JunxiongWang/QwenFineMATH · Datasets at Fast360

[ 2, 16209, 37113, 448, 25, 328, 482, 11, 75259, 11, 68660, 271, 5632, 553, 25, 8883, 943, 510, 16749, 2088, 510, 62078, 2188, 1447, 14374, 2619, 525, 220, 18, 20, 3059, 271, 68324, 40894, 861, 5355, 95362, 64647, 323, 1163, 73881, 6988, 861, 328, 482, 11, 75259, 11, 68660, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 785, 11067, 315, 264, 21495, 525, 220, 17, 20, 11, 220, 18, 24, 323, 220, 19, 15, 8153, 315, 3084, 13, 7379, 279, 23033, 315, 279, 4225, 6237, 17433, 12671, 382, 14374, 21224, 88001, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 74785, 1246, 311, 9245, 2326, 25362, 892, 614, 5671, 304, 279, 11341, 220, 16, 25, 17, 25, 18, 382, 14374, 10967, 2160, 279, 31262, 1939, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 32, 12756, 8471, 518, 279, 1459, 320, 16, 11, 15, 8, 323, 10577, 87043, 1023, 4482, 13, 2980, 498, 16045, 279, 2608, 315, 279, 12756, 1283, 432, 702, 6519, 1526, 220, 19, 20, 12348, 30, 2980, 498, 11047, 1181, 2608, 1939, 14374, 19037, 315, 35844, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 1925, 264, 11627, 16574, 30687, 2482, 264, 7055, 374, 40298, 916, 220, 19, 30687, 82, 304, 264, 330, 17781, 315, 220, 23, 1, 26112, 13, 2585, 1657, 2155, 330, 17781, 315, 220, 23, 1, 27804, 646, 387, 1865, 23754, 14374, 20084, 12, 32537, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 19641, 31340, 525, 14764, 389, 279, 11067, 315, 264, 21495, 19360, 13, 10964, 5671, 525, 15576, 220, 16, 23, 220, 15, 15, 15, 11, 220, 17, 15, 220, 15, 15, 15, 323, 220, 17, 21, 220, 15, 15, 15, 9334, 2889, 85266, 416, 13, 1416, 279, 15955, 17228, 315, 279, 31340, 525, 10859, 11, 2326, 803, 13, 659, 659, 6762, 14374, 328, 482, 323, 18114, 482, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 785, 57668, 315, 458, 9210, 374, 6144, 311, 279, 75259, 315, 1181, 22766, 13, 2980, 498, 10339, 3170, 323, 1558, 419, 5912, 13036, 7797, 25941, 315, 220, 24, 15, 12348, 1939, 14374, 9726, 17433, 304, 264, 21224, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 785, 3082, 315, 264, 9334, 1640, 17433, 304, 264, 12671, 448, 264, 4982, 10578, 374, 11, 36054, 398, 11, 220, 17, 13, 3555, 374, 279, 3082, 315, 264, 5792, 12371, 6113, 1640, 17433, 304, 264, 12671, 448, 264, 4982, 10578, 1939, 14374, 21224, 8261, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 2132, 374, 8036, 429, 582, 646, 4946, 3040, 25362, 315, 23033, 220, 16, 4982, 304, 264, 9334, 315, 3108, 220, 17, 2041, 49817, 13, 3555, 374, 279, 24632, 9334, 1119, 892, 582, 646, 4946, 220, 18, 25362, 315, 23033, 220, 16, 4982, 1939, 14374, 17097, 323, 17097, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 1336, 586, 429, 279, 91766, 3082, 315, 279, 5234, 292, 7074, 374, 6144, 311, 279, 3082, 315, 279, 9179, 12671, 382, 14374, 422, 534, 66, 672, 9198, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 12480, 11221, 311, 11555, 24140, 315, 362, 19, 5567, 1119, 20189, 351, 2382, 323, 41740, 1105, 311, 1352, 264, 294, 534, 924, 41009, 2248, 13, 20517, 279, 1465, 304, 279, 9210, 315, 279, 537, 13942, 5792, 20189, 351, 2382, 498, 1281, 382, 14374, 18680, 11735, 82, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 41460, 26931, 56695, 525, 19375, 304, 2155, 34731, 14697, 773, 429, 279, 56695, 5796, 862, 35856, 323, 279, 11067, 315, 279, 3745, 13, 2980, 498, 2182, 279, 14697, 304, 1973, 4092, 311, 279, 5671, 315, 862, 23092, 1939, 14374, 5542, 2009, 21330, 388, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 88854, 5128, 525, 14764, 504, 1817, 9131, 315, 264, 9334, 311, 279, 5099, 3501, 315, 279, 14002, 11067, 13, 17399, 279, 3082, 315, 279, 18491, 6113, 429, 374, 14122, 518, 279, 12261, 438, 264, 19419, 315, 279, 3082, 315, 279, 9334, 382, 14374, 431, 50126, 279, 46349, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 4340, 3041, 1265, 279, 15134, 916, 20658, 311, 27501, 11030, 504, 279, 5099, 11228, 7015, 1939, 14374, 13452, 9917, 594, 44673, 15619, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 3830, 279, 21595, 323, 279, 29989, 2661, 1477, 279, 3082, 315, 279, 9334, 429, 374, 537, 9761, 553, 279, 21495, 323, 279, 12671, 382, 14374, 17097, 323, 17097, 264, 21224, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 6713, 498, 10339, 1128, 374, 12482, 323, 2692, 369, 279, 2750, 1660, 12596, 1939, 14374, 11099, 315, 1163, 73881, 6988, 481, 3660, 220, 18, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 23, 271, 785, 4843, 315, 2326, 9709, 389, 279, 11099, 315, 1163, 73881, 6988, 382, 14374, 362, 24613, 369, 279, 24446, 739, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 785, 9237, 374, 4623, 504, 279, 8059, 1091, 48976, 11, 714, 1246, 1753, 4623, 30, 93566, 438, 3041, 30, 17695, 3039, 1939, 14374, 444, 7024, 323, 8436, 1095, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 12480, 279, 11221, 323, 498, 646, 1896, 264, 22756, 11, 3931, 432, 1119, 220, 19, 9666, 11, 37867, 1378, 2613, 42446, 11, 2182, 3786, 279, 9664, 1378, 9666, 323, 835, 705, 448, 264, 22756, 279, 1852, 1379, 13, 9735, 432, 2219, 14374, 18114, 1543, 18100, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 19641, 3501, 362, 11, 425, 323, 356, 10246, 304, 419, 1973, 389, 264, 1555, 11, 323, 393, 374, 894, 1459, 304, 279, 11031, 13, 5443, 279, 18114, 482, 18100, 311, 12118, 279, 2701, 5114, 382, 14374, 2411, 264, 8280, 681, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 785, 3082, 315, 264, 5792, 20189, 6113, 5868, 911, 10917, 438, 264, 2409, 438, 279, 20189, 4044, 6774, 14764, 2878, 432, 13, 2160, 432, 1939, 14374, 328, 482, 323, 18114, 482, 369, 49486, 7416, 642, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 785, 3084, 6769, 646, 387, 16588, 1667, 52933, 263, 6988, 304, 1378, 2155, 5510, 13, 4230, 419, 6716, 315, 13578, 28117, 369, 2155, 30687, 20490, 11, 5293, 264, 4586, 1102, 11, 323, 2692, 369, 432, 382, 14374, 576, 11099, 315, 1163, 73881, 6988, 12, 3660, 220, 16, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 23, 271, 785, 1156, 315, 2326, 9709, 389, 279, 11099, 315, 1163, 73881, 6988, 13, 1096, 4990, 601, 504, 279, 81504, 311, 4124, 975, 389, 52933, 263, 6988, 304, 5616, 382, 14374, 11099, 315, 1163, 73881, 6988, 481, 3660, 220, 17, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 23, 271, 785, 2086, 315, 2326, 9709, 389, 279, 11099, 315, 1163, 73881, 6988, 382, 14374, 24288, 92578, 25, 18398, 20408, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 2610, 646, 990, 264, 9218, 20408, 311, 6629, 279, 2608, 315, 16217, 2513, 429, 498, 646, 944, 10767, 5545, 311, 279, 1909, 315, 11, 7405, 264, 9218, 20408, 323, 990, 432, 311, 1492, 498, 16045, 279, 35294, 315, 16217, 6171, 382, 14374, 37627, 20084, 5403, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 4340, 646, 498, 4009, 279, 82133, 315, 264, 34564, 389, 264, 10063, 6573, 315, 5567, 1939, 14374, 220, 23, 18801, 369, 14513, 553, 3776, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 23, 25257, 9395, 1447, 1986, 3491, 304, 17047, 702, 1012, 27956, 304, 902, 2686, 1091, 468, 4631, 5510, 553, 264, 6716, 315, 4143, 13, 2585, 1035, 498, 11625, 432, 30, 2585, 1657, 315, 862, 9904, 646, 498, 1795, 30, 2585, 525, 807, 279, 1852, 476, 2155, 4607, 659, 659, 6762, 14374, 84457, 287, 8596, 67865, 70603, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 3838, 9210, 374, 4362, 369, 264, 4935, 311, 653, 264, 16224, 315, 279, 4031, 67865, 1965, 323, 1221, 1494, 1526, 1181, 4024, 2309, 1939, 14374, 13948, 32347, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 32, 3271, 480, 4171, 21521, 3156, 264, 69037, 45879, 6974, 264, 84313, 9099, 3100, 2530, 13, 362, 18299, 315, 3100, 504, 429, 2530, 374, 15540, 6974, 264, 7002, 315, 279, 45879, 11, 892, 432, 22368, 518, 220, 19, 20, 12348, 13, 659, 659, 6762, 67331, 13081, 220, 16, 16, 311, 220, 16, 23, 271, 27583, 8609, 601, 311, 3535, 52149, 315, 5128, 323, 3170, 386, 2596, 642, 15485, 374, 537, 10963, 714, 37596, 13, 3496, 279, 3491, 386, 2596, 642, 10963, 382, 14374, 73262, 12960, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 785, 83323, 5662, 304, 7770, 4990, 220, 20, 15, 281, 763, 9666, 13, 1084, 1083, 4990, 264, 3654, 7214, 16254, 315, 8606, 2884, 2146, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 641, 419, 3491, 582, 525, 16601, 448, 458, 13812, 4135, 3082, 3491, 11, 714, 432, 702, 8048, 76004, 4969, 0, 3555, 6932, 1939, 14374, 13452, 55451, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 2082, 22067, 374, 389, 1909, 315, 264, 326, 57909, 13, 2585, 3041, 504, 279, 4478, 315, 279, 326, 57909, 374, 279, 34074, 429, 279, 22067, 646, 1490, 1939, 14374, 35844, 40577, 3530, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 11613, 76833, 5128, 10246, 3941, 1817, 1008, 323, 279, 835, 3501, 525, 10859, 311, 1352, 264, 29136, 42939, 13, 35844, 41238, 525, 4512, 11, 2326, 525, 2661, 714, 4236, 1184, 311, 387, 1730, 382, 14374, 1163, 73881, 23375, 1298, 54766, 271, 67331, 13081, 220, 16, 19, 311, 220, 16, 21, 25257, 9395, 1447, 2082, 4573, 429, 1643, 23156, 264, 462, 54766, 15331, 264, 1290, 12, 98310, 21495, 315, 4982, 9751, 65628, 810, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 785, 55530, 1637, 5007, 374, 7248, 553, 23957, 504, 3847, 315, 279, 55530, 1637, 323, 553, 264, 13198, 504, 279, 4467, 2382, 5007, 382, 472, 21042, 320, 91786, 504, 576, 1913, 91536, 67098, 315, 4440, 24811, 2380, 27584, 362, 16, 17, 22, 18, 18, 15, 18597, 448, 279, 4287, 8500, 323, 264, 5916, 1372, 274, 284, 220, 15, 13, 2411, 3019, 595, 320, 74, 2604, 220, 16, 8, 8737, 279, 595, 23921, 5109, 274, 311, 274, 45455, 12, 16, 323, 2297, 279, 5916, 1372, 320, 1958, 279, 1790, 3019, 8, 311, 220, 17, 82, 10, 17, 13, 220, 20, 198, 220, 15, 11, 220, 17, 11, 220, 18, 11, 220, 21, 11, 220, 22, 11, 220, 23, 11, 220, 16, 19, 11, 220, 16, 20, 11, 220, 16, 21, 11, 220, 16, 22, 11, 220, 18, 15, 11, 220, 18, 16, 11, 220, 18, 17, 11, 220, 18, 18, 11, 220, 18, 19, 11, 220, 21, 17, 11, 220, 21, 18, 11, 220, 21, 19, 11, 220, 21, 20, 11, 220, 21, 21, 11, 220, 21, 22, 11, 220, 16, 17, 21, 11, 220, 16, 17, 22, 11, 220, 16, 17, 23, 11, 220, 16, 17, 24, 11, 220, 16, 18, 15, 11, 220, 16, 18, 16, 11, 220, 16, 18, 17, 11, 220, 17, 20, 19, 11, 220, 17, 20, 20, 11, 220, 17, 20, 21, 11, 220, 17, 20, 22, 11, 220, 17, 20, 23, 11, 220, 17, 20, 24, 11, 220, 17, 21, 15, 11, 220, 17, 21, 16, 11, 220, 20, 16, 15, 11, 220, 20, 16, 16, 11, 220, 20, 16, 17, 11, 220, 20, 16, 18, 11, 220, 20, 16, 19, 11, 220, 20, 16, 20, 11, 220, 20, 16, 21, 11, 220, 20, 16, 22, 11, 220, 20, 16, 23, 11, 220, 16, 15, 17, 17, 11, 220, 16, 15, 17, 18, 11, 220, 16, 15, 17, 19, 11, 220, 16, 15, 17, 20, 11, 220, 16, 15, 17, 21, 11, 220, 16, 15, 17, 22, 11, 220, 16, 15, 17, 23, 11, 220, 16, 15, 17, 24, 11, 220, 16, 15, 18, 15, 11, 220, 16, 15, 18, 16, 11, 220, 17, 15, 19, 21, 320, 1607, 26, 1965, 26, 4771, 26, 43143, 26, 8844, 26, 3840, 26, 1467, 26, 5306, 3561, 340, 48104, 220, 15, 11, 17, 94742, 5542, 264, 5883, 1473, 13, 362, 16, 17, 24, 16, 19, 17, 323, 362, 16, 17, 24, 16, 19, 18, 525, 4428, 11, 10078, 803, 5810, 11, 714, 369, 264, 24626, 8365, 2238, 17821, 23700, 13, 2980, 387, 3884, 438, 264, 21495, 320, 651, 553, 3019, 8, 1349, 553, 6978, 25, 350, 1445, 16147, 8, 284, 350, 1445, 12, 16, 16147, 8, 488, 220, 17, 86167, 369, 595, 366, 308, 323, 350, 1445, 10128, 8, 284, 350, 1445, 12, 16, 10128, 12, 16, 8, 488, 220, 17, 86167, 488, 220, 16, 13, 481, 46069, 18703, 71474, 74, 7073, 11, 4620, 220, 16, 21, 220, 17, 15, 16, 18, 40491, 50, 46069, 18703, 71474, 74, 7073, 11, 61706, 308, 284, 220, 15, 496, 16, 17, 20, 315, 21495, 11, 67361, 66246, 758, 3019, 220, 16, 5916, 1372, 220, 15, 374, 51187, 311, 279, 4287, 8500, 323, 279, 1790, 5916, 1372, 374, 220, 17, 9, 15, 488, 220, 17, 284, 220, 17, 13, 758, 3019, 220, 17, 279, 1378, 5109, 220, 17, 11, 220, 18, 525, 51187, 323, 279, 5916, 1372, 374, 5497, 311, 220, 17, 9, 17, 488, 220, 17, 284, 220, 21, 13, 24795, 1799, 56889, 31001, 6633, 58, 16437, 58, 17, 61, 74, 12, 17, 11, 220, 17, 61, 74, 45455, 12, 18, 1125, 314, 74, 11, 220, 16, 11, 220, 16, 16, 25439, 442, 85638, 4609, 19685, 7276, 6576, 67353, 1674, 3688, 11, 4915, 220, 15, 22, 220, 17, 15, 16, 18, 11, 1283, 81097, 47577, 31551, 2586, 16471, 52108, 15, 2137, 85638, 58, 2354, 52108, 7370, 28, 16, 15, 2137, 16437, 58, 13353, 58, 16, 20492, 10657, 67216, 5053, 5, 38662, 6855, 58, 314, 14603, 372, 6334, 58, 220, 17, 61, 6046, 58, 7370, 20492, 16437, 58, 7370, 13989, 5053, 5053, 4609, 33322, 393, 13, 36728, 11, 4620, 220, 15, 20, 220, 17, 15, 16, 22, 2586, 5308, 38, 320, 47, 16028, 8, 314, 85, 30692, 26, 274, 28, 15, 26, 369, 5969, 28, 16, 11, 220, 16, 16, 11, 289, 28, 3215, 5969, 11, 502, 11, 502, 67797, 12, 16, 1215, 274, 28, 17, 33454, 10, 17, 26, 348, 28, 20164, 3747, 11, 289, 5905, 369, 1445, 28, 16, 11, 671, 85, 11, 1173, 16, 3747, 7669, 1125, 3670, 80169, 92, 24984, 81097, 47577, 31551, 11, 2876, 220, 18, 16, 220, 17, 15, 15, 22, 320, 44, 76168, 8, 609, 4616, 58, 508, 17, 61, 74, 12, 17, 496, 17, 61, 74, 45455, 12, 18, 5669, 595, 304, 508, 16, 496, 16, 16, 60, 13084, 442, 81097, 47577, 31551, 11, 2876, 220, 18, 16, 220, 17, 15, 15, 22, 320, 39, 42758, 8, 264, 16, 17, 22, 18, 18, 15, 308, 595, 284, 264, 16, 17, 22, 18, 18, 15, 17344, 75, 11015, 308, 11015, 595, 264, 16, 17, 22, 18, 18, 15, 8530, 308, 284, 264, 16, 17, 22, 18, 18, 15, 17344, 75, 11015, 308, 264, 16, 17, 22, 18, 18, 15, 17344, 75, 284, 3019, 220, 15, 220, 16, 1380, 17091, 4102, 4102, 9520, 274, 595, 284, 508, 82, 5241, 274, 488, 595, 481, 220, 16, 60, 549, 3019, 320, 17, 353, 274, 488, 220, 17, 8, 320, 74, 488, 220, 16, 8, 1177, 46069, 18703, 71474, 74, 7073, 11, 4620, 220, 16, 21, 220, 17, 15, 16, 18, 97773, 5996, 50, 89894, 13, 362, 16, 17, 24, 16, 19, 17, 11, 362, 16, 17, 24, 16, 19, 18, 13, 89894, 13, 362, 15, 15, 15, 24, 16, 23, 320, 2359, 6821, 701, 362, 16, 19, 20, 15, 22, 16, 320, 1291, 6821, 568, 28871, 304, 2266, 25, 362, 16, 21, 21, 19, 20, 23, 362, 16, 23, 24, 15, 16, 18, 362, 17, 19, 17, 24, 19, 15, 353, 362, 15, 18, 20, 18, 19, 21, 362, 15, 18, 15, 16, 21, 19, 362, 15, 21, 21, 21, 19, 21, 62916, 18181, 23700, 25, 4102, 4102, 32, 16, 17, 22, 18, 17, 22, 362, 16, 17, 22, 18, 17, 23, 362, 16, 17, 22, 18, 17, 24, 353, 362, 16, 17, 22, 18, 18, 16, 362, 16, 17, 22, 18, 18, 17, 362, 16, 17, 22, 18, 18, 18, 12013, 7227, 4135, 10128, 558, 11, 6280, 77, 11, 73099, 40809, 23644, 13115, 1268, 320, 5342, 1037, 35040, 1268, 82273, 8, 299, 10637, 905, 701, 2876, 220, 18, 15, 220, 17, 15, 15, 22, 33757, 84722, 65789, 323, 11577, 553, 81097, 47577, 31551, 11, 2876, 220, 18, 16, 220, 17, 15, 15, 22, 48970, 5651, 75, 3694, 323, 4347, 5497, 553, 46069, 18703, 71474, 74, 7073, 11, 4620, 220, 16, 21, 220, 17, 15, 16, 18, 24014, 11792, 271, 34247, 760, 20166, 760, 29228, 760, 8451, 760, 10717, 760, 26033, 220, 17, 760, 4724, 436, 760, 8008, 760, 41712, 760, 4398, 760, 4895, 25406, 198, 1109, 2199, 501, 12981, 13, 476, 3980, 760, 15042, 760, 11913, 27741, 760, 4058, 9807, 760, 7297, 25713, 261, 760, 34290, 198, 785, 55530, 1637, 12062, 760, 42887, 2627, 553, 576, 55530, 1637, 5007, 4848, 382, 5842, 10807, 6122, 220, 17, 18, 220, 16, 24, 25, 19, 16, 47923, 220, 17, 15, 17, 15, 13, 30811, 220, 18, 18, 22, 18, 16, 20, 23700, 13, 320, 18990, 389, 68383, 285, 19, 6138 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7198, 14, 595, 1735, 1177, 14163, 2660, 1571, 198, 1205, 614, 2326, 220, 21, 339, 11972, 9965, 6846, 323, 1378, 220, 23, 339, 11972, 9965, 6846, 41992, 1588, 504, 279, 16462, 39405, 304, 81448, 580, 372, 11, 28566, 0, 66977, 5989, 388, 525, 6832, 264, 2699, 911, 35508, 14205, 15806, 724, 11, 12158, 8038, 1526, 7722, 3015, 71446, 11, 323, 6961, 8038, 419, 1042, 13, 96488, 5989, 388, 525, 6832, 911, 2272, 8038, 419, 1042, 13, 5209, 5138, 601, 438, 582, 3960, 9965, 553, 23966, 1039, 1879, 13, 4392, 13, 479, 594, 14163, 4392, 13, 479, 594, 3228, 5573, 5755, 198, 553, 595, 1735, 11079, 25, 1674, 21470, 704, 51086, 271, 26700, 65193, 198, 1759, 220, 17, 20, 11, 220, 20, 15, 11, 678, 271, 13355, 8454, 3217, 220, 16, 21, 11, 220, 17, 15, 16, 17, 518, 220, 15, 18, 25, 17, 24, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 15, 22, 23, 1588, 525, 279, 25659, 358, 11994, 320, 15880, 8, 220, 16, 13, 1758, 1110, 67, 4942, 672, 391, 15705, 45289, 6830, 60982, 14, 17, 15, 16, 17, 14, 15, 17, 6324, 14184, 15150, 7664, 2564, 220, 17, 6964, 1110, 56758, 672, 391, 15705, 45289, 6830, 60982, 14, 17, 15, 16, 17, 14, 15, 17, 14, 574, 30430, 33973, 2564, 1846, 525, 279, 25659, 358, 11994, 1588, 374, 1045, 1995, 911, 1105, 220, 16, 950, 4942, 11088, 9833, 323, 15804, 220, 17, 13, 56758, 13151, 2256, 1923, 436, 13355, 8454, 3217, 220, 16, 21, 11, 220, 17, 15, 16, 17, 518, 220, 15, 18, 25, 17, 24, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 15, 22, 23, 198, 13355, 8454, 3217, 220, 16, 20, 11, 220, 17, 15, 16, 17, 518, 220, 15, 18, 25, 16, 21, 5851, 24488, 7288, 3980, 7288, 43721, 220, 22, 24, 15, 362, 13, 358, 3381, 429, 279, 6884, 3108, 389, 264, 2504, 11756, 7579, 1035, 387, 279, 3108, 429, 1035, 312, 64, 32471, 320, 600, 1414, 600, 67818, 429, 4969, 8, 279, 1429, 5344, 311, 6815, 1576, 432, 702, 279, 1429, 7329, 3082, 714, 358, 1730, 700, 429, 279, 3108, 448, 279, 3245, 7329, 320, 279, 15026, 3108, 8, 3867, 279, 1429, 5344, 311, 6815, 13, 3555, 358, 9498, 911, 7329, 3082, 11, 323, 4680, 315, 10010, 358, 4880, 943, 304, 279, 1790, 11931, 5916, 1431, 13, 358, 9498, 429, 429, 421, 498, 614, 803, 4680, 389, 264, 9155, 7329, 432, 686, 1896, 803, 5344, 311, 6815, 279, 2504, 1221, 421, 279, 2504, 702, 279, 4680, 8865, 700, 323, 421, 498, 912, 803, 10010, 279, 4680, 686, 912, 323, 432, 686, 387, 1496, 803, 5344, 4362, 311, 6815, 279, 2504, 13, 425, 41801, 5452, 10953, 279, 1422, 292, 777, 5344, 36382, 320, 9834, 358, 67818, 429, 4969, 311, 320, 358, 1744, 593, 374, 8881, 553, 22266, 389, 279, 5452, 448, 23249, 22266, 279, 2504, 1495, 13, 356, 30239, 1035, 990, 4558, 902, 5344, 311, 6815, 264, 2504, 315, 7579, 3941, 9853, 1576, 432, 374, 1602, 10876, 773, 279, 5344, 4362, 311, 6815, 279, 2504, 686, 387, 911, 659, 16, 501, 34411, 817, 2504, 389, 279, 6884, 3108, 315, 279, 2504, 13, 13355, 8454, 3217, 220, 16, 20, 11, 220, 17, 15, 16, 17, 518, 220, 15, 18, 25, 16, 21, 5851, 24488, 7288, 3980, 7288, 43721, 220, 22, 24, 15, 198, 13355, 8454, 5813, 220, 17, 21, 11, 220, 17, 15, 16, 17, 518, 220, 15, 18, 25, 18, 19, 5851, 24488, 7288, 3980, 7288, 43721, 220, 23, 21, 22, 1446, 646, 2182, 264, 22674, 7055, 389, 220, 17, 33140, 1221, 498, 2182, 432, 320, 1782, 22674, 7055, 8, 2163, 279, 7406, 1221, 6815, 1182, 1221, 498, 1077, 432, 728, 311, 1739, 819, 10622, 432, 3941, 279, 6422, 13, 362, 1616, 311, 1281, 432, 10917, 438, 7988, 320, 279, 22674, 20892, 35473, 5344, 8, 374, 311, 1990, 705, 279, 10273, 261, 7055, 1221, 312, 2027, 266, 279, 6259, 1573, 13, 576, 4102, 6672, 1948, 3072, 323, 4680, 0, 1632, 3072, 21501, 13368, 2076, 1576, 23249, 21501, 3072, 1281, 287, 13368, 2076, 13355, 8454, 5813, 220, 17, 21, 11, 220, 17, 15, 16, 17, 518, 220, 15, 18, 25, 18, 19, 5851, 24488, 7288, 3980, 7288, 43721, 220, 23, 21, 22, 198, 13355, 8454, 5470, 220, 16, 18, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 18, 20, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 15, 24, 19, 730, 25, 358, 1414, 429, 2041, 293, 962, 550, 582, 1035, 537, 614, 9331, 476, 64949, 15833, 5942, 476, 4113, 1075, 1846, 2513, 429, 1184, 293, 962, 550, 13, 467, 25, 4329, 2513, 429, 358, 1366, 311, 3960, 911, 293, 962, 550, 525, 25, 220, 16, 13, 1246, 311, 1281, 825, 220, 17, 13, 1246, 311, 1490, 421, 358, 1410, 1281, 264, 1616, 2664, 825, 323, 220, 18, 13, 3170, 1052, 374, 83803, 6259, 304, 293, 962, 550, 444, 25, 358, 9498, 429, 8745, 1047, 614, 3746, 13621, 304, 1105, 311, 1281, 4802, 1576, 2041, 429, 432, 1035, 537, 975, 13, 358, 1083, 9498, 429, 8745, 1047, 614, 23285, 323, 48501, 304, 1105, 13, 13355, 8454, 5470, 220, 16, 18, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 18, 20, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 15, 24, 19, 198, 13355, 8454, 5470, 220, 16, 18, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 17, 15, 5851, 24488, 7288, 3980, 320, 16, 8, 7288, 43721, 220, 16, 19, 24, 20, 21018, 358, 1079, 264, 220, 21, 339, 1081, 998, 2087, 311, 36994, 580, 372, 6149, 2906, 358, 3887, 304, 264, 2613, 3753, 3265, 311, 2635, 6290, 6681, 13, 1416, 358, 1366, 311, 358, 646, 4227, 311, 279, 11321, 1790, 311, 847, 3753, 13, 362, 2421, 2513, 358, 1075, 525, 25, 19837, 847, 12963, 11, 5619, 2766, 3868, 323, 13960, 29755, 311, 847, 4780, 13, 576, 14878, 304, 2906, 358, 1075, 525, 8038, 11, 281, 1734, 2572, 323, 6888, 13, 358, 1079, 1083, 49416, 291, 304, 3550, 320, 9693, 429, 2409, 4287, 3166, 40036, 678, 2163, 601, 448, 1008, 32875, 323, 6259, 568, 663, 1862, 5020, 1753, 432, 773, 1661, 53041, 13, 13355, 8454, 5470, 220, 16, 18, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 17, 15, 5851, 24488, 7288, 3980, 320, 16, 8, 7288, 43721, 220, 16, 19, 24, 20, 198, 13355, 8454, 5470, 220, 20, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 18, 19, 5851, 24488, 7288, 3980, 7288, 43721, 220, 24, 18, 23, 569, 4026, 29088, 341, 4026, 17190, 25, 330, 18889, 1532, 12751, 876, 80728, 4026, 29088, 341, 4026, 17190, 25, 330, 54, 287, 24602, 876, 80728, 4026, 29088, 341, 4026, 17190, 25, 330, 48452, 2308, 13, 220, 17, 15, 876, 80728, 4026, 29088, 341, 4026, 17190, 25, 330, 129201, 31031, 125647, 125541, 63836, 125619, 1298, 467, 18, 876, 92, 79, 1321, 704, 12206, 11, 898, 1321, 704, 12206, 11, 3429, 1321, 704, 12206, 314, 4745, 25, 220, 15, 258, 220, 15, 258, 220, 15, 13, 15, 15, 15, 16, 417, 26, 3301, 7174, 25, 220, 16, 17, 417, 26, 3301, 17190, 25, 330, 18889, 1532, 12751, 5123, 335, 2005, 1321, 704, 12206, 2556, 314, 3301, 7174, 25, 220, 16, 15, 417, 26, 3301, 17190, 25, 330, 18889, 1532, 12751, 5123, 335, 611, 82920, 16, 314, 2150, 25, 11113, 16, 26, 335, 9319, 25, 1128, 525, 1493, 1635, 5461, 9319, 5866, 25, 220, 23, 13, 16, 17, 20, 13, 576, 23552, 304, 279, 3720, 3643, 3645, 448, 3015, 311, 1281, 55667, 23552, 320, 2982, 568, 81448, 580, 372, 64405, 702, 1012, 3730, 1632, 1496, 518, 264, 3347, 315, 911, 220, 21, 63597, 13, 14659, 25, 279, 5461, 374, 220, 21, 13, 18, 1319, 369, 419, 1042, 13, 220, 4102, 22, 374, 10526, 3015, 220, 16, 12, 21, 374, 83803, 220, 23, 12, 16, 19, 374, 65687, 482, 13, 3197, 2331, 323, 13621, 2525, 3786, 432, 3643, 374, 264, 8172, 13, 2350, 13352, 369, 6785, 34684, 13, 16608, 1075, 220, 21, 13, 20, 12, 22, 13, 8705, 4489, 487, 25, 279, 5461, 374, 304, 279, 220, 18, 15, 527, 315, 308, 24494, 748, 13, 308, 734, 11634, 13352, 369, 43864, 301, 23375, 13232, 4489, 487, 8153, 18079, 2578, 2548, 1128, 13232, 4489, 487, 374, 1632, 13232, 4489, 487, 374, 279, 6672, 1948, 2797, 3015, 323, 18595, 3015, 49516, 25188, 320, 574, 374, 847, 281, 615, 76, 962, 1648, 308, 21561, 973, 525, 2989, 1576, 807, 1492, 279, 17171, 4102, 323, 3015, 323, 19970, 323, 4297, 7, 9096, 419, 568, 1782, 5461, 369, 419, 1042, 304, 308, 21561, 973, 374, 220, 15, 13, 18, 419, 374, 1661, 1576, 7640, 2746, 304, 311, 1550, 315, 24691, 7698, 323, 773, 686, 1251, 10008, 70583, 1576, 311, 1753, 308, 21561, 973, 646, 5240, 13876, 6543, 8457, 476, 6303, 8770, 27339, 1141, 373, 3166, 8, 476, 56075, 75425, 3732, 320, 18654, 279, 1852, 3166, 568, 3303, 1645, 685, 25, 1096, 1635, 5461, 90903, 374, 220, 16, 13, 21, 13, 419, 374, 1661, 1576, 432, 39364, 5505, 279, 7640, 13, 3303, 1645, 685, 374, 1602, 7978, 436, 11483, 3166, 13, 3303, 1645, 685, 646, 387, 1730, 304, 1657, 15826, 16720, 13, 29588, 3303, 1645, 685, 374, 264, 1602, 1602, 1525, 11896, 1894, 1717, 14473, 13, 468, 332, 21990, 20285, 374, 264, 3166, 429, 374, 1602, 3873, 13, 362, 3166, 498, 653, 537, 1366, 311, 653, 374, 6514, 90903, 323, 82351, 320, 432, 646, 5505, 498, 8, 17091, 22452, 4379, 25, 498, 856, 3084, 856, 2374, 320, 258, 264, 14796, 8, 311, 633, 40899, 20044, 817, 2086, 320, 333, 1667, 429, 18662, 8, 659, 6396, 4379, 646, 387, 2989, 1576, 421, 7640, 646, 537, 10962, 1052, 18805, 1221, 807, 686, 2746, 700, 13, 576, 5461, 369, 4102, 6396, 4379, 374, 220, 16, 13, 20, 24, 18, 19, 296, 18, 2687, 320, 26610, 7646, 8, 37022, 25, 3015, 429, 374, 25600, 4990, 23327, 311, 8205, 705, 1091, 5538, 13, 1096, 1635, 5461, 3015, 2730, 374, 220, 18, 18, 13, 20, 282, 9151, 71, 632, 13, 576, 78891, 5461, 374, 220, 18, 22, 13, 20, 282, 9151, 71, 632, 13, 3776, 315, 279, 8426, 2730, 1932, 369, 7640, 374, 220, 24, 22, 28200, 282, 9151, 71, 632, 1380, 279, 7640, 686, 2746, 444, 13, 13355, 8454, 5470, 220, 20, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 18, 19, 5851, 24488, 7288, 3980, 7288, 43721, 220, 24, 18, 23, 198, 13355, 8454, 6058, 220, 18, 15, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 16, 21, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 16, 16, 16, 3197, 358, 3937, 311, 279, 1992, 1790, 311, 11794, 64405, 358, 572, 2167, 51283, 311, 6008, 12408, 13, 979, 582, 3855, 358, 1730, 700, 429, 432, 572, 1753, 15750, 311, 6008, 12408, 1221, 358, 3381, 13, 1205, 1083, 1730, 10077, 315, 61900, 323, 582, 2182, 1105, 1790, 311, 279, 12408, 311, 1492, 279, 17171, 13, 13355, 8454, 6058, 220, 18, 15, 11, 220, 17, 15, 16, 17, 518, 220, 15, 19, 25, 16, 21, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 16, 16, 16, 198, 13355, 8454, 6702, 220, 17, 16, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 18, 19, 5851, 24488, 7288, 3980, 320, 17, 8, 7288, 43721, 220, 16, 23, 20, 20, 419, 374, 279, 2664, 2766, 9189, 1588, 13, 13355, 8454, 6702, 220, 17, 16, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 18, 19, 5851, 24488, 7288, 3980, 320, 17, 8, 7288, 43721, 220, 16, 23, 20, 20, 198, 13355, 8454, 6702, 220, 22, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 17, 17, 5851, 24488, 7288, 3980, 320, 16, 8, 7288, 43721, 220, 16, 22, 17, 22, 758, 1045, 1008, 25659, 358, 8542, 9185, 304, 419, 5010, 358, 686, 3291, 498, 892, 64405, 16548, 2664, 13753, 26208, 476, 36994, 580, 372, 13, 8325, 847, 9185, 1035, 3076, 429, 36994, 580, 372, 16548, 220, 17, 3501, 1576, 1136, 27988, 525, 5802, 220, 17, 3501, 13, 714, 15019, 398, 1008, 1251, 1730, 803, 22551, 1075, 1231, 21642, 82, 323, 9798, 21642, 82, 429, 525, 5802, 803, 13, 36994, 580, 372, 16548, 220, 17, 16, 3501, 2790, 13, 1597, 13753, 26208, 64405, 16548, 220, 17, 20, 3501, 2790, 13, 773, 429, 3363, 13753, 26208, 64405, 374, 264, 2632, 2699, 31881, 13, 432, 1083, 3363, 429, 582, 614, 13581, 1661, 3015, 4271, 323, 13753, 26208, 64405, 702, 13581, 505, 301, 306, 3015, 4271, 13, 13355, 8454, 6702, 220, 22, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 17, 17, 5851, 24488, 7288, 3980, 320, 16, 8, 7288, 43721, 220, 16, 22, 17, 22, 198, 13355, 8454, 6702, 220, 22, 11, 220, 17, 15, 15, 24, 518, 220, 15, 21, 25, 15, 15, 6769, 24488, 7288, 3980, 7288, 43721, 220, 16, 21, 18, 24, 419, 374, 264, 6802, 315, 264, 7218, 1136, 661, 13, 419, 374, 2441, 7218, 1136, 661, 13, 1493, 525, 5802, 220, 18, 3501, 504, 1039, 700, 6006, 6731, 2025, 892, 16548, 1667, 1246, 311, 385, 7976, 220, 4102, 1782, 9876, 572, 311, 24761, 13, 1052, 374, 220, 19, 2155, 5203, 220, 16, 6403, 22072, 306, 11, 220, 17, 13, 14400, 71629, 306, 11, 220, 4102, 18, 514, 316, 80475, 14885, 306, 11, 220, 19, 13, 1602, 14885, 306, 419, 374, 2441, 949, 315, 847, 1008, 18072, 5010, 892, 1083, 1030, 264, 1136, 661, 714, 432, 572, 5593, 13, 13355, 8454, 6702, 220, 22, 11, 220, 17, 15, 15, 24, 518, 220, 15, 21, 25, 15, 15, 6769, 24488, 7288, 3980, 7288, 43721, 220, 16, 21, 18, 24, 198, 13355, 8454, 6702, 220, 17, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 16, 21, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 21, 24, 21, 419, 374, 264, 6548, 315, 264, 5593, 1136, 661, 600, 1730, 304, 36994, 580, 372, 64405, 13, 17091, 9339, 369, 5290, 323, 3330, 13, 13355, 8454, 6702, 220, 17, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 16, 21, 5851, 24488, 7288, 3980, 7288, 43721, 220, 16, 21, 24, 21, 198, 13355, 8454, 6527, 220, 17, 15, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 18, 20, 5851, 24488, 7288, 3980, 320, 16, 8, 7288, 43721, 220, 16, 23, 20, 24, 220, 16, 75141, 374, 3015, 24761, 30, 1632, 432, 594, 46710, 315, 3015, 12866, 1741, 438, 43136, 11, 35517, 11, 53180, 11, 4910, 3015, 11, 76494, 13, 220, 17, 75141, 525, 1045, 8173, 315, 3015, 24761, 30, 8325, 220, 16, 19, 7094, 16302, 315, 25878, 374, 1660, 48273, 1119, 279, 53180, 1449, 1042, 13, 13293, 2530, 374, 34059, 11, 59696, 4699, 11, 12291, 6380, 10779, 11, 76494, 13, 220, 18, 75141, 525, 279, 15917, 315, 3015, 24761, 30, 8325, 432, 646, 387, 51957, 369, 2176, 12677, 323, 279, 24982, 659, 16, 19, 11, 15, 15, 15, 12677, 525, 15691, 504, 3015, 30996, 18808, 1449, 1899, 0, 9959, 24761, 6239, 279, 11483, 323, 6961, 5888, 315, 3015, 67264, 287, 279, 2272, 3042, 4766, 279, 3015, 13, 220, 19, 75141, 646, 582, 653, 311, 7269, 3015, 4271, 13, 8325, 582, 646, 6541, 2686, 1576, 279, 24761, 504, 279, 6819, 374, 633, 287, 1119, 279, 3015, 13, 13293, 1616, 374, 311, 2936, 1667, 25266, 1075, 83573, 323, 38899, 14502, 1576, 807, 633, 1119, 1039, 3015, 7085, 10607, 432, 13, 220, 20, 75141, 646, 498, 653, 311, 5358, 3015, 504, 1660, 94769, 30, 3776, 3166, 311, 653, 374, 27390, 315, 1483, 5590, 11, 3196, 333, 27633, 11, 56848, 11, 76494, 13, 10277, 892, 3363, 537, 304, 22352, 388, 476, 78650, 13, 13293, 3166, 311, 653, 374, 614, 697, 511, 26235, 1849, 508, 333, 498, 614, 825, 60, 61784, 323, 61354, 1449, 2326, 311, 4236, 1635, 13, 3776, 1537, 3166, 311, 653, 374, 7627, 13732, 4040, 70, 805, 323, 74865, 429, 525, 3347, 304, 31988, 20244, 311, 7949, 279, 24761, 6396, 23593, 1119, 1039, 3015, 13, 13355, 8454, 6527, 220, 17, 15, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 18, 20, 5851, 24488, 7288, 3980, 320, 16, 8, 7288, 43721, 220, 16, 23, 20, 24, 198, 13355, 8454, 6527, 220, 18, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 17, 22, 5851, 24488, 7288, 3980, 320, 22, 8, 7288, 43721, 220, 17, 22, 19, 15, 220, 16, 13, 358, 10689, 66222, 220, 17, 13, 358, 8909, 31556, 220, 18, 13, 358, 1079, 264, 8171, 220, 19, 13, 3017, 8109, 374, 34563, 220, 20, 13, 7496, 315, 847, 4780, 525, 7785, 220, 21, 13, 4329, 8713, 18253, 27027, 847, 4780, 8, 220, 22, 13, 358, 1079, 537, 1602, 1661, 518, 5001, 705, 448, 6708, 13355, 8454, 6527, 220, 18, 11, 220, 17, 15, 16, 16, 518, 220, 15, 19, 25, 17, 22, 5851, 24488, 7288, 3980, 320, 22, 8, 7288, 43721, 220, 17, 22, 19, 15, 198, 28913, 65193, 2009, 65193, 19070, 9238, 2009, 84387 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10, 15, 271, 15, 198, 16, 198, 17, 23, 21, 198, 16, 198, 10, 19, 271, 16, 9046, 279, 7071, 311, 4226, 279, 4755, 382, 2877, 8, 4102, 840, 20772, 3170, 279, 42446, 525, 4428, 382, 1883, 8, 7379, 279, 897, 315, 379, 13, 6928, 697, 975, 271, 17, 13, 46613, 68, 374, 3259, 264, 37799, 553, 50413, 49359, 36023, 1119, 264, 28461, 304, 279, 6083, 315, 264, 22161, 13, 576, 10578, 315, 279, 2331, 315, 279, 22161, 374, 220, 17, 304, 323, 279, 2608, 315, 279, 22161, 374, 220, 23, 304, 13, 2014, 633, 279, 36023, 369, 279, 37799, 11, 46613, 68, 98091, 10010, 315, 36023, 429, 525, 1817, 220, 16, 304, 553, 220, 16, 304, 553, 220, 17, 304, 13, 2585, 1657, 315, 279, 36023, 54104, 686, 46613, 68, 1184, 304, 1973, 311, 1281, 279, 37799, 30, 6928, 697, 975, 382, 47586, 35641, 220, 4102, 35590, 220, 16, 21, 11, 220, 17, 15, 16, 22, 198, 10231, 1447, 2, 16, 198, 10, 21, 24, 20, 19, 198, 10, 17, 271, 16, 382, 2877, 692, 12549, 9238, 11995, 254, 34, 284, 11995, 254, 50, 4102, 1154, 1493, 42446, 525, 4428, 11551, 271, 14085, 59, 37018, 90, 18, 15, 15170, 19, 20, 92, 34433, 37018, 90, 16, 21, 15170, 17, 19, 92, 24984, 93, 3422, 1124, 37018, 90, 18, 15, 59, 26266, 611, 59, 11, 16, 20, 15170, 19, 20, 59, 26266, 611, 59, 11, 16, 20, 92, 34433, 37018, 90, 16, 21, 59, 26266, 611, 59, 11, 23, 15170, 17, 19, 59, 26266, 611, 59, 11, 23, 92, 24984, 93, 3422, 1124, 37018, 17, 18, 34433, 37018, 17, 18, 59, 80, 31610, 59, 1318, 90, 1866, 92, 14085, 271, 4416, 11, 1493, 42446, 525, 4428, 382, 1883, 692, 12549, 1493, 42446, 525, 4428, 2146, 14085, 59, 37018, 90, 88, 15170, 16, 19, 92, 34433, 37018, 90, 18, 15, 15170, 16, 21, 92, 24984, 93, 3422, 379, 34433, 37018, 90, 18, 15, 15170, 16, 21, 11035, 28007, 59, 11, 16, 19, 24984, 93, 3422, 379, 28, 17, 21, 13, 17, 20, 14085, 271, 17, 382, 25060, 315, 22161, 4102, 284, 4102, 320, 16, 14, 18, 8, 353, 320, 2493, 353, 10578, 17, 8, 353, 320, 2563, 692, 28, 4102, 320, 16, 14, 18, 8, 353, 320, 2493, 353, 220, 17, 17, 8, 353, 320, 23, 692, 28, 4102, 320, 16, 14, 18, 8, 353, 8938, 353, 220, 19, 353, 220, 23, 271, 28, 4102, 220, 18, 17, 2493, 608, 220, 18, 45449, 45449, 40899, 14924, 271, 25060, 315, 2504, 220, 4102, 28, 4102, 3084, 353, 2374, 353, 2608, 271, 28, 4102, 220, 16, 353, 220, 16, 353, 220, 17, 271, 28, 4102, 220, 17, 45449, 45449, 45449, 4102, 40899, 14924, 271, 4340, 1657, 10010, 4946, 1119, 279, 22161, 1939, 4340, 1657, 9238, 220, 17, 40899, 14924, 9238, 4946, 1119, 45393, 220, 18, 17, 2493, 608, 220, 18, 4102, 66, 41181, 14924, 23754, 14085, 59, 37018, 90, 18, 17, 59, 2493, 15170, 18, 11035, 26266, 611, 59, 11, 17, 1124, 11, 34433, 26266, 37018, 90, 18, 17, 59, 2493, 15170, 18, 11035, 28007, 59, 26266, 37018, 16, 17, 59, 11, 34433, 26266, 37018, 90, 18, 17, 59, 2493, 15170, 21, 11035, 26266, 48053, 59, 11, 16, 21, 13, 22, 20, 20, 14085, 271, 383, 302, 849, 277, 220, 4102, 35590, 220, 16, 21, 11, 220, 17, 15, 16, 22, 271, 14374, 220, 16, 16, 8105, 14627, 271, 1654, 990, 8279, 311, 4345, 1064, 2213, 323, 13740, 11, 311, 3410, 3590, 3687, 4419, 323, 311, 48486, 1039, 9442, 13, 1205, 1083, 4332, 1995, 911, 697, 990, 315, 1039, 2747, 448, 1039, 3590, 3687, 11, 12876, 323, 27875, 8549, 13, 220, 4102, 9830, 3565 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 56647, 2056, 8317, 729, 271, 641, 279, 3403, 16224, 502, 1155, 11730, 84, 1155, 8, 32, 11, 1380, 575, 1155, 8, 374, 279, 3019, 729, 13, 1863, 374, 264, 3692, 2899, 37268, 1849, 448, 902, 9489, 7332, 323, 678, 2856, 2750, 7168, 13, 576, 5795, 374, 311, 1477, 279, 8317, 729, 1863, 1141, 3593, 4416, 358, 1744, 358, 1414, 279, 8317, 729, 1588, 374, 279, 23410, 26536, 5165, 315, 279, 2550, 17779, 553, 279, 23410, 26536, 5165, 315, 279, 1946, 13, 576, 2550, 1660, 575, 16, 1155, 8, 323, 1946, 1660, 502, 1155, 568, 575, 16, 1155, 8, 374, 1083, 1863, 54045, 1155, 8, 323, 279, 23410, 26536, 5165, 1863, 1141, 4806, 16, 2687, 13, 576, 23410, 26536, 5165, 315, 279, 1946, 374, 220, 16, 2687, 13, 2055, 1667, 279, 23606, 369, 279, 8317, 729, 320, 57, 1141, 4806, 16, 2687, 5620, 16, 2687, 498, 633, 1863, 1141, 701, 892, 1558, 537, 2803, 1290, 518, 678, 13, 3555, 1079, 358, 7402, 1588, 1939, 785, 5795, 374, 311, 1477, 279, 8317, 729, 1863, 1141, 3593, 57, 374, 264, 3692, 2899, 37268, 1849, 448, 902, 9489, 7332, 271, 785, 8317, 729, 374, 9489, 315, 279, 1946, 773, 279, 2097, 429, 432, 374, 264, 1482, 3019, 374, 39715, 382, 4416, 279, 1172, 1995, 498, 614, 311, 3158, 279, 8317, 729, 374, 279, 2550, 21720, 323, 279, 1946, 1482, 13, 576, 11341, 1221, 374, 458, 89948, 1863, 1141, 11730, 57, 382, 1986, 498, 614, 23933, 438, 25, 26107, 57, 1141, 11730, 59, 37018, 90, 52, 16, 15159, 411, 25547, 82, 9139, 90, 41, 15159, 258, 25547, 82, 9139, 28, 57, 14085, 271, 40, 1744, 498, 525, 7402, 279, 2097, 429, 498, 614, 279, 1290, 4226, 13, 70894, 429, 279, 89948, 315, 894, 27879, 2392, 374, 279, 8317, 729, 315, 279, 2392, 1380, 21720, 374, 279, 2550, 323, 1482, 374, 279, 1946, 382, 6667, 8670, 429, 594, 7040, 13, 36870, 5530, 1431, 27409, 13, 8278, 3166, 429, 358, 1513, 944, 3535, 374, 1246, 498, 3270, 279, 23606, 369, 279, 8317, 729, 13, 358, 614, 2581, 3884, 259, 1141, 8, 476, 308, 1141, 8, 1573, 11, 773, 358, 2776, 3093, 315, 21815, 389, 429, 13, 12255, 291, 13498, 220, 23, 518, 220, 17, 15, 25, 15, 18, 198, 6667, 4599, 1045, 14317, 12264, 448, 4149, 41, 706, 13, 576, 23606, 1265, 1281, 803, 5530, 1431, 13, 569, 87860, 33, 12255, 291, 13498, 220, 23, 518, 220, 17, 15, 25, 15, 21, 198, 6667, 8670, 27409, 13, 11114, 369, 279, 1492, 569, 77970, 613, 39, 12255, 291, 13498, 220, 23, 518, 220, 17, 17, 25, 16, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 14582, 271, 4498, 9904, 315, 14961, 24691, 7698, 323, 61175, 81782, 525, 9519, 11, 14961, 81782, 35741, 81729, 700, 315, 6291, 2146, 4498, 9904, 315, 14961, 24691, 7698, 323, 61175, 81782, 525, 9519, 11, 14961, 81782, 35741, 81729, 700, 315, 6291, 4092, 311, 279, 23606, 4598, 8996, 18, 2877, 80, 7257, 42, 5066, 2877, 80, 8, 51018, 9042, 5066, 1141, 7257, 42, 8996, 18, 2877, 80, 3593, 32, 8, 3555, 3072, 315, 14961, 81782, 646, 387, 8947, 504, 220, 16, 13, 24, 15, 444, 315, 264, 220, 15, 13, 16, 18, 18, 386, 6291, 315, 14961, 24691, 7698, 1939, 33, 8, 576, 12720, 7481, 304, 3660, 362, 2567, 220, 18, 13, 21, 22, 444, 315, 61175, 81782, 13, 3555, 374, 279, 19950, 315, 419, 61175, 81782, 6291, 1939, 32, 692, 4082, 315, 4544, 642, 315, 4598, 8996, 18, 284, 386, 4346, 70, 8996, 18, 4806, 53, 4346, 70, 8996, 18, 692, 28, 220, 15, 13, 16, 18, 18, 386, 353, 220, 16, 13, 24, 15, 444, 271, 28, 220, 15, 13, 17, 20, 17, 22, 21609, 271, 1499, 12720, 3554, 44344, 315, 4598, 5066, 14122, 284, 21609, 315, 4598, 8996, 18, 54741, 271, 28, 220, 15, 13, 17, 20, 17, 22, 21609, 271, 44, 7417, 3072, 315, 4598, 5066, 3554, 8035, 284, 220, 16, 9, 8035, 4346, 70, 8, 488, 220, 16, 9, 8035, 43644, 692, 28, 220, 16, 9, 16, 15, 22, 13, 24, 488, 220, 16, 9, 18, 20, 13, 19, 20, 271, 28, 220, 16, 19, 18, 13, 18, 20, 342, 38871, 271, 810, 1447, 26331, 315, 4598, 5066, 3554, 76, 284, 1372, 315, 21609, 353, 296, 7417, 3072, 271, 28, 220, 15, 13, 17, 20, 17, 22, 21609, 353, 220, 16, 13, 19, 18, 19, 9, 16, 15, 61, 17, 342, 38871, 271, 28, 220, 18, 21, 13, 17, 17, 342, 271, 33, 692, 3830, 12720, 3554, 44344, 315, 730, 5066, 54741, 284, 21609, 315, 4598, 8996, 18, 14122, 271, 28, 220, 15, 13, 17, 20, 17, 22, 21609, 271, 7039, 990, 1447, 44344, 315, 730, 5066, 284, 386, 16738, 5066, 4806, 53, 16738, 5066, 692, 15, 13, 17, 20, 17, 22, 21609, 284, 386, 16738, 5066, 8, 353, 220, 18, 13, 21, 22, 444, 271, 44, 16738, 5066, 8, 284, 220, 15, 13, 15, 21, 23, 24, 386 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 785, 55530, 1637, 374, 7248, 553, 279, 1657, 27671, 32049, 311, 279, 55530, 1637, 5007, 382, 472, 21042, 320, 91786, 504, 576, 1913, 91536, 67098, 315, 4440, 24811, 2380, 27584, 362, 15, 15, 21, 18, 19, 20, 8564, 355, 8500, 25, 264, 1445, 8, 330, 8960, 82, 279, 5383, 1, 553, 30426, 279, 22032, 34617, 20525, 13, 320, 30845, 398, 386, 15, 15, 22, 19, 8, 220, 24, 198, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 17, 11, 220, 17, 11, 220, 16, 11, 220, 17, 320, 1607, 26, 4771, 26, 43143, 26, 8844, 26, 3840, 26, 1467, 26, 5306, 3561, 340, 48104, 220, 16, 11, 17, 94742, 2014, 1477, 264, 1445, 701, 2908, 2987, 264, 220, 16, 476, 264, 220, 17, 13, 1752, 1817, 11, 1477, 279, 22032, 11504, 20525, 11, 429, 374, 11, 369, 1817, 315, 264, 1445, 11730, 16, 11, 17, 11, 1477, 279, 22032, 8500, 274, 448, 279, 3343, 429, 279, 8500, 264, 7, 16, 701, 39768, 64, 1445, 8, 10335, 448, 10870, 13, 5443, 279, 15723, 429, 3059, 304, 279, 23327, 1741, 20525, 13, 264, 7, 16, 8, 284, 220, 16, 13, 576, 4287, 8500, 315, 3084, 220, 15, 374, 279, 39143, 3204, 20525, 323, 374, 35647, 398, 34617, 13, 7036, 429, 419, 3171, 944, 1102, 304, 6896, 8564, 355, 594, 11454, 13, 481, 730, 13, 64546, 11, 595, 2396, 8506, 82273, 54108, 337, 905, 1913, 5461, 11, 432, 4977, 429, 29083, 315, 220, 16, 82, 705, 311, 308, 8, 481, 29083, 315, 220, 17, 82, 705, 311, 308, 8, 1464, 54910, 438, 308, 1464, 54910, 320, 300, 506, 12531, 308, 11843, 701, 1393, 279, 96254, 14212, 17457, 315, 2987, 220, 16, 82, 476, 220, 17, 82, 7952, 311, 387, 220, 16, 14, 17, 13, 481, 15118, 69575, 1137, 11, 2876, 220, 15, 16, 220, 17, 15, 16, 22, 78656, 451, 13, 328, 13, 92793, 12429, 11, 26659, 311, 451, 13, 619, 13, 362, 13, 25603, 2145, 320, 16, 24, 22, 23, 568, 451, 13, 619, 13, 362, 13, 25603, 2145, 323, 21315, 1818, 283, 27969, 11, 576, 67098, 315, 4440, 24811, 2380, 11, 41070, 8445, 11, 220, 16, 24, 24, 20, 320, 14526, 419, 8500, 568, 40491, 50, 350, 13, 422, 13, 2308, 68, 11, 8397, 6778, 323, 51094, 5242, 2694, 8677, 268, 11, 6633, 315, 308, 11, 264, 1445, 8, 369, 308, 284, 220, 16, 496, 20, 15, 15, 15, 15, 320, 16, 496, 16, 15, 15, 15, 504, 350, 13, 422, 13, 2308, 68, 11, 220, 16, 15, 15, 16, 496, 17, 15, 15, 15, 15, 504, 8397, 6778, 8, 393, 13, 19420, 1571, 11, 328, 13, 26832, 1579, 363, 11, 362, 13, 78645, 277, 11, 576, 8564, 355, 8500, 11, 4968, 1350, 3217, 220, 17, 15, 15, 22, 26, 1198, 6863, 850, 1211, 11, 86639, 323, 45779, 11, 20265, 220, 16, 24, 11, 25226, 220, 16, 6058, 220, 17, 15, 16, 15, 1154, 11823, 13, 220, 17, 16, 12, 19, 21, 496, 451, 13, 92793, 12429, 11, 26659, 311, 451, 13, 619, 13, 362, 13, 25603, 2145, 11, 220, 16, 24, 22, 23, 451, 13, 92793, 12429, 11, 386, 13, 56629, 11, 609, 328, 13, 13509, 11, 50942, 763, 5435, 311, 279, 8564, 355, 323, 52291, 23700, 11, 220, 16, 24, 22, 22, 451, 13, 619, 13, 362, 13, 25603, 2145, 11, 38054, 367, 315, 2856, 3793, 16247, 1205, 285, 12429, 594, 4337, 315, 49795, 11, 8564, 355, 28871, 13, 66246, 4636, 220, 16, 11, 17, 11, 16, 11, 16, 11, 17, 11, 17, 11, 16, 11, 17, 11, 421, 582, 2182, 264, 220, 16, 11, 279, 20525, 314, 17, 11, 16, 92, 43594, 11, 714, 421, 582, 2182, 264, 220, 17, 279, 5021, 20525, 314, 16, 11, 17, 11, 17, 92, 43594, 11, 773, 279, 1790, 4647, 374, 220, 16, 13, 27223, 867, 71536, 14209, 13674, 4957, 8, 2205, 356, 2844, 11, 435, 11, 296, 26, 356, 2844, 14209, 28152, 3, 16, 496, 30449, 1445, 3721, 4957, 5620, 17, 9139, 26, 435, 14209, 220, 15, 26, 369, 296, 504, 220, 16, 1393, 308, 3721, 3025, 2844, 8, 861, 220, 15, 653, 356, 2844, 14209, 3293, 1337, 1464, 444, 7609, 76, 60, 284, 444, 7609, 66, 1448, 1125, 356, 2844, 1215, 421, 1308, 3025, 2844, 8, 284, 296, 1221, 435, 14209, 296, 26, 356, 2844, 14209, 5147, 1255, 27980, 11, 356, 2844, 1215, 9136, 10785, 26, 435, 835, 13674, 25, 362, 14209, 220, 16, 25, 369, 308, 504, 220, 17, 311, 220, 16, 15, 61, 18, 653, 421, 71536, 2561, 32, 11, 220, 16, 2467, 366, 71536, 2561, 32, 11, 220, 17, 2467, 1221, 362, 14209, 362, 11, 220, 16, 770, 362, 14209, 362, 11, 220, 17, 9136, 26, 10785, 25, 12981, 4346, 989, 1125, 600, 28, 16, 496, 16, 15, 61, 18, 1215, 671, 8397, 6778, 11, 11782, 220, 17, 17, 220, 17, 15, 16, 20, 24795, 1799, 56889, 31001, 264, 58, 16, 4833, 16, 26, 264, 58, 17, 4833, 17, 26, 20525, 16871, 267, 74827, 1669, 1416, 58, 8331, 48, 16871, 267, 11, 314, 5973, 11, 293, 10445, 293, 563, 72441, 18845, 14751, 314, 5973, 11, 293, 10445, 293, 563, 92, 549, 29, 314, 65, 2137, 4687, 5265, 264, 7669, 74827, 1669, 264, 7669, 60, 284, 13711, 52108, 5305, 11, 26088, 16, 11, 26088, 17, 2137, 29009, 284, 2910, 15481, 11, 308, 12, 16, 5265, 26088, 16, 284, 20525, 58, 23877, 58, 5305, 11, 220, 16, 5053, 442, 17287, 26, 26088, 17, 284, 20525, 58, 23877, 58, 5305, 11, 220, 17, 5053, 442, 17287, 26, 1416, 58, 11819, 16, 2651, 26088, 17, 11, 220, 16, 11, 220, 17, 97829, 6633, 15481, 7669, 1125, 314, 77, 11, 220, 16, 11, 220, 16, 15, 20, 25439, 4609, 19685, 7276, 6576, 67353, 1674, 3688, 11, 3714, 220, 16, 16, 220, 17, 15, 16, 19, 2586, 5308, 38, 320, 94471, 8, 481, 273, 364, 1350, 65039, 4950, 28, 18, 334, 11884, 4908, 2376, 6138, 59, 16, 59, 17034, 30529, 3, 17, 1958, 11520, 6401, 8, 87, 24, 24, 6, 320, 69451, 472, 26156, 14, 29590, 34452, 1076, 8, 508, 2082, 3110, 315, 44432, 19120, 287, 25, 990, 438, 2421, 320, 792, 8, 267, 55037, 438, 3204, 60, 320, 47, 16028, 8, 314, 64, 1445, 11730, 2438, 4346, 11, 259, 1215, 421, 1445, 27, 17, 11, 308, 29, 15, 11, 362, 5818, 16, 5265, 369, 1956, 28, 17, 11, 308, 11, 369, 9520, 3325, 21397, 59, 17, 12, 16, 11, 220, 15, 11, 481, 16, 11, 369, 5969, 28, 16, 11, 502, 11, 421, 4346, 989, 13333, 12646, 12, 16, 36907, 32, 989, 12646, 1125, 1790, 7, 17, 47563, 259, 45612, 26, 1438, 1215, 362, 28, 20164, 4346, 11, 508, 18, 6691, 989, 2385, 12, 16, 5053, 5905, 362, 7669, 2467, 92, 1391, 7937, 17564, 436, 11, 3217, 220, 15, 19, 220, 17, 15, 15, 21, 639, 12255, 389, 37614, 419, 8500, 323, 362, 15, 15, 21, 18, 19, 21, 448, 44432, 11, 504, 51094, 5242, 2694, 8677, 268, 11, 11782, 220, 17, 18, 220, 17, 15, 16, 20, 25, 320, 3479, 8, 576, 5486, 358, 1483, 572, 311, 1896, 9423, 315, 44432, 594, 5792, 7493, 16928, 11, 33256, 448, 279, 48703, 429, 44432, 646, 29436, 12624, 77119, 311, 279, 1191, 3041, 2664, 1091, 1846, 77119, 311, 279, 835, 481, 75183, 279, 914, 311, 2138, 429, 6551, 264, 4628, 454, 315, 3807, 10163, 315, 25621, 25, 847, 32882, 917, 284, 35466, 15723, 492, 16, 516, 220, 15, 1215, 369, 320, 17, 5241, 32882, 9506, 8, 314, 847, 93986, 30624, 11, 32882, 34934, 8, 284, 19788, 3, 917, 20495, 296, 90, 6306, 29465, 3764, 11743, 16, 17, 2467, 1124, 16, 335, 87, 8, 476, 2746, 26, 15723, 93986, 34934, 8939, 364, 16, 6, 937, 364, 17, 6, 549, 364, 16, 516, 3084, 93986, 30624, 8, 488, 220, 16, 1215, 335, 1186, 15723, 314, 847, 93986, 34934, 11, 32882, 30624, 8, 284, 569, 23182, 32882, 917, 284, 32882, 34934, 659, 32882, 917, 26, 671, 308, 362, 21, 18, 19, 20, 1445, 8, 362, 21, 18, 19, 21, 1445, 8, 4100, 5962, 82, 1018, 82, 1018, 82, 1699, 497, 3084, 93986, 917, 701, 32882, 34934, 11, 32882, 30624, 26, 335, 1096, 4990, 911, 220, 19, 20, 82, 311, 11047, 220, 20, 15, 15, 15, 15, 3793, 315, 2176, 23700, 13, 320, 3727, 8, 97773, 5996, 50, 89894, 13, 362, 15, 15, 21, 18, 19, 21, 11, 362, 15, 24, 19, 23, 19, 15, 11, 362, 16, 20, 22, 17, 18, 23, 320, 32, 15, 15, 21, 18, 19, 20, 1445, 8, 481, 220, 