Datasets:
stabgan
/
level1_tokenised

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
list
attention_mask
list
[ 2, 818, 13382, 83987, 23691, 21932, 691, 496, 31877, 2748, 529, 506, 7395, 42630, 529, 11363, 6485, 528, 8187, 532, 89313, 1799, 52118, 837, 691, 10057, 684, 102379, 2073, 618, 1388, 618, 116309, 2351, 506, 13382, 10467, 1458, 236761, 669, 2203, 691, 12078, 684, 506, 1299, 72843, 11054, 26403, 58151, 236764, 532, 691, 13336, 2721, 2101, 496, 6674, 3927, 3418, 496, 2644, 529, 13382, 42433, 532, 3732, 5557, 573, 861, 46484, 11535, 618, 1388, 618, 4767, 5254, 580, 6485, 837, 964, 71030, 531, 40231, 236761, 669, 9375, 691, 5158, 699, 236743, 236770, 236819, 236812, 236825, 3097, 236743, 236770, 236819, 236832, 236812, 607, 105386, 7257, 529, 183229, 14877, 1646, 7505, 855, 684, 633, 236761, 236814, 236761, 34525, 657, 506, 3148, 529, 26510, 236761, 669, 13382, 83987, 23691, 21932, 3209, 992, 136355, 67529, 607, 8943, 236764, 122532, 833, 7830, 236764, 496, 30142, 2544, 699, 19662, 618, 1388, 618, 4025, 82250, 529, 5554, 28989, 6022, 528, 99552, 236764, 26726, 837, 691, 6697, 528, 8327, 531, 506, 21199, 532, 2748, 529, 3435, 7247, 236772, 54892, 700, 11362, 27123, 1343, 506, 9375, 236761, 669, 9375, 691, 27702, 618, 496, 3927, 573, 7395, 42630, 529, 13382, 6485, 837, 2473, 2768, 3435, 573, 861, 11535, 653, 1032, 6178, 532, 625, 5452, 496, 5777, 236772, 85085, 13859, 1534, 506, 14923, 3359, 532, 506, 21840, 236761, 669, 13382, 83987, 23691, 21932, 6111, 6749, 3413, 531, 506, 2748, 529, 3732, 20133, 532, 691, 496, 3629, 4912, 4977, 506, 2913, 529, 10293, 20133, 528, 8187, 236761, 3763, 506, 990, 529, 506, 9375, 236789, 236751, 17029, 12882, 528, 7250, 236743, 236770, 236819, 236832, 236812, 506, 7395, 5405, 10977, 528, 8296, 236743, 236778, 236764, 236810, 236771, 236771, 13382, 5557, 529, 3732, 532, 236743, 236778, 236764, 236778, 236810, 236771, 699, 89313, 1799, 52118, 1053, 1010, 16197, 607, 3131, 7549, 861, 183229, 1646, 4813, 532, 8385, 3008, 607, 14314, 529, 3107, 531, 236743, 236778, 236764, 236771, 236771, 236771, 2958, 13009, 580, 3732, 42630, 684, 13382, 116309, 236761, 108, 142031, 1280, 2748, 529, 11363, 6485, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 36623, 495, 563, 496, 4719, 167524, 35509, 528, 506, 42561, 31292, 684, 506, 236743, 236770, 236825, 236773, 132216, 19689, 9331, 236764, 27511, 236772, 236794, 30496, 236778, 236761, 9567, 3904, 6097, 496, 1806, 236772, 887, 4964, 236772, 156692, 236764, 532, 951, 18520, 236761, 799, 528, 25153, 532, 7626, 4681, 236764, 625, 7412, 531, 735, 14455, 46927, 32032, 4518, 236761, 108, 236776, 4719, 167524, 35509, 684, 42561, 10139, 532, 6807, 14455, 46927, 32032, 4518, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 7711, 1689, 12396, 3600, 600, 506, 8688, 529, 861, 117855, 236751, 25039, 3649, 3697, 236772, 3063, 21044, 236764, 7112, 2256, 13625, 236764, 532, 506, 1161, 529, 5671, 236772, 65655, 97388, 3997, 8792, 7005, 506, 28021, 3136, 528, 35971, 17148, 165656, 30152, 4399, 236764, 12176, 51641, 17148, 4399, 10012, 711, 3011, 506, 1638, 7458, 532, 607, 951, 7630, 580, 506, 13482, 3136, 236761, 9077, 2958, 563, 4354, 531, 4006, 506, 15187, 573, 672, 4592, 236772, 49809, 5499, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236778, 236812, 236825, 236778, 236770, 18772, 196977, 77810, 236787, 108, 52420, 7343, 236787, 3790, 228327, 107, 41022, 236787, 36566, 107, 21035, 236787, 236743, 236810, 236771, 107, 3682, 529, 60280, 236787, 3790, 228327, 107, 3682, 529, 129947, 236787, 3790, 228327, 107, 3682, 529, 54147, 567, 236787, 3790, 228327, 108, 236814, 65963, 47615, 156734, 236787, 108, 818, 6213, 563, 496, 236743, 236810, 236771, 236772, 3704, 236772, 947, 8937, 1015, 6212, 607, 3920, 1731, 17412, 532, 155444, 529, 11762, 236761, 669, 6213, 691, 28262, 607, 32370, 1930, 25093, 603, 236772, 9084, 92384, 5537, 568, 30455, 219464, 779, 5552, 10935, 236764, 1308, 60951, 91880, 25270, 574, 75505, 9937, 136747, 236750, 227063, 3413, 528, 1447, 1689, 221086, 607, 4133, 1447, 1689, 37019, 58966, 605, 106855, 236761, 669, 6213, 54051, 3131, 4269, 146397, 236764, 2440, 125892, 188445, 630, 236772, 179298, 2293, 11682, 236764, 630, 236778, 236772, 2293, 5228, 236772, 236777, 11682, 236764, 24313, 236772, 236770, 38958, 236764, 50667, 13831, 236747, 532, 506, 8376, 529, 1521, 164261, 688, 236764, 31940, 543, 150284, 2915, 135289, 236747, 568, 1659, 547, 30505, 769, 669, 6213, 9763, 62495, 585, 14021, 2636, 532, 11105, 11409, 108000, 236761, 108, 818, 6213, 691, 9050, 1699, 7876, 536, 33591, 1124, 528, 8376, 607, 971, 547, 30505, 236764, 103927, 543, 150284, 532, 101918, 1308, 506, 24313, 691, 3472, 528, 15229, 36176, 236772, 1692, 236761, 669, 6213, 9763, 496, 11086, 528, 54856, 2425, 532, 52815, 236823, 35433, 236761, 669, 6213, 3209, 54051, 4587, 829, 1633, 525, 15384, 2145, 68325, 532, 11105, 11862, 236761, 108, 24247, 196977, 142083, 87585, 2249, 236787, 108, 209733, 25093, 603, 236772, 9084, 92384, 5537, 568, 30455, 219464, 779, 32079, 10935, 236764, 607, 603, 5094, 236772, 236778, 103384, 108, 24247, 196977, 3247, 157914, 236787, 108, 236770, 236761, 1030, 563, 2132, 531, 4102, 506, 1500, 236772, 1048, 2065, 607, 822, 215679, 236761, 107, 236778, 236761, 7323, 4102, 531, 1769, 28022, 618, 22603, 532, 1500, 506, 10325, 93668, 10368, 236761, 107, 236800, 236761, 22177, 506, 10325, 9337, 532, 18073, 2731, 2238, 684, 822, 215679, 236761, 107, 236812, 236761, 1030, 563, 2132, 531, 4196, 71322, 531, 506, 10325, 1984, 529, 11756, 22521, 236761, 107, 236810, 236761, 22177, 506, 10325, 4588, 15700, 1076, 684, 822, 215679, 236761, 107, 236825, 236761, 7323, 2072, 1027, 2678, 4518, 653, 18420, 10684, 531, 822, 215679, 6842, 236761, 107, 236832, 236761, 22177, 506, 15136, 573, 3149, 7713, 532, 20502, 5254, 236761, 107, 236828, 236761, 22177, 15136, 573, 1265, 236772, 8057, 532, 4841, 1500, 236772, 1048, 33306, 236761, 2088, 740, 506, 15876, 532, 4269, 2731, 573, 32370, 1930, 25093, 603, 236772, 9084, 92384, 5537, 568, 30455, 219464, 779, 32079, 10935, 236764, 607, 603, 5094, 236772, 236778, 103384, 577, 108184, 1361, 528, 32176, 3755, 573, 496, 1908, 236772, 57177, 5707, 531, 3050, 2721, 580, 506, 1938, 3847, 528, 506, 16555, 12323, 236881, 32370, 1930, 25093, 603, 236772, 9084, 92384, 5537, 563, 496, 1722, 529, 7923, 600, 691, 1765, 528, 496, 236743, 236810, 236771, 236772, 3704, 236772, 947, 880, 1015, 9763, 3920, 1731, 17412, 532, 155444, 529, 11762, 236761, 669, 7923, 1053, 7028, 531, 5552, 10935, 236761, 669, 6213, 691, 2238, 1607, 4458, 529, 17591, 236764, 2440, 11535, 236764, 127193, 236764, 532, 101918, 236764, 532, 1299, 54051, 496, 15384, 2145, 30316, 236761, 669, 6213, 236789, 236751, 7923, 10734, 16466, 528, 2425, 532, 4588, 236764, 5830, 531, 4133, 108000, 236761, 669, 6213, 1374, 4102, 531, 1500, 506, 11808, 529, 910, 215679, 236764, 1769, 28022, 618, 22603, 236764, 4883, 496, 7644, 9337, 236764, 4196, 71322, 236764, 532, 2072, 1027, 2678, 4518, 531, 506, 215679, 236761, 3221, 45792, 3444, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 818, 5905, 14421, 691, 506, 10256, 529, 990, 528, 506, 3328, 173005, 2644, 2180, 22661, 173005, 236761, 669, 10929, 15187, 5012, 145230, 236772, 6796, 2668, 657, 1719, 236743, 236832, 236764, 3861, 529, 105544, 4196, 532, 236743, 236778, 236828, 236772, 1496, 28021, 1308, 46098, 236761, 159592, 4749, 964, 5221, 768, 1027, 529, 506, 2269, 38085, 573, 951, 2344, 1082, 236743, 236810, 432, 398, 1387, 236787, 95060, 4806, 4204, 3426, 236743, 236828, 236771, 653, 1024, 236743, 236770, 236828, 236771, 432, 398, 196418, 236764, 109743, 4806, 4204, 3426, 236743, 236810, 236771, 653, 1024, 236743, 236770, 236771, 236771, 432, 398, 196418, 236764, 653, 3710, 3136, 3426, 236743, 236810, 236771, 653, 1024, 236743, 236770, 236778, 236771, 432, 398, 84845, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236770, 236810, 236800, 236832, 236819, 236825, 129947, 25252, 236787, 108, 52420, 7343, 236787, 870, 1357, 7172, 220760, 236842, 107, 10009, 236799, 236787, 870, 1357, 7172, 220760, 236842, 107, 21035, 236787, 236743, 236800, 236771, 107, 41022, 236787, 36566, 107, 71565, 236787, 646, 236786, 236776, 107, 135434, 6809, 236787, 870, 1357, 7172, 220760, 236842, 107, 4830, 10690, 6809, 236787, 870, 1357, 7172, 220760, 236842, 107, 4036, 29133, 85860, 236787, 8131, 154533, 134108, 568, 236799, 3129, 236768, 108, 53776, 24435, 236787, 108, 818, 6213, 691, 15210, 607, 5065, 161574, 236751, 580, 506, 3392, 532, 7593, 912, 529, 506, 131852, 236764, 618, 1388, 618, 16354, 1153, 133333, 38821, 580, 3572, 4688, 529, 506, 2742, 236761, 669, 6213, 1053, 496, 4083, 529, 26764, 21144, 573, 16354, 1153, 133333, 54856, 14291, 580, 506, 21980, 657, 506, 3911, 529, 3493, 236761, 2640, 506, 3911, 529, 3595, 236764, 506, 6213, 691, 28262, 607, 58944, 175562, 180707, 128206, 525, 183887, 19516, 35198, 532, 1024, 506, 1518, 1053, 60579, 3595, 73016, 76746, 573, 506, 1638, 236761, 14019, 1518, 2269, 506, 30252, 529, 16354, 1153, 38821, 580, 4916, 532, 6172, 236764, 5065, 76746, 964, 3149, 573, 54856, 14291, 236761, 669, 5663, 12644, 9937, 46920, 148293, 236764, 34245, 35393, 1929, 236764, 618, 1388, 618, 18606, 6653, 53198, 532, 129320, 580, 71504, 236761, 562, 131852, 1684, 236772, 1254, 13207, 43311, 547, 52050, 532, 496, 53001, 4574, 2667, 529, 14631, 9937, 183887, 19516, 129320, 236761, 236743, 108, 818, 6213, 236789, 236751, 161574, 236751, 964, 10778, 684, 2441, 118234, 532, 964, 10428, 8476, 4323, 652, 88507, 236761, 669, 6213, 7474, 1208, 506, 2065, 529, 496, 79934, 35180, 2434, 573, 3342, 11734, 236761, 108, 4830, 10690, 20402, 236787, 108, 818, 6213, 563, 528, 10385, 4194, 532, 815, 1010, 10428, 9050, 573, 161574, 236751, 236761, 669, 6213, 815, 1010, 35260, 532, 23034, 531, 1500, 872, 607, 506, 79934, 35180, 2434, 573, 3342, 2065, 236761, 108, 4830, 10690, 195931, 236787, 108, 236797, 236786, 236776, 108, 171641, 236787, 108, 4830, 52989, 2900, 964, 506, 5905, 5526, 3439, 532, 26764, 33592, 4970, 528, 672, 16555, 12323, 236881, 669, 5905, 5526, 4194, 4970, 528, 506, 16555, 12323, 691, 8131, 154533, 134108, 568, 236799, 3129, 779, 837, 964, 10428, 8476, 4323, 652, 88507, 236761, 669, 6213, 992, 1053, 496, 4083, 529, 26764, 21144, 573, 16354, 1153, 133333, 54856, 14291, 580, 506, 21980, 236764, 618, 1388, 618, 58944, 175562, 180707, 128206, 525, 183887, 19516, 35198, 532, 76746, 573, 506, 1638, 236761, 669, 6213, 9885, 531, 577, 34446, 684, 496, 79934, 35180, 2434, 573, 3342, 2065, 236761, 2301, 28022, 964, 9456, 528, 506, 16555, 12323, 236761, 119281, 1854, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 3810, 659, 951, 43901, 600, 59765, 532, 76860, 41221, 52927, 40935, 4208, 506, 10483, 13328, 236772, 6275, 4191, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 818, 37399, 3905, 607, 46919, 650, 10148, 1836, 9485, 529, 44424, 4209, 691, 15779, 531, 506, 34949, 3620, 4209, 4533, 573, 506, 9485, 529, 44424, 236761, 1701, 919, 4889, 236764, 1460, 870, 236770, 236825, 1619, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236819, 236819, 236819, 236825, 236828, 11417, 24435, 236787, 107, 236791, 236770, 236787, 119618, 607, 26699, 532, 1378, 3935, 32799, 1831, 44937, 236761, 71529, 9050, 573, 1151, 15591, 5933, 528, 48131, 236761, 18565, 9626, 11682, 607, 166673, 103457, 532, 71622, 41486, 194748, 236764, 506, 6213, 1151, 15591, 528, 506, 6322, 236761, 80773, 5012, 26699, 236764, 46391, 236786, 31997, 869, 11616, 532, 213959, 59555, 236761, 669, 6213, 12800, 79801, 236772, 19543, 9785, 8376, 11682, 607, 21025, 495, 601, 532, 183254, 2152, 495, 653, 186526, 236761, 4244, 8007, 228695, 691, 10734, 3742, 236764, 9113, 528, 9737, 532, 48394, 108000, 1024, 506, 3068, 236743, 236770, 236810, 3794, 236761, 108, 236791, 236778, 236787, 119618, 607, 496, 1378, 3935, 35668, 6356, 99434, 236764, 1908, 236772, 972, 556, 30012, 236764, 213959, 59555, 236764, 1127, 1121, 236764, 10510, 2278, 532, 95630, 236761, 669, 4194, 691, 30415, 531, 1494, 236772, 46648, 166673, 103457, 236764, 532, 496, 15876, 529, 189707, 236796, 691, 1603, 236761, 32612, 1433, 236772, 1020, 2902, 15090, 128837, 24727, 11682, 691, 27702, 607, 183254, 2152, 495, 532, 3209, 607, 186526, 532, 21025, 495, 601, 236761, 8512, 236772, 65775, 79757, 57266, 79490, 93148, 691, 40925, 528, 8376, 607, 186526, 236764, 9113, 528, 4133, 48394, 532, 11409, 9737, 3072, 236761, 669, 6213, 21211, 5535, 496, 33086, 177810, 207773, 236772, 5282, 59555, 236764, 837, 9806, 1186, 32308, 586, 607, 5190, 514, 145850, 236761, 130691, 158452, 11616, 5535, 532, 1800, 57266, 79490, 93148, 532, 3029, 8007, 228695, 964, 63730, 236761, 669, 6213, 815, 2338, 4461, 886, 8881, 529, 16684, 215691, 532, 919, 5569, 3311, 1205, 150284, 607, 30997, 11531, 528, 10684, 236761, 108, 236791, 236800, 236787, 35281, 4427, 607, 614, 189707, 236796, 236772, 5282, 4194, 568, 236756, 8266, 1735, 236768, 1308, 25529, 607, 1067, 102374, 11616, 236764, 26699, 532, 32799, 1831, 236759, 3754, 236761, 3946, 236772, 31060, 62495, 590, 986, 90591, 28262, 236743, 236778, 1518, 7539, 24897, 56124, 531, 10684, 236761, 562, 1494, 236772, 46648, 125490, 1433, 691, 27702, 531, 9688, 506, 59064, 236764, 532, 22529, 10581, 691, 38225, 2779, 531, 506, 6213, 236789, 236751, 161873, 236761, 66267, 46810, 2256, 691, 11105, 607, 1156, 236772, 65775, 79757, 57266, 79490, 93148, 1503, 22916, 573, 2390, 1518, 236761, 669, 6213, 21211, 5535, 79630, 1782, 662, 104814, 11616, 236764, 837, 691, 24897, 531, 735, 1010, 7321, 684, 15237, 236772, 236825, 85866, 4850, 532, 21889, 531, 16684, 215691, 236764, 840, 189707, 236796, 10684, 12800, 41589, 236761, 562, 7464, 529, 21025, 495, 601, 8428, 2779, 531, 91743, 236764, 532, 3029, 8007, 228695, 691, 18380, 8314, 607, 15318, 11734, 236761, 669, 6213, 815, 12800, 528, 48394, 532, 9737, 108000, 573, 236743, 236819, 3794, 236761, 669, 6213, 5535, 127567, 128206, 511, 673, 6175, 560, 26767, 53368, 837, 21889, 531, 42849, 532, 563, 5633, 580, 186248, 4269, 236761, 108, 4830, 10690, 25252, 236787, 107, 19765, 4399, 964, 28262, 607, 34606, 236772, 235867, 19238, 236789, 236751, 31203, 568, 236776, 3354, 236796, 236768, 653, 559, 8266, 1735, 236761, 593, 236770, 691, 9050, 607, 166673, 103457, 532, 71622, 41486, 194748, 532, 3209, 607, 21025, 495, 601, 532, 183254, 2152, 495, 653, 186526, 840, 12800, 79801, 236772, 19543, 236761, 4244, 8007, 228695, 691, 3742, 236764, 9113, 528, 9737, 532, 48394, 108000, 236761, 593, 236778, 691, 30415, 531, 1494, 236772, 46648, 166673, 103457, 236764, 532, 496, 15876, 529, 189707, 236796, 691, 1603, 236761, 669, 6213, 21889, 531, 79801, 236772, 1020, 2902, 15090, 128837, 24727, 11682, 236764, 840, 1308, 506, 2517, 529, 57266, 79490, 93148, 532, 3029, 8007, 228695, 236764, 506, 6213, 236789, 236751, 10684, 138032, 236761, 593, 236800, 691, 28262, 607, 559, 8266, 1735, 236764, 877, 236772, 31060, 161873, 24897, 56124, 531, 10684, 236761, 60101, 542, 2256, 691, 11105, 607, 57266, 79490, 93148, 573, 2390, 1518, 236764, 532, 1308, 8812, 79630, 1782, 662, 104814, 11616, 236764, 3029, 8007, 228695, 691, 8314, 607, 15318, 11734, 236761, 669, 4399, 735, 12800, 56191, 10385, 607, 496, 2321, 31094, 236764, 532, 7293, 5633, 1660, 103616, 236761, 2900, 7157, 821, 1915, 19094, 964, 21891, 528, 506, 4269, 532, 6634, 3003, 10458, 529, 506, 2238, 16555, 12323, 4596, 531, 506, 6213, 236789, 236751, 3072, 531, 3029, 8007, 228695, 236881, 799, 506, 2238, 16555, 12323, 236764, 7157, 821, 1915, 19094, 4596, 531, 506, 6213, 236789, 236751, 3072, 531, 3029, 8007, 228695, 964, 21891, 528, 784, 1806, 3636, 236761, 799, 784, 3636, 236764, 506, 2517, 529, 3029, 8007, 228695, 15116, 528, 9737, 532, 48394, 108000, 653, 6208, 573, 9626, 529, 9737, 108000, 236761, 17354, 2172, 47278, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236770, 236770, 236819, 236828, 236778, 236771, 11417, 24435, 236787, 107, 2094, 563, 496, 12323, 529, 506, 6634, 3003, 529, 496, 236743, 236825, 236825, 236772, 3704, 236772, 947, 8937, 607, 496, 236743, 236810, 236772, 1496, 236772, 947, 155860, 59555, 580, 914, 3718, 50917, 236761, 108, 16146, 532, 27085, 236787, 107, 818, 6213, 6212, 607, 1060, 5626, 102996, 190436, 806, 236772, 51584, 47719, 6835, 575, 650, 670, 3201, 13803, 506, 71504, 529, 914, 4916, 532, 106350, 529, 914, 6172, 532, 21211, 21574, 1346, 529, 914, 2742, 3761, 236761, 2301, 151305, 21366, 653, 38673, 54661, 964, 4785, 236761, 108, 138771, 532, 131591, 236787, 107, 25146, 4806, 2145, 1527, 691, 6984, 837, 6418, 93682, 24129, 2180, 124051, 154979, 236761, 4028, 3535, 7713, 964, 5676, 573, 3246, 15090, 150785, 10625, 236764, 58295, 603, 532, 565, 236764, 102658, 236764, 2314, 495, 13046, 26866, 236764, 8430, 742, 8825, 26866, 236764, 532, 17491, 26401, 236761, 30383, 118599, 9391, 84654, 529, 12483, 236764, 26285, 32280, 1594, 236764, 532, 30841, 4806, 83250, 964, 3867, 236761, 62517, 112063, 91053, 532, 37997, 13942, 222441, 8521, 8825, 25828, 20502, 6418, 951, 11005, 529, 43807, 200366, 653, 5139, 149967, 236761, 108, 160597, 236787, 107, 22515, 580, 506, 4414, 532, 5676, 12396, 236764, 506, 15876, 529, 23590, 236811, 653, 5517, 34905, 236789, 236751, 5933, 691, 1603, 236761, 108, 74528, 532, 22583, 236787, 107, 74528, 607, 1036, 142348, 30807, 691, 27702, 532, 5378, 531, 496, 7226, 11531, 532, 61562, 529, 506, 38821, 236761, 669, 6213, 815, 12800, 528, 1535, 2404, 607, 951, 11005, 529, 49498, 1308, 236743, 236778, 1518, 529, 1500, 236772, 1048, 236761, 108, 4830, 10690, 59902, 236787, 107, 3771, 3530, 16555, 11808, 964, 3149, 236761, 2900, 7489, 20880, 4596, 531, 506, 6213, 236789, 236751, 5526, 4194, 740, 577, 23583, 1699, 80917, 37834, 77021, 528, 672, 16555, 12323, 236881, 23590, 236811, 653, 5517, 34905, 236789, 236751, 5933, 563, 506, 5526, 4194, 600, 740, 577, 23583, 1699, 80917, 37834, 77021, 699, 506, 2238, 16555, 12323, 236761, 2301, 1032, 7489, 20880, 4596, 531, 506, 6213, 236789, 236751, 5526, 4194, 659, 6950, 528, 506, 12323, 236761, 80917, 37834, 77021, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 818, 7464, 691, 10833, 684, 506, 7123, 77538, 73026, 236743, 236778, 6498, 57202, 107, 84645, 568, 30449, 236743, 236770, 236828, 236786, 3158, 236786, 236771, 236770, 236819, 236825, 236768, 532, 506, 5554, 6498, 19430, 236761, 1455, 107, 28061, 13029, 20407, 2470, 102244, 43671, 9661, 568, 2249, 167209, 236797, 236793, 5577, 107, 236770, 236800, 236800, 236832, 236771, 236832, 236825, 236832, 236768, 691, 28606, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 26479, 506, 2269, 2934, 236764, 3890, 11262, 236786, 1904, 236761, 3792, 236789, 236751, 1751, 2918, 684, 2918, 236761, 17605, 236787, 53836, 529, 8073, 529, 5663, 1292, 600, 102905, 653, 3205, 42236, 5663, 5596, 607, 24890, 528, 5085, 529, 6376, 4882, 568, 2466, 236798, 236768, 563, 4127, 531, 20655, 506, 2913, 529, 33592, 531, 5001, 653, 9249, 506, 30252, 529, 7747, 236798, 24890, 236761, 1191, 16010, 3363, 8073, 529, 5663, 1292, 657, 29645, 659, 71354, 529, 506, 14063, 27085, 19791, 46357, 236764, 618, 4113, 529, 5663, 5596, 236764, 532, 24890, 236764, 657, 3595, 1518, 1500, 236772, 1048, 236761, 214204, 34934, 2748, 528, 236743, 236825, 236778, 236810, 6029, 236772, 4130, 532, 9862, 9205, 236761, 27085, 5596, 691, 8434, 684, 667, 1762, 10429, 236751, 14063, 27085, 19791, 46357, 568, 548, 73751, 5663, 5596, 236787, 6317, 655, 236825, 236768, 532, 7747, 236798, 5596, 684, 506, 167926, 236953, 49626, 568, 2466, 236798, 24890, 236787, 6317, 57846, 236743, 236770, 769, 27085, 1292, 691, 8434, 684, 17195, 1292, 568, 495, 1758, 1186, 779, 1526, 168412, 6332, 236764, 2420, 6332, 236764, 532, 5663, 4588, 236761, 669, 25493, 1534, 5663, 1292, 532, 506, 213519, 1662, 42236, 5663, 5596, 532, 24890, 236772, 8318, 964, 9460, 1699, 55108, 21055, 236761, 27026, 17195, 1292, 532, 3715, 2420, 6332, 964, 5143, 607, 496, 3718, 4652, 529, 2963, 42236, 5663, 5596, 236764, 50013, 236784, 236771, 236761, 236819, 236828, 236764, 236743, 236819, 236810, 236908, 29302, 870, 236771, 236761, 236819, 236825, 236793, 236743, 236771, 236761, 236819, 236819, 236842, 810, 236743, 236770, 236771, 639, 236786, 1387, 532, 50013, 236784, 236771, 236761, 236819, 236832, 236764, 236743, 236819, 236810, 236908, 29302, 870, 236771, 236761, 236819, 236812, 236793, 236743, 236771, 236761, 236819, 236819, 236842, 810, 236743, 236770, 236771, 74604, 236764, 6619, 236761, 34474, 1526, 168412, 6332, 236764, 2420, 6332, 532, 1984, 529, 5663, 4588, 964, 5143, 607, 496, 3718, 4652, 529, 2963, 7747, 236798, 24890, 236764, 50013, 236784, 236771, 236761, 236832, 236778, 236764, 236743, 236819, 236810, 236908, 29302, 870, 236771, 236761, 236810, 236832, 236793, 236743, 236771, 236761, 236819, 236778, 236842, 810, 236743, 236770, 236771, 11944, 236764, 50013, 236784, 236771, 236761, 236819, 236810, 236764, 236743, 236819, 236810, 236908, 29302, 870, 236771, 236761, 236819, 236778, 236793, 236743, 236771, 236761, 236819, 236828, 236842, 810, 236743, 236770, 236771, 74604, 236764, 50013, 236784, 236771, 236761, 236819, 236828, 236764, 236743, 236819, 236810, 236908, 29302, 870, 