16, 568, 28871, 304, 2266, 25, 362, 17, 15, 17, 18, 19, 15, 362, 15, 19, 24, 22, 15, 20, 362, 15, 21, 15, 17, 18, 21, 353, 362, 16, 17, 17, 19, 24, 22, 362, 18, 20, 15, 18, 18, 15, 362, 16, 20, 19, 19, 15, 17, 62916, 18181, 23700, 25, 362, 15, 15, 21, 18, 19, 17, 362, 15, 15, 21, 18, 19, 18, 362, 15, 15, 21, 18, 19, 19, 353, 362, 15, 15, 21, 18, 19, 21, 362, 15, 15, 21, 18, 19, 22, 362, 15, 15, 21, 18, 19, 23, 12013, 7227, 2477, 77, 22563, 6405, 10128, 558, 40809, 451, 13, 619, 13, 362, 13, 25603, 2145, 33757, 84722, 4398, 3793, 504, 12812, 2267, 8698, 36900, 2072, 11, 3217, 220, 17, 16, 220, 17, 15, 15, 16, 23208, 6042, 504, 22586, 21071, 11, 3714, 220, 18, 16, 220, 17, 15, 15, 18, 24014, 11792, 271, 34247, 760, 20166, 760, 29228, 760, 8451, 760, 10717, 760, 26033, 220, 17, 760, 4724, 436, 760, 8008, 760, 41712, 760, 4398, 760, 4895, 25406, 198, 1109, 2199, 501, 12981, 13, 476, 3980, 760, 15042, 760, 11913, 27741, 760, 4058, 9807, 760, 7297, 25713, 261, 760, 4067, 805, 198, 785, 55530, 1637, 12062, 760, 42887, 2627, 553, 576, 55530, 1637, 5007, 4848, 382, 5842, 10807, 5534, 220, 18, 220, 16, 20, 25, 18, 21, 47923, 220, 17, 15, 17, 18, 13, 30811, 220, 18, 21, 18, 16, 16, 21, 23700, 13, 320, 18990, 389, 68383, 285, 19, 6138 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 72606, 16, 19, 22, 271, 14374, 5470, 220, 17, 23, 11, 220, 17, 15, 16, 22, 271, 1654, 614, 6966, 518, 4194, 1372, 43063, 304, 3807, 3681, 22932, 11, 714, 1429, 315, 1105, 5927, 25780, 13, 758, 3351, 748, 10158, 582, 1401, 518, 264, 4285, 4194, 1372, 13823, 429, 4675, 19057, 16574, 5109, 13, 576, 13823, 374, 4285, 25, 16246, 264, 10320, 1948, 7168, 323, 825, 11, 279, 1790, 1372, 304, 279, 8500, 374, 279, 68209, 13348, 315, 220, 16, 19, 22, 3039, 279, 10320, 382, 7771, 3383, 374, 311, 4211, 279, 4194, 1372, 13823, 7481, 3403, 11, 323, 311, 8552, 1181, 80628, 13, 3197, 498, 525, 8060, 11, 498, 525, 10565, 311, 1349, 476, 1598, 264, 11827, 6291, 11, 476, 311, 1736, 697, 1828, 6291, 476, 4263, 279, 10158, 304, 279, 6042, 3685, 382, 17713, 25, 220, 16, 220, 17, 271, 14374, 220, 19, 80467, 311, 1036, 49, 6140, 16, 19, 22, 7511, 16, 13, 47121, 1389, 1053, 271, 641, 10135, 220, 18, 271, 73594, 750, 28422, 16, 19, 22, 44163, 982, 3472, 3007, 510, 29696, 10320, 198, 22602, 284, 320, 16, 19, 22, 13, 15, 353, 10320, 8, 1018, 220, 16, 13, 15, 271, 81, 284, 28422, 16, 19, 22, 7, 15, 13, 16, 17, 18, 19, 692, 1958, 348, 304, 2088, 7, 16, 15, 982, 1350, 16913, 2601, 1171, 13874, 3989, 17, 13, 25124, 1053, 271, 7771, 57668, 14068, 1172, 10797, 279, 3491, 17920, 26, 1430, 94415, 448, 8938, 14, 21, 320, 277, 4837, 258, 315, 220, 16, 14, 17, 3593, 36842, 304, 62176, 11, 1667, 279, 9203, 6328, 369, 20975, 23809, 11469, 1447, 73594, 4352, 4697, 1380, 271, 474, 1843, 2885, 35571, 220, 320, 2593, 1305, 474, 1843, 2885, 33308, 320, 3027, 340, 474, 14988, 2885, 33308, 438, 328, 271, 69890, 16, 19, 22, 3504, 7093, 1464, 9203, 7093, 198, 69890, 16, 19, 22, 284, 328, 19471, 349, 19788, 87, 1464, 320, 16, 19, 22, 353, 856, 8, 1565, 2593, 6, 63, 220, 16, 692, 3817, 3504, 6429, 12668, 3817, 284, 2415, 44, 62, 1173, 659, 328, 40161, 220, 16, 15, 659, 28422, 16, 19, 22, 32882, 8938, 608, 220, 16, 15, 198, 13874, 3989, 18, 13, 62288, 2425, 1053, 271, 8420, 748, 2441, 62176, 2319, 13, 3085, 458, 7546, 5693, 11, 308, 11, 432, 23473, 279, 1156, 308, 4194, 5109, 13, 3085, 902, 5977, 432, 32722, 279, 4269, 315, 4194, 54864, 642, 1119, 264, 4269, 315, 220, 18, 17, 15257, 3774, 25780, 13, 576, 7428, 374, 311, 5395, 429, 7868, 821, 311, 279, 2746, 18703, 261, 2025, 11, 892, 66249, 1181, 86690, 13, 1205, 1513, 1405, 1281, 990, 315, 678, 279, 9472, 304, 279, 7093, 26, 432, 748, 1101, 458, 4135, 1616, 315, 3709, 279, 821, 311, 2746, 18703, 261, 304, 264, 1352, 429, 432, 13151, 382, 73594, 34376, 34800, 98687, 929, 22678, 75499, 474, 2885, 64969, 320, 10879, 18, 17, 340, 474, 19078, 37271, 9636, 1074, 320, 90594, 340, 474, 19078, 7758, 24715, 320, 48098, 11, 1379, 2124, 340, 474, 739, 45651, 320, 455, 4117, 340, 474, 739, 8393, 320, 71, 19103, 15064, 11, 20075, 692, 313, 362, 4269, 315, 330, 11463, 1, 5109, 13, 220, 320, 1654, 1896, 279, 9787, 311, 21687, 279, 10320, 504, 279, 198, 313, 2750, 28175, 69890, 16, 19, 22, 3504, 8800, 37, 19959, 293, 589, 293, 1464, 508, 65, 921, 69890, 16, 19, 22, 284, 9787, 659, 29629, 3019, 198, 2870, 3019, 856, 284, 1077, 5453, 3504, 1333, 11, 282, 8, 284, 6169, 61955, 320, 16, 19, 22, 353, 856, 8, 304, 282, 271, 3817, 3504, 6429, 12668, 3817, 284, 653, 198, 1149, 10036, 284, 28422, 16, 19, 22, 320, 15, 13, 16, 17, 18, 19, 20, 21, 22, 3504, 7093, 340, 4412, 9119, 69579, 320, 2186, 1349, 8, 633, 4117, 3504, 6429, 508, 1072, 921, 5638, 12268, 315, 198, 313, 9258, 458, 25678, 4269, 315, 220, 18, 17, 15257, 7868, 821, 369, 2746, 18703, 261, 624, 1294, 220, 1464, 2182, 32882, 2415, 5544, 83, 10036, 271, 313, 8213, 279, 1156, 308, 4194, 2750, 624, 7669, 60, 1464, 2415, 44, 62, 1173, 32882, 1896, 308, 10036, 271, 313, 13882, 5693, 1141, 4292, 62, 256, 1464, 78598, 330, 14783, 25, 28422, 16, 19, 22, 508, 77, 60, 1837, 313, 7169, 264, 897, 311, 458, 220, 18, 17, 15257, 3774, 7546, 11, 10767, 21244, 3123, 279, 198, 313, 3245, 5089, 9472, 315, 279, 5693, 624, 66, 9708, 3504, 8800, 37, 19959, 264, 589, 264, 1464, 9322, 18, 17, 198, 66, 9708, 856, 284, 4778, 32882, 504, 66164, 320, 2810, 19568, 3504, 9322, 18, 17, 8, 353, 856, 271, 313, 9258, 279, 3774, 220, 18, 17, 15257, 2750, 438, 7868, 821, 624, 628, 3504, 508, 10879, 18, 17, 60, 1464, 6429, 12668, 628, 374, 284, 1077, 308, 284, 1379, 2124, 320, 15, 3504, 9322, 18, 17, 340, 258, 62647, 924, 19788, 79, 1464, 737, 320, 2186, 44, 62, 19788, 72, 1464, 51551, 281, 600, 3578, 305, 19103, 15064, 20075, 281, 308, 8, 374, 1171, 13874, 3989, 13874, 61069, 3, 12991, 69890, 16, 19, 22, 220, 16, 15, 198, 15, 13, 16, 19, 23, 16, 18, 19, 23, 24, 24, 24, 24, 24, 24, 24, 23, 22, 19, 198, 15, 13, 22, 22, 20, 23, 18, 15, 17, 24, 24, 24, 24, 24, 23, 16, 19, 18, 198, 19, 13, 22, 15, 20, 19, 15, 24, 24, 24, 22, 17, 22, 16, 17, 15, 19, 68, 12, 17, 198, 15, 13, 24, 16, 21, 24, 20, 17, 21, 24, 20, 24, 23, 23, 21, 21, 24, 21, 198, 15, 13, 22, 24, 17, 15, 19, 21, 18, 16, 15, 18, 18, 19, 19, 17, 22, 20, 198, 15, 13, 19, 18, 15, 23, 15, 22, 21, 16, 24, 16, 21, 15, 23, 19, 20, 198, 15, 13, 18, 17, 23, 22, 17, 15, 15, 16, 21, 21, 19, 19, 17, 16, 16, 24, 198, 15, 13, 18, 17, 16, 23, 19, 17, 19, 19, 21, 21, 24, 24, 16, 20, 15, 22, 19, 198, 15, 13, 18, 16, 15, 23, 18, 24, 21, 21, 19, 22, 22, 20, 16, 20, 24, 198, 15, 13, 21, 24, 18, 19, 18, 15, 22, 17, 16, 24, 19, 23, 18, 22, 19, 17, 198, 13874, 19324, 8420, 748, 279, 1102, 315, 24991, 279, 2550, 311, 2746, 18703, 261, 13, 358, 2765, 1405, 1430, 311, 14198, 279, 3059, 11, 1588, 13, 320, 785, 481, 64, 5693, 10742, 432, 311, 1598, 678, 279, 7032, 432, 702, 26, 481, 70, 220, 17, 15, 15, 2727, 429, 31369, 374, 264, 4013, 315, 220, 18, 17, 15257, 3774, 25780, 6138, 576, 12126, 374, 429, 220, 23, 17, 7032, 5823, 11, 220, 17, 22, 4641, 323, 220, 20, 1033, 7469, 382, 13874, 61069, 3, 12991, 69890, 16, 19, 22, 760, 2746, 18703, 261, 481, 64, 481, 70, 220, 17, 15, 15, 198, 72004, 35366, 4956, 2, 310, 2746, 18703, 261, 2319, 220, 18, 13, 18, 16, 13, 16, 2955, 220, 17, 15, 15, 18, 8397, 479, 13, 10471, 688, 9541, 72004, 35366, 4956, 69890, 1269, 262, 760, 81, 2844, 14, 5569, 91, 256, 35822, 256, 9248, 51602, 5898, 16067, 91, 220, 220, 16, 13, 15, 16, 68, 10, 15, 22, 220, 760, 17, 22, 22, 21, 21, 23, 21, 17, 19, 22, 7360, 72004, 35366, 4956, 1944, 1269, 256, 760, 406, 454, 91, 10591, 4023, 760, 1690, 4023, 91, 220, 281, 19083, 760, 5615, 23391, 198, 72004, 35366, 4956, 26493, 18703, 52973, 13778, 91, 256, 220, 15, 91, 981, 220, 16, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 21, 19, 15, 19, 19, 22, 20, 17, 91, 220, 59917, 20275, 198, 26493, 18703, 25634, 76, 20, 91, 256, 220, 15, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 20417, 62, 18, 17, 87, 18, 17, 91, 256, 220, 15, 91, 257, 220, 19, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 19, 20, 18, 21, 21, 16, 18, 19, 91, 220, 59917, 20275, 198, 26493, 18703, 20417, 62, 21, 87, 23, 91, 256, 220, 15, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 22, 21, 20, 23, 22, 18, 18, 91, 220, 59917, 20275, 198, 26493, 18703, 13996, 4027, 91, 256, 220, 15, 91, 256, 220, 17, 15, 24, 22, 16, 20, 17, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 17, 20, 15, 23, 19, 24, 16, 91, 220, 59917, 20275, 198, 26493, 18703, 10287, 704, 91, 256, 220, 15, 91, 256, 220, 17, 15, 24, 22, 16, 20, 17, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 14179, 80, 704, 91, 256, 220, 15, 91, 256, 220, 17, 15, 24, 22, 16, 20, 17, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 814, 3376, 91, 256, 220, 15, 91, 256, 220, 17, 15, 24, 22, 16, 20, 17, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 3180, 62, 16, 82, 2895, 91, 256, 220, 15, 91, 262, 220, 17, 20, 21, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 3180, 62, 16, 82, 3710, 83, 91, 256, 220, 15, 91, 262, 220, 17, 20, 21, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 620, 33452, 91849, 91, 256, 220, 15, 91, 257, 220, 16, 17, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 62, 17, 5356, 8023, 91, 256, 220, 17, 91, 414, 220, 23, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 62, 18, 5356, 8023, 91, 256, 220, 18, 91, 414, 220, 19, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 643, 19340, 91, 256, 220, 15, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 643, 6237, 91, 256, 220, 15, 91, 981, 220, 16, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 21, 22, 15, 24, 23, 15, 21, 91, 220, 59917, 20275, 198, 26493, 18703, 67352, 91, 256, 220, 15, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 67352, 91, 256, 220, 15, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 26493, 18703, 32331, 2625, 91, 256, 220, 15, 91, 262, 220, 17, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 18, 19, 17, 23, 22, 15, 17, 91, 220, 59917, 20275, 198, 26493, 18703, 32331, 2625, 91, 256, 220, 15, 91, 262, 220, 17, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 24, 21, 23, 18, 16, 91, 256, 19677, 11907, 198, 94926, 351, 23350, 25023, 524, 1889, 4385, 91, 256, 220, 15, 91, 220, 220, 16, 15, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 94926, 351, 23350, 25023, 524, 1889, 4385, 91, 256, 220, 15, 91, 220, 220, 16, 15, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 36279, 20737, 674, 275, 91, 256, 220, 16, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 18, 24, 24, 19, 24, 17, 24, 91, 220, 59917, 20275, 198, 36279, 67352, 91, 256, 220, 17, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 17, 24, 22, 24, 24, 22, 21, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 16, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 23, 19, 22, 16, 20, 22, 21, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 17, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 16, 21, 17, 19, 17, 24, 17, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 18, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 18, 17, 22, 19, 17, 21, 20, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 18, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 21, 17, 22, 19, 24, 22, 15, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 19, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 15, 24, 15, 21, 17, 24, 23, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 19, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 16, 18, 20, 24, 23, 19, 21, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 20, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 22, 24, 15, 23, 16, 16, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 20, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 22, 17, 18, 16, 21, 24, 20, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 21, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 22, 21, 20, 24, 17, 22, 17, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 21, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 23, 20, 16, 18, 22, 17, 15, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 22, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 19, 18, 16, 20, 15, 24, 15, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 22, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 19, 20, 21, 18, 19, 24, 18, 15, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 23, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 19, 23, 17, 21, 24, 19, 21, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 23, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 19, 17, 20, 17, 15, 15, 17, 21, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 24, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 16, 18, 15, 20, 24, 18, 22, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 256, 220, 24, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 15, 23, 17, 17, 19, 15, 22, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 15, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 22, 16, 20, 19, 19, 17, 23, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 15, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 21, 24, 23, 16, 17, 24, 23, 17, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 16, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 20, 18, 19, 20, 19, 16, 19, 22, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 16, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 23, 19, 19, 19, 15, 16, 19, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 17, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 17, 19, 20, 18, 20, 24, 17, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 17, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 17, 17, 18, 21, 18, 17, 15, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 18, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 23, 18, 21, 21, 15, 19, 20, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 18, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 22, 21, 16, 21, 21, 21, 22, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 19, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 20, 22, 21, 19, 23, 15, 24, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 19, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 19, 19, 22, 17, 23, 24, 16, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 20, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 19, 18, 24, 15, 16, 21, 23, 23, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 20, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 21, 22, 16, 19, 20, 20, 21, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 21, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 20, 23, 20, 23, 22, 22, 17, 22, 91, 220, 59917, 20275, 198, 36279, 25602, 91, 220, 220, 16, 21, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 21, 22, 19, 17, 20, 24, 22, 23, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 256, 220, 16, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 20, 23, 19, 21, 21, 22, 20, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 256, 220, 17, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 19, 21, 17, 18, 91, 256, 19677, 11907, 198, 16509, 13996, 12211, 91, 256, 220, 18, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 21, 21, 20, 23, 24, 19, 16, 23, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 256, 220, 19, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 17, 21, 20, 21, 20, 91, 256, 19677, 11907, 198, 16509, 13996, 12211, 91, 256, 220, 20, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 22, 24, 21, 24, 19, 19, 17, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 256, 220, 21, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 22, 23, 20, 15, 18, 17, 21, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 256, 220, 22, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 20, 24, 16, 16, 24, 24, 17, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 256, 220, 23, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 19, 20, 20, 24, 17, 91, 256, 19677, 11907, 198, 16509, 13996, 12211, 91, 256, 220, 24, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 21, 19, 17, 22, 19, 15, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 220, 220, 16, 15, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 22, 20, 16, 19, 20, 17, 22, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 220, 220, 16, 16, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 16, 19, 17, 15, 16, 18, 17, 91, 220, 59917, 20275, 198, 16509, 13996, 12211, 91, 220, 220, 16, 17, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 24, 22, 18, 23, 17, 24, 17, 91, 220, 59917, 20275, 198, 16509, 84855, 19464, 91, 256, 220, 17, 91, 257, 220, 16, 15, 15, 15, 15, 91, 262, 220, 16, 15, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 16509, 84855, 19464, 91, 256, 220, 18, 91, 257, 220, 16, 15, 15, 15, 15, 91, 262, 220, 16, 15, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 16509, 84855, 19464, 91, 256, 220, 19, 91, 257, 220, 16, 15, 15, 15, 15, 91, 262, 220, 16, 15, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 16509, 84855, 19464, 91, 256, 220, 20, 91, 257, 220, 16, 15, 15, 15, 15, 91, 262, 220, 16, 15, 15, 15, 91, 15, 13, 15, 16, 17, 18, 17, 16, 18, 23, 91, 220, 59917, 20275, 198, 16509, 31961, 82141, 91, 256, 220, 17, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 20, 20, 18, 17, 18, 16, 22, 18, 91, 220, 59917, 20275, 198, 16509, 31961, 82141, 91, 256, 220, 18, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 16509, 31961, 82141, 91, 256, 220, 19, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 16509, 31961, 82141, 91, 256, 220, 20, 91, 262, 220, 16, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 16509, 907, 96476, 10160, 91, 256, 220, 15, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 21, 22, 24, 17, 17, 19, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 16, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 20, 24, 23, 18, 23, 21, 20, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 17, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 20, 21, 15, 22, 19, 15, 16, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 18, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 23, 20, 21, 20, 22, 16, 20, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 19, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 20, 15, 23, 20, 24, 21, 16, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 20, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 19, 20, 20, 23, 17, 15, 21, 19, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 21, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 21, 15, 20, 21, 20, 24, 23, 20, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 22, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 19, 16, 24, 20, 19, 15, 21, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 23, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 15, 23, 18, 16, 24, 22, 21, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 256, 220, 24, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 21, 20, 19, 21, 17, 18, 19, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 15, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 24, 24, 18, 21, 24, 24, 19, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 16, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 15, 22, 18, 15, 18, 17, 18, 18, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 17, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 19, 21, 19, 20, 16, 17, 22, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 18, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 24, 16, 24, 20, 23, 18, 23, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 19, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 15, 15, 24, 19, 24, 22, 20, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 20, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 24, 22, 24, 15, 15, 15, 20, 91, 256, 19677, 11907, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 21, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 22, 20, 16, 24, 21, 20, 17, 18, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 22, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 23, 23, 15, 24, 21, 17, 21, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 23, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 21, 16, 16, 23, 15, 15, 24, 16, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 16, 24, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 24, 19, 19, 15, 19, 22, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 15, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 20, 22, 24, 16, 22, 15, 24, 19, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 16, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 23, 18, 16, 17, 24, 21, 15, 16, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 17, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 20, 22, 17, 24, 17, 19, 15, 22, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 18, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 15, 18, 23, 16, 24, 17, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 19, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 18, 21, 20, 16, 16, 24, 20, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 20, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 20, 15, 23, 19, 23, 22, 17, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 21, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 23, 16, 22, 20, 21, 21, 17, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 22, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 17, 24, 16, 24, 19, 18, 17, 18, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 23, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 16, 19, 24, 18, 19, 17, 18, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 17, 24, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 24, 21, 22, 17, 17, 23, 18, 22, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 18, 15, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 19, 16, 15, 19, 20, 20, 18, 22, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 18, 16, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 18, 18, 18, 22, 24, 19, 21, 24, 91, 220, 59917, 20275, 198, 16509, 907, 96476, 10160, 91, 220, 220, 18, 17, 91, 256, 220, 16, 15, 15, 15, 15, 15, 15, 91, 257, 220, 16, 15, 15, 91, 15, 13, 21, 22, 20, 17, 23, 24, 23, 20, 91, 220, 59917, 20275, 198, 16509, 4698, 267, 477, 4452, 91, 256, 220, 15, 91, 257, 220, 16, 15, 15, 15, 15, 91, 262, 220, 16, 15, 15, 15, 91, 15, 13, 16, 17, 19, 17, 17, 21, 17, 24, 91, 220, 59917, 20275, 198, 67, 370, 3710, 6565, 4789, 91, 256, 220, 15, 91, 220, 220, 20, 16, 17, 15, 15, 15, 15, 15, 91, 981, 220, 16, 91, 16, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 67, 370, 814, 302, 91, 220, 17, 20, 21, 91, 257, 220, 20, 15, 15, 15, 15, 91, 981, 220, 16, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 97191, 311, 1598, 1273, 220, 17, 15, 22, 13, 220, 308, 24590, 284, 220, 15, 198, 67, 370, 30728, 9344, 91, 220, 220, 18, 17, 91, 220, 220, 16, 20, 15, 15, 15, 15, 15, 15, 91, 981, 220, 16, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 67, 370, 30728, 9344, 91, 220, 220, 18, 17, 91, 220, 220, 16, 20, 15, 15, 15, 15, 15, 15, 91, 981, 220, 16, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 97191, 311, 1598, 1273, 220, 17, 15, 23, 13, 220, 308, 24590, 284, 220, 15, 198, 67, 370, 30728, 9344, 17, 91, 256, 220, 15, 91, 256, 220, 20, 15, 15, 15, 15, 15, 15, 91, 981, 220, 16, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 67, 370, 30728, 9344, 17, 91, 256, 220, 16, 91, 256, 220, 20, 15, 15, 15, 15, 15, 15, 91, 981, 220, 16, 91, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 97191, 311, 1598, 1273, 220, 17, 15, 24, 13, 220, 308, 24590, 284, 220, 15, 198, 67, 370, 20737, 674, 275, 17, 91, 220, 220, 16, 17, 91, 220, 220, 21, 20, 15, 15, 15, 15, 15, 15, 91, 981, 220, 16, 91, 16, 13, 15, 15, 15, 15, 15, 15, 15, 15, 91, 220, 49671, 198, 59, 25046, 13874, 3989, 19, 13, 27524, 5798, 3807, 4194, 1372, 43063, 25, 508, 16, 1125, 508, 17, 1125, 508, 18, 1125, 508, 19, 1125, 508, 20, 1125, 508, 21, 1125, 508, 22, 1125, 508, 23, 1125, 508, 24, 60, 320, 40, 3207, 1405, 13083, 432, 572, 773, 1657, 3080, 358, 3937, 1182, 323, 6966, 568, 758, 3351, 748, 10158, 582, 27524 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 576, 28525, 18100, 271, 785, 28525, 18100, 1365, 576, 8544, 369, 3351, 748, 4549, 374, 279, 8781, 5912, 13, 2055, 498, 678, 2578, 614, 2525, 3941, 419, 3953, 23606, 476, 419, 3953, 4647, 304, 697, 4722, 10659, 432, 374, 979, 498, 1033, 304, 697, 49795, 5124, 6022, 476, 14696, 13, 2055, 714, 304, 5538, 6832, 374, 279, 1429, 2989, 7286, 979, 582, 614, 311, 3484, 448, 279, 1182, 2674, 27137, 11, 2055, 1182, 2674, 27137, 374, 825, 1741, 12111, 476, 14762, 1380, 498, 1430, 311, 98921, 311, 3842, 13617, 323, 498, 1430, 311, 2525, 311, 429, 3953, 4982, 476, 48284, 304, 1973, 311, 7500, 279, 14324, 382, 4416, 1052, 498, 13221, 990, 419, 23606, 476, 419, 7286, 504, 37596, 13, 2938, 374, 279, 8781, 5912, 13, 2055, 582, 4700, 387, 3432, 264, 3974, 23578, 315, 1128, 279, 8781, 5912, 374, 304, 419, 3953, 2766, 13, 2055, 1977, 369, 3110, 8993, 498, 525, 2661, 458, 23606, 1075, 498, 614, 1045, 58755, 23606, 468, 9226, 311, 279, 57668, 315, 1045, 729, 1977, 856, 9334, 13, 2055, 1431, 498, 614, 419, 3953, 23606, 323, 432, 748, 1012, 4588, 429, 498, 614, 311, 1896, 279, 2790, 31805, 315, 448, 5091, 311, 1599, 1977, 11, 419, 374, 1045, 729, 1977, 809, 323, 809, 374, 6144, 311, 374, 2661, 1075, 419, 323, 498, 1366, 311, 1896, 279, 31805, 315, 419, 3953, 729, 382, 4416, 1246, 1035, 498, 13221, 653, 419, 30, 2055, 369, 304, 1973, 311, 2736, 419, 11, 498, 1184, 311, 614, 311, 3960, 279, 23606, 773, 279, 42545, 315, 3654, 5746, 1075, 17995, 5746, 11464, 729, 31805, 315, 1657, 2513, 773, 429, 498, 2525, 3941, 979, 498, 653, 3654, 4494, 315, 37906, 476, 979, 498, 614, 3654, 12829, 315, 15099, 5746, 11, 5310, 862, 419, 3953, 23606, 4041, 1119, 279, 6802, 13, 2055, 1431, 1246, 1035, 498, 1896, 279, 31805, 30, 2055, 15356, 421, 498, 1366, 311, 53163, 379, 448, 5091, 311, 1599, 1431, 11, 498, 1366, 311, 1779, 3425, 1380, 279, 1599, 4041, 304, 419, 3953, 23606, 382, 4416, 1431, 419, 4278, 304, 279, 3561, 315, 4940, 31805, 315, 458, 15955, 729, 54916, 553, 31805, 315, 9179, 729, 2055, 432, 374, 264, 3093, 315, 24034, 5746, 13, 2055, 1493, 525, 15791, 2598, 438, 27714, 5746, 13, 2938, 374, 729, 4766, 729, 13, 2055, 1246, 653, 498, 1896, 279, 31805, 773, 369, 279, 31805, 369, 468, 9226, 311, 1599, 1431, 419, 3953, 825, 3953, 23606, 429, 374, 498, 646, 2908, 432, 438, 384, 9226, 311, 259, 13, 2055, 979, 498, 53163, 498, 1156, 3270, 432, 438, 384, 9226, 311, 57668, 856, 9334, 13, 2055, 369, 468, 4828, 311, 1599, 476, 468, 4828, 311, 422, 13, 1446, 614, 279, 1852, 1352, 13, 1597, 1221, 498, 1184, 311, 1896, 279, 31805, 315, 429, 374, 294, 553, 294, 55, 315, 57668, 1599, 15619, 382, 4416, 11956, 498, 5545, 279, 31805, 315, 856, 52263, 384, 311, 53163, 432, 419, 773, 429, 374, 279, 1817, 3842, 3953, 4982, 13, 1446, 525, 4460, 311, 53163, 773, 429, 374, 498, 614, 384, 9226, 311, 279, 57668, 315, 856, 9334, 1119, 421, 498, 1896, 279, 31805, 315, 57668, 315, 856, 52263, 429, 9044, 75259, 315, 856, 9334, 1431, 11, 498, 1265, 537, 2936, 429, 374, 498, 614, 311, 1896, 279, 31805, 448, 5091, 311, 856, 9334, 1083, 13, 2055, 1431, 419, 374, 10526, 304, 3793, 315, 1599, 13, 2055, 5499, 697, 31805, 1035, 387, 369, 419, 498, 614, 220, 17, 55, 13, 2055, 1431, 421, 498, 1101, 22986, 498, 614, 1817, 323, 4297, 438, 3842, 8153, 11, 892, 525, 1101, 84192, 382, 4416, 1493, 525, 15791, 498, 3129, 9120, 315, 2155, 37906, 429, 498, 525, 84192, 13, 2055, 15791, 1493, 525, 1483, 369, 40639, 5746, 773, 42533, 1977, 498, 614, 264, 729, 1075, 498, 525, 7086, 809, 374, 6144, 311, 856, 9334, 13, 2055, 1431, 1977, 358, 4249, 14064, 419, 438, 809, 13, 2055, 582, 614, 4429, 856, 9334, 438, 379, 1431, 13, 1205, 525, 4633, 1863, 374, 6144, 311, 57668, 379, 13, 2055, 1431, 419, 6116, 57668, 315, 809, 13, 2055, 582, 525, 4633, 419, 57668, 315, 379, 438, 1147, 323, 1977, 582, 614, 467, 374, 6144, 311, 384, 4828, 311, 1147, 13, 2055, 1431, 421, 582, 525, 4588, 311, 1477, 279, 31805, 11, 315, 3308, 11, 582, 525, 12831, 1588, 279, 7130, 31805, 315, 448, 5091, 311, 1977, 582, 1366, 311, 1896, 279, 31805, 315, 289, 448, 5091, 311, 1863, 382, 7039, 304, 1973, 311, 653, 419, 419, 467, 1265, 614, 2494, 429, 374, 13302, 304, 3793, 315, 856, 9334, 13, 2055, 304, 1973, 311, 53163, 419, 11, 1052, 374, 1045, 4647, 1052, 1265, 387, 2494, 304, 6303, 429, 374, 18239, 315, 1599, 1221, 1172, 498, 646, 3796, 279, 8781, 5912, 770, 13, 1446, 4157, 728, 1182, 323, 4564, 311, 429, 3953, 3166, 13, 2055, 15791, 979, 498, 1896, 279, 31805, 773, 1156, 432, 686, 387, 24576, 467, 553, 24576, 1147, 11, 773, 429, 374, 448, 5091, 311, 1863, 382, 12209, 498, 614, 24576, 1147, 553, 24576, 809, 323, 1221, 498, 5499, 614, 24576, 379, 553, 24576, 1599, 13, 2055, 421, 498, 1490, 1101, 419, 3953, 23606, 419, 17167, 315, 419, 24576, 1863, 323, 24576, 809, 773, 13221, 498, 646, 1101, 9658, 1075, 419, 62309, 2010, 700, 11, 714, 304, 6888, 336, 7022, 582, 4157, 9121, 419, 714, 1101, 369, 4467, 79, 24779, 11, 498, 646, 2908, 419, 13, 2055, 1246, 498, 4009, 382, 11526, 498, 646, 1477, 279, 8781, 315, 2155, 37906, 429, 525, 5001, 3941, 702, 2661, 448, 279, 1492, 315, 419, 8781, 5912, 1431, 369, 279, 4586, 3561, 1977, 419, 374, 15251, 438, 434, 315, 479, 315, 856, 13, 2055, 421, 498, 1366, 311, 1896, 279, 31805, 429, 374, 582, 614, 379, 12518, 374, 6144, 311, 282, 527, 479, 315, 1599, 1119, 279, 31805, 315, 479, 315, 1599, 13, 2055, 429, 9044, 264, 27714, 5746, 382, 7039, 419, 537, 1172, 5780, 448, 419, 58755, 5746, 13, 8909, 498, 614, 1045, 5746, 13, 2055, 220, 18, 87, 5519, 220, 16, 4828, 311, 220, 22, 13, 2055, 525, 498, 1667, 279, 31805, 30, 7281, 421, 498, 614, 1045, 89936, 21220, 5746, 1075, 220, 20, 55, 2521, 421, 498, 614, 1045, 9334, 3704, 5746, 1075, 419, 11, 714, 582, 525, 11285, 448, 1493, 12829, 315, 37906, 13, 10083, 30, 2055, 1493, 525, 4302, 714, 697, 4709, 5746, 429, 498, 12828, 382, 4416, 421, 498, 614, 419, 379, 609, 379, 19149, 11, 498, 1231, 614, 1045, 3093, 315, 37906, 1380, 498, 614, 379, 1487, 379, 2062, 5519, 220, 16, 27283, 379, 1119, 1487, 220, 16, 27283, 379, 2062, 773, 498, 646, 53163, 419, 323, 29193, 13, 1096, 374, 4302, 714, 697, 856, 9334, 5519, 379, 15619, 892, 374, 4302, 714, 697, 444, 17, 7465, 323, 773, 678, 1493, 525, 13221, 65930, 5746, 13, 2055, 419, 374, 279, 13143, 315, 279, 8781, 5912, 4041, 1119, 369, 2155, 22897, 304, 60477, 38710, 13, 2055, 498, 646, 15791, 1896, 279, 31805, 315, 419, 323, 498, 646, 98921, 323, 311, 2647, 1817, 323, 1449, 3953, 3842, 4982, 13, 2055, 1632, 429, 572, 678, 8826, 279, 8781, 5912, 304, 5538, 6832, 369, 1182, 2674, 27137, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24038, 48356, 468, 5757, 21792, 82737, 18835, 3567, 46260, 24211, 31804, 50, 82476, 271, 31198, 220, 16, 14512, 4498, 582, 30270, 264, 1372, 553, 220, 19, 11, 582, 633, 220, 16, 17, 19, 13, 7379, 279, 1372, 382, 31198, 220, 17, 14512, 4498, 582, 21749, 264, 1372, 553, 220, 22, 11, 582, 633, 220, 16, 19, 13, 7379, 279, 1372, 382, 31198, 220, 18, 14512, 27387, 45564, 1045, 3220, 504, 10860, 13, 4636, 220, 18, 1635, 11, 8515, 5927, 220, 17, 3039, 315, 45564, 3220, 311, 10860, 13, 1416, 279, 5927, 3220, 374, 32882, 17, 17, 21, 11, 1246, 1753, 3220, 1521, 8515, 17193, 504, 10860, 23754, 31198, 220, 19, 14512, 22286, 702, 1045, 3220, 13, 1260, 6551, 825, 11737, 315, 279, 3220, 311, 47290, 13, 1416, 47290, 5221, 32882, 23, 504, 6798, 11, 1246, 1753, 3220, 1521, 6798, 614, 15102, 23754, 31198, 220, 20, 14512, 641, 264, 16539, 11, 27991, 3220, 686, 3635, 220, 19, 3039, 5086, 304, 220, 20, 1635, 13, 1416, 16465, 88, 21189, 32882, 18, 17, 23, 15, 1283, 4236, 1635, 11, 1246, 1753, 3220, 1521, 16465, 88, 2725, 23754, 31198, 220, 21, 14512, 94167, 702, 1045, 1372, 315, 97397, 323, 7937, 702, 220, 18, 20, 97397, 13, 1416, 7937, 702, 97397, 220, 20, 3039, 438, 24521, 11, 1246, 1657, 97397, 1558, 24521, 614, 23754, 31198, 220, 22, 14512, 40586, 1030, 1045, 4017, 12590, 323, 566, 6551, 825, 4843, 315, 279, 4017, 12590, 311, 8515, 13, 1416, 8515, 5221, 220, 23, 4017, 12590, 504, 15118, 11, 1246, 1657, 4017, 12590, 1521, 614, 15102, 23754, 31198, 220, 23, 14512, 25477, 279, 4115, 315, 220, 16, 15, 393, 1321, 13, 323, 220, 21, 362, 1321, 2572, 279, 9315, 42054, 458, 4102, 17202, 315, 315, 264, 8381, 817, 6460, 13, 2585, 1293, 11, 304, 4115, 323, 4420, 11, 686, 432, 4102, 22769, 369, 279, 9315, 311, 18472, 553, 220, 20, 36286, 37, 23754, 31198, 220, 16, 14512, 4498, 582, 30270, 264, 1372, 553, 220, 19, 11, 582, 633, 220, 16, 17, 19, 13, 7379, 279, 1372, 382, 36842, 14512, 10061, 856, 387, 279, 1372, 382, 12209, 3554, 19, 87, 220, 4102, 28, 220, 4102, 16, 17, 19, 271, 12509, 577, 1817, 3108, 553, 220, 19, 382, 87, 220, 4102, 28, 220, 4102, 18, 16, 271, 4416, 11, 279, 1372, 374, 220, 18, 16, 382, 31198, 220, 17, 14512, 4498, 582, 21749, 264, 1372, 553, 220, 22, 11, 582, 633, 220, 16, 19, 13, 7379, 279, 1372, 382, 36842, 14512, 10061, 296, 387, 279, 1372, 382, 12209, 3554, 76, 14, 22, 220, 4102, 28, 220, 4102, 16, 19, 271, 95155, 1817, 3108, 553, 220, 22, 382, 76, 220, 4102, 28, 220, 4102, 24, 23, 271, 4416, 11, 279, 1372, 374, 220, 24, 23, 382, 31198, 220, 18, 14512, 27387, 45564, 1045, 3220, 504, 10860, 13, 4636, 220, 18, 1635, 11, 8515, 5927, 220, 17, 3039, 315, 45564, 3220, 311, 10860, 13, 1416, 279, 5927, 3220, 374, 32882, 17, 17, 21, 11, 1246, 1753, 3220, 1521, 8515, 17193, 504, 10860, 23754, 36842, 14512, 10061, 856, 387, 279, 45564, 3220, 382, 12209, 3554, 17, 87, 4102, 284, 220, 4102, 17, 17, 21, 271, 12509, 577, 1817, 3108, 553, 220, 17, 382, 87, 220, 4102, 28, 220, 4102, 16, 16, 18, 271, 4416, 11, 279, 45564, 3220, 374, 32882, 16, 16, 18, 382, 31198, 220, 19, 14512, 22286, 702, 1045, 3220, 13, 1260, 6551, 825, 11737, 315, 279, 3220, 311, 47290, 13, 1416, 47290, 5221, 32882, 23, 504, 6798, 11, 1246, 1753, 3220, 1521, 6798, 614, 15102, 23754, 36842, 14512, 10061, 296, 387, 279, 3220, 429, 6798, 1030, 15102, 382, 12209, 3554, 76, 14, 19, 220, 4102, 28, 220, 4102, 18, 17, 271, 95155, 1817, 3108, 553, 220, 19, 382, 76, 220, 4102, 28, 220, 4102, 16, 17, 23, 271, 31198, 220, 20, 14512, 641, 264, 16539, 11, 27991, 3220, 686, 3635, 220, 19, 3039, 5086, 304, 220, 20, 1635, 13, 1416, 16465, 88, 21189, 32882, 18, 17, 23, 15, 1283, 4236, 1635, 11, 1246, 1753, 3220, 1521, 16465, 88, 2725, 23754, 36842, 14512, 10061, 856, 387, 279, 3220, 429, 16465, 88, 27991, 382, 12209, 3554, 19, 87, 4102, 284, 220, 4102, 18, 17, 23, 15, 271, 12509, 577, 1817, 3108, 553, 220, 19, 382, 87, 4102, 284, 220, 4102, 23, 17, 15, 271, 4416, 11, 16465, 88, 27991, 32882, 23, 17, 15, 382, 31198, 220, 21, 14512, 94167, 702, 1045, 1372, 315, 97397, 323, 7937, 702, 220, 18, 20, 97397, 13, 1416, 7937, 702, 97397, 220, 20, 3039, 438, 24521, 11, 1246, 1657, 97397, 1558, 24521, 614, 23754, 36842, 14512, 10061, 281, 387, 279, 1372, 315, 97397, 429, 24521, 702, 382, 12209, 3554, 20, 79, 220, 4102, 28, 220, 4102, 18, 20, 271, 12509, 577, 1817, 3108, 553, 220, 20, 382, 79, 220, 4102, 28, 220, 4102, 22, 271, 4416, 11, 24521, 702, 220, 20, 97397, 382, 31198, 220, 22, 14512, 40586, 1030, 1045, 4017, 12590, 323, 566, 6551, 825, 4843, 315, 279, 4017, 12590, 311, 8515, 13, 1416, 8515, 5221, 220, 23, 4017, 12590, 504, 15118, 11, 1246, 1657, 4017, 12590, 1521, 614, 15102, 23754, 36842, 14512, 10061, 305, 387, 279, 1372, 315, 4017, 12590, 429, 15118, 1030, 15102, 382, 12209, 3554, 76, 14, 18, 220, 4102, 28, 220, 4102, 23, 271, 95155, 1817, 3108, 553, 220, 18, 382, 76, 4102, 284, 220, 4102, 17, 19, 271, 4416, 11, 15118, 1030, 220, 17, 19, 4017, 12590, 15102, 382, 31198, 220, 23, 14512, 25477, 279, 4115, 315, 220, 16, 15, 393, 1321, 13, 323, 220, 21, 362, 1321, 2572, 279, 9315, 42054, 458, 4102, 17202, 315, 315, 264, 8381, 817, 6460, 13, 2585, 1293, 11, 304, 4115, 323, 4420, 11, 686, 432, 4102, 22769, 369, 279, 9315, 311, 18472, 553, 220, 20, 36286, 37, 23754, 36842, 14512, 10061, 856, 4009, 279, 1372, 315, 4115, 4102, 275, 4990, 369, 279, 9315, 311, 18472, 553, 220, 20, 36286, 37, 382, 7985, 458, 23606, 271, 4080, 18, 14, 19, 50724, 220, 4102, 28, 220, 4102, 12, 20, 271, 18, 87, 14, 19, 220, 4102, 28, 220, 4102, 12, 20, 271, 50, 3948, 279, 23606, 1667, 458, 27949, 5666, 382, 95155, 1817, 3108, 553, 481, 220, 19, 14, 18, 382, 87, 220, 4102, 28, 220, 4102, 17, 15, 14, 18, 271, 87, 4102, 284, 220, 4102, 21, 220, 17, 14, 18, 271, 2132, 4990, 220, 21, 220, 17, 14, 18, 4115, 382, 12012, 220, 17, 14, 18, 4115, 311, 4420, 382, 17, 14, 18, 4115, 4102, 284, 4102, 320, 17, 14, 18, 8, 4102, 144568, 4102, 21, 15, 4420, 271, 17, 14, 18, 4115, 4102, 284, 220, 4102, 19, 15, 4420, 271, 4416, 11, 432, 4990, 220, 21, 4115, 323, 220, 19, 15, 4420, 369, 279, 9315, 311, 18472, 4102, 1694, 220, 20, 36286, 37, 382, 69504, 504, 279, 6259, 2661, 3403, 333, 498, 1184, 894, 1008, 6259, 304, 6888, 11, 4486, 990, 1039, 11558, 2526, 2711, 1588, 382, 2610, 646, 1083, 3947, 279, 2701, 3482, 6816, 389, 2155, 6259, 304, 6888, 382, 7227, 5308, 33497, 4826, 271, 10879, 5322, 389, 4285, 37906, 271, 10879, 5322, 389, 13482, 37906, 271, 2101, 26083, 3409, 5322, 271, 10879, 5322, 389, 27688, 271, 8726, 323, 46342, 3409, 5322, 271, 10879, 5322, 389, 2118, 22990, 323, 27949, 22990, 271, 10879, 5322, 389, 4982, 3349, 271, 10879, 5322, 389, 4982, 4379, 271, 10879, 5322, 389, 26297, 7813, 271, 1109, 49417, 72248, 8153, 3409, 5322, 271, 1109, 49417, 18266, 8153, 3409, 5322, 271, 10879, 5322, 389, 4285, 2734, 271, 10879, 5322, 389, 23628, 2734, 271, 10879, 5322, 389, 4494, 315, 25941, 271, 1092, 65982, 323, 79406, 25941, 3409, 5322, 271, 7378, 13064, 3409, 5322, 271, 1282, 73881, 6988, 3409, 5322, 271, 36167, 3409, 5322, 271, 67297, 323, 4709, 3409, 5322, 271, 53088, 323, 50494, 3409, 5322, 271, 11269, 3409, 5322, 271, 10879, 5322, 389, 64895, 271, 10879, 5322, 389, 9519, 26602, 81, 908, 271, 3966, 3019, 23606, 3409, 5322, 271, 31898, 92234, 3409, 5322, 271, 22777, 323, 21117, 3409, 5322, 271, 1462, 323, 975, 3409, 5322, 271, 10879, 5322, 389, 7289, 323, 348, 2667, 46187, 271, 10879, 5322, 389, 16639, 271, 13828, 95362, 45195, 57817, 3409, 5322, 271, 32010, 315, 264, 1372, 3409, 5322, 271, 10879, 5322, 389, 6783, 4628, 271, 10879, 5322, 389, 5461, 4628, 271, 10879, 5322, 389, 2629, 315, 279, 25941, 315, 264, 21495, 374, 220, 16, 23, 15, 8381, 271, 30267, 25012, 19100, 271, 67297, 323, 4709, 54920, 271, 36167, 54920, 271, 18889, 1965, 54920, 271, 1462, 11, 4628, 323, 6010, 54920, 271, 22777, 323, 21117, 54920, 271, 13636, 323, 2088, 315, 24438, 5746, 271, 13636, 323, 2088, 315, 24438, 5746, 448, 19766, 271, 11212, 287, 24438, 5746, 271, 11212, 287, 24438, 5746, 448, 19766, 271, 1109, 49417, 39816, 58328, 304, 311, 64895, 271, 11269, 13042, 315, 24438, 5109, 271, 51422, 9334, 3704, 1667, 1293, 12804, 271, 43, 727, 1321, 1714, 311, 11625, 882, 323, 975, 5322, 271, 3167, 75, 1095, 279, 3409, 5322, 304, 311, 46876, 292, 23393, 271, 6590, 466, 1107, 979, 220, 17, 2355, 220, 17, 20, 21, 374, 17779, 553, 220, 16, 22, 271, 6590, 466, 1107, 979, 220, 16, 22, 2355, 220, 17, 18, 374, 17779, 553, 220, 16, 21, 271, 9190, 315, 678, 2326, 15723, 5109, 74916, 553, 220, 21, 271, 9190, 315, 678, 2326, 15723, 5109, 74916, 553, 220, 22, 271, 9190, 315, 678, 2326, 15723, 5109, 74916, 553, 220, 23, 271, 9190, 315, 678, 2326, 15723, 5109, 14122, 1667, 220, 16, 11, 220, 18, 11, 220, 19, 271, 9190, 315, 678, 2326, 3040, 15723, 5109, 14122, 448, 2477, 7168, 18509, 271, 9190, 315, 678, 2326, 3040, 15723, 5109, 14122, 1667, 220, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 271, 9190, 315, 678, 2326, 3040, 15723, 5109, 14122, 1667, 220, 16, 11, 220, 17, 11, 220, 20, 11, 220, 21 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2585, 653, 498, 4771, 320, 87, 10, 17, 29776, 17, 488, 320, 88, 10, 16, 29776, 17, 284, 18, 17, 1939, 40591, 220, 20, 11, 220, 17, 15, 16, 21, 271, 25199, 448, 279, 4126, 57960, 2359, 4080, 220, 17, 1154, 481, 220, 16, 59, 1291, 15087, 323, 279, 10578, 400, 19, 1124, 26888, 90, 17, 31716, 382, 820, 71287, 1447, 3838, 498, 614, 1588, 374, 264, 12671, 23606, 382, 785, 5297, 1352, 315, 264, 12671, 23606, 374, 271, 2365, 59, 2359, 2075, 481, 314, 87, 51535, 76, 11035, 1291, 9139, 47822, 17, 92, 488, 28152, 2359, 7021, 481, 314, 88, 51535, 76, 11035, 1291, 9139, 47822, 17, 92, 284, 314, 81, 92, 47822, 17, 31716, 271, 8206, 16555, 264, 12671, 448, 279, 4126, 1459, 57960, 2359, 2306, 87, 51535, 76, 92, 1154, 314, 88, 51535, 76, 11035, 1291, 15087, 323, 279, 10578, 400, 81, 3, 382, 641, 697, 1142, 11, 3570, 87, 51535, 76, 92, 284, 481, 220, 17, 54876, 3570, 88, 51535, 76, 92, 284, 481, 220, 16, 3, 323, 271, 42960, 284, 1124, 26888, 90, 18, 17, 92, 284, 1124, 26888, 90, 16, 21, 1124, 50853, 220, 17, 92, 284, 220, 19, 1124, 26888, 90, 17, 92, 1124, 48053, 220, 20, 13, 21, 21, 66426, 44500, 11, 498, 646, 4771, 264, 12671, 448, 279, 4126, 1459, 57960, 2359, 4080, 220, 17, 1154, 481, 220, 16, 59, 1291, 15087, 323, 279, 10578, 57960, 48053, 220, 20, 13, 21, 21, 3, 1447, 4439, 96065, 87, 10, 17, 29776, 17, 488, 320, 88, 10, 16, 29776, 17, 284, 220, 18, 17, 10055, 16, 20, 13, 20, 19, 11, 220, 16, 21, 13, 19, 24, 11, 481, 23, 13, 18, 21, 11, 220, 22, 13, 21, 21, 13989 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3225, 362, 1459, 2530, 315, 3100, 328, 374, 9099, 389, 279, 3598, 28293, 8024, 315, 3529, 523, 17846, 518, 264, 6010, 315, 220, 21, 15, 9961, 13, 2411, 1128, 6010, 504, 279, 3529, 523, 17846, 1265, 264, 10063, 17846, 387, 9099, 369, 279, 44120, 311, 79767, 1549, 518, 279, 1459, 328, 3432, 1012, 25911, 504, 279, 3529, 523, 17846, 323, 1221, 504, 279, 10063, 825, 30, 4841, 279, 2309, 315, 279, 1459, 1380, 279, 44120, 3367, 2297, 421, 807, 525, 1156, 25911, 504, 279, 10063, 17846, 30, 576, 10578, 315, 279, 3529, 523, 17846, 374, 220, 23, 15, 9961, 13, 549, 30145, 37348, 11668, 271, 2, 362, 5126, 8748, 4940, 8658, 328, 2160, 1818, 4435, 1913, 576, 17121, 74839, 34474, 4940, 62698, 523, 33854, 2411, 362, 31135, 4940, 220, 21, 15, 356, 76, 13, 2411, 3555, 31135, 5542, 576, 62698, 523, 33854, 12260, 362, 23577, 33854, 2823, 1818, 4435, 1752, 576, 79675, 2014, 1200, 423, 709, 13759, 2411, 576, 5126, 328, 20035, 50578, 8550, 2209, 5542, 576, 62698, 523, 33854, 1597, 5005, 5542, 576, 23577, 3776, 30, 4841, 576, 12380, 4940, 576, 5126, 10967, 576, 79675, 25826, 10388, 1416, 2379, 8713, 5512, 8550, 2209, 5542, 576, 23577, 33854, 30, 576, 40453, 4940, 576, 62698, 523, 33854, 2160, 220, 23, 15, 356, 76, 382, 820, 8354, 45132, 271, 6054, 916, 220, 20, 15, 15, 10, 4115, 315, 2766, 45132, 220, 17, 19, 9, 22, 11, 18202, 4583, 47604, 57541, 369, 619, 7099, 17975, 382, 820, 8105, 9186, 271, 88492, 916, 220, 18, 15, 15, 15, 15, 10, 4755, 5916, 504, 6770, 2188, 311, 619, 7099, 11912, 2188, 382, 820, 5055, 14563, 20150, 271, 35127, 7032, 311, 23643, 697, 5098, 323, 15442, 1380, 498, 2498, 304, 3793, 315, 697, 619, 7099, 17975, 382, 820, 10762, 1506, 20909, 271, 1336, 712, 9115, 311, 4583, 47604, 57541, 374, 279, 1376, 311, 633, 264, 14977, 7077, 304, 619, 7099, 382, 820, 3393, 11131, 14953, 5069, 31172, 271, 35127, 7032, 311, 23643, 697, 5098, 323, 15442, 1380, 498, 2498, 304, 3793, 315, 697, 619, 7099, 17975, 382, 565, 15846, 271, 14374, 12478, 271, 33092, 2999, 374, 271, 24, 15, 9961, 271, 2461, 3529, 523, 17846, 271, 85, 4102, 28, 1365, 16, 17, 15, 9961, 271, 7039, 3554, 87, 4102, 28, 220, 16, 17, 15, 1365, 320, 87, 4102, 10, 220, 21, 15, 692, 87, 4102, 28, 220, 18, 15, 9961, 271, 4416, 279, 6010, 374, 220, 21, 15, 488, 220, 18, 15, 284, 220, 24, 15, 9961, 382, 820, 22889, 1715, 934, 56728, 42386, 271, 48, 16, 271, 32, 1459, 1633, 374, 9099, 518, 264, 6010, 315, 220, 18, 15, 9961, 504, 264, 65930, 17846, 315, 41099, 3084, 220, 18, 15, 9961, 13, 279, 2168, 686, 1352, 518, 271, 48, 17, 271, 22029, 4933, 1378, 44120, 362, 323, 425, 1660, 25911, 553, 264, 17846, 323, 2087, 438, 362, 63, 323, 425, 28587, 576, 17846, 271, 48, 18, 271, 22029, 4933, 2326, 17821, 3687, 315, 19353, 3028, 14937, 62912, 16, 11, 62912, 17, 4102, 437, 62912, 18, 13, 362, 1459, 1633, 506, 374, 9099, 304, 279, 11051, 62912, 17, 13, 1416, 279, 4453, 11051, 389, 279, 1290, 315, 279, 64151, 7329, 702, 19353, 3028, 1922, 62912, 16, 11, 279, 2168, 7586, 518, 506, 28587, 1416, 419, 4453, 11051, 702, 19353, 3028, 1922, 62912, 18, 11, 279, 2168, 7586, 518, 506, 13874, 13, 758, 279, 6534, 6839, 3554, 48, 19, 271, 2082, 1633, 315, 3084, 220, 17, 13, 20, 9961, 374, 9099, 518, 264, 6010, 315, 220, 16, 13, 20, 69, 4102, 1499, 264, 3529, 523, 17846, 1380, 282, 374, 279, 25621, 315, 279, 41099, 3084, 315, 279, 17846, 13, 576, 3084, 315, 279, 1633, 374, 76833, 311, 279, 12435, 8024, 13, 7379, 279, 3084, 315, 279, 2168, 13, 2160, 279, 2168, 37632, 476, 46701, 1939, 48, 20, 271, 32, 65930, 17846, 702, 1181, 10578, 315, 82133, 220, 17, 15, 9961, 13, 7379, 279, 2309, 315, 279, 2168, 315, 458, 1633, 9099, 518, 264, 6010, 315, 220, 16, 17, 9961, 504, 279, 17846, 382, 48, 21, 271, 8206, 17846, 1265, 264, 8171, 990, 11, 421, 566, 13352, 7678, 304, 4065, 315, 264, 17846, 518, 264, 6010, 315, 220, 18, 15, 6226, 3123, 504, 432, 323, 15634, 806, 37632, 2168, 6693, 2608, 374, 