236771, 236761, 236819, 236825, 236793, 236743, 236771, 236761, 236819, 236819, 236842, 810, 1523, 236772, 8318, 236764, 6619, 236761, 25275, 22488, 573, 29645, 7747, 236798, 24890, 1602, 711, 63420, 6692, 506, 1523, 236772, 89729, 568, 20285, 573, 1526, 168412, 6332, 769, 19566, 236787, 2375, 5663, 28488, 4596, 531, 1800, 614, 42236, 5663, 5596, 532, 7747, 236798, 24890, 1017, 496, 3595, 1051, 1500, 236772, 1048, 2748, 528, 6029, 236772, 4130, 532, 9862, 9205, 236881, 27085, 28488, 563, 4596, 531, 1800, 614, 42236, 5663, 5596, 532, 7747, 236798, 24890, 528, 6029, 236772, 4130, 532, 9862, 9205, 236761, 669, 2748, 1765, 600, 2480, 17195, 1292, 236764, 3715, 2420, 6332, 236764, 532, 3715, 1526, 168412, 6332, 964, 5143, 607, 496, 3718, 4652, 529, 2963, 42236, 5663, 5596, 532, 7747, 236798, 24890, 236761, 1174, 12205, 600, 14526, 5663, 1292, 236764, 6412, 2420, 6332, 236764, 1149, 1601, 5001, 653, 9249, 506, 30252, 529, 7747, 236798, 24890, 528, 672, 5499, 236761, 107, 818, 2748, 992, 1765, 600, 39919, 573, 29645, 7747, 236798, 24890, 1602, 711, 63420, 2352, 506, 1523, 236772, 89729, 573, 1346, 8073, 529, 5663, 1292, 236764, 17674, 600, 1239, 8073, 1149, 577, 7798, 71354, 529, 5663, 5596, 532, 7747, 236798, 24890, 236761, 107, 818, 4338, 3890, 563, 11262, 236764, 5663, 28488, 563, 4596, 531, 1800, 614, 42236, 5663, 5596, 532, 7747, 236798, 24890, 528, 6029, 236772, 4130, 532, 9862, 9205, 236761, 107, 7925, 236787, 8438, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 3243, 12560, 7723, 784, 2748, 20503, 2180, 23779, 4518, 236761, 61964, 28933, 1262, 532, 11762, 1594, 1262, 964, 47713, 528, 886, 32571, 1546, 236764, 2779, 531, 8330, 4078, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2805, 42852, 532, 72652, 62867, 21055, 18025, 964, 25015, 531, 1586, 506, 6829, 5872, 528, 44986, 639, 66977, 532, 506, 7081, 200880, 985, 236858, 236751, 1938, 30667, 568, 177492, 236768, 691, 6984, 531, 5347, 506, 12567, 2028, 6137, 532, 5675, 496, 4369, 9118, 573, 30923, 506, 4652, 529, 639, 66977, 236761, 669, 65759, 3204, 3911, 657, 15876, 236764, 7547, 236764, 5905, 3432, 236764, 11398, 236764, 199343, 236764, 532, 236774, 236772, 17585, 236761, 29485, 9118, 691, 14494, 2721, 580, 1239, 7016, 568, 236746, 10795, 4369, 9118, 691, 992, 3847, 528, 1023, 2748, 769, 669, 10634, 532, 26363, 529, 506, 4369, 9118, 964, 22222, 684, 506, 106537, 9023, 532, 506, 565, 236772, 2662, 236761, 669, 29283, 14729, 964, 25015, 531, 13901, 506, 25725, 1534, 506, 5396, 15187, 532, 506, 15282, 39716, 236761, 669, 84036, 532, 5853, 236777, 964, 9255, 531, 10769, 506, 3736, 1534, 506, 4369, 9118, 532, 506, 9737, 65759, 236761, 18741, 236764, 506, 9737, 14955, 528, 4893, 236772, 15992, 691, 22222, 684, 139893, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2094, 59515, 2256, 7464, 568, 167209, 236768, 691, 496, 3161, 236772, 3873, 236764, 3161, 236772, 79832, 524, 2748, 29529, 506, 4518, 529, 496, 114881, 236772, 57057, 508, 214513, 580, 29491, 1292, 236764, 14028, 4535, 529, 559, 2184, 525, 61816, 532, 506, 14718, 119433, 236761, 60624, 964, 59515, 531, 3477, 5908, 496, 6376, 214513, 14439, 3075, 607, 67216, 236796, 33901, 9106, 568, 115625, 2299, 236768, 653, 531, 4595, 580, 506, 9337, 1186, 568, 8607, 2299, 769, 57202, 13196, 691, 4597, 699, 506, 5554, 6498, 57202, 8171, 529, 98268, 207132, 3148, 568, 236773, 236770, 236828, 236786, 236771, 236800, 236786, 236771, 236825, 236812, 779, 532, 506, 2748, 95023, 531, 506, 59253, 529, 74520, 12466, 236761, 669, 16433, 13450, 573, 37249, 13196, 691, 95023, 531, 1913, 506, 2748, 236761, 185485, 13782, 691, 4597, 699, 11383, 1680, 901, 35430, 528, 506, 2748, 236761, 669, 2748, 691, 12314, 607, 506, 8789, 9992, 43671, 65968, 568, 6597, 97227, 236778, 236771, 236778, 236771, 236771, 236778, 236828, 236819, 236778, 236770, 236828, 236832, 236778, 236825, 236810, 769, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2267, 236743, 236828, 236772, 3704, 236772, 947, 3953, 563, 6111, 531, 506, 21355, 684, 1116, 6296, 573, 496, 236743, 236770, 236771, 236772, 11283, 4083, 529, 50783, 19424, 532, 49157, 6745, 1583, 236761, 2625, 815, 14644, 14773, 38888, 532, 3189, 1304, 6494, 17149, 70374, 1164, 1680, 14773, 38888, 657, 3446, 236761, 2625, 815, 1053, 496, 236743, 236832, 236772, 7022, 568, 236770, 236810, 236772, 23909, 236768, 3825, 7411, 1913, 672, 2846, 9785, 951, 3731, 528, 39485, 236761, 2625, 563, 9690, 532, 33002, 236764, 532, 224611, 12644, 563, 221980, 236761, 9529, 5663, 12644, 236764, 1304, 74205, 128251, 1308, 506, 21355, 17221, 496, 7274, 2260, 236764, 13342, 496, 18762, 9168, 236761, 2625, 7474, 17565, 1308, 506, 24976, 236761, 3108, 986, 155034, 5167, 607, 7316, 128422, 9118, 563, 1346, 4547, 531, 1407, 837, 529, 506, 2269, 10371, 40035, 30252, 529, 17673, 11707, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 178341, 513, 117818, 100023, 698, 1940, 236775, 17230, 531, 496, 2523, 529, 15127, 3224, 618, 113919, 70748, 2152, 41066, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 92567, 607, 1494, 5619, 529, 50013, 17991, 236770, 1053, 496, 72911, 67123, 1082, 1724, 607, 2708, 5619, 529, 50013, 17991, 236770, 236761, 568, 236776, 236768, 16080, 14729, 529, 506, 645, 4340, 3894, 531, 910, 50013, 17991, 236770, 5619, 4981, 236764, 236791, 236784, 236771, 236761, 236771, 236771, 236800, 236793, 568, 236799, 236768, 105102, 14729, 529, 506, 645, 4340, 4399, 3894, 531, 910, 50013, 17991, 236770, 5619, 4981, 236764, 236791, 236820, 236771, 236761, 236771, 236771, 236770, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 45344, 13683, 78112, 691, 614, 3668, 9624, 236764, 18660, 236764, 532, 21637, 8505, 236761, 1293, 7779, 618, 506, 2228, 9624, 8505, 657, 14148, 11210, 3148, 699, 236743, 236770, 236819, 236778, 236800, 531, 236743, 236770, 236819, 236778, 236810, 236764, 96085, 496, 3423, 529, 236743, 236770, 236800, 236964, 236770, 236800, 236964, 236770, 78112, 691, 992, 506, 2228, 18660, 8505, 657, 14148, 11210, 699, 236743, 236770, 236819, 236778, 236778, 531, 236743, 236770, 236819, 236778, 236825, 532, 506, 2528, 236789, 236751, 2228, 21637, 8505, 699, 236743, 236770, 236819, 236778, 236810, 531, 236743, 236770, 236819, 236778, 236825, 236761, 78112, 6657, 8672, 9624, 657, 842, 236761, 206817, 7430, 237028, 2998, 3224, 618, 3415, 50184, 3148, 237028, 495, 3148, 49037, 236764, 13574, 236761, 1293, 8390, 580, 7250, 236743, 236770, 236764, 236743, 236770, 236819, 236800, 236770, 236764, 657, 73071, 11417, 528, 17567, 236764, 13574, 236764, 1308, 15944, 496, 29222, 34164, 23226, 528, 496, 3798, 1679, 496, 1076, 529, 31393, 236761, 108, 14645, 8568, 8505, 568, 236770, 236828, 236819, 236771, 236964, 236770, 236819, 236800, 236770, 236768, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 745, 236750, 1736, 5167, 529, 34319, 236775, 17230, 531, 496, 21381, 45988, 12644, 529, 506, 34319, 7600, 532, 12989, 9108, 573, 506, 5708, 529, 22451, 9813, 20502, 529, 506, 3538, 21346, 532, 26832, 236761, 1174, 8897, 60432, 1494, 236772, 27521, 5057, 11707, 532, 563, 6984, 618, 496, 1908, 236772, 83176, 1996, 531, 50611, 506, 34319, 7600, 532, 1061, 13269, 236761, 83722, 1736, 5167, 529, 506, 34319, 740, 577, 6684, 573, 114964, 3439, 1288, 618, 103803, 11616, 236764, 892, 47173, 236764, 65932, 236764, 532, 1032, 141505, 21574, 506, 34319, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236855, 688, 56272, 4574, 557, 34819, 743, 563, 496, 10483, 236772, 36954, 236764, 2417, 755, 236764, 13411, 16771, 236772, 24850, 236764, 12187, 236772, 30558, 107206, 236761, 108, 66300, 529, 107206, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236776, 3342, 14421, 4113, 529, 1023, 2748, 691, 506, 1548, 529, 2668, 7785, 528, 6634, 2779, 531, 506, 15984, 236761, 5774, 580, 6634, 59586, 964, 52236, 699, 506, 5526, 13049, 529, 506, 11383, 657, 506, 1345, 529, 506, 236743, 236825, 240088, 80227, 1500, 240088, 1048, 2846, 236761, 60624, 528, 506, 125736, 464, 366, 375, 236862, 464, 366, 375, 236792, 1692, 2299, 1053, 614, 4398, 529, 236743, 236800, 236761, 236810, 568, 8209, 236784, 464, 366, 375, 236825, 236761, 236771, 236770, 236768, 2668, 529, 6634, 22831, 1913, 506, 236743, 236770, 236771, 464, 366, 375, 80227, 529, 506, 7464, 236764, 1651, 11383, 528, 506, 125736, 2299, 1053, 614, 4398, 529, 236743, 236770, 236778, 236761, 236800, 236819, 568, 8209, 236784, 464, 366, 375, 236770, 236800, 236761, 236825, 236832, 236768, 2668, 529, 6634, 22831, 236764, 837, 12183, 531, 577, 39425, 3629, 657, 496, 2455, 1763, 2425, 568, 236836, 236784, 464, 366, 375, 236778, 236770, 236819, 236761, 236771, 236771, 236764, 236758, 236784, 464, 366, 375, 236771, 236761, 236771, 236812, 236828, 236764, 38769, 236789, 11102, 236784, 464, 366, 375, 236771, 236761, 236828, 236812, 236778, 769, 6542, 236764, 692, 1765, 4914, 573, 506, 1707, 600, 225405, 815, 19003, 4518, 580, 1759, 240088, 9524, 29140, 236761, 3143, 2536, 659, 6469, 18475, 568, 236811, 1129, 4520, 236764, 146238, 236764, 10219, 1196, 594, 40253, 432, 398, 514, 1126, 236778, 236771, 236778, 236770, 236755, 769, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 2266, 12589, 1982, 1873, 531, 7593, 47938, 236775, 17230, 531, 496, 26648, 12214, 30167, 8897, 6984, 580, 506, 49257, 11103, 3904, 529, 506, 7593, 47938, 236764, 1699, 47613, 1982, 1873, 531, 2980, 2953, 5526, 3439, 236761, 1174, 8897, 563, 992, 3224, 618, 47613, 1982, 1873, 11682, 653, 22824, 529, 11103, 236764, 532, 563, 10518, 573, 26648, 8616, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1505, 7171, 524, 607, 496, 11262, 236786, 1904, 5526, 26410, 236764, 822, 12092, 563, 531, 36181, 506, 2934, 236789, 236751, 6590, 532, 5518, 496, 1388, 236772, 30809, 3890, 236761, 27441, 684, 6655, 496, 8652, 21385, 529, 506, 2934, 236789, 236751, 4403, 236761, 4298, 236764, 108119, 506, 28507, 4977, 822, 9949, 3072, 236764, 17096, 13868, 3671, 236761, 13472, 236764, 29910, 496, 3582, 29663, 529, 3477, 11262, 653, 951, 236764, 28642, 684, 822, 15569, 236761, 61018, 1891, 822, 4893, 657, 506, 1345, 684, 5712, 25685, 236787, 11262, 236786, 1904, 236761, 17605, 236787, 121337, 7474, 1024, 506, 12567, 21238, 529, 16489, 32993, 1308, 232014, 236761, 113970, 32993, 815, 13646, 12132, 132909, 532, 23947, 15187, 236764, 840, 2473, 9249, 121033, 11682, 236761, 57264, 236764, 24701, 32993, 5862, 573, 25558, 44147, 529, 121033, 11682, 236764, 840, 607, 14846, 26819, 23947, 2536, 236761, 669, 11068, 16010, 3363, 1027, 3629, 16489, 7923, 236772, 15396, 16671, 4954, 7519, 580, 506, 5150, 529, 506, 21238, 529, 32993, 1308, 232014, 236761, 10352, 496, 7923, 39698, 236764, 5526, 8657, 236764, 532, 12763, 14906, 7021, 236764, 784, 33654, 74044, 3607, 1015, 54051, 88501, 232014, 573, 16489, 7923, 1534, 236743, 236770, 236819, 236828, 236819, 532, 236743, 236778, 236771, 236771, 236832, 964, 6641, 531, 236743, 236778, 236771, 236770, 236778, 653, 990, 529, 4355, 236761, 73405, 7923, 236772, 15396, 16671, 691, 5483, 573, 232014, 4399, 1015, 1602, 653, 1602, 711, 26833, 32993, 236761, 32335, 20688, 39232, 4681, 964, 20202, 39919, 573, 3224, 46144, 236764, 5933, 33326, 7016, 236764, 210394, 236764, 532, 32993, 21238, 236761, 5517, 236743, 236825, 236832, 236819, 236771, 12560, 5012, 528, 506, 2748, 236764, 236743, 236800, 236800, 236770, 568, 236812, 236761, 236819, 11376, 54051, 16489, 32993, 236761, 5517, 1724, 1015, 54051, 32993, 236764, 236743, 236778, 236771, 236819, 568, 236825, 236800, 11376, 532, 236743, 236770, 236778, 236778, 568, 236800, 236832, 11376, 54051, 13258, 532, 24701, 32993, 236764, 6619, 236761, 16871, 220459, 3671, 6418, 9806, 16489, 7923, 236772, 15396, 16671, 3571, 784, 16489, 32993, 4399, 5483, 607, 4399, 1015, 54051, 232014, 7057, 568, 108816, 7232, 870, 17372, 1604, 236743, 236771, 236761, 236825, 236812, 236793, 236743, 236819, 236810, 236908, 10805, 8448, 870, 9575, 1604, 236743, 236771, 236761, 236812, 236828, 236772, 236771, 236761, 236828, 236825, 769, 799, 496, 72652, 2028, 22690, 496, 990, 236772, 126249, 221454, 531, 6253, 573, 21238, 529, 32993, 699, 232014, 236764, 951, 4954, 528, 16671, 691, 5773, 1534, 4399, 1015, 54051, 32993, 657, 1027, 990, 532, 1724, 1015, 54051, 232014, 1186, 568, 17372, 236764, 236743, 236771, 236761, 236832, 236810, 236793, 236743, 236819, 236810, 236908, 29302, 236764, 236743, 236771, 236761, 236810, 236825, 236772, 236770, 236761, 236771, 236771, 769, 2301, 8798, 528, 16489, 7923, 236772, 15396, 16671, 964, 5773, 580, 506, 5150, 529, 1722, 529, 32993, 236761, 19566, 236787, 14300, 21238, 529, 6531, 3674, 69175, 10292, 94386, 15827, 1404, 73405, 21120, 236772, 46163, 74929, 1017, 562, 39208, 236772, 22515, 16785, 236881, 10352, 496, 2455, 5499, 236772, 5140, 2748, 528, 33654, 74044, 236764, 14168, 1765, 600, 993, 691, 951, 3629, 4954, 528, 16489, 7923, 236772, 15396, 16671, 1534, 3607, 1015, 54051, 232014, 7057, 532, 1724, 1015, 1053, 16489, 32993, 236764, 17194, 529, 3363, 506, 32993, 691, 13258, 653, 24701, 236761, 1174, 12205, 600, 506, 21238, 529, 1868, 3674, 69175, 10292, 32993, 1677, 711, 33225, 16489, 7923, 236772, 15396, 16671, 236761, 107, 7925, 236787, 2301, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 7925, 506, 2269, 2934, 684, 25605, 886, 529, 506, 2653, 12871, 236761, 42085, 506, 28507, 1657, 529, 822, 4893, 236761, 19566, 236787, 10452, 20104, 529, 3636, 529, 105076, 4273, 3993, 547, 79687, 2869, 563, 3028, 573, 784, 529, 506, 2269, 7483, 4533, 107, 8755, 236787, 107, 236776, 236761, 2282, 2426, 573, 72691, 107, 236799, 236761, 2282, 8701, 1494, 4652, 5499, 107, 236780, 236761, 2282, 9128, 1051, 529, 30252, 529, 15984, 236751, 107, 236796, 236761, 2282, 2354, 1494, 4652, 4402, 669, 2934, 19565, 1003, 506, 25920, 528, 506, 3282, 573, 25479, 496, 1757, 20104, 529, 3636, 529, 105076, 4273, 3993, 547, 79687, 2869, 568, 96585, 779, 837, 563, 496, 11059, 30252, 529, 22702, 528, 886, 653, 919, 19064, 236761, 562, 1757, 20104, 563, 496, 3606, 151059, 1694, 529, 3636, 236764, 2440, 910, 3577, 532, 9737, 9507, 236764, 600, 17630, 7226, 10834, 532, 3671, 529, 1262, 236761, 107, 236776, 236761, 2282, 2426, 573, 72691, 236787, 1174, 5086, 563, 21648, 236761, 10452, 20104, 563, 3028, 531, 8701, 532, 6349, 36929, 3636, 236764, 837, 7351, 5001, 3972, 236772, 123166, 529, 3636, 532, 22606, 506, 10634, 529, 506, 1262, 236761, 107, 236799, 236761, 2282, 8701, 1494, 236772, 37716, 5499, 236787, 1174, 5086, 563, 4338, 236761, 120570, 1494, 236772, 37716, 17014, 563, 711, 506, 5905, 5708, 529, 496, 1757, 20104, 236761, 10452, 20104, 563, 1456, 531, 49573, 1262, 236764, 1573, 1237, 2404, 33592, 236764, 532, 4087, 506, 5609, 529, 5933, 2256, 6607, 236761, 107, 236780, 236761, 2282, 9128, 1051, 529, 30252, 529, 15984, 236787, 1174, 5086, 563, 21648, 236761, 10452, 20104, 5132, 506, 3433, 529, 30252, 529, 15984, 236764, 837, 7351, 6054, 768, 3636, 10997, 2351, 506, 10325, 990, 5528, 573, 73645, 28687, 236761, 1174, 1938, 563, 13832, 573, 506, 25558, 16118, 529, 3435, 1268, 22187, 9872, 12268, 236764, 618, 1388, 618, 506, 12207, 529, 506, 3736, 529, 121045, 144954, 19898, 236761, 107, 236796, 236761, 2282, 2354, 1494, 236772, 37716, 4402, 236787, 1174, 5086, 563, 21648, 236761, 10452, 20104, 740, 577, 1456, 531, 2354, 506, 46144, 532, 9737, 9507, 529, 3636, 236764, 837, 1149, 3204, 1938, 580, 1494, 236772, 37716, 4402, 236761, 3153, 236764, 21558, 1494, 236772, 37716, 17014, 563, 711, 506, 5905, 5671, 529, 496, 1757, 20104, 236761, 107, 902, 12323, 236764, 1757, 20104, 563, 496, 5904, 1456, 528, 1237, 2404, 531, 2514, 4087, 529, 3636, 236764, 2440, 910, 9507, 532, 3435, 4652, 5872, 236761, 1030, 563, 10057, 573, 3572, 7483, 236764, 1288, 618, 16329, 573, 72691, 532, 17096, 506, 10634, 529, 1262, 236764, 49378, 506, 30252, 529, 15984, 236764, 532, 84706, 1494, 236772, 37716, 4402, 236761, 3153, 236764, 506, 5708, 529, 21558, 1494, 236772, 37716, 17014, 563, 711, 912, 529, 506, 1757, 20104, 1657, 236761, 6841, 236764, 506, 4338, 5086, 563, 603, 236761, 2282, 8701, 1494, 236772, 37716, 5499, 236761, 107, 7925, 236787, 603, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 902, 672, 5526, 16613, 29455, 496, 11262, 236786, 1904, 3072, 236764, 822, 4209, 563, 531, 54653, 506, 2934, 532, 2729, 496, 109014, 29663, 236761, 165785, 684, 151847, 506, 26761, 529, 506, 7609, 214219, 236761, 66936, 236764, 92541, 1131, 506, 61064, 4977, 822, 9949, 3890, 236764, 6655, 496, 9813, 15569, 236761, 1700, 6024, 684, 44945, 496, 55290, 11262, 653, 951, 29663, 236764, 181295, 684, 822, 3671, 236761, 61018, 1891, 822, 4893, 657, 506, 1345, 684, 5712, 25685, 236787, 11262, 236786, 1904, 17605, 236787, 156250, 209968, 45635, 563, 17202, 684, 801, 1831, 597, 1049, 139432, 31811, 22904, 528, 3072, 531, 15962, 236772, 42831, 43827, 3549, 9938, 236761, 14104, 11682, 607, 26992, 115841, 3874, 735, 1010, 10340, 531, 11790, 801, 2836, 38821, 2269, 49526, 9938, 236761, 669, 6342, 529, 506, 1873, 2748, 691, 531, 5608, 506, 4518, 529, 1382, 97583, 14761, 54769, 2145, 1982, 4921, 532, 529, 633, 1398, 508, 236772, 77194, 1854, 14761, 54769, 236772, 42179, 115841, 3874, 580, 801, 2836, 118729, 528, 26992, 143422, 236761, 562, 51121, 784, 679, 110593, 964, 6984, 528, 9833, 32649, 568, 10589, 236768, 532, 18811, 568, 1618, 236824, 236768, 27336, 236761, 14104, 11682, 691, 6984, 684, 19125, 529, 1156, 23540, 529, 236743, 236770, 236771, 3625, 11618, 236824, 14761, 54769, 188893, 3874, 531, 27945, 11618, 236824, 2269, 80838, 130042, 236761, 633, 1398, 508, 236764, 496, 2708, 13021, 3825, 14699, 774, 198786, 568, 236798, 19397, 236811, 236768, 691, 1456, 531, 122802, 14761, 54769, 236772, 42179, 115841, 3874, 236761, 22749, 4402, 529, 236743, 236770, 236771, 27336, 5012, 236787, 61637, 563, 679, 110593, 568, 10589, 531, 53260, 779, 61637, 784, 679, 110593, 236764, 532, 1806, 784, 160617, 524, 4402, 236764, 6619, 236764, 9050, 684, 166498, 508, 11682, 236764, 2145, 11682, 236764, 653, 2145, 532, 166498, 508, 11682, 236761, 562, 41005, 964, 9971, 684, 16483, 8703, 3671, 657, 236743, 236800, 236771, 513, 236761, 799, 506, 12312, 529, 4269, 236764, 801, 2836, 118729, 691, 5314, 528, 784, 160617, 1082, 528, 563, 160617, 4402, 568, 236778, 236819, 236819, 238715, 236810, 236771, 14922, 236743, 236800, 236761, 236810, 238715, 236770, 236761, 236832, 5458, 236757, 236764, 593, 236820, 236771, 236761, 236771, 236771, 236770, 769, 14104, 11682, 7057, 236764, 166498, 508, 11682, 7057, 236764, 532, 506, 9292, 4269, 964, 3505, 531, 5001, 801, 2836, 118729, 528, 784, 679, 110593, 568, 236810, 236761, 236770, 238715, 236770, 236761, 236832, 236764, 236743, 236825, 236761, 236770, 238715, 236778, 236761, 236800, 236764, 236743, 236812, 236761, 236770, 238715, 236778, 236761, 236810, 236764, 14922, 236743, 236778, 236819, 236819, 238715, 236810, 236771, 5458, 236757, 6619, 236764, 593, 236820, 236771, 236761, 236771, 236771, 236770, 769, 799, 506, 1806, 9050, 4402, 236764, 506, 801, 2836, 38330, 691, 496, 3161, 6352, 529, 49526, 3874, 31470, 8080, 236800, 236812, 4414, 236764, 49526, 67382, 20102, 91975, 568, 236744, 87585, 236768, 4414, 236764, 532, 13244, 236800, 3530, 236772, 92757, 78881, 23453, 4414, 236761, 19566, 236787, 14300, 4587, 829, 1633, 525, 14761, 54769, 2145, 11682, 5001, 801, 2836, 31811, 528, 784, 12782, 525, 26992, 68325, 236881, 669, 2748, 19275, 531, 5608, 506, 4518, 529, 1382, 97583, 14761, 54769, 2145, 1982, 4921, 532, 529, 633, 1398, 508, 236772, 77194, 1662, 14761, 54769, 236772, 42179, 115841, 3874, 580, 801, 2836, 118729, 528, 26992, 143422, 236761, 799, 506, 2748, 236764, 80838, 784, 679, 110593, 964, 6984, 528, 9833, 32649, 568, 10589, 236768, 532, 18811, 568, 1618, 236824, 236768, 27336, 236761, 14104, 11682, 691, 6984, 684, 19125, 529, 1156, 23540, 529, 236743, 236770, 236771, 3625, 11618, 236824, 14761, 54769, 188893, 3874, 531, 27945, 11618, 236824, 2269, 80838, 130042, 236761, 107, 818, 2536, 6418, 600, 528, 506, 12312, 529, 4269, 236764, 801, 2836, 118729, 691, 5314, 528, 784, 160617, 1082, 528, 563, 160617, 4402, 236761, 3153, 236764, 2145, 11682, 7057, 236764, 166498, 508, 11682, 7057, 236764, 532, 506, 9292, 4269, 964, 3505, 531, 5001, 801, 2836, 118729, 528, 784, 679, 110593, 236761, 799, 506, 1806, 9050, 4402, 236764, 506, 801, 2836, 38330, 691, 496, 3161, 6352, 529, 49526, 3874, 31470, 8080, 236800, 236812, 4414, 236764, 49526, 67382, 20102, 91975, 568, 236744, 87585, 236768, 4414, 236764, 532, 13244, 236800, 3530, 236772, 92757, 78881, 23453, 4414, 236761, 107, 9208, 12396, 3600, 600, 4587, 829, 1633, 525, 14761, 54769, 2145, 11682, 740, 11161, 5001, 801, 2836, 31811, 528, 784, 12782, 525, 26992, 68325, 236761, 669, 2536, 3847, 506, 7724, 529, 3495, 529, 27945, 4587, 829, 44150, 14761, 236772, 236757, 2681, 2145, 11682, 573, 506, 21733, 529, 17044, 104814, 43796, 236761, 107, 7925, 236787, 8438, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2542, 564, 565, 622, 568, 5251, 15241, 529, 12818, 1732, 3393, 992, 2760, 18964, 236753, 6480, 505, 236828, 236770, 236800, 236770, 506, 3867, 6492, 563, 92384, 37717, 75179, 50528, 148095, 78364, 236764, 16665, 13653, 529, 2228, 236764, 3392, 236764, 532, 10225, 