220, 16, 14, 21, 270, 315, 806, 1931, 2608, 11, 374, 271, 48, 22, 271, 32, 6869, 95537, 13352, 448, 1059, 19142, 220, 17, 15, 9961, 304, 4065, 315, 264, 11031, 17846, 369, 1128, 6010, 1969, 1340, 5244, 1059, 6414, 304, 1973, 311, 1490, 1059, 19142, 304, 279, 17846, 1939, 48, 23, 271, 2082, 1633, 315, 2608, 220, 20, 9961, 374, 9099, 304, 82151, 1948, 264, 3529, 523, 17846, 315, 10578, 315, 82133, 220, 18, 15, 9961, 323, 264, 65930, 17846, 315, 10578, 315, 82133, 220, 18, 15, 9961, 13, 576, 40485, 525, 9099, 14002, 311, 1817, 1008, 323, 525, 220, 21, 15, 9961, 10747, 13, 576, 2309, 315, 279, 2168, 14122, 553, 21844, 518, 65930, 17846, 374, 382, 48, 24, 271, 32, 65930, 18342, 315, 41099, 3084, 220, 16, 20, 9961, 374, 9099, 304, 4065, 315, 264, 65930, 17846, 13, 11733, 525, 90866, 530, 323, 279, 18342, 374, 220, 20, 9961, 504, 279, 71527, 315, 279, 17846, 13, 3197, 458, 1633, 374, 9099, 389, 279, 8024, 518, 264, 6010, 315, 220, 17, 15, 9961, 504, 279, 18342, 11, 421, 374, 1730, 429, 2168, 22970, 3341, 448, 279, 1633, 374, 220, 19, 15, 9961, 13, 21144, 1172, 1378, 7354, 13, 20517, 279, 10578, 315, 82133, 315, 17846, 271, 48, 16, 15, 271, 32, 2613, 1633, 374, 9099, 389, 279, 12435, 8024, 315, 4102, 4102, 64, 3529, 523, 64151, 17846, 315, 10578, 220, 17, 15, 9961, 518, 264, 6010, 315, 220, 18, 15, 9961, 13, 3216, 1246, 1753, 686, 279, 2309, 323, 1379, 315, 279, 2168, 11596, 11, 979, 264, 15279, 1365, 67936, 54691, 315, 8991, 315, 25755, 220, 21, 9961, 323, 19353, 3028, 1922, 220, 16, 13, 20, 374, 11523, 1948, 279, 12261, 315, 82133, 323, 279, 1633, 30, 576, 15279, 11067, 525, 76833, 311, 279, 12435, 8024 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2585, 23309, 2160, 3017, 23618, 36146, 1939, 1359, 271, 32, 10815, 594, 1482, 3081, 897, 13798, 389, 1181, 1828, 2734, 4379, 11, 476, 23821, 4379, 11, 3156, 448, 1181, 3579, 897, 323, 279, 1482, 3081, 2734, 4379, 13, 2619, 374, 264, 35972, 14806, 311, 11047, 1246, 1753, 697, 10815, 374, 5802, 11, 714, 4936, 2182, 11, 16062, 2734, 7813, 5240, 10815, 2750, 311, 5943, 1393, 15679, 2734, 7813, 5240, 10815, 2750, 311, 10000, 382, 565, 576, 31774, 315, 10815, 21219, 271, 4498, 264, 10815, 374, 1156, 10897, 11, 432, 374, 6088, 518, 264, 3654, 1346, 897, 320, 18654, 3881, 438, 3579, 897, 701, 892, 374, 11136, 32882, 16, 11, 15, 15, 15, 714, 1008, 14713, 525, 3204, 13, 1084, 1083, 702, 264, 10982, 2734, 4379, 3881, 438, 279, 23821, 4379, 11, 892, 374, 279, 3311, 315, 2734, 279, 10815, 21241, 438, 264, 11414, 315, 1181, 1346, 897, 13, 1752, 3110, 11, 264, 10815, 448, 264, 1346, 897, 315, 32882, 16, 11, 15, 15, 15, 323, 264, 23821, 4379, 315, 220, 20, 4, 1035, 2291, 32882, 20, 15, 304, 2734, 817, 1042, 382, 34556, 4379, 64549, 646, 614, 264, 2409, 5421, 389, 697, 10815, 594, 897, 13, 4654, 2530, 25, 20530, 11779, 382, 565, 2585, 2734, 7813, 7802, 10815, 2750, 271, 785, 3081, 897, 315, 264, 10815, 13798, 389, 1378, 9363, 1177, 279, 1482, 3081, 2734, 4379, 11, 323, 279, 10815, 594, 1346, 897, 13, 758, 35972, 3793, 11, 279, 3349, 315, 264, 10815, 374, 279, 2629, 315, 279, 3042, 2750, 315, 678, 315, 1181, 3853, 2734, 14173, 11, 5519, 1181, 1346, 897, 518, 47161, 13, 1416, 2734, 7813, 10000, 11, 279, 3042, 897, 315, 3853, 14173, 374, 2686, 382, 40, 3278, 23863, 498, 279, 6351, 14806, 1483, 311, 11047, 419, 11, 714, 1588, 594, 458, 23251, 315, 1246, 419, 4278, 304, 6588, 1447, 2461, 3110, 11, 1077, 594, 1977, 429, 498, 3695, 264, 220, 18, 15, 4666, 31891, 10815, 369, 32882, 16, 11, 15, 15, 15, 448, 264, 23821, 4379, 315, 220, 19, 13384, 773, 432, 21241, 32882, 19, 15, 817, 1042, 13, 1416, 279, 220, 18, 15, 4666, 31891, 4379, 34208, 311, 220, 20, 13384, 14823, 686, 1431, 1720, 419, 7540, 504, 862, 31891, 26363, 11, 476, 32882, 20, 15, 817, 32882, 16, 11, 15, 15, 15, 27991, 13, 8704, 18316, 374, 1172, 12515, 32882, 19, 15, 11, 279, 3081, 897, 1969, 4399, 304, 1973, 311, 1281, 697, 10815, 594, 7540, 803, 18879, 311, 501, 14823, 13, 2411, 264, 220, 20, 4, 2734, 4379, 11, 264, 10815, 429, 21241, 32882, 19, 15, 817, 1042, 1035, 387, 5802, 32882, 23, 15, 15, 382, 11209, 11, 2506, 304, 3971, 429, 279, 1346, 897, 315, 279, 10815, 374, 32882, 16, 11, 15, 15, 15, 11, 773, 458, 29593, 1035, 633, 1182, 32352, 803, 1091, 807, 2291, 5193, 47161, 13, 1096, 11367, 311, 279, 10815, 594, 7540, 311, 47161, 323, 3880, 311, 387, 4429, 1119, 17879, 13, 758, 8729, 11, 264, 220, 18, 15, 4666, 31891, 10815, 448, 264, 220, 19, 4, 23821, 4379, 304, 264, 220, 20, 4, 4379, 4573, 1035, 387, 5802, 911, 32882, 23, 19, 20, 11, 448, 279, 4960, 32882, 19, 20, 311, 45694, 369, 279, 3853, 11372, 3601, 504, 279, 10815, 594, 5080, 1346, 897, 382, 565, 2055, 11, 1246, 1753, 374, 697, 10815, 5802, 1939, 2354, 678, 315, 429, 304, 3971, 11, 1588, 594, 264, 3974, 29952, 429, 646, 1492, 498, 8253, 697, 10815, 594, 897, 476, 7023, 1128, 432, 1035, 387, 5802, 421, 2734, 7813, 1033, 311, 2297, 382, 32, 5625, 315, 8388, 1447, 6667, 330, 4896, 2690, 7540, 311, 47161, 1, 19257, 311, 279, 31787, 2734, 4379, 498, 4172, 1075, 311, 15442, 13, 3496, 847, 3110, 3685, 279, 29952, 624, 6667, 1416, 697, 10815, 374, 40922, 11, 432, 1231, 7802, 279, 10815, 594, 897, 11, 3118, 389, 279, 1618, 2400, 323, 3081, 2734, 4379, 13, 758, 419, 1142, 11, 279, 10815, 594, 7540, 311, 1618, 3880, 311, 387, 6509, 438, 1632, 382, 9, 36028, 374, 369, 41204, 9895, 1172, 11, 323, 374, 537, 5896, 9115, 476, 9462, 13, 1634, 448, 894, 5392, 11, 432, 374, 1172, 438, 13382, 438, 279, 31846, 432, 3643, 323, 279, 821, 432, 702, 11, 323, 1265, 537, 387, 39913, 389, 438, 264, 27679, 369, 264, 5896, 36613, 476, 264, 3742, 6584, 382, 2461, 3110, 11, 1077, 594, 1977, 429, 358, 1828, 264, 10815, 448, 264, 32882, 16, 11, 15, 15, 15, 1346, 897, 323, 264, 220, 20, 4, 23821, 4379, 11, 448, 220, 16, 17, 1635, 311, 47161, 13, 1205, 3278, 1977, 429, 279, 1482, 3081, 2734, 4379, 369, 26363, 448, 419, 47161, 3084, 374, 220, 19, 14360, 1597, 358, 1366, 311, 1414, 1128, 686, 3537, 311, 279, 897, 315, 847, 10815, 421, 279, 3081, 2734, 4379, 50660, 311, 220, 21, 34332, 11395, 11, 3118, 389, 3351, 594, 3081, 4379, 11, 847, 10815, 374, 5802, 32882, 16, 11, 15, 24, 20, 11, 476, 32882, 24, 20, 803, 1091, 1181, 1346, 897, 13, 4354, 11, 421, 279, 3081, 4379, 1033, 311, 10000, 311, 220, 21, 13384, 847, 10815, 594, 3081, 897, 1035, 5943, 311, 1101, 32882, 24, 16, 20, 382, 785, 32882, 16, 21, 11, 16, 17, 17, 9784, 8234, 12037, 1429, 96723, 6587, 30705, 198, 2679, 498, 2299, 1075, 1429, 8877, 11, 498, 2299, 264, 2421, 1635, 320, 269, 803, 8, 4815, 389, 697, 20950, 18986, 13, 1988, 264, 22955, 315, 2632, 21309, 330, 26317, 8234, 23594, 1, 1410, 1492, 5978, 264, 7760, 304, 697, 20950, 7911, 13, 1752, 3110, 25, 825, 4135, 14068, 1410, 2291, 498, 438, 1753, 438, 32882, 16, 21, 11, 16, 17, 17, 803, 1112, 1817, 1042, 0, 9646, 498, 3960, 1246, 311, 34508, 697, 9784, 8234, 7567, 11, 582, 1744, 498, 1410, 15800, 76976, 448, 279, 8919, 315, 3971, 582, 2299, 678, 1283, 808, 318, 2541, 4205, 1588, 311, 6997, 1246, 311, 3960, 803, 911, 1493, 14830, 382, 785, 18977, 3179, 71535, 702, 264, 27857, 4842, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 18977, 39127, 369, 3270, 5239, 271, 1986, 374, 279, 220, 19, 339, 949, 315, 264, 7299, 28037, 4013, 5010, 1736, 389, 33479, 304, 60957, 2449, 382, 785, 19966, 12, 16, 24, 27422, 702, 7117, 264, 2696, 315, 6529, 311, 3920, 315, 60957, 2449, 323, 803, 11689, 311, 279, 5257, 35972, 4119, 429, 525, 1483, 311, 6051, 584, 2820, 10186, 13, 21455, 702, 1012, 4460, 311, 3535, 279, 6513, 476, 47308, 315, 501, 5048, 323, 4460, 311, 7023, 279, 5871, 94529, 4963, 13, 1096, 5010, 1736, 13553, 311, 10339, 279, 40482, 369, 1045, 315, 279, 1429, 1483, 4119, 323, 40216, 268, 279, 6604, 389, 1378, 1376, 3501, 382, 6025, 31918, 279, 18940, 315, 43498, 278, 2022, 323, 8457, 29195, 304, 279, 1156, 5010, 1736, 11, 279, 2086, 949, 6966, 518, 264, 72349, 34776, 6291, 369, 279, 5052, 2801, 1614, 14078, 11, 323, 279, 6239, 315, 279, 5029, 57960, 19127, 54876, 57960, 24912, 54876, 323, 57960, 32214, 3, 304, 5479, 220, 16, 323, 220, 17, 382, 5800, 220, 18, 1865, 279, 5693, 429, 1429, 4119, 10034, 3842, 11591, 8457, 29195, 304, 4694, 315, 43764, 7042, 11591, 57960, 24912, 3, 323, 57960, 32214, 3, 5029, 323, 8542, 1045, 2409, 90267, 1948, 5042, 19966, 12, 16, 24, 18927, 42685, 369, 1846, 5029, 323, 1846, 1483, 304, 3412, 382, 1986, 220, 19, 339, 949, 374, 1380, 358, 1936, 264, 34776, 5052, 2801, 1614, 429, 4990, 1119, 2692, 1493, 18927, 42685, 304, 1973, 311, 51043, 279, 1614, 438, 3265, 311, 19966, 12, 16, 24, 821, 438, 3204, 382, 565, 16858, 264, 95240, 1614, 271, 2121, 16087, 311, 279, 72349, 1614, 504, 3660, 220, 17, 11, 419, 1614, 374, 2087, 311, 5244, 389, 3842, 2188, 8457, 29195, 311, 1614, 279, 8457, 53643, 382, 785, 6770, 4522, 315, 419, 1614, 374, 311, 614, 264, 38228, 448, 279, 1372, 315, 6978, 6144, 311, 279, 7042, 1379, 320, 9547, 3842, 374, 264, 2802, 8, 323, 1378, 8147, 1447, 6667, 3234, 3250, 311, 7512, 279, 1584, 315, 1817, 3842, 320, 50, 11, 468, 11, 358, 11, 476, 431, 340, 6667, 6059, 3250, 311, 3581, 279, 1899, 315, 9142, 315, 279, 3842, 1119, 429, 1584, 271, 11209, 11, 279, 7042, 11591, 7813, 315, 18368, 2058, 3796, 1588, 600, 1734, 13, 264, 1697, 5780, 504, 328, 11397, 468, 2701, 2326, 3501, 1447, 16, 13, 279, 1372, 315, 18508, 279, 1697, 702, 817, 4982, 882, 320, 41968, 553, 400, 81, 3, 340, 17, 13, 279, 6012, 264, 2661, 3645, 374, 448, 458, 358, 481, 49500, 3842, 320, 1782, 5080, 1221, 890, 315, 358, 11, 279, 5080, 279, 6012, 340, 18, 13, 279, 6012, 315, 458, 328, 59406, 279, 8457, 504, 264, 3645, 448, 458, 358, 320, 41968, 553, 57960, 40322, 3, 692, 1986, 374, 2814, 357, 4953, 35319, 382, 12522, 264, 1697, 9044, 468, 11, 862, 32724, 374, 4911, 311, 1105, 13, 1096, 32724, 374, 16588, 304, 11912, 369, 54480, 2874, 11, 714, 432, 6147, 311, 990, 279, 882, 21305, 1897, 3977, 582, 1366, 382, 2, 17908, 49735, 198, 0, 51501, 4582, 7089, 398, 418, 19, 13, 16, 19, 13, 18, 198, 474, 18617, 438, 7744, 198, 474, 8591, 438, 2595, 198, 474, 6888, 198, 474, 7089, 398, 10763, 24873, 438, 728, 198, 474, 7089, 398, 2223, 1873, 438, 17146, 198, 1499, 28090, 29856, 1159, 505, 618, 198, 1499, 28090, 29856, 1159, 21619, 198, 1499, 28090, 29856, 1159, 582, 579, 617, 7260, 198, 1499, 8591, 7829, 1159, 1638, 66849, 198, 69890, 284, 1638, 66849, 2822, 2, 6771, 594, 1936, 264, 34776, 6291, 198, 750, 511, 404, 5047, 38250, 11, 58477, 11, 2849, 982, 50, 62, 15, 11, 468, 62, 15, 11, 358, 62, 15, 11, 431, 62, 15, 284, 2930, 198, 36, 15360, 11, 358, 15360, 11, 431, 15360, 284, 508, 15, 1125, 508, 15, 1125, 508, 15, 921, 50, 11, 468, 11, 358, 11, 431, 284, 508, 50, 62, 15, 1125, 508, 36, 62, 15, 1125, 508, 40, 62, 15, 1125, 508, 49, 62, 15, 921, 8047, 28, 15, 13, 16, 198, 83, 284, 2595, 38712, 7, 15, 11991, 942, 9871, 42595, 3446, 83, 1171, 24912, 11, 13440, 11, 9015, 284, 58477, 198, 1958, 716, 304, 259, 58, 16, 75781, 3600, 1098, 284, 328, 7609, 16, 60, 481, 13440, 68207, 7609, 16, 8465, 40, 7609, 16, 8465, 8047, 198, 36, 15360, 2057, 75883, 68207, 7609, 16, 8465, 40, 7609, 16, 8465, 8047, 340, 3600, 2089, 284, 468, 7609, 16, 60, 488, 320, 19127, 68207, 7609, 16, 8465, 40, 7609, 16, 60, 481, 20254, 9, 36, 7609, 16, 47683, 8047, 198, 40, 15360, 2057, 86378, 9, 36, 7609, 16, 8465, 8047, 340, 3600, 7959, 284, 358, 7609, 16, 60, 488, 320, 24912, 9, 36, 7609, 16, 60, 481, 9015, 89242, 7609, 16, 47683, 8047, 198, 49, 15360, 2057, 3268, 309, 89242, 7609, 16, 8465, 8047, 340, 3600, 2568, 284, 431, 7609, 16, 60, 488, 320, 39329, 89242, 7609, 16, 47683, 8047, 198, 50, 2057, 16913, 1098, 340, 36, 2057, 16913, 2089, 340, 40, 2057, 16913, 7959, 340, 49, 2057, 16913, 2568, 340, 689, 2595, 22420, 2561, 50, 11, 468, 11, 358, 11, 431, 11, 11020, 67, 11, 358, 15360, 11, 431, 15360, 10697, 51, 271, 47504, 287, 7089, 398, 418, 19, 13, 16, 19, 13, 18, 198, 91, 51678, 51678, 51678, 51678, 51678, 51678, 51678, 51678, 91, 220, 16, 18, 13, 17, 8412, 220, 18, 15, 18, 81524, 2687, 198, 75802, 2669, 19527, 25, 22683, 287, 9922, 16, 13, 18, 13, 18, 304, 608, 7063, 22270, 8194, 23266, 18, 13, 22, 19537, 75761, 320, 1499, 7089, 398, 418, 19, 13, 16, 19, 13, 18, 8, 320, 16, 13, 18, 13, 18, 340, 75802, 2669, 19527, 25, 4743, 304, 608, 7063, 22270, 8194, 23266, 18, 13, 22, 19537, 75761, 320, 1499, 7089, 398, 418, 19, 13, 16, 19, 13, 18, 8, 320, 16, 13, 16, 20, 13, 15, 340, 62603, 14548, 14185, 25, 7089, 398, 198, 6650, 6350, 13713, 25, 7089, 398, 220, 19, 13, 19, 13, 16, 198, 1806, 12248, 287, 7089, 398, 12, 19, 13, 19, 13, 16, 510, 35959, 650, 49573, 7089, 398, 12, 19, 13, 19, 13, 16, 198, 35959, 10275, 7089, 398, 12, 19, 13, 16, 19, 13, 18, 1406, 14374, 31306, 279, 2856, 7042, 38228, 271, 38214, 374, 264, 729, 311, 1855, 279, 2856, 7042, 38228, 1447, 6667, 400, 79, 3, 374, 279, 7042, 1372, 198, 6667, 400, 2413, 2089, 3, 374, 279, 1372, 315, 1251, 14900, 389, 1899, 220, 15, 198, 6667, 400, 2413, 7959, 3, 374, 279, 1372, 315, 49500, 389, 1899, 220, 15, 198, 6667, 400, 2413, 2568, 3, 374, 279, 1372, 315, 1251, 25335, 389, 1899, 220, 15, 271, 2, 17908, 49735, 198, 2, 14656, 419, 501, 729, 369, 1614, 3685, 510, 750, 1281, 10894, 1295, 11, 1629, 7959, 11, 1629, 2568, 982, 2940, 284, 7744, 21077, 9900, 21534, 1188, 79, 11, 16, 701, 364, 50, 1823, 51, 58, 15, 1125, 8147, 13987, 1397, 7368, 2940, 677, 9490, 660, 284, 220, 15, 198, 2940, 677, 16749, 660, 284, 320, 6199, 7829, 7829, 1295, 4806, 18, 20, 10, 16, 20, 568, 21754, 1548, 340, 983, 3373, 60884, 14664, 16131, 968, 29265, 1295, 11, 1379, 46901, 7959, 10, 2413, 2568, 11, 8290, 5608, 22987, 1397, 7204, 1252, 198, 2940, 14664, 66299, 3373, 58, 15, 55268, 7959, 33538, 1397, 660, 284, 364, 40, 1248, 2940, 14664, 66299, 3373, 23265, 7959, 55268, 7959, 10, 2413, 2568, 33538, 1397, 660, 284, 364, 49, 1248, 689, 6764, 1406, 14374, 16858, 279, 1614, 271, 2, 6199, 7829, 7829, 6856, 4539, 79, 11991, 942, 1171, 2, 6199, 1665, 7, 19, 340, 73, 28, 16, 16, 198, 1975, 284, 220, 16, 15, 198, 2, 16, 15, 14, 6199, 96559, 1242, 9900, 31790, 7, 16, 15, 15, 1171, 15, 13, 15, 20, 488, 320, 15, 13, 18, 14, 6199, 13754, 1188, 73, 10, 16, 28252, 5620, 16, 15, 4390, 15, 13, 17, 24, 20, 21, 16, 24, 17, 17, 20, 24, 17, 18, 18, 24, 19, 20, 22, 271, 2, 17908, 49735, 198, 750, 511, 404, 5047, 1261, 4953, 75883, 11, 13440, 17, 11, 281, 11, 1629, 7959, 11, 1629, 2568, 11, 1635, 11, 350, 25972, 3751, 1223, 11, 33879, 11, 2524, 7731, 2, 9008, 7042, 38228, 448, 821, 2661, 553, 1196, 198, 2940, 284, 1281, 10894, 1295, 11, 1629, 7959, 11, 1629, 2568, 692, 2, 1096, 3890, 374, 1483, 311, 3754, 7298, 897, 315, 13440, 421, 432, 34227, 916, 882, 198, 4146, 19127, 17418, 7234, 40056, 47727, 33815, 692, 2, 9008, 279, 18386, 311, 470, 198, 2, 21193, 525, 5109, 315, 328, 11, 358, 11, 431, 2790, 198, 50, 17418, 7234, 40056, 47727, 16563, 340, 40, 17418, 7234, 40056, 47727, 16563, 340, 49, 17418, 7234, 40056, 47727, 16563, 340, 2, 21193, 525, 279, 7298, 37214, 304, 328, 11, 358, 11, 431, 198, 6406, 67, 17418, 7234, 40056, 47727, 16563, 340, 40, 15360, 17418, 7234, 40056, 47727, 16563, 340, 49, 15360, 17418, 7234, 40056, 47727, 16563, 692, 65, 28, 19127, 198, 2, 65, 17, 28, 19127, 58, 15, 921, 65, 17, 17418, 7234, 40056, 47727, 33815, 340, 65, 16, 22086, 271, 2, 8286, 47316, 927, 287, 13440, 198, 1975, 284, 220, 15, 271, 2, 8286, 835, 315, 16375, 4152, 311, 33879, 198, 471, 16, 284, 220, 15, 198, 471, 17, 284, 220, 15, 271, 2, 794, 65954, 1614, 773, 990, 4194, 2750, 311, 10279, 389, 32724, 198, 11335, 284, 2595, 7829, 7829, 6856, 4539, 79, 11, 41720, 4390, 2, 39630, 421, 498, 1366, 58755, 11, 21619, 11, 476, 1205, 579, 617, 7982, 369, 350, 25972, 3751, 1223, 198, 2, 38823, 42685, 1730, 389, 5010, 949, 220, 18, 198, 333, 350, 25972, 3751, 1223, 621, 364, 327, 618, 3646, 40, 983, 49, 284, 505, 618, 1746, 11562, 22649, 28, 15, 10671, 2246, 28, 16, 15, 35591, 17385, 340, 12458, 350, 25972, 3751, 1223, 621, 364, 32214, 3646, 40, 983, 49, 284, 21619, 1746, 11562, 7, 19, 11, 1074, 28, 18, 10671, 2246, 28, 17, 35591, 17385, 340, 1503, 510, 40, 983, 49, 284, 582, 579, 617, 7260, 1746, 11562, 7, 17, 13, 18, 11, 1329, 28, 17, 11, 5452, 28, 17, 15, 13, 16, 16, 11, 1379, 17385, 692, 2, 54340, 916, 1449, 1899, 279, 19038, 374, 1598, 198, 1958, 502, 304, 2088, 7, 15, 11, 41720, 12, 16, 7731, 2, 13583, 7298, 13440, 2750, 198, 4146, 19127, 17418, 2057, 2075, 7929, 1915, 11, 293, 3809, 9604, 2, 5512, 582, 633, 279, 1922, 315, 279, 7775, 429, 686, 2297, 1584, 3351, 1447, 2, 10612, 1372, 10742, 498, 892, 364, 50, 6, 614, 1012, 14900, 389, 419, 1899, 198, 2, 623, 78, 36, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 11335, 9624, 73, 60, 366, 293, 3809, 8465, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 39193, 79, 26169, 1252, 198, 333, 33879, 366, 220, 17, 510, 623, 78, 40, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 2940, 92675, 366, 220, 19, 24, 8, 609, 320, 11335, 9624, 73, 60, 366, 293, 3809, 8465, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 2467, 11884, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 47966, 2892, 9900, 18001, 16060, 18942, 9277, 50, 13285, 15, 80403, 936, 1252, 198, 623, 72743, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 2940, 92675, 366, 220, 19, 24, 8, 609, 320, 11335, 9624, 73, 60, 366, 293, 3809, 8465, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 2467, 11884, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 47966, 2892, 9900, 18001, 16060, 18942, 9277, 50, 13285, 15, 80403, 936, 1252, 198, 12458, 33879, 621, 220, 17, 510, 333, 1947, 17, 621, 220, 15, 510, 623, 78, 40, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 2940, 92675, 366, 220, 19, 24, 8, 609, 320, 11335, 9624, 73, 60, 366, 293, 3809, 8465, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 2467, 11884, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 47966, 2892, 9900, 18001, 16060, 18942, 9277, 50, 13285, 15, 80403, 936, 1252, 198, 623, 72743, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 2940, 92675, 366, 220, 19, 24, 8, 609, 320, 11335, 9624, 73, 60, 366, 293, 3809, 8465, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 2467, 11884, 2892, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 47966, 2892, 9900, 18001, 16060, 18942, 9277, 50, 13285, 15, 80403, 936, 1252, 198, 12458, 1947, 17, 621, 220, 16, 510, 623, 78, 40, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 2940, 92675, 861, 220, 20, 20, 26169, 1252, 198, 623, 72743, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 2940, 92675, 366, 220, 19, 24, 26169, 1252, 271, 623, 78, 6590, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 50, 863, 609, 320, 2940, 92675, 621, 220, 19, 24, 26169, 1252, 271, 2, 1752, 1817, 2802, 11, 421, 264, 1697, 702, 1012, 264, 3654, 1372, 315, 2849, 304, 468, 11, 807, 686, 728, 311, 358, 198, 2, 1096, 11017, 468, 983, 40, 3890, 892, 374, 2987, 58755, 476, 21619, 4237, 4092, 311, 3403, 198, 2, 36, 983, 40, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 36, 863, 609, 320, 73, 1737, 69, 49169, 2604, 468, 983, 40, 26169, 1252, 271, 2, 21476, 5774, 438, 3403, 198, 2, 1752, 1817, 2802, 11, 421, 264, 1697, 702, 1012, 264, 3654, 1372, 315, 2849, 304, 358, 11, 807, 686, 728, 311, 431, 198, 2, 1096, 11017, 468, 983, 40, 3890, 892, 374, 2987, 58755, 476, 21619, 4237, 4092, 311, 3403, 198, 40, 983, 6590, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 40, 863, 609, 320, 2940, 92675, 621, 220, 19, 24, 26169, 1252, 198, 333, 33879, 621, 220, 15, 25, 671, 15007, 944, 990, 33879, 198, 40, 983, 49, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 40, 863, 609, 320, 73, 1737, 69, 43629, 2604, 358, 983, 49, 8, 609, 320, 2940, 92675, 366, 220, 19, 24, 26169, 1252, 198, 40, 983, 40, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 40, 863, 609, 320, 73, 1737, 69, 43629, 366, 358, 983, 49, 8, 609, 320, 2940, 92675, 366, 220, 19, 24, 26169, 1252, 198, 12458, 33879, 861, 220, 15, 510, 333, 1947, 17, 621, 220, 15, 510, 40, 983, 49, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 40, 863, 609, 320, 73, 1737, 69, 43629, 2604, 358, 983, 49, 8, 609, 320, 2940, 92675, 366, 220, 19, 24, 26169, 1252, 198, 40, 983, 40, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 40, 863, 609, 320, 73, 1737, 69, 43629, 366, 358, 983, 49, 8, 609, 320, 2940, 92675, 366, 220, 19, 24, 26169, 1252, 198, 12458, 1947, 17, 621, 16, 510, 40, 983, 49, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 40, 863, 609, 320, 2940, 92675, 861, 220, 19, 24, 26169, 1252, 198, 40, 983, 40, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 40, 863, 609, 320, 2940, 92675, 366, 220, 19, 24, 26169, 1252, 271, 49, 983, 6590, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 49, 863, 609, 320, 2940, 92675, 621, 220, 19, 24, 26169, 1252, 198, 49, 983, 49, 3560, 284, 6764, 14664, 9697, 2940, 18942, 621, 364, 49, 863, 609, 320, 2940, 92675, 366, 220, 19, 24, 26169, 1252, 271, 2, 5443, 24953, 14548, 3403, 311, 30446, 817, 1899, 2750, 198, 2, 36, 15360, 284, 2595, 2057, 10722, 15360, 29619, 7, 623, 78, 36, 3560, 1171, 2, 40, 15360, 284, 2595, 2057, 8972, 15360, 29619, 10722, 983, 40, 3560, 1171, 40, 15360, 284, 2595, 2057, 8972, 15360, 29619, 7, 623, 78, 40, 3560, 1171, 49, 15360, 284, 2595, 2057, 2785, 15360, 29619, 8972, 983, 49, 3560, 4390, 2, 4695, 582, 990, 279, 24953, 14548, 3403, 26618, 311, 2297, 279, 5042, 7042, 38228, 311, 279, 501, 5302, 198, 2940, 31968, 45412, 983, 6590, 3560, 60, 284, 2509, 50, 516, 502, 11, 220, 16, 20, 921, 2940, 14664, 45412, 983, 49, 3560, 11, 2509, 1397, 1844, 9490, 30840, 284, 2509, 50, 516, 502, 921, 2940, 14664, 45412, 983, 49, 3560, 11, 364, 16749, 660, 284, 6764, 14664, 45412, 983, 49, 3560, 11, 364, 16749, 660, 488, 220, 16, 198, 2940, 14664, 45412, 983, 40, 3560, 11, 364, 16749, 660, 284, 6764, 14664, 45412, 983, 40, 3560, 11, 364, 16749, 660, 488, 220, 16, 198, 2940, 31968, 58, 623, 78, 6590, 3560, 60, 284, 2509, 50, 516, 502, 11, 220, 16, 20, 921, 2940, 14664, 58, 623, 78, 40, 3560, 11, 2509, 1397, 1844, 9490, 30840, 284, 2509, 40, 516, 502, 921, 2940, 14664, 58, 623, 78, 40, 3560, 11, 364, 16749, 660, 284, 6764, 14664, 58, 623, 78, 40, 3560, 11, 364, 16749, 660, 488, 220, 16, 198, 2940, 14664, 58, 623, 72743, 3560, 11, 364, 16749, 660, 284, 6764, 14664, 58, 623, 72743, 3560, 11, 364, 16749, 660, 488, 220, 16, 271, 2940, 31968, 44987, 983, 6590, 3560, 60, 284, 2509, 50, 516, 502, 11, 220, 16, 20, 921, 2940, 14664, 44987, 983, 49, 3560, 11, 364, 16749, 660, 284, 6764, 14664, 44987, 983, 49, 3560, 11, 364, 16749, 660, 488, 220, 16, 271, 2, 29807, 279, 328, 11, 358, 11, 323, 431, 18386, 198, 50, 17418, 2057, 3759, 29619, 9900, 18001, 16060, 18942, 9277, 50, 13285, 15, 10907, 40, 17418, 2057, 8972, 29619, 9900, 18001, 16060, 18942, 9277, 40, 13285, 15, 10907, 49, 17418, 2057, 2785, 29619, 9900, 18001, 16060, 18942, 9277, 49, 13285, 15, 36928, 2, 6119, 3685, 369, 2524, 10953, 311, 7949, 13440, 2750, 198, 333, 2524, 621, 220, 16, 510, 333, 320, 40, 7609, 16, 9769, 79, 861, 220, 15, 13, 15, 16, 20, 982, 471, 16, 284, 220, 16, 198, 333, 916, 621, 220, 15, 510, 1975, 284, 502, 271, 333, 1947, 16, 621, 220, 16, 510, 333, 502, 861, 916, 488, 220, 16, 20, 510, 2653, 358, 15360, 7609, 17, 60, 861, 358, 15360, 7609, 16, 10343, 471, 17, 284, 220, 16, 271, 333, 916, 961, 220, 15, 510, 2, 65, 284, 13440, 17, 13362, 65, 16, 14, 6199, 13754, 1188, 73, 10, 18, 28252, 5620, 16, 20, 1171, 65, 284, 13440, 17, 13362, 65, 16, 14, 6199, 13754, 1188, 73, 10, 16, 28252, 5620, 16, 15, 4390, 333, 2524, 621, 220, 17, 510, 333, 320, 40, 7609, 16, 9769, 79, 861, 220, 15, 13, 18, 982, 471, 16, 284, 220, 16, 198, 333, 916, 621, 220, 15, 510, 1975, 284, 502, 198, 23664, 7, 1975, 692, 333, 1947, 16, 621, 220, 16, 510, 333, 502, 861, 916, 488, 220, 16, 20, 510, 2653, 358, 15360, 7609, 17, 60, 861, 358, 15360, 7609, 16, 10343, 471, 17, 284, 220, 16, 271, 333, 916, 961, 220, 15, 510, 2, 65, 284, 13440, 17, 13362, 65, 16, 14, 6199, 13754, 1188, 73, 10, 18, 28252, 5620, 16, 20, 1171, 65, 284, 13440, 17, 13362, 65, 16, 14, 6199, 13754, 1188, 73, 10, 16, 28252, 5620, 16, 15, 4390, 4146, 19127, 17, 284, 1781, 50, 3809, 12, 16, 7574, 40, 3809, 12, 16, 39193, 40, 3809, 12, 16, 47683, 40, 15360, 3809, 9769, 50, 3809, 12, 16, 921, 2, 4146, 19127, 17, 284, 220, 15, 13, 20, 198, 23664, 2075, 7929, 1915, 17, 340, 65, 17, 284, 2595, 2057, 1883, 17, 11, 856, 7929, 1915, 17, 692, 2, 36, 15360, 58, 15, 48705, 2413, 2089, 198, 40, 15360, 58, 15, 48705, 2413, 7959, 198, 49, 15360, 58, 15, 48705, 2413, 2568, 271, 2, 689, 328, 42125, 37768, 23508, 11, 11020, 67, 11, 358, 15360, 11, 431, 15360, 11, 856, 7929, 1915, 198, 689, 328, 11, 358, 11, 431, 11, 3089, 67, 11, 358, 15360, 11, 431, 15360, 11, 856, 7929, 1915, 11, 293, 17, 11, 916, 1406, 565, 26768, 279, 1614, 271, 2, 17908, 49735, 198, 2, 18614, 5029, 369, 95240, 1614, 198, 13778, 284, 220, 17, 15, 15, 198, 79, 284, 220, 16, 15, 15, 15, 15, 198, 2413, 2089, 284, 220, 15, 198, 2413, 7959, 284, 220, 16, 198, 2413, 2568, 284, 220, 15, 198, 19127, 1261, 4953, 284, 220, 15, 13, 18, 39005, 31790, 42595, 340, 19127, 1261, 4953, 17, 284, 220, 15, 13, 15, 20, 271, 2, 6452, 220, 18, 95240, 46490, 198, 8074, 1261, 4953, 16, 284, 511, 404, 5047, 1261, 4953, 75883, 1261, 4953, 8402, 1915, 1261, 4953, 17, 11, 281, 11, 1629, 7959, 11, 1629, 2568, 11, 1635, 11, 364, 32214, 516, 220, 15, 11, 220, 16, 340, 8074, 1261, 4953, 17, 284, 511, 404, 5047, 1261, 4953, 75883, 1261, 4953, 11, 13440, 1261, 4953, 17, 11, 281, 11, 1629, 7959, 11, 1629, 2568, 11, 1635, 11, 364, 32214, 516, 220, 15, 11, 220, 16, 340, 8074, 1261, 4953, 18, 284, 511, 404, 5047, 1261, 4953, 75883, 1261, 4953, 11, 13440, 1261, 4953, 17, 11, 281, 11, 1629, 7959, 11, 1629, 2568, 11, 1635, 11, 364, 32214, 516, 220, 15, 11, 220, 17, 340, 8074, 1261, 4953, 19, 284, 511, 404, 5047, 1261, 4953, 75883, 1261, 4953, 11, 13440, 1261, 4953, 17, 11, 281, 11, 1629, 7959, 11, 1629, 2568, 11, 1635, 11, 364, 32214, 516, 220, 15, 11, 220, 17, 692, 8074, 1261, 4953, 16, 58, 23, 2533, 17, 21, 271, 2, 17908, 49735, 198, 904, 284, 728, 991, 9811, 2592, 33199, 3346, 18326, 1650, 3153, 1131, 64811, 1261, 4953, 16, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 16, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 16, 58, 21, 1125, 1555, 12854, 43519, 9987, 16119, 1844, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 16, 4461, 3346, 18326, 1650, 3153, 1131, 64811, 95786, 16, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 16, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 16, 58, 22, 1125, 1555, 12854, 43519, 9987, 16119, 1844, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 16, 4461, 3346, 18326, 1650, 3153, 1131, 40, 1261, 4953, 16, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 16, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 16, 58, 16, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 1151, 24731, 13016, 4074, 428, 267, 4953, 16, 4461, 3346, 40520, 3153, 1131, 23378, 1261, 4953, 16, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 16, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 16, 58, 19, 8465, 16, 15, 4322, 11, 13016, 4074, 428, 267, 4953, 16, 4461, 3346, 18326, 1650, 3153, 1131, 49, 1261, 4953, 16, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 16, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 16, 58, 17, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 13250, 24731, 13016, 4074, 428, 267, 4953, 16, 4461, 3346, 18326, 1650, 3153, 1131, 64811, 1261, 4953, 17, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 17, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 17, 58, 21, 1125, 1555, 12854, 43519, 9987, 16119, 1844, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 17, 4461, 3346, 18326, 1650, 3153, 1131, 64811, 95786, 17, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 17, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 17, 58, 22, 1125, 1555, 12854, 43519, 9987, 16119, 1844, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 17, 4461, 3346, 18326, 1650, 3153, 1131, 40, 1261, 4953, 17, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 17, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 17, 58, 16, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 1151, 24731, 13016, 4074, 428, 267, 4953, 17, 4461, 3346, 40520, 3153, 1131, 23378, 1261, 4953, 17, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 17, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 17, 58, 19, 8465, 16, 15, 4322, 11, 13016, 4074, 428, 267, 4953, 17, 4461, 3346, 18326, 1650, 3153, 1131, 49, 1261, 4953, 17, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 17, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 17, 58, 17, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 13250, 24731, 13016, 4074, 428, 267, 4953, 17, 4461, 3346, 18326, 1650, 3153, 1131, 64811, 1261, 4953, 18, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 18, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 18, 58, 21, 1125, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 18, 4461, 3346, 18326, 1650, 3153, 1131, 64811, 95786, 18, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 18, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 18, 58, 22, 1125, 1555, 12854, 43519, 9987, 16119, 1844, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 18, 4461, 3346, 18326, 1650, 3153, 1131, 40, 1261, 4953, 18, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 18, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 18, 58, 16, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 1151, 24731, 13016, 4074, 428, 267, 4953, 18, 4461, 3346, 40520, 3153, 1131, 23378, 1261, 4953, 18, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 18, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 18, 58, 19, 8465, 16, 15, 4322, 11, 13016, 4074, 428, 267, 4953, 18, 4461, 3346, 18326, 1650, 3153, 1131, 49, 1261, 4953, 18, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 18, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 18, 58, 17, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 13250, 24731, 13016, 4074, 428, 267, 4953, 18, 4461, 3346, 18326, 1650, 3153, 1131, 64811, 1261, 4953, 19, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 19, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 19, 58, 21, 1125, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 19, 4461, 3346, 18326, 1650, 3153, 1131, 64811, 95786, 19, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 19, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 19, 58, 22, 1125, 1555, 12854, 43519, 9987, 16119, 1844, 3423, 9987, 27869, 24731, 13016, 4074, 428, 267, 4953, 19, 4461, 3346, 18326, 1650, 3153, 1131, 40, 1261, 4953, 19, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 19, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 19, 58, 16, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 1151, 24731, 13016, 4074, 428, 267, 4953, 19, 4461, 3346, 40520, 3153, 1131, 23378, 1261, 4953, 19, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 19, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 19, 58, 19, 8465, 16, 15, 4322, 11, 13016, 4074, 428, 267, 4953, 19, 4461, 3346, 18326, 1650, 3153, 1131, 49, 1261, 4953, 19, 516, 856, 17418, 24315, 6901, 20484, 1261, 4953, 19, 58, 15, 69068, 379, 28, 8074, 1261, 4953, 19, 58, 17, 9769, 79, 11, 1555, 12854, 43519, 9987, 16119, 516, 364, 3423, 9987, 13250, 24731, 13016, 4074, 428, 267, 4953, 19, 1138, 9604, 904, 5317, 14466, 1006, 87, 7184, 6112, 284, 364, 10159, 751, 88, 7184, 6112, 284, 364, 1336, 15388, 315, 7042, 751, 2102, 17554, 944, 427, 1210, 81, 44701, 59, 1318, 90, 7738, 315, 95240, 487, 389, 34907, 4532, 5052, 2801, 1614, 31716, 751, 6, 87, 1210, 15, 13, 20, 345, 6, 87, 17109, 9987, 3057, 1248, 532, 692, 904, 5460, 368 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 14582, 271, 2, 362, 51424, 23380, 7314, 702, 264, 3084, 315, 220, 16, 19, 7541, 11, 264, 2374, 315, 220, 17, 21, 7541, 323, 264, 7990, 315, 220, 20, 7541, 13, 17097, 11253, 311, 279, 23480, 7739, 339, 438, 4362, 13, 400, 64, 3, 2585, 1657, 40899, 7541, 315, 3015, 646, 279, 7314, 3331, 30, 40899, 7541, 400, 65, 3, 576, 13963, 13230, 21274, 279, 7314, 311, 220, 24, 20, 4, 8654, 13, 2585, 1657, 40899, 7541, 315, 3015, 374, 419, 30, 40899, 7541, 271, 17, 17, 15, 271, 25039, 198, 16, 16, 15, 17, 6194, 271, 565, 21806, 311, 264, 6888, 3405, 362, 51424, 23380, 7314, 702, 264, 3084, 315, 220, 16, 19, 7541, 11, 264, 2374, 315, 220, 17, 21, 7541, 323, 264, 7990, 315, 220, 20, 7541, 13, 17097, 11253, 311, 279, 23480, 7739, 339, 438, 4362, 13, 400, 64, 3, 2585, 1657, 40899, 7541, 315, 3015, 646, 279, 7314, 3331, 30, 40899, 7541, 400, 65, 3, 576, 13963, 13230, 21274, 279, 7314, 311, 220, 24, 20, 4, 8654, 13, 2585, 1657, 40899, 7541, 315, 3015, 374, 419, 30, 40899, 7541, 271, 6582, 1064, 78, 198, 19, 13, 21, 198, 39562, 3, 2014, 1477, 279, 8123, 315, 279, 51424, 23380, 7314, 11, 582, 1184, 311, 30270, 1181, 3084, 11, 2374, 11, 323, 7990, 382, 785, 8123, 315, 264, 51424, 93610, 646, 387, 1730, 1667, 279, 14806, 1447, 59, 1318, 2979, 18902, 3417, 284, 1124, 1318, 2979, 4129, 3417, 1124, 15136, 1124, 1318, 2979, 3098, 3417, 1124, 15136, 1124, 1318, 2979, 17561, 47449, 22043, 510, 4373, 400, 43, 3, 284, 220, 16, 19, 7541, 198, 3327, 400, 54, 3, 284, 220, 17, 21, 7541, 198, 19776, 400, 35, 3, 284, 220, 20, 7541, 271, 3136, 3696, 10607, 279, 2750, 1119, 279, 14806, 1447, 59, 1318, 2979, 18902, 3417, 284, 220, 16, 19, 1124, 15136, 220, 17, 21, 1124, 15136, 220, 20, 271, 57908, 1095, 419, 1447, 59, 1318, 2979, 18902, 3417, 284, 220, 16, 23, 17, 15, 1124, 1318, 2979, 40899, 7541, 47449, 54815, 11, 279, 7314, 646, 3331, 220, 16, 23, 17, 15, 40899, 7541, 315, 3015, 382, 67284, 3, 2014, 1477, 279, 3311, 315, 3015, 311, 5155, 279, 7314, 311, 220, 24, 20, 4, 8654, 11, 582, 1184, 311, 30270, 279, 8123, 315, 279, 7314, 553, 220, 24, 20, 34332, 785, 3311, 315, 3015, 374, 2661, 553, 1447, 59, 1318, 2979, 10093, 315, 3015, 3417, 284, 1124, 1318, 2979, 18902, 315, 7314, 3417, 1124, 15136, 1124, 2359, 58736, 37018, 2979, 24, 20, 77286, 16, 15, 15, 3417, 1124, 1291, 66426, 3136, 3696, 10607, 279, 897, 315, 279, 8123, 315, 279, 7314, 1447, 59, 1318, 2979, 10093, 315, 3015, 3417, 284, 220, 16, 23, 17, 15, 1124, 15136, 1124, 2359, 58736, 37018, 2979, 24, 20, 77286, 16, 15, 15, 3417, 1124, 1291, 66426, 57908, 1095, 419, 1447, 59, 1318, 2979, 10093, 315, 3015, 3417, 284, 220, 16, 22, 17, 24, 1124, 1318, 2979, 40899, 7541, 47449, 54815, 11, 21274, 279, 7314, 311, 220, 24, 20, 4, 8654, 1035, 1373, 220, 16, 22, 17, 24, 40899, 7541, 315, 3015, 382, 37, 69841, 4588, 4755, 400, 54932, 82, 25046, 14582, 25, 3555, 374, 279, 897, 315, 282, 62983, 3, 284, 220, 18, 87, 29456, 481, 220, 19, 87, 488, 220, 17, 979, 856, 284, 220, 20, 30 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11113, 220, 16, 19, 220, 16, 26984, 44535, 271, 16997, 553, 510, 20970, 198, 15930, 198, 6913, 16635, 198, 5072, 510, 21, 20, 198, 43082, 510, 21, 14, 16, 21, 14, 17, 15, 16, 17, 198, 11528, 510, 10781, 510, 18, 198, 7524, 19143, 271, 73594, 1662, 197, 9620, 220, 16, 19, 13, 16, 26984, 44535, 271, 16, 13, 362, 11079, 4588, 1059, 220, 23, 61369, 13142, 4143, 311, 3255, 279, 2790, 3311, 315, 198, 1678, 807, 7391, 20956, 369, 264, 3953, 1273, 13, 576, 14713, 315, 3920, 882, 856, 320, 258, 4115, 8, 323, 198, 1782, 12942, 1273, 27611, 379, 525, 2661, 3685, 624, 87, 262, 220, 17, 257, 220, 16, 414, 220, 16, 13, 20, 262, 220, 15, 13, 20, 981, 220, 16, 257, 220, 18, 981, 220, 15, 286, 220, 17, 198, 88, 256, 220, 24, 17, 262, 220, 23, 16, 414, 220, 23, 19, 257, 220, 21, 23, 981, 220, 23, 20, 262, 220, 24, 21, 414, 220, 19, 23, 981, 220, 22, 19, 271, 64, 13, 256, 7405, 264, 44477, 4469, 315, 279, 821, 382, 65, 13, 256, 5443, 697, 38137, 12, 23, 18, 311, 6851, 279, 23606, 315, 198, 1782, 3245, 1331, 40856, 30549, 1555, 323, 279, 198, 6005, 22221, 382, 66, 13, 256, 81917, 304, 4244, 1128, 279, 30232, 32495, 223, 95, 315, 198, 1782, 830, 30549, 1555, 2727, 911, 271, 67, 13, 262, 3555, 374, 279, 16045, 315, 32495, 223, 95, 504, 279, 821, 30, 3555, 374, 697, 16045, 315, 279, 28639, 32495, 223, 94, 315, 198, 1782, 830, 30549, 1555, 1939, 68, 13, 256, 5443, 697, 29952, 311, 11047, 279, 97540, 13, 8259, 279, 2629, 315, 279, 97540, 323, 198, 1782, 2629, 315, 279, 31340, 315, 279, 97540, 13, 5005, 990, 1493, 3059, 311, 16045, 279, 198, 20270, 37564, 32495, 223, 111, 304, 279, 30549, 1614, 382, 171, 222, 254, 198, 925, 293, 284, 981, 274, 198, 69, 13, 256, 576, 5297, 1465, 315, 279, 30232, 5052, 65, 374, 4512, 438, 1797, 32495, 223, 241, 320, 87, 1365, 856, 8, 220, 17, 198, 47866, 5052, 65, 624, 70, 13, 82610, 582, 1366, 311, 1477, 700, 421, 279, 1372, 315, 4115, 19476, 8609, 7023, 11972, 198, 672, 20958, 389, 419, 13142, 1273, 13, 3377, 6334, 845, 323, 10555, 73413, 911, 279, 30232, 198, 1055, 279, 830, 30549, 1555, 13, 3234, 264, 1378, 49758, 10555, 382, 71, 13, 29901, 279, 1273, 42489, 11, 279, 12348, 315, 11290, 11, 323, 279, 393, 19083, 315, 259, 2348, 279, 198, 76995, 382, 17, 13, 48427, 48792, 9646, 5193, 264, 882, 11, 264, 536, 1075, 18316, 1865, 21595, 315, 862, 198, 2178, 9390, 323, 2608, 13, 2379, 10636, 862, 3059, 1119, 264, 386, 2327, 370, 36636, 11, 11223, 3245, 198, 82, 40856, 30549, 315, 2608, 389, 6773, 9390, 320, 21028, 304, 14924, 8, 323, 12180, 279, 2701, 198, 3006, 1447, 53544, 269, 1843, 3539, 823, 4293, 794, 3583, 981, 259, 3795, 6266, 688, 281, 198, 15472, 688, 220, 16, 16, 13, 20, 19, 22, 4293, 220, 20, 13, 21, 15, 15, 688, 220, 17, 13, 15, 21, 414, 220, 15, 13, 15, 20, 21, 198, 32913, 9390, 688, 220, 15, 13, 23, 19, 15, 19, 17, 338, 220, 15, 13, 15, 23, 15, 24, 16, 260, 220, 16, 15, 13, 18, 24, 414, 220, 15, 13, 15, 15, 15, 271, 82, 284, 220, 16, 13, 21, 16, 18, 1797, 431, 1331, 80, 284, 220, 23, 22, 13, 16, 4, 1698, 431, 1331, 80, 71522, 8, 284, 220, 23, 21, 13, 18, 15441, 32, 32147, 7089, 369, 279, 821, 5868, 1075, 419, 1447, 78, 198, 78, 786, 297, 198, 78, 198, 78, 198, 78, 15429, 297, 198, 78, 198, 15, 13, 15, 260, 297, 24348, 297, 198, 78, 198, 78, 198, 78, 688, 297, 198, 7012, 40, 16, 999, 297, 198, 78, 198, 78, 198, 78, 198, 12, 18, 13, 15, 271, 21, 19, 13, 15, 310, 220, 21, 23, 13, 15, 2290, 220, 22, 17, 13, 15, 286, 220, 22, 21, 13, 15, 198, 15914, 848, 271, 64, 13, 29901, 279, 23606, 315, 279, 3245, 31340, 30549, 1555, 504, 279, 1173, 411, 624, 65, 13, 758, 697, 9459, 11, 374, 279, 3245, 31340, 1555, 458, 8311, 1614, 369, 279, 821, 30, 18885, 198, 9330, 387, 9831, 311, 7023, 264, 5458, 748, 2608, 11, 14063, 429, 806, 6773, 9390, 374, 220, 22, 21, 14924, 5267, 840, 20772, 13, 5005, 653, 432, 1365, 990, 419, 1614, 311, 7023, 279, 2608, 315, 264, 5458, 6693, 6773, 198, 1480, 374, 220, 22, 21, 14924, 382, 66, 13, 72715, 279, 5029, 32495, 223, 94, 11, 32495, 223, 95, 171, 222, 105, 171, 222, 254, 437, 32495, 223, 111, 382, 67, 13, 18678, 264, 220, 24, 20, 4, 12136, 9873, 369, 279, 830, 30232, 315, 279, 30549, 1555, 382, 68, 13, 256, 18885, 498, 7850, 279, 845, 30078, 518, 279, 220, 16, 4, 25361, 2188, 30, 81917, 26753, 382, 69, 13, 256, 9645, 697, 30242, 304, 14396, 4128, 382, 70, 13, 256, 22603, 264, 220, 24, 20, 4, 12136, 9873, 369, 279, 30232, 1683, 253, 315, 279, 830, 30549, 1555, 382, 13874, 3989, 11686, 26340, 198, 11409, 26340, 553, 393, 16, 20608, 84916 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3555, 374, 458, 48881, 5162, 1939, 2082, 1465, 10017, 4460, 311, 2795, 419, 2766, 382, 21453, 35918, 279, 2150, 11, 476, 3645, 6002, 1824, 382, 56689, 705, 1790, 25, 2585, 311, 54115, 48881, 5162, 17399, 908, 271, 14374, 1446, 2299, 389, 264, 6502, 13, 13655, 705, 279, 1661, 975, 2219, 693, 1363, 198, 7771, 1790, 17755, 686, 1486, 304, 220, 16, 15, 6486, 198, 6667, 220, 15, 25, 16, 15, 31135, 504, 18306, 198, 6667, 220, 17, 25, 16, 21, 48881, 5162, 2806, 367, 198, 6667, 220, 17, 25, 20, 20, 11473, 4405, 11702, 804, 271, 28823, 311, 3736, 419, 1549, 2937, 1939, 59641, 198, 19602, 36265, 198, 19602, 36265, 271, 820, 50662, 60466, 323, 47678, 369, 1446, 271, 70404, 90303, 198, 641, 3086, 25, 11885, 3319, 5403, 78, 271, 38627, 32892, 1550, 2906, 6364, 11, 6888, 323, 1008, 14878, 13, 1260, 702, 264, 7341, 594, 8381, 304, 4378, 323, 17206, 382, 4498, 582, 2299, 7404, 323, 26297, 5109, 11, 582, 3545, 1513, 944, 2453, 3425, 1181, 6785, 476, 8225, 11, 1101, 1246, 2409, 432, 374, 13, 1096, 374, 3545, 2598, 279, 25621, 315, 264, 1372, 323, 582, 1477, 432, 553, 4633, 279, 10740, 897, 13, 14934, 678, 911, 432, 1588, 2219, 565, 576, 31135, 504, 18306, 271, 3966, 7400, 11, 2337, 7297, 20288, 29881, 53, 11, 892, 572, 279, 43528, 6165, 13, 279, 50455, 11, 358, 1865, 264, 1274, 448, 264, 4238, 916, 1246, 1753, 3220, 432, 7049, 311, 633, 264, 220, 18, 15, 43863, 8353, 389, 2337, 825, 315, 279, 8353, 18303, 13, 4695, 358, 2776, 264, 6765, 43528, 8405, 323, 566, 572, 264, 50455, 8405, 11, 773, 582, 6635, 429, 279, 58891, 1035, 614, 311, 9850, 279, 30222, 2083, 594, 36112, 369, 279, 2732, 315, 279, 1809, 382, 40, 3381, 432, 1035, 2783, 2163, 32882, 16, 11, 17, 20, 15, 11, 15, 15, 15, 323, 847, 4238, 572, 22166, 429, 432, 2783, 32882, 20, 11, 20, 15, 15, 11, 15, 15, 15, 13, 358, 5710, 944, 2704, 421, 358, 572, 6896, 1290, 476, 537, 11, 714, 358, 572, 5020, 16506, 429, 566, 572, 1616, 1007, 11, 773, 358, 6635, 311, 1281, 279, 1274, 382, 11395, 11, 264, 2421, 7602, 26475, 2937, 11, 582, 11105, 429, 264, 220, 18, 15, 43863, 8353, 429, 1042, 2783, 32882, 18, 11, 15, 15, 15, 11, 15, 15, 15, 13, 2055, 879, 2765, 30, 8325, 11, 264, 4285, 21937, 315, 32882, 18, 11, 15, 15, 15, 11, 15, 15, 15, 27283, 32882, 16, 11, 17, 20, 15, 11, 15, 15, 15, 6551, 601, 279, 4226, 429, 358, 572, 32882, 16, 11, 22, 20, 15, 11, 15, 15, 15, 1007, 279, 5042, 4226, 13, 43145, 279, 1852, 369, 1435, 11, 32882, 18, 11, 15, 15, 15, 11, 15, 15, 15, 27283, 32882, 20, 11, 20, 15, 15, 11, 15, 15, 15, 3229, 601, 429, 566, 572, 32882, 17, 11, 20, 15, 15, 11, 15, 15, 15, 1007, 13, 1096, 3363, 429, 358, 572, 8491, 12128, 11, 773, 358, 2765, 323, 847, 393, 9683, 21770, 19613, 34439, 382, 3983, 264, 12128, 25683, 1119, 419, 20992, 264, 6534, 429, 3520, 4041, 705, 264, 2696, 304, 37596, 13, 3555, 847, 4238, 323, 358, 41677, 911, 572, 31127, 1246, 3041, 3123, 1039, 7942, 572, 504, 279, 5042, 4226, 13, 1205, 3207, 944, 2453, 911, 3425, 582, 1033, 916, 476, 1212, 11, 476, 3425, 279, 1372, 582, 1521, 1283, 279, 2632, 75240, 3491, 572, 6785, 476, 8225, 13, 2009, 429, 582, 41677, 911, 572, 279, 25621, 315, 279, 4226, 11, 476, 1246, 3460, 279, 1372, 572, 15484, 315, 279, 1841, 304, 4065, 315, 432, 13, 758, 37596, 11, 419, 5666, 315, 4633, 279, 1372, 323, 1172, 3330, 518, 279, 1379, 315, 432, 323, 30903, 279, 1841, 11, 374, 2598, 279, 10740, 897, 382, 1654, 3545, 990, 10740, 2750, 979, 7404, 911, 6010, 1576, 1052, 374, 902, 1741, 3166, 438, 8225, 6010, 13, 1752, 3110, 11, 1101, 1576, 279, 3553, 498, 2299, 2087, 311, 374, 264, 2504, 4815, 498, 3171, 944, 3076, 432, 594, 8225, 825, 10010, 3123, 13, 1084, 594, 1101, 825, 2504, 11, 1290, 1939, 565, 2806, 367, 315, 48881, 24979, 271, 9952, 1075, 1246, 279, 13632, 315, 1039, 1274, 572, 279, 825, 6693, 7942, 572, 2686, 3041, 3123, 504, 279, 4226, 11, 279, 10740, 897, 315, 894, 1372, 646, 387, 3381, 315, 438, 1246, 3041, 3123, 429, 1372, 374, 504, 7168, 13, 1752, 3110, 11, 279, 10740, 897, 220, 22, 320, 25569, 438, 760, 22, 91, 11843, 16377, 220, 22, 13, 1084, 594, 220, 22, 8153, 3123, 504, 7168, 13, 576, 10740, 897, 315, 481, 22, 320, 25569, 438, 44561, 22, 91, 11843, 220, 22, 11, 1576, 432, 594, 2058, 220, 22, 8153, 3123, 504, 7168, 382, 1249, 15055, 419, 17755, 498, 1969, 387, 264, 19173, 905, 12039, 382, 14374, 8451, 369, 264, 1910, 9091, 271, 11526, 498, 264, 5458, 476, 264, 11079, 1939, 820, 3496, 369, 6133, 3170, 220, 18, 15, 3526, 1251, 990, 19173, 905, 271, 67331, 50278, 264, 19173, 905, 4462, 323, 1191, 6832, 1431, 624, 3707, 198, 3838, 13336, 525, 5488, 911, 19173, 905, 271, 14374, 468, 3177, 9126, 16267, 271, 6986, 498, 1414, 1940, 1205, 614, 916, 220, 16, 21, 15, 7770, 13980, 429, 10549, 498, 311, 7232, 6668, 553, 7006, 429, 374, 11666, 553, 916, 220, 16, 11, 20, 15, 15, 30152, 323, 23106, 13, 1446, 646, 1273, 700, 315, 279, 1156, 1378, 1635, 315, 7770, 323, 3581, 9037, 1007, 697, 8381, 13, 32534, 646, 7232, 6668, 14319, 10187, 309, 15484, 315, 4231, 476, 6731, 2188, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 8752, 25, 758, 4450, 315, 220, 18, 55, 18, 11631, 271, 16, 13, 7704, 758, 4450, 315, 220, 18, 55, 18, 11631, 271, 8610, 30643, 30, 24528, 4297, 1495, 448, 279, 330, 1015, 37591, 1714, 1, 369, 9271, 279, 27949, 315, 264, 220, 18, 55, 18, 11631, 11, 3650, 419, 949, 1447, 17, 13, 7704, 1032, 25, 758, 4450, 315, 220, 18, 55, 18, 11631, 271, 5338, 315, 678, 11, 498, 614, 16588, 279, 6172, 315, 48540, 4969, 11, 432, 1265, 387, 1447, 58736, 5493, 3528, 1124, 7265, 90, 65, 18110, 92, 17, 5, 17, 5, 17, 3422, 12, 17, 5, 18, 5, 18, 3422, 15, 5, 12, 16, 15, 5, 15, 1124, 408, 90, 65, 18110, 31716, 382, 7039, 311, 1855, 279, 12469, 768, 349, 320, 269, 12469, 781, 8, 6172, 11, 582, 30270, 1817, 71861, 47244, 553, 57960, 5493, 3528, 10293, 16, 29776, 90, 72, 28735, 31716, 11, 429, 374, 11, 24609, 11929, 11, 5916, 448, 1736, 533, 304, 279, 8416, 7950, 9131, 11, 311, 633, 1447, 58736, 5493, 3528, 1124, 7265, 90, 65, 18110, 92, 17, 5, 12, 17, 5, 17, 3422, 17, 5, 18, 5, 12, 18, 3422, 15, 5, 16, 15, 5, 15, 1124, 408, 90, 65, 18110, 31716, 382, 1654, 686, 1366, 279, 50923, 315, 419, 6172, 11, 892, 374, 1447, 58736, 5493, 3528, 1124, 7265, 90, 65, 18110, 92, 17, 5, 17, 5, 15, 3422, 12, 17, 5, 18, 5, 16, 15, 3422, 17, 5, 12, 18, 5, 15, 1124, 408, 90, 65, 18110, 31716, 382, 1654, 1184, 311, 1431, 11047, 279, 86960, 315, 279, 4024, 6172, 11, 311, 633, 264, 14452, 17274, 8168, 1447, 785, 29589, 1616, 374, 311, 9225, 553, 48540, 3156, 279, 2086, 3250, 11, 2474, 432, 702, 1172, 825, 2477, 36929, 4343, 13, 8704, 419, 374, 304, 279, 220, 18, 11, 17, 2309, 11, 582, 1896, 279, 8225, 315, 419, 86960, 320, 11284, 220, 18, 10, 17, 284, 220, 20, 374, 10322, 701, 279, 68803, 5621, 315, 279, 1008, 220, 17, 1186, 67, 16483, 1783, 686, 387, 220, 15, 11, 773, 582, 1513, 944, 614, 311, 11047, 279, 6172, 315, 279, 1008, 48540, 320, 36141, 582, 3003, 2669, 2814, 432, 11, 773, 752, 71, 1112, 3593, 9033, 374, 11, 279, 86960, 315, 279, 4024, 6172, 374, 1447, 58736, 5493, 3528, 1124, 19285, 4346, 8, 284, 10293, 16, 10699, 559, 220, 16, 1124, 559, 1124, 7265, 90, 7338, 2555, 92, 18, 5, 17, 3422, 17, 5, 12, 17, 1124, 408, 90, 7338, 2555, 92, 284, 10293, 16, 2376, 12, 16, 15, 8, 284, 220, 16, 15, 3, 382, 4416, 1039, 26943, 8168, 686, 387, 220, 16, 14, 16, 15, 382, 1986, 6696, 279, 27949, 1447, 58736, 5493, 3528, 362, 87210, 16, 92, 284, 1124, 37018, 90, 16, 15170, 59, 19285, 4346, 9139, 59, 1318, 90, 24739, 25547, 32, 8, 284, 1124, 7265, 90, 65, 18110, 92, 1124, 37018, 90, 16, 15170, 20, 24778, 59, 37018, 90, 16, 15170, 20, 24778, 15, 3422, 481, 59, 37018, 90, 16, 15170, 20, 24778, 59, 37018, 90, 18, 15170, 16, 15, 24778, 16, 3422, 1124, 37018, 90, 16, 15170, 20, 24778, 30529, 37018, 90, 18, 15170, 16, 15, 24778, 15, 1124, 408, 90, 65, 18110, 31716, 271, 18, 13, 7704, 1032, 25, 758, 4450, 315, 220, 18, 55, 18, 11631, 271, 11578, 11, 35965, 1431, 382, 19, 13, 7704, 1032, 25, 758, 4450, 315, 220, 18, 55, 18, 11631, 271, 11578, 1588, 525, 279, 1378, 26131, 13, 358, 614, 825, 1537, 3405, 389, 279, 220, 17, 303, 825, 382, 2121, 3041, 438, 8660, 279, 3405, 304, 279, 1156, 9487, 11, 358, 3535, 432, 13, 10967, 423, 279, 1378, 5128, 3367, 320, 258, 264, 5312, 9794, 5383, 701, 429, 1992, 374, 1380, 279, 86960, 5780, 369, 279, 501, 330, 18110, 315, 86960, 11253, 497, 773, 311, 6468, 382, 20, 13, 7704, 1032, 25, 758, 4450, 315, 220, 18, 55, 18, 11631, 271, 10850, 4343, 14319, 47244, 13, 11992, 825, 16202, 323, 825, 12140, 1555, 429, 31796, 518, 279, 4343, 498, 525, 389, 13, 1446, 1265, 9956, 705, 448, 220, 24, 330, 36584, 1, 438, 498, 1618, 1105, 25, 825, 5312, 9794, 369, 1817, 4343, 304, 279, 6172, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7623, 861, 5010, 861, 2585, 3155, 1446, 7379, 362, 7954, 4196, 2938, 2160, 31110, 65971, 2014, 11733, 547, 284, 220, 16, 11, 220, 15, 11, 647, 284, 220, 15, 11, 220, 16, 11, 23754, 2, 2585, 3155, 1446, 7379, 362, 7954, 4196, 2938, 2160, 31110, 65971, 2014, 11733, 547, 284, 220, 16, 11, 220, 15, 11, 647, 284, 220, 15, 11, 220, 16, 11, 23754, 1654, 646, 15908, 551, 419, 1102, 1119, 264, 57817, 8826, 94580, 22879, 13, 7379, 279, 4179, 5344, 17399, 279, 4226, 1667, 5297, 4982, 22879, 13, 7379, 264, 4621, 315, 25621, 429, 3501, 304, 279, 14002, 5106, 1091, 4621, 1380, 323, 17399, 279, 4226, 304, 3692, 1352, 13, 62197, 279, 19481, 323, 279, 13964, 525, 304, 279, 1852, 1992, 438, 304, 279, 3681, 3110, 382, 54815, 11, 1378, 22879, 525, 15279, 421, 807, 614, 279, 1852, 476, 14002, 17961, 13, 1205, 686, 1490, 279, 1156, 3766, 315, 419, 304, 279, 1790, 12453, 13, 6771, 748, 1191, 1007, 553, 1026, 8314, 429, 582, 4829, 279, 4379, 315, 2297, 315, 26107, 69, 14085, 518, 264, 3953, 1459, 11, 1977, 26107, 59, 2359, 7, 1154, 1124, 1291, 15087, 12947, 6771, 748, 1083, 22477, 429, 2176, 26107, 87, 14085, 323, 26107, 88, 14085, 525, 7703, 323, 429, 11, 304, 419, 1142, 11, 26107, 87, 14085, 374, 7703, 10917, 438, 4937, 438, 26107, 88, 14085, 374, 7703, 13, 2055, 11, 438, 26107, 88, 14085, 12703, 825, 4982, 315, 6629, 26107, 87, 14085, 686, 5263, 1378, 8153, 315, 6629, 13, 2014, 419, 1459, 582, 3982, 1172, 6966, 518, 279, 1378, 7130, 42545, 26107, 59, 2359, 7, 1124, 1291, 8, 14085, 323, 26107, 59, 2359, 7, 1124, 1291, 8, 14085, 382, 36120, 25621, 374, 12180, 553, 84192, 862, 8455, 20590, 553, 279, 57668, 315, 279, 9210, 1948, 1105, 13, 576, 5106, 315, 279, 4621, 1985, 646, 387, 10838, 553, 279, 272, 73302, 38617, 1290, 24413, 5912, 13, 576, 4621, 1985, 315, 1378, 2987, 15279, 476, 3196, 573, 277, 7957, 22879, 5242, 20527, 13, 576, 25621, 315, 279, 4621, 1985, 374, 7772, 369, 94580, 22879, 13, 576, 2846, 6704, 3343, 374, 9251, 13814, 979, 22879, 525, 13302, 304, 862, 3692, 7586, 11, 304, 3793, 315, 4982, 22879, 315, 80715, 24745, 13, 576, 272, 73302, 38617, 1290, 24413, 5912, 374, 264, 4185, 86801, 1483, 311, 8253, 279, 5106, 315, 279, 4621, 1985, 382, 35, 24308, 279, 11223, 22879, 323, 3158, 1817, 315, 1105, 264, 13, 4196, 41179, 374, 264, 4982, 4621, 429, 7586, 458, 9210, 315, 220, 21, 15, 11616, 21, 15, 11616, 448, 279, 6785, 856, 35321, 13, 29901, 678, 2326, 32420, 22879, 575, 94580, 311, 4621, 17399, 279, 4226, 553, 1667, 5297, 4982, 22879, 382, 785, 15328, 748, 8872, 26885, 264, 5344, 304, 825, 5106, 11, 323, 279, 1482, 315, 279, 14796, 26885, 264, 5344, 304, 2441, 5106, 13, 1205, 1969, 1896, 2176, 279, 25621, 323, 5106, 315, 1817, 5344, 1119, 2692, 421, 582, 1366, 311, 1414, 1380, 279, 15328, 686, 728, 13, 8886, 17921, 702, 279, 1852, 3084, 323, 5106, 13, 362, 15148, 5435, 7286, 374, 279, 4522, 315, 15279, 22879, 382, 4498, 9271, 279, 5312, 1985, 11, 304, 6588, 11, 582, 646, 990, 2987, 476, 1154, 11649, 389, 892, 825, 315, 1105, 4977, 311, 387, 2686, 6351, 3716, 29054, 13, 3776, 1616, 311, 1281, 2704, 421, 279, 1590, 1102, 374, 4396, 374, 311, 990, 1105, 2176, 13, 2160, 264, 1632, 21309, 20438, 429, 807, 525, 76833, 13, 10967, 26107, 59, 15976, 14085, 374, 279, 9210, 1948, 279, 20169, 323, 26107, 59, 4083, 575, 3, 12947, 1446, 4994, 311, 387, 389, 264, 3671, 448, 264, 1036, 77, 6044, 854, 4171, 2374, 320, 72, 1734, 13, 498, 525, 4658, 389, 264, 6371, 4540, 568, 23662, 311, 279, 6993, 315, 279, 37596, 389, 419, 2747, 432, 374, 1850, 6194, 304, 18414, 3856, 382, 2461, 279, 2701, 22932, 11, 1477, 279, 4126, 323, 10578, 315, 279, 25366, 448, 458, 23606, 304, 4586, 1352, 429, 374, 2661, 13, 9645, 279, 23606, 315, 279, 11031, 12299, 1526, 1459, 429, 374, 15279, 311, 279, 856, 89, 89549, 13, 9645, 279, 23606, 315, 279, 11031, 12299, 1526, 1459, 429, 374, 15279, 311, 279, 30784, 89549, 13, 1128, 374, 279, 7192, 4034, 1379, 369, 80534, 14460, 14087, 389, 264, 65420, 30, 2014, 912, 22879, 304, 2326, 15336, 11, 582, 1795, 279, 1852, 15966, 582, 9498, 369, 1378, 15336, 13, 21149, 911, 1128, 8573, 421, 498, 7089, 419, 23606, 304, 1378, 15336, 304, 279, 856, 89, 89549, 13, 60785, 279, 738, 315, 3501, 304, 2326, 55887, 3550, 429, 67901, 323, 4771, 279, 7329, 382, 7382, 14, 1528, 92484, 10374, 34840, 2445, 374, 16257, 6888, 28459, 1492, 1186, 13, 95149, 369, 476, 10004, 8160, 686, 1102, 304, 264, 15330, 8943, 13, 576, 21495, 5868, 311, 387, 3232, 42939, 323, 3232, 72, 4234, 13, 7851, 239, 374, 279, 5306, 9210, 315, 279, 3232, 42939, 21495, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16374, 1990, 17590, 315, 9334, 12060, 3405, 271, 51422, 88954, 36829, 369, 9334, 12060, 198, 51422, 88954, 36829, 369, 9334, 12060, 271, 6667, 671, 16, 198, 23, 21, 19, 198, 16, 22, 271, 13048, 345, 16374, 3405, 11, 3378, 315, 510, 40, 1490, 429, 4092, 311, 279, 7602, 279, 35972, 4008, 315, 264, 65494, 12060, 374, 4751, 6351, 11, 773, 358, 4700, 1430, 311, 4717, 438, 3041, 3123, 504, 429, 438, 358, 646, 11, 1576, 358, 4249, 264, 2699, 97453, 624, 40, 3535, 429, 421, 498, 31072, 264, 9334, 12060, 498, 633, 264, 65494, 12060, 389, 279, 856, 35321, 13, 1988, 1416, 498, 31072, 429, 65494, 12060, 498, 633, 2494, 70607, 264, 57668, 355, 588, 13, 320, 33331, 911, 432, 1660, 279, 1156, 81241, 315, 279, 65494, 12060, 358, 4411, 340, 5050, 4755, 525, 25, 2585, 3265, 374, 429, 311, 264, 57668, 12060, 30, 3555, 1558, 432, 1401, 1075, 4771, 2673, 30, 320, 40, 1513, 1405, 614, 76001, 340, 15666, 398, 11, 525, 1052, 2155, 59008, 315, 65494, 16876, 11, 2670, 53295, 58302, 65494, 16876, 11, 892, 525, 12128, 311, 264, 57668, 12060, 5267, 40, 1079, 773, 97453, 389, 88954, 28475, 608, 4013, 11, 432, 748, 537, 15173, 13, 1988, 8826, 419, 510, 1254, 1110, 10374, 14615, 1418, 337, 91504, 905, 12318, 413, 1268, 25544, 51942, 51682, 2564, 198, 40, 1490, 279, 53295, 58302, 7071, 11, 892, 374, 3093, 315, 1128, 358, 614, 304, 3971, 11, 714, 358, 4249, 537, 2704, 1128, 279, 2518, 57668, 12060, 374, 18860, 624, 74861, 271, 16374, 3405, 11, 3378, 315, 1447, 40, 1490, 429, 4092, 311, 279, 7602, 279, 35972, 4008, 315, 264, 65494, 12060, 374, 4751, 6351, 11, 773, 358, 4700, 1430, 311, 4717, 438, 3041, 3123, 504, 429, 438, 358, 646, 11, 1576, 358, 4249, 264, 2699, 97453, 382, 40, 3535, 429, 421, 498, 31072, 264, 9334, 12060, 498, 633, 264, 65494, 12060, 389, 279, 856, 35321, 13, 1988, 1416, 498, 31072, 429, 65494, 12060, 498, 633, 2494, 70607, 264, 57668, 355, 588, 13, 320, 33331, 911, 432, 1660, 279, 1156, 81241, 315, 279, 65494, 12060, 358, 4411, 692, 5050, 4755, 525, 25, 2585, 3265, 374, 429, 311, 264, 57668, 12060, 30, 3555, 1558, 432, 1401, 1075, 4771, 2673, 30, 320, 40, 1513, 1405, 614, 76001, 692, 15666, 398, 11, 525, 1052, 2155, 59008, 315, 65494, 16876, 11, 2670, 53295, 58302, 65494, 16876, 11, 892, 525, 12128, 311, 264, 57668, 12060, 1939, 40, 1079, 773, 97453, 389, 88954, 28475, 608, 4013, 11, 432, 748, 537, 15173, 13, 1988, 8826, 419, 1447, 1254, 1110, 10374, 14615, 1418, 337, 91504, 905, 12318, 413, 1268, 25544, 51942, 51682, 2564, 271, 40, 1490, 279, 53295, 58302, 7071, 11, 892, 374, 3093, 315, 1128, 358, 614, 304, 3971, 11, 714, 358, 4249, 537, 2704, 1128, 279, 2518, 57668, 12060, 374, 18860, 382, 74861, 271, 2610, 525, 10099, 25, 8993, 1990, 17590, 315, 9334, 12060, 3405, 13, 13074, 3465, 553, 4434, 53, 20868, 51, 4076, 6589, 323, 38875, 3156, 448, 1008, 5435, 13347, 382, 11564, 419, 1736 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 362, 1372, 702, 1378, 18509, 6693, 2629, 374, 220, 23, 13, 1416, 220, 16, 23, 374, 3694, 311, 279, 1372, 11, 1181, 18509, 525, 27437, 13, 3555, 374, 429, 1372, 70882, 752, 4486, 382, 17, 271, 17, 15, 16, 19, 12, 16, 17, 12, 15, 18, 51, 17, 15, 25, 18, 21, 25, 17, 24, 10, 15, 20, 25, 18, 15, 198, 10061, 279, 902, 387, 220, 16, 15, 87, 488, 379, 198, 41968, 11, 856, 488, 379, 284, 220, 23, 32558, 320, 16, 340, 16, 15, 87, 488, 88, 488, 220, 16, 23, 284, 220, 16, 15, 88, 488, 856, 198, 24, 87, 481, 220, 24, 88, 488, 220, 16, 23, 284, 15, 198, 87, 481, 379, 488, 17, 284, 220, 15, 198, 87, 481, 379, 284, 481, 17, 34703, 320, 17, 340, 1499, 320, 16, 8, 609, 320, 17, 340, 87, 488, 379, 284, 220, 23, 198, 87, 481, 379, 284, 481, 17, 198, 771, 6913, 17, 87, 284, 220, 21, 198, 87, 284, 220, 18, 198, 1966, 856, 284, 220, 18, 304, 320, 16, 340, 18, 488, 379, 284, 220, 23, 198, 88, 284, 220, 20, 198, 4082, 220, 16, 15, 87, 488, 379, 284, 220, 16, 15, 7, 18, 8, 488, 220, 20, 198, 28, 220, 18, 15, 10, 20, 198, 28, 220, 18, 20, 198, 6279, 1372, 374, 220, 18, 20, 382, 17, 15, 16, 19, 12, 16, 17, 12, 15, 18, 51, 17, 15, 25, 18, 22, 25, 15, 18, 10, 15, 20, 25, 18, 15, 198, 785, 1372, 374, 220, 21, 17, 624, 21, 10, 17, 28, 23, 488, 16, 23, 28, 220, 17, 21, 198, 71, 763, 279, 1372, 374, 27437 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 32, 16283, 54910, 3491, 13, 508, 63826, 2533, 32, 16283, 54910, 3491, 13, 358, 5485, 419, 389, 27178, 714, 1410, 537, 3535, 432, 510, 10061, 601, 912, 220, 16, 488, 220, 17, 488, 220, 19, 488, 220, 23, 488, 220, 16, 21, 488, 2503, 705, 311, 54910, 198, 87, 4539, 16, 10, 17, 10, 19, 10, 23, 10, 31218, 28, 220, 16, 7, 16, 10, 17, 10, 19, 10, 23, 10, 32574, 284, 320, 17, 12, 16, 2376, 16, 10, 17, 10, 19, 10, 23, 10, 32574, 284, 320, 17, 10, 19, 10, 23, 10, 16, 21, 10, 1112, 51356, 16, 10, 17, 10, 19, 10, 23, 10, 32574, 284, 481, 16, 198, 87, 10829, 16, 271, 7039, 429, 374, 16283, 2474, 582, 525, 7842, 705, 311, 54910, 6974, 279, 6785, 3108, 3602, 582, 835, 705, 448, 264, 8225, 1372, 13, 93092, 4486, 10339, 752, 3170, 382, 6667, 1634, 1293, 438, 1172, 36398, 525, 6398, 11, 4297, 374, 6915, 13, 1988, 311, 1186, 4339, 400, 41715, 258, 36958, 3, 504, 400, 41715, 258, 36958, 3, 320, 8206, 498, 653, 438, 5135, 438, 264, 27283, 1841, 7952, 8, 646, 2990, 311, 26915, 13, 1096, 702, 1012, 11247, 3807, 3039, 389, 279, 2747, 13, 1365, 4102, 6986, 4915, 220, 18, 15, 364, 16, 18, 518, 220, 16, 17, 25, 15, 24, 198, 6667, 646, 575, 3410, 752, 264, 2656, 30, 1365, 4102, 62316, 3350, 64, 73698, 4915, 220, 18, 15, 364, 16, 18, 518, 220, 16, 17, 25, 16, 23, 198, 6667, 1365, 4102, 38, 5400, 3017, 1270, 4915, 220, 18, 15, 364, 16, 18, 518, 220, 16, 17, 25, 18, 19 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3555, 374, 220, 17, 14, 18, 10525, 304, 48038, 1939, 3862, 525, 220, 20, 220, 16, 14, 18, 48038, 304, 220, 17, 14, 18, 315, 264, 10525, 13, 3776, 10525, 374, 279, 13578, 315, 220, 23, 48038, 11, 323, 220, 17, 14, 18, 315, 220, 23, 374, 220, 20, 220, 16, 14, 18, 382, 17949, 220, 16, 61511, 16819, 220, 16, 14, 17, 53708, 11, 220, 20, 220, 16, 14, 18, 55488, 6144, 220, 16, 14, 18, 315, 264, 10525, 13, 1096, 1083, 3363, 429, 220, 16, 15, 220, 17, 14, 18, 55488, 6144, 220, 17, 14, 18, 315, 264, 10525, 13, 8704, 1052, 525, 220, 18, 92100, 304, 220, 16, 61511, 11, 220, 17, 14, 18, 315, 264, 10525, 5610, 220, 18, 17, 92100, 323, 1576, 220, 17, 25374, 6144, 220, 16, 45646, 11, 220, 17, 14, 18, 315, 264, 10525, 374, 279, 13578, 315, 220, 16, 14, 18, 315, 264, 45646, 13, 576, 18662, 315, 220, 17, 14, 18, 10525, 374, 1083, 6144, 311, 220, 16, 14, 21, 315, 264, 40276, 323, 220, 16, 14, 17, 19, 315, 264, 49580, 382, 8856, 25 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2160, 12091, 34172, 594, 26759, 29141, 47938, 65947, 1939, 565, 50662, 15419, 271, 10234, 4436, 944, 432, 13276, 311, 22477, 429, 807, 1410, 614, 19149, 432, 30, 3017, 220, 24, 4666, 6284, 4438, 1410, 614, 19149, 432, 11, 323, 566, 594, 1172, 1101, 1431, 6832, 1293, 12804, 13, 1416, 264, 4843, 1081, 998, 594, 6770, 6888, 7361, 1410, 975, 429, 700, 11, 358, 1513, 944, 1490, 3170, 358, 7691, 944, 1720, 279, 1852, 315, 14261, 323, 29405, 13, 358, 1744, 498, 1513, 944, 2968, 7852, 14261, 323, 29405, 7009, 3322, 6668, 369, 1660, 7274, 15327, 382, 40, 11247, 3170, 304, 847, 2033, 311, 11806, 1952, 13, 1988, 358, 3278, 10339, 3170, 304, 803, 7716, 1588, 1447, 1655, 279, 7167, 315, 279, 21165, 11, 29405, 43499, 32882, 16, 11, 1576, 1340, 15482, 429, 1052, 374, 264, 220, 20, 15, 4, 6012, 429, 14261, 686, 5943, 700, 323, 1340, 686, 633, 32882, 16, 24, 13, 2619, 374, 1083, 264, 220, 20, 15, 4, 6012, 429, 14261, 686, 14103, 32882, 17, 323, 3164, 279, 21165, 11, 304, 892, 1142, 1340, 32191, 32882, 16, 13, 6252, 3601, 19619, 369, 48400, 389, 279, 1156, 4778, 374, 220, 15, 13, 20, 9, 16, 24, 481, 220, 15, 13, 20, 9, 16, 284, 32882, 24, 11, 1393, 1059, 3601, 19619, 369, 537, 48400, 518, 678, 374, 32882, 15, 13, 14301, 11, 1340, 1265, 14103, 32882, 16, 389, 279, 1156, 4778, 13, 34239, 369, 14261, 13, 8704, 29405, 702, 2669, 14103, 32882, 16, 11, 566, 3880, 311, 14103, 32882, 17, 311, 3164, 13, 1416, 566, 1558, 11, 806, 3601, 19619, 525, 220, 15, 13, 20, 9, 16, 23, 481, 220, 15, 13, 20, 9, 17, 284, 32882, 23, 11, 892, 374, 803, 1091, 421, 566, 3171, 944, 11, 600, 1734, 13, 32882, 15, 382, 1986, 5780, 389, 323, 389, 3080, 279, 14103, 374, 518, 32882, 16, 15, 13, 2411, 419, 1459, 11, 29405, 7966, 11, 1632, 421, 14261, 42077, 803, 1091, 32882, 16, 15, 11, 1221, 806, 3601, 19619, 1035, 387, 8225, 11, 773, 566, 2765, 944, 14103, 803, 1091, 32882, 16, 15, 11, 323, 29405, 646, 7838, 3164, 279, 21165, 553, 25181, 32882, 16, 16, 323, 3709, 32882, 24, 13, 14261, 11, 315, 3308, 11, 374, 7274, 279, 1852, 3166, 323, 773, 566, 16297, 311, 1274, 803, 1091, 32882, 16, 15, 382, 12522, 279, 14103, 24491, 32882, 17, 15, 11, 279, 1852, 32711, 16790, 438, 304, 279, 1156, 14311, 11, 3650, 304, 419, 1142, 1817, 2781, 374, 4460, 311, 29337, 806, 17683, 13, 1988, 553, 429, 1459, 11, 21998, 702, 2669, 2765, 382, 4792, 3171, 944, 10339, 4113, 3650, 429, 498, 1744, 14261, 323, 29405, 525, 31061, 304, 6770, 6888, 7361, 13, 1416, 498, 646, 653, 279, 6888, 320, 437, 421, 264, 4843, 24321, 998, 646, 653, 279, 6888, 701, 3170, 1035, 358, 537, 1720, 14261, 323, 29405, 311, 387, 2952, 311, 653, 279, 6888, 1939, 6667, 63339, 220, 17, 15, 23, 198, 6667, 4290, 271, 820, 31395, 21192, 271, 8610, 53814, 892, 13798, 11368, 389, 364, 32034, 287, 6, 279, 2213, 315, 2441, 1697, 594, 24875, 374, 60654, 11, 773, 279, 40202, 315, 697, 1809, 374, 60654, 438, 525, 279, 6168, 315, 279, 364, 18312, 29636, 67331, 11775, 389, 1008, 6594, 271, 52940, 374, 11, 498, 525, 11833, 1119, 279, 22240, 429, 1251, 1265, 387, 11758, 438, 22977, 429, 1373, 9135, 2176, 504, 2513, 429, 807, 4157, 7023, 323, 504, 2513, 429, 807, 646, 7023, 714, 1513, 944, 13, 3002, 72950, 31739, 1251, 438, 220, 16, 8, 22977, 429, 525, 11368, 12875, 315, 22184, 5577, 11, 323, 220, 17, 8, 22977, 429, 646, 17697, 320, 12675, 11, 11731, 11, 40872, 8, 1496, 979, 807, 614, 4641, 311, 6016, 5577, 382, 2461, 279, 24483, 315, 5693, 11, 728, 8305, 323, 3291, 601, 1128, 11689, 432, 374, 429, 498, 1744, 21998, 702, 2814, 4969, 323, 1128, 498, 1035, 4190, 311, 653, 911, 432, 382, 30385, 11, 498, 2299, 69747, 279, 6534, 13, 576, 21165, 572, 537, 2494, 429, 4936, 6932, 311, 29405, 323, 14261, 11, 1075, 264, 5810, 20763, 13, 1084, 572, 678, 21998, 594, 3730, 13, 26048, 264, 5810, 20763, 476, 1045, 3093, 315, 11423, 11, 1052, 374, 4325, 879, 646, 387, 5644, 8480, 369, 862, 6168, 382, 40, 646, 944, 3291, 498, 6896, 1128, 21998, 702, 2814, 4969, 2474, 11, 438, 358, 1053, 11, 432, 702, 537, 3602, 1012, 10820, 438, 264, 3093, 315, 4969, 13, 358, 1744, 21998, 1265, 387, 6679, 323, 40898, 421, 1730, 16007, 11, 1101, 1075, 448, 894, 1008, 9778, 382, 4792, 3171, 944, 10339, 4113, 3650, 429, 498, 1744, 14261, 323, 29405, 525, 31061, 304, 6770, 6888, 7361, 13, 1416, 498, 646, 653, 279, 6888, 320, 437, 421, 264, 4843, 24321, 998, 646, 653, 279, 6888, 701, 3170, 1035, 358, 537, 1720, 14261, 323, 29405, 311, 387, 2952, 311, 653, 279, 6888, 1939, 2121, 358, 3003, 6839, 11, 14261, 323, 29405, 2669, 1521, 653, 279, 6888, 13, 2379, 1521, 432, 13942, 13, 1597, 3602, 11, 807, 1033, 2058, 56345, 382, 67331, 11775, 389, 1008, 6594, 271, 8610, 53814, 892, 13798, 11368, 389, 364, 32034, 287, 6, 279, 2213, 315, 2441, 1697, 594, 24875, 374, 60654, 11, 773, 279, 40202, 315, 697, 1809, 374, 60654, 438, 525, 279, 6168, 315, 279, 364, 18312, 29636, 1986, 374, 10875, 26775, 13, 1416, 432, 374, 60654, 311, 1430, 311, 7023, 1128, 4325, 770, 686, 653, 11, 1221, 894, 4774, 311, 3484, 448, 264, 8729, 448, 803, 1091, 825, 1697, 304, 432, 1035, 387, 60654, 382, 67331, 11775, 389, 1008, 6594, 271, 61686, 323, 14261, 646, 387, 5644, 8480, 369, 862, 6168, 13, 1205, 646, 7503, 311, 28295, 382, 67331, 11775, 389, 1008, 6594, 271, 61686, 323, 14261, 646, 387, 5644, 8480, 369, 862, 6168, 13, 1205, 646, 7503, 311, 28295, 382, 2679, 498, 4411, 429, 4325, 646, 1160, 2348, 862, 1828, 11772, 553, 1660, 24438, 11, 1221, 498, 1184, 311, 1779, 697, 33922, 382, 25139, 4157, 3690, 11, 7241, 4325, 16297, 311, 990, 5344, 476, 16124, 476, 419, 4843, 3166, 11, 13812, 382, 67331, 11775, 389, 1008, 6594, 271, 8610, 53814, 892, 13798, 11368, 389, 364, 32034, 287, 6, 279, 2213, 315, 2441, 1697, 594, 24875, 374, 60654, 11, 773, 279, 40202, 315, 697, 1809, 374, 60654, 438, 525, 279, 6168, 315, 279, 364, 18312, 29636, 1986, 374, 10875, 26775, 13, 1416, 432, 374, 60654, 311, 1430, 311, 7023, 1128, 4325, 770, 686, 653, 11, 1221, 894, 4774, 311, 3484, 448, 264, 8729, 448, 803, 1091, 825, 1697, 304, 432, 1035, 387, 60654, 382, 2753, 375, 11, 697, 13134, 7481, 279, 13026, 438, 15358, 330, 258, 862, 24438, 656, 64773, 678, 279, 1616, 11436, 5404, 498, 3535, 24438, 656, 64773, 30, 1084, 374, 537, 24438, 979, 279, 15274, 10577, 6587, 389, 2441, 594, 49135, 14056, 13, 1084, 594, 60654, 323, 650, 721, 44894, 9980, 311, 7942, 323, 63801, 389, 4113, 5089, 11, 432, 594, 4518, 68432, 69105, 88, 13, 2806, 48944, 1846, 35972, 28117, 11, 892, 12118, 481, 1128, 1939, 4416, 279, 1809, 646, 387, 26200, 700, 315, 1424, 438, 26775, 382, 67331, 11775, 389, 1008, 6594, 271, 2753, 375, 11, 697, 13134, 7481, 279, 13026, 438, 15358, 330, 258, 862, 24438, 656, 64773, 678, 279, 1616, 11436, 5404, 498, 3535, 24438, 656, 64773, 30, 1084, 374, 537, 24438, 979, 279, 15274, 10577, 6587, 389, 2441, 594, 49135, 14056, 13, 1084, 594, 60654, 311, 7942, 323, 63801, 389, 4113, 5089, 11, 432, 594, 4518, 68432, 69105, 88, 13, 2806, 48944, 1846, 35972, 28117, 11, 892, 12118, 481, 1128, 1939, 4416, 279, 1809, 646, 387, 26200, 700, 315, 1424, 438, 26775, 382, 641, 1128, 5530, 374, 432, 330, 1921, 24438, 43869, 3197, 498, 653, 2494, 435, 29054, 11, 429, 3363, 429, 498, 3003, 2814, 279, 1850, 498, 646, 2661, 697, 8845, 323, 1995, 13, 17688, 11, 498, 614, 902, 1995, 911, 2494, 11, 714, 8729, 2058, 18154, 429, 498, 1281, 264, 5480, 382, 67331, 11775, 389, 1008, 6594, 271, 8420, 594, 847, 4265, 448, 429, 1555, 315, 32711, 13, 1416, 432, 374, 537, 16124, 11, 1221, 29405, 323, 14261, 1033, 1660, 11368, 24438, 382, 8121, 11256, 51930, 382, 2610, 2803, 311, 387, 9327, 287, 1212, 279, 36004, 9459, 429, 894, 5480, 27211, 16124, 1969, 11, 553, 7271, 11, 387, 330, 81, 1663, 2217, 2623, 773, 13, 330, 49, 1663, 1, 3171, 944, 3076, 330, 258, 279, 19265, 315, 16124, 2217, 41, 271, 67331, 11775, 389, 1008, 6594, 271, 2753, 375, 11, 697, 13134, 7481, 279, 13026, 438, 15358, 330, 258, 862, 24438, 656, 64773, 678, 279, 1616, 11436, 5404, 498, 3535, 24438, 656, 64773, 30, 1084, 374, 537, 24438, 979, 279, 15274, 10577, 6587, 389, 2441, 594, 49135, 14056, 13, 1084, 594, 60654, 311, 7942, 323, 63801, 389, 4113, 5089, 11, 432, 594, 4518, 68432, 69105, 88, 13, 2806, 48944, 1846, 35972, 28117, 11, 892, 12118, 481, 1128, 1939, 4416, 279, 1809, 646, 387, 26200, 700, 315, 1424, 438, 26775, 382, 641, 1128, 5530, 374, 432, 330, 1921, 24438, 43869, 3197, 498, 653, 2494, 435, 29054, 11, 429, 3363, 429, 498, 3003, 2814, 279, 1850, 498, 646, 2661, 697, 8845, 323, 1995, 13, 17688, 11, 498, 614, 902, 1995, 911, 2494, 11, 714, 8729, 2058, 18154, 429, 498, 1281, 264, 5480, 382, 4416, 37036, 25, 1163, 6393, 6559, 897, 369, 897, 1380, 2176, 11067, 2666, 807, 2299, 3709, 279, 7046, 897, 13, 1084, 374, 60654, 311, 22477, 4325, 1035, 537, 22729, 862, 656, 2734, 323, 6559, 264, 7046, 897, 369, 264, 31315, 825, 320, 72, 1734, 13, 32882, 17, 15, 369, 32882, 16, 568, 576, 11186, 879, 3381, 807, 1410, 22054, 419, 44447, 279, 17755, 13, 21455, 9836, 1137, 11, 98024, 11, 862, 656, 2734, 382, 67331, 11775, 389, 1008, 6594, 271, 2121, 1045, 315, 498, 614, 1053, 11, 358, 1513, 944, 1744, 429, 21998, 1521, 4113, 53883, 11, 304, 279, 10916, 5530, 13, 4354, 11, 358, 28295, 429, 29405, 323, 14261, 594, 5754, 311, 15759, 572, 24438, 1576, 807, 1033, 64450, 382, 11526, 498, 20409, 429, 894, 323, 678, 7586, 315, 16517, 429, 1251, 5157, 1969, 387, 24438, 30, 32057, 5338, 315, 678, 11, 807, 1033, 537, 64450, 13, 358, 4172, 1977, 807, 1033, 279, 4734, 14002, 315, 64450, 13, 1205, 1231, 614, 1012, 64450, 11, 21998, 1231, 614, 1012, 1602, 1602, 64450, 11, 714, 29405, 323, 14261, 7838, 14716, 944, 382, 61686, 323, 14261, 9723, 311, 387, 29211, 5577, 448, 279, 1160, 315, 26168, 448, 1817, 1008, 13, 1416, 537, 11, 1221, 697, 58059, 4977, 311, 387, 2494, 20346, 700, 315, 49952, 29918, 323, 7709, 429, 702, 902, 40861, 311, 8729, 382, 15666, 398, 11, 807, 1033, 537, 22331, 311, 7627, 16517, 304, 894, 1142, 13, 2379, 1033, 22331, 311, 3695, 3220, 382, 23336, 11, 714, 1221, 882, 8570, 389, 11, 323, 807, 11105, 458, 6638, 369, 16517, 11, 323, 3867, 432, 13, 10964, 330, 1921, 22331, 432, 1, 6788, 702, 902, 18043, 382, 2679, 807, 6876, 429, 807, 1033, 2087, 311, 387, 330, 306, 529, 2627, 1, 807, 1231, 614, 6509, 279, 3349, 2238, 1550, 11, 892, 1035, 3076, 429, 21998, 594, 3119, 1035, 3690, 13, 21149, 911, 432, 419, 1616, 13, 10479, 1035, 728, 311, 264, 3553, 1380, 1449, 1509, 572, 1045, 9788, 3349, 429, 498, 7691, 944, 1414, 3080, 498, 7230, 311, 3695, 279, 1509, 30, 2308, 825, 11, 13900, 382, 23336, 11, 773, 3170, 17023, 43582, 1251, 879, 1035, 653, 1128, 1931, 1251, 8270, 944, 1939, 2121, 369, 24696, 11, 24696, 374, 60654, 13, 1416, 498, 525, 264, 24438, 1697, 11, 1221, 498, 1035, 1414, 498, 646, 944, 9382, 279, 20785, 304, 264, 11846, 382, 29185, 13, 1416, 498, 2299, 264, 24438, 1697, 11, 498, 1414, 429, 498, 646, 9382, 279, 20785, 11, 714, 429, 3730, 773, 374, 17367, 382, 41, 271, 67331, 11775, 389, 1008, 6594, 271, 8420, 594, 847, 4265, 448, 429, 1555, 315, 32711, 13, 1416, 432, 374, 537, 16124, 11, 1221, 29405, 323, 14261, 1033, 1660, 11368, 24438, 382, 8121, 11256, 51930, 382, 2610, 2803, 311, 387, 9327, 287, 1212, 279, 36004, 9459, 429, 894, 5480, 27211, 16124, 1969, 11, 553, 7271, 11, 387, 330, 81, 1663, 2217, 2623, 773, 13, 330, 49, 1663, 1, 3171, 944, 3076, 330, 258, 279, 19265, 315, 16124, 2217, 41, 271, 19152, 11, 304, 429, 1736, 358, 8791, 311, 1977, 429, 14261, 323, 29405, 1033, 12875, 315, 15358, 304, 862, 24438, 656, 64773, 13, 1416, 419, 572, 16124, 11, 1221, 498, 2299, 1290, 807, 1410, 2058, 387, 24438, 1496, 421, 807, 1410, 537, 1160, 304, 862, 24438, 656, 64773, 382, 67331, 11775, 389, 1008, 6594, 271, 4416, 37036, 25, 1163, 6393, 6559, 897, 369, 897, 1380, 2176, 11067, 2666, 807, 2299, 3709, 279, 7046, 897, 13, 1084, 374, 60654, 311, 22477, 4325, 1035, 537, 22729, 862, 656, 2734, 323, 6559, 264, 7046, 897, 369, 264, 31315, 825, 320, 72, 1734, 13, 32882, 17, 15, 369, 32882, 16, 568, 576, 11186, 879, 3381, 807, 1410, 22054, 419, 44447, 279, 17755, 13, 21455, 9836, 1137, 11, 98024, 11, 862, 656, 2734, 382, 4049, 13, 15335, 9819, 1251, 7838, 1513, 944, 382, 67331, 11775, 389, 1008, 6594, 271, 2623, 895, 13, 81917, 6133, 382, 67331, 11775, 389, 1008, 6594, 271, 2121, 1045, 315, 498, 614, 1053, 11, 358, 1513, 944, 1744, 429, 21998, 1521, 4113, 53883, 11, 304, 279, 10916, 5530, 13, 4354, 11, 358, 28295, 429, 29405, 323, 14261, 594, 5754, 311, 15759, 572, 24438, 1576, 807, 1033, 64450, 382, 11526, 498, 20409, 429, 894, 323, 678, 7586, 315, 16517, 429, 1251, 5157, 1969, 387, 24438, 30, 32057, 785, 2266, 315, 429, 12641, 374, 429, 1045, 1251, 1033, 29574, 429, 29405, 323, 14261, 1033, 15358, 435, 29054, 1576, 807, 1231, 614, 1012, 64450, 553, 279, 15274, 13, 1988, 358, 572, 21633, 700, 429, 1101, 1576, 825, 374, 64450, 553, 279, 15274, 11, 429, 1558, 537, 3076, 429, 862, 7709, 572, 24438, 382, 61686, 323, 14261, 9723, 311, 387, 29211, 5577, 448, 279, 1160, 315, 26168, 448, 1817, 1008, 13, 1416, 537, 11, 1221, 697, 58059, 4977, 311, 387, 2494, 20346, 700, 315, 49952, 29918, 323, 7709, 429, 702, 902, 40861, 311, 8729, 382, 8121, 12, 6603, 51930, 13, 1084, 594, 11368, 3204, 429, 4325, 2578, 653, 2494, 1496, 421, 807, 1033, 537, 64450, 553, 279, 1160, 382, 23336, 11, 714, 1221, 882, 8570, 389, 11, 323, 807, 11105, 458, 6638, 369, 16517, 11, 323, 3867, 432, 13, 10964, 330, 1921, 22331, 432, 1, 6788, 702, 902, 18043, 382, 2132, 1558, 4925, 1576, 421, 498, 1513, 944, 633, 279, 1985, 498, 3601, 311, 3695, 323, 614, 7171, 369, 11, 1221, 498, 614, 1012, 707, 956, 37377, 382, 23336, 11, 773, 3170, 17023, 43582, 1251, 879, 1035, 653, 1128, 1931, 1251, 8270, 944, 1939, 4792, 1142, 1172, 31138, 1128, 1035, 3537, 421, 807, 6876, 279, 15274, 13, 576, 4361, 1459, 374, 429, 807, 3207, 944, 382, 29185, 13, 1416, 498, 2299, 264, 24438, 1697, 11, 498, 1414, 429, 498, 646, 9382, 279, 20785, 11, 714, 429, 3730, 773, 374, 17367, 382, 2610, 1414, 1128, 358, 3076, 382, 67331, 11775, 389, 1008, 6594, 271, 2623, 895, 13, 81917, 6133, 382, 41678, 2719, 374, 15358, 304, 697, 1828, 24438, 41476, 2734, 13, 15335, 9819, 1251, 11, 553, 7271, 11, 1513, 944, 653, 419, 382, 67331, 11775, 389, 1008, 6594, 271, 40, 1744, 432, 374, 882, 311, 3624, 38757, 11203, 311, 279, 38757, 15079, 323, 653, 1045, 6001, 38355, 1447, 5404, 1045, 7497, 2146, 4934, 1045, 83807, 20225, 437, 2506, 1059, 1212, 21930, 2146, 67331, 11775, 389, 1008, 6594, 271, 3036, 1128, 1521, 14261, 323, 29405, 653, 448, 23115, 323, 10252, 1939, 1112, 52888, 6191, 595, 766, 12570, 1184, 311, 1414, 2146, 67331, 11775, 389, 1008, 6594, 271, 2623, 895, 13, 81917, 6133, 382, 41678, 2719, 374, 15358, 304, 697, 1828, 24438, 41476, 2734, 13, 15335, 9819, 1251, 11, 553, 7271, 11, 1513, 944, 653, 419, 382, 40, 1521, 537, 1977, 24438, 656, 2734, 13, 5162, 374, 43022, 320, 44, 4909, 568, 8853, 22729, 1128, 807, 44393, 374, 862, 656, 2734, 304, 4460, 311, 6559, 1128, 311, 1105, 374, 264, 2686, 269, 897, 369, 264, 7046, 825, 13, 758, 419, 1142, 432, 1035, 387, 2588, 311, 17585, 429, 264, 31315, 3311, 315, 3220, 374, 3832, 3132, 315, 803, 897, 1091, 264, 7046, 825, 320, 38770, 21998, 572, 29949, 476, 264, 4462, 315, 1045, 14888, 4511, 568, 576, 44365, 17508, 374, 11133, 897, 369, 897, 11, 432, 374, 15985, 553, 2176, 11067, 429, 264, 6559, 686, 1896, 1992, 979, 2176, 9677, 44393, 8722, 13, 2938, 374, 264, 24438, 9289, 13, 15277, 29405, 323, 14261, 1033, 60654, 311, 22477, 807, 1410, 8722, 1393, 21998, 5558, 13, 3216, 697, 7271, 807, 1033, 15358, 4893, 269, 745, 323, 44447, 1128, 807, 2684, 382, 67331, 11775, 389, 1008, 6594, 271, 40, 1521, 537, 1977, 24438, 656, 2734, 13, 5162, 374, 43022, 320, 44, 4909, 568, 8853, 22729, 1128, 807, 44393, 374, 862, 656, 2734, 304, 4460, 311, 6559, 1128, 311, 1105, 374, 264, 2686, 269, 897, 369, 264, 7046, 825, 13, 758, 419, 1142, 432, 1035, 387, 2588, 311, 17585, 429, 264, 31315, 3311, 315, 3220, 374, 3832, 3132, 315, 803, 897, 1091, 264, 7046, 825, 320, 38770, 21998, 572, 29949, 476, 264, 4462, 315, 1045, 14888, 4511, 568, 576, 44365, 17508, 374, 11133, 897, 369, 897, 11, 432, 374, 15985, 553, 2176, 11067, 429, 264, 6559, 686, 1896, 1992, 979, 2176, 9677, 44393, 8722, 13, 2938, 374, 264, 24438, 9289, 13, 15277, 29405, 323, 14261, 1033, 60654, 311, 22477, 807, 1410, 8722, 1393, 21998, 5558, 13, 3216, 697, 7271, 807, 1033, 15358, 4893, 269, 745, 323, 44447, 1128, 807, 2684, 382, 3872, 419, 84021, 830, 30, 9211, 421, 897, 374, 43022, 11, 1221, 29405, 323, 14261, 4157, 1977, 429, 21998, 374, 15358, 6216, 2165, 745, 1101, 1576, 806, 2750, 1513, 944, 25879, 311, 862, 1828, 382, 67331, 11775, 389, 1008, 6594, 271, 40, 1744, 429, 279, 3093, 315, 3166, 429, 21998, 13238, 374, 2598, 264, 330, 70, 2969, 275, 51418, 32, 3671, 11, 1917, 11, 476, 8568, 13841, 11, 11136, 825, 1197, 14277, 264, 8381, 315, 5214, 11, 429, 374, 16588, 311, 8722, 458, 9423, 382, 67331, 11775, 389, 1008, 6594, 271, 40, 1521, 537, 1977, 24438, 656, 2734, 13, 5162, 374, 43022, 320, 44, 4909, 568, 8853, 22729, 1128, 807, 44393, 374, 862, 656, 2734, 304, 4460, 311, 6559, 1128, 311, 1105, 374, 264, 2686, 269, 897, 369, 264, 7046, 825, 13, 758, 419, 1142, 432, 1035, 387, 2588, 311, 17585, 429, 264, 31315, 3311, 315, 3220, 374, 3832, 3132, 315, 803, 897, 1091, 264, 7046, 825, 320, 38770, 21998, 572, 29949, 476, 264, 4462, 315, 1045, 14888, 4511, 568, 576, 44365, 17508, 374, 11133, 897, 369, 897, 11, 432, 374, 15985, 553, 2176, 11067, 429, 264, 6559, 686, 1896, 1992, 979, 2176, 9677, 44393, 8722, 13, 2938, 374, 264, 24438, 9289, 13, 15277, 29405, 323, 14261, 1033, 60654, 311, 22477, 807, 1410, 8722, 1393, 21998, 5558, 13, 3216, 697, 7271, 807, 1033, 15358, 4893, 269, 745, 323, 44447, 1128, 807, 2684, 382, 3872, 419, 84021, 830, 30, 9211, 421, 897, 374, 43022, 11, 1221, 29405, 323, 14261, 4157, 1977, 429, 21998, 374, 15358, 6216, 2165, 745, 1101, 1576, 806, 2750, 1513, 944, 25879, 311, 862, 1828, 382, 4416, 37036, 25, 358, 4411, 773, 13, 1416, 498, 8990, 944, 1349, 386, 4909, 566, 374, 1741, 264, 16656, 311, 1349, 13, 576, 37939, 277, 32711, 3738, 1660, 13, 3197, 358, 1156, 1349, 386, 4909, 1657, 1635, 4134, 358, 10199, 264, 37166, 448, 4244, 323, 862, 17473, 13, 358, 435, 485, 329, 1657, 3039, 1573, 537, 32821, 320, 62895, 8, 847, 37166, 13, 358, 6934, 1435, 369, 1635, 315, 44178, 323, 80769, 421, 498, 4172, 1075, 311, 2182, 1007, 697, 4545, 81099, 369, 50469, 13, 358, 3855, 419, 14132, 5290, 362, 1872, 23963, 979, 358, 1349, 279, 3409, 330, 747, 66421, 2449, 1, 369, 279, 1156, 882, 323, 358, 572, 773, 33972, 979, 358, 6966, 432, 705, 323, 1730, 700, 1128, 432, 8791, 13, 358, 1730, 264, 2114, 382, 76164, 374, 4303, 264, 390, 714, 432, 374, 773, 8036, 323, 279, 3349, 374, 11872, 279, 17755, 1558, 29405, 323, 14261, 264, 2473, 382, 67331, 11775, 389, 1008, 6594, 271, 40, 3855, 419, 14132, 5290, 362, 1872, 23963, 979, 358, 1349, 279, 3409, 330, 747, 66421, 2449, 1, 369, 279, 1156, 882, 323, 358, 572, 773, 33972, 979, 358, 6966, 432, 705, 323, 1730, 700, 1128, 432, 8791, 13, 358, 1730, 264, 2114, 382, 25756, 28821, 10982, 382, 28084, 53626, 572, 4969, 389, 429, 1576, 362, 1872, 8542, 752, 429, 1852, 2114, 323, 358, 646, 3887, 304, 432, 1817, 323, 1449, 1899, 429, 358, 13588, 7017, 5157, 2238, 382, 12658, 271, 32, 2146, 67331, 11775, 389, 1008, 6594, 271, 76164, 374, 4303, 264, 390, 714, 432, 374, 773, 8036, 323, 279, 3349, 374, 11872, 279, 17755, 1558, 29405, 323, 14261, 264, 2473, 382, 76164, 374, 4303, 264, 390, 11, 714, 279, 3405, 374, 11, 374, 566, 3730, 4113, 4969, 30, 3155, 1052, 3000, 2477, 22471, 2962, 533, 323, 2477, 2220, 97957, 28480, 88635, 6168, 1939, 67331, 11775, 389, 1008, 6594, 271, 76164, 374, 4303, 264, 390, 714, 432, 374, 773, 8036, 323, 279, 3349, 374, 11872, 279, 17755, 1558, 29405, 323, 14261, 264, 2473, 382, 76164, 374, 4303, 264, 390, 11, 714, 279, 3405, 374, 11, 374, 566, 3730, 4113, 4969, 30, 3155, 1052, 3000, 2477, 22471, 2962, 533, 323, 2477, 2220, 97957, 28480, 88635, 6168, 1939, 76164, 374, 21585, 21931, 264, 16124, 714, 458, 8036, 825, 448, 537, 6001, 15917, 13, 8713, 498, 11285, 448, 279, 4647, 20878, 13774, 30, 362, 3347, 2188, 97434, 646, 614, 264, 6785, 2456, 389, 458, 46020, 13, 21998, 594, 390, 1809, 1558, 537, 10000, 311, 279, 2188, 315, 1660, 57459, 369, 264, 9778, 13, 358, 8270, 944, 2182, 4113, 3267, 1435, 3498, 11, 323, 8270, 944, 21399, 1435, 311, 13856, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2585, 1657, 17228, 646, 1102, 504, 61856, 264, 264, 21495, 311, 264, 1651, 1422, 75308, 382, 1986, 8544, 374, 220, 18, 24, 24, 22, 2849, 2310, 892, 374, 803, 1091, 279, 220, 18, 21, 20, 1899, 12171, 582, 2138, 369, 501, 30637, 13, 5209, 1736, 264, 501, 8544, 382, 565, 50662, 15419, 271, 2679, 358, 614, 264, 21495, 323, 264, 1422, 75308, 1246, 1657, 17228, 646, 1102, 504, 61856, 429, 21495, 311, 279, 1422, 75308, 13, 358, 646, 1172, 2525, 705, 448, 220, 22, 3501, 13, 2160, 419, 2167, 279, 7192, 30, 358, 1744, 429, 264, 21495, 646, 1172, 1494, 1526, 803, 1091, 220, 19, 24730, 315, 264, 1422, 75308, 421, 432, 16211, 6896, 1526, 279, 23462, 304, 892, 1142, 432, 1172, 11450, 825, 5107, 11936, 62345, 382, 67331, 11775, 389, 1008, 6594, 198, 32, 21495, 320, 269, 11031, 8, 646, 1494, 1526, 678, 220, 21, 24730, 315, 279, 1422, 75308, 1112, 8088, 358, 1172, 1490, 220, 21, 17228, 1660, 3465, 1052, 271, 67331, 11775, 389, 1008, 6594, 198, 641, 279, 11785, 1142, 11, 220, 21, 9, 19, 1154, 25538, 279, 1422, 75308, 702, 220, 21, 24730, 323, 279, 21495, 198, 437, 1181, 12942, 949, 31796, 279, 1008, 220, 21, 12, 16, 24730, 304, 2484, 624, 1986, 374, 264, 8848, 1142, 11, 714, 432, 1410, 3537, 345, 7661, 4586, 5048, 6761, 389, 21495, 9892, 1154, 8789, 279, 14806, 374, 271, 47, 28, 320, 4024, 21495, 3501, 481, 73059, 3501, 873, 353, 31796, 291, 1422, 75308, 24730, 271, 67331, 11775, 389, 1008, 6594, 198, 785, 21495, 1410, 13581, 31796, 678, 315, 279, 4743, 1422, 75308, 24730, 13, 1446, 1035, 614, 311, 1273, 825, 11031, 1283, 279, 1008, 13, 1752, 1817, 11031, 1378, 501, 17228, 1410, 387, 7907, 421, 458, 19246, 13666, 11, 773, 304, 279, 835, 432, 1035, 387, 3204, 429, 498, 1035, 614, 311, 6923, 220, 21, 9, 17, 28, 16, 17, 501, 17228, 304, 2790, 315, 892, 537, 678, 614, 311, 3520, 387, 1483, 553, 279, 12942, 11, 73059, 29372, 382, 67331, 11775, 389, 1008, 6594, 198, 59528, 374, 279, 7192, 369, 61856, 311, 279, 1599, 323, 809, 24730, 11, 714, 498, 646, 633, 825, 803, 1817, 504, 61856, 311, 279, 3143, 323, 3041, 24730, 438, 1632, 13, 21149, 315, 432, 419, 1616, 481, 1817, 11031, 646, 2484, 264, 3175, 11936, 315, 697, 320, 45484, 25244, 73059, 8, 29372, 1119, 458, 6821, 481, 773, 432, 4990, 3123, 825, 11936, 323, 11367, 1378, 13, 2055, 498, 1191, 448, 264, 21495, 284, 220, 18, 17228, 11, 323, 1817, 315, 279, 220, 21, 24730, 51615, 55, 11, 51615, 56, 11, 51615, 57, 646, 912, 264, 3175, 11936, 1817, 13, 10657, 284, 220, 24, 382, 16, 13, 220, 16, 198, 49, 332, 258, 198, 18, 23, 198, 17, 13, 220, 17, 198, 18, 13, 220, 18, 198, 19, 13, 220, 19, 198, 20, 13, 220, 20, 271, 6667, 220, 16, 16, 198, 6667, 220, 24, 198, 6667, 220, 16, 17, 198, 6667, 220, 16, 19, 198, 6667, 220, 24, 198, 6667, 16600, 17538, 24624, 271, 6667, 10657, 40894, 198, 21, 18, 18, 18, 20, 15, 198, 6667, 10657, 15419, 198, 18, 15, 16, 16, 19, 22, 15, 198, 6667, 16600, 10479, 594, 8105, 320, 9830, 2480, 1140, 692, 3862, 525, 902, 9681, 3847, 5023, 2860, 271, 17568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 38122, 1447, 2, 431, 13586, 34713, 3393, 671, 18, 271, 10494, 510, 29019, 16209, 1447, 641, 419, 3772, 11, 582, 3960, 911, 51562, 5109, 13, 44763, 11, 582, 686, 5244, 389, 1246, 311, 4778, 448, 4361, 5109, 13, 34916, 11, 458, 4734, 897, 374, 537, 4362, 13, 6771, 748, 22477, 582, 525, 3330, 518, 9331, 13, 1205, 2578, 1477, 429, 264, 1614, 1599, 1803, 7049, 400, 17, 24, 11, 22, 20, 20, 13, 22, 23, 11, 19853, 264, 1614, 479, 1803, 7049, 3, 19, 15, 11, 17, 17, 21, 13, 18, 23, 13, 2014, 1281, 12850, 4285, 323, 4135, 311, 6099, 11, 582, 1231, 1101, 1977, 279, 1614, 1599, 1803, 7049, 911, 400, 18, 15, 11, 15, 15, 15, 323, 279, 1614, 479, 1803, 7049, 911, 3, 19, 15, 11, 15, 15, 15, 13, 4220, 2750, 315, 400, 18, 15, 11, 15, 15, 15, 323, 3, 19, 15, 11, 15, 15, 15, 4009, 9848, 96376, 13, 1527, 56204, 374, 458, 16045, 476, 897, 429, 374, 3265, 11, 714, 537, 6896, 279, 1852, 438, 279, 4024, 13, 431, 13586, 264, 4361, 1372, 374, 264, 1616, 311, 2968, 458, 56204, 13, 2014, 4778, 264, 4361, 1372, 11, 1156, 582, 1969, 10542, 1246, 23560, 582, 1366, 1039, 56204, 311, 387, 13, 1096, 43714, 504, 7086, 264, 4778, 1007, 1992, 13, 9646, 419, 374, 3881, 11, 582, 3161, 1039, 10324, 510, 16, 13, 64547, 279, 15723, 304, 279, 4778, 1007, 1992, 198, 17, 13, 14561, 825, 15723, 1290, 510, 6667, 1416, 419, 15723, 374, 220, 19, 476, 2686, 11, 582, 2506, 279, 15723, 304, 279, 4778, 1007, 1992, 438, 374, 323, 2297, 1449, 15723, 429, 11017, 1119, 264, 7168, 198, 6667, 1416, 419, 15723, 374, 220, 20, 476, 7046, 11, 582, 912, 825, 311, 279, 15723, 304, 279, 4778, 1007, 1992, 11, 323, 2297, 1449, 15723, 429, 11017, 1119, 264, 7168, 382, 13314, 220, 16, 25, 17097, 220, 18, 17, 21, 311, 279, 23480, 5779, 198, 18, 17, 21, 481, 576, 220, 17, 374, 279, 15723, 304, 279, 4778, 1007, 1992, 198, 18, 17, 21, 481, 576, 220, 21, 374, 825, 15723, 311, 279, 1290, 315, 279, 220, 17, 11, 419, 15723, 374, 304, 279, 5582, 315, 220, 20, 476, 7046, 13, 1752, 419, 15048, 582, 912, 825, 311, 279, 15723, 304, 279, 4778, 1007, 1992, 320, 17, 568, 2055, 220, 17, 488, 220, 16, 284, 220, 18, 13, 576, 15723, 304, 279, 22008, 1992, 686, 387, 5497, 1119, 264, 220, 18, 323, 279, 15723, 429, 11017, 374, 5497, 1119, 264, 220, 15, 624, 18, 17, 21, 57450, 311, 279, 4182, 15432, 17695, 374, 220, 18, 18, 15, 271, 10, 6928, 4398, 488 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 69339, 271, 2016, 461, 24424, 484, 2396, 76394, 10432, 9976, 315, 11791, 323, 9965, 320, 7783, 50, 14474, 701, 2263, 460, 198, 49, 6190, 730, 6023, 88, 5559, 702, 3465, 419, 36028, 323, 220, 16, 15, 15, 10, 803, 5812, 2973, 4894, 30812, 9976, 4940, 11791, 320, 45, 952, 701, 9582, 404, 24998, 198, 2082, 927, 11496, 86310, 64, 702, 23933, 419, 36028, 323, 220, 16, 21, 15, 15, 10, 803, 5812, 2973, 2219, 14986, 389, 58755, 315, 9315, 7246, 12687, 12478, 271, 50389, 220, 15, 25, 4968, 7658, 16927, 2914, 21517, 198, 52676, 12199, 198, 18077, 83, 284, 28406, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 340, 64, 284, 28406, 71, 9, 7778, 15176, 24254, 38079, 9, 53, 39091, 340, 1986, 14806, 5711, 220, 21, 21419, 198, 22678, 12199, 198, 1109, 79198, 8628, 8317, 35606, 481, 1200, 79198, 8628, 8317, 35606, 374, 279, 4379, 315, 8628, 8317, 1948, 264, 6437, 7329, 323, 264, 15590, 817, 4982, 7329, 3082, 817, 4982, 78072, 9603, 13, 320, 85355, 304, 58975, 817, 52539, 29456, 817, 730, 340, 23697, 12030, 481, 576, 26963, 12030, 315, 264, 2326, 32420, 6083, 374, 279, 2629, 315, 678, 315, 279, 7329, 5671, 315, 1817, 315, 279, 11067, 13, 320, 85355, 304, 15619, 52539, 340, 1462, 25333, 481, 4120, 25333, 1283, 264, 3953, 3383, 374, 3855, 13, 320, 85355, 304, 10440, 340, 66719, 481, 72610, 374, 279, 8381, 315, 16830, 2090, 315, 264, 19699, 13, 320, 85355, 304, 37888, 12958, 817, 52539, 43201, 340, 18902, 481, 20265, 374, 279, 3311, 315, 3550, 429, 264, 19699, 476, 1633, 75754, 476, 429, 374, 43810, 2878, 264, 5476, 13, 320, 85355, 304, 18030, 292, 52539, 340, 47514, 26070, 40110, 481, 28262, 26070, 40110, 374, 279, 8628, 2567, 311, 4828, 279, 9315, 315, 279, 4982, 3072, 315, 264, 2661, 19699, 553, 264, 2661, 3311, 13, 320, 85355, 304, 730, 18045, 73, 283, 273, 817, 37888, 12958, 817, 730, 340, 50389, 220, 16, 25, 7169, 5571, 1141, 8, 311, 5351, 7954, 198, 1109, 79198, 8628, 8317, 35606, 25, 220, 16, 58975, 817, 52539, 29456, 817, 730, 3844, 220, 16, 58975, 817, 52539, 29456, 817, 730, 2308, 42509, 12659, 198, 23697, 12030, 25, 220, 20, 15, 15619, 52539, 3844, 220, 20, 15, 15619, 52539, 2308, 42509, 12659, 198, 1462, 25333, 25, 220, 16, 10440, 3844, 220, 16, 10440, 2308, 42509, 12659, 198, 66719, 25, 220, 20, 13, 20, 16, 37888, 12958, 817, 52539, 43201, 3844, 220, 20, 13, 20, 16, 37888, 12958, 817, 52539, 43201, 2308, 42509, 12659, 198, 18902, 25, 220, 21, 18, 18030, 292, 52539, 3844, 220, 21, 18, 18030, 292, 52539, 2308, 42509, 12659, 198, 47514, 26070, 40110, 25, 220, 19, 13, 16, 23, 19, 730, 18045, 73, 283, 273, 817, 37888, 12958, 817, 730, 3844, 220, 19, 16, 23, 19, 96048, 273, 817, 37888, 12958, 817, 730, 320, 3973, 14409, 1588, 340, 50389, 220, 17, 25, 54115, 30822, 198, 3136, 3696, 10607, 5571, 24979, 304, 30822, 198, 64, 284, 28406, 71, 9, 7778, 15176, 24254, 38079, 9, 53, 39091, 8, 3844, 28406, 16, 9, 20, 15, 9, 16, 24254, 20, 13, 20, 16, 9, 21, 18, 9, 19, 16, 23, 19, 340, 36, 25510, 1095, 2503, 12236, 64, 284, 481, 18, 13, 19, 19, 17, 20, 24, 21, 24, 20, 19, 16, 18, 18, 19, 18, 36, 12, 15, 20, 198, 50389, 220, 18, 25, 7169, 5714, 311, 9258, 594, 7954, 198, 12, 18, 13, 19, 19, 17, 20, 24, 21, 24, 20, 19, 16, 18, 18, 19, 18, 36, 12, 15, 20, 3844, 2308, 42509, 12659, 198, 12, 18, 13, 19, 19, 17, 20, 24, 21, 24, 20, 19, 16, 18, 18, 19, 18, 36, 12, 15, 20, 70386, 19305, 198, 3025, 16927, 2914, 8145, 304, 220, 15, 15, 13, 15, 16, 21, 6486, 692, 27, 220, 16, 15, 10, 4058, 1167, 26070, 1200, 23113, 31359, 2973, 271, 30340, 17666, 8628, 8317, 4379, 198, 19963, 9246, 284, 1200, 79198, 8628, 8317, 35606, 9, 23697, 12030, 6599, 6341, 37022, 12, 69966, 9315, 17729, 4580, 65667, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 7705, 5994, 198, 40690, 1283, 2661, 882, 25333, 198, 34558, 284, 1781, 6341, 37022, 12, 69966, 9315, 17729, 4580, 65667, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 25759, 10, 69966, 9315, 5994, 198, 7595, 8628, 8317, 2337, 264, 882, 9873, 198, 19963, 35403, 10102, 41, 284, 72610, 9, 47514, 8628, 9, 18902, 6599, 6341, 37022, 12, 69966, 9315, 17729, 16, 8013, 4580, 65667, 33, 11098, 1372, 9, 26972, 1268, 5624, 25759, 5994, 198, 22777, 315, 9315, 6672, 369, 2661, 882, 25333, 198, 34558, 19917, 284, 1343, 65667, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 593, 5994, 198, 14986, 389, 58755, 315, 9315, 7246, 12687, 198, 18077, 83, 284, 28406, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 8, 5994, 198, 4816, 315, 425, 11098, 323, 88954, 5624, 304, 3793, 315, 1849, 5888, 198, 18077, 83, 284, 320, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 8, 5994, 198, 1462, 19305, 304, 650, 71666, 1584, 8628, 8317, 198, 29143, 86013, 284, 320, 66719, 9, 47514, 26070, 40110, 9, 18902, 24254, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 8, 5994, 198, 1001, 18067, 97103, 275, 681, 198, 68118, 16388, 580, 275, 681, 284, 72610, 9, 47514, 26070, 40110, 9, 18902, 5994, 198, 22777, 315, 9315, 6672, 369, 2661, 882, 25333, 304, 3793, 315, 425, 11098, 323, 88954, 5624, 198, 34558, 19917, 284, 1343, 65667, 33, 11098, 1372, 9, 26972, 1268, 5624, 593, 5994, 198, 14986, 389, 58755, 315, 9315, 7246, 12687, 304, 3793, 315, 425, 11098, 323, 88954, 5624, 198, 18077, 83, 284, 28406, 33, 11098, 1372, 9, 26972, 1268, 5624, 8, 5994, 271, 14986, 389, 58755, 315, 9315, 7246, 12687, 30822, 271, 18077, 83, 284, 28406, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 340, 64, 284, 28406, 71, 9, 7778, 15176, 24254, 38079, 9, 53, 39091, 692, 3838, 374, 37022, 54485, 12687, 1939, 785, 9315, 7246, 5025, 315, 650, 71666, 20733, 8628, 8317, 8609, 311, 8253, 279, 4379, 315, 8628, 8317, 429, 702, 1012, 13075, 304, 279, 48529, 291, 1849, 304, 264, 2661, 882, 4168, 382, 4340, 311, 20517, 7420, 389, 58755, 315, 9315, 7246, 12687, 1939, 14986, 389, 58755, 315, 9315, 7246, 12687, 29952, 5711, 6783, 83, 284, 28406, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 8, 311, 11047, 279, 19305, 11, 7420, 389, 58755, 315, 9315, 7246, 12687, 14806, 47417, 279, 897, 315, 2355, 389, 58755, 304, 279, 23606, 892, 