1452, 506, 9813, 4403, 7906, 753, 236743, 236770, 236761, 31203, 41959, 568, 16716, 532, 162805, 236764, 167634, 1865, 532, 32180, 53163, 236764, 13739, 26125, 29966, 236764, 59086, 28989, 62720, 626, 236743, 236778, 236761, 88692, 5490, 1048, 568, 121723, 41183, 236764, 54424, 35281, 12318, 236764, 58731, 24607, 24575, 236786, 142692, 14419, 236787, 842, 1209, 46382, 236764, 38248, 33582, 236764, 4333, 214123, 6272, 42120, 236764, 26935, 529, 10201, 8708, 35254, 236764, 109421, 532, 40170, 665, 626, 236743, 236800, 236761, 8813, 532, 27896, 568, 21108, 27896, 184790, 236764, 195931, 236764, 10645, 236772, 198229, 3535, 4471, 27335, 236787, 34152, 1830, 236764, 120302, 181595, 236764, 10973, 236764, 45325, 532, 22177, 236772, 1048, 626, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 568, 1489, 5440, 6015, 236764, 51508, 1301, 62546, 626, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 568, 52420, 9426, 236787, 104442, 236764, 10353, 16661, 236764, 17172, 81323, 39359, 236764, 155040, 2341, 104560, 236764, 80773, 531, 16501, 1701, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 92384, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 568, 19749, 17287, 236768, 563, 496, 8401, 532, 23225, 115678, 529, 15082, 50528, 148095, 78364, 568, 2293, 236798, 769, 1030, 563, 17202, 684, 496, 11373, 9095, 528, 59693, 532, 496, 6658, 26444, 529, 36619, 236772, 171975, 6315, 3874, 236761, 36416, 17287, 10789, 573, 8296, 236743, 236770, 236908, 531, 236743, 236770, 236761, 236810, 236908, 529, 784, 5831, 236798, 3636, 236761, 1030, 563, 919, 14003, 3472, 528, 8812, 17835, 532, 563, 3187, 5143, 607, 22397, 13482, 236761, 669, 20522, 3911, 529, 15876, 563, 11082, 1534, 236743, 236800, 236771, 532, 236743, 236812, 236771, 1518, 236764, 607, 496, 8937, 189998, 236761, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 669, 4453, 4400, 529, 36416, 17287, 563, 11908, 236764, 840, 3131, 4652, 5872, 735, 1010, 8385, 236787, 107, 140, 236829, 139, 1018, 21035, 53121, 4643, 3364, 528, 9862, 12795, 568, 5006, 1082, 236743, 236825, 236810, 236768, 532, 3184, 12795, 568, 236778, 236771, 236772, 236800, 236819, 1518, 2255, 769, 107, 140, 236829, 139, 1018, 44978, 53121, 172669, 919, 3364, 528, 23267, 236761, 669, 10403, 563, 16354, 1153, 84475, 236764, 496, 9760, 50528, 148095, 78364, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 26125, 29966, 236764, 59086, 28989, 62720, 626, 236743, 236778, 236761, 88692, 5490, 1048, 568, 121723, 41183, 236764, 54424, 35281, 12318, 236764, 58731, 24607, 24575, 236786, 142692, 14419, 236787, 842, 1209, 46382, 236764, 38248, 33582, 236764, 4333, 214123, 6272, 42120, 236764, 26935, 529, 10201, 8708, 35254, 236764, 109421, 532, 40170, 665, 626, 236743, 236800, 236761, 8813, 532, 27896, 568, 21108, 27896, 184790, 236764, 195931, 236764, 10645, 236772, 198229, 3535, 4471, 27335, 236787, 34152, 1830, 236764, 120302, 181595, 236764, 10973, 236764, 45325, 532, 22177, 236772, 1048, 626, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 568, 1489, 5440, 6015, 236764, 51508, 1301, 62546, 626, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 568, 52420, 9426, 236787, 104442, 236764, 10353, 16661, 236764, 17172, 81323, 39359, 236764, 155040, 2341, 104560, 236764, 80773, 531, 16501, 1701, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 92384, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 568, 19749, 17287, 236768, 563, 496, 8401, 532, 23225, 115678, 529, 15082, 50528, 148095, 78364, 568, 2293, 236798, 769, 1030, 563, 17202, 684, 496, 11373, 9095, 528, 59693, 532, 496, 6658, 26444, 529, 36619, 236772, 171975, 6315, 3874, 236761, 36416, 17287, 10789, 573, 8296, 236743, 236770, 236908, 531, 236743, 236770, 236761, 236810, 236908, 529, 784, 5831, 236798, 3636, 236761, 1030, 563, 919, 14003, 3472, 528, 8812, 17835, 532, 563, 3187, 5143, 607, 22397, 13482, 236761, 669, 20522, 3911, 529, 15876, 563, 11082, 1534, 236743, 236800, 236771, 532, 236743, 236812, 236771, 1518, 236764, 607, 496, 8937, 189998, 236761, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 669, 4453, 4400, 529, 36416, 17287, 563, 11908, 236764, 840, 3131, 4652, 5872, 735, 1010, 8385, 236787, 107, 140, 236829, 139, 1018, 21035, 53121, 4643, 3364, 528, 9862, 12795, 568, 5006, 1082, 236743, 236825, 236810, 236768, 532, 3184, 12795, 568, 236778, 236771, 236772, 236800, 236819, 1518, 2255, 769, 107, 140, 236829, 139, 1018, 44978, 53121, 172669, 919, 3364, 528, 23267, 236761, 669, 10403, 563, 16354, 1153, 84475, 236764, 496, 9760, 50528, 148095, 78364, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 10645, 236772, 198229, 3535, 4471, 27335, 236787, 34152, 1830, 236764, 120302, 181595, 236764, 10973, 236764, 45325, 532, 22177, 236772, 1048, 626, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 568, 1489, 5440, 6015, 236764, 51508, 1301, 62546, 626, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 568, 52420, 9426, 236787, 104442, 236764, 10353, 16661, 236764, 17172, 81323, 39359, 236764, 155040, 2341, 104560, 236764, 80773, 531, 16501, 1701, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 92384, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 568, 19749, 17287, 236768, 563, 496, 8401, 532, 23225, 115678, 529, 15082, 50528, 148095, 78364, 568, 2293, 236798, 769, 1030, 563, 17202, 684, 496, 11373, 9095, 528, 59693, 532, 496, 6658, 26444, 529, 36619, 236772, 171975, 6315, 3874, 236761, 36416, 17287, 10789, 573, 8296, 236743, 236770, 236908, 531, 236743, 236770, 236761, 236810, 236908, 529, 784, 5831, 236798, 3636, 236761, 1030, 563, 919, 14003, 3472, 528, 8812, 17835, 532, 563, 3187, 5143, 607, 22397, 13482, 236761, 669, 20522, 3911, 529, 15876, 563, 11082, 1534, 236743, 236800, 236771, 532, 236743, 236812, 236771, 1518, 236764, 607, 496, 8937, 189998, 236761, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 669, 4453, 4400, 529, 36416, 17287, 563, 11908, 236764, 840, 3131, 4652, 5872, 735, 1010, 8385, 236787, 107, 140, 236829, 139, 1018, 21035, 53121, 4643, 3364, 528, 9862, 12795, 568, 5006, 1082, 236743, 236825, 236810, 236768, 532, 3184, 12795, 568, 236778, 236771, 236772, 236800, 236819, 1518, 2255, 769, 107, 140, 236829, 139, 1018, 44978, 53121, 172669, 919, 3364, 528, 23267, 236761, 669, 10403, 563, 16354, 1153, 84475, 236764, 496, 9760, 50528, 148095, 78364, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 531, 16501, 1701, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 92384, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 568, 19749, 17287, 236768, 563, 496, 8401, 532, 23225, 115678, 529, 15082, 50528, 148095, 78364, 568, 2293, 236798, 769, 1030, 563, 17202, 684, 496, 11373, 9095, 528, 59693, 532, 496, 6658, 26444, 529, 36619, 236772, 171975, 6315, 3874, 236761, 36416, 17287, 10789, 573, 8296, 236743, 236770, 236908, 531, 236743, 236770, 236761, 236810, 236908, 529, 784, 5831, 236798, 3636, 236761, 1030, 563, 919, 14003, 3472, 528, 8812, 17835, 532, 563, 3187, 5143, 607, 22397, 13482, 236761, 669, 20522, 3911, 529, 15876, 563, 11082, 1534, 236743, 236800, 236771, 532, 236743, 236812, 236771, 1518, 236764, 607, 496, 8937, 189998, 236761, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 669, 4453, 4400, 529, 36416, 17287, 563, 11908, 236764, 840, 3131, 4652, 5872, 735, 1010, 8385, 236787, 107, 140, 236829, 139, 1018, 21035, 53121, 4643, 3364, 528, 9862, 12795, 568, 5006, 1082, 236743, 236825, 236810, 236768, 532, 3184, 12795, 568, 236778, 236771, 236772, 236800, 236819, 1518, 2255, 769, 107, 140, 236829, 139, 1018, 44978, 53121, 172669, 919, 3364, 528, 23267, 236761, 669, 10403, 563, 16354, 1153, 84475, 236764, 496, 9760, 50528, 148095, 78364, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 532, 162805, 53121, 92384, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 568, 19749, 17287, 236768, 563, 496, 8401, 532, 23225, 115678, 529, 15082, 50528, 148095, 78364, 568, 2293, 236798, 769, 1030, 563, 17202, 684, 496, 11373, 9095, 528, 59693, 532, 496, 6658, 26444, 529, 36619, 236772, 171975, 6315, 3874, 236761, 36416, 17287, 10789, 573, 8296, 236743, 236770, 236908, 531, 236743, 236770, 236761, 236810, 236908, 529, 784, 5831, 236798, 3636, 236761, 1030, 563, 919, 14003, 3472, 528, 8812, 17835, 532, 563, 3187, 5143, 607, 22397, 13482, 236761, 669, 20522, 3911, 529, 15876, 563, 11082, 1534, 236743, 236800, 236771, 532, 236743, 236812, 236771, 1518, 236764, 607, 496, 8937, 189998, 236761, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 669, 4453, 4400, 529, 36416, 17287, 563, 11908, 236764, 840, 3131, 4652, 5872, 735, 1010, 8385, 236787, 107, 140, 236829, 139, 1018, 21035, 53121, 4643, 3364, 528, 9862, 12795, 568, 5006, 1082, 236743, 236825, 236810, 236768, 532, 3184, 12795, 568, 236778, 236771, 236772, 236800, 236819, 1518, 2255, 769, 107, 140, 236829, 139, 1018, 44978, 53121, 172669, 919, 3364, 528, 23267, 236761, 669, 10403, 563, 16354, 1153, 84475, 236764, 496, 9760, 50528, 148095, 78364, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 529, 784, 5831, 236798, 3636, 236761, 1030, 563, 919, 14003, 3472, 528, 8812, 17835, 532, 563, 3187, 5143, 607, 22397, 13482, 236761, 669, 20522, 3911, 529, 15876, 563, 11082, 1534, 236743, 236800, 236771, 532, 236743, 236812, 236771, 1518, 236764, 607, 496, 8937, 189998, 236761, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 669, 4453, 4400, 529, 36416, 17287, 563, 11908, 236764, 840, 3131, 4652, 5872, 735, 1010, 8385, 236787, 107, 140, 236829, 139, 1018, 21035, 53121, 4643, 3364, 528, 9862, 12795, 568, 5006, 1082, 236743, 236825, 236810, 236768, 532, 3184, 12795, 568, 236778, 236771, 236772, 236800, 236819, 1518, 2255, 769, 107, 140, 236829, 139, 1018, 44978, 53121, 172669, 919, 3364, 528, 23267, 236761, 669, 10403, 563, 16354, 1153, 84475, 236764, 496, 9760, 50528, 148095, 78364, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 840, 3131, 4652, 5872, 735, 1010, 8385, 236787, 107, 140, 236829, 139, 1018, 21035, 53121, 4643, 3364, 528, 9862, 12795, 568, 5006, 1082, 236743, 236825, 236810, 236768, 532, 3184, 12795, 568, 236778, 236771, 236772, 236800, 236819, 1518, 2255, 769, 107, 140, 236829, 139, 1018, 44978, 53121, 172669, 919, 3364, 528, 23267, 236761, 669, 10403, 563, 16354, 1153, 84475, 236764, 496, 9760, 50528, 148095, 78364, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 115678, 600, 236789, 236751, 919, 3364, 528, 24864, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 1473, 1018, 22282, 13482, 607, 72197, 236847, 236764, 506, 10625, 600, 9454, 1503, 62128, 6015, 236764, 563, 496, 4652, 5415, 236761, 107, 140, 236829, 139, 1018, 36623, 30383, 150785, 57620, 568, 90318, 1473, 1018, 44545, 607, 22397, 13482, 236761, 107, 140, 236829, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 139, 1018, 113815, 585, 14021, 2636, 53121, 66716, 607, 63299, 15962, 3797, 659, 657, 3715, 4652, 236761, 107, 140, 236829, 139, 1018, 23301, 10358, 53121, 20607, 496, 2523, 4083, 529, 50528, 148095, 78364, 568, 142077, 36791, 653, 6296, 236768, 8427, 8110, 506, 4652, 236761, 107, 140, 236829, 139, 1018, 23240, 156250, 53121, 10358, 529, 2963, 614, 2030, 30316, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 26125, 29966, 53121, 36416, 17287, 563, 496, 603, 236772, 5447, 11233, 78364, 17202, 684, 496, 189998, 529, 55799, 36619, 236772, 171975, 6315, 3874, 532, 496, 75179, 35668, 1695, 236761, 36619, 236772, 171975, 6315, 3874, 659, 2455, 236764, 3187, 57922, 4123, 774, 3874, 607, 19942, 5704, 8244, 236764, 6494, 4970, 618, 2963, 614, 623, 29423, 236789, 236751, 7068, 236775, 10086, 236761, 799, 36416, 17287, 236764, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 506, 10944, 35266, 35668, 3874, 236764, 6412, 59693, 236764, 659, 56345, 236761, 669, 1156, 1689, 58750, 24812, 659, 236787, 107, 140, 236829, 139, 1018, 209733, 56287, 32852, 53121, 22470, 1662, 684, 496, 72014, 25277, 1695, 607, 93819, 69596, 236764, 31295, 50528, 148095, 532, 36619, 236772, 171975, 6315, 568, 212635, 236768, 3874, 236764, 2441, 236747, 20464, 236764, 532, 2321, 14028, 3874, 653, 124051, 3750, 3448, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236761, 107, 140, 236829, 139, 1018, 236794, 6139, 1153, 53121, 25772, 10572, 113402, 3874, 11572, 5143, 607, 614, 134926, 3646, 532, 4846, 24530, 4065, 236761, 107, 140, 236829, 139, 19749, 17287, 3187, 15060, 607, 603, 10684, 532, 9691, 5552, 568, 10121, 236772, 3767, 236768, 5933, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 40887, 607, 36416, 17287, 3187, 1861, 607, 236787, 107, 140, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236829, 139, 1018, 236791, 49599, 4649, 28904, 92384, 143137, 53121, 7660, 14003, 528, 506, 10225, 236764, 3774, 172062, 236764, 653, 155930, 236761, 107, 140, 236829, 139, 1018, 236799, 80773, 53121, 107, 144, 236829, 139, 1018, 236811, 1627, 53121, 1286, 83357, 26699, 236764, 3187, 5314, 1082, 236743, 236770, 236771, 236771, 236761, 236812, 237366, 236811, 568, 236800, 236828, 237366, 236780, 769, 107, 144, 236829, 139, 1018, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 43146, 40340, 2139, 53121, 622, 5958, 522, 3446, 223979, 236761, 107, 144, 236829, 139, 1018, 17115, 28374, 53121, 1286, 83357, 3825, 3967, 529, 919, 1082, 236743, 236770, 236771, 236908, 529, 2742, 3825, 1024, 236743, 236825, 3794, 236761, 107, 140, 236829, 139, 1018, 77310, 14362, 53121, 162189, 532, 124813, 28994, 236761, 107, 140, 236829, 139, 1018, 3778, 556, 24592, 53121, 1030, 29425, 5716, 236764, 4285, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1308, 68593, 653, 10812, 11749, 236761, 107, 140, 236829, 139, 1018, 13517, 80773, 53121, 170285, 236764, 155444, 529, 11762, 236764, 16466, 39485, 236764, 37305, 4331, 653, 40043, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 107, 140, 236829, 139, 1018, 174361, 14741, 6272, 42120, 53121, 1787, 37228, 1598, 16665, 5349, 65717, 563, 12373, 1024, 7157, 236772, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 117500, 65717, 236761, 30794, 236772, 117500, 80125, 563, 36265, 573, 15876, 236761, 107, 140, 236829, 139, 1018, 18069, 118234, 53121, 107, 144, 236829, 139, 26564, 9056, 831, 529, 36619, 236772, 171975, 6315, 3874, 532, 56345, 1695, 59693, 236761, 107, 144, 236829, 139, 166823, 236772, 171975, 6315, 3874, 735, 217793, 982, 774, 33388, 607, 19942, 124051, 88856, 20773, 236772, 5282, 5704, 8244, 236761, 107, 144, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236829, 139, 12055, 735, 55514, 20852, 69008, 653, 73871, 28650, 236761, 107, 144, 236829, 139, 11634, 9935, 236787, 32370, 1930, 69596, 532, 5578, 12706, 236761, 107, 140, 236829, 139, 1018, 113815, 82289, 30897, 53121, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 4414, 573, 8080, 236800, 236771, 236764, 8080, 236770, 236810, 568, 8697, 779, 214652, 236810, 568, 47573, 779, 532, 645, 11471, 568, 495, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 6062, 77480, 573, 72197, 236847, 35509, 19689, 769, 107, 144, 236829, 139, 236776, 105032, 3874, 659, 5676, 573, 8080, 236778, 236771, 236764, 8080, 236812, 236810, 236764, 84545, 236778, 236764, 212352, 236770, 236764, 532, 9634, 236855, 236770, 236761, 107, 140, 236829, 139, 1018, 24569, 56000, 8876, 53121, 2282, 6157, 855, 1032, 215197, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1018, 13517, 5375, 9846, 529, 50528, 148095, 92384, 5537, 53121, 198284, 1153, 84475, 236764, 9726, 20290, 665, 236764, 124764, 236772, 9705, 236761, 107, 140, 236829, 139, 1018, 14042, 236772, 126986, 148095, 92384, 6645, 53121, 1455, 134926, 3646, 2455, 2145, 78364, 236764, 558, 236772, 5447, 215197, 236764, 603, 236772, 5447, 215197, 236761, 107, 140, 236829, 139, 1018, 236774, 236772, 5447, 236786, 17637, 236747, 37717, 236772, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 9705, 2455, 603, 236772, 5447, 78364, 1018, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 2282, 5608, 573, 69384, 236764, 31850, 109552, 236764, 16665, 109552, 236764, 532, 203219, 109552, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 92384, 109552, 568, 976, 124764, 1527, 236768, 563, 13629, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 174361, 20464, 53121, 25126, 2644, 563, 8296, 236743, 236770, 236764, 236771, 236771, 236771, 531, 236743, 236812, 236764, 236828, 236771, 236771, 59693, 810, 180927, 2598, 529, 4806, 236761, 799, 36416, 17287, 236764, 672, 1093, 577, 8792, 3718, 236761, 107, 140, 236829, 139, 1018, 174791, 146035, 31748, 568, 202777, 1473, 1018, 2282, 13901, 15961, 532, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 29491, 1292, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 3353, 16913, 23464, 15961, 28364, 653, 28322, 29491, 1292, 236764, 4285, 768, 506, 78364, 815, 7028, 531, 1239, 28560, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 90496, 5343, 53121, 25126, 2644, 563, 236743, 236800, 236761, 236812, 531, 236743, 236810, 236761, 236812, 549, 236786, 109370, 236761, 3353, 577, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 16466, 528, 9691, 13479, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 105872, 102577, 563, 496, 1908, 236772, 15396, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 1740, 236794, 53121, 25126, 2644, 563, 236743, 236771, 236772, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236778, 236778, 6929, 236786, 2929, 573, 1758, 532, 236743, 236771, 236772, 236778, 236819, 6929, 236786, 2929, 573, 3607, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 12023, 18126, 529, 25125, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 190894, 53121, 25126, 2644, 563, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2344, 1082, 236743, 236770, 236761, 236771, 12124, 236786, 109370, 236761, 107, 140, 236829, 139, 1018, 236798, 773, 606, 1783, 50604, 781, 568, 19749, 236814, 1473, 1018, 105872, 138284, 740, 10128, 12290, 7112, 532, 563, 3187, 23464, 528, 215197, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 19749, 236814, 53121, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 25126, 2644, 563, 236743, 236770, 236778, 236778, 531, 236743, 236778, 236778, 236778, 749, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 105872, 4535, 659, 5143, 607, 78364, 236761, 107, 144, 236829, 139, 1018, 105330, 12396, 53121, 105872, 236761, 107, 144, 236829, 139, 1018, 131059, 53121, 107, 148, 236829, 139, 1018, 76796, 236772, 236778, 15103, 42731, 15986, 53121, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 25126, 2644, 563, 655, 236778, 236761, 236810, 12124, 236786, 236798, 236761, 107, 140, 236829, 139, 1018, 90318, 33582, 53121, 18800, 531, 506, 12428, 607, 22397, 236761, 107, 144, 236829, 139, 1018, 101527, 53121, 85860, 529, 11096, 30383, 150785, 57620, 568, 90318, 236768, 13482, 563, 13336, 1603, 1343, 506, 1161, 529, 1369, 23261, 48254, 236761, 3143, 48254, 1769, 886, 529, 1156, 6667, 236787, 23453, 12692, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 48254, 532, 3530, 22397, 30488, 568, 236758, 236778, 236812, 236768, 11091, 236761, 669, 23453, 48254, 659, 4781, 22047, 190456, 230623, 568, 236788, 5299, 236768, 837, 659, 1456, 531, 9128, 10885, 529, 614, 3141, 236789, 236751, 15962, 1458, 531, 3530, 23637, 73109, 236761, 3143, 48254, 1149, 577, 45047, 531, 6440, 22397, 236772, 236770, 236764, 22397, 236772, 236778, 236764, 653, 22397, 236772, 236770, 532, 236743, 236778, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 19639, 532, 531, 6440, 1800, 171805, 532, 62976, 236761, 107, 140, 236829, 139, 1018, 29984, 10502, 236772, 109912, 57620, 568, 56343, 236847, 236768, 33582, 53121, 2282, 5608, 573, 72197, 236847, 13482, 236761, 107, 140, 236829, 139, 1018, 82683, 2481, 809, 562, 64521, 532, 6272, 42120, 53121, 2282, 2426, 573, 14761, 54769, 21366, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 107, 144, 236829, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 215197, 236761, 107, 140, 236829, 139, 1018, 236776, 107577, 532, 46670, 55808, 18238, 53121, 3143, 9780, 2847, 20446, 9106, 532, 12496, 236761, 107, 140, 236829, 139, 1018, 1683, 17691, 236770, 7918, 53121, 669, 3393, 565, 236828, 236770, 236761, 236800, 236770, 815, 496, 1722, 236743, 236770, 79368, 5433, 607, 3577, 4083, 529, 50528, 148095, 78364, 568, 236953, 236828, 236810, 236761, 236832, 236770, 769, 107, 236829, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 139, 1018, 1692, 52621, 53121, 5517, 506, 10225, 236764, 15350, 236764, 45203, 236764, 532, 99081, 531, 5608, 506, 9489, 529, 506, 78364, 236761, 107, 144, 236829, 139, 1018, 99845, 53121, 3353, 577, 1456, 573, 919, 9813, 20502, 529, 3530, 4106, 236761, 107, 144, 236829, 139, 1018, 60171, 236786, 1692, 52621, 53121, 29164, 573, 61959, 532, 531, 5608, 4269, 3072, 236761, 107, 148, 236829, 139, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 215197, 236761, 107, 140, 236829, 139, 1018, 236776, 107577, 532, 46670, 55808, 18238, 53121, 3143, 9780, 2847, 20446, 9106, 532, 12496, 236761, 107, 140, 236829, 139, 1018, 1683, 17691, 236770, 7918, 53121, 669, 3393, 565, 236828, 236770, 236761, 236800, 236770, 815, 496, 1722, 236743, 236770, 79368, 5433, 607, 3577, 4083, 529, 50528, 148095, 