3643, 279, 4623, 21937, 315, 48529, 291, 1849, 4135, 13, 19305, 374, 3371, 9253, 553, 264, 7735, 382, 4340, 311, 11047, 7420, 389, 58755, 315, 9315, 7246, 12687, 1667, 419, 2860, 29952, 30, 2014, 990, 419, 2860, 29952, 369, 7420, 389, 58755, 315, 9315, 7246, 12687, 11, 3725, 1200, 79198, 8628, 8317, 35606, 320, 71, 701, 26963, 12030, 320, 7778, 701, 4120, 25333, 320, 83, 701, 72610, 320, 38079, 701, 20265, 320, 53, 8, 609, 28262, 26070, 40110, 320, 66, 8, 323, 4201, 279, 11047, 3137, 13, 5692, 374, 1246, 279, 7420, 389, 58755, 315, 9315, 7246, 12687, 21937, 646, 387, 11247, 448, 2661, 1946, 2750, 1464, 481, 18, 13, 19, 19, 18, 36, 12, 20, 284, 28406, 16, 9, 20, 15, 9, 16, 24254, 20, 13, 20, 16, 9, 21, 18, 9, 19, 16, 23, 19, 3593, 54932, 271, 3838, 374, 7420, 389, 58755, 315, 9315, 7246, 12687, 5267, 14986, 389, 58755, 315, 9315, 7246, 12687, 14806, 47417, 279, 897, 315, 2355, 389, 58755, 304, 279, 23606, 892, 3643, 279, 4623, 21937, 315, 48529, 291, 1849, 4135, 323, 374, 15251, 438, 264, 284, 28406, 71, 9, 7778, 15176, 24254, 38079, 9, 53, 39091, 8, 476, 6783, 83, 284, 28406, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 568, 1200, 79198, 8628, 8317, 35606, 374, 279, 4379, 315, 8628, 8317, 1948, 264, 6437, 7329, 323, 264, 15590, 817, 4982, 7329, 3082, 817, 4982, 78072, 9603, 11, 576, 26963, 12030, 315, 264, 2326, 32420, 6083, 374, 279, 2629, 315, 678, 315, 279, 7329, 5671, 315, 1817, 315, 279, 11067, 11, 4120, 25333, 1283, 264, 3953, 3383, 374, 3855, 11, 72610, 374, 279, 8381, 315, 16830, 2090, 315, 264, 19699, 11, 20265, 374, 279, 3311, 315, 3550, 429, 264, 19699, 476, 1633, 75754, 476, 429, 374, 43810, 2878, 264, 5476, 609, 28262, 26070, 40110, 374, 279, 8628, 2567, 311, 4828, 279, 9315, 315, 279, 4982, 3072, 315, 264, 2661, 19699, 553, 264, 2661, 3311, 624, 4340, 311, 11047, 7420, 389, 58755, 315, 9315, 7246, 12687, 5267, 14986, 389, 58755, 315, 9315, 7246, 12687, 14806, 47417, 279, 897, 315, 2355, 389, 58755, 304, 279, 23606, 892, 3643, 279, 4623, 21937, 315, 48529, 291, 1849, 4135, 374, 16588, 1667, 6783, 83, 284, 28406, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 568, 2014, 11047, 7420, 389, 58755, 315, 9315, 7246, 12687, 11, 498, 1184, 1200, 79198, 8628, 8317, 35606, 320, 71, 701, 26963, 12030, 320, 7778, 701, 4120, 25333, 320, 83, 701, 72610, 320, 38079, 701, 20265, 320, 53, 8, 609, 28262, 26070, 40110, 320, 66, 568, 3085, 1039, 5392, 11, 498, 1184, 311, 3725, 279, 19511, 897, 369, 1200, 79198, 8628, 8317, 35606, 11, 26963, 12030, 11, 4120, 25333, 11, 72610, 11, 20265, 609, 28262, 26070, 40110, 323, 4201, 279, 11047, 3137, 13, 1446, 646, 1083, 3293, 279, 8153, 320, 333, 894, 8, 369, 5571, 1141, 8, 323, 279, 9258, 438, 1632, 624, 4340, 1657, 5510, 525, 1052, 311, 11047, 19305, 5267, 641, 419, 14806, 11, 19305, 5711, 1200, 79198, 8628, 8317, 35606, 11, 26963, 12030, 11, 4120, 25333, 11, 72610, 11, 20265, 609, 28262, 26070, 40110, 13, 1205, 646, 990, 220, 16, 15, 1008, 1616, 1141, 8, 311, 11047, 279, 1852, 11, 892, 374, 14, 546, 438, 11017, 18221, 6667, 8628, 9246, 284, 1200, 79198, 8628, 8317, 35606, 9, 23697, 12030, 6599, 6341, 37022, 12, 69966, 9315, 17729, 4580, 65667, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 5929, 6667, 8628, 35403, 10102, 41, 284, 72610, 9, 47514, 8628, 9, 18902, 6599, 6341, 37022, 12, 69966, 9315, 17729, 16, 8013, 4580, 65667, 33, 11098, 1372, 9, 26972, 1268, 5624, 22788, 6667, 31823, 86013, 284, 320, 66719, 9, 47514, 26070, 40110, 9, 18902, 24254, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 340, 6667, 6783, 83, 284, 28406, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 340, 6667, 6783, 83, 284, 28406, 33, 11098, 1372, 9, 26972, 1268, 5624, 340, 6667, 9315, 19917, 284, 1343, 65667, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 1171, 6667, 9315, 19917, 284, 1343, 65667, 33, 11098, 1372, 9, 26972, 1268, 5624, 1171, 6667, 9315, 284, 1781, 6341, 37022, 12, 69966, 9315, 17729, 4580, 65667, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 25759, 10, 69966, 9315, 198, 6667, 6783, 83, 284, 320, 1109, 79198, 8628, 8317, 35606, 9, 23697, 12030, 9, 1462, 25333, 24254, 66719, 9, 18902, 9, 47514, 26070, 40110, 340, 6667, 28387, 16388, 580, 275, 681, 284, 72610, 9, 47514, 26070, 40110, 9, 18902, 198, 10061, 25028, 14187 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2585, 653, 498, 24438, 551, 279, 46912, 323, 39721, 17946, 17, 2687, 8140, 20, 1939, 20722, 220, 19, 11, 220, 17, 15, 16, 21, 271, 58736, 37018, 35702, 26888, 90, 16, 15, 3417, 90, 20, 31716, 271, 820, 71287, 1447, 95155, 553, 220, 16, 323, 498, 653, 537, 2297, 279, 36988, 897, 13, 220, 16, 646, 2525, 304, 1657, 7586, 13, 434, 4644, 3110, 25, 400, 16, 284, 1124, 37018, 35702, 26888, 90, 20, 3417, 35702, 26888, 90, 20, 3417, 66426, 95155, 553, 220, 16, 714, 304, 279, 1352, 315, 400, 16, 284, 1124, 37018, 35702, 26888, 90, 20, 3417, 35702, 26888, 90, 20, 3417, 3, 7086, 271, 58736, 37018, 35702, 26888, 90, 17, 3417, 35702, 26888, 90, 20, 3417, 1124, 15136, 1124, 37018, 35702, 26888, 90, 20, 3417, 35702, 26888, 90, 20, 3417, 66426, 3, 28, 1124, 37018, 35702, 26888, 90, 17, 92, 1124, 26888, 90, 20, 3417, 90, 20, 31716, 271, 3, 28, 1124, 37018, 35702, 26888, 90, 17, 1124, 15136, 220, 20, 3417, 90, 20, 31716, 271, 58736, 37018, 35702, 26888, 90, 16, 15, 3417, 90, 20, 31716 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1032, 25, 1246, 311, 29625, 279, 220, 16, 15, 48342, 2750, 1119, 24455, 220, 16, 15, 48342, 2750, 1939, 1925, 220, 17, 21, 17449, 2572, 220, 16, 15, 25, 15, 23, 11, 50916, 60215, 366, 76, 14624, 1112, 31, 44102, 87, 29, 6139, 510, 13048, 2009, 345, 40, 614, 458, 16319, 911, 7703, 279, 4763, 315, 279, 198, 8948, 553, 29625, 287, 279, 21892, 5109, 304, 4625, 624, 5158, 311, 29625, 279, 220, 16, 15, 48342, 2750, 1119, 24455, 220, 16, 15, 48342, 2750, 5267, 72, 1513, 944, 614, 894, 4522, 3602, 13, 2980, 5489, 2968, 752, 894, 4522, 13, 86605, 15514, 70126, 198, 6667, 17091, 220, 4102, 4854, 14396, 1467, 220, 16, 15, 48342, 897, 448, 18509, 304, 279, 198, 27904, 508, 15, 496, 24, 60, 1265, 387, 24455, 311, 264, 220, 16, 15, 48342, 1372, 198, 4197, 18509, 304, 279, 9873, 508, 15, 496, 24, 26126, 6667, 17091, 220, 4102, 4854, 24455, 897, 315, 220, 16, 15, 18509, 1265, 387, 3204, 311, 198, 73295, 1182, 311, 264, 14396, 1467, 220, 16, 15, 48342, 897, 382, 12658, 369, 894, 18821, 382, 9707, 3554, 40, 1035, 653, 432, 1075, 419, 320, 574, 1714, 374, 4135, 389, 264, 6573, 315, 5567, 7731, 16, 8, 6718, 279, 1372, 1119, 220, 17, 6978, 315, 220, 20, 18509, 198, 17, 8, 6407, 279, 18509, 304, 279, 1156, 2802, 220, 16, 1992, 279, 279, 2115, 11, 323, 220, 17, 198, 26078, 311, 279, 2115, 271, 258, 279, 2086, 2802, 481, 93283, 279, 2115, 3562, 18509, 311, 279, 835, 198, 18, 8, 1463, 16, 15, 912, 1817, 3250, 594, 18509, 198, 19, 8, 1463, 16, 15, 32256, 1817, 3250, 594, 16588, 897, 504, 429, 3250, 594, 198, 60770, 198, 20, 8, 13153, 7354, 220, 17, 12, 19, 320, 266, 3245, 3055, 692, 2132, 374, 1602, 4937, 323, 1602, 4135, 11, 323, 702, 279, 8760, 916, 1101, 4936, 271, 983, 279, 1372, 481, 429, 432, 11367, 57330, 11, 264, 1602, 2989, 3343, 304, 198, 79937, 271, 7520, 8595, 279, 821, 304, 279, 24632, 3311, 3059, 304, 4344, 304, 279, 198, 306, 554, 31088, 3593, 10061, 752, 1473, 458, 3110, 1447, 2833, 311, 387, 24455, 25, 220, 19, 21, 23, 20, 16, 24, 22, 21, 19, 18, 198, 19773, 1376, 320, 9033, 498, 614, 3465, 16925, 1648, 220, 20, 17, 16, 21, 24, 19, 15, 23, 22, 21, 271, 16, 8, 6718, 1372, 1119, 220, 17, 6978, 198, 19, 21, 23, 20, 16, 198, 24, 22, 21, 19, 18, 271, 17, 8, 6407, 7482, 311, 279, 2115, 198, 21, 23, 20, 16, 19, 198, 21, 19, 18, 24, 22, 271, 18, 8, 1463, 16, 15, 912, 1817, 3250, 594, 18509, 198, 21, 23, 20, 16, 19, 198, 21, 19, 18, 24, 22, 198, 28665, 17, 17, 23, 15, 16, 320, 87966, 220, 16, 15, 5256, 315, 1817, 3250, 594, 18509, 692, 19, 8, 1463, 16, 15, 32256, 1817, 3250, 594, 16588, 897, 504, 429, 3250, 594, 198, 60770, 198, 19, 21, 22, 16, 18, 198, 19, 17, 20, 24, 21, 271, 10061, 752, 10339, 419, 3019, 13, 5512, 3250, 510, 21, 198, 21, 198, 7088, 17, 271, 437, 9044, 510, 19, 198, 19, 271, 27653, 25, 220, 21, 12, 17, 28, 19, 11, 220, 21, 12, 17, 28, 19, 271, 10061, 594, 1896, 279, 220, 18, 6498, 3250, 510, 20, 198, 18, 198, 7088, 23, 271, 16692, 20347, 510, 22, 198, 20, 271, 27653, 25, 220, 20, 12, 23, 284, 481, 18, 13, 1205, 16464, 614, 264, 8225, 1372, 11, 773, 582, 912, 220, 16, 15, 481, 323, 198, 275, 1221, 271, 16692, 20347, 220, 22, 13, 1597, 279, 1537, 15723, 25, 220, 18, 12, 23, 284, 481, 20, 13, 481, 20, 488, 220, 16, 15, 284, 220, 20, 271, 4416, 438, 498, 646, 1490, 432, 374, 5020, 4135, 382, 20, 8, 13153, 7354, 220, 17, 12, 19, 320, 266, 3245, 3055, 340, 19, 21, 22, 16, 18, 198, 19, 17, 20, 24, 21, 271, 1934, 13418, 291, 510, 21, 22, 16, 18, 19, 198, 20, 24, 21, 19, 17, 271, 21, 8, 1463, 16, 15, 912, 1817, 3250, 594, 18509, 198, 21, 22, 16, 18, 19, 198, 20, 24, 21, 19, 17, 198, 28665, 16, 21, 22, 22, 21, 271, 22, 8, 1463, 16, 15, 32256, 1817, 3250, 594, 16588, 897, 504, 429, 3250, 594, 198, 60770, 198, 20, 16, 19, 21, 23, 198, 19, 18, 24, 22, 21, 271, 20, 16, 19, 21, 23, 19, 18, 24, 22, 21, 320, 88192, 6758, 700, 340, 20, 17, 16, 21, 24, 19, 15, 23, 22, 21, 320, 792, 340, 771, 6913, 15, 18, 20, 17, 22, 23, 18, 22, 19, 17, 284, 31088, 320, 87966, 220, 16, 15, 5256, 315, 279, 1372, 323, 279, 1376, 692, 3036, 279, 25463, 374, 2814, 382, 1249, 38126, 11, 1101, 653, 4297, 304, 9931, 1447, 15, 18, 20, 17, 22, 23, 18, 22, 19, 17, 320, 67586, 340, 20, 17, 16, 21, 24, 19, 15, 23, 22, 21, 320, 792, 340, 771, 6913, 20, 16, 19, 21, 23, 19, 18, 24, 22, 21, 320, 87966, 220, 16, 15, 75240, 692, 20, 16, 19, 21, 23, 198, 19, 18, 24, 22, 21, 198, 70818, 1934, 220, 24, 19, 18, 18, 19, 1463, 16, 15, 32256, 291, 271, 21, 22, 16, 18, 19, 198, 20, 24, 21, 19, 17, 271, 1934, 650, 13418, 271, 19, 21, 22, 16, 18, 198, 19, 17, 20, 24, 21, 271, 1934, 13153, 1493, 7354, 3055, 803, 271, 19, 21, 22, 16, 18, 198, 19, 17, 20, 24, 21, 198, 70674, 1934, 220, 23, 23, 17, 15, 24, 1463, 16, 15, 32256, 291, 271, 21, 23, 20, 16, 19, 198, 21, 19, 18, 24, 22, 271, 1934, 650, 13418, 271, 19, 21, 23, 20, 16, 198, 24, 22, 21, 19, 18, 271, 1934, 7678, 268, 271, 19, 21, 23, 20, 16, 24, 22, 21, 19, 18, 271, 3036, 432, 594, 62961, 2219, 2679, 498, 646, 944, 38126, 432, 11, 498, 1865, 458, 1465, 14696, 320, 7650, 3537, 198, 83170, 6707, 11, 773, 271, 9330, 1265, 2677, 2987, 25, 1990, 2028, 279, 28117, 476, 1430, 311, 198, 73295, 432, 4292, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 91928, 52289, 271, 58022, 1663, 52289, 553, 29828, 5016, 263, 30102, 271, 1949, 35812, 13, 1084, 594, 3574, 198, 58022, 1663, 52289, 271, 565, 220, 17, 13, 22079, 25, 29828, 6801, 311, 728, 1490, 7055, 11, 714, 646, 1405, 1896, 1007, 975, 323, 1172, 614, 32882, 18, 22, 20, 315, 10514, 382, 14374, 220, 17, 13, 16, 13, 96378, 3487, 25, 29828, 3880, 311, 8253, 678, 279, 10468, 323, 3039, 429, 7055, 374, 5619, 1380, 1340, 1035, 537, 1184, 311, 1896, 1007, 975, 13, 29828, 3880, 311, 7071, 700, 279, 2783, 315, 11031, 14403, 11, 20830, 14403, 11, 323, 54613, 369, 678, 315, 1846, 3039, 323, 12713, 13, 2932, 686, 1184, 311, 912, 705, 678, 279, 7049, 323, 8253, 892, 10468, 1035, 387, 2878, 1059, 8039, 13, 5005, 11, 1340, 1035, 1281, 264, 5480, 315, 1380, 311, 1490, 7055, 504, 279, 2606, 1340, 1030, 2115, 2878, 1059, 8039, 382, 17, 13, 16, 13, 16, 13, 431, 37035, 25, 1096, 374, 458, 3110, 315, 279, 54480, 3019, 11, 65166, 13, 96378, 3487, 374, 14719, 1495, 264, 3491, 1119, 9155, 5479, 26087, 14444, 54480, 7274, 369, 49694, 9336, 308, 950, 6138, 9211, 279, 3491, 5230, 25597, 1380, 7055, 572, 5619, 389, 2849, 1340, 1410, 1490, 1105, 2041, 4633, 1007, 975, 11, 37614, 5248, 2155, 7049, 323, 1221, 7842, 705, 1846, 7049, 311, 8253, 279, 2790, 7049, 11, 1817, 949, 315, 279, 1882, 572, 18663, 311, 1281, 432, 8661, 311, 11625, 279, 4361, 3491, 315, 19211, 311, 728, 311, 279, 20830, 389, 264, 8039, 382, 17, 13, 16, 13, 17, 13, 18834, 47598, 12, 29828, 3412, 288, 279, 7216, 12713, 311, 1490, 1128, 2849, 323, 7482, 7055, 11088, 13, 2932, 46210, 429, 7055, 1172, 11088, 389, 75214, 320, 1782, 1172, 1899, 979, 1340, 1410, 1490, 1105, 2041, 4633, 1007, 975, 8, 419, 1042, 304, 10557, 11, 1532, 4261, 11, 323, 3731, 68031, 13, 2932, 12033, 44143, 24908, 311, 1493, 10468, 323, 26569, 429, 279, 2783, 369, 16307, 304, 389, 79423, 374, 32882, 16, 15, 15, 369, 2176, 3731, 68031, 323, 1532, 4261, 1393, 279, 2783, 369, 16307, 311, 10557, 374, 32882, 17, 22, 20, 13, 2932, 1083, 13719, 429, 16307, 304, 389, 75214, 374, 32882, 17, 15, 15, 369, 3731, 68031, 323, 32882, 16, 22, 20, 369, 2176, 10557, 323, 1532, 4261, 13, 9295, 11, 1340, 1969, 3412, 279, 7049, 315, 54613, 304, 1817, 315, 1846, 7482, 13, 576, 2783, 369, 54613, 304, 3731, 68031, 374, 32882, 22, 20, 264, 3729, 13, 576, 2783, 369, 54613, 369, 1532, 4261, 374, 32882, 16, 20, 15, 264, 3729, 13, 2619, 374, 902, 2783, 369, 54613, 304, 10557, 1576, 1340, 646, 4717, 448, 1059, 4238, 42360, 13, 9295, 11, 29828, 1969, 3412, 279, 7049, 315, 1817, 20830, 11727, 304, 862, 19511, 9720, 13, 2932, 51014, 429, 10557, 702, 279, 1429, 11392, 11727, 518, 32882, 16, 17, 20, 8110, 553, 32882, 22, 20, 369, 3731, 68031, 323, 32882, 21, 15, 369, 1532, 4261, 382, 17, 13, 16, 13, 17, 13, 16, 13, 431, 37035, 25, 1096, 374, 458, 3110, 315, 279, 1790, 3019, 11, 5383, 17843, 13, 758, 419, 3019, 11, 279, 54480, 97536, 1969, 1401, 518, 279, 821, 323, 1477, 12624, 26087, 14444, 54480, 7274, 369, 49694, 9336, 308, 950, 35334, 5692, 11, 29828, 702, 6966, 518, 678, 315, 279, 821, 2670, 7216, 36769, 11, 42924, 14403, 11, 323, 54613, 311, 8253, 279, 5383, 315, 15457, 2783, 2606, 438, 1632, 438, 2606, 429, 4946, 2878, 1059, 882, 21568, 382, 17, 13, 16, 13, 17, 13, 17, 13, 40325, 6982, 12, 29828, 1969, 3270, 1495, 323, 11047, 678, 315, 279, 3204, 27459, 315, 2783, 553, 7842, 705, 279, 2783, 369, 16307, 1119, 1532, 4261, 389, 6602, 323, 7728, 11, 279, 54613, 2783, 369, 19429, 2176, 825, 323, 1378, 21461, 11649, 389, 1128, 1899, 1340, 37104, 304, 11, 323, 279, 2783, 315, 279, 11727, 13, 2932, 1969, 1083, 912, 705, 279, 2783, 369, 16307, 311, 10557, 389, 2176, 6602, 323, 7728, 438, 1632, 438, 279, 2783, 315, 279, 11727, 11, 714, 1340, 1558, 537, 1184, 311, 912, 4113, 369, 54613, 2474, 1340, 1035, 4717, 448, 1059, 4238, 13, 29828, 1969, 912, 705, 279, 2783, 369, 16307, 311, 3731, 68031, 389, 2176, 6602, 323, 7728, 11, 279, 2783, 315, 54613, 369, 19429, 2176, 825, 323, 1378, 21461, 11, 438, 1632, 438, 279, 2783, 369, 279, 20830, 11727, 13, 2932, 46210, 429, 432, 1035, 387, 2878, 1059, 8039, 311, 1490, 7055, 518, 3731, 68031, 421, 1340, 11466, 82, 304, 389, 2987, 6602, 476, 7728, 476, 10557, 421, 1340, 11466, 82, 304, 389, 7728, 13, 2932, 27627, 311, 3695, 264, 11727, 311, 1490, 7055, 389, 7728, 304, 10557, 11, 6467, 1059, 7728, 11031, 11727, 11, 323, 702, 264, 20671, 2219, 17, 13, 16, 13, 17, 13, 17, 13, 16, 13, 431, 37035, 25, 758, 419, 3019, 315, 54480, 7274, 11, 12111, 2884, 11, 279, 97536, 1969, 2525, 705, 448, 264, 3019, 553, 3019, 1882, 429, 686, 11625, 419, 3491, 323, 3800, 1075, 432, 26087, 14444, 54480, 7274, 369, 49694, 9336, 308, 950, 35334, 9211, 29828, 4362, 311, 8253, 279, 2790, 2783, 315, 1817, 8411, 11, 1340, 6509, 1817, 2155, 15048, 320, 34620, 1532, 4261, 11, 6602, 3731, 68031, 11, 6602, 10557, 11, 7728, 1532, 4261, 11, 7728, 3731, 68031, 11, 7728, 10557, 701, 16588, 279, 7049, 11, 323, 7707, 279, 7049, 311, 1059, 8039, 315, 32882, 18, 22, 20, 311, 8253, 279, 3204, 2606, 13, 5542, 1059, 3204, 2606, 11, 1340, 3643, 264, 5480, 389, 892, 1473, 311, 9417, 13, 1096, 374, 458, 3110, 315, 54480, 7274, 1576, 315, 279, 7354, 429, 614, 1101, 1012, 7481, 13, 4220, 1852, 7354, 1410, 1083, 387, 1483, 311, 7071, 700, 23218, 3853, 46579, 323, 1410, 8450, 387, 9251, 311, 4428, 5322, 382, 17, 13, 16, 13, 17, 13, 17, 13, 17, 13, 3680, 42602, 12, 29828, 27627, 429, 1008, 20830, 2087, 32118, 1035, 8760, 504, 1660, 2952, 311, 81603, 419, 1882, 1667, 5440, 13, 2932, 27627, 1340, 1410, 1855, 458, 906, 1667, 1059, 4238, 70409, 748, 6366, 8038, 7361, 429, 9463, 1136, 2471, 279, 7602, 369, 20830, 14403, 369, 264, 3151, 7055, 11, 323, 32411, 432, 448, 279, 2783, 315, 11031, 14403, 323, 27278, 678, 304, 825, 1992, 0, 576, 1196, 4936, 11127, 862, 8039, 438, 1632, 438, 279, 13511, 807, 525, 8014, 304, 9120, 13, 2379, 646, 1083, 1946, 862, 43016, 82, 476, 7482, 1380, 807, 1035, 537, 1184, 54613, 13, 576, 906, 6157, 26475, 3204, 27459, 429, 1035, 2138, 279, 1196, 311, 1490, 279, 10049, 2878, 862, 8039, 13, 2932, 9044, 9080, 1007, 315, 279, 2393, 315, 1059, 906, 323, 1340, 2581, 702, 311, 10955, 911, 537, 1660, 2952, 311, 8329, 3220, 389, 9120, 46579, 3512, 1549, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1916, 25, 35892, 11, 220, 19, 11782, 220, 16, 24, 24, 23, 220, 16, 16, 25, 16, 23, 25, 17, 16, 481, 15, 22, 15, 15, 52767, 9160, 594, 41758, 7506, 25, 48696, 42982, 13, 61434, 19728, 5161, 48696, 323, 13923, 686, 2581, 1281, 438, 1753, 3220, 438, 2562, 19680, 13, 4695, 582, 614, 264, 35972, 11064, 429, 14758, 3170, 419, 374, 830, 25, 3877, 6334, 220, 16, 25, 31925, 374, 7420, 13, 3877, 6334, 220, 17, 25, 4120, 374, 17633, 13, 1634, 1449, 23576, 8788, 11, 5547, 43789, 284, 7420, 4120, 8704, 31925, 284, 7420, 11, 323, 4120, 284, 17633, 11, 582, 614, 25, 5547, 43789, 284, 31925, 17633, 11473, 4405, 369, 17633, 11, 582, 633, 25, 5547, 43789, 284, 17633, 31925, 14301, 11, 438, 31925, 19827, 7168, 11, 17633, 19827, 54910, 15484, 315, 279, 3311, 315, 5547, 2814, 13, 73877, 25, 576, 9668, 498, 14187, 11, 279, 4398, 498, 7405, 13, 7036, 25, 1084, 702, 1012, 73777, 429, 279, 2874, 3170, 8596, 35493, 12226, 700, 315, 24951, 594, 6888, 2025, 572, 1576, 566, 49057, 5193, 419, 11064, 438, 458, 40434, 11, 323, 12235, 279, 2732, 315, 806, 6931, 311, 279, 32336, 315, 40560, 13, 508, 16, 24, 24, 22, 1169, 360, 13, 18, 15, 60, 4636, 18950, 1045, 4285, 46876, 311, 1045, 489, 632, 31747, 323, 62592, 288, 264, 501, 8660, 646, 387, 8643, 315, 279, 6234, 311, 11939, 323, 2393, 13, 861, 861, 5692, 432, 5780, 13, 861, 31925, 374, 7420, 861, 4120, 374, 17633, 323, 438, 1449, 23576, 8788, 11, 7420, 374, 5547, 916, 4120, 13, 861, 861, 2055, 11, 31334, 10607, 46876, 292, 37906, 369, 1493, 882, 23704, 9472, 315, 861, 23389, 11, 582, 633, 25, 861, 861, 730, 284, 393, 320, 16, 8, 861, 350, 284, 386, 320, 17, 8, 861, 393, 284, 467, 16731, 320, 18, 8, 861, 861, 4695, 11, 653, 264, 2421, 4285, 93650, 25, 861, 861, 10224, 467, 16731, 304, 369, 393, 304, 23606, 320, 16, 701, 892, 35408, 25, 861, 730, 284, 467, 16731, 320, 19, 8, 861, 861, 10224, 386, 304, 369, 350, 1119, 23606, 320, 19, 701, 892, 35408, 25, 861, 861, 730, 284, 467, 10270, 320, 20, 8, 861, 4695, 582, 3003, 2684, 2494, 13, 7787, 25591, 1182, 1119, 6364, 11, 582, 633, 25, 861, 861, 31925, 16819, 5547, 916, 17633, 13, 861, 861, 3555, 419, 16292, 11692, 374, 429, 25, 861, 861, 220, 16, 13, 576, 4398, 1446, 14187, 11, 279, 4398, 5547, 1446, 3155, 11, 323, 861, 220, 17, 13, 576, 4398, 1446, 14187, 11, 279, 9668, 17633, 1446, 7405, 13, 861, 861, 11473, 4405, 369, 17633, 11, 582, 633, 25, 861, 861, 386, 284, 467, 32854, 320, 21, 8, 861, 861, 17633, 16819, 5547, 6065, 31925, 13, 861, 861, 5542, 23606, 320, 21, 8, 582, 1490, 429, 17633, 19827, 54910, 438, 31925, 19827, 220, 15, 11, 15484, 315, 279, 5547, 2814, 13, 861, 861, 3555, 10039, 16292, 11692, 374, 25, 861, 861, 576, 4398, 498, 7405, 11, 279, 9668, 498, 14187, 13, 861, 861, 11473, 4405, 369, 5547, 11, 582, 633, 861, 861, 467, 284, 386, 730, 320, 22, 8, 861, 861, 5547, 16819, 17633, 3039, 31925, 861, 861, 5542, 23606, 320, 22, 8, 582, 1490, 429, 5547, 19827, 220, 15, 438, 31925, 861, 19827, 220, 15, 13, 861, 861, 3555, 10039, 16292, 11692, 374, 25, 861, 576, 18253, 9080, 653, 2632, 476, 902, 975, 13, 861, 861, 22150, 700, 279, 79331, 24154, 315, 419, 41345, 374, 861, 2115, 438, 458, 10158, 369, 279, 6604, 861, 861, 861, 3513, 85894, 861, 11232, 975, 702, 264, 3853, 84265, 13, 97803, 1880, 21241, 1007, 1431, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5890, 264, 1372, 198, 16, 20, 22, 21, 16, 374, 264, 10250, 1372, 198, 3978, 55903, 198, 6863, 16, 16, 16, 16, 15, 16, 16, 15, 15, 16, 15, 15, 15, 16, 198, 18, 17, 16, 15, 16, 17, 16, 17, 15, 17, 198, 19, 18, 18, 16, 17, 16, 15, 16, 198, 20, 16, 15, 15, 16, 15, 17, 16, 198, 21, 17, 15, 15, 20, 19, 20, 198, 22, 21, 18, 21, 19, 19, 198, 41692, 18, 21, 21, 17, 16, 198, 24, 17, 18, 20, 20, 17, 198, 16, 15, 16, 20, 22, 21, 16, 198, 16, 16, 16, 15, 24, 17, 24, 198, 16, 17, 24, 16, 20, 20, 198, 16, 18, 22, 17, 18, 20, 198, 16, 19, 20, 64, 20, 65, 198, 16, 20, 19, 64, 15, 65, 198, 17308, 18, 67, 24, 16, 271, 16, 20, 22, 21, 16, 702, 220, 17, 3429, 41214, 11, 6693, 2629, 374, 47723, 284, 220, 16, 20, 22, 21, 17, 13, 11445, 2401, 1167, 374, 97875, 284, 220, 16, 20, 22, 21, 15, 382, 785, 3681, 10250, 374, 220, 16, 20, 22, 19, 24, 13, 576, 1790, 10250, 374, 220, 16, 20, 22, 21, 22, 13, 576, 58114, 315, 220, 16, 20, 22, 21, 16, 374, 220, 16, 21, 22, 20, 16, 382, 3136, 2144, 287, 504, 220, 16, 20, 22, 21, 16, 1181, 1985, 315, 18509, 320, 17, 16, 15, 701, 582, 6851, 264, 73097, 320, 16, 20, 20, 20, 16, 3593, 3136, 2144, 287, 220, 16, 20, 22, 21, 16, 504, 1181, 9931, 320, 16, 21, 22, 20, 16, 701, 582, 6851, 264, 65494, 1372, 320, 24, 24, 15, 284, 350, 19, 19, 3593, 2132, 374, 264, 3746, 10250, 382, 2132, 646, 387, 5326, 438, 264, 2629, 315, 6785, 31340, 304, 1172, 825, 1616, 11, 600, 1734, 2572, 220, 16, 19, 16, 21, 16, 488, 220, 16, 21, 15, 15, 284, 220, 16, 16, 24, 61, 17, 488, 220, 19, 15, 61, 17, 6762, 2132, 374, 264, 76002, 1372, 382, 2132, 374, 537, 264, 409, 3651, 622, 580, 1372, 11, 1576, 220, 16, 20, 22, 21, 16, 481, 220, 17, 16, 15, 284, 220, 16, 19, 22, 18, 22, 374, 264, 10250, 382, 2132, 374, 264, 24495, 10250, 382, 2132, 374, 6144, 311, 281, 16, 23, 18, 23, 323, 2474, 220, 16, 20, 22, 21, 16, 323, 220, 16, 23, 18, 23, 614, 279, 1852, 2629, 315, 18509, 11, 432, 374, 264, 16549, 4407, 10250, 382, 2132, 374, 264, 30169, 11680, 1372, 382, 2132, 374, 537, 264, 7469, 398, 10250, 11, 1576, 432, 646, 387, 5497, 1119, 2441, 10250, 320, 16, 20, 22, 21, 22, 8, 553, 10018, 264, 15723, 382, 2132, 374, 264, 47787, 1372, 11, 2474, 432, 646, 387, 5326, 438, 264, 2629, 315, 23921, 14478, 1127, 11, 31025, 11, 220, 22, 23, 23, 15, 488, 220, 22, 23, 23, 16, 382, 2132, 374, 458, 34784, 1372, 11, 1576, 279, 3076, 315, 1181, 3429, 41214, 374, 458, 7546, 1372, 320, 22, 23, 23, 16, 3593, 17, 16, 20, 22, 21, 16, 374, 458, 1443, 68648, 1372, 382, 2132, 374, 458, 1079, 12552, 1372, 382, 16, 20, 22, 21, 16, 374, 264, 86444, 1372, 11, 2474, 432, 374, 8131, 1091, 279, 2629, 315, 1181, 6169, 3429, 41214, 320, 16, 3593, 16, 20, 22, 21, 16, 374, 458, 3232, 307, 10233, 1372, 11, 2474, 432, 5711, 438, 1753, 438, 18509, 438, 1181, 8168, 2022, 382, 16, 20, 22, 21, 16, 374, 458, 13962, 1372, 11, 1576, 279, 2629, 315, 1181, 7868, 18509, 374, 1496, 382, 785, 1985, 315, 1181, 18509, 374, 220, 17, 16, 15, 11, 1393, 279, 2629, 374, 220, 17, 15, 382, 785, 9334, 3704, 315, 220, 16, 20, 22, 21, 16, 374, 911, 220, 16, 17, 20, 13, 20, 19, 17, 23, 17, 16, 18, 22, 24, 23, 13, 576, 40899, 3704, 315, 220, 16, 20, 22, 21, 16, 374, 911, 220, 17, 20, 13, 15, 22, 17, 18, 17, 18, 24, 15, 16, 22, 382, 785, 42429, 315, 220, 16, 20, 22, 21, 16, 304, 4244, 374, 330, 69, 333, 14901, 16183, 11, 8094, 7739, 52374, 18589, 3263 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 28338, 311, 2573, 30435, 271, 14374, 64718, 311, 387, 89396, 271, 6667, 738, 198, 6667, 738, 15871, 12448, 330, 9779, 644, 311, 1837, 14374, 35862, 271, 785, 7286, 315, 738, 374, 15811, 311, 37596, 323, 6366, 8038, 13, 20094, 35972, 8471, 448, 7289, 13, 1752, 3110, 11, 11871, 1948, 1378, 6171, 525, 15251, 438, 264, 738, 315, 11457, 13530, 315, 6171, 11, 279, 7286, 315, 11457, 6716, 374, 4512, 1667, 7289, 11, 5810, 5109, 11, 892, 525, 279, 8037, 315, 1008, 5109, 11, 525, 1083, 4512, 1667, 7289, 11, 279, 7286, 315, 729, 11, 1660, 264, 3281, 943, 315, 12687, 11, 374, 3118, 389, 7289, 11, 323, 38999, 323, 4078, 1935, 82, 30606, 315, 5128, 323, 3501, 525, 7481, 438, 458, 11457, 6716, 315, 7289, 382, 26733, 279, 7286, 315, 738, 374, 15811, 311, 37596, 11, 432, 374, 537, 4512, 77377, 7017, 1588, 13, 12090, 582, 17188, 389, 5019, 594, 22240, 315, 330, 746, 1, 438, 264, 4426, 315, 6171, 476, 264, 5476, 315, 6171, 13, 758, 429, 5530, 330, 746, 1, 374, 458, 5614, 7286, 1588, 13, 34239, 582, 1977, 458, 1633, 330, 80897, 311, 330, 476, 330, 285, 264, 4462, 315, 1, 264, 738, 2041, 77377, 7017, 26312, 1128, 432, 3363, 13, 330, 2082, 1633, 11488, 8, 856, 17180, 311, 264, 738, 362, 1, 220, 4102, 285, 7735, 2673, 15251, 553, 4102, 330, 87, 362, 1, 659, 1084, 374, 1083, 19110, 429, 7289, 614, 3654, 320, 674, 2469, 8, 5888, 5990, 438, 778, 2119, 657, 448, 264, 4426, 315, 6171, 1741, 438, 279, 11300, 315, 7289, 6724, 11, 369, 894, 6716, 315, 7289, 1052, 374, 264, 738, 429, 5610, 1105, 4992, 382, 1986, 5486, 311, 738, 10126, 374, 2598, 330, 3376, 533, 738, 10126, 330, 438, 16087, 311, 803, 46899, 330, 706, 72, 13487, 738, 10126, 3263, 4102, 1084, 572, 1156, 7881, 553, 279, 5938, 20976, 1103, 13326, 41831, 269, 518, 279, 835, 315, 279, 220, 16, 24, 339, 9294, 13, 1752, 803, 389, 49665, 323, 3859, 72, 13487, 738, 24970, 4205, 1588, 892, 374, 537, 2567, 369, 419, 3308, 13, 17594, 279, 49665, 738, 10126, 374, 537, 46899, 11, 432, 374, 34288, 323, 31267, 678, 279, 3059, 582, 1184, 646, 387, 14257, 2878, 279, 49665, 738, 10126, 13, 14301, 582, 4880, 387, 2701, 419, 49665, 738, 10126, 304, 419, 3308, 382, 5847, 1177, 78046, 315, 2573, 271, 3707, 311, 23512 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 53133, 55471, 12069, 358, 479, 6537, 73763, 687, 18537, 5177, 17085, 8211, 748, 66736, 14028, 30778, 39709, 323, 56658, 438, 949, 315, 1181, 15786, 59774, 576, 462, 271, 14582, 271, 80563, 55471, 12069, 358, 479, 6537, 73763, 687, 18537, 5177, 17085, 198, 17245, 748, 66736, 14028, 30778, 39709, 323, 56658, 438, 949, 315, 1181, 15786, 59774, 271, 785, 11372, 389, 1449, 27874, 374, 32882, 17, 323, 198, 785, 11372, 389, 1449, 15061, 374, 32882, 18, 382, 17245, 1865, 264, 11372, 315, 32882, 16, 11, 19, 22, 15, 504, 15786, 59774, 1537, 2254, 13, 576, 23606, 220, 17, 87, 488, 220, 18, 88, 284, 220, 16, 11, 19, 22, 15, 10868, 8211, 748, 21856, 1537, 2254, 11, 1380, 856, 374, 279, 1372, 315, 27874, 15786, 59774, 6088, 323, 379, 374, 279, 1372, 315, 15061, 15786, 59774, 6088, 382, 16, 13, 10388, 279, 23606, 1119, 30232, 44894, 1484, 1352, 13, 64547, 279, 30232, 323, 379, 44894, 1484, 315, 279, 23606, 13, 2823, 2704, 311, 1473, 678, 315, 697, 975, 3685, 1447, 15, 271, 565, 37243, 320, 2308, 5125, 16, 13, 220, 17, 87, 10, 18, 88, 284, 16, 19, 22, 15, 271, 96512, 28639, 1352, 271, 88, 28, 18085, 35093, 271, 17, 87, 10, 18, 88, 284, 16, 19, 22, 15, 271, 59442, 220, 17, 87, 504, 1817, 3108, 271, 18, 88, 284, 481, 17, 87, 10, 16, 19, 22, 15, 271, 59394, 553, 220, 18, 271, 88, 284, 481, 17, 14, 18, 856, 488, 16, 19, 22, 15, 14, 18, 271, 88, 284, 481, 17, 14, 18, 87, 488, 19, 24, 15, 271, 96512, 284, 481, 17, 14, 18, 271, 88, 28639, 284, 220, 19, 24, 15 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 80018, 22079, 220, 21, 15, 271, 785, 49433, 220, 18, 11, 220, 22, 11, 220, 16, 15, 24, 11, 323, 220, 21, 22, 18, 11, 525, 5008, 22804, 13, 3216, 4633, 894, 1378, 49433, 323, 39972, 1095, 1105, 304, 894, 1973, 279, 1102, 686, 2677, 387, 10250, 13, 1752, 3110, 11, 4633, 220, 22, 323, 220, 16, 15, 24, 11, 2176, 220, 22, 16, 15, 24, 323, 220, 16, 15, 24, 22, 525, 10250, 13, 576, 2629, 315, 1493, 3040, 49433, 11, 220, 22, 24, 17, 11, 10868, 279, 15457, 2629, 369, 264, 738, 315, 3040, 49433, 448, 419, 3343, 382, 9885, 279, 15457, 2629, 369, 264, 738, 315, 4236, 49433, 369, 892, 894, 1378, 49433, 77784, 311, 8193, 2441, 10250, 382, 13874, 13874, 13874, 271, 641, 4102, 58, 17, 68562, 1499, 882, 1159, 882, 198, 2468, 284, 882, 2822, 1499, 21459, 88, 1159, 26811, 844, 11, 374, 32338, 271, 649, 1733, 284, 1140, 24974, 3134, 844, 7, 17, 11, 220, 20, 15, 15, 15, 15, 1171, 45, 284, 2422, 24974, 1733, 340, 1065, 1242, 284, 220, 16, 68, 16, 15, 15, 271, 750, 33720, 1295, 11, 2804, 982, 689, 526, 955, 24126, 79, 15170, 80, 74384, 750, 6821, 1295, 11, 2804, 982, 333, 320, 79, 35180, 8, 304, 468, 510, 689, 468, 11407, 35180, 2533, 564, 8303, 284, 508, 40056, 220, 15, 27771, 1958, 281, 304, 49433, 510, 36, 284, 5613, 333, 281, 2604, 1308, 1242, 510, 8960, 198, 931, 6794, 8303, 284, 4167, 1958, 80379, 11, 4680, 304, 21348, 13968, 510, 333, 678, 39789, 1295, 35180, 8, 369, 2804, 304, 80379, 982, 931, 6794, 2372, 284, 80379, 488, 508, 79, 921, 333, 2422, 1755, 6794, 2372, 8, 621, 220, 20, 510, 1065, 1242, 284, 1308, 14146, 1242, 11, 4680, 488, 281, 340, 931, 6794, 8303, 2057, 1188, 931, 6794, 2372, 11, 4680, 488, 281, 1171, 564, 8303, 15831, 1755, 6794, 8303, 692, 1350, 14146, 1242, 340, 1350, 445, 1462, 25, 18524, 17, 69, 6486, 1, 220, 1018, 320, 1678, 368, 481, 1191, 4390, 13874, 73594, 3989, 13874, 13874, 13874, 271, 17, 21, 15, 18, 18, 198, 1462, 25, 220, 17, 24, 18, 13, 19, 18, 6486, 271, 13874, 73594, 3989, 13874, 13874, 13874, 271, 641, 4102, 58, 4102, 68562, 13874, 13874, 13874 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 25300, 594, 8105, 18068, 198, 7623, 608, 31359, 355, 358, 608, 10294, 608, 1163, 343, 11702, 804, 448, 31359, 2973, 11, 3660, 7946, 198, 7812, 13411, 24742, 6928, 2009, 18068, 4102, 21692, 2009, 18068, 198, 18370, 24742, 198, 2610, 4994, 311, 387, 389, 264, 3671, 448, 264, 330, 77, 6044, 1, 4171, 2374, 320, 72, 1734, 13, 498, 525, 4658, 389, 264, 6371, 4540, 568, 23662, 311, 279, 6993, 315, 279, 37596, 389, 419, 2747, 432, 374, 1850, 6194, 304, 18414, 3856, 13, 1416, 697, 3671, 374, 537, 304, 18414, 3856, 1657, 315, 279, 37906, 686, 1598, 1007, 279, 3108, 315, 697, 3671, 320, 5445, 387, 2952, 311, 9059, 311, 1490, 1105, 8, 323, 1045, 315, 279, 5022, 3589, 686, 387, 3931, 1007, 4152, 311, 279, 15026, 4171, 2374, 382, 14374, 11113, 220, 16, 13, 21, 549, 11473, 4405, 1163, 343, 11702, 804, 448, 31359, 2973, 11, 3660, 7946, 271, 22, 13, 7379, 678, 279, 9904, 311, 26107, 19, 35702, 66, 2388, 6306, 17, 11035, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 488, 220, 21, 284, 220, 17, 20, 59, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 15087, 12947, 5443, 518, 3245, 220, 19, 12122, 7482, 304, 697, 975, 382, 7812, 2009, 39861, 4102, 21692, 2009, 39861, 271, 26987, 549, 37729, 279, 23606, 323, 1667, 6770, 46876, 292, 5888, 633, 1378, 37906, 429, 646, 387, 25934, 448, 1667, 3881, 12538, 13, 1416, 498, 3129, 537, 2704, 1246, 311, 8168, 419, 1744, 911, 1246, 498, 1035, 8168, 26107, 19, 45340, 61, 17, 92, 481, 220, 17, 20, 87, 488, 220, 21, 284, 220, 15, 14085, 624, 3479, 12478, 271, 1986, 23606, 1231, 1401, 1602, 2155, 504, 4113, 429, 582, 3982, 3512, 1012, 4588, 311, 8168, 11, 4764, 432, 374, 2494, 429, 582, 646, 8168, 13, 5512, 1744, 911, 2097, 5503, 279, 2701, 3554, 3, 19, 45340, 61, 17, 92, 488, 220, 21, 284, 220, 17, 20, 87, 59, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 11, 1124, 983, 1124, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 11, 19, 45340, 61, 17, 92, 481, 220, 17, 20, 87, 488, 220, 21, 284, 1124, 2359, 7, 314, 19, 87, 481, 220, 16, 92, 1124, 1291, 10699, 2359, 7, 314, 87, 481, 220, 21, 92, 1124, 1291, 8, 284, 220, 15, 66426, 2679, 582, 646, 8168, 419, 46876, 292, 23606, 1221, 582, 646, 8168, 279, 2661, 23606, 304, 6896, 279, 1852, 11566, 382, 59, 7265, 90, 6612, 9, 92, 19, 35702, 66, 2388, 6306, 17, 11035, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 488, 220, 21, 609, 284, 220, 17, 20, 59, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 3422, 220, 19, 35702, 66, 2388, 6306, 17, 11035, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 481, 220, 17, 20, 59, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 488, 220, 21, 609, 284, 220, 15, 3422, 1124, 2359, 7, 314, 19, 59, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 481, 220, 16, 92, 1124, 1291, 10699, 2359, 7, 28152, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 481, 220, 21, 92, 1124, 1291, 8, 609, 284, 220, 15, 59, 408, 90, 6612, 9, 630, 7039, 11, 582, 614, 264, 1985, 315, 1378, 9363, 429, 16819, 7168, 323, 773, 553, 6770, 46876, 292, 5888, 582, 1414, 429, 582, 1969, 614, 3554, 3, 19, 59, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 481, 220, 16, 284, 220, 15, 59, 4997, 1306, 90, 15, 13, 17, 20, 258, 15170, 59, 8719, 90, 868, 3417, 59, 4997, 1306, 90, 15, 13, 17, 20, 258, 11035, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 481, 220, 21, 284, 220, 15, 25046, 26987, 549, 63284, 1817, 315, 1493, 1378, 37906, 311, 35761, 678, 279, 9904, 311, 279, 4024, 23606, 624, 7812, 14822, 220, 17, 271, 4854, 315, 1493, 37906, 525, 4428, 311, 37906, 27956, 304, 279, 3681, 3772, 323, 6788, 304, 419, 3772, 13, 15277, 11, 582, 686, 387, 25538, 429, 498, 646, 19091, 279, 6291, 1882, 369, 1817, 323, 582, 686, 537, 387, 10687, 304, 438, 1657, 3565, 13, 1416, 498, 525, 42903, 315, 279, 1882, 498, 1265, 728, 1182, 311, 279, 3681, 3772, 323, 975, 1045, 315, 279, 5322, 1052, 1573, 38447, 448, 279, 6291, 311, 419, 3491, 382, 1654, 4700, 1191, 448, 279, 1156, 23606, 11, 42123, 279, 85013, 65263, 323, 5508, 311, 458, 23606, 304, 3793, 315, 57668, 369, 8661, 21828, 13, 43145, 419, 6696, 3554, 58736, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 284, 1124, 37018, 90, 16, 15170, 19, 11035, 4997, 1306, 90, 15, 13, 17, 20, 258, 11035, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 1124, 983, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 11035, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 15940, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 284, 220, 19, 861, 220, 16, 66426, 1654, 1431, 1414, 429, 1052, 525, 1431, 9904, 311, 279, 1156, 23606, 1576, 582, 1414, 26107, 12, 220, 16, 1124, 273, 1124, 15940, 1124, 15976, 1124, 273, 220, 16, 14085, 382, 7039, 11, 1077, 748, 11625, 279, 2086, 23606, 382, 58736, 66, 2388, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 284, 220, 21, 59, 4997, 1306, 90, 15, 13, 17, 20, 258, 11035, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 1124, 983, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 11035, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 26266, 15940, 1124, 2359, 7, 314, 16, 481, 259, 92, 1124, 1291, 8, 284, 1124, 37018, 90, 16, 15170, 21, 31716, 271, 16429, 1039, 29952, 582, 633, 3554, 3, 16, 481, 259, 284, 28152, 15940, 6306, 90, 481, 220, 16, 3417, 59, 2359, 7, 28152, 37018, 90, 16, 15170, 21, 3417, 1124, 1291, 8, 284, 220, 15, 13, 16, 21, 22, 19, 66426, 32, 3974, 33422, 518, 264, 4982, 12671, 4933, 601, 429, 279, 2086, 9210, 304, 279, 2088, 26107, 59, 2359, 58, 314, 15, 11, 17, 59, 2493, 335, 1124, 1291, 60, 14085, 374, 26107, 59, 2493, 481, 220, 15, 13, 16, 21, 22, 19, 284, 220, 17, 13, 24, 22, 19, 17, 14085, 382, 2403, 279, 9904, 311, 279, 2086, 23606, 525, 1221, 3554, 59, 7265, 90, 6612, 9, 92, 16, 481, 259, 609, 284, 220, 15, 13, 16, 21, 22, 19, 488, 220, 17, 59, 2493, 308, 609, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 15170, 59, 8719, 90, 868, 3417, 59, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 16, 481, 259, 609, 284, 220, 17, 13, 24, 22, 19, 17, 488, 220, 17, 59, 2493, 308, 609, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 308, 284, 220, 15, 11, 1124, 5187, 220, 16, 11, 1124, 5187, 220, 17, 11, 1124, 507, 2412, 24984, 83, 609, 284, 220, 15, 13, 23, 18, 17, 21, 481, 220, 17, 59, 2493, 308, 609, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 15170, 59, 8719, 90, 868, 3417, 59, 4997, 1306, 90, 15, 13, 20, 20, 258, 92, 83, 609, 284, 481, 220, 16, 13, 24, 22, 19, 17, 481, 220, 17, 59, 2493, 308, 609, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 308, 284, 220, 15, 11, 1124, 5187, 220, 16, 11, 1124, 5187, 220, 17, 11, 1124, 507, 2412, 1124, 408, 90, 6612, 9, 630, 17949, 582, 1030, 537, 9904, 311, 279, 1156, 23606, 678, 279, 9904, 311, 279, 4024, 23606, 525, 1221, 3554, 58736, 4310, 90, 58456, 92, 1124, 58456, 58, 17, 417, 8402, 1358, 25, 16, 1767, 6437, 3691, 60, 2979, 83, 284, 220, 15, 13, 23, 18, 17, 21, 481, 220, 17, 59, 2493, 308, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 28152, 8719, 90, 868, 3417, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 259, 284, 481, 220, 16, 13, 24, 22, 19, 17, 481, 220, 17, 59, 2493, 308, 1124, 4997, 1306, 90, 15, 13, 17, 20, 258, 92, 308, 284, 220, 15, 11, 1124, 5187, 220, 16, 11, 1124, 5187, 220, 17, 11, 1124, 507, 2412, 3869, 66426, 5404, 633, 2238, 12035, 911, 279, 2097, 429, 582, 1172, 2684, 9904, 504, 825, 315, 279, 1378, 37906, 582, 2684, 1283, 2097, 5503, 13, 1096, 686, 3537, 389, 13101, 323, 773, 582, 1184, 311, 387, 5527, 369, 1493, 5048, 979, 807, 3537, 382, 2679, 458, 9873, 1030, 1012, 2661, 582, 1035, 1790, 10354, 448, 625, 35268, 304, 2750, 315, 26107, 77, 14085, 311, 8253, 892, 9904, 4399, 304, 429, 9873, 13, 8704, 582, 1033, 537, 2661, 458, 9873, 419, 374, 438, 3041, 438, 582, 646, 728, 382, 9112, 429, 11649, 5193, 279, 3311, 315, 58328, 498, 1483, 1588, 697, 11253, 1231, 13289, 10078, 504, 1493, 4152, 311, 4778, 1007, 1465, 13, 5765, 11799, 1265, 387, 8112, 323, 1172, 4994, 2163, 279, 220, 19, 339, 12122, 1992, 476, 773, 4764, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6667, 3714, 220, 16, 22, 339, 220, 17, 15, 16, 17, 11, 220, 15, 19, 25, 17, 23, 5851, 198, 49318, 5600, 2554, 15, 24, 198, 81035, 504, 220, 16, 311, 4132, 72, 13489, 315, 29390, 856, 608, 320, 87, 61, 17, 8, 16819, 220, 16, 13, 2585, 25984, 320, 1791, 9117, 9654, 1964, 68003, 3495, 340, 40, 18250, 279, 729, 311, 3635, 271, 2261, 856, 608, 320, 87, 61, 17, 692, 84, 284, 326, 23357, 198, 1054, 284, 220, 16, 10776, 198, 37261, 284, 220, 16, 10776, 61, 17, 198, 85, 284, 481, 16, 10776, 271, 22246, 481, 526, 647, 21547, 271, 2261, 87, 353, 481, 16, 10776, 481, 481, 526, 315, 220, 16, 10776, 61, 17, 9044, 481, 16, 10776, 271, 704, 271, 12, 326, 23357, 10776, 481, 326, 23357, 320, 269, 3265, 311, 419, 692, 6667, 3714, 220, 16, 22, 339, 220, 17, 15, 16, 17, 11, 220, 15, 19, 25, 20, 23, 5851, 198, 2120, 4330, 198, 693, 25, 25098, 504, 220, 16, 311, 4132, 72, 13489, 315, 29390, 856, 608, 320, 87, 61, 17, 8, 16819, 220, 16, 13, 2585, 25984, 320, 1791, 9117, 9654, 1964, 68003, 54838, 198, 19466, 1447, 37263, 15275, 553, 49950, 5600, 2554, 15, 24, 198, 40, 18250, 279, 729, 311, 3635, 271, 2261, 856, 608, 320, 87, 61, 17, 692, 84, 284, 326, 23357, 198, 1054, 284, 220, 16, 10776, 198, 37261, 284, 220, 16, 10776, 61, 17, 198, 85, 284, 481, 16, 10776, 271, 22246, 481, 526, 647, 21547, 271, 2261, 87, 353, 481, 16, 10776, 481, 481, 526, 315, 220, 16, 10776, 61, 17, 9044, 481, 16, 10776, 271, 704, 271, 12, 326, 23357, 10776, 481, 326, 23357, 320, 269, 3265, 311, 419, 692, 10380, 518, 419, 44610, 624, 6667, 3714, 220, 16, 22, 339, 220, 17, 15, 16, 17, 11, 220, 15, 20, 25, 15, 23, 5851, 198, 82, 440, 1404, 198, 58736, 5493, 3528, 1124, 396, 62, 16, 24884, 258, 36958, 1124, 37018, 35702, 2261, 45340, 3417, 90, 87, 61, 17, 92, 1124, 11, 13822, 66426, 58736, 5493, 3528, 575, 284, 1124, 2261, 45340, 31716, 2503, 57960, 5493, 3528, 3845, 284, 1124, 37018, 90, 16, 15170, 87, 92, 1124, 11, 13822, 66426, 58736, 5493, 3528, 32776, 284, 1124, 37018, 90, 16, 15170, 87, 61, 17, 92, 13822, 3, 2503, 57960, 5493, 3528, 348, 284, 481, 59, 37018, 90, 16, 15170, 87, 31716, 271, 58736, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 396, 62, 16, 61, 65, 1124, 37018, 35702, 2261, 45340, 3417, 90, 87, 61, 17, 92, 1124, 11, 13822, 284, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 2359, 7609, 59, 37018, 35702, 2261, 45340, 3417, 90, 87, 11035, 1291, 60, 62, 16, 61, 65, 481, 1124, 396, 62, 16, 61, 65, 481, 59, 37018, 90, 16, 15170, 87, 61, 17, 92, 1124, 11, 13822, 66426, 58736, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 2359, 7609, 59, 37018, 35702, 2261, 45340, 3417, 90, 87, 11035, 1291, 60, 62, 16, 61, 65, 481, 1124, 2359, 26056, 37018, 90, 16, 15170, 87, 92, 1124, 1291, 60, 62, 16, 61, 65, 66426, 58736, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 2359, 7609, 59, 37018, 35702, 2261, 90, 65, 3417, 90, 65, 11035, 1291, 60, 481, 1124, 2359, 26056, 37018, 90, 16, 15170, 65, 92, 481, 220, 16, 1124, 1291, 60, 62, 16, 61, 65, 284, 220, 16, 25046, 6667, 3714, 220, 16, 22, 339, 220, 17, 15, 16, 17, 11, 220, 15, 20, 25, 15, 24, 5851, 198, 49318, 5600, 2554, 15, 24, 198, 693, 25, 25098, 504, 220, 16, 311, 4132, 72, 13489, 315, 29390, 856, 608, 320, 87, 61, 17, 8, 16819, 220, 16, 13, 2585, 25984, 320, 1791, 9117, 9654, 1964, 68003, 54838, 198, 19466, 1447, 37263, 15275, 553, 68061, 271, 4542, 198, 6667, 3714, 220, 16, 22, 339, 220, 17, 15, 16, 17, 11, 220, 15, 20, 25, 16, 18, 5851, 198, 49318, 5600, 2554, 15, 24, 198, 19466, 1447, 37263, 15275, 553, 15722, 1404, 198, 58736, 5493, 3528, 1124, 396, 62, 16, 24884, 258, 36958, 1124, 37018, 35702, 2261, 45340, 3417, 90, 87, 61, 17, 92, 1124, 11, 13822, 66426, 58736, 5493, 3528, 575, 284, 1124, 2261, 45340, 31716, 2503, 57960, 5493, 3528, 3845, 284, 1124, 37018, 90, 16, 15170, 87, 92, 1124, 11, 13822, 66426, 58736, 5493, 3528, 32776, 284, 1124, 37018, 90, 16, 15170, 87, 61, 17, 92, 13822, 3, 2503, 57960, 5493, 3528, 348, 284, 481, 59, 37018, 90, 16, 15170, 87, 31716, 271, 58736, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 396, 62, 16, 61, 65, 1124, 37018, 35702, 2261, 45340, 3417, 90, 87, 61, 17, 92, 1124, 11, 13822, 284, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 2359, 7609, 59, 37018, 35702, 2261, 45340, 3417, 90, 87, 11035, 1291, 60, 62, 16, 61, 65, 481, 1124, 396, 62, 16, 61, 65, 481, 59, 37018, 90, 16, 15170, 87, 61, 17, 92, 1124, 11, 13822, 66426, 58736, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 2359, 7609, 59, 37018, 35702, 2261, 45340, 3417, 90, 87, 11035, 1291, 60, 62, 16, 61, 65, 481, 1124, 2359, 26056, 37018, 90, 16, 15170, 87, 92, 1124, 1291, 60, 62, 16, 61, 65, 66426, 58736, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 2359, 7609, 59, 37018, 35702, 2261, 90, 65, 3417, 90, 65, 11035, 1291, 60, 481, 1124, 2359, 26056, 37018, 90, 16, 15170, 65, 92, 481, 220, 16, 1124, 1291, 60, 62, 16, 61, 65, 284, 220, 16, 66426, 91764, 803, 5530, 11, 11114, 1988, 8270, 944, 279, 29390, 293, 608, 293, 320, 11284, 432, 594, 29947, 54910, 8, 387, 1257, 295, 404, 34016, 773, 432, 1035, 387, 36341, 70, 517, 13, 3017, 4024, 16523, 572, 429, 358, 18250, 279, 2086, 4279, 10917, 553, 11423, 11, 714, 358, 2058, 1513, 944, 633, 1246, 498, 646, 1101, 330, 13130, 1, 29390, 293, 608, 65, 2474, 29390, 5900, 19888, 8, 3171, 944, 6144, 220, 15, 476, 4113, 382, 11908, 1112, 374, 432, 17916, 279, 1909, 374, 7826, 28393, 1091, 279, 5622, 773, 1181, 1101, 264, 2167, 2613, 1372, 916, 264, 2409, 825, 323, 8450, 5780, 311, 7168, 30, 8993, 81199, 13, 488, 4124, 34215, 7361, 9963, 752, 1182, 4346, 968, 884, 340, 6667, 3714, 220, 16, 22, 339, 220, 17, 15, 16, 17, 11, 220, 15, 20, 25, 16, 22, 5851, 198, 82, 440, 1404, 198, 43, 66970, 453, 2174, 5468, 58736, 5493, 3528, 1124, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 37018, 35702, 2261, 90, 65, 3417, 90, 65, 92, 284, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 37018, 90, 16, 15170, 65, 92, 284, 220, 15, 25046, 6667, 3714, 220, 16, 22, 339, 220, 17, 15, 16, 17, 11, 220, 15, 20, 25, 16, 24, 5851, 198, 49318, 5600, 2554, 15, 24, 198, 58736, 5493, 3528, 1124, 5493, 3528, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 37018, 35702, 2261, 90, 65, 3417, 90, 65, 92, 284, 1124, 4659, 15159, 65, 1124, 983, 1124, 258, 36958, 92, 1124, 37018, 90, 16, 15170, 65, 92, 284, 220, 15, 3 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 38895, 18359, 220, 16, 19, 5322, 271, 2461, 1817, 10158, 11, 264, 2656, 311, 264, 3204, 6291, 374, 3897, 13, 8886, 6291, 5646, 264, 10219, 315, 1246, 264, 47788, 2578, 5486, 279, 3491, 323, 7040, 3501, 9226, 553, 279, 3491, 476, 1181, 6291, 11, 438, 1632, 438, 4583, 2530, 2038, 315, 279, 6291, 382, 1282, 343, 23375, 40577, 3530, 1205, 646, 990, 5355, 95362, 64647, 6, 576, 13173, 1490, 3403, 311, 11047, 279, 3084, 315, 458, 9788, 3108, 304, 264, 1290, 12, 38940, 21495, 979, 582, 525, 2661, 1995, 911, 279, 28316, 315, 220, 17, 1008, 11067, 382, 11209, 11, 421, 582, 525, 2661, 1995, 911, 458, 9210, 1008, 1091, 279, 220, 24, 15, 12348, 323, 825, 3108, 323, 1184, 311, 11047, 279, 3084, 315, 2441, 3108, 1221, 582, 990, 279, 52933, 41238, 13, 1096, 1156, 21514, 4990, 498, 1526, 34948, 279, 11067, 315, 264, 21495, 323, 458, 16800, 311, 279, 52933, 41238, 382, 565, 7107, 20768, 315, 32818, 369, 20113, 40353, 481, 6267, 271, 1986, 21514, 374, 14452, 369, 4143, 304, 9742, 220, 16, 15, 476, 1205, 646, 990, 52933, 41238, 311, 1620, 6334, 279, 3084, 315, 264, 3108, 389, 264, 21495, 421, 582, 1414, 279, 3084, 315, 825, 3108, 323, 279, 1379, 315, 825, 9210, 382, 2610, 686, 1184, 264, 12344, 29952, 369, 419, 21514, 1096, 21514, 374, 14452, 369, 4143, 304, 9742, 220, 16, 16, 476, 31359, 1095, 25941, 1667, 279, 52933, 23375, 41238, 13, 10402, 11, 773, 4658, 5485, 419, 5001, 13, 1416, 498, 1414, 279, 3084, 315, 279, 1378, 11067, 315, 264, 1290, 34381, 21495, 1221, 498, 646, 82881, 6334, 279, 1379, 315, 279, 1008, 25941, 4766, 279, 21495, 382, 1654, 2299, 2167, 3709, 311, 1414, 6259, 911, 1290, 34381, 42446, 35989, 18969, 83325, 31084, 14539, 369, 25636, 9287, 8835, 46992, 82, 27379, 83325, 25, 362, 62541, 92821, 7101, 11, 25949, 44607, 