78364, 568, 236953, 236828, 236810, 236761, 236832, 236770, 769, 107, 236829, 139, 1018, 19892, 82032, 77905, 53121, 107, 140, 236829, 139, 1018, 82727, 5375, 2084, 53121, 82032, 496, 1607, 115678, 529, 50528, 148095, 78364, 568, 236744, 236761, 236759, 1126, 16354, 1153, 84475, 236768, 1056, 506, 13049, 8207, 11387, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 41941, 25243, 2027, 53121, 206078, 531, 20193, 506, 3209, 2027, 568, 989, 236764, 1447, 236764, 40368, 236768, 768, 506, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 6259, 236743, 236778, 22044, 529, 14802, 15513, 236764, 4399, 11082, 26833, 506, 1171, 38538, 3072, 10834, 1699, 36176, 236786, 1692, 48158, 236761, 107, 148, 236829, 139, 818, 2536, 659, 1299, 27707, 1699, 506, 1783, 826, 6914, 13138, 600, 25584, 496, 236743, 236810, 236772, 3947, 21649, 1458, 236761, 107, 148, 236829, 139, 818, 5559, 9796, 580, 506, 7426, 9960, 529, 32926, 984, 9700, 118594, 568, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 215197, 236761, 107, 140, 236829, 139, 1018, 236776, 107577, 532, 46670, 55808, 18238, 53121, 3143, 9780, 2847, 20446, 9106, 532, 12496, 236761, 107, 140, 236829, 139, 1018, 1683, 17691, 236770, 7918, 53121, 669, 3393, 565, 236828, 236770, 236761, 236800, 236770, 815, 496, 1722, 236743, 236770, 79368, 5433, 607, 3577, 4083, 529, 50528, 148095, 78364, 568, 236953, 236828, 236810, 236761, 236832, 236770, 769, 107, 236829, 139, 1018, 19892, 82032, 77905, 53121, 107, 140, 236829, 139, 1018, 82727, 5375, 2084, 53121, 82032, 496, 1607, 115678, 529, 50528, 148095, 78364, 568, 236744, 236761, 236759, 1126, 16354, 1153, 84475, 236768, 1056, 506, 13049, 8207, 11387, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 41941, 25243, 2027, 53121, 206078, 531, 20193, 506, 3209, 2027, 568, 989, 236764, 1447, 236764, 40368, 236768, 768, 506, 13049, 12765, 625, 236761, 107, 140, 236829, 139, 1018, 84930, 80773, 13884, 529, 506, 85860, 53121, 82032, 1186, 506, 10684, 568, 236744, 236761, 236759, 1126, 16665, 17544, 43796, 236768, 2180, 20446, 506, 10778, 15876, 529, 50528, 148095, 78364, 236761, 107, 140, 236829, 139, 1018, 84930, 623, 16146, 529, 236775, 13884, 529, 23531, 31203, 53121, 13810, 3091, 496, 3068, 4083, 529, 50528, 148095, 78364, 607, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 35023, 236823, 236768, 35433, 528, 5418, 7088, 531, 600, 529, 220331, 83098, 532, 15961, 236761, 669, 16823, 563, 618, 5238, 236787, 27242, 236743, 236770, 236787, 951, 35433, 236761, 27242, 236743, 236778, 236787, 35433, 563, 4745, 531, 653, 3426, 220331, 83098, 236761, 27242, 236743, 236800, 236787, 35433, 563, 2787, 220331, 83098, 840, 4745, 531, 653, 3426, 506, 15961, 236761, 27242, 236743, 236812, 236787, 35433, 563, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 215197, 236761, 107, 140, 236829, 139, 1018, 236776, 107577, 532, 46670, 55808, 18238, 53121, 3143, 9780, 2847, 20446, 9106, 532, 12496, 236761, 107, 140, 236829, 139, 1018, 1683, 17691, 236770, 7918, 53121, 669, 3393, 565, 236828, 236770, 236761, 236800, 236770, 815, 496, 1722, 236743, 236770, 79368, 5433, 607, 3577, 4083, 529, 50528, 148095, 78364, 568, 236953, 236828, 236810, 236761, 236832, 236770, 769, 107, 236829, 139, 1018, 19892, 82032, 77905, 53121, 107, 140, 236829, 139, 1018, 82727, 5375, 2084, 53121, 82032, 496, 1607, 115678, 529, 50528, 148095, 78364, 568, 236744, 236761, 236759, 1126, 16354, 1153, 84475, 236768, 1056, 506, 13049, 8207, 11387, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 41941, 25243, 2027, 53121, 206078, 531, 20193, 506, 3209, 2027, 568, 989, 236764, 1447, 236764, 40368, 236768, 768, 506, 13049, 12765, 625, 236761, 107, 140, 236829, 139, 1018, 84930, 80773, 13884, 529, 506, 85860, 53121, 82032, 1186, 506, 10684, 568, 236744, 236761, 236759, 1126, 16665, 17544, 43796, 236768, 2180, 20446, 506, 10778, 15876, 529, 50528, 148095, 78364, 236761, 107, 140, 236829, 139, 1018, 84930, 623, 16146, 529, 236775, 13884, 529, 23531, 31203, 53121, 13810, 3091, 496, 3068, 4083, 529, 50528, 148095, 78364, 607, 1873, 236764, 5158, 5933, 236761, 107, 236829, 139, 1018, 38408, 53121, 107, 140, 236829, 139, 1018, 34318, 8739, 68327, 53121, 562, 6213, 15060, 607, 136656, 48608, 16665, 17544, 43796, 236761, 562, 16665, 5349, 65717, 44898, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 236761, 669, 21355, 236789, 236751, 8687, 532, 51753, 2072, 1800, 20193, 21366, 529, 506, 10225, 16665, 13653, 236761, 8739, 236787, 565, 236828, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 51641, 3715, 1082, 15961, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 5239, 22517, 17617, 53121, 107, 144, 236829, 139, 1018, 3066, 15513, 53121, 568, 151800, 67387, 568, 236796, 1169, 504, 230997, 779, 42910, 59106, 236764, 19006, 46111, 688, 236764, 150224, 33725, 10223, 236768, 563, 496, 3364, 1171, 236772, 1257, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 215197, 236761, 107, 140, 236829, 139, 1018, 236776, 107577, 532, 46670, 55808, 18238, 53121, 3143, 9780, 2847, 20446, 9106, 532, 12496, 236761, 107, 140, 236829, 139, 1018, 1683, 17691, 236770, 7918, 53121, 669, 3393, 565, 236828, 236770, 236761, 236800, 236770, 815, 496, 1722, 236743, 236770, 79368, 5433, 607, 3577, 4083, 529, 50528, 148095, 78364, 568, 236953, 236828, 236810, 236761, 236832, 236770, 769, 107, 236829, 139, 1018, 19892, 82032, 77905, 53121, 107, 140, 236829, 139, 1018, 82727, 5375, 2084, 53121, 82032, 496, 1607, 115678, 529, 50528, 148095, 78364, 568, 236744, 236761, 236759, 1126, 16354, 1153, 84475, 236768, 1056, 506, 13049, 8207, 11387, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 41941, 25243, 2027, 53121, 206078, 531, 20193, 506, 3209, 2027, 568, 989, 236764, 1447, 236764, 40368, 236768, 768, 506, 13049, 12765, 625, 236761, 107, 140, 236829, 139, 1018, 84930, 80773, 13884, 529, 506, 85860, 53121, 82032, 1186, 506, 10684, 568, 236744, 236761, 236759, 1126, 16665, 17544, 43796, 236768, 2180, 20446, 506, 10778, 15876, 529, 50528, 148095, 78364, 236761, 107, 140, 236829, 139, 1018, 84930, 623, 16146, 529, 236775, 13884, 529, 23531, 31203, 53121, 13810, 3091, 496, 3068, 4083, 529, 50528, 148095, 78364, 607, 1873, 236764, 5158, 5933, 236761, 107, 236829, 139, 1018, 38408, 53121, 107, 140, 236829, 139, 1018, 34318, 8739, 68327, 53121, 562, 6213, 15060, 607, 136656, 48608, 16665, 17544, 43796, 236761, 562, 16665, 5349, 65717, 44898, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 236761, 669, 21355, 236789, 236751, 8687, 532, 51753, 2072, 1800, 20193, 21366, 529, 506, 10225, 16665, 13653, 236761, 8739, 236787, 565, 236828, 236770, 236761, 236800, 236770, 236761, 107, 140, 236829, 139, 1018, 82727, 8739, 68327, 53121, 562, 6213, 607, 496, 4083, 529, 50528, 148095, 78364, 15060, 573, 496, 15668, 2426, 236772, 1048, 532, 563, 5633, 528, 108000, 236761, 669, 226070, 71330, 74940, 565, 236828, 236770, 236761, 236800, 236770, 236761, 669, 4338, 3393, 1093, 577, 1491, 236828, 236810, 236761, 236832, 236770, 568, 33076, 4083, 529, 50528, 148095, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 70821, 236761, 107, 144, 236829, 139, 1018, 12051, 179441, 14616, 53121, 568, 59796, 59106, 236764, 645, 3991, 71395, 236764, 53819, 67387, 236764, 42897, 69884, 30505, 236764, 89048, 2323, 688, 236764, 1255, 82953, 10223, 236764, 23697, 14363, 811, 236768, 1149, 577, 1456, 528, 9691, 13479, 653, 1151, 15591, 236786, 1811, 1213, 933, 5933, 236761, 107, 140, 236829, 139, 1018, 145500, 42356, 53121, 3353, 577, 1456, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 215197, 236761, 107, 140, 236829, 139, 1018, 236776, 107577, 532, 46670, 55808, 18238, 53121, 3143, 9780, 2847, 20446, 9106, 532, 12496, 236761, 107, 140, 236829, 139, 1018, 1683, 17691, 236770, 7918, 53121, 669, 3393, 565, 236828, 236770, 236761, 236800, 236770, 815, 496, 1722, 236743, 236770, 79368, 5433, 607, 3577, 4083, 529, 50528, 148095, 78364, 568, 236953, 236828, 236810, 236761, 236832, 236770, 769, 107, 236829, 139, 1018, 19892, 82032, 77905, 53121, 107, 140, 236829, 139, 1018, 82727, 5375, 2084, 53121, 82032, 496, 1607, 115678, 529, 50528, 148095, 78364, 568, 236744, 236761, 236759, 1126, 16354, 1153, 84475, 236768, 1056, 506, 13049, 8207, 11387, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 41941, 25243, 2027, 53121, 206078, 531, 20193, 506, 3209, 2027, 568, 989, 236764, 1447, 236764, 40368, 236768, 768, 506, 13049, 12765, 625, 236761, 107, 140, 236829, 139, 1018, 84930, 80773, 13884, 529, 506, 85860, 53121, 82032, 1186, 506, 10684, 568, 236744, 236761, 236759, 1126, 16665, 17544, 43796, 236768, 2180, 20446, 506, 10778, 15876, 529, 50528, 148095, 78364, 236761, 107, 140, 236829, 139, 1018, 84930, 623, 16146, 529, 236775, 13884, 529, 23531, 31203, 53121, 13810, 3091, 496, 3068, 4083, 529, 50528, 148095, 78364, 607, 1873, 236764, 5158, 5933, 236761, 107, 236829, 139, 1018, 38408, 53121, 107, 140, 236829, 139, 1018, 34318, 8739, 68327, 53121, 562, 6213, 15060, 607, 136656, 48608, 16665, 17544, 43796, 236761, 562, 16665, 5349, 65717, 44898, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 236761, 669, 21355, 236789, 236751, 8687, 532, 51753, 2072, 1800, 20193, 21366, 529, 506, 10225, 16665, 13653, 236761, 8739, 236787, 565, 236828, 236770, 236761, 236800, 236770, 236761, 107, 140, 236829, 139, 1018, 82727, 8739, 68327, 53121, 562, 6213, 607, 496, 4083, 529, 50528, 148095, 78364, 15060, 573, 496, 15668, 2426, 236772, 1048, 532, 563, 5633, 528, 108000, 236761, 669, 226070, 71330, 74940, 565, 236828, 236770, 236761, 236800, 236770, 236761, 669, 4338, 3393, 1093, 577, 1491, 236828, 236810, 236761, 236832, 236770, 568, 33076, 4083, 529, 50528, 148095, 78364, 236768, 532, 565, 236828, 236770, 236761, 236800, 236776, 568, 174361, 37717, 75179, 50528, 148095, 78364, 236764, 528, 108000, 769, 107, 236829, 139, 1018, 66207, 580, 168454, 29507, 53121, 107, 140, 236829, 139, 1018, 160597, 236772, 23809, 6308, 568, 7560, 236823, 1473, 1018, 565, 236828, 236770, 236761, 236800, 236770, 16071, 1208, 3530, 19588, 34122, 600, 6054, 506, 52464, 3136, 573, 86618, 3019, 236761, 107, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 531, 73981, 3072, 1308, 55502, 653, 573, 36297, 5933, 236761, 107, 140, 236829, 139, 1018, 139975, 14104, 156250, 53121, 3919, 97583, 653, 784, 12782, 525, 15384, 2145, 30316, 1149, 577, 4542, 573, 1151, 15591, 653, 97821, 5933, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 236796, 1169, 504, 230997, 568, 151800, 67387, 1473, 1018, 236743, 236778, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 59796, 59106, 53121, 236743, 236770, 236771, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 61351, 46111, 688, 53121, 236743, 236825, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236796, 552, 33725, 10223, 53121, 236743, 236800, 236832, 236810, 12124, 236786, 236757, 238131, 10935, 580, 2668, 236743, 236770, 532, 236743, 236770, 236810, 529, 1546, 8881, 236761, 107, 140, 236829, 139, 1018, 236797, 648, 551, 93148, 568, 15302, 1928, 236748, 1473, 1018, 1455, 7247, 236772, 14346, 236772, 236770, 23453, 236764, 1149, 577, 1456, 528, 1151, 15591, 653, 97821, 50528, 148095, 78364, 236761, 107, 144, 236829, 139, 818, 11459, 15323, 529, 52464, 236772, 653, 12606, 236772, 10619, 13049, 563, 506, 10598, 529, 506, 16106, 12454, 532, 6213, 236761, 40346, 55263, 40129, 110216, 532, 1061, 11362, 1386, 951, 15246, 8859, 52464, 573, 1027, 2509, 653, 4188, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 56094, 30500, 12730, 53121, 29584, 36685, 22388, 531, 3421, 3825, 3967, 532, 35677, 56080, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 4819, 236772, 182461, 236764, 1494, 236772, 56874, 9337, 236761, 107, 140, 236829, 139, 1018, 73106, 585, 2259, 12730, 53121, 122483, 653, 1894, 4402, 531, 3421, 13690, 532, 23556, 8991, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 154959, 531, 496, 46063, 653, 1894, 2299, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 3421, 28994, 532, 4883, 5663, 1292, 236761, 107, 144, 236829, 139, 1018, 4396, 742, 50228, 53121, 38215, 6607, 36443, 531, 506, 6213, 236789, 236751, 22234, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 27753, 27085, 179849, 53121, 2282, 5608, 573, 16665, 5349, 69316, 532, 1032, 11005, 529, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 142692, 14419, 53121, 21044, 653, 36176, 236786, 1692, 48158, 531, 7020, 573, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 1773, 56191, 10117, 236761, 107, 140, 236829, 139, 1018, 52544, 24575, 53121, 87134, 236764, 168464, 236764, 102577, 236764, 127245, 236764, 138284, 531, 7020, 573, 4269, 236772, 10619, 31094, 532, 49498, 236761, 107, 144, 236829, 139, 1018, 69897, 53121, 7685, 236743, 236800, 236772, 236825, 3794, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 36416, 17287, 563, 6816, 72911, 1082, 1032, 124937, 529, 5831, 236798, 236764, 607, 3718, 16671, 6224, 236761, 53163, 53561, 67123, 3204, 236787, 107, 140, 236829, 139, 1018, 33032, 529, 31203, 53121, 23703, 5552, 5933, 815, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 21035, 53121, 95801, 3911, 563, 5143, 607, 72911, 15187, 236761, 107, 140, 236829, 139, 1018, 90318, 18365, 53121, 22397, 236772, 30558, 4399, 1149, 735, 496, 13633, 67123, 236761, 107, 140, 236829, 139, 1018, 28061, 177769, 15594, 27242, 568, 37094, 1473, 1018, 562, 3715, 63577, 6317, 11387, 496, 13633, 67123, 236761, 107, 144, 236829, 139, 21035, 9862, 1082, 236743, 236812, 236810, 1518, 236761, 107, 144, 236829, 139, 33032, 236772, 3767, 5933, 236761, 107, 144, 236829, 139, 39908, 13435, 236761, 107, 144, 236829, 139, 236824, 5901, 5314, 1082, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 174361, 37717, 2344, 1082, 236743, 236825, 236771, 236771, 236786, 27689, 236761, 107, 144, 236829, 139, 90496, 5343, 2344, 1082, 236743, 236812, 236761, 236771, 549, 236786, 109370, 236761, 107, 144, 236829, 139, 87007, 48272, 2344, 1082, 236743, 236770, 236771, 236761, 236810, 549, 236786, 109370, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 74528, 236772, 23809, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 5239, 22517, 17617, 236772, 201684, 91360, 1236, 53121, 646, 192048, 236764, 60262, 236764, 5324, 3967, 236764, 30853, 585, 11616, 236764, 62495, 585, 14021, 2636, 236764, 30841, 118728, 236761, 107, 144, 236829, 139, 1018, 145500, 236772, 201684, 91360, 1236, 53121, 34068, 3731, 236764, 28994, 236764, 29229, 498, 11616, 236764, 225132, 236761, 107, 140, 236829, 139, 1018, 12059, 236772, 10960, 1301, 62546, 53121, 107, 144, 236829, 139, 1018, 65757, 6134, 796, 21893, 53121, 59067, 4652, 529, 8812, 1032, 50915, 236764, 1288, 618, 56182, 653, 17195, 7923, 236761, 107, 144, 236829, 139, 1018, 9789, 31591, 31203, 53121, 59067, 4652, 529, 3710, 5933, 236761, 107, 144, 236829, 139, 1018, 87383, 33523, 56287, 32852, 53121, 18800, 531, 10214, 59106, 236761, 107, 144, 236829, 139, 1018, 902, 43977, 1247, 53121, 18800, 531, 55502, 653, 10483, 236761, 107, 144, 236829, 139, 1018, 902, 17967, 53121, 59067, 44794, 531, 22512, 2779, 531, 15962, 37184, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 174287, 8230, 53121, 39525, 13611, 1938, 1003, 36416, 17287, 236764, 1061, 9454, 236764, 4269, 236764, 532, 67123, 236761, 107, 140, 236829, 139, 1018, 74528, 9620, 53121, 42085, 506, 4269, 2731, 528, 8052, 236764, 2440, 506, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 22373, 13324, 8813, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 9688, 3364, 2678, 4518, 529, 55502, 532, 10483, 236761, 107, 140, 236829, 139, 1018, 212482, 181595, 53121, 107, 144, 236829, 139, 1018, 173881, 53121, 4075, 9042, 969, 506, 8020, 529, 496, 20433, 9337, 532, 16111, 71552, 236761, 107, 144, 236829, 139, 1018, 56720, 53121, 128527, 4841, 5663, 4588, 531, 4883, 6332, 532, 2778, 4535, 236761, 107, 144, 236829, 139, 1018, 14151, 53121, 11101, 1117, 506, 6213, 531, 974, 16111, 1884, 532, 5571, 1024, 716, 907, 526, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 39276, 53121, 7753, 606, 506, 6213, 580, 1217, 531, 5001, 22512, 236764, 1288, 618, 17597, 1526, 20361, 532, 31983, 3662, 607, 14504, 1331, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 39525, 496, 9813, 1694, 529, 784, 28022, 236764, 2440, 147014, 236764, 7132, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 4674, 151002, 53121, 27468, 1500, 236772, 1048, 33306, 607, 506, 215679, 236764, 48386, 16097, 236764, 532, 1032, 30835, 618, 4354, 236761, 107, 144, 236829, 139, 1018, 46163, 214168, 53121, 12213, 10483, 106084, 768, 11955, 236761, 107, 144, 236829, 139, 1018, 17214, 10446, 53121, 50338, 1418, 236743, 236800, 236772, 236825, 3794, 573, 506, 1171, 236743, 236778, 1518, 236764, 1299, 24321, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 215679, 236764, 48386, 16097, 236764, 532, 506, 6634, 236761, 107, 140, 236829, 139, 1018, 139802, 532, 80773, 529, 4899, 112151, 53121, 7753, 606, 506, 6213, 580, 506, 11005, 532, 10684, 529, 49498, 236764, 1288, 618, 16665, 5349, 69316, 236764, 26699, 236764, 3446, 223979, 236764, 532, 3825, 3967, 236761, 107, 140, 236829, 139, 1018, 16400, 8381, 53121, 39525, 1938, 580, 1894, 4402, 532, 1032, 5405, 573, 4399, 607, 78364, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 5715, 236789, 236751, 496, 9813, 25890, 573, 3393, 565, 236828, 236770, 236761, 236800, 236770, 236787, 108, 236829, 139, 1018, 195317, 506, 58940, 119989, 236772, 236770, 236771, 236772, 10087, 8739, 568, 236780, 236828, 236770, 236761, 236800, 236770, 1473, 1018, 107, 140, 236829, 139, 1018, 30852, 529, 11669, 36126, 53121, 669, 226070, 1921, 8701, 13049, 529, 50528, 148095, 78364, 607, 3530, 4928, 529, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 52420, 10358, 53121, 669, 6213, 236789, 236751, 4083, 1374, 10128, 496, 10778, 15876, 529, 50528, 148095, 78364, 236764, 711, 1164, 30254, 236761, 107, 140, 236829, 139, 1018, 140712, 53121, 669, 13049, 1921, 20193, 600, 506, 50528, 148095, 78364, 563, 124764, 236772, 8630, 28974, 532, 13842, 506, 16665, 13653, 529, 506, 2228, 236764, 3392, 236764, 532, 10225, 236761, 107, 140, 236829, 139, 1018, 12703, 53121, 562, 51753, 2072, 49378, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 528, 496, 48608, 16665, 5349, 65717, 236761, 107, 236829, 139, 1018, 93496, 33197, 53121, 107, 140, 236829, 139, 1018, 19861, 10931, 236789, 236751, 24118, 53121, 48756, 8687, 22454, 506, 12644, 236764, 10684, 236764, 532, 21381, 1657, 236761, 107, 140, 236829, 139, 1018, 3360, 1865, 27708, 53121, 58178, 573, 49378, 506, 15876, 532, 115678, 529, 50528, 148095, 78364, 236761, 669, 51753, 2072, 1374, 25010, 1883, 623, 171479, 37717, 236772, 8630, 28974, 50528, 148095, 78364, 1781, 107, 140, 236829, 139, 1018, 142692, 27708, 53121, 21044, 236764, 47358, 236764, 653, 36176, 236786, 1692, 13952, 7248, 17674, 16665, 5349, 21366, 528, 506, 2228, 236764, 3392, 236764, 653, 10225, 236761, 107, 140, 236829, 139, 1018, 138771, 17647, 53121, 20909, 1594, 2536, 568, 90199, 236764, 168464, 236764, 4044, 2907, 11584, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 84930, 54442, 53121, 107, 140, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 39626, 616, 1374, 49105, 531, 1239, 15700, 236764, 6412, 1724, 4596, 531, 149967, 532, 215197, 236761, 107, 140, 236829, 139, 1018, 236776, 107577, 532, 46670, 55808, 18238, 53121, 3143, 9780, 2847, 20446, 9106, 532, 12496, 236761, 107, 140, 236829, 139, 1018, 1683, 17691, 236770, 7918, 53121, 669, 3393, 565, 236828, 236770, 236761, 236800, 236770, 815, 496, 1722, 236743, 236770, 79368, 5433, 607, 3577, 4083, 529, 50528, 148095, 78364, 568, 236953, 236828, 236810, 236761, 236832, 236770, 769, 107, 236829, 139, 1018, 19892, 82032, 77905, 53121, 107, 140, 236829, 139, 1018, 82727, 5375, 2084, 53121, 82032, 496, 1607, 115678, 529, 50528, 148095, 78364, 568, 236744, 236761, 236759, 1126, 16354, 1153, 84475, 236768, 1056, 506, 13049, 8207, 11387, 124764, 53285, 236761, 107, 140, 236829, 139, 1018, 41941, 25243, 2027, 53121, 206078, 531, 20193, 506, 3209, 2027, 568, 989, 236764, 1447, 236764, 40368, 236768, 768, 506, 13049, 12765, 625, 236761, 107, 140, 236829, 139, 1018, 84930, 80773, 13884, 529, 506, 85860, 53121, 82032, 1186, 506, 10684, 568, 236744, 236761, 236759, 1126, 16665, 17544, 43796, 236768, 2180, 20446, 506, 10778, 15876, 529, 50528, 148095, 78364, 236761, 107, 140, 236829, 139, 1018, 84930, 623, 16146, 529, 236775, 13884, 529, 23531, 31203, 53121, 13810, 3091, 496, 3068, 4083, 529, 50528, 148095, 78364, 607, 1873, 236764, 5158, 5933, 236761, 107, 236829, 139, 1018, 38408, 53121, 107, 140, 236829, 139, 1018, 34318, 8739, 68327, 53121, 562, 6213, 15060, 607, 136656, 48608, 16665, 17544, 43796, 236761, 562, 16665, 5349, 65717, 44898, 124764, 236772, 8630, 28974, 50528, 148095, 78364, 236761, 669, 21355, 236789, 236751, 8687, 532, 51753, 2072, 1800, 20193, 21366, 529, 506, 10225, 16665, 13653, 236761, 8739, 236787, 565, 236828, 236770, 236761, 236800, 236770, 236761, 107, 140, 236829, 139, 1018, 82727, 8739, 68327, 53121, 562, 6213, 607, 496, 4083, 529, 50528, 148095, 78364, 15060, 573, 496, 15668, 2426, 236772, 1048, 532, 563, 5633, 528, 108000, 236761, 669, 226070, 71330, 74940, 565, 236828, 236770, 236761, 236800, 236770, 236761, 669, 4338, 3393, 1093, 577, 1491, 236828, 236810, 236761, 236832, 236770, 568, 33076, 4083, 529, 50528, 148095, 78364, 236768, 532, 565, 236828, 236770, 236761, 236800, 236776, 568, 174361, 37717, 75179, 50528, 148095, 78364, 236764, 528, 108000, 769, 107, 236829, 139, 1018, 66207, 580, 168454, 29507, 53121, 107, 140, 236829, 139, 1018, 160597, 236772, 23809, 6308, 568, 7560, 236823, 1473, 1018, 565, 236828, 236770, 236761, 236800, 236770, 16071, 1208, 3530, 19588, 34122, 600, 6054, 506, 52464, 3136, 573, 86618, 3019, 236761, 107, 140, 236829, 139, 1018, 61684, 126532, 20402, 23223, 568, 220665, 1473, 1018, 142835, 20446, 529, 565, 236828, 236770, 236761, 236800, 236770, 740, 4100, 4652, 22488, 532, 52464, 528, 1550, 236772, 5140, 2065, 4681, 236761, 107, 140, 236829, 139, 1018, 51274, 175243, 53121, 669, 3393, 1921, 577, 8008, 684, 13049, 531, 11708, 506, 5526, 23811, 529, 506, 3019, 3847, 236761, 107, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 10162, 514, 2145, 39262, 529, 591, 73770, 13392, 529, 10222, 236775, 17230, 531, 496, 1722, 529, 5716, 7923, 600, 90851, 699, 506, 42611, 3874, 529, 506, 5716, 528, 506, 591, 73770, 13392, 529, 506, 10222, 236761, 1030, 563, 496, 115678, 529, 42611, 2145, 39262, 529, 506, 10222, 236764, 532, 563, 17202, 684, 506, 31811, 529, 28322, 236764, 109245, 3877, 529, 5716, 3874, 528, 506, 9034, 2433, 236761, 1030, 563, 11082, 5111, 236772, 49809, 532, 20390, 52249, 531, 1032, 4688, 529, 506, 2742, 236764, 840, 1149, 4400, 2263, 12290, 7112, 768, 2378, 61637, 236761, 93750, 15876, 532, 4269, 659, 2132, 531, 5001, 3342, 31094, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 15928, 583, 21405, 5415, 3671, 568, 236780, 4815, 236764, 1699, 5783, 23000, 618, 614, 64977, 236768, 691, 6984, 531, 16807, 506, 1156, 496, 64458, 21777, 529, 506, 91313, 530, 236935, 146316, 236761, 8945, 531, 506, 184075, 1204, 17358, 236764, 506, 13718, 28100, 529, 614, 10015, 563, 25118, 618, 7271, 768, 886, 529, 506, 2269, 6035, 563, 1645, 236787, 3477, 506, 65129, 31389, 13291, 568, 236780, 8537, 236768, 653, 63448, 236964, 73992, 13291, 568, 19193, 236777, 236768, 563, 1890, 464, 366, 375, 236771, 236761, 236819, 236810, 653, 506, 37081, 36673, 18338, 11489, 529, 150904, 568, 91303, 236776, 236768, 563, 655, 464, 366, 375, 236771, 236761, 236771, 236825, 653, 506, 13029, 1662, 37081, 36673, 18338, 119115, 568, 4870, 9512, 236768, 563, 655, 464, 366, 375, 236771, 236761, 236771, 236828, 870, 236770, 236800, 1619, 13810, 583, 21405, 5415, 3671, 10778, 506, 236746, 236772, 36721, 6886, 702, 35245, 1156, 236772, 19385, 3904, 529, 506, 91313, 530, 236935, 146316, 236761, 3227, 496, 1550, 529, 236743, 236771, 236761, 236771, 236810, 236828, 236764, 28155, 9512, 36360, 506, 184075, 1204, 13138, 532, 5478, 8008, 7271, 13718, 28100, 236761, 7067, 2307, 2979, 659, 9456, 528, 6274, 236778, 236761, 5010, 236743, 236778, 11947, 1788, 236772, 1340, 236772, 5791, 22697, 4597, 684, 506, 30745, 21405, 5415, 18025, 657, 29645, 568, 236749, 236784, 464, 366, 375, 236810, 236778, 236828, 236768, 11947, 1788, 236772, 1340, 236772, 5791, 3546, 11634, 236772, 19385, 3904, 2457, 13215, 1204, 13138, 236780, 8537, 163447, 4691, 3546, 236771, 236761, 236828, 236810, 236832, 240260, 464, 366, 375, 236771, 236761, 236819, 236810, 19193, 1768, 29225, 236964, 73992, 3546, 236771, 236761, 236828, 236800, 236832, 240260, 464, 366, 375, 236771, 236761, 236819, 236810, 91303, 1425, 2193, 2689, 6281, 3165, 529, 17570, 236771, 236761, 236771, 236828, 236825, 568, 236819, 236771, 236908, 29302, 236743, 236771, 236761, 236771, 236828, 236771, 236964, 236771, 236761, 236771, 236819, 236800, 33798, 464, 366, 375, 236771, 236761, 236771, 236825, 4870, 9512, 21108, 1662, 5989, 2689, 6281, 20752, 236771, 236761, 236771, 236810, 236828, 236820, 464, 366, 375, 236771, 236761, 236771, 236828, 9575, 229806, 8448, 236764, 2457, 13215, 1204, 2457, 3852, 13999, 236772, 5140, 31022, 573, 506, 6799, 529, 2404, 57558, 3247, 1714, 4003, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1489, 38643, 528, 96458, 563, 18793, 618, 496, 11434, 4588, 532, 740, 577, 3660, 531, 12778, 32362, 236761, 1030, 563, 1623, 2344, 3364, 1082, 528, 49244, 17254, 236761, 78350, 4143, 573, 107863, 4716, 1977, 11120, 528, 506, 3207, 236789, 236751, 13163, 532, 19571, 236764, 6151, 7363, 107863, 992, 4716, 1977, 236761, 669, 27820, 529, 107863, 528, 96458, 1578, 695, 506, 5428, 236789, 236751, 44419, 2027, 236761, 1773, 529, 236743, 236778, 236771, 236770, 236825, 236764, 118969, 26538, 14287, 993, 531, 577, 236743, 236770, 236800, 236764, 236812, 236771, 236771, 169859, 528, 506, 2891, 236761, 7660, 169859, 528, 96458, 659, 699, 6934, 13023, 2774, 557, 1037, 7965, 532, 506, 2891, 236789, 236751, 24358, 61011, 236761, 799, 2517, 531, 1239, 236764, 993, 659, 1551, 169859, 528, 96458, 699, 5818, 532, 22265, 236764, 1651, 1070, 2774, 557, 1037, 3607, 817, 531, 17254, 531, 981, 618, 6043, 7683, 236761, 96458, 815, 1010, 8385, 618, 496, 3738, 2891, 573, 3607, 532, 9565, 38907, 29969, 573, 6635, 11953, 43432, 528, 17254, 236761, 8732, 8256, 6043, 7683, 528, 96458, 659, 657, 1494, 4652, 529, 51444, 26622, 13482, 568, 169409, 236768, 532, 5933, 236761, 2195, 3187, 735, 5809, 2802, 531, 4269, 532, 3019, 2779, 531, 9226, 17511, 8859, 62175, 532, 877, 236772, 160910, 6043, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 181927, 496, 29663, 573, 506, 2269, 5526, 2934, 607, 1156, 2653, 12102, 568, 4443, 653, 951, 769, 3792, 236789, 236751, 1751, 2918, 684, 2918, 236761, 17605, 236787, 3946, 30356, 55502, 563, 3187, 1456, 528, 4399, 607, 16445, 9691, 16489, 7923, 236761, 3153, 236764, 14003, 1456, 9737, 532, 62623, 6137, 659, 6934, 65759, 529, 3072, 531, 672, 1722, 529, 11682, 236761, 669, 95187, 1183, 529, 506, 9837, 236836, 6762, 568, 236751, 5094, 236836, 236768, 563, 496, 87806, 81129, 6762, 529, 236743, 236832, 236825, 236772, 236828, 236771, 153653, 236761, 1030, 815, 3291, 15747, 3582, 600, 528, 1346, 3874, 503, 5094, 236836, 563, 496, 5013, 236772, 45527, 14455, 46927, 32032, 6762, 600, 563, 140613, 684, 3572, 141644, 45898, 236761, 13532, 236764, 503, 5094, 236836, 137294, 8047, 684, 1070, 11908, 10241, 1056, 1024, 105970, 236761, 669, 5708, 529, 506, 1861, 2748, 691, 531, 17318, 506, 503, 5094, 236836, 12483, 618, 65759, 529, 9737, 14421, 532, 3072, 531, 55502, 528, 16445, 9691, 16489, 7923, 236761, 669, 5619, 4535, 529, 503, 5094, 236836, 691, 6185, 684, 116327, 30897, 1680, 184665, 55502, 528, 236743, 236832, 236778, 4399, 607, 16445, 9691, 16489, 7923, 236761, 2343, 4399, 964, 9050, 607, 10747, 69884, 30505, 236786, 236753, 1169, 504, 230997, 236786, 236810, 236772, 44519, 236769, 115870, 236768, 532, 1070, 4399, 4461, 4767, 4269, 607, 6484, 536, 189274, 236761, 38113, 1262, 964, 5483, 607, 4399, 236789, 9737, 532, 62623, 4065, 236764, 9737, 14421, 236764, 532, 3072, 531, 55502, 236761, 669, 2536, 6418, 503, 5094, 236836, 5619, 1680, 184665, 55502, 691, 82184, 4596, 531, 506, 17491, 2425, 236764, 5619, 529, 66971, 532, 114598, 34191, 236761, 4819, 184665, 5619, 529, 503, 5094, 236836, 691, 5143, 607, 8047, 531, 136374, 11682, 236764, 840, 711, 607, 8047, 531, 6484, 536, 189274, 236761, 19566, 236787, 2375, 163278, 13627, 495, 568, 503, 5094, 236836, 1732, 110870, 5143, 607, 8047, 531, 184665, 770, 2993, 233650, 55502, 528, 5905, 16489, 7923, 236881, 8136, 933, 13627, 495, 568, 236751, 5094, 236836, 236768, 563, 496, 87806, 81129, 6762, 600, 815, 496, 3853, 528, 20290, 5013, 13630, 532, 815, 1010, 3505, 531, 25879, 8047, 1056, 1024, 105970, 236761, 799, 506, 2748, 10057, 580, 236743, 236832, 236778, 4399, 607, 16445, 9691, 16489, 7923, 236764, 1494, 184665, 503, 5094, 236836, 5619, 691, 5143, 607, 8047, 531, 184665, 55502, 236764, 6412, 136374, 568, 16410, 69884, 30505, 236764, 776, 97251, 230997, 236764, 532, 236743, 236810, 236772, 73597, 700, 144917, 236768, 11682, 236764, 840, 711, 607, 8047, 531, 6484, 536, 189274, 236761, 1174, 12205, 600, 503, 5094, 236836, 110870, 1149, 577, 496, 6684, 18126, 573, 44986, 8047, 531, 1070, 4458, 529, 184665, 770, 2993, 233650, 55502, 528, 5905, 16489, 7923, 236761, 107, 7925, 236787, 8438, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236810, 236800, 236828, 236800, 236800, 129947, 25252, 108, 52420, 7343, 236787, 870, 1192, 70485, 236842, 108, 51274, 19558, 9661, 236787, 870, 1192, 70485, 236842, 108, 3682, 529, 129947, 236787, 870, 1192, 70485, 236842, 108, 102397, 11417, 24435, 236787, 108, 236776, 236743, 236778, 236771, 236772, 11283, 236772, 947, 8256, 607, 496, 4414, 32139, 1594, 573, 54327, 236772, 54059, 236772, 236778, 691, 15210, 531, 506, 61471, 236772, 8057, 2940, 236858, 236751, 6634, 2779, 531, 33086, 26699, 532, 44513, 37305, 4331, 236764, 1442, 2555, 236764, 532, 62373, 236761, 669, 6213, 691, 9050, 108344, 607, 2534, 765, 604, 1124, 811, 532, 6100, 592, 140412, 573, 55902, 53368, 236761, 2154, 6634, 1719, 236743, 236832, 236764, 1304, 691, 16153, 531, 506, 2263, 61471, 236772, 8057, 2940, 236858, 236751, 6634, 2779, 531, 112797, 10684, 236761, 26831, 12644, 236764, 1304, 691, 1765, 531, 735, 496, 54578, 953, 21870, 236764, 58515, 1442, 2577, 236764, 532, 6218, 45203, 607, 102536, 5034, 59202, 12054, 236761, 3171, 129670, 171796, 6418, 4314, 236772, 7861, 2577, 30692, 529, 59202, 607, 2634, 236772, 30023, 4535, 532, 951, 2196, 187470, 87434, 2634, 236761, 24607, 12396, 236764, 153667, 9118, 236764, 532, 159662, 9118, 964, 9958, 607, 496, 15876, 529, 69756, 236772, 236780, 236761, 108, 818, 6213, 691, 9050, 607, 10935, 2996, 532, 95578, 506, 1719, 529, 4921, 236761, 669, 5597, 1308, 4921, 236764, 1304, 691, 8601, 531, 735, 112797, 37305, 1442, 2555, 532, 7245, 26699, 9785, 193740, 236761, 51909, 37305, 171796, 691, 4597, 532, 691, 1570, 9958, 607, 13252, 605, 236761, 562, 8577, 146210, 1021, 11945, 691, 7006, 236764, 24666, 525, 120622, 552, 56877, 236786, 236745, 1225, 982, 773, 546, 691, 3931, 236764, 532, 73993, 964, 27702, 573, 7245, 4269, 529, 69756, 236772, 236780, 236761, 669, 6213, 13646, 9737, 11531, 2269, 1239, 33592, 236761, 108, 2791, 6634, 1719, 236743, 236770, 236770, 236764, 506, 6213, 13646, 20719, 9737, 56973, 607, 3629, 3553, 528, 37305, 200700, 236764, 112797, 92829, 236764, 532, 3541, 236772, 9082, 533, 59202, 12054, 236761, 187191, 19781, 91053, 529, 506, 45203, 691, 4597, 532, 13646, 99837, 17366, 229947, 607, 89412, 10086, 529, 506, 56273, 236764, 810, 231906, 236764, 187470, 87434, 11756, 236764, 532, 2196, 187470, 87434, 2634, 236761, 3171, 129670, 73141, 964, 7006, 684, 939, 40958, 131230, 580, 6634, 2668, 236743, 236770, 236778, 236764, 236743, 236770, 236810, 236764, 532, 236743, 236778, 236771, 573, 30849, 529, 5065, 24055, 236772, 222441, 103569, 507, 236761, 2625, 47634, 2061, 1465, 580, 6634, 1719, 236743, 236770, 236828, 236761, 2625, 691, 9050, 607, 79757, 120622, 552, 56877, 236786, 236745, 1225, 982, 773, 546, 573, 496, 2558, 529, 236743, 236770, 236828, 2668, 532, 691, 21211, 130661, 531, 16348, 505, 215381, 532, 1645, 184615, 3324, 37305, 13345, 14291, 580, 506, 1719, 529, 16555, 236761, 236743, 108, 24355, 529, 11417, 1854, 236787, 108, 818, 6213, 691, 15210, 531, 506, 61471, 236772, 8057, 2940, 236858, 236751, 6634, 2779, 531, 33086, 26699, 532, 44513, 37305, 4331, 236761, 2625, 691, 1765, 531, 735, 69756, 236772, 236780, 532, 691, 9050, 607, 10935, 2996, 532, 95578, 236761, 4210, 24165, 112797, 10684, 236764, 1304, 54051, 15229, 3171, 129670, 171796, 532, 21381, 20502, 236764, 837, 9937, 99837, 17366, 229947, 532, 5065, 24055, 236772, 222441, 103569, 507, 236761, 669, 6213, 691, 9050, 607, 37305, 73141, 532, 79757, 42849, 236764, 47634, 2061, 1465, 236764, 532, 130661, 531, 16348, 42849, 236761, 2625, 7723, 1116, 3003, 529, 42849, 532, 691, 35260, 528, 10385, 4194, 236761, 9077, 1500, 236772, 1048, 607, 1116, 5905, 2065, 21355, 563, 10325, 236761, 2900, 16787, 529, 7157, 2172, 964, 21891, 528, 506, 16555, 12323, 4596, 531, 506, 15876, 532, 4269, 529, 99837, 17366, 229947, 532, 24055, 236772, 222441, 103569, 507, 236881, 669, 5705, 529, 7157, 2172, 600, 691, 21891, 528, 506, 16555, 12323, 4596, 531, 506, 15876, 532, 4269, 529, 99837, 17366, 229947, 532, 24055, 236772, 222441, 103569, 507, 691, 506, 1161, 529, 623, 222441, 73141, 2098, 837, 17230, 531, 73141, 7006, 684, 939, 40958, 131230, 531, 13345, 5065, 24055, 236772, 222441, 103569, 507, 236761, 17354, 2172, 47278, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 3689, 659, 506, 3756, 4083, 236764, 31094, 236764, 532, 67123, 529, 20719, 15961, 8800, 236881, 1301, 62546, 600, 740, 1668, 618, 496, 1354, 529, 20719, 15961, 8800, 659, 236787, 147, 107, 236780, 627, 31514, 88298, 2358, 111225, 43796, 2372, 205097, 43796, 160738, 8800, 160738, 8800, 1804, 525, 35668, 3072, 146035, 122545, 108543, 169415, 31094, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 818, 98842, 3721, 1977, 528, 236743, 236778, 236771, 236770, 236825, 532, 37780, 236743, 236800, 4820, 236787, 568, 236770, 236768, 496, 13822, 93961, 8216, 4921, 529, 2590, 236795, 236828, 236812, 236761, 236771, 236771, 236786, 11283, 573, 236743, 236810, 3794, 236764, 568, 236778, 236768, 496, 3622, 236772, 8960, 5296, 529, 496, 1908, 236772, 17625, 236772, 7633, 5689, 236764, 532, 568, 236800, 236768, 506, 13313, 529, 187480, 1813, 2196, 529, 5536, 236764, 1343, 11752, 11979, 236761, 669, 13822, 8216, 2886, 691, 2721, 580, 506, 2157, 529, 506, 38232, 136445, 73240, 5535, 684, 506, 10353, 532, 22682, 19922, 236858, 236751, 10353, 12096, 532, 37854, 13768, 15610, 236964, 25756, 14654, 236761, 669, 38232, 136445, 73240, 10725, 496, 7081, 1076, 529, 6079, 2780, 4852, 1288, 618, 170738, 236764, 25357, 4446, 236764, 532, 9792, 5395, 506, 236743, 236778, 236764, 236770, 236771, 236771, 9727, 14963, 2794, 236786, 8269, 236786, 1496, 6079, 2778, 13469, 573, 496, 13136, 529, 236743, 236825, 236964, 236832, 3295, 236764, 532, 1908, 236772, 17625, 4852, 1288, 618, 1813, 236764, 123078, 236764, 110886, 236764, 23198, 236764, 532, 58626, 43493, 5384, 236761, 26831, 15020, 236764, 496, 13136, 8256, 14441, 4461, 496, 6551, 5154, 28554, 3733, 607, 496, 4709, 1548, 1343, 837, 901, 4461, 506, 8216, 4921, 4323, 6551, 3273, 4921, 1603, 684, 506, 45987, 7517, 40818, 2544, 568, 236814, 741, 236756, 689, 83736, 83281, 769, 669, 98842, 20054, 3607, 618, 506, 13136, 8216, 41937, 580, 506, 15661, 600, 910, 11704, 691, 919, 4547, 531, 7458, 910, 2940, 870, 236778, 236770, 1619, 24531, 29181, 964, 3028, 580, 3353, 236743, 236800, 236771, 236764, 5142, 236743, 236778, 236810, 236764, 5505, 236743, 236778, 236810, 236764, 5729, 236743, 236778, 236810, 236764, 532, 5857, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236770, 236825, 236761, 669, 1908, 236772, 17625, 236772, 7633, 5689, 37780, 236743, 236770, 8901, 10988, 236764, 236743, 236778, 44034, 52383, 236764, 236743, 236770, 30195, 236764, 236743, 236770, 20537, 1756, 236764, 236743, 236770, 8351, 1076, 236764, 236743, 236770, 3029, 529, 23198, 236764, 236743, 236778, 145921, 178239, 38895, 236764, 532, 236743, 236770, 1076, 529, 67945, 37304, 236761, 669, 1908, 236772, 17625, 236772, 7633, 34332, 964, 10861, 528, 6027, 532, 7250, 236743, 236778, 236771, 236770, 236825, 236761, 799, 2517, 531, 6655, 506, 98842, 236764, 75786, 66724, 3847, 1894, 532, 5842, 531, 506, 2263, 45037, 532, 1919, 2404, 532, 18073, 24237, 236764, 1298, 202187, 2940, 532, 20670, 532, 29861, 1194, 3607, 528, 506, 2748, 2433, 1451, 2802, 4269, 236761, 799, 2517, 236764, 75786, 66724, 532, 1032, 1908, 236772, 75412, 22915, 8008, 3788, 529, 9806, 13122, 4115, 70873, 528, 1346, 529, 506, 5853, 236791, 28985, 5012, 528, 1800, 12162, 529, 506, 2748, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 742, 531, 2256, 25638, 236775, 17230, 531, 506, 5596, 529, 614, 3141, 531, 32961, 532, 9688, 910, 25638, 236764, 2440, 506, 8744, 532, 3136, 236764, 528, 1900, 531, 4883, 3867, 29842, 1292, 236761, 1174, 5596, 563, 4127, 573, 2005, 12123, 567, 532, 14291, 529, 6800, 26314, 699, 506, 2742, 236764, 532, 563, 12725, 684, 3572, 4688, 529, 506, 29842, 1458, 236764, 2440, 506, 7875, 37019, 532, 29842, 19064, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236770, 236812, 236800, 236771, 236800, 236812, 129947, 25252, 236787, 108, 52420, 8230, 236787, 108, 1567, 236787, 870, 1357, 7172, 220760, 236842, 107, 21035, 236787, 236743, 236812, 236800, 1518, 107, 41022, 236787, 36566, 107, 51274, 19558, 9661, 236787, 870, 1357, 7172, 220760, 236842, 107, 135434, 6809, 236787, 870, 1357, 7172, 220760, 236842, 107, 4830, 10690, 6809, 236787, 870, 1357, 7172, 220760, 236842, 108, 135434, 85860, 236787, 80292, 531, 76263, 31081, 108, 53776, 24435, 236787, 108, 236840, 1357, 7172, 220760, 236842, 691, 15210, 531, 506, 6634, 2269, 10885, 531, 80719, 236761, 9529, 914, 6634, 4196, 236764, 914, 76045, 236764, 18767, 8603, 8499, 236764, 2558, 8603, 11609, 6541, 568, 17578, 5901, 779, 532, 4921, 14854, 37003, 964, 2351, 506, 15572, 5577, 21280, 236764, 840, 914, 18767, 193897, 8499, 691, 23464, 568, 236770, 236825, 236810, 236771, 5458, 236759, 236786, 236798, 236793, 5577, 2644, 236743, 236778, 236810, 236772, 236800, 236771, 236771, 5458, 236759, 236786, 236798, 769, 562, 15961, 65717, 6418, 3867, 15961, 13217, 532, 951, 4914, 529, 8603, 66342, 236761, 669, 6213, 236789, 236751, 2523, 4083, 10117, 496, 3759, 90306, 529, 167915, 19659, 45202, 532, 496, 3577, 4083, 529, 40368, 99474, 5415, 5676, 46391, 21574, 914, 129495, 532, 40027, 837, 1053, 21891, 74205, 1308, 236743, 236825, 3794, 532, 529, 40368, 139672, 14291, 506, 3527, 1051, 236761, 562, 15876, 529, 668, 1289, 37420, 224737, 691, 1603, 2721, 580, 506, 3188, 2523, 4083, 532, 506, 6219, 529, 33086, 10835, 821, 1302, 495, 11226, 9785, 506, 12312, 529, 4914, 529, 8603, 66342, 236761, 108, 74528, 532, 4471, 27335, 236787, 108, 818, 6213, 54051, 7876, 3806, 647, 568, 236812, 236810, 236771, 55293, 236768, 13822, 573, 236743, 236825, 3794, 236764, 840, 625, 691, 12280, 1056, 506, 6213, 5452, 98421, 607, 496, 4719, 236755, 17886, 236764, 8603, 236772, 89606, 69384, 528, 506, 12312, 529, 1027, 1032, 3738, 529, 35475, 236761, 669, 6213, 691, 1299, 9050, 607, 8603, 36358, 3097, 668, 691, 8603, 199137, 236764, 840, 914, 18767, 193897, 14866, 12800, 23464, 5459, 236761, 108, 117839, 236787, 108, 236814, 17179, 27826, 21199, 573, 510, 15889, 236780, 236778, 236828, 236778, 236874, 236768, 532, 510, 15889, 236814, 236825, 236800, 236796, 236768, 6418, 600, 506, 6213, 691, 510, 15889, 236814, 236825, 236800, 236796, 236768, 131332, 236761, 669, 56045, 728, 495, 568, 219415, 236812, 236771, 236776, 236770, 236768, 20446, 532, 63652, 3432, 7501, 691, 6877, 236772, 2084, 236761, 562, 131332, 505, 4862, 236770, 236825, 236771, 236776, 236813, 236823, 27826, 691, 8385, 528, 506, 234991, 2351, 506, 236743, 236810, 188542, 97394, 529, 633, 19193, 236764, 528, 506, 6213, 532, 914, 5946, 236761, 21748, 31506, 2138, 3671, 15282, 600, 506, 35480, 35717, 795, 711, 1183, 506, 17286, 234991, 999, 43266, 10475, 236919, 3904, 236761, 3143, 2536, 10778, 496, 15876, 529, 65091, 6786, 236761, 107097, 10622, 6418, 600, 506, 45202, 529, 10835, 821, 1302, 495, 11226, 528, 672, 2523, 119501, 607, 506, 45202, 529, 40368, 235261, 236761, 108, 4830, 10690, 20402, 236787, 108, 818, 6213, 236789, 236751, 4194, 815, 1010, 10385, 5459, 914, 6634, 4196, 236761, 669, 6213, 815, 1010, 35260, 528, 1535, 4194, 607, 11808, 531, 1500, 872, 607, 914, 16106, 12454, 531, 7020, 914, 668, 1289, 37420, 224737, 532, 65091, 6786, 15876, 236761, 2900, 5378, 531, 506, 15876, 529, 65091, 6786, 528, 506, 6213, 236789, 236751, 16555, 12323, 236764, 532, 1144, 28740, 964, 8385, 1913, 14707, 21199, 236881, 65091, 6786, 691, 28262, 528, 506, 6213, 2721, 580, 506, 6219, 529, 33086, 10835, 821, 1302, 495, 11226, 9785, 506, 12312, 529, 4914, 529, 8603, 66342, 236764, 3008, 607, 496, 3188, 2523, 4083, 532, 496, 131332, 505, 4862, 236770, 236825, 236771, 236776, 236813, 236823, 27826, 528, 506, 234991, 2351, 506, 236743, 236810, 21517, 97394, 529, 633, 19193, 236761, 62921, 21199, 8385, 506, 6213, 618, 510, 15889, 236814, 236825, 236800, 236796, 236768, 131332, 236764, 607, 6877, 236772, 2084, 56045, 728, 495, 568, 219415, 236812, 236771, 236776, 236770, 236768, 20446, 532, 63652, 3432, 7501, 236761, 6841, 236764, 506, 8385, 28740, 528, 506, 6213, 236789, 236751, 14707, 21199, 964, 496, 131332, 505, 4862, 236770, 236825, 236771, 236776, 236813, 236823, 27826, 528, 506, 234991, 2351, 506, 236743, 236810, 21517, 97394, 529, 633, 19193, 532, 510, 15889, 236814, 236825, 236800, 236796, 236768, 131332, 236761, 19566, 1455, 35259, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1505, 7171, 524, 607, 496, 11262, 236786, 1904, 5526, 26410, 236764, 822, 12092, 563, 531, 36181, 506, 2934, 236789, 236751, 6590, 532, 5518, 496, 1388, 236772, 30809, 3890, 236761, 27441, 684, 6655, 496, 8652, 21385, 529, 506, 2934, 236789, 236751, 4403, 236761, 4298, 236764, 108119, 506, 28507, 4977, 822, 9949, 3072, 