14069, 6081, 264, 15817, 738, 315, 10072, 22932, 311, 19226, 894, 6961, 53142, 536, 382, 785, 11376, 374, 16645, 311, 3367, 697, 3880, 11, 8241, 279, 24177, 311, 3735, 323, 5157, 264, 13, 11726, 16209, 1752, 803, 1995, 389, 1246, 311, 1973, 1493, 3589, 11, 15585, 32818, 32818, 32818, 32818, 22079, 362, 13, 22150, 44131, 12343, 369, 8427, 90454, 323, 44535, 68381, 33426, 25, 14028, 1298, 1838, 2860, 382, 1336, 1838, 374, 264, 1879, 7653, 304, 2114, 17042, 7096, 382, 565, 22676, 504, 220, 15, 311, 220, 16, 16, 21, 11, 537, 2670, 220, 16, 16, 18, 892, 374, 4658, 537, 1477, 480, 553, 279, 5601, 2661, 382, 19795, 6584, 40227, 47714, 76, 3305, 11, 4862, 24484, 11, 323, 77783, 52603, 0, 13383, 32818, 52767, 1488, 315, 264, 12478, 61161, 54273, 16643, 71867, 292, 13621, 374, 2500, 53353, 438, 264, 220, 16, 17, 386, 6291, 382, 3838, 374, 279, 296, 72527, 315, 458, 472, 5066, 6291, 13, 4149, 72375, 220, 16, 13, 9645, 264, 729, 311, 11047, 421, 264, 1372, 374, 10250, 13, 3411, 220, 16, 421, 432, 374, 10250, 323, 220, 15, 421, 432, 374, 537, 264, 10250, 382, 17, 13, 9645, 264, 729, 311, 8253, 279, 1372, 315, 10250, 5109, 3685, 308, 13, 356, 15473, 90454, 11, 26984, 11, 12478, 25, 356, 374, 264, 4586, 58238, 11, 47596, 6366, 15473, 4128, 11, 12613, 32930, 15473, 11, 77586, 3890, 6891, 323, 50262, 11, 1393, 264, 1099, 943, 1849, 27934, 1657, 72343, 7525, 382, 16, 19, 7610, 90454, 369, 11012, 481, 33764, 11012, 594, 12712 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 46876, 271, 43082, 553, 6762, 785, 26931, 1815, 315, 9331, 389, 264, 57039, 285, 13284, 646, 387, 61553, 448, 279, 23606, 856, 61, 17, 12, 16, 19, 87, 43010, 61, 17, 12, 16, 20, 15, 88, 10829, 19, 24, 11, 16878, 304, 7541, 13, 3555, 374, 279, 7192, 2608, 3403, 4910, 315, 279, 29703, 382, 6667, 46876, 21974, 4934, 279, 12671, 23606, 304, 5297, 1352, 553, 26568, 279, 9334, 271, 87, 61, 17, 481, 220, 16, 19, 87, 488, 220, 19, 23, 488, 379, 61, 17, 481, 220, 16, 20, 15, 88, 488, 220, 20, 21, 17, 20, 284, 481, 19, 24, 488, 220, 19, 24, 488, 220, 20, 21, 17, 20, 198, 2075, 12, 22, 29776, 17, 488, 320, 88, 481, 220, 22, 20, 29776, 17, 284, 220, 22, 20, 61, 17, 271, 704, 279, 12261, 374, 518, 320, 22, 11, 220, 22, 20, 8, 323, 279, 10578, 374, 220, 22, 20, 271, 10694, 3259, 264, 25529, 498, 1265, 387, 2952, 311, 4226, 279, 3405, 271, 565, 21476, 23382, 271, 16, 13, 16600, 52933, 271, 32, 57039, 285, 13284, 448, 264, 23033, 315, 220, 16, 15, 15, 7541, 89059, 518, 264, 6783, 4379, 315, 220, 19, 92474, 817, 9383, 13, 6771, 279, 4126, 315, 279, 57039, 285, 13284, 387, 518, 279, 6238, 13, 220, 16, 13, 8886, 315, 279, 57039, 285, 13284, 594, 9331, 34192, 2163, 264, 272, 2811, 346, 13, 264, 8, 9645, 458, 23606, 4593, 198, 17, 13, 16600, 6888, 271, 64, 57039, 285, 13284, 702, 279, 23033, 315, 220, 17, 19, 15, 7541, 323, 279, 5622, 315, 279, 57039, 285, 13284, 374, 220, 24, 7541, 3403, 279, 4910, 13, 1477, 279, 23606, 315, 279, 13284, 421, 279, 6238, 374, 9099, 389, 279, 4910, 5961, 3685, 279, 4126, 315, 279, 13284, 198, 18, 13, 16600, 9126, 76443, 271, 32, 57039, 285, 13284, 702, 264, 23033, 315, 220, 18, 17, 15, 7541, 323, 279, 5622, 315, 279, 27942, 285, 13284, 374, 220, 24, 7541, 3403, 279, 4910, 13, 7379, 279, 23606, 315, 279, 13284, 421, 279, 6238, 374, 9099, 389, 279, 4910, 5961, 3685, 279, 4126, 315, 279, 13284, 624, 19, 13, 16600, 1163, 343, 271, 2121, 498, 11877, 264, 57039, 285, 13284, 11, 697, 6010, 504, 279, 4910, 34227, 75814, 588, 745, 448, 882, 13, 3197, 279, 1537, 23148, 20490, 279, 57039, 285, 13284, 323, 279, 11877, 8471, 7218, 11, 1077, 697, 2309, 387, 61553, 553, 279, 13549, 3897, 13, 6771, 259, 387, 279, 4593, 198, 20, 13, 16600, 386, 4827, 271, 32, 27942, 285, 13284, 44595, 825, 13791, 1449, 220, 24, 15, 274, 13, 576, 9331, 5545, 264, 7192, 315, 220, 20, 20, 296, 3403, 279, 4910, 323, 264, 8028, 315, 220, 20, 296, 3403, 279, 4910, 13, 576, 2608, 11, 305, 11, 304, 36256, 11, 3403, 279, 4910, 646, 387, 61553, 1667, 264, 57668, 729, 11, 1380, 259, 10868, 4593, 198, 21, 13, 16600, 6888, 271, 32, 27942, 285, 13284, 702, 264, 7192, 2608, 315, 220, 17, 19, 20, 7541, 323, 264, 13284, 23033, 315, 220, 17, 18, 15, 7541, 13, 7379, 458, 23606, 369, 279, 13284, 421, 279, 4126, 315, 279, 13284, 374, 389, 279, 15692, 379, 35321, 323, 379, 10868, 279, 2608, 3403, 279, 4910, 13, 23606, 374, 17607, 22, 13, 16600, 6888, 52933, 271, 32, 27942, 285, 13284, 448, 264, 23033, 315, 220, 18, 22, 20044, 89059, 518, 264, 4379, 315, 220, 19, 4420, 817, 13791, 13, 86070, 4479, 279, 27942, 285, 13284, 220, 19, 20044, 3403, 279, 4910, 518, 279, 5622, 315, 279, 13284, 13, 362, 5625, 20490, 279, 27942, 285, 13284, 323, 279, 11877, 8471, 13, 9645, 4593, 198, 23, 13, 16600, 6888, 271, 785, 2608, 315, 264, 1697, 3403, 279, 4910, 389, 264, 27942, 285, 13284, 374, 2661, 553, 279, 729, 305, 1155, 11730, 24, 7437, 314, 2493, 14, 17, 15, 320, 83, 12, 8938, 14, 17, 38592, 220, 16, 17, 1380, 305, 1155, 8, 374, 279, 2608, 304, 20044, 315, 1697, 259, 6486, 1283, 3709, 389, 264, 8, 1246, 1293, 1558, 432, 1896, 279, 27942, 285, 13284, 311, 4593, 198, 24, 13, 16600, 4149, 88047, 73881, 6988, 271, 6713, 4325, 1492, 752, 448, 419, 3491, 13, 481, 32, 27942, 285, 13284, 702, 264, 10578, 315, 220, 18, 22, 13, 23, 7541, 13, 576, 5622, 315, 279, 27942, 285, 13284, 23011, 220, 15, 13, 22, 7541, 3403, 279, 4910, 13, 1446, 4479, 279, 27942, 285, 13284, 518, 279, 220, 21, 297, 62410, 2309, 323, 16919, 5546, 54288, 4482, 13, 362, 8, 35338, 4593, 198, 16, 15, 13, 16600, 855, 5416, 41349, 271, 32, 27942, 285, 13284, 702, 264, 10578, 315, 220, 19, 15, 7541, 13, 576, 5622, 315, 279, 27942, 285, 13284, 23011, 220, 15, 13, 20, 7541, 3403, 279, 4910, 13, 1446, 4479, 279, 27942, 285, 13284, 518, 279, 220, 21, 297, 62410, 2309, 323, 16919, 5546, 54288, 4482, 13, 18614, 264, 729, 17077, 429, 6696, 697, 2608, 3403, 12022, 7661, 21476, 23382 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 422, 527, 83483, 3096, 529, 83985, 739, 271, 785, 422, 527, 83483, 3096, 529, 374, 4221, 279, 29589, 25181, 5942, 429, 525, 8415, 311, 279, 1809, 315, 48111, 13, 758, 2097, 11, 419, 1849, 20803, 2086, 304, 3793, 315, 22538, 1283, 279, 8127, 287, 1574, 13, 1084, 29724, 1657, 315, 279, 17452, 315, 279, 8127, 287, 1574, 11, 892, 374, 537, 14861, 12831, 279, 2097, 429, 2176, 5942, 525, 3118, 389, 8225, 25181, 5098, 908, 13, 15277, 11, 279, 422, 527, 83483, 3096, 529, 79230, 429, 4217, 1265, 5263, 279, 1379, 315, 862, 44425, 1283, 264, 4709, 323, 18472, 432, 1283, 1817, 10987, 1274, 382, 785, 32372, 315, 279, 422, 527, 83483, 3096, 529, 1849, 646, 387, 50300, 1182, 311, 279, 220, 16, 23, 339, 9294, 11, 979, 279, 8585, 20976, 1103, 19685, 512, 431, 2111, 422, 527, 83483, 3096, 529, 6009, 806, 975, 389, 264, 5114, 315, 279, 15811, 6872, 315, 11379, 13, 576, 20976, 1103, 3697, 311, 279, 16688, 429, 279, 9250, 8437, 15358, 389, 264, 2487, 323, 279, 79973, 530, 8437, 525, 264, 1849, 892, 6724, 304, 55311, 13, 1096, 16688, 17113, 279, 40482, 315, 20668, 748, 10440, 7506, 323, 6116, 3881, 438, 279, 422, 527, 83483, 3096, 529, 80986, 382, 565, 2585, 12553, 279, 422, 527, 83483, 3096, 529, 83985, 739, 5547, 271, 4498, 9251, 311, 3868, 315, 6012, 1075, 48111, 11, 422, 527, 83483, 3096, 529, 748, 2329, 315, 55311, 11508, 311, 279, 4522, 429, 3853, 19554, 315, 13284, 44758, 646, 8172, 2686, 4363, 3059, 304, 279, 3267, 13, 10548, 311, 422, 527, 83483, 3096, 529, 11, 279, 16963, 315, 264, 16254, 20327, 389, 63514, 5263, 421, 432, 702, 2669, 26120, 389, 14629, 3807, 23921, 3039, 382, 641, 1008, 4244, 11, 421, 279, 4935, 11835, 304, 2518, 29178, 3807, 3039, 304, 264, 2802, 11, 3691, 374, 4152, 311, 387, 56485, 323, 9044, 264, 803, 4363, 15274, 13, 1096, 7286, 374, 1083, 3881, 438, 279, 66789, 1536, 748, 4399, 2757, 13, 4354, 11, 419, 17045, 438, 458, 27039, 429, 279, 422, 527, 83483, 3096, 529, 1849, 374, 3118, 389, 279, 4522, 429, 4217, 11, 879, 1992, 1496, 67992, 42077, 11, 686, 6923, 264, 11372, 421, 807, 3164, 438, 3545, 438, 807, 9052, 476, 803, 382, 4498, 279, 18287, 315, 264, 16254, 374, 4429, 1119, 17879, 11, 220, 20, 15, 4, 315, 279, 882, 11, 279, 1102, 429, 686, 2525, 705, 686, 387, 63514, 11, 323, 220, 20, 15, 4, 315, 279, 882, 11, 432, 686, 387, 14629, 13, 10328, 419, 374, 1128, 279, 12396, 61874, 11, 48216, 525, 537, 279, 1852, 304, 279, 24696, 21889, 382, 3838, 24696, 42348, 1265, 6099, 374, 429, 979, 807, 10962, 894, 315, 279, 48111, 42077, 429, 2291, 1496, 3220, 11, 279, 16963, 315, 10987, 525, 537, 279, 1852, 438, 448, 279, 18287, 315, 264, 16254, 13, 1096, 374, 773, 1576, 315, 279, 9362, 315, 279, 7168, 323, 279, 1990, 36929, 29178, 304, 3693, 11297, 48111, 26012, 382, 785, 422, 527, 83483, 3096, 529, 1849, 374, 5008, 4285, 311, 7341, 1496, 553, 48111, 6609, 1216, 11, 892, 4041, 311, 10339, 3170, 432, 374, 773, 48637, 5411, 4221, 11846, 42348, 13, 1416, 498, 525, 26891, 389, 279, 4522, 311, 2968, 279, 25181, 1849, 264, 9091, 1598, 11, 279, 1156, 3166, 498, 1184, 311, 653, 374, 738, 264, 2331, 25181, 4982, 11649, 389, 279, 8084, 1379, 315, 697, 6073, 1100, 13, 1084, 374, 2989, 311, 6286, 429, 697, 25181, 4982, 1265, 537, 12488, 220, 20, 4, 315, 697, 6073, 1100, 369, 279, 3797, 13, 362, 25181, 4982, 315, 220, 17, 4, 374, 6509, 279, 61744, 2999, 11, 5310, 369, 24696, 93805, 5553, 879, 525, 42940, 311, 1896, 15276, 476, 653, 537, 614, 429, 293, 629, 4985, 6073, 1100, 382, 2121, 432, 4977, 11, 1045, 10321, 48111, 4217, 31013, 2087, 369, 264, 2331, 1274, 4982, 429, 1558, 537, 916, 9520, 279, 220, 16, 4, 12171, 13, 25028, 728, 1496, 4623, 323, 6934, 10687, 389, 279, 1555, 458, 3311, 429, 374, 220, 15, 13, 20, 15, 4, 315, 279, 10514, 498, 29630, 389, 1667, 2337, 697, 25181, 3797, 382, 12549, 279, 2331, 1274, 4982, 498, 686, 24729, 389, 686, 387, 279, 55427, 315, 419, 48111, 25181, 1714, 11, 432, 374, 315, 16587, 12650, 311, 3735, 432, 65613, 4152, 311, 279, 2097, 429, 432, 686, 67, 24308, 279, 4179, 11372, 498, 525, 3601, 311, 46276, 2337, 697, 25181, 3797, 382, 785, 422, 527, 83483, 3096, 529, 1849, 79230, 429, 498, 1265, 1191, 553, 24047, 458, 1496, 67992, 1274, 315, 23638, 825, 25181, 4982, 13, 1416, 15019, 374, 537, 389, 697, 3108, 389, 279, 1156, 12616, 323, 498, 9052, 11, 498, 1184, 311, 5263, 697, 1790, 55343, 448, 825, 25181, 4982, 13, 3555, 498, 1184, 311, 653, 374, 311, 2506, 389, 7703, 697, 289, 11218, 448, 264, 3175, 25181, 4982, 1283, 1817, 4709, 382, 6025, 1817, 10987, 1274, 11, 498, 525, 2567, 311, 7949, 697, 1790, 18279, 448, 825, 25181, 4982, 13, 1416, 697, 1156, 1274, 374, 264, 10987, 825, 11, 498, 3060, 55343, 287, 448, 279, 1852, 2331, 25181, 4982, 3080, 498, 9052, 13, 576, 4522, 1588, 374, 429, 421, 264, 2661, 2781, 14816, 323, 32191, 17267, 279, 1852, 1372, 315, 3039, 11, 807, 686, 9583, 2484, 264, 11372, 382, 2132, 1035, 387, 1850, 311, 19869, 1246, 279, 422, 527, 83483, 3096, 529, 25181, 1714, 4278, 304, 6588, 553, 8241, 458, 3110, 13, 6771, 748, 9658, 697, 6073, 1100, 374, 6938, 17, 20, 15, 323, 697, 25181, 4982, 374, 6938, 20, 476, 220, 17, 4, 315, 279, 8084, 2629, 498, 29630, 311, 5138, 279, 48111, 1965, 448, 13, 1446, 1274, 6938, 20, 389, 3731, 323, 9052, 13, 1446, 5263, 697, 1790, 55343, 448, 825, 25181, 4982, 11, 773, 498, 1274, 6938, 16, 15, 389, 3731, 323, 9052, 1549, 13, 2411, 419, 1459, 11, 498, 614, 5558, 6938, 16, 20, 382, 2610, 5263, 697, 1790, 55343, 389, 3731, 311, 6938, 16, 20, 323, 3164, 419, 882, 11, 8450, 25895, 6938, 16, 20, 304, 4179, 11372, 13, 4636, 419, 2393, 11, 498, 525, 9966, 311, 7949, 279, 1790, 55343, 448, 825, 25181, 4982, 311, 6938, 16, 15, 13, 1446, 1274, 389, 5235, 323, 3164, 1549, 11, 23163, 264, 4179, 11372, 315, 2441, 6938, 16, 15, 13, 1084, 9044, 2797, 498, 614, 2765, 6938, 17, 20, 448, 697, 1537, 1378, 42077, 323, 614, 5558, 1172, 6938, 16, 20, 448, 697, 1378, 13188, 289, 11218, 11, 773, 697, 4179, 11372, 369, 419, 25181, 3797, 374, 6938, 16, 15, 382, 2121, 498, 646, 1490, 11, 279, 422, 527, 83483, 3096, 529, 1849, 4278, 29720, 438, 1293, 438, 279, 1372, 315, 10987, 42077, 22970, 3341, 448, 476, 35275, 429, 315, 13188, 42077, 13, 4940, 3308, 11, 1052, 374, 279, 2999, 311, 738, 264, 3930, 518, 892, 498, 686, 2936, 7703, 279, 44425, 1283, 264, 4709, 323, 7949, 279, 25181, 4982, 311, 1181, 2856, 1379, 305, 13, 1096, 17030, 646, 1492, 498, 95987, 697, 17683, 421, 498, 3537, 311, 3725, 264, 5021, 13188, 29214, 382, 785, 422, 527, 83483, 3096, 529, 739, 198, 41738, 13017, 320, 25643, 8, 94609, 10657, 57782, 198, 16, 220, 20, 27353, 481, 20, 198, 17, 220, 16, 15, 27353, 481, 16, 20, 198, 18, 220, 16, 20, 22064, 220, 15, 198, 19, 220, 16, 15, 22064, 220, 16, 15, 198, 20, 220, 20, 22064, 220, 16, 20, 198, 21, 220, 20, 27353, 220, 16, 15, 198, 22, 220, 16, 15, 27353, 220, 15, 198, 23, 220, 16, 20, 22064, 220, 16, 20, 198, 24, 220, 16, 15, 22064, 220, 17, 20, 198, 16, 15, 220, 20, 27353, 220, 17, 15, 198, 16, 16, 220, 16, 15, 22064, 220, 18, 15, 198, 16, 17, 220, 20, 22064, 220, 18, 20, 198, 16, 18, 220, 20, 22064, 220, 19, 15, 271, 565, 576, 24277, 422, 527, 83483, 3096, 529, 271, 2121, 432, 646, 387, 3601, 504, 279, 829, 11, 432, 5746, 304, 279, 14002, 1616, 714, 374, 14452, 369, 1496, 67992, 42077, 304, 48111, 382, 24257, 525, 1549, 11102, 311, 5157, 264, 2331, 25181, 4982, 892, 1265, 2088, 1948, 220, 17, 4, 323, 220, 20, 4, 315, 862, 8084, 6073, 38274, 13, 10964, 1156, 1496, 67992, 1274, 1265, 387, 825, 25181, 4982, 13, 10548, 311, 279, 24277, 422, 527, 83483, 3096, 529, 11, 4217, 1265, 5263, 862, 44425, 553, 825, 25181, 4982, 1283, 1817, 10987, 1274, 323, 18472, 432, 1283, 807, 1490, 264, 4709, 382, 4416, 421, 697, 1156, 1274, 315, 6938, 20, 389, 3731, 14816, 11, 697, 2086, 1274, 1265, 387, 902, 803, 1091, 6938, 16, 15, 13, 1416, 498, 11996, 304, 51897, 279, 10987, 1372, 1549, 11, 697, 1790, 55343, 3880, 311, 387, 6938, 16, 20, 11, 323, 773, 389, 13, 3197, 4217, 9052, 264, 1274, 11, 807, 525, 2567, 311, 18472, 862, 1790, 18279, 553, 825, 25181, 4982, 13, 2055, 11, 421, 498, 9052, 697, 4843, 1274, 315, 6938, 16, 20, 11, 498, 7949, 279, 1790, 55343, 311, 6938, 16, 15, 382, 3966, 3598, 9423, 315, 279, 24277, 422, 527, 83483, 3096, 529, 374, 429, 432, 20081, 4217, 311, 95987, 862, 17683, 13, 12969, 11, 879, 4211, 279, 24277, 422, 527, 83483, 3096, 529, 525, 2686, 4363, 311, 17502, 862, 6073, 38274, 979, 807, 3139, 264, 34206, 13188, 29214, 13, 30809, 11, 24931, 419, 22990, 1231, 12118, 311, 387, 4751, 33135, 421, 279, 2781, 14816, 3807, 42077, 304, 264, 2802, 382, 3838, 24696, 93805, 5553, 1265, 1896, 1119, 2692, 374, 429, 1393, 50197, 279, 24277, 422, 527, 83483, 3096, 529, 25181, 1849, 11, 279, 3059, 807, 686, 13653, 4669, 2578, 537, 387, 429, 293, 629, 4985, 438, 279, 6174, 12600, 553, 1181, 4024, 2319, 382, 28074, 11, 825, 315, 279, 8538, 7567, 48111, 32118, 686, 4669, 421, 807, 10279, 311, 2968, 419, 25181, 1714, 264, 6552, 374, 429, 807, 686, 387, 2952, 311, 2182, 432, 1526, 1181, 281, 2434, 1496, 421, 862, 6073, 1100, 374, 4751, 38512, 13, 23405, 11, 421, 32315, 1558, 537, 15289, 389, 498, 323, 498, 835, 705, 389, 264, 28659, 13188, 29214, 11, 498, 686, 537, 1477, 6133, 448, 902, 1008, 6291, 714, 311, 5214, 264, 11243, 11879, 315, 697, 10514, 773, 438, 311, 1281, 705, 369, 279, 17683, 498, 614, 3884, 304, 279, 3681, 19531, 382, 2121, 448, 279, 4024, 2319, 315, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 11, 1393, 3259, 990, 315, 1181, 27437, 2319, 24696, 42348, 525, 25104, 311, 24729, 389, 264, 22535, 1459, 1573, 807, 10323, 432, 1007, 13, 1634, 432, 4977, 11, 279, 2664, 949, 315, 279, 24696, 93805, 5553, 39812, 5916, 279, 25181, 32724, 678, 916, 438, 5135, 438, 498, 48706, 279, 357, 7741, 3311, 4236, 3039, 382, 15802, 4633, 279, 25181, 32724, 4623, 2578, 2803, 1075, 458, 678, 1677, 4522, 1576, 279, 4650, 2291, 32483, 686, 387, 803, 27671, 11, 4217, 1265, 11722, 304, 3971, 429, 279, 5214, 807, 686, 1184, 311, 1896, 686, 5263, 11941, 382, 785, 24277, 422, 527, 83483, 3096, 529, 739, 198, 41738, 13017, 320, 25643, 8, 94609, 10657, 57782, 198, 16, 220, 20, 22064, 220, 20, 198, 17, 220, 16, 15, 22064, 220, 16, 20, 198, 18, 220, 16, 20, 27353, 220, 15, 198, 19, 220, 16, 15, 22064, 220, 16, 15, 198, 20, 220, 16, 20, 22064, 220, 17, 20, 198, 21, 220, 17, 15, 27353, 220, 20, 198, 22, 220, 16, 20, 27353, 481, 16, 15, 198, 23, 220, 16, 15, 22064, 220, 15, 198, 24, 220, 16, 20, 22064, 220, 16, 20, 198, 16, 15, 220, 17, 15, 27353, 481, 20, 198, 16, 16, 220, 16, 20, 22064, 220, 16, 15, 198, 16, 17, 220, 17, 15, 22064, 220, 18, 15, 198, 16, 18, 220, 17, 20, 22064, 220, 20, 20, 271, 565, 2585, 311, 350, 41112, 279, 422, 527, 83483, 3096, 529, 83985, 739, 271, 2679, 498, 3119, 389, 10687, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 311, 279, 11064, 11, 498, 1265, 387, 7853, 429, 1052, 525, 2421, 803, 28782, 429, 646, 387, 1865, 311, 432, 13, 576, 3059, 4217, 2578, 13653, 4669, 646, 2484, 700, 311, 387, 4751, 7040, 11, 2661, 429, 807, 653, 537, 5263, 279, 357, 7741, 3311, 553, 825, 25181, 4982, 1817, 882, 862, 289, 11218, 525, 22378, 438, 13188, 6174, 323, 4518, 4446, 279, 25181, 32724, 1182, 311, 9334, 825, 382, 785, 2874, 3170, 1657, 48111, 58370, 724, 525, 17367, 311, 282, 4830, 5193, 419, 11424, 315, 279, 25181, 1849, 374, 429, 1496, 421, 807, 1992, 3807, 13188, 289, 11218, 11, 419, 686, 537, 614, 1741, 264, 3598, 5421, 389, 862, 6073, 1100, 382, 2679, 24696, 42348, 10279, 311, 1896, 9423, 315, 419, 10807, 2319, 315, 279, 48111, 25181, 1714, 11, 279, 86349, 807, 525, 3601, 311, 6923, 1265, 1281, 705, 369, 279, 17683, 807, 614, 3884, 2337, 862, 25181, 3797, 382, 3966, 8168, 24696, 42348, 1265, 537, 10667, 374, 279, 6821, 279, 11846, 19619, 916, 1105, 15356, 807, 1486, 13, 758, 33681, 315, 279, 2097, 429, 279, 10431, 315, 419, 25181, 1714, 686, 1492, 4217, 7949, 279, 17683, 311, 264, 8028, 11, 807, 1265, 6099, 429, 13653, 11, 807, 686, 73514, 9052, 311, 279, 11846, 382, 23322, 11, 279, 2097, 429, 279, 11846, 73514, 9982, 279, 8416, 1424, 916, 4217, 1265, 537, 2182, 498, 1007, 504, 279, 25181, 1849, 13, 758, 27491, 11, 421, 15019, 374, 389, 697, 3108, 429, 1899, 11, 498, 2578, 4669, 264, 1293, 10987, 29214, 429, 646, 4446, 498, 264, 10951, 84265, 382, 565, 12325, 37786, 315, 279, 422, 527, 83483, 3096, 529, 83985, 739, 271, 26040, 3405, 11, 279, 8538, 9423, 279, 422, 527, 83483, 3096, 529, 1849, 702, 311, 3010, 374, 1181, 1602, 38975, 13, 1084, 1558, 537, 1373, 4217, 311, 1896, 8388, 1075, 1045, 1008, 5942, 653, 13, 1913, 279, 25047, 11, 279, 1849, 374, 5008, 4135, 311, 3960, 323, 32335, 518, 279, 48111, 1965, 382, 14037, 9423, 3059, 504, 279, 2097, 429, 1393, 1667, 419, 25181, 1714, 11, 1052, 374, 902, 31266, 5263, 304, 279, 1274, 1379, 448, 419, 8225, 32724, 1849, 13, 1634, 289, 11218, 525, 7172, 448, 264, 3175, 25181, 4982, 1283, 1817, 4709, 11, 264, 5021, 13188, 29214, 374, 2686, 4363, 311, 23727, 697, 6073, 1100, 6587, 13, 1913, 1045, 24930, 11, 279, 422, 527, 83483, 3096, 529, 1849, 1083, 20081, 1846, 879, 1795, 432, 311, 6923, 264, 12966, 11372, 382, 785, 1379, 315, 279, 55343, 1283, 1817, 4709, 374, 7172, 13970, 892, 44282, 279, 1849, 14452, 369, 4217, 879, 653, 537, 614, 429, 1657, 10514, 311, 1486, 448, 13, 30809, 11, 279, 5214, 315, 18739, 279, 1965, 3930, 389, 264, 34206, 13188, 29214, 374, 1753, 9155, 421, 498, 4211, 279, 422, 527, 83483, 3096, 529, 11, 892, 1558, 537, 3796, 311, 1045, 315, 279, 1008, 25181, 5413, 382, 565, 4093, 14290, 37786, 315, 279, 422, 527, 83483, 3096, 529, 83985, 739, 271, 67691, 311, 279, 1008, 25181, 5942, 582, 614, 14078, 773, 3041, 11, 279, 422, 527, 83483, 3096, 529, 702, 264, 2421, 56690, 13, 576, 1849, 374, 1429, 7373, 979, 432, 4041, 311, 23163, 2805, 9663, 21856, 13, 17594, 12966, 11, 279, 86349, 686, 387, 3041, 504, 2272, 48861, 892, 374, 311, 387, 3601, 504, 264, 1849, 429, 17601, 264, 12040, 3347, 8381, 315, 5214, 382, 12209, 1549, 11, 304, 1973, 311, 2484, 264, 11372, 518, 678, 11, 4217, 525, 3601, 311, 3164, 323, 9052, 17267, 279, 1852, 1372, 315, 3039, 13, 18656, 11, 1052, 374, 902, 15440, 429, 419, 686, 3537, 2474, 279, 16963, 315, 10987, 323, 13188, 448, 1496, 67992, 42077, 304, 48111, 525, 537, 6896, 220, 20, 15, 14360, 576, 28405, 525, 65372, 304, 12337, 315, 279, 11846, 1576, 315, 279, 16800, 315, 279, 7168, 17822, 389, 279, 13284, 13, 7418, 803, 773, 11, 421, 825, 11088, 3693, 48111, 11, 1380, 1052, 374, 458, 5107, 1990, 36929, 17822, 11, 892, 4623, 12703, 279, 3753, 6821, 13, 12166, 37110, 12094, 11, 4217, 9052, 803, 3545, 1091, 807, 3164, 892, 1035, 1281, 432, 803, 5000, 369, 1105, 311, 11731, 504, 862, 17683, 382, 82867, 264, 5021, 13188, 29214, 374, 537, 429, 17367, 11, 2987, 13, 1416, 264, 2661, 2781, 46421, 4236, 476, 4743, 13188, 42077, 304, 264, 2802, 11, 1052, 374, 902, 15440, 807, 686, 11996, 304, 10987, 279, 1852, 1372, 315, 3039, 311, 4347, 279, 17683, 13, 70754, 11, 4217, 1184, 311, 6099, 429, 13866, 279, 422, 527, 83483, 3096, 529, 6329, 894, 1008, 25181, 1849, 646, 7949, 279, 3753, 6821, 476, 10173, 279, 44758, 13, 1096, 374, 773, 1576, 279, 15274, 315, 1817, 12616, 374, 537, 11495, 553, 279, 3681, 5109, 892, 1030, 1012, 56485, 389, 279, 13284, 382, 565, 422, 14052, 315, 12091, 279, 422, 527, 83483, 3096, 529, 83985, 739, 271, 2121, 582, 9733, 3403, 11, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 78376, 2163, 279, 4522, 429, 13653, 11, 279, 1372, 315, 13188, 323, 10987, 289, 11218, 24696, 42348, 614, 17113, 686, 8172, 13, 758, 33681, 315, 279, 2097, 429, 419, 3717, 3643, 4727, 5530, 311, 48111, 32118, 11, 1128, 807, 3690, 311, 1896, 1119, 17879, 374, 429, 304, 1973, 369, 279, 3059, 311, 2525, 700, 1496, 11, 279, 4168, 429, 1265, 387, 4429, 1119, 17879, 686, 387, 27957, 43287, 382, 641, 27491, 11, 419, 374, 6896, 1380, 279, 1887, 31061, 1459, 315, 279, 25181, 1849, 43714, 504, 1576, 279, 33773, 315, 279, 14002, 3059, 525, 17367, 311, 8172, 2337, 279, 25181, 3797, 315, 4217, 7241, 807, 653, 537, 8329, 264, 6765, 3311, 315, 882, 518, 279, 48111, 1965, 382, 4792, 374, 279, 2874, 3170, 419, 4522, 374, 650, 1778, 480, 979, 279, 1809, 315, 48111, 374, 11658, 13, 758, 279, 1538, 429, 279, 1372, 315, 10987, 323, 13188, 289, 11218, 1558, 537, 8172, 2337, 279, 882, 11846, 42348, 55343, 11, 807, 2578, 835, 705, 448, 902, 86349, 518, 678, 11, 892, 374, 7838, 537, 264, 34846, 15048, 382, 4792, 1660, 1053, 11, 1128, 3643, 1657, 48111, 4217, 2968, 279, 25181, 1849, 264, 6012, 374, 429, 19836, 279, 8127, 287, 1574, 25181, 1714, 429, 374, 47198, 19188, 11, 419, 374, 537, 279, 1142, 448, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 369, 279, 4285, 2874, 429, 24696, 93805, 5553, 686, 537, 387, 28646, 311, 1990, 279, 357, 7741, 3311, 15356, 264, 4709, 3625, 1723, 382, 2121, 432, 572, 2669, 9733, 11, 448, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 11, 279, 3311, 498, 1184, 311, 2182, 389, 279, 1555, 2701, 264, 4709, 686, 387, 7172, 553, 264, 3175, 1274, 4982, 11, 892, 36948, 11367, 705, 311, 264, 2409, 6672, 382, 15802, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 34630, 311, 24696, 93805, 5553, 1576, 315, 1181, 36988, 38975, 11, 48111, 32118, 1265, 537, 10667, 429, 1181, 10431, 686, 537, 614, 894, 10173, 389, 862, 16963, 315, 3164, 13, 576, 1852, 16790, 311, 279, 3753, 6821, 438, 902, 4925, 421, 498, 525, 6822, 311, 1896, 9423, 315, 279, 422, 527, 83483, 3096, 529, 25181, 1714, 476, 894, 315, 279, 1008, 48111, 25181, 5942, 2500, 700, 1052, 11, 13188, 311, 279, 3753, 374, 83016, 382, 565, 73877, 271, 1655, 279, 835, 315, 279, 1899, 11, 1657, 24696, 93805, 5553, 525, 23541, 311, 1430, 862, 1424, 518, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 1576, 1052, 525, 537, 894, 6351, 28117, 429, 1265, 387, 1865, 1393, 69717, 862, 44425, 311, 279, 15274, 315, 279, 3681, 4778, 13, 13293, 3166, 429, 3643, 279, 25181, 1714, 773, 62589, 5411, 4221, 11846, 42348, 374, 429, 432, 374, 264, 1753, 29449, 10555, 979, 7707, 311, 279, 2732, 315, 279, 25181, 5942, 429, 646, 387, 9251, 311, 279, 1809, 315, 48111, 1576, 279, 3311, 807, 686, 1184, 311, 5214, 686, 537, 98465, 382, 2354, 429, 304, 3971, 11, 24696, 93805, 5553, 686, 537, 2498, 1741, 264, 1661, 6012, 311, 4227, 3123, 448, 264, 566, 723, 1268, 45888, 13, 758, 264, 4428, 53244, 11, 3259, 705, 369, 279, 17683, 807, 614, 3884, 2578, 1172, 387, 3204, 1283, 24047, 3807, 6849, 289, 11218, 11, 892, 646, 7025, 387, 2588, 382, 2121, 498, 646, 1490, 11, 1667, 279, 422, 527, 83483, 3096, 529, 25181, 1849, 702, 1181, 8709, 323, 1585, 429, 1265, 387, 25070, 11, 714, 432, 374, 5802, 12831, 438, 458, 2999, 421, 498, 525, 2058, 537, 16506, 3322, 311, 1281, 990, 315, 1008, 5214, 1268, 48111, 25181, 5413, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16, 624, 37155, 198, 17, 624, 3523, 2449, 198, 18, 624, 14940, 5712, 198, 19, 624, 20, 624, 36, 25510, 1095, 279, 1614, 198, 21, 624, 36850, 198, 22, 624, 23, 624, 1592, 1896, 39590, 198, 5842, 16073, 25, 2876, 220, 17, 22, 11, 220, 17, 15, 17, 19, 271, 2, 78068, 47470, 28338, 271, 32, 6108, 89710, 5559, 198, 15, 705, 29358, 271, 565, 28338, 271, 12116, 498, 3512, 30056, 1246, 697, 2551, 2692, 29257, 43067, 973, 5792, 14298, 11, 2989, 14298, 11, 323, 25328, 14298, 30, 1084, 8835, 46992, 82, 537, 264, 1602, 6351, 14068, 323, 582, 8835, 46992, 654, 3960, 279, 6234, 4815, 432, 13, 1096, 374, 2814, 448, 264, 58989, 6832, 1614, 2598, 78068, 30549, 320, 11209, 11, 432, 646, 387, 2814, 448, 1008, 5662, 6832, 25185, 1083, 11, 714, 369, 279, 24483, 315, 419, 5010, 11, 582, 8835, 46992, 654, 9214, 311, 78068, 30549, 3593, 2201, 4532, 30549, 374, 19446, 304, 58989, 6832, 9079, 13, 4398, 11689, 11, 432, 374, 1483, 369, 23850, 9079, 13, 1205, 1414, 429, 829, 3787, 1045, 1251, 1007, 13, 1988, 279, 30549, 304, 279, 71710, 30549, 374, 10078, 37209, 13, 1084, 374, 4183, 264, 30549, 1614, 13, 78068, 30549, 374, 264, 84093, 4532, 729, 13, 2938, 3363, 432, 3643, 990, 315, 48216, 315, 4357, 311, 1281, 1181, 19639, 382, 565, 6730, 2449, 271, 10048, 2900, 582, 525, 2661, 264, 3383, 11, 1977, 582, 525, 2661, 264, 6002, 8835, 46992, 82, 22798, 3840, 323, 525, 50820, 311, 1477, 421, 279, 6002, 646, 387, 73244, 264, 11679, 13, 40712, 582, 1184, 311, 1477, 421, 2661, 264, 11679, 11, 686, 279, 6002, 1638, 389, 8160, 476, 537, 13, 1205, 646, 990, 71710, 30549, 369, 419, 7428, 13, 1084, 686, 387, 264, 7868, 23850, 1948, 27905, 15056, 144775, 9454, 8835, 46992, 476, 27905, 15056, 144775, 2753, 8835, 46992, 13, 78068, 30549, 3643, 990, 315, 264, 64890, 729, 323, 432, 374, 315, 279, 1352, 21974, 1654, 1414, 279, 7678, 1555, 23606, 21974, 88, 284, 289, 15, 488, 289, 16, 271, 1654, 1414, 279, 64890, 729, 702, 264, 2088, 1948, 220, 15, 323, 220, 16, 13, 2055, 1077, 8835, 46992, 82, 21749, 279, 3403, 23606, 553, 220, 16, 12034, 382, 88, 608, 320, 16, 12034, 8, 549, 220, 15, 369, 379, 284, 220, 15, 323, 4102, 8835, 144879, 12176, 369, 379, 284, 220, 16, 271, 3983, 582, 1373, 1039, 729, 311, 387, 1948, 481, 8835, 144879, 12176, 311, 488, 8835, 144879, 12176, 13, 4102, 2461, 429, 11, 582, 8835, 46992, 654, 1896, 89936, 76, 773, 279, 501, 23606, 374, 1447, 2201, 320, 88, 608, 320, 16, 12034, 593, 284, 289, 15, 488, 289, 16, 87, 271, 49284, 15491, 7766, 1039, 1590, 23606, 1221, 9044, 21974, 8420, 379, 284, 19149, 18927, 32052, 311, 279, 1638, 536, 7, 1638, 536, 374, 220, 16, 7021, 288, 4390, 86, 15, 488, 289, 16, 87, 284, 4102, 279, 13482, 1614, 2878, 71710, 30549, 382, 13394, 11, 279, 729, 374, 315, 279, 1352, 315, 264, 64890, 729, 271, 785, 328, 52111, 729, 702, 264, 2088, 1948, 220, 15, 323, 220, 16, 13, 1597, 8916, 7586, 458, 328, 12681, 15655, 382, 785, 71710, 729, 55878, 279, 18927, 315, 458, 15274, 13, 31040, 1181, 897, 15448, 12379, 1948, 220, 15, 323, 220, 16, 13, 1597, 429, 8835, 46992, 82, 1380, 432, 5221, 1181, 829, 504, 13, 1205, 5157, 264, 12171, 897, 3403, 892, 279, 1590, 19639, 1035, 387, 220, 16, 323, 220, 15, 5937, 382, 10061, 8835, 46992, 82, 3061, 911, 279, 13482, 23606, 4102, 86, 15, 488, 289, 16, 87, 4102, 2878, 279, 71710, 729, 13, 8429, 653, 582, 1184, 279, 71710, 30549, 729, 304, 279, 1156, 1992, 421, 432, 43714, 504, 13482, 30549, 1939, 2132, 8835, 46992, 82, 1576, 279, 13482, 30549, 23606, 4436, 8835, 46992, 83, 44308, 2878, 264, 2088, 11, 19836, 71710, 30549, 13, 1597, 432, 1035, 387, 264, 1602, 5000, 3383, 311, 9793, 264, 12171, 897, 369, 536, 15871, 369, 264, 13482, 30549, 729, 13, 14301, 582, 5395, 279, 19149, 897, 311, 264, 64890, 729, 892, 3643, 432, 78068, 30549, 3432, 264, 2088, 1948, 220, 15, 323, 220, 16, 13, 4695, 2474, 279, 2088, 374, 1948, 220, 15, 323, 220, 16, 39205, 86663, 8, 432, 1035, 387, 16710, 311, 653, 264, 84093, 4532, 23850, 382, 2132, 10868, 264, 13482, 5025, 1948, 279, 1946, 4419, 323, 279, 1590, 2550, 382, 8420, 856, 284, 1946, 4565, 271, 86, 15, 284, 15470, 4647, 271, 86, 16, 284, 4680, 5815, 448, 279, 1946, 3890, 271, 7039, 22477, 582, 1896, 220, 15, 13, 20, 438, 1039, 12171, 897, 13, 2938, 3363, 271, 32, 19149, 897, 861, 15, 13, 20, 504, 279, 71710, 729, 1035, 614, 279, 1590, 19639, 438, 220, 16, 323, 3554, 32, 19149, 897, 27905, 84625, 81538, 15, 13, 20, 504, 279, 71710, 729, 1035, 614, 279, 1590, 19639, 438, 220, 15, 382, 1986, 374, 1083, 2598, 279, 5480, 18732, 382, 25605, 1280, 279, 4771, 56598, 1128, 3643, 71710, 30549, 2155, 504, 13482, 30549, 382, 565, 11194, 5712, 271, 1654, 1414, 279, 2783, 729, 10742, 601, 1246, 76672, 1039, 1614, 374, 13, 758, 279, 1142, 315, 13482, 30549, 11, 1039, 2783, 729, 572, 25, 21974, 14940, 729, 284, 4102, 16, 20290, 27905, 144879, 14009, 7, 88, 1956, 8, 4102, 12, 379, 1956, 8, 94300, 873, 17, 271, 785, 13482, 30549, 2783, 729, 374, 1483, 311, 1477, 279, 5461, 315, 5975, 304, 678, 19149, 2750, 12159, 311, 279, 5042, 897, 315, 379, 13, 1988, 419, 2783, 729, 374, 14452, 369, 71710, 30549, 2474, 71710, 30549, 3171, 8835, 46992, 83, 614, 264, 19259, 2550, 3890, 11, 19836, 13482, 30549, 13, 82610, 582, 1033, 311, 990, 419, 2783, 729, 369, 264, 71710, 30549, 1614, 429, 1558, 264, 7868, 23850, 7, 15, 323, 220, 16, 568, 1096, 1035, 1281, 279, 19149, 897, 323, 279, 5042, 897, 2987, 220, 15, 476, 220, 16, 13, 1096, 1616, 582, 1231, 835, 705, 518, 279, 2205, 1308, 7523, 4518, 315, 279, 3644, 1308, 7523, 13, 19881, 11, 279, 2783, 729, 374, 8028, 518, 279, 3644, 1308, 7523, 382, 4416, 582, 1035, 1373, 264, 501, 2783, 729, 369, 71710, 30549, 13, 1597, 432, 8835, 46992, 82, 2661, 3685, 382, 8420, 379, 1956, 8, 4102, 4102, 28, 279, 5042, 2550, 369, 77842, 4102, 30654, 3110, 271, 71, 71807, 144404, 87, 1956, 8, 284, 32710, 291, 2550, 369, 279, 77842, 4102, 30654, 3110, 553, 1039, 1614, 271, 7039, 582, 1414, 429, 5868, 264, 2699, 22024, 714, 1077, 8835, 46992, 82, 1438, 432, 1495, 4647, 553, 4647, 382, 10048, 2900, 582, 5426, 264, 71710, 30549, 1614, 323, 432, 12440, 55878, 279, 897, 220, 16, 382, 4416, 429, 3363, 279, 19149, 897, 315, 379, 1035, 387, 12128, 311, 220, 16, 382, 641, 419, 1142, 11, 279, 2086, 4647, 304, 279, 71710, 30549, 2783, 729, 9044, 220, 15, 320, 16, 12034, 284, 220, 16, 12, 16, 284, 220, 15, 3593, 785, 1156, 4647, 1035, 387, 10452, 88, 353, 1487, 7, 1082, 8861, 291, 11730, 220, 16, 90414, 47326, 16, 8, 284, 3968, 15, 320, 3347, 1465, 692, 12549, 279, 897, 374, 3265, 311, 220, 16, 11, 8916, 279, 2783, 729, 1035, 12564, 264, 3347, 1465, 13, 28634, 279, 1487, 323, 481, 839, 4771, 2661, 3685, 382, 7981, 19149, 897, 572, 4396, 323, 8916, 432, 3643, 5530, 369, 279, 1465, 311, 387, 3347, 382, 641, 1142, 1030, 1039, 1614, 19149, 220, 15, 4518, 315, 220, 16, 11, 432, 1035, 614, 6069, 311, 264, 5080, 1465, 2474, 279, 1487, 729, 369, 458, 1946, 897, 12128, 311, 220, 15, 1035, 1281, 1039, 1465, 74151, 1550, 382, 88, 353, 1487, 7, 1082, 8861, 291, 11730, 220, 16, 90414, 47326, 15, 8, 284, 4102, 12, 8835, 144879, 12176, 320, 11892, 1465, 692, 29369, 36952, 374, 264, 14762, 315, 59823, 279, 14324, 315, 821, 3501, 3118, 389, 279, 2783, 729, 13, 2835, 39838, 2783, 729, 374, 16588, 518, 1817, 1946, 59524, 821, 1459, 382, 6667, 1205, 1896, 264, 7130, 31805, 448, 5091, 311, 15470, 323, 4680, 311, 1477, 279, 30232, 315, 279, 2783, 729, 518, 1449, 1459, 624, 6667, 53107, 36952, 1221, 8837, 279, 2750, 15470, 323, 4680, 2750, 3118, 389, 30232, 13, 1096, 374, 458, 86875, 1882, 624, 6667, 576, 25687, 525, 2814, 3080, 279, 20169, 36952, 24491, 279, 8028, 2783, 13, 576, 4379, 518, 892, 279, 20169, 36952, 24491, 279, 1308, 7523, 374, 2598, 279, 6832, 4379, 382, 13859, 26943, 374, 7565, 369, 20169, 36952, 311, 975, 29720, 13, 1205, 4190, 498, 3960, 20169, 36952, 304, 7990, 13, 1446, 646, 8300, 311, 1039, 5010, 389, 20169, 36952, 421, 498, 6426, 311, 3960, 279, 6888, 4815, 432, 382, 565, 75098, 1095, 279, 1614, 271, 12522, 582, 5426, 279, 1614, 432, 374, 5871, 311, 15442, 1246, 13382, 1039, 1614, 2167, 374, 13, 2619, 525, 5257, 16460, 16734, 369, 419, 7428, 382, 6667, 50175, 481, 1084, 10868, 279, 1372, 315, 4396, 19898, 5193, 2790, 1372, 315, 19898, 624, 6667, 97826, 362, 5459, 5456, 4102, 275, 13352, 369, 50952, 35133, 15633, 4532, 53677, 13, 576, 3082, 1212, 279, 97826, 362, 5459, 15655, 16555, 279, 5025, 1948, 279, 830, 6785, 4379, 320, 45358, 315, 10469, 429, 1033, 12440, 19149, 32052, 311, 279, 4396, 536, 8, 323, 279, 895, 6785, 4379, 320, 1782, 11341, 315, 10469, 369, 892, 582, 43347, 19149, 862, 536, 15871, 568, 4398, 3082, 1212, 279, 15655, 77764, 2664, 19898, 11, 16085, 264, 2664, 1614, 382, 565, 30813, 271, 1654, 8835, 46992, 654, 1191, 553, 49895, 279, 5871, 20186, 323, 279, 10337, 13, 5692, 374, 279, 4102, 21378, 785, 10337, 374, 911, 6625, 315, 264, 1985, 4566, 3590, 3687, 32689, 4796, 13, 5633, 3383, 518, 1424, 686, 387, 311, 7023, 421, 279, 1509, 572, 14733, 476, 537, 12831, 279, 2661, 4419, 382, 13874, 13874, 13874, 474, 8591, 438, 2595, 198, 474, 18617, 438, 7744, 198, 474, 16801, 23716, 438, 6516, 198, 1499, 17987, 3192, 23672, 1159, 5426, 4452, 17052, 198, 1499, 6888, 1159, 1343, 198, 9476, 83086, 1183, 17781, 70799, 2141, 1341, 284, 320, 16, 15, 11, 4102, 21, 692, 1040, 4102, 2201, 4532, 45200, 510, 750, 4102, 2120, 83, 30855, 1193, 982, 9476, 39840, 1193, 2196, 677, 16749, 4089, 656, 2196, 677, 47, 72250, 7368, 9476, 5460, 2822, 2, 27810, 279, 4862, 10337, 323, 1273, 10337, 198, 750, 4102, 36930, 1193, 982, 721, 4338, 7591, 11, 656, 4338, 4452, 11, 656, 2384, 7591, 11, 656, 2384, 4452, 284, 5426, 4452, 17052, 1193, 2196, 677, 16749, 4089, 656, 2196, 677, 47, 72250, 4089, 1273, 2368, 28, 15, 13, 17, 15, 11, 11463, 4387, 28, 16, 15, 692, 750, 4102, 30590, 1193, 982, 721, 4338, 7591, 5982, 656, 4338, 7591, 18711, 2822, 2, 6730, 311, 1281, 19898, 198, 750, 4102, 50, 52111, 1193, 11, 293, 15, 11, 293, 16, 12803, 5856, 982, 333, 856, 374, 2240, 510, 721, 4338, 4452, 33615, 721, 4338, 4452, 18711, 741, 689, 2595, 7234, 2561, 16, 608, 320, 16, 488, 1343, 4080, 16, 33279, 15, 488, 4102, 12, 16, 33279, 16, 23019, 593, 369, 600, 304, 656, 4338, 4452, 2546, 1503, 510, 689, 2595, 7234, 2561, 16, 608, 320, 16, 488, 1343, 4080, 16, 33279, 15, 488, 4102, 12, 16, 33279, 16, 23019, 593, 369, 600, 304, 856, 9604, 2, 6730, 311, 5426, 279, 1614, 198, 750, 4102, 839, 4532, 91144, 1193, 982, 2, 94312, 7332, 198, 721, 44657, 741, 65, 15, 284, 4102, 15, 198, 65, 16, 284, 4102, 15, 198, 43, 284, 4102, 15, 13, 15, 15, 16, 198, 46529, 284, 4102, 18, 15, 15, 271, 1958, 16342, 304, 2088, 7, 46529, 982, 88, 12830, 284, 656, 808, 52111, 1883, 15, 11, 293, 16, 21554, 4338, 7591, 340, 35, 880, 15, 284, 4102, 12, 17, 353, 2629, 1188, 721, 2384, 7591, 481, 379, 12830, 8, 353, 379, 12830, 353, 320, 16, 481, 379, 12830, 593, 4102, 671, 12741, 47158, 315, 4709, 3112, 83, 293, 15, 198, 35, 880, 16, 284, 4102, 12, 17, 353, 2629, 1193, 4338, 7591, 353, 320, 721, 2384, 7591, 481, 379, 12830, 8, 353, 379, 12830, 353, 320, 16, 481, 379, 12830, 593, 4102, 671, 12741, 47158, 315, 4709, 3112, 83, 293, 16, 198, 2, 5549, 293, 15, 323, 293, 16, 198, 65, 15, 284, 293, 15, 481, 444, 353, 422, 880, 15, 198, 65, 16, 284, 293, 16, 481, 444, 353, 422, 880, 16, 271, 689, 293, 15, 11, 293, 16, 271, 750, 4102, 45822, 1193, 1154, 379, 12830, 982, 32729, 28, 15, 198, 1958, 600, 304, 2088, 6901, 7021, 12830, 9957, 333, 379, 12830, 989, 60, 621, 656, 2384, 4452, 31968, 989, 10343, 32729, 1421, 4102, 16, 198, 1350, 955, 1, 45822, 284, 4102, 90, 32729, 608, 2422, 7021, 12830, 9139, 5130, 750, 4102, 25605, 5287, 1193, 7358, 12830, 982, 9476, 94256, 741, 9476, 39840, 1193, 4338, 4452, 11, 656, 2384, 4452, 340, 9476, 39840, 1193, 4338, 4452, 11, 379, 12830, 11, 272, 428, 1151, 1138, 9476, 5460, 2822, 750, 4102, 34698, 269, 1193, 12803, 982, 87, 284, 508, 16, 421, 281, 2604, 4102, 15, 13, 20, 770, 4102, 15, 369, 281, 304, 856, 921, 689, 856, 271, 5050, 5047, 284, 78068, 45200, 2822, 5050, 5047, 1069, 4832, 30855, 2822, 5050, 5047, 8240, 2056, 2822, 65, 15, 8402, 16, 28, 5050, 5047, 1665, 4532, 91144, 2822, 88, 12830, 284, 3017, 5047, 808, 52111, 1883, 15, 8402, 16, 692, 88, 12830, 28, 5050, 5047, 23772, 269, 7021, 12830, 692, 5050, 5047, 1069, 9184, 5287, 7021, 12830, 692, 5050, 5047, 77538, 29384, 7021, 12830, 8, 13874, 13874, 13874, 271, 785, 13403, 315, 279, 1614, 374, 861, 23, 15, 34332, 16, 13, 3555, 374, 264, 64890, 729, 5267, 69599, 13, 576, 64890, 729, 374, 2661, 553, 220, 16, 608, 320, 220, 16, 488, 384, 9141, 873, 323, 1181, 2088, 374, 1948, 220, 15, 323, 220, 16, 382, 17, 13, 8429, 374, 71710, 30549, 2598, 264, 84093, 4532, 729, 5267, 69599, 13, 78068, 30549, 26885, 279, 18927, 315, 2550, 2661, 279, 1946, 4419, 13, 1205, 1221, 738, 264, 12171, 897, 311, 48129, 279, 18927, 19639, 382, 18, 13, 85148, 1045, 1931, 25843, 990, 5048, 315, 71710, 30549, 624, 69599, 13, 264, 13, 362, 6073, 646, 990, 264, 71710, 30549, 1614, 311, 7023, 421, 264, 6002, 1035, 1638, 389, 264, 11679, 198, 65, 13, 362, 71710, 30549, 1614, 646, 387, 16176, 311, 3291, 421, 264, 15394, 413, 374, 64209, 476, 537, 382, 565, 5309, 1896, 39590, 271, 641, 419, 5010, 11, 582, 614, 26364, 9761, 71710, 30549, 13, 11445, 35972, 25361, 11, 1181, 2783, 729, 11, 323, 1181, 3019, 14319, 29208, 10135, 8129, 13, 4354, 11, 2908, 419, 264, 5916, 1459, 13, 2619, 374, 2677, 3054, 369, 15673, 13, 1416, 498, 1366, 311, 26747, 697, 1790, 821, 8038, 7128, 11, 1779, 700, 1039, 4102, 32056, 6832, 13980, 57632, 553, 1039, 21564, 504, 30688, 3822, 323, 4958, 11647, 382, 32847, 20909, 24796, 20324, 7341, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2610, 525, 5692, 25, 5379, 29348, 92578, 271, 16635, 220, 17, 320, 50, 17, 8, 80577, 320, 1921, 16292, 40, 8, 220, 17, 17, 303, 5534, 220, 17, 15, 16, 17, 10357, 271, 16, 13, 320, 18395, 1736, 553, 5458, 1055, 4886, 4997, 340, 9454, 659, 425, 15560, 1246, 1521, 498, 653, 220, 23, 34594, 11843, 358, 2814, 220, 16, 8013, 79, 2075, 28, 15, 7257, 79, 2075, 28, 16, 7257, 79, 2075, 28, 17, 593, 1667, 274, 16, 9544, 316, 977, 5601, 13, 2806, 2704, 421, 600, 2776, 1290, 3498, 13, 358, 2684, 264, 2613, 897, 1075, 220, 15, 13, 15, 16, 374, 71, 198, 40, 1744, 600, 1521, 429, 432, 572, 264, 9544, 20855, 315, 320, 17, 15, 11, 220, 15, 13, 15, 20, 8, 323, 1221, 600, 1521, 7046, 1091, 476, 6144, 311, 220, 19, 892, 374, 220, 16, 481, 2686, 1091, 476, 6144, 311, 220, 18, 13, 4320, 944, 1414, 421, 429, 594, 1290, 3498, 382, 16, 8, 10612, 1372, 13823, 220, 15, 15, 15, 311, 220, 24, 24, 24, 271, 17, 8735, 12410, 11730, 16, 22, 18, 271, 18, 8, 393, 7644, 9922, 22, 8, 284, 220, 15, 13, 15, 21, 21, 19, 8131, 1091, 220, 15, 13, 15, 17, 20, 54906, 472, 15, 271, 19, 8, 600, 8, 9489, 198, 3808, 8, 220, 15, 13, 16, 16, 19, 198, 34594, 8, 220, 15, 13, 19, 17, 17, 198, 344, 8, 220, 15, 13, 17, 21, 23, 271, 20, 8, 220, 16, 13, 16, 16, 20, 18, 366, 220, 16, 13, 21, 19, 20, 54906, 472, 15, 271, 21, 8, 600, 8, 220, 15, 13, 15, 19, 19, 24, 198, 3808, 8, 220, 15, 13, 15, 19, 24, 19, 271, 22, 8, 14460, 8, 264, 28, 21, 320, 74, 28, 16, 14, 22, 17, 692, 34594, 8, 8735, 7644, 8, 284, 220, 16, 13, 18, 20, 271, 23, 8, 600, 8, 12617, 861, 18, 18, 13, 16, 198, 3808, 8, 3990, 358, 1465, 198, 34594, 8, 220, 15, 13, 15, 16, 20, 24, 1154, 3076, 537, 220, 18, 15, 1576, 18927, 773, 2613, 198, 344, 8, 3076, 374, 220, 18, 18, 13, 20, 23, 271, 8610, 11303, 7598, 5267, 18, 13, 320, 18395, 1736, 553, 20072, 579, 15, 88, 692, 16, 8, 10612, 1372, 13823, 220, 15, 15, 15, 311, 220, 24, 24, 24, 271, 17, 8735, 12410, 2257, 11730, 16, 22, 18, 358, 1744, 498, 3076, 8735, 12410, 701, 537, 647, 3619, 382, 18, 8, 393, 7644, 9922, 22, 8, 284, 220, 15, 13, 15, 21, 21, 19, 8131, 1091, 220, 15, 13, 15, 17, 20, 54906, 472, 15, 271, 19, 8, 600, 8, 9489, 198, 3808, 8, 220, 15, 13, 16, 16, 19, 198, 34594, 8, 220, 15, 13, 19, 17, 17, 198, 344, 8, 220, 15, 13, 17, 21, 23, 271, 20, 8, 220, 16, 13, 16, 16, 20, 18, 366, 220, 16, 13, 21, 19, 20, 54906, 472, 15, 271, 21, 8, 600, 8, 220, 15, 13, 15, 19, 19, 24, 198, 3808, 8, 220, 15, 13, 15, 19, 24, 19, 271, 22, 8, 14460, 8, 264, 28, 21, 320, 74, 28, 16, 14, 22, 17, 692, 34594, 8, 8735, 7644, 8, 284, 220, 16, 13, 18, 20, 271, 23, 8, 600, 8, 12617, 861, 18, 18, 13, 16, 198, 3808, 8, 3990, 358, 1465, 198, 34594, 8, 220, 15, 13, 15, 16, 20, 24, 198, 344, 8, 3076, 374, 220, 18, 18, 13, 20, 23, 271, 8610, 11303, 7598, 5267, 40, 3003, 24547, 1657, 11253, 481, 1846, 429, 358, 6099, 11, 358, 7503, 448, 624, 19, 13, 320, 18395, 1736, 553, 28417, 42, 14136, 340, 40, 3003, 24547, 1657, 11253, 481, 1846, 429, 358, 6099, 11, 358, 7503, 448, 624, 23336, 11, 429, 594, 1128, 358, 3076, 198, 20, 13, 320, 18395, 1736, 553, 20072, 579, 15, 88, 692, 16, 8, 10612, 1372, 13823, 220, 15, 15, 15, 311, 220, 24, 24, 24, 271, 17, 8735, 12410, 2257, 11730, 16, 22, 18, 271, 18, 8, 393, 7644, 9922, 22, 8, 284, 220, 15, 13, 15, 21, 21, 19, 8131, 1091, 220, 15, 13, 15, 17, 20, 54906, 472, 15, 271, 19, 8, 600, 8, 9489, 198, 3808, 8, 220, 15, 13, 16, 16, 19, 198, 34594, 8, 220, 15, 13, 19, 17, 17, 198, 344, 8, 220, 15, 13, 17, 21, 23, 271, 20, 8, 220, 16, 13, 16, 16, 20, 18, 366, 220, 16, 13, 21, 19, 20, 54906, 472, 15, 271, 21, 8, 600, 8, 220, 15, 13, 15, 19, 19, 24, 198, 3808, 8, 220, 15, 13, 15, 19, 24, 19, 271, 22, 8, 14460, 8, 264, 28, 21, 320, 74, 28, 16, 14, 22, 17, 692, 34594, 8, 8735, 7644, 8, 284, 220, 16, 13, 18, 20, 271, 23, 8, 600, 8, 12617, 861, 18, 18, 13, 16, 198, 3808, 8, 3990, 358, 1465, 198, 34594, 8, 220, 15, 13, 15, 16, 20, 24, 198, 344, 8, 3076, 374, 220, 18, 18, 13, 20, 23, 271, 8610, 11303, 7598, 5267, 3830, 71959, 47284, 847, 11253, 11, 600, 1744, 432, 678, 5868, 1661, 624, 21, 13, 369, 220, 23, 8, 34594, 1326, 21468, 5489, 1414, 369, 2704, 3425, 498, 2299, 9966, 311, 2182, 429, 279, 3076, 374, 220, 18, 15, 476, 537, 220, 18, 15, 5267, 22, 13, 320, 18395, 1736, 553, 425, 86, 674, 340, 1958, 220, 23, 8, 34594, 1326, 21468, 5489, 1414, 369, 2704, 3425, 498, 2299, 9966, 311, 2182, 429, 279, 3076, 374, 220, 18, 15, 476, 537, 220, 18, 15, 5267, 23336, 11, 358, 2182, 1495, 432, 594, 537, 220, 18, 15, 1576, 279, 18927, 374, 773, 2613, 198, 23, 13, 3555, 1521, 1251, 1977, 369, 220, 22, 600, 86427, 40, 1513, 944, 1744, 358, 13302, 7037, 1602, 1632, 13, 1084, 594, 8789, 279, 4755, 448, 4244, 6398, 358, 3207, 944, 1075, 481, 1549, 220, 23, 34594, 8, 358, 2684, 220, 15, 13, 15, 16, 20, 20, 476, 2494, 11, 714, 358, 1053, 2474, 279, 18927, 374, 2613, 11, 432, 4658, 374, 220, 18, 15, 11, 892, 5780, 2348, 1128, 1429, 1251, 614, 1012, 5488, 549, 5894, 24, 13, 320, 18395, 1736, 553, 425, 65, 6210, 340, 3838, 1521, 1251, 1977, 369, 220, 22, 600, 86427, 40, 1513, 944, 1744, 358, 13302, 7037, 1602, 1632, 13, 1084, 594, 8789, 279, 4755, 448, 4244, 6398, 358, 3207, 944, 1075, 481, 1549, 220, 23, 34594, 8, 358, 2684, 220, 15, 13, 15, 16, 20, 20, 476, 2494, 11, 714, 358, 1053, 2474, 279, 18927, 374, 2613, 11, 432, 4658, 374, 220, 18, 15, 11, 892, 5780, 2348, 1128, 1429, 1251, 614, 1012, 5488, 549, 5894, 11212, 315, 1154, 5916, 504, 220, 15, 323, 13391, 518, 264, 624, 40, 28686, 429, 438, 1599, 4990, 21283, 12128, 311, 264, 11, 279, 18927, 315, 1599, 12703, 13, 1416, 21283, 315, 1599, 4399, 3685, 220, 15, 476, 3403, 264, 11, 279, 18927, 315, 1599, 374, 7168, 624, 16, 15, 13, 320, 18395, 1736, 553, 39548, 1592, 340, 3830, 71959, 47284, 847, 11253, 11, 600, 1744, 432, 678, 5868, 1661, 624, 318, 773, 29471, 88, 2928, 600, 6679, 311, 1477, 279, 4638, 15781, 5537, 369, 3405, 220, 18, 323, 1730, 856, 12, 16, 284, 22, 323, 1660, 752, 1053, 8962, 1324, 856, 28, 22, 323, 17551, 305, 15, 549, 14, 659, 220, 18, 1868, 778, 8048, 68, 13, 30138, 624, 26865, 600, 2684, 220, 21, 23, 476, 220, 21, 22, 504, 279, 5868, 315, 3166, 778, 496, 714, 98577, 69370, 1865, 1045, 1602, 29471, 20643, 549, 5894, 16, 16, 13, 2980, 498, 9052, 15423, 369, 7086, 264, 7046, 8381, 315, 13403, 1091, 220, 18, 5089, 12396, 5267, 16, 17, 13, 320, 18395, 1736, 553, 18939, 21, 24, 17, 21, 24, 17, 340, 6713, 498, 9052, 15423, 369, 7086, 264, 7046, 8381, 315, 13403, 1091, 220, 18, 5089, 12396, 5267, 641, 4586, 11, 902, 11, 438, 1293, 438, 697, 4226, 19531, 311, 279, 4226, 2661, 304, 279, 1868, 12859, 11, 476, 17066, 304, 264, 2088, 2661, 304, 279, 1868, 12859, 624, 16, 18, 13, 320, 18395, 1736, 553, 28417, 42, 14136, 340, 641, 4586, 11, 902, 11, 438, 1293, 438, 697, 4226, 19531, 311, 279, 4226, 2661, 304, 279, 1868, 12859, 11, 476, 17066, 304, 264, 2088, 2661, 304, 279, 1868, 12859, 624, 13060, 9886, 369, 429, 11, 358, 5990, 2968, 1105, 311, 803, 549, 47, 198, 16, 19, 13, 320, 18395, 1736, 553, 18939, 21, 24, 17, 21, 24, 17, 340, 13060, 9886, 369, 429, 11, 358, 5990, 2968, 1105, 311, 803, 549, 47, 198, 23336, 11, 358, 6551, 1657, 315, 10485, 3351, 311, 220, 19, 82, 3848, 11, 438, 304, 13142, 1868, 30856, 1052, 3545, 8376, 311, 387, 3040, 12122, 7482, 304, 279, 4226, 624, 16, 20, 13, 320, 18395, 1736, 553, 20072, 579, 15, 88, 