236764, 17096, 13868, 3671, 236761, 13472, 236764, 29910, 496, 3582, 29663, 529, 3477, 11262, 653, 951, 236764, 28642, 684, 822, 15569, 236761, 61018, 1891, 822, 4893, 657, 506, 1345, 684, 5712, 25685, 236787, 11262, 236786, 1904, 236761, 17605, 236787, 10867, 50493, 10684, 568, 20287, 18056, 532, 195801, 5135, 236768, 659, 3364, 528, 4399, 607, 10828, 158538, 112595, 1015, 776, 711, 735, 40809, 507, 119581, 77660, 5933, 568, 17948, 236796, 769, 669, 5708, 529, 672, 2748, 691, 531, 5608, 506, 4191, 529, 77660, 10684, 607, 6745, 50302, 528, 4399, 607, 10828, 158538, 112595, 2180, 62700, 236796, 532, 528, 1724, 607, 62700, 236796, 236761, 1174, 1868, 236772, 94222, 3671, 529, 1262, 699, 506, 28673, 2748, 568, 236797, 1692, 236771, 236771, 236778, 236819, 236770, 236832, 236812, 236825, 236768, 5012, 4399, 607, 17597, 7593, 40809, 46080, 10684, 236764, 529, 8761, 236743, 236770, 236800, 236832, 1053, 10828, 158538, 112595, 532, 236743, 236770, 236819, 236800, 1053, 62700, 236796, 568, 63764, 4427, 684, 219336, 532, 21708, 11734, 769, 40887, 7723, 46810, 100884, 532, 964, 40837, 684, 30869, 236761, 9529, 506, 6819, 22998, 1680, 2748, 7234, 236764, 236743, 236812, 236825, 236761, 236771, 236908, 529, 4399, 607, 10828, 158538, 112595, 532, 236743, 236825, 236812, 236761, 236828, 236908, 529, 1724, 607, 62700, 236796, 4785, 6745, 50302, 568, 1309, 7132, 236768, 4596, 531, 77660, 10684, 236761, 156501, 568, 74860, 236786, 27881, 3446, 236768, 6745, 50302, 964, 9763, 684, 236743, 236770, 236778, 236761, 236812, 236908, 529, 4399, 607, 10828, 158538, 112595, 532, 236743, 236778, 236812, 236761, 236819, 236908, 529, 1724, 607, 62700, 236796, 568, 236758, 464, 366, 375, 236784, 464, 366, 375, 236771, 236761, 236771, 236771, 236810, 769, 18018, 4399, 607, 10828, 158538, 112595, 236764, 506, 36765, 529, 6745, 50302, 691, 7310, 528, 1724, 5769, 188539, 532, 236786, 504, 195801, 5135, 964, 21037, 531, 12778, 568, 21314, 18790, 236786, 1158, 18790, 236768, 532, 17597, 568, 236812, 236772, 236832, 7728, 236743, 236770, 236772, 236800, 2668, 236786, 14808, 769, 19566, 236787, 2375, 6745, 40299, 2779, 531, 188539, 532, 195801, 5135, 3364, 528, 4399, 607, 10828, 158538, 112595, 236881, 32104, 40299, 2779, 531, 77660, 10684, 236764, 1288, 618, 188539, 532, 195801, 5135, 236764, 563, 3364, 528, 4399, 607, 10828, 158538, 112595, 236761, 669, 2748, 1765, 600, 236743, 236812, 236825, 236761, 236771, 236908, 529, 4399, 607, 10828, 158538, 112595, 4785, 6745, 50302, 4596, 531, 77660, 10684, 236761, 13532, 236764, 506, 36765, 529, 6745, 50302, 691, 7310, 528, 4399, 607, 21037, 531, 12778, 532, 17597, 188539, 532, 236786, 504, 195801, 5135, 236764, 22169, 496, 3188, 14824, 1534, 77660, 46810, 33326, 532, 7132, 532, 6745, 50302, 528, 672, 5499, 236761, 107, 7925, 236787, 8438, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236776, 7539, 7644, 236743, 236800, 236770, 236772, 3704, 236772, 947, 3875, 3952, 531, 506, 11996, 7920, 1547, 529, 11059, 236764, 12778, 216156, 752, 1021, 4331, 532, 60262, 573, 506, 3068, 236743, 236812, 3885, 236761, 2625, 7248, 600, 506, 4331, 185645, 531, 506, 1063, 532, 6074, 1056, 1304, 691, 2963, 12441, 532, 19060, 657, 496, 2263, 29548, 9430, 236761, 5165, 4022, 563, 236743, 236800, 236832, 236761, 236819, 237366, 236780, 568, 236770, 236771, 236771, 236761, 236778, 237366, 236811, 779, 18479, 563, 236743, 236819, 236828, 236786, 1387, 236764, 17493, 847, 659, 236743, 236770, 236819, 236786, 1387, 236764, 532, 4806, 4204, 563, 236743, 236770, 236770, 236771, 236786, 236825, 236771, 6929, 52555, 236761, 3171, 129670, 12644, 3831, 216156, 752, 1021, 92829, 532, 112882, 840, 951, 65810, 236761, 13664, 535, 12054, 659, 16466, 236761, 24607, 5254, 1407, 236787, 107, 215505, 190274, 236743, 236812, 236800, 236908, 107, 3258, 1490, 37717, 1527, 236743, 236819, 236771, 236771, 236771, 236786, 3951, 236800, 107, 234453, 107, 7199, 236862, 236743, 236770, 236812, 236771, 520, 28073, 236786, 236798, 107, 236855, 236862, 236743, 236812, 236761, 236810, 520, 28073, 236786, 236798, 107, 17832, 236778, 236862, 236743, 236819, 236761, 236771, 12124, 236786, 109370, 107, 75103, 781, 236743, 236770, 236832, 236771, 749, 236786, 236798, 568, 236797, 578, 655, 236743, 236810, 236771, 749, 236786, 236798, 236768, 107, 6700, 1542, 781, 236743, 236770, 236810, 236778, 749, 236786, 236798, 107, 84002, 688, 41034, 193180, 568, 49531, 236764, 72375, 236768, 236743, 236770, 236812, 236771, 749, 236786, 236798, 107, 3898, 228378, 11756, 216217, 563, 22711, 236761, 15311, 529, 506, 2269, 563, 506, 1346, 6780, 2148, 2918, 528, 3997, 7462, 236881, 12488, 7593, 69388, 37305, 45988, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 902, 2558, 236764, 236743, 236778, 236800, 236764, 236778, 236810, 236770, 1331, 4882, 528, 236743, 236810, 236825, 236828, 236828, 29474, 964, 12314, 657, 506, 2748, 29645, 236761, 104399, 15430, 3136, 691, 1494, 236793, 655, 464, 366, 375, 236771, 236761, 236810, 236908, 529, 13136, 15005, 19153, 15430, 236764, 532, 236743, 236810, 236761, 236812, 236908, 529, 29474, 964, 7738, 653, 711, 21907, 657, 506, 990, 529, 506, 9375, 236761, 126702, 9507, 964, 3361, 1534, 506, 1156, 12162, 568, 5010, 236770, 769, 2085, 691, 951, 3629, 4954, 528, 506, 877, 236772, 115625, 7384, 68881, 28041, 568, 236758, 236784, 464, 366, 375, 236771, 236761, 236770, 236819, 779, 840, 506, 32139, 236772, 45966, 60183, 36765, 691, 8792, 3718, 528, 506, 21144, 3774, 1082, 528, 506, 2256, 3774, 657, 29645, 568, 1579, 464, 366, 375, 236784, 464, 366, 375, 236771, 236761, 236800, 236770, 236764, 29302, 236819, 236810, 236908, 236743, 236771, 236761, 236770, 236810, 236964, 236771, 236761, 236825, 236770, 236764, 236758, 236784, 464, 366, 375, 236771, 236761, 236771, 236771, 236770, 769, 5010, 236743, 236770, 112677, 9507, 528, 21144, 532, 2256, 1304, 2202, 527, 236764, 3353, 236743, 236778, 236771, 236770, 236825, 236761, 49477, 528, 41706, 2754, 506, 2644, 1534, 1304, 2202, 527, 3845, 6378, 5144, 52003, 9507, 3682, 529, 9375, 236800, 236771, 5365, 236964, 236832, 3353, 236764, 236743, 236778, 236771, 236770, 236825, 236819, 3353, 236964, 236770, 236832, 3353, 236764, 236743, 236778, 236771, 236770, 236825, 4452, 529, 29474, 12314, 236778, 236825, 236828, 236778, 568, 236778, 236770, 236819, 236964, 236812, 236810, 236800, 236768, 236800, 236771, 236771, 236825, 568, 236778, 236771, 236828, 236964, 236825, 236812, 236812, 236768, 210452, 15430, 3136, 236770, 236769, 11376, 236819, 236825, 236761, 236770, 568, 236819, 236770, 236761, 236812, 236964, 236819, 236819, 236761, 236810, 236768, 236819, 236778, 236761, 236828, 568, 236828, 236832, 236761, 236819, 236964, 236819, 236810, 236761, 236812, 236768, 4452, 1331, 12314, 568, 712, 29474, 236768, 236770, 236771, 236764, 236819, 236812, 236812, 568, 236819, 236778, 236825, 236964, 236770, 236828, 236778, 236770, 236768, 236770, 236778, 236764, 236800, 236771, 236832, 568, 236819, 236800, 236810, 236964, 236778, 236810, 236812, 236778, 236768, 4452, 1331, 528, 186657, 29474, 568, 236797, 236793, 2144, 236778, 236768, 236770, 236771, 236764, 236825, 236828, 236800, 236793, 236743, 236819, 236832, 236761, 236825, 236908, 236770, 236770, 236764, 236828, 236770, 236800, 236793, 236743, 236819, 236825, 236761, 236771, 236908, 1489, 33768, 1861, 657, 990, 529, 9375, 236800, 236769, 11376, 236832, 236832, 236761, 236778, 568, 236825, 236812, 236761, 236819, 236964, 236828, 236812, 236761, 236825, 236768, 236832, 236812, 236761, 236825, 236908, 568, 236825, 236770, 236761, 236828, 236964, 236828, 236778, 236761, 236828, 236768, 210452, 9507, 28203, 1722, 94426, 57691, 21573, 11463, 3904, 236768, 236832, 236761, 236771, 568, 236778, 236761, 236819, 236964, 236770, 236770, 236761, 236800, 236768, 236812, 236761, 236770, 568, 236771, 236761, 236771, 236964, 236770, 236770, 236761, 236825, 236768, 88130, 236772, 104161, 57691, 14791, 532, 33227, 236786, 50888, 236786, 140678, 236768, 236778, 236812, 236761, 236800, 568, 236770, 236778, 236761, 236771, 236964, 236810, 236771, 236761, 236832, 236768, 236778, 236825, 236761, 236771, 568, 236770, 236770, 236761, 236812, 236964, 236812, 236771, 236761, 236778, 236768, 135243, 57691, 17572, 236786, 11937, 236768, 236825, 236828, 236761, 236832, 568, 236812, 236800, 236761, 236812, 236964, 236828, 236812, 236761, 236770, 236768, 236825, 236819, 236761, 236819, 568, 236812, 236828, 236761, 236778, 236964, 236828, 236828, 236761, 236825, 236768, 28203, 58411, 528, 33417, 531, 27365, 3432, 236812, 236769, 11376, 236825, 236761, 236828, 568, 236770, 236761, 236832, 236964, 236770, 236800, 236761, 236825, 236768, 236810, 236761, 236828, 568, 236771, 236761, 236812, 236964, 236770, 236828, 236761, 236812, 236768, 18807, 529, 29474, 22566, 1003, 60183, 236810, 236769, 11376, 236810, 236812, 236761, 236771, 568, 236812, 236812, 236761, 236810, 236964, 236825, 236771, 236761, 236800, 236768, 236810, 236819, 236761, 236778, 568, 236812, 236819, 236761, 236828, 236964, 236825, 236819, 236761, 236812, 236768, 140212, 9507, 122397, 3911, 870, 2266, 97772, 755, 2644, 236842, 236770, 236819, 870, 236828, 236964, 236800, 236810, 236842, 236770, 236819, 870, 236828, 236964, 236800, 236810, 236842, 135243, 10704, 529, 13136, 93614, 236819, 236828, 236761, 236770, 568, 236819, 236825, 236761, 236828, 236964, 236819, 236828, 236761, 236832, 236768, 236819, 236828, 236761, 236800, 568, 236819, 236832, 236761, 236825, 236964, 236819, 236819, 236761, 236832, 236768, 28093, 8256, 93614, 236810, 236770, 236761, 236810, 568, 236812, 236819, 236761, 236810, 236964, 236810, 236812, 236761, 236778, 236768, 236810, 236770, 236761, 236832, 568, 236812, 236819, 236761, 236828, 236964, 236810, 236810, 236761, 236800, 236768, 7765, 30462, 236825, 236811, 36778, 93614, 236800, 236832, 236761, 236832, 568, 236770, 236771, 236761, 236832, 236964, 236810, 236812, 236761, 236810, 236768, 236812, 236778, 236761, 236770, 568, 236770, 236810, 236761, 236812, 236964, 236825, 236771, 236761, 236825, 236768, 102822, 93614, 236770, 236778, 236761, 236800, 568, 236771, 236761, 236810, 236964, 236800, 236800, 236761, 236778, 236768, 236770, 236778, 236761, 236832, 568, 236771, 236761, 236812, 236964, 236800, 236771, 236761, 236828, 236768, 13517, 93614, 236778, 236832, 236761, 236832, 568, 236778, 236771, 236761, 236778, 236964, 236800, 236825, 236761, 236832, 236768, 236778, 236810, 236761, 236810, 568, 236770, 236770, 236761, 236825, 236964, 236812, 236812, 236761, 236771, 236768, 2805, 76141, 93614, 236778, 236812, 236761, 236812, 568, 236770, 236825, 236761, 236825, 236964, 236800, 236771, 236761, 236771, 236768, 236778, 236778, 236761, 236819, 568, 236770, 236810, 236761, 236771, 236964, 236800, 236771, 236761, 236778, 236768, 4330, 9467, 4301, 2351, 167857, 528, 1774, 2297, 93614, 236800, 236761, 236812, 568, 236778, 236761, 236770, 236964, 236810, 236761, 236771, 236768, 236778, 236761, 236819, 568, 236770, 236761, 236770, 236964, 236812, 236761, 236800, 236768, 4330, 9467, 4301, 4782, 167857, 528, 1774, 2297, 93614, 236771, 236761, 236810, 568, 236771, 236761, 236771, 236964, 236770, 236761, 236771, 236768, 236771, 236761, 236825, 568, 236771, 236761, 236770, 236964, 236770, 236761, 236778, 236768, 4330, 9467, 4301, 4782, 167857, 528, 1774, 236743, 236825, 432, 398, 80227, 93614, 236770, 236761, 236812, 568, 236771, 236761, 236812, 236964, 236778, 236761, 236828, 236768, 236770, 236761, 236810, 568, 236771, 236761, 236825, 236964, 236778, 236761, 236800, 236768, 10860, 2256, 12606, 28203, 58411, 81479, 528, 506, 1774, 236743, 236770, 236778, 432, 398, 80227, 93614, 236828, 236812, 236761, 236832, 568, 236825, 236812, 236761, 236800, 236964, 236819, 236812, 236761, 236778, 236768, 236828, 236810, 236761, 236770, 568, 236832, 236832, 236761, 236800, 236964, 236819, 236800, 236761, 236828, 236768, 28203, 58411, 607, 657, 3198, 886, 44034, 2657, 93614, 236828, 236810, 236761, 236825, 568, 236832, 236778, 236761, 236825, 236964, 236819, 236832, 236761, 236812, 236768, 236828, 236778, 236761, 236800, 568, 236832, 236778, 236761, 236771, 236964, 236819, 236800, 236761, 236812, 236768, 28203, 58411, 607, 657, 3198, 886, 44034, 2657, 810, 20537, 2557, 93614, 236825, 236832, 236761, 236771, 568, 236812, 236810, 236761, 236810, 236964, 236828, 236770, 236761, 236825, 236768, 236825, 236778, 236761, 236825, 568, 236810, 236812, 236761, 236771, 236964, 236832, 236810, 236761, 236800, 236768, 18370, 607, 2802, 531, 496, 4086, 2657, 236832, 236769, 11376, 236832, 236812, 236761, 236810, 568, 236810, 236825, 236761, 236825, 236964, 236819, 236771, 236761, 236825, 236768, 236832, 236770, 236761, 236770, 568, 236810, 236819, 236761, 236770, 236964, 236828, 236771, 236761, 236825, 236768, 18370, 1015, 57120, 1208, 496, 44034, 2657, 1774, 3446, 93614, 236832, 236812, 236761, 236825, 568, 236810, 236800, 236761, 236819, 236964, 236819, 236778, 236761, 236771, 236768, 236832, 236771, 236761, 236778, 568, 236810, 236810, 236761, 236828, 236964, 236832, 236819, 236761, 236825, 236768, 21478, 1208, 3493, 1015, 57120, 1208, 496, 44034, 2657, 1774, 3446, 93614, 236832, 236819, 236761, 236825, 568, 236825, 236770, 236761, 236810, 236964, 236819, 236825, 236761, 236825, 236768, 236832, 236828, 236761, 236828, 568, 236825, 236778, 236761, 236832, 236964, 236828, 236832, 236761, 236812, 236768, 22021, 7297, 12268, 25268, 68051, 68881, 3546, 528, 236743, 236778, 236771, 236770, 236810, 568, 16353, 236786, 236770, 236771, 236771, 236771, 1331, 236768, 236770, 236812, 236761, 236812, 568, 236770, 236770, 236761, 236770, 236964, 236778, 236778, 236761, 236812, 236768, 236770, 236778, 236761, 236832, 568, 236828, 236761, 236800, 236964, 236800, 236778, 236761, 236828, 236768, 22021, 7297, 36765, 657, 29645, 93614, 236771, 236761, 236828, 568, 236771, 236761, 236771, 236964, 236770, 236761, 236825, 236768, 236778, 236761, 236810, 568, 236771, 236761, 236832, 236964, 236812, 236761, 236810, 236768, 236770, 28203, 58411, 120076, 236786, 6367, 58411, 12314, 236778, 18370, 528, 186657, 29474, 236786, 21991, 12314, 236800, 18370, 1861, 236786, 21991, 12314, 528, 186657, 29474, 236812, 43794, 236743, 236810, 236771, 432, 398, 236757, 529, 1813, 14510, 236810, 1489, 33768, 529, 2228, 529, 29474, 600, 659, 22566, 600, 901, 653, 496, 2523, 4374, 795, 974, 60183, 236825, 137599, 1186, 9941, 573, 7010, 1024, 506, 3911, 529, 236743, 236770, 236828, 236793, 1032, 78123, 659, 78123, 9456, 528, 655, 464, 366, 375, 236810, 236908, 529, 506, 5499, 236832, 2094, 21986, 14287, 506, 13789, 529, 506, 5499, 600, 1451, 14846, 577, 7438, 684, 6330, 9053, 51640, 236764, 20414, 600, 1546, 9053, 236797, 528, 496, 13136, 740, 577, 1456, 684, 1156, 1331, 2351, 600, 13136, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 582, 1294, 64392, 17673, 236743, 236800, 236810, 11674, 858, 236772, 236766, 61880, 568, 236758, 6570, 573, 12360, 16291, 17230, 531, 496, 22137, 1698, 600, 6097, 506, 5158, 31831, 14434, 236772, 229374, 64392, 236761, 1030, 563, 26032, 618, 614, 79757, 61880, 236764, 532, 563, 1456, 531, 2980, 2953, 5526, 3439, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 77692, 528, 19842, 236775, 17230, 531, 506, 117619, 8137, 528, 19842, 236761, 1030, 563, 614, 6829, 18662, 529, 506, 15454, 117619, 143032, 236764, 837, 563, 21282, 684, 506, 70355, 529, 19842, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236776, 30708, 62867, 72652, 2028, 691, 5535, 607, 33086, 2256, 618, 506, 6829, 6471, 532, 506, 14023, 7016, 964, 9737, 532, 46144, 7016, 236764, 837, 964, 711, 4596, 531, 506, 8514, 529, 2256, 236761, 669, 20843, 2028, 6418, 600, 22178, 11682, 568, 1579, 236764, 236743, 236771, 236761, 236800, 236771, 236778, 236825, 236793, 236743, 236819, 236810, 236908, 29302, 236764, 236743, 236771, 236761, 236770, 236832, 236832, 236825, 236964, 236771, 236761, 236810, 236770, 236810, 236832, 236800, 236793, 510, 464, 366, 375, 236820, 464, 366, 375, 236771, 236761, 236771, 236771, 236770, 236768, 532, 41627, 568, 1579, 236764, 236743, 236771, 236761, 236819, 236800, 236819, 236819, 236793, 236743, 236819, 236810, 236908, 29302, 236743, 236771, 236761, 236819, 236771, 236800, 236778, 236964, 236771, 236761, 236819, 236832, 236828, 236770, 236793, 510, 464, 366, 375, 236820, 464, 366, 375, 236771, 236761, 236771, 236771, 236770, 236768, 964, 22014, 532, 8792, 5143, 607, 150532, 12725, 4981, 236761, 669, 107488, 691, 236743, 236771, 236761, 236832, 236771, 236778, 236819, 568, 236819, 236810, 236908, 29302, 236764, 236743, 236771, 236761, 236825, 236812, 236778, 236771, 236819, 236964, 236771, 236761, 236832, 236825, 236800, 236825, 236832, 769, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236770, 236812, 236810, 236825, 236819, 236819, 33141, 8230, 236787, 107, 21035, 236787, 236743, 236819, 236770, 107, 41022, 236787, 36566, 107, 51274, 10358, 236787, 565, 2600, 1908, 236772, 126986, 148095, 78364, 236764, 32308, 113528, 4657, 236764, 26992, 112917, 43796, 236764, 24782, 46919, 888, 693, 514, 60892, 98930, 108, 135434, 20303, 236787, 107, 47875, 573, 22831, 236787, 100407, 144596, 529, 614, 229177, 54856, 657, 506, 3718, 11645, 1208, 2870, 79739, 236761, 107, 2267, 108044, 4461, 236787, 19987, 79739, 1186, 1343, 496, 40368, 9069, 19821, 3355, 1699, 20512, 136689, 236743, 236778, 236908, 607, 89724, 236743, 236770, 236787, 236770, 236771, 236771, 236761, 236771, 236771, 236771, 236761, 108, 53776, 24435, 236787, 107, 818, 6213, 54051, 614, 3037, 1260, 1275, 26764, 8897, 9113, 528, 4133, 14291, 529, 496, 42611, 2145, 39262, 236761, 669, 6213, 691, 35260, 580, 506, 1638, 1719, 618, 506, 8897, 236761, 108, 27447, 236772, 1048, 236787, 107, 818, 6213, 1374, 577, 23034, 531, 10368, 1500, 236772, 1048, 33306, 607, 914, 5905, 2065, 21355, 532, 234691, 531, 7020, 914, 171642, 5526, 3439, 532, 5330, 600, 668, 563, 21123, 38787, 699, 506, 8897, 236761, 108, 30654, 236787, 107, 5466, 2669, 91855, 236787, 236743, 12218, 120068, 107, 3682, 529, 129947, 236787, 236743, 12218, 120068, 2088, 1093, 611, 161730, 506, 5526, 127481, 528, 506, 16555, 12323, 529, 496, 236743, 236819, 236770, 236772, 3704, 236772, 947, 8937, 1015, 54051, 26764, 144596, 529, 614, 229177, 54856, 657, 506, 3718, 11645, 236764, 4461, 496, 10969, 79739, 236764, 532, 1053, 171642, 5526, 3439, 529, 52150, 1908, 236772, 126986, 148095, 78364, 236764, 32308, 113528, 4657, 236764, 26992, 112917, 43796, 236764, 532, 24782, 46919, 888, 693, 514, 60892, 98930, 236881, 18186, 580, 506, 16555, 12323, 236764, 506, 236743, 236819, 236770, 236772, 3704, 236772, 947, 8937, 6213, 54051, 26764, 144596, 1208, 10969, 79739, 573, 614, 229177, 54856, 657, 506, 3718, 11645, 236761, 669, 8897, 691, 6595, 236764, 532, 506, 6213, 691, 35260, 580, 506, 1638, 1719, 236761, 669, 6213, 236789, 236751, 5526, 4083, 5132, 52150, 1908, 236772, 126986, 148095, 78364, 236764, 32308, 113528, 4657, 236764, 26992, 112917, 43796, 236764, 532, 24782, 46919, 888, 693, 514, 60892, 98930, 236764, 837, 1374, 577, 34446, 684, 914, 5905, 2065, 21355, 532, 234691, 528, 1500, 236772, 1048, 33306, 236761, 3221, 45792, 3444, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 2320, 174584, 129070, 5167, 529, 38027, 529, 131852, 236775, 17230, 531, 496, 21381, 20502, 8897, 600, 6178, 45988, 531, 17318, 506, 4806, 2727, 528, 506, 38027, 529, 506, 131852, 236761, 1174, 8897, 6178, 496, 81324, 1898, 4744, 531, 4113, 506, 4249, 532, 5281, 529, 506, 4806, 2727, 236764, 6655, 2132, 1938, 1003, 4806, 2727, 532, 2653, 60585, 528, 506, 38027, 236761, 1030, 563, 496, 1908, 236772, 83176, 8897, 600, 563, 11082, 6984, 531, 1601, 58355, 3439, 21574, 506, 4806, 17735, 528, 506, 15350, 236764, 1288, 618, 136980, 986, 1356, 653, 43827, 146687, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236825, 236770, 236819, 236770, 236812, 129947, 25252, 236787, 108, 52420, 53836, 236787, 107, 818, 6213, 563, 496, 236743, 236810, 236800, 236772, 3704, 236772, 947, 8937, 1015, 691, 15210, 531, 1023, 6634, 573, 496, 3413, 528, 914, 52919, 11850, 657, 506, 908, 159151, 3432, 236761, 108, 53776, 24435, 236787, 107, 818, 6213, 54051, 127374, 529, 506, 52919, 11850, 236764, 837, 5012, 506, 11850, 7923, 657, 506, 579, 5537, 3432, 236764, 532, 496, 32638, 908, 159151, 691, 6984, 236761, 669, 2441, 149160, 12396, 6418, 600, 506, 17491, 691, 16635, 529, 51641, 57726, 131037, 532, 30853, 77241, 131037, 236764, 837, 78752, 506, 18191, 5716, 136748, 236764, 6807, 8564, 536, 1433, 7028, 236761, 1293, 691, 28262, 607, 11850, 7923, 510, 236774, 236812, 236763, 568, 44049, 779, 510, 236797, 236771, 236764, 505, 236792, 236771, 236764, 5552, 564, 2011, 5933, 236764, 3894, 531, 506, 29210, 12301, 529, 506, 26493, 236792, 15241, 236761, 1293, 19153, 121033, 55502, 840, 54051, 1500, 236772, 1048, 44240, 573, 236743, 236810, 1518, 236761, 108, 98623, 1518, 3209, 236764, 914, 70188, 30488, 236743, 236770, 236819, 236772, 236819, 691, 8573, 23464, 236764, 532, 496, 3413, 691, 11788, 528, 914, 2378, 4385, 27179, 189255, 236761, 1293, 691, 28262, 607, 16665, 5349, 77730, 529, 506, 131037, 657, 506, 908, 159151, 