692, 16, 8, 10612, 1372, 13823, 220, 15, 15, 15, 311, 220, 24, 24, 24, 271, 17, 8735, 12410, 2257, 11730, 16, 22, 18, 271, 18, 8, 393, 7644, 9922, 22, 8, 284, 220, 15, 13, 15, 21, 21, 19, 8131, 1091, 220, 15, 13, 15, 17, 20, 54906, 472, 15, 271, 19, 8, 600, 8, 9489, 198, 3808, 8, 220, 15, 13, 16, 16, 19, 198, 34594, 8, 220, 15, 13, 19, 17, 17, 198, 344, 8, 220, 15, 13, 17, 21, 23, 271, 20, 8, 220, 16, 13, 16, 16, 20, 18, 366, 220, 16, 13, 21, 19, 20, 54906, 472, 15, 271, 21, 8, 600, 8, 220, 15, 13, 15, 19, 19, 24, 198, 3808, 8, 220, 15, 13, 15, 19, 24, 19, 271, 22, 8, 14460, 8, 264, 28, 21, 320, 74, 28, 16, 14, 22, 17, 692, 34594, 8, 8735, 7644, 8, 284, 220, 16, 13, 18, 20, 271, 23, 8, 600, 8, 12617, 861, 18, 18, 13, 16, 198, 3808, 8, 3990, 358, 1465, 198, 34594, 8, 220, 15, 13, 15, 16, 20, 24, 1154, 3076, 537, 220, 18, 15, 1576, 18927, 773, 2613, 198, 344, 8, 3076, 374, 220, 18, 18, 13, 20, 23, 271, 8610, 11303, 7598, 5267, 34964, 4396, 11, 1632, 2814, 382, 19920, 498, 3003, 13628, 700, 1447, 16, 13, 14656, 311, 6286, 220, 16, 20, 4911, 5109, 382, 17, 13, 320, 72, 8, 1265, 387, 8735, 12410, 701, 714, 498, 8270, 944, 9052, 264, 1868, 198, 30734, 8, 330, 1654, 1513, 944, 1414, 279, 7982, 315, 647, 5123, 330, 77, 29, 18, 15, 773, 6976, 51, 16790, 1837, 21, 13, 320, 72, 8, 18437, 56204, 374, 14452, 438, 2595, 323, 308, 80, 2176, 12488, 220, 20, 382, 22, 13, 320, 72, 8, 6785, 79151, 4771, 1948, 856, 28, 15, 323, 856, 24239, 2087, 1526, 320, 15, 11, 15, 8, 323, 537, 32359, 3685, 856, 28, 15, 476, 3403, 856, 24239, 13, 5005, 2494, 3156, 279, 5128, 315, 330, 55, 646, 1896, 894, 897, 1948, 220, 15, 609, 264, 320, 8088, 537, 2670, 220, 15, 568, 1599, 374, 803, 4363, 311, 1896, 2750, 12128, 311, 264, 1091, 311, 220, 15, 10040, 16, 21, 13, 320, 18395, 1736, 553, 4392, 386, 320, 58913, 1171, 34964, 4396, 11, 1632, 2814, 382, 19920, 498, 3003, 13628, 700, 1447, 16, 13, 14656, 311, 6286, 220, 16, 20, 4911, 5109, 382, 17, 13, 320, 72, 8, 1265, 387, 8735, 12410, 701, 714, 498, 8270, 944, 9052, 264, 1868, 198, 30734, 8, 330, 1654, 1513, 944, 1414, 279, 7982, 315, 647, 5123, 330, 77, 29, 18, 15, 773, 6976, 51, 16790, 1837, 21, 13, 320, 72, 8, 18437, 56204, 374, 14452, 438, 2595, 323, 308, 80, 2176, 12488, 220, 20, 382, 22, 13, 320, 72, 8, 6785, 79151, 4771, 1948, 856, 28, 15, 323, 856, 24239, 2087, 1526, 320, 15, 11, 15, 8, 323, 537, 32359, 3685, 856, 28, 15, 476, 3403, 856, 24239, 13, 5005, 2494, 3156, 279, 5128, 315, 330, 55, 646, 1896, 894, 897, 1948, 220, 15, 609, 264, 320, 8088, 537, 2670, 220, 15, 568, 1599, 374, 803, 4363, 311, 1896, 2750, 12128, 311, 264, 1091, 311, 220, 15, 10040, 39814, 398, 3405, 220, 18, 481, 432, 572, 264, 220, 16, 9787, 1273, 438, 432, 1053, 364, 2271, 518, 279, 220, 20, 4, 8366, 2188, 429, 279, 3920, 374, 4396, 29636, 40, 1414, 432, 3171, 944, 7802, 279, 8084, 1102, 320, 40, 10067, 419, 8, 714, 498, 9052, 220, 17, 15423, 369, 3730, 432, 438, 264, 220, 17, 9787, 4751, 1091, 220, 16, 9787, 5267, 16, 22, 13, 320, 18395, 1736, 553, 4392, 386, 320, 58913, 1171, 34964, 4396, 11, 1632, 2814, 382, 19920, 498, 3003, 13628, 700, 1447, 16, 13, 14656, 311, 6286, 220, 16, 20, 4911, 5109, 382, 17, 13, 320, 72, 8, 1265, 387, 8735, 12410, 701, 714, 498, 8270, 944, 9052, 264, 1868, 198, 30734, 8, 330, 1654, 1513, 944, 1414, 279, 7982, 315, 647, 5123, 330, 77, 29, 18, 15, 773, 6976, 51, 16790, 1837, 21, 13, 320, 72, 8, 18437, 56204, 374, 14452, 438, 2595, 323, 308, 80, 2176, 12488, 220, 20, 382, 22, 13, 320, 72, 8, 6785, 79151, 4771, 1948, 856, 28, 15, 323, 856, 24239, 2087, 1526, 320, 15, 11, 15, 8, 323, 537, 32359, 3685, 856, 28, 15, 476, 3403, 856, 24239, 13, 5005, 2494, 3156, 279, 5128, 315, 330, 55, 646, 1896, 894, 897, 1948, 220, 15, 609, 264, 320, 8088, 537, 2670, 220, 15, 568, 1599, 374, 803, 4363, 311, 1896, 2750, 12128, 311, 264, 1091, 311, 220, 15, 10040, 23336, 11, 9339, 11, 358, 1101, 3207, 944, 614, 279, 882, 311, 3270, 678, 279, 3403, 714, 2684, 432, 678, 0, 11114, 4894, 16, 23, 13, 320, 18395, 1736, 553, 28417, 42, 14136, 340, 23336, 11, 358, 6551, 1657, 315, 10485, 3351, 311, 220, 19, 82, 3848, 11, 438, 304, 13142, 1868, 30856, 1052, 3545, 8376, 311, 387, 3040, 12122, 7482, 304, 279, 4226, 624, 2082, 2152, 7024, 398, 369, 1045, 2874, 358, 6551, 279, 1590, 825, 311, 220, 18, 82, 3848, 3498, 549, 14, 358, 55025, 653, 429, 304, 10472, 50347, 16, 24, 13, 434, 8485, 11, 7691, 944, 614, 17019, 458, 8661, 5567, 323, 358, 2058, 8975, 311, 296, 1942, 432, 705, 26, 5558, 264, 1661, 220, 16, 15, 15423, 518, 279, 3245, 13, 8325, 11, 518, 3245, 432, 3278, 16792, 6974, 12678, 279, 11972, 22711, 1495, 320, 1694, 8820, 81702, 897, 8, 369, 678, 315, 498, 11658, 624, 17, 15, 13, 320, 18395, 1736, 553, 18939, 21, 24, 17, 21, 24, 17, 340, 2082, 2152, 7024, 398, 369, 1045, 2874, 358, 6551, 279, 1590, 825, 311, 220, 18, 82, 3848, 3498, 549, 14, 358, 55025, 653, 429, 304, 10472, 50347, 40, 7009, 1521, 429, 2238, 11, 8975, 311, 1490, 429, 1290, 518, 279, 835, 979, 358, 572, 13295, 549, 47, 271, 16196, 25, 6156, 220, 16, 19, 11, 220, 17, 15, 16, 17, 198, 9951, 49, 9186, 7909, 271, 1654, 614, 264, 19752, 2083, 315, 803, 1091, 220, 21, 15, 9186, 7909, 3613, 3330, 1283, 20333, 389, 576, 11726, 10420, 11, 10476, 311, 1281, 432, 264, 2464, 11, 6092, 323, 5390, 1992, 311, 14678, 700, 382, 1986, 11848, 374, 7248, 553, 510, 15364, 389, 74671, 271, 623, 1942, 369, 2513, 311, 653, 419, 7324, 1939, 28851, 323, 633, 1045, 19760, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 851, 803, 46534, 198, 37155, 311, 38424, 448, 356, 5519, 5519, 271, 2, 15762, 36625, 97897, 50, 4613, 28338, 311, 38424, 448, 356, 5519, 5519, 220, 17, 303, 14069, 271, 6667, 220, 21, 21, 15, 3019, 14319, 29208, 9904, 198, 6667, 328, 8731, 553, 35617, 11, 44624, 609, 11647, 198, 6667, 16048, 11, 8514, 11, 609, 3482, 198, 1918, 220, 24, 15, 4, 315, 4143, 879, 990, 8436, 14398, 19173, 1895, 2664, 27611, 624, 17, 15, 16, 18, 8436, 14398, 82713, 11479, 23591, 198, 82725, 97897, 198, 25020, 25, 22079, 510, 6667, 14822, 220, 16, 315, 220, 18, 271, 2507, 323, 12564, 279, 2629, 323, 5461, 315, 5109, 271, 10690, 3119, 1447, 6667, 4248, 3425, 279, 7546, 5109, 525, 6785, 476, 8225, 382, 6667, 1416, 279, 7546, 1372, 374, 6785, 11, 16252, 279, 6785, 1372, 1760, 26, 5937, 11, 16252, 279, 8225, 1372, 1760, 382, 6667, 20517, 279, 2629, 315, 5109, 382, 6667, 20517, 279, 5461, 315, 5109, 382, 6667, 10623, 279, 6785, 1372, 1760, 11, 279, 8225, 1372, 1760, 11, 279, 2629, 315, 5109, 11, 323, 279, 5461, 315, 5109, 382, 6667, 14822, 220, 17, 315, 220, 18, 271, 10690, 1447, 66159, 56177, 9, 1986, 2025, 31116, 1246, 311, 8253, 279, 1372, 315, 353, 353, 30487, 323, 8225, 5109, 10636, 11, 323, 1083, 311, 353, 353, 27706, 279, 2629, 323, 5461, 315, 5109, 13, 19799, 53147, 57944, 1067, 271, 970, 4473, 1460, 401, 322, 5152, 1887, 271, 396, 1887, 2822, 4257, 322, 78455, 279, 7332, 271, 396, 1372, 401, 396, 2629, 28, 15, 401, 396, 1760, 28, 15, 401, 396, 6785, 28, 15, 10128, 15060, 28, 15, 401, 4331, 41638, 28, 15, 401, 6104, 7753, 2507, 287, 279, 6785, 323, 8225, 5109, 323, 24231, 279, 5461, 315, 5109, 69034, 5336, 2442, 5336, 401, 4418, 279, 1946, 897, 369, 3369, 4082, 40254, 6104, 7753, 6269, 279, 7546, 897, 11, 279, 2025, 42086, 421, 279, 1946, 374, 220, 15, 25, 41620, 18103, 2452, 4082, 401, 1986, 949, 315, 279, 10822, 374, 1483, 311, 1760, 279, 6785, 323, 8225, 5109, 11, 323, 311, 11047, 279, 2629, 323, 5461, 315, 5109, 382, 322, 14620, 51435, 3080, 279, 2971, 11508, 311, 895, 271, 3472, 17918, 5824, 15, 692, 4257, 3973, 3425, 279, 1372, 374, 6785, 476, 8225, 382, 1057, 785, 421, 2971, 12341, 3425, 279, 1372, 374, 7046, 1091, 220, 15, 13, 1416, 9834, 11, 1221, 432, 61600, 279, 6785, 1372, 1760, 26, 5937, 11, 432, 61600, 279, 8225, 1372, 1760, 13, 6211, 333, 17918, 29, 15, 692, 4257, 30487, 21613, 630, 1503, 271, 4257, 42224, 21613, 630, 47866, 279, 2629, 315, 5109, 382, 1242, 8496, 4082, 401, 2507, 279, 2790, 1372, 315, 11127, 382, 322, 38311, 279, 1760, 3890, 271, 1830, 21613, 18103, 2452, 4082, 401, 630, 47866, 279, 5461, 315, 5109, 382, 322, 47866, 279, 5461, 271, 523, 4539, 4331, 8, 1242, 81043, 401, 7020, 279, 3059, 382, 322, 8994, 279, 1102, 271, 6104, 7753, 7595, 5109, 315, 11127, 25, 14717, 1830, 2442, 5336, 401, 6104, 7753, 785, 1372, 315, 63656, 374, 25, 14717, 30487, 2442, 5336, 401, 6104, 7753, 785, 1372, 315, 74085, 374, 25, 14717, 42224, 2442, 5336, 401, 6104, 7753, 785, 2629, 374, 25, 14717, 1242, 2442, 5336, 401, 6104, 7753, 785, 5461, 374, 25, 14717, 523, 2442, 5336, 401, 322, 28391, 279, 1849, 271, 8948, 445, 27448, 3071, 322, 5598, 279, 897, 271, 689, 220, 15, 401, 630, 6667, 14822, 220, 18, 315, 220, 18, 271, 5097, 1447, 2507, 287, 279, 6785, 323, 8225, 5109, 11, 323, 24231, 279, 5461, 315, 5109, 1447, 6269, 279, 7546, 897, 11, 279, 2025, 42086, 421, 279, 1946, 374, 220, 15, 25, 220, 16, 1365, 20, 220, 23, 1365, 17, 220, 19, 220, 21, 220, 18, 220, 15, 271, 7595, 5109, 315, 11127, 25, 220, 22, 271, 785, 1372, 315, 63656, 374, 25, 220, 20, 271, 785, 1372, 315, 74085, 374, 25, 220, 17, 271, 785, 2629, 374, 25, 220, 16, 20, 271, 785, 5461, 374, 25, 220, 17, 13, 16, 19, 17, 23, 21, 271, 10580, 6818, 287, 2918, 2190, 271, 37155, 311, 38424, 448, 356, 5519, 5519, 760, 220, 17, 303, 14069, 198, 24, 22, 23, 15, 16, 18, 21, 15, 24, 22, 17, 15, 19, 45185, 12, 16, 18, 25, 220, 15, 16, 18, 21, 15, 24, 22, 17, 15, 15, 45185, 25, 809, 15118, 14511, 524, 57890, 25 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2364, 509, 1950, 85406, 11, 29199, 509, 1950, 70622, 11, 29199, 509, 1950, 14468, 11, 6364, 10997, 7271, 315, 29199, 509, 1950, 13, 353, 576, 2326, 35294, 320, 3145, 20590, 8, 315, 264, 21495, 31796, 518, 825, 1459, 320, 546, 34035, 518, 264, 1459, 701, 2598, 279, 29199, 509, 39897, 315, 279, 21495, 13, 23682, 3906, 315, 264, 38031, 11, 19709, 609, 13383, 11, 42797, 576, 31110, 509, 1950, 11, 6381, 1070, 10083, 609, 56647, 810, 38031, 481, 21045, 25, 220, 16, 16, 25, 16, 20, 13, 1084, 1172, 4990, 264, 9383, 311, 1841, 705, 13, 14468, 323, 7271, 330, 2364, 509, 1950, 497, 6364, 12009, 28689, 10466, 2860, 13, 5692, 525, 2326, 2989, 279, 460, 1011, 15860, 58119, 11, 29199, 509, 1950, 11, 323, 10198, 3057, 315, 264, 21495, 13, 1096, 374, 949, 315, 279, 4013, 315, 7999, 389, 279, 460, 1011, 304, 14246, 2906, 17047, 7763, 36081, 315, 279, 279, 460, 1011, 323, 3766, 5322, 686, 387, 3897, 304, 279, 1790, 2421, 7999, 13, 576, 1555, 10238, 3880, 311, 31796, 1459, 356, 323, 1352, 264, 1290, 9210, 320, 24, 15, 12348, 8, 448, 279, 330, 27051, 403, 287, 1555, 1, 315, 279, 3108, 14137, 49947, 4054, 315, 330, 23362, 287, 1555, 25, 576, 12613, 1555, 315, 264, 3654, 10238, 374, 279, 1555, 576, 29199, 509, 1950, 374, 825, 315, 279, 21495, 594, 3501, 315, 78010, 14122, 553, 279, 19246, 315, 279, 21495, 594, 220, 18, 4797, 20590, 496, 31110, 509, 1950, 36028, 374, 264, 1910, 2860, 5392, 429, 18689, 279, 19246, 315, 279, 2326, 4797, 20590, 315, 264, 21495, 13, 1096, 17047, 2766, 21514, 14758, 1246, 311, 10542, 279, 3728, 315, 279, 304, 3057, 11, 10198, 3057, 11, 29199, 509, 1950, 323, 58119, 315, 264, 21495, 13, 1096, 1555, 8482, 279, 14002, 3108, 374, 2598, 279, 11577, 2331, 315, 279, 35858, 13, 1527, 35858, 374, 279, 1555, 76833, 504, 264, 2331, 429, 16211, 1526, 279, 14002, 11936, 13, 576, 4126, 315, 279, 3625, 7074, 374, 2598, 279, 304, 3057, 11, 323, 279, 10578, 315, 279, 12671, 374, 2598, 279, 304, 26715, 496, 576, 21495, 374, 825, 315, 279, 1429, 6770, 52484, 20816, 13, 31110, 509, 1950, 315, 264, 38031, 758, 17047, 11, 582, 3960, 911, 2155, 20816, 323, 12396, 13, 19709, 315, 279, 31110, 509, 1950, 315, 264, 38031, 13, 31110, 509, 1950, 315, 264, 38031, 13, 7379, 279, 13934, 315, 1782, 29199, 509, 1950, 315, 419, 21495, 13, 9322, 315, 279, 1899, 13, 1096, 374, 264, 4925, 315, 1931, 5775, 478, 429, 279, 2097, 315, 279, 78010, 315, 4797, 20590, 374, 537, 9733, 304, 2987, 21963, 75044, 594, 34157, 476, 17420, 42322, 315, 279, 17860, 30739, 13, 17116, 13, 49795, 14284, 18705, 374, 264, 3405, 323, 4226, 2747, 369, 1251, 20956, 6888, 518, 894, 2188, 323, 15387, 304, 5435, 5043, 13, 2014, 4139, 1910, 3920, 7236, 1075, 20059, 3399, 22676, 11, 26795, 18068, 11, 19143, 44131, 323, 8751, 44131, 311, 1492, 498, 311, 5456, 803, 15423, 304, 697, 39686, 13, 14822, 220, 16, 549, 4848, 7074, 13, 758, 17047, 11, 458, 35858, 315, 264, 21495, 374, 264, 1555, 10238, 1526, 264, 11936, 323, 76833, 311, 320, 72, 1734, 2572, 29064, 264, 1290, 9210, 448, 8, 264, 1555, 8482, 279, 2331, 320, 1782, 3108, 14002, 279, 11936, 568, 576, 29199, 509, 1950, 315, 264, 21495, 374, 279, 1459, 1380, 279, 76833, 14764, 504, 279, 17228, 311, 279, 14002, 11067, 315, 279, 21495, 31796, 1817, 1008, 13, 37103, 504, 264, 11936, 429, 374, 76833, 311, 279, 14002, 3108, 476, 1555, 8482, 279, 3995, 13, 31110, 509, 1950, 315, 264, 38031, 320, 10398, 11, 2585, 311, 7379, 11, 8354, 11, 609, 25311, 8, 576, 29199, 509, 1950, 315, 264, 21495, 11, 476, 279, 19246, 315, 279, 21495, 594, 4797, 20590, 11, 374, 537, 2494, 429, 4041, 705, 304, 16334, 10435, 13, 13699, 220, 16, 24, 339, 9294, 13, 18614, 29199, 509, 1950, 13, 576, 18405, 315, 279, 1156, 11064, 374, 2058, 458, 1787, 3405, 26, 432, 374, 11585, 11, 3498, 11, 429, 1496, 279, 2244, 93216, 5485, 432, 5871, 311, 12118, 279, 2097, 13, 5692, 26107, 59, 1318, 90, 41339, 284, 43173, 284, 31867, 92, 14085, 11, 1493, 525, 279, 11900, 72, 315, 279, 12671, 13, 1581, 6132, 448, 29199, 509, 306, 388, 11, 387, 389, 1550, 5115, 11, 2474, 582, 2299, 14550, 448, 16184, 4771, 287, 11, 46876, 11, 323, 17047, 11, 678, 4593, 220, 17, 13, 42704, 4149, 448, 279, 17473, 362, 13, 358, 1734, 2572, 279, 2326, 35294, 315, 264, 21495, 525, 3931, 304, 279, 29199, 509, 1950, 13, 1084, 7735, 4756, 504, 279, 6722, 6524, 472, 6524, 13, 10967, 678, 2326, 5128, 31796, 374, 279, 330, 2364, 509, 1950, 788, 6771, 594, 3960, 1493, 825, 553, 825, 13, 29064, 264, 1290, 9210, 448, 8, 264, 1555, 8482, 279, 2331, 320, 1782, 14002, 3108, 315, 279, 21495, 568, 576, 42937, 41746, 80619, 220, 19, 11, 24, 22, 19, 41746, 13, 31110, 509, 1950, 3171, 1405, 1184, 311, 10246, 4766, 279, 21495, 1172, 11, 304, 1142, 315, 458, 4514, 810, 21495, 11, 432, 15448, 4889, 315, 279, 21495, 13, 431, 8479, 13, 2503, 12741, 2249, 279, 293, 658, 1168, 2216, 13934, 315, 264, 21495, 594, 29199, 509, 1950, 11, 1667, 279, 525, 278, 7271, 315, 1741, 13934, 13, 758, 1290, 21495, 11, 29199, 509, 1950, 374, 7407, 389, 279, 21495, 13, 7036, 25, 576, 29199, 509, 1950, 594, 13885, 374, 264, 35647, 28674, 315, 279, 52933, 263, 23375, 2319, 356, 73418, 594, 576, 13173, 26, 4764, 11, 279, 2701, 11064, 11, 4152, 311, 20932, 18703, 80018, 11, 374, 1753, 803, 27699, 11, 42987, 1095, 323, 69062, 496, 31110, 509, 1950, 30822, 481, 14934, 1246, 311, 11047, 279, 29199, 509, 1950, 315, 264, 21495, 553, 1667, 29199, 509, 1950, 14806, 10030, 553, 6203, 13336, 518, 74787, 91306, 905, 13, 3496, 17473, 609, 10295, 13, 576, 10198, 3057, 315, 264, 21495, 374, 279, 4126, 315, 264, 12671, 892, 4225, 6237, 55136, 279, 21495, 496, 320, 2034, 29199, 509, 1950, 8, 86915, 46310, 2503, 274, 145274, 406, 98538, 14, 36921, 38918, 659, 525, 362, 320, 15, 11, 220, 15, 701, 451, 320, 21, 11, 220, 15, 701, 323, 422, 320, 4142, 17, 11, 220, 23, 568, 18678, 287, 31110, 509, 1950, 315, 264, 38031, 481, 39861, 13, 4220, 2326, 4797, 20590, 525, 2677, 34035, 5337, 1008, 11, 279, 2326, 4797, 20590, 678, 1969, 31796, 518, 264, 3175, 1459, 1154, 323, 582, 1618, 419, 1459, 279, 29199, 509, 1950, 315, 279, 21495, 13, 1084, 702, 3807, 2989, 5888, 323, 4300, 448, 1008, 5479, 315, 279, 21495, 11, 2670, 1181, 10198, 3057, 11, 304, 3057, 11, 3082, 11, 323, 803, 13, 758, 17047, 11, 458, 35858, 315, 264, 21495, 374, 264, 7678, 1555, 1526, 264, 11936, 323, 76833, 311, 320, 72, 1734, 13, 23682, 3906, 304, 264, 21495, 374, 264, 14840, 1256, 5128, 369, 220, 18, 25941, 304, 264, 21495, 13, 1527, 3625, 7074, 374, 458, 1640, 17433, 12671, 315, 264, 29372, 11, 600, 1734, 2572, 264, 12671, 429, 374, 68660, 311, 1817, 315, 279, 29372, 594, 11067, 13, 576, 5719, 1577, 374, 279, 1459, 315, 78010, 315, 279, 1774, 5380, 315, 264, 21495, 13, 16338, 372, 3057, 13, 14513, 4797, 20590, 31796, 287, 518, 279, 29199, 509, 1950, 13, 1527, 35858, 374, 279, 76833, 10238, 504, 264, 11936, 311, 1181, 14002, 3108, 13, 38918, 10466, 13, 31110, 509, 1950, 7271, 374, 481, 279, 4185, 19246, 315, 279, 2326, 4797, 20590, 315, 264, 21495, 476, 862, 19721, 476, 315, 279, 3807, 4797, 20590, 315, 264, 9861, 41009, 2248, 3897, 1493, 15271, 3000, 323, 3367, 304, 264, 1459, 13, 362, 67986, 12108, 7071, 374, 264, 63062, 6083, 448, 3654, 5888, 11689, 4512, 369, 429, 3953, 6083, 13, 362, 1376, 949, 315, 6832, 374, 7842, 311, 697, 34918, 13, 31110, 509, 1950, 11992, 264, 1555, 10238, 320, 43882, 279, 330, 98011, 899, 518, 1290, 25941, 311, 264, 3108, 429, 5780, 311, 279, 14002, 9131, 13, 23848, 2624, 608, 435, 144528, 145231, 144936, 25655, 145231, 608, 36921, 13, 576, 10198, 3057, 11, 58119, 11, 323, 29199, 509, 1950, 525, 1083, 2989, 3501, 315, 264, 21495, 13, 31110, 509, 1950, 19709, 671, 641, 279, 13549, 11, 506, 28, 66537, 509, 1950, 4346, 8161, 11289, 8, 671, 576, 19246, 315, 279, 2326, 4797, 20590, 315, 279, 17228, 671, 315, 264, 21495, 6693, 17228, 525, 20725, 362, 11, 425, 11, 356, 671, 16085, 279, 19246, 315, 894, 1378, 315, 1105, 11, 1181, 13885, 374, 18651, 553, 279, 31110, 509, 1950, 15575, 576, 13173, 13, 59580, 13, 758, 4514, 810, 21495, 11, 29199, 509, 1950, 374, 4593, 1200, 15973, 374, 458, 9073, 3409, 311, 3960, 304, 17047, 13, 576, 29199, 509, 1950, 315, 458, 29783, 21495, 13, 16338, 372, 3057, 7271, 11, 279, 4126, 315, 264, 4225, 6237, 17433, 12671, 26, 429, 1459, 1380, 894, 1378, 76833, 14840, 10605, 315, 279, 11067, 315, 264, 29372, 1640, 17433, 304, 279, 12671, 31796, 13, 7710, 41, 52, 39602, 2860, 29199, 509, 1950, 29952, 5392, 3643, 279, 21937, 10596, 323, 432, 18689, 279, 29199, 509, 1950, 315, 264, 21495, 304, 264, 19419, 315, 6486, 13, 6771, 594, 1936, 279, 29199, 509, 1950, 315, 279, 19360, 21495, 304, 279, 1790, 906, 13, 5542, 29199, 78, 12, 488, 12261, 13, 2014, 9245, 29199, 509, 1950, 315, 264, 21495, 11, 582, 1969, 1184, 279, 2701, 23316, 13, 220, 16, 13, 576, 29199, 509, 1950, 374, 264, 4647, 429, 374, 1483, 23242, 2878, 279, 6891, 315, 279, 17047, 323, 19257, 311, 429, 1459, 315, 19246, 1380, 79767, 279, 2326, 4797, 20590, 315, 264, 21495, 13, 29199, 509, 1950, 320, 38498, 29199, 509, 306, 388, 873, 320, 17047, 873, 576, 19246, 315, 279, 2326, 5128, 429, 646, 387, 14764, 35512, 504, 279, 2326, 23462, 315, 264, 21495, 311, 264, 1459, 3156, 279, 14002, 3108, 1380, 1817, 1555, 88184, 429, 3108, 518, 264, 220, 24, 15, 8381, 9210, 26, 304, 458, 29783, 21495, 1154, 432, 374, 4766, 279, 21495, 26, 304, 458, 4514, 810, 21495, 1154, 432, 374, 4889, 279, 21495, 13, 758, 3057, 25, 10967, 264, 21495, 748, 2326, 9210, 14840, 10605, 31796, 320, 276, 9210, 14840, 1256, 374, 264, 18299, 429, 15104, 458, 9210, 304, 4279, 1215, 279, 304, 3057, 374, 279, 4126, 315, 264, 12671, 1640, 17433, 304, 320, 7633, 77, 4766, 8, 279, 21495, 13, 4695, 11, 1077, 601, 1490, 1246, 311, 9245, 279, 29199, 509, 1950, 315, 264, 21495, 13, 758, 37596, 11, 432, 3363, 264, 1459, 6094, 553, 2326, 476, 803, 5128, 13, 16338, 372, 3057, 220, 18, 13, 576, 31110, 509, 1950, 374, 279, 1459, 315, 78010, 315, 279, 4797, 20590, 11, 476, 35294, 11, 438, 807, 525, 16626, 2598, 13, 576, 19246, 315, 279, 11577, 2331, 323, 279, 35858, 374, 2598, 279, 4478, 315, 279, 35858, 13, 576, 29199, 509, 1950, 315, 264, 21495, 374, 279, 19246, 315, 279, 21495, 594, 2326, 4797, 20590, 13, 576, 4185, 1459, 315, 279, 76833, 14840, 10605, 315, 264, 21495, 425, 13, 31110, 509, 1950, 1084, 374, 279, 1459, 1380, 279, 2326, 330, 3145, 20590, 1, 315, 264, 21495, 3367, 323, 279, 29199, 509, 1950, 646, 387, 4766, 476, 4889, 315, 279, 21495, 13, 3616, 68551, 42584, 1256, 315, 264, 38031, 220, 17, 13, 36991, 315, 61809, 763, 13, 220, 16, 13, 1096, 17755, 23497, 389, 3501, 315, 78010, 304, 42446, 13, 576, 1459, 315, 19246, 315, 279, 2326, 76833, 82, 14764, 504, 279, 17228, 315, 264, 21495, 311, 279, 14002, 11067, 13, 31110, 509, 1950, 549, 31110, 509, 1950, 374, 458, 19246, 1459, 315, 220, 18, 4797, 20590, 315, 264, 21495, 13, 8354, 19709, 5719, 1577, 758, 3057, 16338, 372, 3057, 31110, 509, 1950, 44983, 13, 1416, 3040, 3501, 1352, 458, 29199, 509, 39409, 1849, 11, 1221, 1817, 315, 279, 3040, 3501, 374, 279, 29199, 509, 1950, 315, 279, 1008, 2326, 13, 31110, 509, 1950, 220, 19, 13, 3496, 803, 13, 20437, 4593, 38918, 10997, 374, 279, 1992, 1380, 582, 646, 1477, 7290, 11, 7271, 323, 16148, 4992, 369, 279, 52484, 3793, 892, 525, 1660, 3545, 1483, 553, 279, 4143, 1321, 535, 315, 279, 4143, 1477, 432, 5000, 311, 3535, 1045, 52484, 3793, 979, 807, 653, 279, 460, 1011, 323, 5322, 389, 38918, 13, 37243, 323, 40841, 320, 4142, 23, 11, 1365, 21, 8, 576, 29199, 509, 1950, 315, 264, 21495, 374, 279, 1459, 1380, 279, 2326, 4797, 20590, 315, 279, 21495, 31796, 13, 1527, 35858, 315, 264, 21495, 374, 76833, 311, 279, 14002, 3108, 13, 758, 17047, 11, 458, 29199, 509, 39409, 1849, 374, 264, 738, 315, 3040, 3501, 389, 264, 11031, 11, 825, 315, 892, 374, 279, 29199, 509, 1950, 315, 279, 21495, 14122, 553, 279, 1008, 2326, 496, 308, 13, 576, 1459, 315, 19246, 315, 279, 2326, 4797, 20590, 315, 264, 21495, 13, 1527, 330, 98011, 1, 374, 4302, 714, 264, 1555, 429, 5780, 1526, 264, 11936, 320, 73425, 1459, 8, 323, 374, 518, 1290, 25941, 311, 279, 14002, 3108, 13, 758, 29783, 21495, 11, 29199, 509, 1950, 374, 7407, 4766, 279, 21495, 13, 18678, 21495, 19360, 6693, 11067, 525, 14137, 284, 220, 21, 9961, 11, 18040, 284, 220, 19, 9961, 323, 10584, 284, 220, 20, 13, 20, 9961, 323, 24523, 1181, 29199, 509, 1950, 13, 31110, 509, 1950, 7271, 25, 279, 1459, 1380, 279, 2326, 4797, 20590, 315, 264, 21495, 31796, 760, 48103, 11, 70622, 11, 36693, 323, 10295, 6381, 1070, 1290, 609, 56647, 810, 21495, 481, 21045, 25, 220, 16, 16, 25, 16, 20, 279, 3995, 6888, 518, 894, 2188, 323, 15387, 304, 5435, 1934, 38031, 609, 671, 220, 18, 24, 2587, 274, 2326, 4797, 20590, 315, 279, 21495, 19709, 315, 1741, 13934, 1290, 21495, 11, 19709, 13383, 13, 28610, 87742, 11936, 21495, 481, 21045, 25, 220, 16, 16, 25, 16, 20, 279, 4185, 1459, 315, 19246, 315, 279, 6770, 13, 16659, 476, 1555, 8482, 279, 14002, 3108, 30822, 10030, 553, 6203, 13336, 518, 74787, 91306, 905, 220, 19, 9961, 24523, 1112, 60161, 311, 279, 14002, 3108, 476, 1555, 8482, 279, 3995, 80442, 284, 43173, 31867, 1112, 12911, 369, 1251, 20956, 6888, 518, 894, 2188, 323, 15387, 304, 5435, 1934, 40362, 306, 311, 1817, 315, 279, 21495, 31796, 364, 82, 29199, 509, 1950, 11, 323, 10198, 3057, 315, 21495, 1112, 576, 10198, 3057, 11, 29199, 509, 1950, 70622, 11, 29199, 509, 1950, 323, 58119, 315, 264, 21495, 11, 1493, 525, 279, 11900, 72, 315, 35858, 1112, 8713, 1083, 2989, 3501, 315, 78010, 315, 279, 35858, 11, 29783, 1290, 609, 56647, 810, 481, 0, 5351, 320, 279, 14002, 11067, 458, 1640, 17433, 12671, 315, 264, 21495, 671, 220, 18, 24, 2587, 274, 2326, 4797, 20590, 315, 21495, 0, 37103, 504, 264, 11936, 429, 374, 76833, 311, 279, 14002, 3108, 35294, 315, 264, 29372, 11, 600, 1734, 2572, 264, 892, 1112, 576, 35858, 323, 10584, 284, 220, 20, 13, 20, 9961, 323, 10584, 284, 220, 20, 13, 20, 9961, 323, 10584, 284, 220, 20, 13, 20, 9961, 24523, 13, 1084, 18689, 279, 19246, 315, 279, 3040, 3501, 1352, 458, 29199, 509, 39409, 1849, 11, 1221, 1817, 315, 279, 11577, 323, 1112, 6364, 10997, 19709, 315, 29199, 509, 1950, 1429, 6770, 52484, 20816, 304, 17047, 293, 658, 1168, 2216, 13934, 264, 35575, 19709, 315, 1741, 13934, 6203, 13336, 518, 74787, 91306, 905, 323, 4226, 2747, 1251, 0, 28610, 87742, 11067, 11, 1365, 21, 873, 279, 29199, 509, 1950, 11, 323, 10198, 3057, 315, 264, 21495, 1124, 320, 1124, 1318, 314, 284, 13, 320, 600, 1734, 11, 582, 1969, 1184, 279, 2701, 23316, 14468, 11, 6364, 10997, 19709, 315, 1741, 496, 364, 1210, 19709, 315, 279, 304, 3057, 11, 3082, 11, 323, 29199, 509, 1950, 525, 2989, 0, 9866, 315, 279, 12671, 10596, 323, 432, 18689, 279, 19246, 315, 279, 21495, 264, 1459, 6094, 2326, 13, 758, 5435, 5043, 2747, 369, 1251, 20956, 6888, 518, 894, 2188, 323, 15387, 5435, 0, 14934, 304, 17047, 476, 1555, 8482, 279, 14002, 11936, 807, 525, 16626, 2598, 220, 18, 4797, 20590, 264, 13, 11992, 264, 1555, 10238, 320, 2598, 279, 4478, 315, 279, 21495, 279, 29199, 509, 1950, 315, 264, 21495, 1667, 1112, 38918, 11, 458, 35858, 374, 279, 19246, 315, 279, 4797, 20590, 11, 476, 35294, 438, 17142, 18040, 284, 220, 19, 9961, 323, 10584, 284, 220, 20, 13, 20, 9961, 323, 24523, 1181, 29199, 509, 1950, 7407, 4766, 21495, 1112, 37243, 323, 40841, 320, 1365, 23, 11, 1365, 21, 873, 279, 29199, 509, 1950, 315, 279, 1774, 5380, 315, 264, 21495, 374, 264, 7678, 1526, 1112, 17744, 274, 2860, 29199, 509, 1950, 36028, 5392, 3643, 279, 21937, 10596, 323, 432, 18689, 29199, 509, 1950, 0, 5692, 1124, 320, 1124, 1318, 314, 80442, 284, 43173, 284, 31867, 335, 1124, 6882, 1493, 525, 279, 11900, 72, 279, 1112, 79014, 315, 279, 21495, 1380, 678, 2326, 5128, 31796, 374, 279, 1459, 315, 78010, 279, 0, 7718, 398, 2598, 6882, 1493, 525, 279, 11900, 72, 315, 279, 21495, 78010, 315, 279, 29199, 509, 1950, 315, 21495, 13, 14513, 476, 803, 5128, 35858, 304, 264, 19419, 315, 6486, 1588, 525, 2326, 2989, 279, 460, 1011, 15860, 58119, 29199, 509, 1950, 7271, 17047, 29199, 509, 1950, 58119, 1112, 362, 1555, 10238, 320, 2598, 279, 220, 35858, 3355, 873, 518, 1290, 25941, 311, 264, 3108, 5780, 1112, 41767, 389, 279, 21495, 609, 671, 220, 18, 24, 2587, 274, 2326, 4797, 20590, 315, 279, 28675, 25, 19709, 315, 279, 1429, 6770, 52484, 20816, 894, 2188, 323, 15387, 304, 5435, 5043, 3953, 6083, 18689, 279, 315, 1112, 9295, 906, 76833, 311, 279, 14002, 9131, 19419, 315, 6486, 279, 3728, 315, 21495, 17142, 58119, 11, 323, 10198, 3057, 315, 264, 21495, 374, 279, 220, 35858, 3355, 873, 518, 1290, 25941, 311, 3108, 1112, 576, 10198, 3057, 315, 264, 21495, 220, 18, 25941, 304, 264, 19419, 315, 6486, 323, 2747, 1112, 6381, 1070, 21495, 11, 582, 1969, 1184, 279, 2701, 23316, 429, 5780, 311, 14002, 39768, 1077, 601, 1490, 1246, 311, 9245, 29199, 509, 1950, 315, 264, 21495, 1181, 29199, 509, 1950, 14468, 11, 6364, 10997, 19709, 29199, 509, 1950, 13, 43821, 279, 460, 1011, 15860, 58119, 11, 29199, 509, 1950, 323, 58119, 315, 264, 21495, 1459, 315, 78010, 315, 279, 11577, 323, 13, 10083, 21495, 11, 582, 1969, 1184, 279, 2701, 23316, 14002, 11067, 279, 2326, 35294, 315, 264, 17515, 758, 42446, 504, 264, 11936, 323, 76833, 311, 320, 600, 1734, 432, 702, 3807, 2989, 5888, 323, 448, 0, 21806, 2747, 369, 1251, 20956, 6888, 518, 894, 2188, 323, 15387, 304, 5435, 5043, 17755, 23497, 389, 3501, 315, 14122, 13, 8713, 14137, 284, 220, 21, 9961, 11, 18040, 284, 220, 19, 9961, 323, 10584, 284, 9961, 13, 38041, 11, 6364, 10997, 19709, 315, 1741, 13934, 264, 3405, 323, 4226, 2747, 369, 1251, 6888, 13, 328, 145274, 406, 98538, 14, 36921, 17047, 323, 10198, 3057, 315, 264, 21495, 2326, 4797, 20590, 315, 264, 21495, 304, 29199, 509, 1950, 0, 23225, 311, 1181, 14002, 3108, 374, 2598, 279, 4478, 315, 279, 4797, 20590, 11, 476, 76802, 16990, 553, 2326, 476, 803, 5128, 518, 894, 2188, 323, 15387, 304, 5435, 5043, 1555, 1112, 758, 37596, 11, 432, 3363, 264, 1459, 6094, 553, 2326, 476, 803, 5128, 63062, 13, 2160, 68660, 311, 1817, 315, 279, 2326, 4797, 20590, 315, 279, 29199, 509, 1950, 315, 264, 21495, 67986, 12108, 7071, 374, 264, 2860, 13, 576, 3040, 3501, 1352, 458, 29199, 509, 39409, 1849, 11, 1221, 1817, 315, 279, 4797, 20590, 0, 364, 50, 3501, 315, 264, 21495, 11, 29199, 509, 1950, 374, 458, 19246, 1459, 315, 78010, 279, 1112, 576, 19246, 315, 279, 35858, 25941, 311, 264, 3108, 429, 5780, 311, 279, 3108, 13, 25694, 2989, 5888, 323, 4300, 448, 1008, 5479, 315, 279, 304, 3057, 11, 3082, 11, 323, 10198, 3057, 315, 21495, 1112, 5351, 320, 279, 14002, 3108, 315, 279, 21495, 29199, 509, 1950, 30822, 10030, 553, 6203, 518, 0, 5351, 315, 279, 12671, 364, 82, 1936, 279, 29199, 509, 1950, 315, 264, 21495, 425, 264, 19419, 315, 6486, 1459, 279, 17142, 6364, 10997, 19709, 315, 279, 29199, 509, 1950, 279, 1790, 906, 284, 220, 20, 13, 20, 9961, 323, 24523, 1181, 29199, 509, 1950, 4797, 20590, 315, 21495, 0, 1205, 1969, 1184, 279, 2701, 23316, 279, 11577, 2331, 315, 279, 35858, 374, 279, 1112, 45810, 1555, 1526, 264, 11936, 323, 76833, 311, 320, 600, 1734, 504, 264, 2331, 429, 16211, 1526, 279, 14002, 3108, 2598, 1112, 38031, 311, 279, 14002, 3108, 315, 279, 76833, 14840, 10605, 315, 264, 29372, 10631, 1112, 576, 19246, 315, 279, 3040, 3501, 29199, 509, 1950, 7271, 17047, 279, 1459, 315, 220, 18, 4797, 20590, 315, 264, 21495, 374, 4766, 13, 16338, 372, 3057, 315, 29199, 509, 1950, 7271, 17047, 21495, 553, 1667, 29199, 509, 1950, 30822, 481, 14934, 1246, 311, 9245, 29199, 509, 1950, 279, 1112, 576, 4185, 1459, 315, 78010, 304, 42446, 14284, 18705, 374, 264, 3405, 323, 4226, 2747, 369, 20956, 1112, 31110, 509, 1950, 525, 1083, 2989, 3501, 315, 78010, 315, 279, 11577, 2331, 323, 279, 35858, 364, 82, 11067, 873, 28149, 758, 5435, 5043, 697, 34918, 11, 1221, 1817, 315, 279, 304, 3057, 11, 3082, 11, 323, 29199, 509, 1950, 1083, 13, 12030, 11, 323, 29199, 509, 1950, 525, 1083, 2989, 3501, 315, 264, 21495, 525, 3931, 304, 279, 29199, 509, 1950, 315, 264, 21495, 315, 0, 5719, 1577, 11, 29199, 509, 1950, 7271, 17047, 323, 58119, 315, 264, 21495, 369, 1251, 20956, 6888, 518, 894, 2188, 323, 304, 13, 8713, 1083, 2989, 3501, 315, 78010, 315, 279, 21495, 374, 264, 7678, 1555, 1526, 264, 11936, 374, 1112, 362, 21495, 5479, 315, 279, 3040, 3501, 374, 279, 76833, 10238, 504, 11936, 2572, 6364, 10997, 19709, 315, 279, 35858, 374, 279, 1459, 1380, 279, 2326, 4797, 20590, 315, 264, 21495, 29199, 509, 1950, 0, 14934, 1246, 311, 10542, 279, 3728, 315, 279, 21495, 609, 671, 220, 18, 24, 2587, 274, 2326, 4797, 20590, 315, 21495, 1112, 22713, 23316, 1774, 5380, 315, 264, 21495, 425, 36028, 5392, 3643, 279, 21937, 10596, 323, 432, 18689, 279, 315, 1112, 23682, 3906, 374, 279, 29199, 509, 1950, 315, 264, 21495, 389, 279, 21495, 58119, 11, 323, 803, 11067, 14137, 1112, 576, 21937, 10596, 323, 432, 18689, 279, 19246, 315, 279, 21495, 31796, 448, 3654, 5888, 4512, 0, 1232, 960, 11067, 525, 14137, 284, 220, 21, 9961, 11, 18040, 284, 220, 19, 9961, 323, 24523, 1181, 29199, 509, 1950, 284, 31867, 335, 873, 0, 31110, 509, 1950, 11, 323, 803, 1555, 10238, 320, 2598, 279, 4478, 315, 279, 29372, 364, 82, 11067, 56647, 810, 1112, 362, 7678, 1555, 1526, 264, 11936, 323, 76833, 311, 279, 14002, 3108, 1817, 315, 279, 364, 82, 0, 576, 19246, 315, 279, 12671, 5392, 3643, 279, 21937, 10596, 323, 432, 18689, 279, 29199, 509, 1950, 264, 0, 6381, 1070, 1290, 609, 56647, 810, 21495, 481, 21045, 25, 220, 16, 16, 25, 16, 20, 11, 58119, 11, 10198, 3057, 39768, 323, 803, 518, 894, 2188, 323, 15387, 304, 5435, 5043, 1588, 1124, 320, 1124, 1318, 80442, 13, 2938, 3953, 6083, 364, 82, 3501, 315, 264, 21495, 374, 825, 315, 279, 1429, 52484, 13, 43821, 3501, 315, 78010, 304, 42446, 29199, 509, 1950, 315, 279, 29372, 364, 82, 11067, 311, 9245, 29199, 509, 1950, 315, 279, 374, 1112, 3680, 66, 21495, 304, 279, 29199, 509, 1950, 476, 35294, 11, 438, 807, 525, 16626, 2598, 1790, 906, 21495, 304, 264, 21495, 279, 0, 1527, 1640, 17433, 12671, 315, 264, 21495, 374, 264, 63062, 6083, 448, 3654, 11689, 1112, 4940, 6832, 374, 7842, 311, 697, 34918, 374, 76833, 311, 279, 14002, 61350, 364, 50, 3501, 315, 78010, 304, 42446, 18040, 284, 220, 19, 9961, 323, 24523, 1181, 29199, 509, 1950, 2326, 2989, 279, 460, 1011, 58119, 0, 23225, 311, 1181, 14002, 3108, 374, 2598, 279, 11577, 2331, 323, 279, 35858, 1246, 311, 11047, 29199, 509, 1950, 13, 1200, 15973, 14122, 553, 279, 19246, 315, 279, 21495, 6882, 42797, 279, 29199, 509, 1950, 315, 21495, 1112, 576, 29372, 364, 82, 11067, 458, 3625, 7074, 374, 458, 19246, 1459, 315, 78010, 315, 11577, 13, 36237, 448, 873, 264, 1555, 8482, 279, 14002, 3108, 315, 279, 21495, 1934, 82452, 335, 1124, 6882, 1493, 525, 279, 11900, 72, 315, 279, 304, 3057, 11, 10198, 3057, 11, 29199, 509, 1950, 374, 7407, 4766, 21495, 0, 220, 35858, 3355, 873, 518, 1290, 25941, 311, 264, 3108, 429, 5780, 311, 279, 14002, 3108, 374, 2598, 753, 3616, 68551, 10238, 504, 264, 11936, 323, 76833, 311, 320, 600, 1734, 374, 825, 315, 1429, 1112, 16990, 553, 2326, 476, 803, 5128, 19246, 1459, 315, 19246, 315, 279, 1774, 5380, 315, 21495, 13, 23153, 45603, 11, 29199, 509, 1950, 374, 7407, 4766, 279, 21495, 364, 82, 220, 18, 4797, 20590, 76833, 10238, 504, 264, 11936, 311, 1181, 14002, 496, 38918, 2766, 21514, 14758, 1246, 311, 10542, 279, 3728, 315, 279, 3040, 3501, 374, 279, 220, 29199, 509, 1950, 3355, 19709, 13, 2379, 525, 16626, 2598, 264, 1376, 949, 315, 6832, 374, 7842, 311, 34918, 0, 2014, 14934, 304, 17047, 323, 279, 35858, 14122, 553, 279, 19246, 315, 279, 21495, 609, 671, 220, 18, 24, 2587, 274, 4797, 20590, 13, 328, 2326, 4797, 20590, 315, 264, 21495, 374, 264, 63062, 6083, 448, 3654, 5888, 11689, 369, 1112, 4940, 29199, 509, 1950, 11, 1365, 21, 873, 279, 29199, 509, 1950, 315, 264, 21495, 323, 4226, 2747, 369, 20956, 1112, 38918, 2766, 21514, 14758, 1246, 311, 11047, 279, 29199, 509, 1950, 315, 264, 21495, 311, 279, 14002, 3108, 279, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 30175, 609, 45914, 1361, 91002, 36101, 31367, 609, 23550, 36991, 64944, 18099, 609, 1200, 583, 1413, 271, 14374, 220, 16, 15, 15, 271, 3838, 374, 279, 4287, 320, 2921, 14, 1004, 8, 738, 5267, 785, 1172, 738, 448, 7168, 55880, 487, 382, 14374, 220, 16, 15, 15, 271, 3838, 374, 264, 5114, 5267, 32, 9445, 1388, 11652, 429, 374, 2987, 830, 476, 895, 382, 14374, 220, 16, 15, 15, 271, 3838, 374, 6032, 50491, 5267, 32, 12687, 323, 1181, 27949, 525, 5746, 421, 323, 1172, 421, 807, 26553, 419, 3343, 382, 14374, 220, 16, 15, 15, 271, 3838, 374, 264, 5546, 8687, 5267, 1249, 827, 34463, 264, 5114, 11, 432, 8489, 1216, 311, 2968, 419, 382, 14374, 220, 16, 15, 15, 271, 3838, 374, 264, 18810, 5267, 32, 35972, 1102, 429, 374, 1483, 438, 458, 53458, 1102, 11, 3545, 311, 12118, 264, 57817, 382, 14374, 220, 17, 15, 15, 271, 3838, 374, 279, 738, 315, 24438, 5109, 5267, 11510, 2392, 304, 419, 738, 646, 387, 5326, 438, 279, 74762, 315, 458, 7546, 323, 264, 5810, 1372, 382, 14374, 220, 17, 15, 15, 271, 3838, 432, 374, 264, 827, 72428, 5267, 785, 10601, 315, 1378, 12239, 1667, 264, 19819, 2726, 382, 14374, 220, 17, 15, 15, 271, 3838, 374, 458, 84162, 12687, 5267, 32, 12687, 429, 374, 32666, 533, 11, 54343, 11, 323, 1356, 3404, 382, 14374, 220, 17, 15, 15, 271, 3838, 374, 1207, 1479, 320, 446, 347, 2714, 266, 7756, 57285, 86427, 785, 6364, 14468, 315, 419, 19458, 71478, 374, 330, 12555, 1030, 311, 387, 6839, 11436, 14374, 220, 17, 15, 15, 271, 3838, 374, 279, 91439, 576, 13173, 315, 92984, 5267, 11510, 7546, 7046, 1091, 220, 16, 646, 387, 5326, 438, 264, 4911, 1985, 315, 10250, 5109, 382, 14374, 220, 18, 15, 15, 271, 3838, 525, 92759, 84784, 7289, 5267, 32, 4426, 315, 2477, 3194, 74505, 315, 264, 738, 362, 374, 2598, 264, 16658, 315, 362, 421, 1181, 5424, 6644, 678, 5424, 315, 362, 323, 26553, 419, 3343, 382, 14374, 220, 18, 15, 15, 271, 3838, 374, 279, 20178, 10272, 3049, 94825, 222, 86427, 1986, 10272, 3049, 3363, 4613, 13097, 382, 14374, 220, 18, 15, 15, 271, 3838, 374, 1729, 50491, 320, 9935, 86427, 2679, 264, 729, 594, 2088, 16819, 1181, 20329, 3121, 11, 1221, 432, 702, 419, 3343, 382, 14374, 220, 18, 15, 15, 271, 3838, 374, 264, 11064, 553, 49759, 5267, 1249, 1473, 429, 393, 58703, 1207, 11, 22477, 429, 393, 374, 830, 323, 1207, 374, 895, 382, 14374, 220, 18, 15, 15, 271, 3838, 374, 7421, 34538, 594, 1200, 583, 552, 5267, 11510, 1496, 7546, 7046, 1091, 220, 17, 646, 387, 5326, 438, 279, 2629, 315, 1378, 10250, 5109, 382, 14374, 220, 19, 15, 15, 271, 3838, 525, 279, 25780, 59864, 308, 5267, 22043, 264, 6785, 7546, 308, 11, 419, 738, 5610, 678, 84162, 6846, 315, 25780, 429, 614, 279, 1852, 26313, 5193, 12804, 553, 308, 382, 14374, 220, 19, 15, 15, 271, 3838, 374, 264, 5871, 2971, 5267, 32, 16287, 2041, 892, 264, 16688, 374, 2677, 895, 382, 14374, 220, 19, 15, 15, 271, 3838, 374, 279, 9569, 5267, 785, 18037, 315, 264, 6032, 50491, 729, 448, 1181, 1828, 27949, 382, 14374, 220, 19, 15, 15, 271, 3838, 374, 2041, 4709, 315, 1766, 2719, 320, 86, 839, 86427, 32, 1063, 1645, 41435, 311, 73381, 264, 11064, 421, 2155, 5048, 525, 19516, 476, 1602, 4428, 382, 14374, 220, 19, 15, 15, 271, 3838, 374, 21963, 75044, 594, 85810, 5267, 10061, 296, 323, 308, 387, 25780, 11, 323, 281, 387, 264, 10250, 1372, 25, 281, 760, 27938, 58703, 281, 760, 296, 11995, 101, 281, 760, 308, 271, 14374, 220, 20, 15, 15, 271, 3838, 374, 21463, 759, 845, 5267, 785, 55880, 1372, 315, 1817, 3371, 3389, 480, 738, 382, 14374, 220, 20, 15, 15, 271, 3838, 374, 279, 5650, 355, 65315, 724, 5267, 47, 73978, 320, 47, 58703, 1207, 8, 58703, 1207, 271, 14374, 220, 20, 15, 15, 271, 3838, 374, 264, 10997, 320, 89453, 938, 14, 2571, 292, 12679, 8, 1973, 23754, 67532, 198, 52670, 198, 34024, 198, 93223, 198, 603, 198, 80185, 198, 50364, 198, 27856, 198, 19789, 198, 4498, 28273, 279, 5109, 504, 220, 16, 311, 220, 24, 345, 16, 366, 220, 17, 714, 220, 17, 861, 220, 18, 861, 220, 19, 861, 220, 20, 345, 20, 366, 220, 21, 714, 220, 21, 861, 220, 22, 861, 220, 23, 345, 23, 366, 220, 24, 714, 220, 24, 366, 220, 16, 382, 14374, 220, 20, 15, 15, 271, 3838, 374, 279, 80986, 315, 91002, 2263, 2654, 5267, 7, 54700, 308, 62147, 308, 15, 25, 393, 1445, 8, 873, 21103, 94, 320, 393, 1445, 15, 8, 73978, 54700, 595, 62147, 308, 15, 25, 393, 5969, 8, 58703, 393, 5969, 10, 16, 8, 5125, 14374, 220, 20, 15, 15, 271, 3838, 374, 279, 5016, 131315, 1107, 7671, 932, 12429, 576, 13173, 5267, 2679, 279, 55880, 1372, 315, 264, 738, 362, 374, 2176, 2686, 47654, 26511, 5655, 1751, 323, 7046, 47654, 26511, 5655, 1751, 1091, 279, 55880, 1372, 315, 264, 738, 425, 11, 1221, 362, 323, 425, 525, 7857, 2673, 13578, 382, 2, 4149, 220, 18, 15, 15, 15, 13513, 4149, 14133, 31929, 88, 271, 5886, 434, 16, 16, 369, 2480, 29260, 3856 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 78988, 2, 1298, 586, 419, 7877, 1352, 315, 26107, 59, 5493, 3528, 1124, 396, 62, 15, 61, 16, 59, 37018, 90, 11520, 2261, 7, 16, 37892, 96859, 17, 59, 2261, 2075, 10699, 2261, 7, 16, 6558, 9139, 90, 16, 6558, 92, 1124, 11, 13822, 14085, 271, 58736, 396, 62, 15, 61, 16, 59, 37018, 90, 11520, 2261, 7, 16, 37892, 96859, 17, 59, 2261, 2075, 10699, 2261, 7, 16, 6558, 9139, 90, 16, 6558, 92, 1124, 11, 13822, 34433, 67, 37018, 90, 22, 15170, 17, 11035, 89, 1915, 7, 18, 6098, 11520, 2261, 220, 17, 29776, 17, 19732, 59, 67, 37018, 35702, 2493, 61, 17, 15170, 21, 15170, 11520, 2261, 220, 17, 29776, 18, 19732, 59, 67, 37018, 35702, 2493, 61, 17, 15170, 17, 11035, 89, 1915, 7, 18, 7257, 90, 21, 11035, 89, 1915, 7, 20, 7287, 59, 67, 37018, 35702, 2493, 61, 19, 15170, 19, 23, 11035, 2261, 17, 66426, 1336, 586, 429, 279, 23606, 3403, 374, 830, 382, 2623, 367, 25, 26107, 59, 89, 1915, 11520, 50853, 8, 14085, 71114, 279, 431, 26862, 1020, 1863, 1915, 729, 382, 1986, 572, 1730, 304, 2441, 37596, 1352, 323, 432, 572, 75447, 1052, 382, 1986, 374, 264, 949, 315, 279, 738, 3377, 36754, 11131, 323, 29001, 1127, 382, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 68005, 84363, 1561, 438, 198, 9, 2174, 1211, 9, 476, 716, 2174, 1211, 62, 432, 278, 1211, 198, 334, 14824, 334, 476, 1304, 14824, 563, 13939, 198, 12, 7028, 6873, 12, 1140, 198, 6667, 7028, 6873, 198, 6667, 1140, 198, 16, 13, 48826, 17, 13, 1140, 198, 16, 13, 48826, 198, 17, 13, 1140, 198, 9112, 25, 498, 1969, 912, 264, 2480, 1555, 315, 3550, 1573, 323, 1283, 11469, 369, 1105, 311, 1473, 705, 12440, 198, 27727, 220, 16, 27727, 220, 17, 271, 27727, 220, 16, 271, 27727, 220, 17, 271, 58, 8687, 2656, 9533, 2428, 1110, 1323, 483, 5372, 2659, 8, 8687, 2656, 198, 29, 1096, 374, 264, 12641, 198, 1986, 374, 264, 12641, 198, 262, 671, 358, 1257, 15864, 1493, 5128, 198, 2, 220, 19, 12621, 11, 323, 1431, 807, 1473, 198, 2, 705, 438, 264, 2038, 2504, 382, 1350, 330, 14990, 1879, 698, 2, 358, 1257, 15864, 1493, 5128, 198, 2, 220, 19, 12621, 11, 323, 1431, 807, 1473, 198, 2, 705, 438, 264, 2038, 2504, 382, 1350, 330, 14990, 1879, 698, 8815, 84363, 1561, 438, 198, 28590, 311, 15061, 6888, 304, 26107, 1112, 14085, 476, 400, 1112, 3, 311, 5978, 6169, 36566, 624, 17, 1124, 15136, 220, 18, 26107, 17, 1124, 15136, 220, 18, 14085, 198, 17, 47822, 18, 19, 92, 26107, 17, 47822, 18, 19, 92, 14085, 198, 64, 15159, 72, 12, 16, 92, 26107, 64, 15159, 72, 12, 16, 92, 14085, 198, 59, 37018, 90, 17, 15170, 18, 92, 26107, 59, 37018, 90, 17, 15170, 18, 92, 14085, 198, 59, 26888, 90, 17, 92, 26107, 59, 26888, 90, 17, 92, 14085, 198, 59, 1242, 15159, 72, 28, 16, 92, 61, 18, 26107, 59, 1242, 15159, 72, 28, 16, 92, 61, 18, 14085, 198, 59, 15940, 1124, 15976, 26107, 59, 15940, 1124, 15976, 14085, 198, 59, 79075, 90, 16, 17, 18, 92, 26107, 59, 79075, 90, 16, 17, 18, 92, 14085, 271, 10231, 553, 1447, 10253, 419, 14461, 3554, 58736, 16767, 1124, 2261, 6306, 17, 320, 16, 37892, 8, 284, 1124, 1242, 15159, 81, 28, 15, 92, 61, 35702, 258, 36958, 92, 1124, 67, 37018, 90, 39, 15159, 81, 92, 10293, 16, 29776, 81, 856, 47822, 81, 10, 16, 3417, 90, 81, 10, 16, 31716, 271, 12209, 432, 686, 387, 2115, 311, 15442, 279, 25098, 271, 58736, 16767, 1124, 396, 15159, 15, 92, 47822, 16, 92, 856, 47822, 81, 10, 16, 92, 1124, 67, 37018, 35702, 2261, 2075, 8, 1124, 2261, 7, 16, 6558, 9139, 90, 16, 6558, 92, 13822, 66426, 1986, 374, 31805, 315, 13440, 729, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 4340, 686, 498, 15442, 279, 12942, 34259, 367, 1939, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 57454, 6419, 825, 0, 3155, 498, 1414, 1246, 311, 12118, 432, 1939, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 10677, 11062, 13498, 220, 17, 24, 11, 220, 17, 15, 16, 21, 271, 40, 3278, 537, 2968, 705, 389, 429, 3491, 13, 358, 614, 311, 11625, 432, 1156, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 1072, 57017, 279, 23163, 729, 315, 81241, 1372, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 40, 1865, 432, 389, 847, 1828, 323, 600, 15522, 1414, 3425, 432, 374, 2669, 1052, 476, 537, 271, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 7039, 569, 40, 82127, 26894, 646, 11625, 419, 496, 91660, 646, 387, 5326, 438, 1447, 58736, 5493, 3528, 1124, 1242, 15159, 81, 10671, 13960, 59, 709, 80, 220, 15, 92, 1124, 37018, 90, 39, 1710, 4080, 16, 29776, 81, 15170, 7, 81, 10, 16, 2376, 83, 10, 16, 2376, 81, 67797, 41701, 10, 18, 29776, 17, 31716, 271, 12, 220, 16, 4102, 3157, 11, 220, 23, 4102, 49714, 4134, 271, 31, 34767, 20644, 479, 2267, 912, 432, 311, 498, 738, 271, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 12658, 13, 3155, 1430, 432, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 26987, 549, 7169, 1119, 31805, 315, 34243, 729, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 56, 454, 358, 1521, 429, 714, 518, 1045, 1459, 11, 358, 614, 311, 1896, 5810, 89936, 76, 315, 10293, 16, 3593, 23085, 374, 49952, 11, 714, 279, 7877, 1352, 36102, 944, 6644, 894, 49952, 4647, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 2753, 13, 11778, 3930, 13, 1752, 3110, 419, 271, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 4814, 575, 9355, 10339, 1246, 575, 9251, 279, 3930, 1052, 1939, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 4792, 686, 1896, 26107, 17, 481, 18, 14085, 6816, 13, 358, 1231, 1736, 432, 979, 358, 2776, 1910, 382, 12, 220, 16, 4102, 3157, 11, 220, 23, 4102, 49714, 4134, 271, 2610, 614, 311, 653, 2494, 448, 279, 26107, 59, 2261, 61, 17, 320, 16, 37892, 8, 14085, 4647, 323, 26807, 432, 5221, 16099, 1119, 279, 3930, 13, 13293, 1714, 374, 311, 990, 23163, 729, 315, 39659, 292, 5109, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 40, 2684, 49952, 4647, 1393, 1667, 429, 39659, 292, 12687, 382, 2610, 525, 22023, 419, 26107, 59, 1242, 15159, 77, 28, 16, 92, 61, 35702, 258, 36958, 92, 472, 15159, 77, 92, 856, 47822, 77, 92, 284, 1124, 67, 37018, 19999, 2261, 7, 16, 6558, 9139, 90, 16, 6558, 92, 14085, 902, 1939, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 9454, 13, 358, 2776, 22023, 311, 429, 23163, 729, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 42, 74, 358, 3278, 2968, 2441, 6552, 518, 88220, 77, 1515, 594, 1616, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 31, 8949, 472, 2667, 819, 1410, 498, 1492, 601, 700, 1939, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134, 271, 40, 2684, 432, 13, 20678, 752, 825, 6460, 315, 882, 382, 12, 220, 16, 4102, 3157, 11, 220, 24, 4102, 49714, 4134 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18030, 292, 323, 23739, 19703, 271, 2132, 572, 1053, 429, 566, 17855, 1841, 572, 1156, 1483, 553, 66427, 31185, 471, 288, 11, 714, 1293, 1573, 566, 1483, 419, 11, 432, 702, 1012, 7881, 304, 9856, 304, 279, 220, 16, 20, 15, 15, 82, 13, 576, 17855, 320, 1841, 572, 35492, 311, 1477, 279, 9334, 3704, 476, 279, 23739, 3704, 11, 220, 19, 339, 3704, 11, 220, 20, 339, 3704, 4992, 2572, 11649, 389, 279, 1922, 315, 279, 17855, 1841, 382, 7039, 421, 498, 6099, 11, 304, 3681, 12453, 11, 582, 9498, 678, 911, 279, 2155, 1372, 5942, 323, 582, 614, 9733, 911, 279, 24438, 323, 60654, 5109, 13, 20605, 52603, 646, 9173, 311, 2987, 315, 892, 11649, 315, 3308, 421, 279, 73256, 1035, 387, 2952, 311, 4946, 1119, 279, 7271, 315, 53684, 1874, 315, 1372, 13, 758, 419, 17755, 582, 686, 633, 311, 387, 2952, 311, 10542, 3425, 476, 537, 264, 3654, 17855, 374, 24438, 13, 1205, 686, 387, 11689, 2087, 311, 3920, 