3432, 236761, 1293, 54051, 496, 155823, 127374, 529, 506, 16665, 5349, 528, 506, 2378, 4385, 27179, 189255, 236764, 532, 506, 2441, 149160, 12396, 529, 506, 16665, 5349, 9937, 600, 506, 131037, 691, 4414, 573, 14455, 25406, 7532, 236743, 236832, 532, 120915, 236772, 2084, 2033, 77226, 236772, 236778, 532, 49216, 1154, 4414, 573, 14455, 25406, 7532, 236743, 236778, 236771, 236761, 1293, 815, 1010, 11985, 121033, 2146, 1871, 164261, 688, 2915, 7184, 3555, 163199, 532, 815, 1010, 49498, 236772, 6796, 573, 236743, 236810, 3794, 2338, 506, 16665, 5349, 127374, 236761, 108, 17667, 85860, 236787, 107, 9057, 4385, 27179, 16665, 5349, 77730, 529, 506, 131037, 657, 506, 908, 159151, 3432, 236761, 108, 117839, 236787, 107, 818, 6213, 4461, 155823, 127374, 532, 13323, 121033, 55502, 236761, 2301, 11005, 529, 49498, 964, 3472, 236743, 236810, 3794, 1308, 506, 16665, 5349, 127374, 236761, 108, 23790, 2636, 236787, 107, 9767, 81318, 657, 506, 908, 159151, 3432, 740, 30793, 527, 969, 531, 506, 4385, 27179, 16665, 13653, 1343, 46983, 37305, 117774, 27581, 236761, 40887, 1015, 26833, 15211, 127374, 529, 63411, 11850, 7923, 4385, 27179, 16665, 5349, 77730, 6641, 684, 121033, 55502, 659, 4275, 531, 6350, 1535, 15187, 236761, 5718, 74584, 4385, 27179, 653, 198794, 16665, 5349, 77730, 529, 11850, 7923, 740, 577, 18793, 618, 496, 2263, 5933, 236764, 532, 26764, 127374, 5072, 531, 577, 614, 5225, 4269, 236761, 2900, 563, 506, 10325, 4269, 2731, 573, 4399, 607, 4385, 27179, 653, 198794, 16665, 5349, 77730, 529, 11850, 7923, 236764, 532, 1217, 5225, 563, 26764, 127374, 618, 496, 4269, 5086, 3894, 531, 506, 16555, 12323, 236881, 8945, 531, 506, 16555, 12323, 236764, 26764, 127374, 6641, 684, 121033, 55502, 563, 614, 5225, 4269, 5086, 573, 4399, 607, 4385, 27179, 653, 198794, 16665, 5349, 77730, 529, 11850, 7923, 236761, 5718, 74584, 4385, 27179, 653, 198794, 16665, 5349, 77730, 529, 11850, 7923, 740, 577, 18793, 618, 496, 2263, 5933, 236764, 532, 4399, 1015, 26833, 15211, 127374, 740, 6350, 1535, 15187, 236761, 3153, 236764, 506, 16555, 12323, 1677, 711, 2847, 1938, 1003, 506, 10325, 4269, 2731, 1032, 1082, 26764, 127374, 532, 121033, 55502, 236761, 19566, 1455, 35259, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236776, 17503, 529, 12560, 699, 1546, 2299, 237028, 100978, 532, 57640, 237028, 6460, 38861, 580, 517, 99845, 532, 47358, 13952, 21199, 1680, 532, 1308, 45925, 1692, 568, 236832, 12560, 528, 1546, 2299, 236764, 573, 496, 2558, 529, 236743, 236770, 236812, 12560, 769, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 105279, 964, 52630, 1343, 106643, 12551, 657, 1237, 11326, 568, 236744, 236761, 236759, 1126, 5526, 16545, 236768, 532, 684, 50241, 528, 506, 2263, 16985, 236761, 88917, 236772, 811, 3399, 236772, 222164, 7644, 9862, 12795, 568, 236778, 236812, 1758, 236764, 236743, 236778, 236832, 3607, 236768, 1534, 506, 16606, 529, 236743, 236825, 236771, 532, 236743, 236832, 236778, 1518, 3847, 910, 5267, 13819, 13782, 531, 14309, 528, 672, 2748, 1308, 10037, 11091, 964, 9696, 236761, 669, 11383, 236858, 29645, 9507, 659, 6212, 528, 6274, 236770, 236761, 5450, 529, 506, 11383, 1053, 1027, 4083, 529, 28262, 64049, 568, 236744, 236761, 236759, 1126, 60484, 5933, 236768, 653, 130195, 568, 236744, 236761, 236759, 1126, 7600, 14268, 236768, 22364, 600, 2473, 735, 9034, 910, 5596, 531, 2121, 2033, 236772, 5140, 7002, 20958, 10057, 1913, 6376, 17524, 76151, 653, 531, 2121, 7713, 573, 506, 10834, 529, 7002, 532, 11103, 6332, 236761, 669, 11383, 964, 11844, 529, 9378, 22014, 2180, 1027, 235096, 4744, 532, 901, 1053, 951, 4487, 2707, 607, 506, 6055, 7713, 653, 20958, 236761, 60624, 964, 28760, 13720, 531, 614, 21144, 568, 7253, 236768, 653, 496, 30461, 2256, 2299, 568, 6359, 769, 6274, 236743, 236770, 3883, 236772, 15396, 9507, 529, 506, 2748, 11383, 568, 236797, 236784, 464, 366, 375, 236810, 236770, 236768, 67726, 7253, 568, 236749, 236784, 464, 366, 375, 236778, 236832, 236768, 6359, 568, 236749, 236784, 464, 366, 375, 236778, 236812, 236768, 236758, 236772, 2394, 21035, 568, 33658, 236768, 236825, 236810, 236761, 236770, 568, 236770, 236761, 236770, 236768, 236825, 236825, 236761, 236778, 568, 236800, 236761, 236800, 236768, 236771, 236761, 236778, 236812, 236800, 44978, 568, 236760, 236786, 236757, 236768, 236770, 236810, 236786, 236770, 236778, 236770, 236778, 236786, 236770, 236778, 9256, 3558, 568, 236757, 236768, 236770, 236761, 236825, 236819, 568, 236771, 236761, 236771, 236819, 236768, 236770, 236761, 236832, 236770, 568, 236771, 236761, 236771, 236819, 236768, 236771, 236761, 236825, 236771, 236771, 9256, 3413, 568, 7022, 236768, 236832, 236800, 236761, 236800, 568, 236770, 236800, 236761, 236771, 236768, 236832, 236825, 236761, 236800, 568, 236770, 236770, 236761, 236825, 236768, 236771, 236761, 236800, 236828, 236771, 96402, 568, 7022, 236786, 236757, 236778, 236768, 236778, 236810, 236761, 236778, 568, 236812, 236761, 236800, 236768, 236778, 236825, 236761, 236810, 568, 236778, 236761, 236810, 236768, 236771, 236761, 236810, 236810, 236778, 6329, 124591, 11383, 964, 21296, 618, 1908, 236772, 2337, 3535, 8395, 1989, 568, 11116, 236768, 236778, 236828, 236761, 236810, 568, 236770, 236761, 236812, 236768, 236778, 236828, 236761, 236800, 568, 236771, 236761, 236819, 236768, 236771, 236761, 236770, 236819, 236778, 123622, 236748, 6597, 568, 236754, 236786, 14808, 236768, 236770, 236778, 236761, 236771, 568, 236770, 236771, 236761, 236810, 236768, 236832, 236761, 236810, 568, 236810, 236761, 236812, 236768, 236771, 236761, 236771, 236825, 236812, 26253, 236787, 35254, 659, 2820, 532, 4077, 45961, 528, 142704, 236761, 7253, 115625, 2299, 568, 236747, 236761, 236744, 1126, 17524, 76151, 528, 8376, 607, 7002, 20958, 626, 6359, 163098, 2256, 2299, 568, 236747, 236761, 236744, 1126, 17524, 76151, 1186, 626, 96402, 3063, 3413, 3546, 236793, 6329, 236774, 34878, 47988, 5803, 236793, 8395, 50720, 2818, 236772, 117183, 3245, 46382, 236793, 123622, 236748, 78794, 26292, 4014, 49626, 529, 5663, 4588, 236793, 736, 17472, 236793, 3951, 1203, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236775, 126171, 40314, 64736, 236743, 236770, 236800, 236770, 23453, 11682, 236775, 17230, 531, 496, 1615, 55339, 109113, 8897, 528, 837, 614, 64736, 236772, 236770, 236800, 236770, 26777, 23453, 563, 1456, 531, 2980, 2953, 5526, 3439, 236764, 4781, 7923, 236761, 669, 35851, 64736, 563, 20054, 531, 506, 3432, 529, 506, 7923, 531, 9867, 162206, 3874, 236761, 669, 11682, 563, 10518, 531, 735, 496, 26648, 1763, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236770, 464, 366, 375, 14808, 532, 236743, 236778, 464, 366, 375, 76887, 1308, 506, 6534, 529, 506, 21144, 573, 1546, 1012, 236764, 506, 11808, 964, 12457, 532, 506, 4137, 964, 19398, 532, 506, 4078, 964, 17024, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2542, 564, 565, 622, 568, 5251, 15241, 529, 12818, 1732, 3393, 992, 2760, 18964, 236753, 6480, 494, 236828, 236800, 236825, 236778, 28570, 506, 3867, 6492, 563, 108689, 532, 35668, 6608, 2779, 531, 102818, 162751, 189726, 236764, 4659, 4634, 1452, 506, 9813, 4403, 7906, 753, 236743, 236770, 236761, 31203, 41959, 568, 16716, 532, 162805, 236764, 167634, 1865, 532, 32180, 53163, 236764, 13739, 26125, 29966, 236764, 59086, 28989, 62720, 626, 236743, 236778, 236761, 88692, 5490, 1048, 568, 121723, 41183, 236764, 54424, 35281, 12318, 236764, 58731, 24607, 24575, 236786, 142692, 14419, 236787, 842, 1209, 46382, 236764, 38248, 33582, 236764, 4333, 214123, 6272, 42120, 236764, 26935, 529, 10201, 8708, 35254, 236764, 109421, 532, 40170, 665, 626, 236743, 236800, 236761, 8813, 532, 27896, 568, 21108, 27896, 184790, 236764, 195931, 236764, 10645, 236772, 198229, 3535, 4471, 27335, 236787, 34152, 1830, 236764, 120302, 181595, 236764, 10973, 236764, 45325, 532, 22177, 236772, 1048, 626, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 568, 1489, 5440, 6015, 236764, 51508, 1301, 62546, 626, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 568, 52420, 9426, 236787, 104442, 236764, 10353, 16661, 236764, 17172, 81323, 39359, 236764, 155040, 2341, 104560, 236764, 80773, 531, 16501, 1701, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 558, 236828, 236800, 236761, 236825, 236778, 102489, 86331, 496, 4659, 4634, 568, 7736, 1763, 236768, 529, 614, 13482, 532, 35668, 6608, 2779, 531, 614, 102818, 162751, 189726, 236761, 1174, 2820, 506, 20719, 5420, 529, 506, 13482, 236786, 97102, 815, 6915, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4342, 236761, 5803, 12706, 22116, 48251, 659, 102818, 531, 4006, 39857, 10086, 532, 23556, 1388, 236772, 16898, 1308, 35456, 46823, 10292, 568, 187456, 529, 496, 1594, 2355, 236768, 653, 528, 3636, 529, 88928, 12312, 236761, 669, 28041, 529, 13482, 2269, 162751, 189726, 97495, 563, 4785, 531, 577, 2101, 236743, 236770, 236772, 236778, 9525, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 107, 140, 236829, 139, 1018, 902, 9260, 53121, 138701, 33984, 1913, 13625, 563, 496, 5905, 4400, 236761, 13752, 29025, 3204, 808, 894, 124968, 110459, 30237, 808, 894, 124968, 21509, 1002, 33090, 30237, 532, 1032, 5716, 51699, 236761, 107, 140, 236829, 139, 1018, 8891, 660, 2470, 125627, 1804, 53121, 32288, 1133, 15886, 653, 115647, 2636, 3553, 13482, 4652, 236761, 107, 140, 236829, 139, 1018, 40488, 2991, 7482, 514, 49045, 53121, 22282, 13625, 740, 32963, 12290, 17661, 532, 3553, 506, 4652, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 59086, 28989, 62720, 626, 236743, 236778, 236761, 88692, 5490, 1048, 568, 121723, 41183, 236764, 54424, 35281, 12318, 236764, 58731, 24607, 24575, 236786, 142692, 14419, 236787, 842, 1209, 46382, 236764, 38248, 33582, 236764, 4333, 214123, 6272, 42120, 236764, 26935, 529, 10201, 8708, 35254, 236764, 109421, 532, 40170, 665, 626, 236743, 236800, 236761, 8813, 532, 27896, 568, 21108, 27896, 184790, 236764, 195931, 236764, 10645, 236772, 198229, 3535, 4471, 27335, 236787, 34152, 1830, 236764, 120302, 181595, 236764, 10973, 236764, 45325, 532, 22177, 236772, 1048, 626, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 568, 1489, 5440, 6015, 236764, 51508, 1301, 62546, 626, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 568, 52420, 9426, 236787, 104442, 236764, 10353, 16661, 236764, 17172, 81323, 39359, 236764, 155040, 2341, 104560, 236764, 80773, 531, 16501, 1701, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 558, 236828, 236800, 236761, 236825, 236778, 102489, 86331, 496, 4659, 4634, 568, 7736, 1763, 236768, 529, 614, 13482, 532, 35668, 6608, 2779, 531, 614, 102818, 162751, 189726, 236761, 1174, 2820, 506, 20719, 5420, 529, 506, 13482, 236786, 97102, 815, 6915, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4342, 236761, 5803, 12706, 22116, 48251, 659, 102818, 531, 4006, 39857, 10086, 532, 23556, 1388, 236772, 16898, 1308, 35456, 46823, 10292, 568, 187456, 529, 496, 1594, 2355, 236768, 653, 528, 3636, 529, 88928, 12312, 236761, 669, 28041, 529, 13482, 2269, 162751, 189726, 97495, 563, 4785, 531, 577, 2101, 236743, 236770, 236772, 236778, 9525, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 107, 140, 236829, 139, 1018, 902, 9260, 53121, 138701, 33984, 1913, 13625, 563, 496, 5905, 4400, 236761, 13752, 29025, 3204, 808, 894, 124968, 110459, 30237, 808, 894, 124968, 21509, 1002, 33090, 30237, 532, 1032, 5716, 51699, 236761, 107, 140, 236829, 139, 1018, 8891, 660, 2470, 125627, 1804, 53121, 32288, 1133, 15886, 653, 115647, 2636, 3553, 13482, 4652, 236761, 107, 140, 236829, 139, 1018, 40488, 2991, 7482, 514, 49045, 53121, 22282, 13625, 740, 32963, 12290, 17661, 532, 3553, 506, 4652, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 3535, 4471, 27335, 236787, 34152, 1830, 236764, 120302, 181595, 236764, 10973, 236764, 45325, 532, 22177, 236772, 1048, 626, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 568, 1489, 5440, 6015, 236764, 51508, 1301, 62546, 626, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 568, 52420, 9426, 236787, 104442, 236764, 10353, 16661, 236764, 17172, 81323, 39359, 236764, 155040, 2341, 104560, 236764, 80773, 531, 16501, 1701, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 558, 236828, 236800, 236761, 236825, 236778, 102489, 86331, 496, 4659, 4634, 568, 7736, 1763, 236768, 529, 614, 13482, 532, 35668, 6608, 2779, 531, 614, 102818, 162751, 189726, 236761, 1174, 2820, 506, 20719, 5420, 529, 506, 13482, 236786, 97102, 815, 6915, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4342, 236761, 5803, 12706, 22116, 48251, 659, 102818, 531, 4006, 39857, 10086, 532, 23556, 1388, 236772, 16898, 1308, 35456, 46823, 10292, 568, 187456, 529, 496, 1594, 2355, 236768, 653, 528, 3636, 529, 88928, 12312, 236761, 669, 28041, 529, 13482, 2269, 162751, 189726, 97495, 563, 4785, 531, 577, 2101, 236743, 236770, 236772, 236778, 9525, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 107, 140, 236829, 139, 1018, 902, 9260, 53121, 138701, 33984, 1913, 13625, 563, 496, 5905, 4400, 236761, 13752, 29025, 3204, 808, 894, 124968, 110459, 30237, 808, 894, 124968, 21509, 1002, 33090, 30237, 532, 1032, 5716, 51699, 236761, 107, 140, 236829, 139, 1018, 8891, 660, 2470, 125627, 1804, 53121, 32288, 1133, 15886, 653, 115647, 2636, 3553, 13482, 4652, 236761, 107, 140, 236829, 139, 1018, 40488, 2991, 7482, 514, 49045, 53121, 22282, 13625, 740, 32963, 12290, 17661, 532, 3553, 506, 4652, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236764, 129947, 59902, 236787, 155040, 8813, 236764, 22177, 236772, 1048, 151002, 236764, 32683, 13948, 8230, 626, 236743, 236825, 236761, 11669, 82032, 71263, 568, 93496, 33197, 236764, 82032, 54442, 236764, 13752, 82032, 77905, 236764, 26935, 236764, 27938, 580, 168454, 29507, 769, 236743, 107, 8291, 563, 506, 9813, 4403, 529, 506, 5933, 36675, 236743, 236770, 236761, 31203, 41959, 108, 236829, 139, 1018, 16716, 532, 162805, 53121, 558, 236828, 236800, 236761, 236825, 236778, 102489, 86331, 496, 4659, 4634, 568, 7736, 1763, 236768, 529, 614, 13482, 532, 35668, 6608, 2779, 531, 614, 102818, 162751, 189726, 236761, 1174, 2820, 506, 20719, 5420, 529, 506, 13482, 236786, 97102, 815, 6915, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4342, 236761, 5803, 12706, 22116, 48251, 659, 102818, 531, 4006, 39857, 10086, 532, 23556, 1388, 236772, 16898, 1308, 35456, 46823, 10292, 568, 187456, 529, 496, 1594, 2355, 236768, 653, 528, 3636, 529, 88928, 12312, 236761, 669, 28041, 529, 13482, 2269, 162751, 189726, 97495, 563, 4785, 531, 577, 2101, 236743, 236770, 236772, 236778, 9525, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 107, 140, 236829, 139, 1018, 902, 9260, 53121, 138701, 33984, 1913, 13625, 563, 496, 5905, 4400, 236761, 13752, 29025, 3204, 808, 894, 124968, 110459, 30237, 808, 894, 124968, 21509, 1002, 33090, 30237, 532, 1032, 5716, 51699, 236761, 107, 140, 236829, 139, 1018, 8891, 660, 2470, 125627, 1804, 53121, 32288, 1133, 15886, 653, 115647, 2636, 3553, 13482, 4652, 236761, 107, 140, 236829, 139, 1018, 40488, 2991, 7482, 514, 49045, 53121, 22282, 13625, 740, 32963, 12290, 17661, 532, 3553, 506, 4652, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 558, 236828, 236800, 236761, 236825, 236778, 102489, 86331, 496, 4659, 4634, 568, 7736, 1763, 236768, 529, 614, 13482, 532, 35668, 6608, 2779, 531, 614, 102818, 162751, 189726, 236761, 1174, 2820, 506, 20719, 5420, 529, 506, 13482, 236786, 97102, 815, 6915, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4342, 236761, 5803, 12706, 22116, 48251, 659, 102818, 531, 4006, 39857, 10086, 532, 23556, 1388, 236772, 16898, 1308, 35456, 46823, 10292, 568, 187456, 529, 496, 1594, 2355, 236768, 653, 528, 3636, 529, 88928, 12312, 236761, 669, 28041, 529, 13482, 2269, 162751, 189726, 97495, 563, 4785, 531, 577, 2101, 236743, 236770, 236772, 236778, 9525, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 107, 140, 236829, 139, 1018, 902, 9260, 53121, 138701, 33984, 1913, 13625, 563, 496, 5905, 4400, 236761, 13752, 29025, 3204, 808, 894, 124968, 110459, 30237, 808, 894, 124968, 21509, 1002, 33090, 30237, 532, 1032, 5716, 51699, 236761, 107, 140, 236829, 139, 1018, 8891, 660, 2470, 125627, 1804, 53121, 32288, 1133, 15886, 653, 115647, 2636, 3553, 13482, 4652, 236761, 107, 140, 236829, 139, 1018, 40488, 2991, 7482, 514, 49045, 53121, 22282, 13625, 740, 32963, 12290, 17661, 532, 3553, 506, 4652, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 16898, 1308, 35456, 46823, 10292, 568, 187456, 529, 496, 1594, 2355, 236768, 653, 528, 3636, 529, 88928, 12312, 236761, 669, 28041, 529, 13482, 2269, 162751, 189726, 97495, 563, 4785, 531, 577, 2101, 236743, 236770, 236772, 236778, 9525, 107, 236829, 139, 1018, 236788, 3916, 1865, 532, 32180, 53163, 53121, 107, 140, 236829, 139, 1018, 902, 9260, 53121, 138701, 33984, 1913, 13625, 563, 496, 5905, 4400, 236761, 13752, 29025, 3204, 808, 894, 124968, 110459, 30237, 808, 894, 124968, 21509, 1002, 33090, 30237, 532, 1032, 5716, 51699, 236761, 107, 140, 236829, 139, 1018, 8891, 660, 2470, 125627, 1804, 53121, 32288, 1133, 15886, 653, 115647, 2636, 3553, 13482, 4652, 236761, 107, 140, 236829, 139, 1018, 40488, 2991, 7482, 514, 49045, 53121, 22282, 13625, 740, 32963, 12290, 17661, 532, 3553, 506, 4652, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236761, 13752, 29025, 3204, 808, 894, 124968, 110459, 30237, 808, 894, 124968, 21509, 1002, 33090, 30237, 532, 1032, 5716, 51699, 236761, 107, 140, 236829, 139, 1018, 8891, 660, 2470, 125627, 1804, 53121, 32288, 1133, 15886, 653, 115647, 2636, 3553, 13482, 4652, 236761, 107, 140, 236829, 139, 1018, 40488, 2991, 7482, 514, 49045, 53121, 22282, 13625, 740, 32963, 12290, 17661, 532, 3553, 506, 4652, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 13482, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 82068, 53121, 5295, 5235, 5467, 580, 506, 146489, 568, 132908, 531, 506, 34127, 236768, 735, 496, 3715, 13482, 4652, 1082, 198794, 193405, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 9250, 53121, 8035, 2344, 3364, 1492, 236764, 9862, 40034, 8239, 236772, 18082, 22116, 48251, 1053, 496, 16813, 4652, 529, 62163, 532, 40034, 42574, 236764, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 14846, 14260, 25125, 236761, 107, 140, 236829, 139, 1018, 2866, 105196, 53121, 562, 3629, 990, 8448, 1534, 35456, 46823, 10292, 532, 34127, 36410, 1149, 3553, 88002, 4652, 236761, 107, 236829, 139, 1018, 3360, 26125, 29966, 53121, 669, 6219, 529, 496, 7262, 2742, 568, 1437, 189726, 236768, 740, 13018, 614, 35668, 3072, 236761, 138701, 98092, 9025, 531, 13482, 236764, 52388, 1194, 506, 25125, 236761, 669, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2742, 1149, 1183, 496, 95766, 42648, 2101, 506, 34127, 236764, 837, 740, 4258, 532, 4400, 4331, 653, 22367, 236761, 799, 4659, 4634, 236764, 17044, 25125, 532, 236786, 504, 6219, 529, 18416, 12290, 33235, 531, 14335, 10684, 236761, 107, 236829, 139, 1018, 105330, 28989, 62720, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 653, 45427, 236761, 107, 140, 236829, 139, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1018, 8824, 4079, 53121, 119115, 40043, 653, 25125, 528, 506, 146489, 236761, 107, 140, 236829, 139, 1018, 9264, 1788, 53121, 138375, 200443, 2101, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 234955, 27584, 53121, 109421, 531, 6374, 528, 506, 9034, 2433, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 669, 34127, 1149, 735, 29465, 699, 1061, 3303, 2939, 236761, 107, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 1701, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236764, 506, 2269, 1938, 563, 13832, 236787, 108, 236829, 139, 1018, 148108, 529, 496, 5803, 12706, 119668, 11730, 53121, 669, 6213, 1921, 735, 496, 31037, 4083, 529, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 140, 236829, 139, 1018, 110275, 851, 53121, 136320, 18416, 12290, 8304, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 799, 12778, 3636, 236764, 506, 189726, 1149, 1502, 531, 175777, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 51839, 24945, 2064, 53121, 33141, 1149, 577, 46949, 607, 506, 10086, 2779, 531, 506, 2787, 5872, 236761, 108, 10354, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 1701, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236764, 506, 2269, 1938, 563, 13832, 236787, 108, 236829, 139, 1018, 148108, 529, 496, 5803, 12706, 119668, 11730, 53121, 669, 6213, 1921, 735, 496, 31037, 4083, 529, 162751, 189726, 97495, 236761, 107, 236829, 139, 1018, 902, 9260, 653, 46265, 22157, 54188, 53121, 2085, 1921, 577, 4914, 529, 496, 4487, 13482, 653, 35668, 6608, 4596, 531, 506, 189726, 236761, 107, 236829, 139, 1018, 19670, 4634, 53121, 669, 4194, 1921, 577, 31037, 618, 496, 4659, 4634, 236764, 6590, 625, 563, 496, 5226, 1763, 653, 77645, 9113, 699, 506, 4068, 13482, 236786, 97102, 236761, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236743, 236778, 236761, 88692, 5490, 1048, 108, 236829, 139, 1018, 121723, 41183, 53121, 2085, 659, 951, 10781, 21381, 13138, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 85860, 35879, 580, 9737, 12207, 532, 11584, 4914, 699, 4796, 532, 20502, 5254, 236761, 107, 236829, 139, 1018, 155450, 35281, 12318, 53121, 107, 140, 236829, 139, 1018, 3694, 12706, 558, 170829, 53121, 105076, 162751, 4331, 236764, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 1701, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236764, 506, 2269, 1938, 563, 13832, 236787, 108, 236829, 139, 1018, 148108, 529, 496, 5803, 12706, 119668, 11730, 53121, 669, 6213, 1921, 735, 496, 31037, 4083, 529, 162751, 189726, 97495, 236761, 107, 236829, 139, 1018, 902, 9260, 653, 46265, 22157, 54188, 53121, 2085, 1921, 577, 4914, 529, 496, 4487, 13482, 653, 35668, 6608, 4596, 531, 506, 189726, 236761, 107, 236829, 139, 1018, 19670, 4634, 53121, 669, 4194, 1921, 577, 31037, 618, 496, 4659, 4634, 236764, 6590, 625, 563, 496, 5226, 1763, 653, 77645, 9113, 699, 506, 4068, 13482, 236786, 97102, 236761, 1174, 13074, 600, 506, 20719, 5420, 529, 506, 13482, 815, 21891, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4078, 236761, 108, 1018, 93496, 33197, 53121, 108, 236829, 139, 1018, 9723, 1280, 8708, 53121, 2282, 9128, 506, 6219, 529, 496, 162751, 189726, 236761, 107, 236829, 139, 1018, 20558, 24118, 53121, 21685, 522, 506, 13482, 653, 35668, 6608, 236764, 4269, 236764, 532, 9314, 236761, 107, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 919, 3364, 528, 15036, 4399, 236761, 80411, 45988, 740, 45426, 684, 38318, 4806, 2727, 236761, 107, 140, 236829, 139, 1018, 187693, 547, 1177, 11616, 236786, 3524, 574, 11616, 53121, 200057, 529, 506, 21509, 547, 1177, 511, 653, 1594, 2355, 236764, 3187, 7321, 684, 28087, 13482, 236761, 107, 140, 236829, 139, 1018, 39987, 133807, 236786, 87007, 2156, 133807, 53121, 53884, 5249, 2101, 506, 1594, 2355, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 1701, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236764, 506, 2269, 1938, 563, 13832, 236787, 108, 236829, 139, 1018, 148108, 529, 496, 5803, 12706, 119668, 11730, 53121, 669, 6213, 1921, 735, 496, 31037, 4083, 529, 162751, 189726, 97495, 236761, 107, 236829, 139, 1018, 902, 9260, 653, 46265, 22157, 54188, 53121, 2085, 1921, 577, 4914, 529, 496, 4487, 13482, 653, 35668, 6608, 4596, 531, 506, 189726, 236761, 107, 236829, 139, 1018, 19670, 4634, 53121, 669, 4194, 1921, 577, 31037, 618, 496, 4659, 4634, 236764, 6590, 625, 563, 496, 5226, 1763, 653, 77645, 9113, 699, 506, 4068, 13482, 236786, 97102, 236761, 1174, 13074, 600, 506, 20719, 5420, 529, 506, 13482, 815, 21891, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4078, 236761, 108, 1018, 93496, 33197, 53121, 108, 236829, 139, 1018, 9723, 1280, 8708, 53121, 2282, 9128, 506, 6219, 529, 496, 162751, 189726, 236761, 107, 236829, 139, 1018, 20558, 24118, 53121, 21685, 522, 506, 13482, 653, 35668, 6608, 236764, 4269, 236764, 532, 9314, 236761, 107, 236829, 139, 1018, 48265, 43981, 99652, 53121, 3314, 53854, 506, 1873, 10684, 236764, 1288, 618, 4331, 236764, 40043, 236764, 113613, 236764, 653, 189726, 22367, 236761, 107, 236829, 139, 1018, 21567, 532, 70053, 17647, 53121, 79127, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 19861, 10931, 29264, 53121, 562, 3582, 5456, 699, 506, 21355, 17674, 600, 506, 1873, 4194, 563, 496, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 236761, 170856, 740, 9128, 506, 6219, 529, 11756, 236761, 107, 140, 236829, 139, 1018, 236773, 23079, 2156, 133807, 53121, 194544, 525, 3413, 7906, 37661, 236761, 6203, 236758, 567, 532, 45988, 740, 45426, 236761, 107, 140, 236829, 139, 1018, 21115, 236756, 1049, 42807, 722, 53121, 1255, 1168, 5038, 529, 37305, 13269, 1131, 506, 146489, 236761, 27085, 3491, 740, 4781, 8701, 236761, 107, 140, 236829, 139, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 1701, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236764, 506, 2269, 1938, 563, 13832, 236787, 108, 236829, 139, 1018, 148108, 529, 496, 5803, 12706, 119668, 11730, 53121, 669, 6213, 1921, 735, 496, 31037, 4083, 529, 162751, 189726, 97495, 236761, 107, 236829, 139, 1018, 902, 9260, 653, 46265, 22157, 54188, 53121, 2085, 1921, 577, 4914, 529, 496, 4487, 13482, 653, 35668, 6608, 4596, 531, 506, 189726, 236761, 107, 236829, 139, 1018, 19670, 4634, 53121, 669, 4194, 1921, 577, 31037, 618, 496, 4659, 4634, 236764, 6590, 625, 563, 496, 5226, 1763, 653, 77645, 9113, 699, 506, 4068, 13482, 236786, 97102, 236761, 1174, 13074, 600, 506, 20719, 5420, 529, 506, 13482, 815, 21891, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4078, 236761, 108, 1018, 93496, 33197, 53121, 108, 236829, 139, 1018, 9723, 1280, 8708, 53121, 2282, 9128, 506, 6219, 529, 496, 162751, 189726, 236761, 107, 236829, 139, 1018, 20558, 24118, 53121, 21685, 522, 506, 13482, 653, 35668, 6608, 236764, 4269, 236764, 532, 9314, 236761, 107, 236829, 139, 1018, 48265, 43981, 99652, 53121, 3314, 53854, 506, 1873, 10684, 236764, 1288, 618, 4331, 236764, 40043, 236764, 113613, 236764, 653, 189726, 22367, 236761, 107, 236829, 139, 1018, 21567, 532, 70053, 17647, 53121, 79127, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 19861, 10931, 29264, 53121, 562, 3582, 5456, 699, 506, 21355, 17674, 600, 506, 1873, 4194, 563, 496, 4659, 4634, 529, 506, 4487, 13482, 236786, 97102, 236761, 108, 1018, 84930, 54442, 53121, 108, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 29755, 531, 506, 15700, 573, 20446, 31094, 529, 7359, 236764, 64273, 236764, 532, 143422, 236761, 107, 236829, 139, 1018, 236776, 14983, 82032, 41364, 53121, 15183, 506, 201747, 82032, 41364, 573, 1027, 3530, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1018, 3694, 12706, 21120, 53121, 59782, 236764, 840, 1921, 577, 4542, 236761, 170856, 532, 17491, 26401, 568, 96585, 236764, 17673, 236772, 236814, 17956, 236768, 659, 1456, 573, 12207, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 18704, 43592, 53121, 1637, 496, 40034, 189726, 691, 1456, 236764, 62163, 740, 4400, 4331, 532, 25125, 236761, 47358, 563, 506, 1791, 20502, 116848, 236761, 107, 236829, 139, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 1701, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236764, 506, 2269, 1938, 563, 13832, 236787, 108, 236829, 139, 1018, 148108, 529, 496, 5803, 12706, 119668, 11730, 53121, 669, 6213, 1921, 735, 496, 31037, 4083, 529, 162751, 189726, 97495, 236761, 107, 236829, 139, 1018, 902, 9260, 653, 46265, 22157, 54188, 53121, 2085, 1921, 577, 4914, 529, 496, 4487, 13482, 653, 35668, 6608, 4596, 531, 506, 189726, 236761, 107, 236829, 139, 1018, 19670, 4634, 53121, 669, 4194, 1921, 577, 31037, 618, 496, 4659, 4634, 236764, 6590, 625, 563, 496, 5226, 1763, 653, 77645, 9113, 699, 506, 4068, 13482, 236786, 97102, 236761, 1174, 13074, 600, 506, 20719, 5420, 529, 506, 13482, 815, 21891, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4078, 236761, 108, 1018, 93496, 33197, 53121, 108, 236829, 139, 1018, 9723, 1280, 8708, 53121, 2282, 9128, 506, 6219, 529, 496, 162751, 189726, 236761, 107, 236829, 139, 1018, 20558, 24118, 53121, 21685, 522, 506, 13482, 653, 35668, 6608, 236764, 4269, 236764, 532, 9314, 236761, 107, 236829, 139, 1018, 48265, 43981, 99652, 53121, 3314, 53854, 506, 1873, 10684, 236764, 1288, 618, 4331, 236764, 40043, 236764, 113613, 236764, 653, 189726, 22367, 236761, 107, 236829, 139, 1018, 21567, 532, 70053, 17647, 53121, 79127, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 19861, 10931, 29264, 53121, 562, 3582, 5456, 699, 506, 21355, 17674, 600, 506, 1873, 4194, 563, 496, 4659, 4634, 529, 506, 4487, 13482, 236786, 97102, 236761, 108, 1018, 84930, 54442, 53121, 108, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 29755, 531, 506, 15700, 573, 20446, 31094, 529, 7359, 236764, 64273, 236764, 532, 143422, 236761, 107, 236829, 139, 1018, 236776, 14983, 82032, 41364, 53121, 15183, 506, 201747, 82032, 41364, 573, 1027, 3530, 20446, 9106, 4596, 531, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 108, 1018, 19892, 82032, 77905, 53121, 108, 236829, 139, 1018, 17123, 558, 236828, 236800, 236761, 236825, 236778, 174666, 653, 558, 236828, 236800, 236761, 236825, 236778, 118377, 53121, 3143, 17253, 659, 573, 506, 4068, 653, 13323, 14087, 529, 506, 13482, 236786, 97102, 236764, 711, 506, 4659, 4634, 236761, 107, 236829, 139, 1018, 236811, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 1018, 75652, 24607, 24575, 236786, 142692, 14419, 53121, 107, 140, 236829, 139, 1018, 25146, 20909, 4308, 568, 90199, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 2173, 4806, 2145, 1527, 568, 236824, 5901, 236768, 1149, 10128, 14335, 13482, 236764, 840, 1149, 577, 3867, 528, 4659, 4634, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 531, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 115379, 236751, 810, 180927, 2598, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 115379, 1890, 236743, 236770, 236770, 236764, 236771, 236771, 236771, 236786, 10205, 1427, 2598, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 90434, 236761, 107, 140, 236829, 139, 1018, 236780, 236772, 197211, 41164, 568, 190894, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 127245, 11387, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 531, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 33497, 21360, 236787, 127245, 1890, 236743, 236800, 236761, 236771, 12124, 236786, 236798, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 236788, 824, 55661, 72545, 147074, 567, 25870, 568, 1740, 236794, 1473, 1018, 107, 144, 236829, 139, 114954, 774, 102577, 992, 12205, 25125, 236761, 107, 144, 236829, 139, 15585, 2644, 236787, 236743, 236771, 236772, 236770, 236810, 6929, 236786, 2929, 568, 236757, 3051, 779, 236743, 236771, 236772, 236778, 236771, 6929, 236786, 2929, 568, 93027, 3051, 769, 107, 144, 236829, 139, 33497, 21360, 236787, 102577, 1890, 3867, 2644, 236761, 107, 144, 236829, 139, 98364, 236787, 90434, 236793, 40170, 665, 236787, 14533, 236761, 107, 140, 236829, 139, 1018, 38370, 1049, 2869, 53121, 107, 144, 236829, 139, 2021, 6157, 855, 56809, 16359, 13482, 236764, 837, 740, 6494, 1861, 607, 136001, 514, 4331, 236761, 107, 144, 236829, 139, 15585, 236787, 57647, 573, 175063, 236764, 9666, 31065, 236764, 532, 4806, 236761, 107, 144, 236829, 139, 2170, 236777, 236787, 44771, 573, 175063, 236764, 9666, 31065, 236764, 532, 236786, 504, 4806, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 22611, 855, 234487, 236761, 107, 140, 236829, 139, 1018, 236836, 13500, 21427, 53121, 107, 144, 236829, 139, 2859, 228972, 2869, 563, 4414, 236764, 32280, 6540, 38905, 506, 3530, 15127, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 234487, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 170856, 607, 80411, 53121, 107, 144, 236829, 139, 2021, 5608, 573, 11756, 18853, 236764, 21533, 236764, 653, 28322, 4806, 2727, 236761, 107, 144, 236829, 139, 15585, 236787, 20759, 18158, 162751, 12290, 236764, 3867, 4806, 2727, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 53884, 5249, 568, 17911, 133807, 236764, 12147, 2156, 133807, 779, 3413, 568, 163421, 779, 16466, 653, 4869, 4806, 2727, 568, 105925, 526, 236764, 21509, 547, 1177, 11616, 769, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 13718, 60585, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 13718, 60585, 236761, 107, 140, 236829, 139, 1018, 99845, 529, 2991, 7482, 597, 53121, 107, 144, 236829, 139, 2859, 45988, 563, 153153, 653, 531, 13901, 573, 189726, 62163, 236761, 107, 144, 236829, 139, 15585, 236787, 4333, 773, 189726, 236764, 951, 12989, 25125, 236761, 107, 144, 236829, 139, 4619, 7382, 236787, 18704, 693, 2600, 189726, 236764, 11756, 5249, 236764, 25125, 236764, 103569, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 189726, 62163, 236793, 40170, 665, 236787, 4819, 573, 49378, 17661, 529, 189726, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 21427, 53121, 107, 144, 236829, 139, 2859, 993, 563, 30849, 653, 11005, 529, 13482, 657, 506, 26764, 3432, 236761, 107, 144, 236829, 139, 15585, 236787, 2301, 3877, 236761, 107, 144, 236829, 139, 902, 9260, 236787, 26608, 529, 79449, 15127, 236761, 107, 144, 236829, 139, 98364, 236787, 4819, 573, 21558, 182066, 32544, 236793, 40170, 665, 236787, 4819, 573, 21558, 3530, 15127, 236761, 108, 10354, 236743, 236800, 236761, 8813, 532, 27896, 108, 236829, 139, 1018, 21108, 27896, 184790, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 1637, 993, 563, 4914, 529, 14335, 13482, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 2282, 9688, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 48265, 42356, 53121, 2282, 4006, 2644, 529, 5776, 532, 6439, 18416, 12290, 236761, 107, 140, 236829, 139, 1018, 236773, 45088, 111125, 53121, 3353, 577, 4127, 531, 6349, 653, 9883, 506, 189726, 236761, 107, 236829, 139, 1018, 12504, 131550, 53121, 107, 140, 236829, 139, 1018, 145928, 33305, 53121, 107, 144, 236829, 139, 1018, 149625, 53121, 12626, 28224, 716, 495, 236743, 236810, 236771, 236771, 11674, 13174, 1366, 1735, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236793, 622, 9700, 173440, 236743, 236770, 236771, 236771, 11674, 13174, 155757, 573, 236743, 236832, 236772, 236770, 236771, 2668, 236761, 107, 144, 236829, 139, 1018, 3767, 53121, 11800, 854, 123287, 236743, 236770, 236810, 236772, 236778, 236771, 12124, 236786, 7022, 10935, 3752, 236828, 236772, 236770, 236778, 236754, 568, 1708, 12778, 22512, 653, 24291, 8266, 769, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 7179, 573, 12969, 607, 1032, 28022, 506, 6213, 563, 4030, 236761, 107, 140, 236829, 139, 1018, 65931, 236772, 41797, 195931, 53121, 107, 144, 236829, 139, 1018, 175617, 45332, 53121, 59509, 139375, 236743, 236812, 236771, 236771, 236772, 236828, 236771, 236771, 11674, 13174, 1366, 1735, 236793, 18621, 57155, 501, 236743, 236810, 236771, 236771, 11674, 13174, 155757, 236761, 107, 144, 236829, 139, 1018, 236780, 51121, 10148, 15509, 53121, 23697, 14363, 811, 236743, 236778, 236771, 236772, 236812, 236771, 11674, 13174, 6376, 236764, 82783, 1024, 236743, 236770, 236772, 236778, 5695, 236761, 107, 144, 236829, 139, 1018, 75271, 87972, 53121, 98363, 45332, 740, 3553, 35475, 4652, 236793, 35963, 525, 10148, 15509, 740, 4208, 4806, 9792, 532, 15962, 1292, 236761, 107, 236829, 139, 1018, 14042, 236772, 198229, 3535, 4471, 27335, 53121, 107, 140, 236829, 139, 1018, 3900, 7482, 514, 12730, 53121, 92680, 31453, 66090, 653, 496, 673, 945, 10101, 236761, 107, 140, 236829, 139, 1018, 99257, 4152, 34372, 53121, 65857, 6962, 148261, 531, 506, 146489, 531, 6439, 4331, 532, 40043, 236761, 107, 140, 236829, 139, 1018, 110275, 87978, 53121, 43314, 30524, 529, 506, 18416, 12290, 531, 4006, 25028, 532, 6439, 4331, 236761, 107, 236829, 139, 1018, 120104, 532, 22177, 236772, 1048, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 7179, 53121, 40179, 17611, 529, 506, 26764, 3432, 573, 11005, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 49854, 30076, 53121, 45325, 4331, 4535, 532, 39919, 22137, 618, 4354, 236761, 107, 140, 236829, 139, 1018, 21567, 24575, 53121, 51909, 87134, 236764, 127245, 236764, 532, 102577, 768, 993, 563, 4561, 573, 14335, 13482, 653, 25125, 236761, 107, 140, 236829, 139, 1018, 142692, 53121, 51909, 45988, 653, 47358, 768, 10684, 122274, 653, 776, 711, 4006, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 151002, 53121, 3227, 506, 559, 158154, 1418, 236743, 236770, 236772, 236800, 3794, 531, 5608, 5609, 532, 3421, 1027, 31094, 236761, 108, 10354, 236743, 236812, 236761, 177769, 6015, 532, 1301, 62546, 108, 236829, 139, 1018, 1489, 5440, 6015, 53121, 669, 67123, 573, 558, 236828, 236800, 236761, 236825, 236778, 102489, 22130, 10167, 580, 506, 33326, 529, 506, 4194, 532, 506, 6213, 236789, 236751, 3072, 531, 4269, 236761, 8732, 4399, 2707, 11531, 607, 42849, 236764, 7247, 236772, 41797, 28022, 236764, 532, 5663, 11682, 236761, 3153, 236764, 1070, 4399, 1149, 1660, 26764, 21144, 236761, 107, 236829, 139, 1018, 104884, 1301, 62546, 53121, 107, 140, 236829, 139, 1018, 179432, 22347, 53121, 162189, 136001, 514, 4331, 236761, 107, 140, 236829, 139, 1018, 1489, 540, 11730, 187261, 53121, 1705, 17466, 529, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 110275, 96979, 44170, 53121, 136320, 155472, 2101, 506, 34127, 236761, 107, 140, 236829, 139, 1018, 8306, 236750, 5038, 53121, 212044, 529, 506, 189726, 1343, 506, 5716, 236761, 107, 140, 236829, 139, 1018, 902, 9260, 4899, 112151, 53121, 4899, 112151, 529, 13482, 236761, 107, 140, 236829, 139, 1018, 236811, 617, 2903, 44170, 53121, 196187, 5603, 1534, 506, 146489, 532, 12989, 21346, 236761, 107, 140, 236829, 139, 1018, 46077, 20325, 1783, 845, 665, 53121, 78742, 24945, 6528, 39857, 10086, 236761, 108, 10354, 236743, 236810, 236761, 33141, 9426, 532, 129947, 22113, 108, 236829, 139, 1018, 52420, 9426, 53121, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 59902, 580, 1217, 531, 2065, 573, 506, 26764, 3432, 236761, 107, 140, 236829, 139, 1018, 12504, 4052, 8813, 53121, 107182, 529, 28022, 236764, 147014, 236764, 532, 3435, 2678, 4518, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 80894, 580, 31983, 124955, 5085, 236761, 107, 140, 236829, 139, 1018, 139802, 529, 108689, 53121, 7753, 606, 580, 48857, 11005, 529, 13482, 568, 236760, 1627, 236764, 113613, 236764, 40043, 236764, 30849, 769, 107, 140, 236829, 139, 1018, 177389, 529, 22177, 236772, 1048, 53121, 4075, 9042, 969, 506, 8020, 529, 1500, 236772, 1048, 33306, 236761, 107, 236829, 139, 1018, 4830, 10690, 59902, 53121, 107, 140, 236829, 139, 1018, 12504, 131550, 53121, 4361, 784, 28022, 236764, 147014, 236764, 532, 7132, 236761, 107, 140, 236829, 139, 1018, 236824, 960, 10668, 53121, 48756, 11808, 580, 16753, 2065, 236764, 2440, 29387, 3731, 532, 11005, 529, 13482, 531, 4526, 573, 236761, 107, 140, 236829, 139, 1018, 5753, 130726, 53121, 39874, 7274, 31342, 236764, 124955, 8774, 236764, 532, 11953, 4588, 573, 236743, 236812, 236772, 236825, 5695, 236761, 107, 140, 236829, 139, 1018, 27447, 236772, 1048, 85941, 53121, 27468, 496, 1500, 236772, 1048, 15043, 607, 506, 559, 158154, 528, 236743, 236770, 236772, 236778, 5695, 236761, 107, 140, 236829, 139, 1018, 94209, 13948, 8230, 53121, 39525, 3662, 1938, 573, 506, 559, 158154, 236789, 236751, 4408, 532, 11808, 580, 1056, 531, 6370, 13258, 5526, 5700, 236761, 108, 10354, 236743, 236825, 236761, 11669, 82032, 71263, 108, 4663, 496, 5526, 20446, 11521, 236764, 62257, 506, 4338, 119989, 236772, 236770, 236771, 236772, 10087, 3393, 7087, 15318, 3540, 529, 506, 6213, 236789, 236751, 5526, 3423, 236761, 1701, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236764, 506, 2269, 1938, 563, 13832, 236787, 108, 236829, 139, 1018, 148108, 529, 496, 5803, 12706, 119668, 11730, 53121, 669, 6213, 1921, 735, 496, 31037, 4083, 529, 162751, 189726, 97495, 236761, 107, 236829, 139, 1018, 902, 9260, 653, 46265, 22157, 54188, 53121, 2085, 1921, 577, 4914, 529, 496, 4487, 13482, 653, 35668, 6608, 4596, 531, 506, 189726, 236761, 107, 236829, 139, 1018, 19670, 4634, 53121, 669, 4194, 1921, 577, 31037, 618, 496, 4659, 4634, 236764, 6590, 625, 563, 496, 5226, 1763, 653, 77645, 9113, 699, 506, 4068, 13482, 236786, 97102, 236761, 1174, 13074, 600, 506, 20719, 5420, 529, 506, 13482, 815, 21891, 236764, 840, 506, 6213, 563, 2036, 24165, 4596, 4078, 236761, 108, 1018, 93496, 33197, 53121, 108, 236829, 139, 1018, 9723, 1280, 8708, 53121, 2282, 9128, 506, 6219, 529, 496, 162751, 189726, 236761, 107, 236829, 139, 1018, 20558, 24118, 53121, 21685, 522, 506, 13482, 653, 35668, 6608, 236764, 4269, 236764, 532, 9314, 236761, 107, 236829, 139, 1018, 48265, 43981, 99652, 53121, 3314, 53854, 506, 1873, 10684, 236764, 1288, 618, 4331, 236764, 40043, 236764, 113613, 236764, 653, 189726, 22367, 236761, 107, 236829, 139, 1018, 21567, 532, 70053, 17647, 53121, 79127, 506, 15876, 532, 22611, 855, 1032, 3439, 236761, 107, 236829, 139, 1018, 19861, 10931, 29264, 53121, 562, 3582, 5456, 699, 506, 21355, 17674, 600, 506, 1873, 4194, 563, 496, 4659, 4634, 529, 506, 4487, 13482, 236786, 97102, 236761, 108, 1018, 84930, 54442, 53121, 108, 236829, 139, 1018, 2011, 236796, 236772, 236770, 236771, 236772, 10087, 34883, 54442, 573, 82032, 532, 49847, 53121, 29755, 531, 506, 15700, 573, 20446, 31094, 529, 7359, 236764, 64273, 236764, 532, 143422, 236761, 107, 236829, 139, 1018, 236776, 14983, 82032, 41364, 53121, 15183, 506, 201747, 82032, 41364, 573, 1027, 3530, 20446, 9106, 4596, 531, 558, 236828, 236800, 236761, 236825, 236778, 102489, 236761, 108, 1018, 19892, 82032, 77905, 53121, 108, 236829, 139, 1018, 17123, 558, 236828, 236800, 236761, 236825, 236778, 174666, 653, 558, 236828, 236800, 236761, 236825, 236778, 118377, 53121, 3143, 17253, 659, 573, 506, 4068, 653, 13323, 14087, 529, 506, 13482, 236786, 97102, 236764, 711, 506, 4659, 4634, 236761, 107, 236829, 139, 1018, 236811, 16711, 531, 8739, 506, 108689, 53121, 1637, 993, 563, 614, 5158, 13482, 236764, 614, 4767, 3393, 1374, 577, 1456, 531, 8701, 506, 3530, 13482, 236761, 107, 236829, 139, 1018, 82727, 192471, 53121, 669, 3393, 573, 506, 15605, 4194, 1374, 577, 101744, 1171, 236764, 6641, 684, 506, 3393, 573, 506, 77645, 236761, 108, 1018, 38408, 53121, 108, 236829, 139, 1018, 34318, 53121, 562, 6213, 1053, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]