911, 264, 9334, 3704, 476, 264, 23739, 3704, 315, 264, 3953, 1372, 382, 1654, 686, 1156, 1401, 1119, 1128, 264, 9334, 323, 264, 23739, 525, 2474, 1493, 1035, 387, 279, 1378, 15811, 18940, 13, 758, 1973, 311, 11625, 264, 9334, 3704, 11, 476, 264, 23739, 3704, 11, 825, 1969, 1414, 1246, 311, 9334, 476, 23739, 264, 1372, 13, 4220, 686, 387, 26364, 14078, 304, 220, 19, 13, 16, 323, 220, 19, 13, 17, 382, 2461, 220, 19, 13, 18, 311, 220, 19, 13, 23, 582, 686, 387, 3330, 12128, 1119, 1246, 311, 39721, 323, 15442, 1493, 73256, 1526, 18950, 1128, 582, 614, 9498, 504, 29632, 389, 9334, 323, 9334, 19703, 11, 76372, 9334, 19703, 11, 323, 24438, 5109, 504, 6788, 27611, 13, 1205, 1035, 1083, 387, 6832, 1246, 311, 5508, 1105, 1119, 2987, 4453, 73256, 311, 9519, 73256, 476, 16774, 45291, 11, 553, 18950, 1039, 6540, 315, 2097, 5503, 700, 279, 4727, 31340, 476, 279, 4727, 54104, 304, 279, 23606, 13, 34702, 504, 33437, 279, 73256, 504, 825, 1352, 311, 2441, 582, 525, 1083, 2087, 311, 3960, 803, 911, 1246, 311, 15963, 2155, 73256, 323, 39721, 1105, 11649, 389, 279, 5666, 1483, 323, 3960, 311, 24438, 551, 264, 3654, 17855, 23606, 382, 14374, 18030, 292, 323, 23739, 19703, 271, 64261, 582, 1490, 1036, 37165, 9336, 1077, 432, 387, 40899, 19703, 476, 9334, 19703, 11, 582, 1414, 369, 2704, 429, 582, 686, 1184, 311, 653, 10250, 8168, 2022, 311, 1477, 700, 279, 10250, 9363, 315, 279, 5109, 13, 758, 419, 3772, 11, 582, 990, 9363, 323, 65060, 311, 1477, 4727, 23739, 4361, 5109, 323, 40899, 19703, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17, 23, 339, 7179, 14872, 389, 11791, 304, 56565, 6493, 49795, 271, 17, 15, 16, 21, 198, 81538, 198, 27523, 220, 16, 17, 11, 220, 17, 15, 16, 21, 198, 6807, 35261, 82, 369, 22096, 12407, 23550, 198, 9594, 1506, 32493, 2673, 448, 31910, 38, 50213, 198, 16, 25, 18, 15, 281, 744, 13, 481, 220, 17, 25, 15, 15, 281, 744, 382, 3660, 358, 38446, 35261, 82, 369, 8800, 23550, 22096, 92984, 3660, 7946, 22096, 23550, 3660, 14429, 31359, 355, 369, 22096, 23550, 271, 49119, 17263, 1515, 198, 47020, 315, 49795, 198, 39, 3551, 93044, 3234, 3822, 271, 1254, 1110, 4218, 860, 3551, 93044, 12586, 14, 19268, 1515, 16341, 2695, 804, 14, 6076, 2447, 1162, 9985, 98219, 13, 18, 62, 16, 17, 62, 16, 21, 2564, 271, 15949, 25, 38446, 46187, 3410, 264, 15172, 5392, 369, 9124, 4849, 6351, 3890, 5746, 13, 12091, 31910, 38, 50213, 11, 20459, 8741, 46187, 686, 2138, 3847, 311, 1490, 2989, 5888, 315, 6351, 5746, 13, 25311, 2924, 6351, 34784, 11, 1376, 5746, 11, 323, 82668, 18940, 624, 8706, 323, 44078, 311, 1008, 975, 389, 38446, 35261, 82, 369, 1931, 7332, 2139, 97, 271, 16, 13, 16, 19047, 25, 38446, 35261, 82, 369, 8800, 23550, 198, 16, 13, 16, 13, 16, 8800, 23550, 13, 2139, 97, 198, 70151, 8800, 23550, 25, 42152, 11, 38446, 35261, 82, 11, 323, 12165, 82, 271, 16, 13, 17, 13, 8800, 28263, 23550, 13, 2139, 97, 198, 12768, 28263, 5746, 525, 279, 1376, 311, 8660, 82668, 624, 31898, 5746, 525, 35242, 13302, 553, 458, 23606, 1075, 6260, 41306, 2075, 11730, 14619, 488, 293, 3, 624, 6807, 46187, 369, 1931, 13482, 5746, 614, 825, 4285, 650, 7766, 4565, 12, 279, 5244, 1459, 11, 10838, 553, 279, 5109, 198, 53516, 3, 323, 400, 65, 54876, 3371, 9253, 1588, 553, 400, 58, 76, 8402, 60, 25046, 624, 6807, 35261, 82, 323, 12165, 82, 315, 8800, 28263, 23550, 198, 9594, 4849, 1931, 13482, 5746, 1667, 12731, 46187, 323, 38999, 624, 1986, 374, 264, 7943, 1845, 1149, 3465, 1667, 31910, 38, 50213, 504, 8438, 22387, 538, 50213, 2659, 481, 432, 5868, 1075, 498, 1513, 944, 614, 7943, 10275, 11, 4486, 728, 311, 8438, 10848, 905, 271, 34193, 1246, 3501, 389, 279, 4771, 6716, 448, 36957, 323, 3501, 389, 279, 12731, 13549, 382, 17, 13, 16, 362, 10294, 315, 22096, 34713, 323, 92984, 25, 19070, 57960, 10374, 6066, 90, 34, 31716, 81538, 198, 10398, 25, 576, 330, 4082, 1, 400, 72, 3, 1447, 1249, 11625, 279, 23606, 400, 87, 61, 17, 488, 16, 284, 15, 3, 582, 1855, 264, 7735, 400, 72, 3, 323, 15913, 429, 400, 72, 61, 17, 284, 481, 16, 3, 773, 400, 72, 3, 67477, 279, 23606, 4102, 323, 582, 3270, 26107, 72, 284, 1124, 26888, 90, 481, 16, 335, 2418, 66426, 50542, 25, 362, 6351, 1372, 400, 89, 3, 374, 264, 1372, 429, 646, 387, 13302, 304, 279, 1352, 400, 89, 284, 64, 488, 8221, 3, 1380, 400, 64, 3, 323, 400, 65, 3, 525, 1931, 5109, 382, 2679, 198, 3, 89, 284, 64, 488, 8221, 3, 1221, 400, 64, 3, 374, 2598, 279, 1931, 949, 315, 400, 89, 3, 323, 400, 65, 3, 320, 437, 35013, 400, 8221, 3, 8, 374, 2598, 279, 49952, 949, 315, 400, 89, 3, 624, 40381, 25, 400, 18, 488, 220, 17, 72, 3, 323, 400, 12, 17, 481, 600, 3, 382, 220, 17, 13, 17, 22096, 38918, 12, 576, 22096, 43044, 22096, 5109, 525, 10820, 448, 3501, 304, 264, 94381, 11031, 553, 3432, 400, 64, 488, 8221, 3, 10820, 448, 279, 1459, 448, 13934, 4930, 64, 8402, 15087, 476, 448, 2309, 22879, 553, 24588, 400, 64, 10, 8221, 3, 448, 279, 4621, 400, 12947, 3085, 419, 21892, 600, 374, 10820, 448, 279, 1459, 320, 15, 11, 16, 8, 323, 481, 72, 374, 10820, 448, 320, 15, 4999, 16, 568, 220, 17, 13, 17, 13, 16, 22096, 5624, 20317, 320, 85262, 1648, 576, 7465, 315, 1147, 374, 4512, 553, 760, 89, 91, 284, 760, 64, 10, 8221, 91, 284, 1124, 26888, 90, 264, 61, 17, 488, 65, 61, 17, 92, 220, 17, 13, 17, 13, 17, 55896, 78046, 315, 1147, 25, 2139, 97, 12091, 52933, 263, 6988, 582, 614, 279, 21892, 25, 14085, 89, 284, 760, 89, 91, 1124, 9407, 7, 1124, 15976, 8, 488, 760, 89, 91, 1124, 15940, 11520, 15976, 8, 600, 284, 760, 89, 91, 93815, 9407, 7, 1124, 15976, 8, 488, 1124, 15940, 11520, 15976, 8, 600, 60, 284, 760, 89, 91, 66404, 7, 1124, 15976, 8, 26107, 2870, 264, 284, 1124, 9407, 7, 1124, 15976, 6882, 293, 284, 1124, 15940, 11520, 15976, 568, 576, 9210, 1124, 15976, 10838, 553, 1147, 646, 387, 16878, 304, 12348, 476, 50784, 323, 21739, 311, 387, 304, 264, 3151, 9873, 13, 1752, 3110, 1124, 15976, 1124, 258, 508, 15, 11, 17, 1124, 2493, 8, 476, 1124, 15976, 1124, 258, 10293, 59, 2493, 11, 1124, 2493, 936, 14301, 279, 9210, 646, 387, 6509, 264, 729, 315, 1147, 11, 2598, 279, 5693, 315, 1147, 25, 7638, 13174, 8, 284, 59, 15976, 13, 220, 17, 13, 17, 13, 18, 1374, 59825, 78046, 315, 1147, 25, 2139, 97, 21144, 279, 16439, 11131, 369, 279, 5746, 25, 14085, 68, 61, 87, 284, 220, 16, 488, 856, 488, 1124, 37018, 45340, 61, 17, 92, 17, 488, 59, 37018, 45340, 61, 18, 15170, 18, 0, 92, 488, 1124, 37018, 45340, 61, 19, 15170, 19, 0, 92, 488, 1124, 37018, 45340, 61, 20, 15170, 20, 0, 92, 488, 1124, 37018, 45340, 61, 21, 15170, 21, 0, 92, 488, 1124, 37018, 45340, 61, 22, 15170, 22, 0, 92, 4102, 98760, 9407, 2075, 8, 284, 220, 16, 481, 1124, 37018, 45340, 61, 17, 92, 17, 488, 1124, 37018, 45340, 61, 19, 15170, 19, 0, 92, 481, 1124, 37018, 45340, 61, 21, 15170, 21, 0, 92, 488, 98760, 15940, 2075, 8, 284, 4102, 856, 481, 1124, 37018, 45340, 61, 18, 15170, 18, 0, 92, 488, 4102, 1124, 37018, 45340, 61, 20, 15170, 20, 0, 92, 4102, 481, 4102, 1124, 37018, 45340, 61, 22, 15170, 22, 0, 92, 4102, 2503, 14085, 12209, 1667, 1124, 15976, 304, 8862, 1103, 6629, 25, 14085, 68, 47822, 72, 59, 15976, 51185, 1124, 9407, 11520, 15976, 8, 488, 1124, 15940, 11520, 15976, 47717, 284, 66404, 19788, 15976, 8, 14085, 437, 14085, 89, 284, 91, 89, 91, 68, 47822, 72, 1124, 15976, 31716, 12947, 7036, 25, 3197, 1124, 15976, 284, 59, 2493, 419, 23606, 31116, 429, 384, 61, 35702, 2493, 600, 92, 284, 1124, 9407, 11520, 2493, 8, 488, 7437, 11520, 2493, 47717, 284, 481, 16, 13, 220, 17, 13, 18, 22096, 92984, 220, 220, 17, 13, 18, 13, 16, 22096, 78646, 25, 1147, 62, 16, 92952, 62, 17, 2139, 97, 1416, 1147, 62, 16, 284, 264, 62, 16, 488, 293, 62, 16, 72, 323, 1147, 62, 17, 284, 264, 62, 17, 488, 293, 62, 17, 72, 1221, 14085, 89, 62, 16, 92952, 62, 17, 284, 64, 62, 16, 488, 264, 62, 17, 488, 320, 65, 62, 16, 10, 293, 62, 17, 8, 600, 220, 13383, 25, 1416, 400, 89, 62, 16, 284, 220, 17, 10, 18, 72, 26, 1147, 62, 17, 28, 220, 16, 481, 600, 3, 1221, 4102, 400, 89, 62, 16, 92952, 62, 17, 28, 320, 17, 10, 16, 8, 488, 320, 18, 12, 16, 8, 600, 284, 220, 18, 488, 220, 17, 72, 12947, 576, 5256, 646, 387, 3381, 315, 438, 4621, 5256, 32045, 17091, 4102, 481, 448, 8651, 5256, 315, 279, 1931, 323, 49952, 5479, 13, 78646, 646, 387, 9124, 1506, 304, 279, 6351, 11031, 553, 1667, 57030, 839, 94701, 382, 17, 13, 18, 13, 17, 22096, 58712, 1693, 25, 400, 89, 62, 16, 1124, 50853, 1147, 62, 17, 3, 9238, 2139, 97, 198, 76443, 2673, 25, 2679, 400, 89, 62, 16, 284, 220, 17, 10, 18, 72, 26, 1147, 62, 17, 28, 220, 16, 481, 600, 3, 1221, 4102, 400, 89, 62, 16, 1124, 50853, 1147, 62, 17, 28, 320, 17, 10, 18, 72, 8, 1124, 50853, 320, 16, 17600, 8, 284, 220, 17, 1124, 50853, 220, 16, 481, 220, 18, 59, 50853, 600, 61, 17, 488, 220, 18, 72, 1124, 50853, 220, 16, 488, 17, 1124, 50853, 10293, 72, 8, 284, 320, 17, 10, 18, 8, 61083, 18, 12, 220, 17, 47717, 284, 220, 20, 21212, 12947, 1096, 374, 8661, 311, 3535, 6351, 46444, 52484, 745, 1667, 279, 24660, 4102, 476, 279, 58755, 13042, 320, 258, 8862, 1103, 6629, 1648, 400, 89, 62, 16, 28, 91, 89, 62, 16, 91, 93815, 9407, 7, 1124, 15976, 62, 16, 8, 488, 1124, 15940, 11520, 15976, 62, 16, 8, 600, 60, 284, 760, 89, 62, 16, 91, 68, 47822, 72, 59, 15976, 62, 16, 92, 2587, 59, 1147, 62, 17, 34433, 50853, 760, 89, 62, 16, 91, 93815, 9407, 7, 1124, 15976, 62, 17, 8, 488, 1124, 15940, 11520, 15976, 62, 17, 8, 600, 60, 284, 760, 89, 62, 17, 91, 68, 47822, 72, 59, 15976, 62, 17, 31716, 400, 89, 62, 16, 1124, 50853, 1147, 62, 17, 28, 760, 89, 62, 16, 91, 93815, 9407, 7, 1124, 15976, 62, 16, 8, 488, 1124, 15940, 11520, 15976, 62, 16, 8, 600, 60, 1124, 50853, 760, 89, 62, 16, 91, 93815, 9407, 7, 1124, 15976, 62, 17, 8, 488, 1124, 15940, 11520, 15976, 62, 17, 8, 600, 94280, 32045, 17091, 4102, 400, 28, 760, 89, 62, 16, 22957, 50853, 760, 89, 62, 16, 91, 93815, 9407, 7, 1124, 15976, 62, 16, 8, 488, 1124, 15940, 11520, 15976, 62, 16, 8, 600, 60, 1124, 50853, 93815, 9407, 7, 1124, 15976, 62, 17, 8, 488, 1124, 15940, 11520, 15976, 62, 17, 8, 600, 94280, 17091, 19070, 4102, 400, 28, 760, 89, 62, 16, 22957, 50853, 760, 89, 62, 16, 91, 93815, 9407, 7, 1124, 15976, 62, 16, 10699, 9407, 7, 1124, 15976, 62, 17, 8, 481, 1124, 15940, 11520, 15976, 62, 16, 10699, 15940, 11520, 15976, 62, 17, 8, 488, 19788, 15940, 11520, 15976, 62, 16, 10699, 9407, 7, 1124, 15976, 62, 17, 8, 488, 1124, 15940, 11520, 15976, 62, 17, 8, 1124, 9407, 11520, 15976, 62, 16, 8, 873, 72, 94280, 17091, 19070, 4102, 400, 28, 91, 89, 62, 16, 22957, 50853, 760, 89, 62, 16, 91, 93815, 9407, 7, 1124, 15976, 62, 16, 488, 1124, 15976, 62, 17, 8, 488, 1124, 15940, 11520, 15976, 62, 16, 488, 59, 15976, 62, 17, 8, 600, 94280, 17091, 19070, 4102, 400, 28, 91, 89, 62, 16, 22957, 50853, 760, 89, 62, 16, 91, 66404, 19788, 15976, 62, 16, 488, 59, 15976, 62, 17, 15087, 476, 803, 4936, 1667, 57960, 15976, 3, 304, 8862, 1103, 6629, 25, 400, 89, 62, 16, 1124, 50853, 1147, 62, 17, 28, 760, 89, 62, 16, 91, 68, 47822, 72, 59, 15976, 62, 16, 11035, 50853, 760, 89, 62, 17, 91, 68, 47822, 72, 59, 15976, 62, 17, 31716, 17091, 19070, 9238, 400, 28, 91, 89, 62, 16, 22957, 50853, 760, 89, 62, 16, 91, 384, 47822, 11520, 15976, 62, 16, 488, 59, 15976, 62, 17, 47717, 31716, 271, 13314, 25, 1416, 400, 89, 62, 16, 284, 1124, 26888, 220, 17, 59, 66404, 7, 19, 20, 11616, 1215, 1147, 62, 17, 28, 220, 17, 59, 66404, 7, 18, 15, 11616, 15087, 1221, 4102, 400, 89, 62, 16, 59, 50853, 1147, 62, 17, 28, 220, 17, 59, 26888, 220, 17, 59, 66404, 320, 22, 20, 36286, 8, 12947, 81538, 271, 17, 13, 18, 13, 18, 22096, 758, 3004, 288, 25, 57960, 37018, 16, 89, 11, 1147, 1124, 811, 220, 15, 3, 2139, 97, 198, 13383, 25, 17399, 57960, 37018, 220, 16, 90, 17, 10, 18, 72, 31716, 304, 279, 5297, 1352, 315, 400, 64, 488, 6032, 12947, 12478, 25, 57960, 37018, 220, 16, 90, 17, 21212, 92, 284, 59, 37018, 220, 16, 90, 17, 21212, 92, 1124, 50853, 1124, 37018, 314, 17, 17600, 15170, 17, 17600, 92, 284, 1124, 37018, 90, 17, 17600, 15170, 19, 10, 16, 92, 284, 1124, 37018, 220, 17, 90, 20, 92, 481, 1124, 37018, 220, 18, 90, 20, 92, 72, 12947, 36712, 25, 1416, 400, 64, 61, 17, 35093, 61, 17, 1124, 811, 220, 15, 3, 1221, 4102, 57960, 37018, 16, 90, 64, 10, 8221, 92, 284, 1124, 37018, 264, 90, 64, 61, 17, 488, 293, 61, 17, 92, 481, 1124, 37018, 293, 90, 64, 61, 17, 488, 293, 61, 17, 92, 72, 66426, 17, 13, 18, 13, 19, 4102, 38918, 369, 57960, 37018, 16, 89, 11, 1147, 1124, 811, 220, 15, 25046, 9499, 23375, 8660, 315, 57960, 37018, 16, 89, 11, 1147, 1124, 811, 220, 15, 3, 4041, 1850, 553, 1667, 279, 24660, 476, 58755, 13042, 382, 4792, 374, 11, 421, 400, 89, 28, 91, 89, 22957, 66404, 11520, 15976, 8, 284, 760, 89, 91, 68, 47822, 72, 59, 15976, 31716, 1221, 57960, 37018, 16, 89, 284, 1124, 37018, 16, 46115, 89, 91, 92, 1124, 66404, 4080, 59, 15976, 8, 284, 1124, 37018, 16, 46115, 89, 91, 92, 384, 87210, 72, 59, 15976, 31716, 271, 1925, 311, 3660, 7946, 22096, 23550, 271, 31712, 25, 81538, 271, 6807, 35261, 82, 504, 362, 2333, 26083, 8, 425, 36951, 1211, 8, 311, 356, 17643, 41349, 8, 323, 422, 7, 68657, 8, 468, 65416, 367, 16466, 624, 32, 17207, 323, 11765, 5893, 389, 5712, 20185, 8040, 12091, 38446, 35261, 82, 271, 785, 31152, 1238, 31359, 355, 6687 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 220, 16, 20, 22, 13, 23, 28060, 311, 20972, 1365, 2585, 311, 7169, 393, 3095, 311, 37888, 55385, 271, 3608, 25, 293, 287, 905, 271, 12116, 498, 3512, 23057, 279, 18662, 315, 220, 16, 20, 22, 13, 23, 16302, 320, 52944, 8, 323, 4829, 311, 1414, 1181, 13578, 304, 84302, 320, 7351, 11843, 1634, 2155, 5837, 323, 19102, 990, 28765, 8153, 315, 18662, 11, 432, 374, 4185, 311, 1184, 311, 5508, 1948, 8153, 13, 758, 419, 4549, 11, 582, 686, 4263, 279, 14409, 315, 220, 16, 20, 22, 13, 23, 28060, 311, 20972, 323, 3410, 20017, 1119, 279, 10431, 323, 3840, 315, 1493, 8153, 315, 18662, 382, 565, 45451, 393, 3095, 323, 37888, 55385, 271, 3608, 25, 293, 287, 905, 271, 47, 3095, 323, 84302, 525, 2176, 8153, 315, 3072, 429, 525, 1483, 311, 6629, 279, 4680, 315, 458, 1633, 13, 576, 30023, 374, 264, 4982, 315, 3072, 16626, 1483, 304, 279, 3639, 4180, 323, 264, 2421, 1008, 5837, 11, 19853, 279, 15045, 12958, 374, 279, 5297, 18662, 315, 3072, 304, 1429, 1008, 5837, 2163, 279, 1879, 382, 32, 30023, 374, 4512, 438, 220, 15, 13, 19, 20, 18, 20, 24, 17, 18, 22, 84302, 11, 19853, 264, 15045, 12958, 374, 4512, 438, 279, 3072, 315, 264, 3953, 34564, 315, 62227, 12, 404, 307, 2356, 45864, 8604, 518, 279, 7179, 21802, 315, 1205, 2796, 323, 72556, 382, 565, 42509, 315, 220, 16, 20, 22, 13, 23, 28060, 311, 20972, 271, 3608, 25, 293, 287, 905, 271, 1249, 5508, 220, 16, 20, 22, 13, 23, 28060, 311, 20972, 11, 582, 1184, 311, 30270, 279, 3311, 315, 16302, 553, 279, 14409, 8168, 315, 220, 15, 13, 19, 20, 18, 20, 24, 17, 18, 22, 13, 15277, 11, 220, 16, 20, 22, 13, 23, 28060, 374, 13578, 311, 1447, 16, 20, 22, 13, 23, 856, 220, 15, 13, 19, 20, 18, 20, 24, 17, 18, 22, 284, 220, 22, 16, 13, 20, 22, 23, 20972, 271, 1986, 3363, 429, 220, 16, 20, 22, 13, 23, 28060, 374, 6144, 311, 220, 22, 16, 13, 20, 22, 23, 20972, 13, 2014, 5508, 1948, 16302, 323, 84302, 11, 4936, 30270, 279, 3311, 315, 16302, 553, 220, 15, 13, 19, 20, 18, 20, 24, 17, 18, 22, 476, 21749, 279, 3311, 315, 84302, 553, 220, 17, 13, 17, 15, 19, 21, 17, 382, 565, 11099, 315, 393, 3095, 323, 37888, 55385, 271, 3608, 25, 293, 287, 905, 271, 785, 30023, 702, 264, 1293, 3840, 323, 572, 1156, 1483, 304, 13833, 21718, 13, 24805, 11, 279, 30023, 572, 4512, 438, 220, 16, 17, 48038, 11, 448, 1817, 53708, 1660, 279, 4680, 315, 220, 19, 18, 22, 13, 20, 40836, 315, 80717, 13, 1096, 7271, 702, 2474, 5497, 11, 448, 279, 30023, 1431, 4512, 438, 220, 15, 13, 19, 20, 18, 20, 24, 17, 18, 22, 20972, 382, 785, 15045, 12958, 11, 389, 279, 1008, 1424, 11, 572, 1156, 4512, 304, 279, 3309, 220, 16, 23, 339, 9294, 2337, 279, 8585, 22126, 13, 576, 8585, 15815, 315, 22393, 43124, 264, 1874, 311, 1855, 264, 501, 1849, 315, 18662, 429, 572, 3118, 389, 5810, 10659, 13, 2379, 4512, 279, 15045, 12958, 438, 279, 3072, 315, 220, 16, 6935, 315, 3015, 518, 1181, 7192, 17457, 11, 892, 374, 220, 19, 30937, 13, 1096, 7271, 702, 2474, 1012, 31728, 311, 387, 279, 3072, 315, 264, 3953, 34564, 315, 62227, 12, 404, 307, 2356, 45864, 8604, 518, 279, 7179, 21802, 315, 1205, 2796, 323, 72556, 382, 565, 24567, 315, 393, 3095, 323, 37888, 55385, 271, 3608, 25, 293, 287, 905, 271, 2121, 9733, 6788, 11, 16302, 525, 16626, 1483, 304, 279, 3639, 4180, 11, 1393, 84302, 525, 279, 5297, 18662, 315, 3072, 304, 1429, 1008, 5837, 13, 36428, 1741, 438, 28929, 11, 14919, 11, 323, 39408, 990, 1493, 8153, 315, 18662, 369, 5257, 9895, 1741, 438, 46726, 3871, 11, 25597, 11601, 7049, 11, 323, 28990, 279, 4680, 315, 11474, 382, 11209, 11, 448, 279, 7703, 79969, 315, 6559, 323, 279, 7602, 11, 432, 374, 10454, 803, 2989, 311, 387, 2952, 311, 5508, 1948, 8153, 315, 18662, 311, 19032, 13444, 13, 1200, 49417, 220, 16, 20, 22, 13, 23, 28060, 311, 20972, 374, 1101, 825, 3110, 315, 1246, 279, 5726, 311, 5508, 1948, 8153, 315, 18662, 374, 7565, 304, 6481, 2272, 382, 565, 73877, 271, 1109, 49417, 220, 16, 20, 22, 13, 23, 28060, 311, 20972, 374, 264, 4285, 1882, 429, 17601, 84192, 279, 3311, 315, 16302, 553, 279, 14409, 8168, 315, 220, 15, 13, 19, 20, 18, 20, 24, 17, 18, 22, 13, 4354, 11, 8660, 279, 3840, 323, 10431, 315, 16302, 323, 84302, 5707, 20017, 1119, 279, 7966, 3170, 1493, 8153, 315, 18662, 525, 2058, 1483, 3351, 13, 13139, 369, 2562, 11, 5821, 11, 476, 4345, 7966, 11, 279, 5726, 311, 5508, 1948, 8153, 315, 18662, 374, 264, 15172, 9947, 429, 646, 387, 1483, 304, 1657, 2155, 5671, 315, 2272, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 220, 16, 23, 65006, 46923, 12030, 369, 264, 33054, 46097, 11113, 382, 565, 576, 46923, 12030, 369, 264, 33054, 46097, 11113, 382, 1986, 1736, 686, 1779, 264, 6588, 3491, 369, 264, 5798, 5239, 3772, 11, 3491, 902, 13, 18, 12, 16, 24, 23237, 504, 8459, 13, 386, 638, 493, 473, 748, 2311, 11, 17702, 13688, 13, 1084, 374, 2567, 311, 12564, 279, 7373, 4179, 3082, 315, 279, 5798, 5239, 3772, 6839, 304, 23095, 220, 18, 12, 16, 24, 13, 576, 19766, 525, 60918, 369, 220, 18, 14, 19, 14924, 13, 576, 547, 8168, 374, 2661, 438, 6144, 311, 220, 15, 13, 24, 15, 382, 14374, 576, 19952, 3082, 369, 264, 33054, 46097, 11113, 382, 785, 5798, 5239, 3772, 17167, 315, 1378, 11744, 315, 356, 16, 15, 87, 17, 20, 323, 1378, 24477, 429, 614, 264, 12871, 315, 220, 16, 14, 17, 17568, 16, 16, 14924, 13, 576, 25755, 315, 1817, 11968, 374, 220, 16, 14, 17, 17122, 323, 279, 3084, 374, 220, 16, 16, 14924, 382, 1654, 686, 16045, 1493, 3040, 5424, 11, 2474, 582, 614, 1378, 11744, 582, 646, 16045, 279, 19952, 3082, 369, 825, 5496, 323, 30270, 553, 1378, 13, 34239, 11, 582, 646, 1477, 279, 3082, 315, 825, 11968, 323, 1221, 30270, 432, 553, 220, 17, 382, 3830, 279, 1965, 315, 5671, 369, 11744, 6633, 220, 16, 12, 20, 11, 582, 646, 1477, 429, 369, 3772, 356, 16, 15, 87, 17, 20, 1181, 3082, 374, 6144, 311, 220, 22, 13, 18, 20, 17122, 61, 17, 382, 2461, 264, 11968, 11, 432, 374, 4135, 311, 16045, 11, 279, 3082, 315, 264, 22756, 315, 320, 16, 14, 17, 21580, 87, 16, 16, 21580, 701, 279, 3082, 315, 825, 11968, 374, 6144, 311, 279, 1985, 315, 320, 16, 14, 17, 17568, 16, 16, 8, 279, 1102, 374, 220, 20, 13, 20, 15, 17122, 61, 17, 382, 785, 5671, 315, 279, 1378, 11744, 525, 6144, 311, 320, 17, 17568, 22, 13, 18, 20, 11730, 16, 19, 13, 22, 15, 17122, 61, 17, 624, 7983, 279, 3082, 315, 279, 1378, 24477, 16819, 320, 17, 9, 20, 13, 20, 15, 11730, 16, 16, 13, 15, 17122, 61, 17, 382, 785, 2629, 315, 5671, 686, 2968, 601, 264, 2790, 3082, 315, 220, 16, 19, 13, 22, 15, 17122, 61, 17, 11, 4486, 8300, 311, 279, 1790, 2168, 369, 803, 3565, 382, 785, 48839, 1483, 525, 315, 23033, 220, 18, 14, 19, 14924, 11, 311, 633, 279, 14178, 23033, 582, 912, 220, 16, 14, 23, 17122, 311, 279, 31842, 23033, 773, 279, 23033, 315, 279, 14178, 686, 387, 6144, 311, 220, 22, 14, 23, 14924, 382, 14374, 576, 4179, 3082, 369, 264, 33054, 46097, 11113, 382, 2461, 279, 46923, 12030, 369, 264, 33054, 46097, 11113, 11, 582, 1184, 311, 1477, 279, 4179, 5671, 369, 279, 1378, 11744, 323, 279, 4179, 3082, 369, 279, 1378, 24477, 382, 16, 15193, 279, 4179, 3082, 369, 24477, 990, 3772, 320, 16, 12, 16, 568, 1205, 614, 220, 19, 48839, 11, 323, 279, 3082, 315, 1493, 3040, 48839, 374, 6144, 311, 279, 14178, 23033, 553, 279, 1372, 315, 48839, 54916, 553, 279, 25755, 315, 279, 11968, 11, 419, 897, 686, 387, 95504, 504, 279, 19952, 3082, 315, 279, 24477, 382, 785, 1852, 3772, 220, 16, 12, 16, 11, 582, 646, 990, 311, 633, 279, 4179, 3082, 315, 279, 1378, 11744, 11, 1549, 582, 614, 3040, 48839, 20913, 279, 1320, 5520, 315, 279, 1378, 11744, 311, 279, 8416, 323, 4722, 24477, 382, 1654, 16045, 279, 3082, 315, 279, 19766, 553, 84192, 220, 19, 87, 279, 23033, 315, 279, 19766, 553, 279, 25755, 315, 279, 1320, 844, 315, 279, 356, 5496, 382, 785, 1590, 4179, 3082, 315, 279, 5798, 5239, 3772, 16819, 220, 17, 17, 13, 19, 17, 9334, 14924, 13, 576, 4179, 3082, 369, 11744, 374, 220, 16, 18, 13, 22, 19, 9334, 14924, 13, 576, 4179, 3082, 369, 279, 1378, 24477, 374, 220, 24, 13, 17, 20, 9334, 14924, 13, 5209, 8300, 311, 279, 1790, 14983, 2168, 369, 803, 3565, 382, 14374, 576, 46923, 12030, 369, 264, 33054, 46097, 11113, 382, 785, 1590, 897, 369, 279, 7373, 3082, 369, 264, 5798, 5239, 3772, 686, 387, 6144, 311, 547, 9, 2082, 11, 547, 374, 2661, 438, 6144, 311, 220, 15, 13, 24, 15, 11, 1221, 279, 7373, 3082, 315, 264, 5798, 5239, 3772, 686, 387, 6144, 311, 279, 1985, 315, 320, 52, 87, 2082, 8, 476, 220, 15, 13, 24, 87, 7, 16, 18, 13, 16, 22, 19, 10, 24, 13, 17, 20, 11730, 17, 15, 13, 16, 23, 17122, 61, 17, 382, 2461, 39156, 291, 3633, 11, 4486, 8300, 311, 7999, 220, 16, 21, 323, 220, 16, 22, 369, 279, 3565, 315, 264, 27956, 3491, 22079, 220, 18, 12, 19, 12, 18, 369, 20869, 3772, 5477, 10114, 291, 48839, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16, 20, 6527, 11, 220, 15, 23, 25, 19, 19, 271, 2, 3555, 374, 279, 4226, 311, 220, 22, 320, 18, 37892, 10, 19, 692, 10, 16, 198, 16, 13, 220, 16, 20, 6527, 11, 220, 15, 24, 25, 15, 22, 198, 15, 198, 35, 80133, 279, 220, 22, 382, 28, 17, 16, 10, 22, 87, 10, 17, 23, 61242, 1437, 553, 34171, 894, 3793, 429, 498, 646, 13, 284, 220, 19, 24, 10, 22, 87, 2014, 11625, 369, 1599, 498, 1184, 311, 633, 279, 3890, 7484, 13, 5145, 311, 653, 419, 553, 7218, 279, 220, 19, 24, 13, 93210, 220, 19, 24, 11, 1128, 498, 653, 825, 3108, 498, 614, 311, 1083, 653, 311, 279, 1008, 13, 2055, 498, 614, 481, 220, 19, 24, 28, 22, 87, 1431, 311, 633, 279, 1599, 7484, 21749, 2176, 11067, 553, 8094, 382, 12, 22, 25387, 198, 17, 13, 220, 16, 20, 6527, 11, 220, 16, 15, 25, 15, 17, 198, 15, 198, 22, 320, 18, 37892, 10, 19, 692, 17, 16, 488, 220, 22, 87, 488, 220, 17, 23, 271, 22, 87, 488, 220, 19, 24 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28609, 4340, 311, 4248, 18052, 304, 220, 18, 56599, 304, 47387, 271, 2610, 1414, 279, 220, 17, 95694, 1779, 18052, 11, 476, 71535, 594, 43570, 11, 323, 498, 1414, 279, 220, 19, 95694, 1779, 18052, 11, 476, 24525, 594, 43570, 11, 714, 653, 498, 1414, 279, 220, 18, 95694, 1779, 18052, 30, 36194, 264, 4238, 11, 1486, 4158, 11, 323, 697, 1790, 1809, 315, 32719, 686, 1896, 5021, 311, 738, 705, 1091, 311, 1486, 13, 1446, 646, 11075, 1779, 18052, 304, 2326, 10797, 448, 39780, 11, 476, 2041, 39780, 13, 1752, 2987, 315, 1493, 5413, 311, 975, 7460, 1045, 5020, 3873, 1486, 504, 697, 14704, 11, 714, 7196, 498, 646, 2287, 1059, 9255, 518, 279, 1191, 382, 14374, 6730, 220, 16, 24515, 4248, 18052, 304, 14513, 56599, 1393, 16603, 1677, 271, 16, 13, 220, 16, 198, 9860, 697, 6210, 82871, 4637, 311, 384, 19, 13, 758, 2176, 315, 1493, 5413, 279, 1376, 6573, 369, 498, 374, 697, 16259, 13, 576, 16259, 374, 279, 6573, 429, 498, 525, 2087, 311, 990, 311, 11075, 279, 1779, 18052, 11, 773, 697, 1156, 3271, 1265, 387, 311, 1787, 705, 3550, 369, 279, 16259, 311, 3271, 84018, 745, 13, 37627, 279, 6210, 82871, 4637, 1378, 12621, 311, 9334, 384, 19, 82591, 419, 320, 68, 19, 4292, 6667, 1416, 498, 2299, 49283, 448, 46876, 292, 32719, 44197, 11, 1779, 700, 279, 28609, 4340, 4549, 311, 15625, 705, 624, 6667, 1634, 1632, 438, 66717, 697, 27906, 11, 498, 1184, 697, 14704, 311, 28141, 862, 11477, 13, 1416, 3691, 1221, 10797, 862, 53206, 53455, 220, 17, 12621, 311, 282, 20, 311, 24983, 4158, 11, 279, 1779, 18052, 304, 2326, 10797, 374, 389, 4894, 17, 13, 220, 17, 198, 27429, 697, 14704, 594, 82871, 518, 282, 20, 13, 4695, 990, 697, 82871, 311, 12322, 697, 14704, 594, 10847, 82871, 553, 22818, 389, 279, 37236, 13, 2806, 657, 11, 429, 594, 384, 19, 5848, 20, 13, 5692, 498, 525, 4460, 311, 14907, 697, 14704, 311, 3271, 862, 22984, 82871, 4637, 1378, 12621, 311, 342, 20, 11, 773, 432, 374, 16263, 697, 82871, 624, 6667, 1096, 4436, 944, 264, 7785, 3271, 504, 697, 14704, 11, 714, 7196, 498, 646, 326, 617, 1059, 1119, 432, 624, 6667, 576, 4522, 315, 419, 3271, 374, 311, 1281, 2704, 4302, 646, 2504, 1007, 697, 6021, 311, 697, 14704, 594, 6210, 1283, 498, 1281, 697, 1790, 3271, 624, 18, 13, 220, 18, 198, 9860, 697, 5807, 16259, 311, 305, 20, 320, 48, 71, 20, 568, 4248, 18052, 0, 4695, 498, 646, 3271, 697, 16259, 389, 279, 37236, 311, 305, 20, 323, 498, 614, 697, 19386, 6210, 47709, 13, 2938, 594, 1809, 916, 0, 1446, 3278, 5293, 429, 421, 697, 14704, 18604, 944, 7726, 862, 82871, 4637, 1378, 304, 862, 1537, 2484, 807, 1410, 614, 19299, 1007, 697, 16259, 553, 10687, 264, 53455, 304, 1059, 1616, 553, 342, 21, 624, 6667, 1446, 2167, 1184, 697, 14704, 311, 1486, 1119, 697, 6078, 311, 6815, 1007, 419, 2326, 95694, 1779, 18052, 624, 19, 13, 220, 19, 198, 7220, 700, 1779, 18052, 0, 4695, 498, 646, 1896, 279, 6210, 448, 697, 16259, 389, 279, 37236, 323, 18383, 264, 1602, 29362, 12560, 13, 1416, 697, 14704, 702, 20866, 1119, 279, 22862, 807, 686, 4363, 387, 264, 2699, 56030, 11, 773, 1513, 944, 342, 1239, 2238, 1753, 2219, 14374, 6730, 220, 17, 24515, 4248, 18052, 304, 14513, 56599, 17147, 16603, 1677, 271, 16, 13, 220, 16, 198, 9860, 697, 6210, 82871, 311, 294, 18, 13, 1096, 374, 264, 1602, 4428, 1714, 311, 279, 3681, 825, 13, 1446, 525, 13221, 37078, 311, 633, 697, 14704, 594, 33242, 323, 22984, 393, 39996, 4637, 825, 323, 1378, 31340, 15576, 11, 1393, 66717, 697, 16259, 311, 7283, 432, 311, 3271, 8630, 305, 20, 13, 576, 835, 1102, 374, 279, 1852, 438, 279, 3681, 1714, 624, 6667, 1446, 525, 4460, 311, 24983, 697, 14704, 311, 3271, 1059, 33242, 323, 22984, 393, 39996, 624, 6667, 1446, 1184, 498, 14704, 311, 5889, 553, 12678, 700, 1059, 33242, 82871, 825, 9334, 311, 282, 21, 624, 6667, 1084, 646, 1083, 975, 421, 1340, 10797, 1059, 22984, 82871, 4637, 1378, 31340, 389, 419, 2484, 11, 438, 1293, 438, 1340, 10797, 279, 33242, 82871, 389, 1059, 1790, 3271, 624, 17, 13, 220, 17, 198, 9860, 697, 16259, 82871, 4637, 311, 384, 19, 13, 576, 1790, 3271, 369, 498, 311, 1281, 702, 311, 1910, 705, 697, 16259, 773, 432, 646, 633, 1119, 264, 1779, 18052, 2309, 389, 279, 1790, 3271, 13, 2014, 653, 419, 11, 3271, 279, 5807, 6210, 82871, 8305, 1378, 31340, 311, 384, 19, 13, 4695, 498, 614, 8930, 705, 458, 61703, 369, 697, 16259, 311, 5545, 305, 20, 624, 6667, 758, 1973, 311, 2797, 279, 1616, 311, 697, 14704, 594, 6210, 498, 1184, 1059, 311, 3271, 1059, 22984, 82871, 8305, 1378, 12621, 311, 342, 20, 624, 18, 13, 220, 18, 198, 9860, 279, 5807, 16259, 311, 305, 20, 320, 48, 71, 20, 568, 4248, 18052, 0, 1597, 429, 594, 432, 11, 498, 614, 30591, 697, 14704, 594, 6210, 304, 279, 1852, 2309, 438, 279, 3681, 1714, 11, 714, 419, 882, 498, 1521, 432, 2041, 1496, 39780, 264, 3175, 6573, 13, 4050, 13, 2573, 13, 14152, 13, 6065, 7873, 16, 921, 6667, 13759, 11, 419, 5868, 4285, 323, 432, 374, 13, 2055, 1513, 944, 1720, 432, 311, 975, 1602, 3545, 4894, 6667, 758, 10126, 11, 1052, 525, 20907, 315, 26244, 389, 419, 13, 576, 1376, 10797, 525, 3709, 697, 16259, 311, 305, 20, 11, 323, 697, 14704, 594, 33242, 323, 22984, 393, 39996, 700, 315, 279, 1616, 315, 1059, 6210, 382, 565, 12062, 1207, 35021, 271, 5890, 198, 6667, 2980, 847, 14704, 32584, 311, 633, 700, 315, 1779, 18052, 979, 847, 27906, 374, 389, 1207, 71, 20, 5267, 29707, 4340, 64724, 198, 2753, 11, 1052, 525, 9666, 304, 279, 1616, 0, 1084, 374, 1083, 11816, 311, 32584, 700, 315, 1779, 624, 6667, 3555, 1265, 358, 653, 421, 432, 3171, 944, 975, 5267, 29707, 4340, 64724, 198, 2610, 646, 1486, 2441, 8568, 13, 1084, 2765, 944, 2677, 975, 323, 432, 5990, 1172, 4278, 448, 4217, 429, 525, 10740, 46850, 304, 279, 1809, 624, 6667, 3197, 646, 847, 11477, 14291, 448, 847, 926, 562, 5267, 29707, 4340, 64724, 198, 8420, 525, 279, 4682, 25, 979, 697, 53206, 323, 46609, 525, 537, 304, 1948, 697, 926, 562, 323, 11477, 11, 697, 11477, 323, 926, 562, 614, 537, 7726, 3602, 11, 1052, 525, 902, 9666, 22818, 279, 3550, 1948, 697, 926, 562, 323, 11477, 11, 323, 979, 3730, 773, 686, 537, 1102, 304, 1779, 624, 6667, 3555, 646, 358, 653, 421, 279, 14002, 2781, 3171, 944, 3271, 438, 358, 6426, 5267, 29707, 4340, 64724, 198, 2679, 279, 14704, 3171, 944, 1281, 279, 10797, 429, 2138, 498, 311, 1779, 18052, 1435, 37907, 304, 2326, 10797, 11, 1486, 2441, 8568, 13, 1084, 2765, 944, 2677, 975, 323, 432, 5990, 1172, 4278, 448, 4217, 879, 525, 10740, 46850, 304, 279, 1809, 624, 6667, 2585, 653, 358, 3271, 279, 11477, 5267, 29707, 4340, 64724, 198, 2610, 646, 3271, 697, 11477, 304, 894, 5106, 11, 1101, 1075, 279, 27906, 11, 714, 1172, 825, 9334, 518, 264, 882, 13, 2823, 16585, 1380, 498, 3271, 697, 11477, 11, 4764, 26, 279, 1809, 374, 916, 421, 697, 14704, 4990, 697, 11477, 624, 6667, 2980, 582, 58716, 9666, 5267, 29707, 4340, 64724, 198, 8373, 1251, 10902, 5601, 10693, 4217, 311, 11731, 17006, 9666, 11, 714, 14279, 498, 646, 58716, 264, 17006, 6573, 1172, 553, 22136, 264, 53455, 624, 6667, 3555, 374, 264, 1779, 18052, 5267, 29707, 4340, 64724, 198, 2610, 11075, 1779, 18052, 320, 437, 3164, 279, 1809, 8, 553, 24047, 697, 14704, 594, 11477, 304, 1779, 304, 1741, 264, 1616, 429, 279, 14704, 4157, 12449, 1779, 304, 806, 37907, 1790, 3271, 624, 6667, 2585, 1265, 358, 2309, 279, 11477, 5267, 29707, 4340, 64724, 198, 2461, 16016, 9895, 11, 279, 11477, 374, 3545, 330, 3829, 832, 1335, 892, 374, 11247, 304, 2585, 311, 26889, 304, 47387, 624, 6667, 52196, 944, 1052, 264, 16523, 1588, 30, 576, 1156, 1714, 702, 279, 11477, 323, 27906, 389, 2155, 31340, 311, 279, 2086, 1714, 624, 2403, 279, 37840, 3403, 525, 4396, 13, 576, 11477, 320, 4197, 279, 5312, 389, 1909, 8, 8471, 389, 264, 9334, 315, 279, 14002, 1894, 13, 576, 27906, 8471, 389, 279, 12579, 7889, 9334, 624, 6667, 2160, 1052, 1741, 3166, 438, 264, 220, 16, 3271, 1779, 18052, 5267, 29707, 4340, 64724, 198, 2753, 11, 1052, 4436, 944, 13, 576, 1616, 1493, 4937, 1779, 16457, 975, 374, 553, 7218, 1526, 279, 44519, 577, 4158, 9334, 37236, 320, 874, 33654, 31340, 305, 20, 11, 342, 21, 11, 282, 22, 11, 323, 384, 23, 568, 758, 1973, 311, 1910, 705, 419, 37236, 11, 1378, 53455, 10797, 1969, 12170, 624, 6667, 3555, 374, 1779, 0, 451, 1380, 1265, 358, 3271, 847, 6573, 311, 30, 2585, 311, 1779, 847, 14704, 594, 6573, 30, 2806, 1779, 18052, 198, 17, 15, 15, 5766, 2115, 271, 565, 467, 14857, 271, 6667, 1752, 806, 311, 975, 498, 1184, 458, 14704, 879, 374, 2987, 1602, 47466, 11, 476, 8365, 537, 5008, 34347, 624, 6667, 2823, 54174, 315, 4460, 419, 304, 264, 803, 6001, 1809, 11, 438, 432, 537, 4363, 311, 2525, 1007, 13, 1416, 807, 1513, 944, 1486, 1290, 1119, 697, 1424, 11, 279, 220, 18, 95694, 1779, 18052, 2765, 944, 975, 382, 565, 20093, 1446, 3278, 14656, 271, 6667, 47387, 4479, 323, 9666, 198, 6667, 85705, 14704 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1419, 4102, 2468, 4102, 3600, 271, 28463, 60, 508, 16, 60, 508, 17, 60, 508, 18, 60, 508, 19, 60, 508, 20, 60, 508, 21, 60, 508, 22, 60, 508, 23, 60, 508, 220, 24, 2279, 508, 16, 15, 60, 508, 16, 16, 60, 508, 16, 17, 60, 508, 16, 18, 60, 508, 16, 19, 60, 508, 16, 20, 60, 508, 16, 21, 60, 508, 16, 22, 60, 508, 16, 23, 60, 508, 16, 24, 60, 508, 17, 15, 60, 508, 17, 16, 60, 508, 17, 17, 60, 508, 17, 18, 60, 508, 17, 19, 60, 508, 17, 20, 60, 508, 17, 21, 60, 508, 17, 22, 60, 508, 17, 23, 60, 508, 17, 24, 60, 508, 18, 15, 60, 508, 18, 16, 60, 508, 18, 17, 60, 508, 18, 18, 60, 508, 18, 19, 60, 508, 18, 20, 60, 508, 18, 21, 60, 508, 18, 22, 60, 508, 18, 23, 60, 508, 18, 24, 60, 508, 19, 15, 60, 508, 19, 16, 60, 508, 19, 17, 60, 508, 19, 18, 60, 508, 19, 19, 60, 508, 19, 20, 60, 508, 19, 21, 60, 508, 19, 22, 60, 508, 19, 23, 60, 508, 19, 24, 60, 508, 20, 15, 60, 508, 20, 16, 60, 508, 20, 17, 60, 508, 20, 18, 60, 508, 20, 19, 60, 508, 20, 20, 60, 508, 20, 21, 60, 508, 20, 22, 2533, 24, 271, 1782, 2456, 315, 24527, 892, 25271, 279, 22577, 2355, 315, 3220, 916, 882, 13, 758, 64149, 59584, 291, 28117, 686, 387, 14078, 304, 11113, 220, 24, 13, 19, 382, 2121, 264, 28674, 315, 279, 3403, 17508, 11, 432, 374, 8036, 429, 1378, 476, 803, 14713, 315, 3220, 44591, 518, 2155, 3501, 304, 882, 4157, 387, 7707, 3080, 678, 279, 14713, 525, 40065, 476, 47674, 311, 264, 4185, 2400, 13, 1096, 4185, 2400, 374, 2598, 279, 12313, 2400, 11, 323, 279, 23606, 892, 15421, 23156, 476, 31062, 1817, 8160, 311, 279, 12313, 2400, 374, 2598, 279, 23606, 315, 897, 382, 3966, 3671, 892, 374, 3545, 10950, 304, 279, 6291, 315, 37906, 315, 897, 374, 279, 882, 13549, 13, 362, 882, 13549, 374, 264, 825, 32420, 13549, 304, 892, 8153, 315, 882, 525, 16878, 3156, 279, 825, 12871, 323, 14173, 525, 9099, 389, 279, 13549, 518, 279, 8311, 3501, 13, 7036, 429, 14173, 304, 825, 5106, 525, 9099, 389, 279, 1909, 315, 279, 13549, 323, 14173, 304, 279, 1008, 5106, 525, 9099, 389, 279, 5622, 315, 279, 13549, 13, 576, 12313, 2400, 374, 3371, 9253, 553, 458, 17921, 13, 19037, 220, 17, 13, 16, 374, 458, 3110, 315, 264, 882, 13549, 1483, 304, 279, 6291, 315, 13383, 220, 17, 13, 19, 382, 785, 882, 13549, 374, 537, 5871, 304, 279, 6291, 315, 37906, 315, 897, 26, 432, 3424, 16234, 458, 12296, 304, 9124, 4849, 279, 3491, 13, 3085, 1045, 6588, 279, 6604, 646, 5990, 12965, 1117, 448, 264, 882, 13549, 389, 34288, 5322, 13, 4354, 11, 882, 46187, 525, 5990, 10950, 304, 279, 6291, 315, 803, 6351, 5322, 13, 3776, 315, 279, 5888, 315, 23628, 2734, 374, 429, 279, 5754, 315, 279, 12313, 2400, 3643, 902, 6672, 304, 279, 4226, 12180, 13, 14301, 11, 1052, 374, 264, 2155, 23606, 315, 897, 369, 1817, 12313, 2400, 11, 714, 807, 678, 8193, 279, 1852, 4226, 13, 1096, 2989, 3343, 315, 23628, 2734, 686, 387, 35662, 304, 279, 6291, 315, 13383, 220, 17, 13, 19, 382, 785, 6604, 374, 84332, 429, 1212, 1008, 12624, 315, 2734, 11, 384, 1302, 13, 4285, 2734, 476, 4285, 11089, 11, 279, 5754, 315, 264, 12313, 2400, 1558, 7802, 279, 4226, 12180, 13, 1096, 45380, 3055, 1549, 279, 36988, 96149, 304, 1667, 4285, 2734, 476, 4285, 11089, 382, 83, 78698, 576, 6604, 1265, 387, 7853, 429, 279, 5322, 15860, 40065, 2750, 323, 3042, 2750, 2669, 6509, 304, 279, 1156, 1378, 29632, 525, 10295, 315, 37906, 315, 897, 13, 13383, 220, 17, 13, 19, 45380, 264, 803, 4586, 943, 315, 3491, 382, 13314, 220, 17, 13, 19, 758, 470, 369, 264, 11222, 311, 5258, 32882, 21, 15, 15, 518, 279, 835, 315, 220, 23, 23209, 11, 264, 1697, 32908, 311, 2291, 32882, 16, 15, 15, 518, 3055, 11, 32882, 17, 15, 15, 518, 279, 835, 315, 220, 20, 1635, 11, 323, 311, 1281, 264, 4623, 8160, 518, 25539, 645, 835, 315, 220, 16, 15, 1635, 13, 7379, 279, 8160, 518, 279, 835, 315, 220, 16, 15, 1635, 421, 279, 46755, 4379, 315, 2734, 374, 220, 23, 4, 67613, 18267, 1020, 1832, 382, 1654, 4880, 1156, 975, 279, 3491, 448, 264, 12313, 2400, 315, 279, 3042, 13, 576, 882, 13549, 374, 6839, 304, 19037, 220, 17, 13, 16, 382, 1158, 287, 315, 264, 3491, 34393, 3834, 387, 2155, 11649, 5193, 279, 1459, 315, 1651, 13, 25311, 323, 22932, 1319, 81, 1475, 504, 2176, 3501, 315, 1651, 4994, 11, 323, 279, 6604, 1265, 537, 1077, 279, 2155, 17133, 2449, 387, 264, 2530, 315, 21340, 382, 2121, 458, 3110, 11, 19091, 279, 10219, 304, 11113, 220, 16, 13, 22, 15860, 279, 990, 315, 279, 4244, 330, 34678, 1, 476, 330, 66209, 1189, 2014, 1045, 12726, 279, 3409, 330, 34678, 1, 1231, 2803, 803, 4622, 504, 279, 348, 24806, 1459, 315, 279, 69619, 11, 1393, 330, 66209, 1, 1231, 2803, 803, 4622, 504, 279, 348, 24806, 1459, 315, 279, 47475, 13, 8999, 1008, 1741, 10295, 1410, 387, 21870, 21974, 31137, 5896, 14131, 3545, 21058, 803, 1091, 1378, 9677, 13, 1752, 3110, 11, 264, 2562, 7474, 41018, 1181, 4379, 315, 470, 389, 264, 3598, 9162, 304, 264, 501, 6008, 374, 6398, 448, 264, 12557, 24779, 315, 9677, 13, 4354, 11, 279, 6770, 16170, 7881, 311, 23643, 1378, 24031, 14131, 646, 30268, 387, 11577, 311, 23643, 1493, 803, 6351, 14131, 382, 67, 8, 758, 14976, 8357, 15860, 2734, 279, 56626, 646, 3635, 30615, 13, 8999, 3793, 614, 54761, 49700, 320, 68, 1302, 13, 1490, 279, 10219, 389, 279, 990, 315, 279, 3409, 330, 27359, 1, 304, 11113, 220, 16, 13, 22, 568, 23405, 11, 438, 582, 4880, 1490, 304, 72720, 29632, 1045, 3793, 1483, 25822, 653, 537, 20001, 458, 41679, 4008, 315, 279, 14131, 6398, 320, 68, 1302, 13, 1490, 279, 10219, 389, 279, 3793, 330, 1020, 34494, 36925, 14636, 1, 323, 330, 1020, 34494, 1737, 361, 1, 304, 11113, 220, 18, 13, 18, 568, 17375, 11, 1657, 9677, 6398, 304, 5896, 14131, 4936, 653, 537, 2677, 990, 3793, 448, 279, 23560, 49700, 323, 17473, 12985, 304, 419, 2311, 13, 576, 6604, 374, 81985, 3304, 304, 1931, 30084, 8357, 311, 1401, 7797, 279, 10982, 3793, 323, 387, 3654, 311, 3535, 279, 4734, 6993, 315, 279, 5896, 14131, 304, 3405, 13, 2619, 4936, 374, 537, 2790, 28137, 304, 56626, 4221, 279, 3460, 323, 16807, 1372, 315, 9677, 6398, 304, 5896, 14131, 15860, 2734, 382, 17, 13, 20, 468, 5757, 21792, 3008, 26827, 271, 2132, 374, 264, 15811, 17508, 304, 279, 10126, 315, 2734, 429, 279, 897, 315, 458, 3311, 315, 3220, 518, 894, 2661, 1459, 304, 882, 13798, 5193, 279, 882, 25333, 2474, 279, 3220, 572, 7171, 304, 279, 3267, 476, 5193, 279, 882, 892, 686, 655, 7477, 304, 279, 9136, 9280, 1573, 432, 374, 7171, 13, 1205, 614, 2669, 3884, 419, 304, 1657, 315, 279, 10295, 323, 22932, 6509, 8450, 3041, 304, 279, 1156, 1378, 29632, 382, 1986, 17508, 374, 3545, 31871, 438, 279, 17843, 315, 279, 882, 897, 315, 3220, 13, 1096, 1882, 1035, 387, 304, 12872, 311, 5896, 28117, 537, 15860, 279, 2456, 315, 2734, 11, 304, 892, 1142, 432, 1035, 387, 1053, 429, 1741, 28117, 653, 537, 15282, 279, 882, 897, 315, 3220, 13, 576, 6604, 374, 84332, 429, 330, 2758, 30656, 315, 279, 882, 897, 315, 3220, 1, 25963, 279, 2456, 315, 2734, 11, 714, 537, 271, 23, 220, 24, 220, 16, 15, 220, 21, 15, 15, 271, 22029, 220, 17, 13, 16, 4120, 35261, 369, 13383, 220, 17, 13, 19, 271, 12549, 2734, 374, 67613, 18267, 1020, 1832, 11, 582, 686, 1760, 882, 18346, 304, 4279, 56088, 13, 576, 23606, 315, 897, 374, 271, 16, 15, 15, 488, 220, 17, 15, 15, 85, 28957, 488, 1599, 3334, 284, 220, 21, 15, 15, 85, 220, 16, 518, 220, 19, 15441, 21, 15, 15, 85, 72977, 220, 16, 15, 15, 481, 220, 17, 15, 15, 85, 27, 271, 21, 15, 15, 14618, 20, 18, 18, 24, 16, 8, 481, 220, 16, 15, 15, 481, 220, 17, 15, 15, 14618, 21, 22, 20, 20, 21, 8, 659, 19, 20, 21, 18, 24, 271, 28, 32882, 16, 23, 21, 13, 22, 21, 382, 1654, 1410, 1083, 614, 11882, 264, 2155, 12313, 2400, 323, 12180, 264, 2155, 23606, 315, 897, 13, 1752, 3110, 11, 421, 279, 12313, 2400, 1033, 11882, 311, 387, 279, 835, 315, 279, 220, 16, 15, 339, 1042, 11, 1221, 279, 17921, 304, 279, 882, 13549, 1035, 387, 1212, 220, 16, 15, 323, 279, 23606, 315, 897, 1035, 387, 271, 16, 15, 15, 7, 16, 13, 15, 19, 8, 17, 15, 488, 220, 17, 15, 15, 7, 16, 13, 15, 19, 8, 11616, 488, 1599, 284, 220, 21, 15, 15, 7, 16, 13, 15, 19, 52294, 55, 284, 220, 21, 15, 15, 7, 16, 13, 15, 19, 9940, 481, 220, 16, 15, 15, 7, 16, 13, 15, 19, 8, 17, 11616, 481, 220, 17, 15, 15, 7, 16, 13, 15, 19, 8, 11616, 284, 220, 21, 15, 15, 7, 16, 13, 16, 21, 24, 23, 21, 7287, 220, 16, 15, 15, 7, 17, 13, 16, 24, 16, 16, 17, 7287, 17, 15, 15, 7, 16, 13, 19, 23, 15, 17, 19, 8, 284, 32882, 16, 23, 21, 13, 22, 21, 382, 44500, 11, 279, 1852, 4226, 374, 12180, 13, 576, 1378, 37906, 315, 897, 525, 13578, 13, 1416, 2176, 11067, 315, 279, 1156, 825, 525, 54916, 553, 320, 16, 13, 15, 19, 8, 11616, 11, 279, 2086, 825, 374, 12180, 13, 576, 6604, 646, 10146, 429, 421, 1008, 12313, 12713, 525, 11882, 11, 279, 1852, 4226, 374, 12180, 382, 17, 13, 21, 61395, 22236, 271, 2121, 14078, 304, 11113, 220, 17, 13, 19, 11, 421, 894, 2326, 315, 279, 3040, 6770, 10272, 9606, 16262, 1119, 458, 2734, 3491, 525, 2661, 11, 1221, 279, 11737, 646, 387, 10838, 13, 758, 419, 3772, 582, 2908, 279, 6534, 304, 892, 279, 3084, 315, 279, 9162, 4168, 374, 279, 9788, 382, 785, 1850, 1714, 315, 21828, 369, 9788, 882, 15860, 264, 3175, 8160, 374, 311, 990, 89936, 1011, 13, 1096, 14762, 686, 387, 35662, 304, 13383, 220, 17, 13, 20, 13, 1634, 16317, 3403, 304, 11113, 220, 17, 13, 19, 11, 582, 525, 25538, 279, 18048, 315, 264, 17822, 29952, 448, 58755, 323, 89936, 21220, 5746, 382, 2082, 10555, 5486, 448, 2686, 13403, 429, 646, 387, 1483, 421, 1741, 264, 29952, 374, 34987, 374, 1230, 682, 28287, 297, 2302, 304, 279, 2734, 12632, 13, 1096, 14762, 374, 1083, 35662, 304, 13383, 220, 17, 13, 20, 382, 32, 6534, 7025, 47182, 304, 892, 3807, 14173, 1865, 518, 5257, 3501, 304, 882, 525, 311, 387, 12575, 553, 825, 8160, 7857, 2673, 6144, 311, 279, 2629, 271, 1986, 56204, 374, 3371, 9253, 553, 259, 323, 374, 3545, 2598, 1667, 279, 1714, 315, 3232, 657, 882, 382, 2132, 374, 3204, 311, 12118, 429, 279, 897, 315, 259, 374, 2677, 7046, 1091, 279, 830, 897, 315, 259, 11, 476, 11, 68387, 11, 429, 279, 3042, 897, 1667, 279, 1714, 315, 3232, 657, 882, 374, 9155, 1091, 279, 830, 3042, 897, 382, 37175, 32676, 1817, 6144, 311, 348, 220, 17, 32676, 1817, 6144, 311, 348, 11, 323, 773, 13241, 3080, 1052, 525, 274, 55063, 32676, 1817, 6144, 311, 348, 3263, 576, 34784, 3076, 315, 1493, 32676, 374, 271, 50, 73, 85, 488, 328, 17, 53, 59454, 20, 73, 488, 220, 17, 59454, 785, 52484, 3076, 315, 1493, 32676, 374, 271, 11209, 11, 582, 1414, 429, 279, 34784, 3076, 315, 308, 6785, 5109, 11, 537, 678, 315, 14835, 892, 525, 6144, 11, 374, 7046, 1091, 279, 52484, 3076, 11, 323, 8450, 582, 614, 271, 3172, 85, 29, 488, 328, 17, 85, 488, 7288, 7288, 7288, 488, 274, 85312, 20, 73, 488, 220, 17, 59454, 10, 220, 20, 55063, 271, 1055, 279, 1008, 14173, 13, 576, 3491, 374, 311, 1477, 279, 1459, 304, 882, 518, 892, 279, 825, 8160, 1265, 387, 1865, 1741, 429, 432, 374, 13578, 304, 897, 311, 279, 14173, 1865, 25156, 382, 10061, 14713, 274, 21172, 17, 11, 659, 659, 1154, 82, 55063, 387, 7171, 518, 3039, 75371, 11, 75371, 13, 7288, 7288, 7288, 659, 15576, 13, 576, 3491, 374, 311, 1477, 882, 259, 11, 1741, 259, 3808, 266, 488, 32882, 17, 488, 7288, 7288, 7288, 488, 7171, 518, 882, 259, 374, 13578, 311, 8988, 645, 14173, 315, 1154, 7288, 7288, 659, 353, 77, 1865, 25156, 382, 785, 1320, 484, 43086, 23606, 315, 897, 374, 271, 3759, 11, 488, 549, 30, 17, 488, 7288, 7288, 7288, 488, 308, 29, 284, 488, 220, 17, 488, 7288, 7288, 7288, 488, 647, 1, 21974, 8206, 374, 825, 23606, 304, 825, 9788, 259, 13, 1634, 458, 10158, 11, 279, 6604, 686, 387, 31288, 291, 311, 1477, 458, 4734, 7493, 369, 259, 382, 2121, 264, 1156, 56204, 11, 259, 374, 3545, 16588, 438, 264, 36824, 5461, 315, 279, 5257, 3039, 315, 8160, 11, 1380, 279, 14324, 525, 279, 5257, 14713, 7171, 11, 600, 1734, 382, 654, 1489, 69, 43, 284, 595, 61345, 320, 17, 13, 24, 692, 785, 2115, 24413, 3108, 374, 279, 830, 3042, 897, 892, 35275, 279, 3042, 897, 2661, 553, 279, 1714, 315, 3232, 657, 882, 389, 279, 1290, 24413, 3108, 13, 14301, 11, 279, 897, 315, 259, 504, 14806, 320, 17, 13, 24, 8, 374, 2677, 7046, 1091, 279, 830, 897, 315, 259, 504, 14806, 320, 17, 13, 23, 3593, 785, 1714, 315, 3232, 657, 882, 374, 5390, 304, 41018, 279, 5461, 3084, 315, 5896, 14131, 13, 1096, 3766, 686, 387, 14078, 4623, 304, 11113, 220, 24, 13, 23, 382, 14037, 7040, 3405, 3545, 4588, 374, 1246, 1293, 432, 4990, 3220, 311, 1990, 518, 264, 2661, 4379, 315, 2734, 13, 1205, 646, 23643, 419, 3491, 438, 11017, 1447, 70, 2249, 271, 7, 16, 488, 220, 15, 1, 284, 220, 17, 308, 1487, 28584, 488, 220, 15, 284, 1487, 70, 17, 271, 2132, 374, 3204, 311, 42430, 458, 56204, 311, 279, 4734, 1102, 2661, 304, 14806, 271, 7, 17, 13, 16, 15, 8, 438, 11017, 1447, 839, 11, 220, 17, 271, 839, 291, 488, 220, 15, 659, 21, 24, 18, 16, 271, 839, 12950, 75, 488, 220, 15, 271, 785, 2086, 8168, 25070, 369, 600, 284, 220, 23, 4, 374, 220, 16, 13, 15, 18, 24, 20, 13, 14301, 582, 614, 271, 7, 17, 13, 16, 16, 692, 1986, 374, 13814, 2598, 279, 5912, 315, 220, 22, 17, 11, 2474, 432, 646, 387, 9251, 7069, 553, 49702, 220, 22, 17, 553, 279, 4379, 315, 2734, 13302, 438, 264, 11414, 320, 72, 1734, 13, 438, 220, 16, 15, 15, 14, 3593, 785, 5912, 315, 220, 22, 17, 18644, 28292, 13382, 3059, 916, 264, 6884, 2088, 315, 2734, 7813, 13, 38054, 1388, 2750, 525, 3897, 304, 6633, 220, 17, 13, 16, 382, 6633, 220, 17, 13, 16, 17287, 315, 4120, 1084, 37607, 17633, 311, 7093, 19775, 315, 2734, 18100, 315, 220, 22, 17, 74480, 897, 220, 16, 22, 13, 21, 22, 220, 16, 16, 13, 24, 15, 220, 24, 13, 15, 16, 220, 22, 13, 17, 22, 220, 21, 13, 16, 17, 220, 19, 13, 16, 24, 271, 13314, 220, 17, 13, 20, 7379, 279, 3084, 315, 882, 5871, 369, 32882, 16, 15, 15, 15, 311, 46276, 311, 32882, 16, 20, 15, 15, 421, 27991, 518, 220, 21, 4, 817, 86657, 87324, 18267, 1020, 1832, 25, 320, 16, 8, 553, 990, 315, 89936, 1011, 11, 323, 320, 17, 8, 553, 22876, 1095, 304, 279, 2734, 12632, 382, 10061, 308, 387, 279, 1372, 315, 4279, 56088, 13, 576, 23606, 315, 897, 374, 271, 16, 15, 15, 15, 7, 16, 13, 15, 18, 9940, 284, 220, 16, 20, 15, 15, 320, 16, 13, 15, 18, 9940, 284, 16, 13, 20, 382, 16, 13, 12091, 89936, 1011, 271, 77, 1487, 619, 13, 15, 18, 284, 1487, 75, 13, 20, 1487, 384, 220, 16, 12, 20, 659, 19, 15, 20, 19, 21, 20, 271, 839, 11, 220, 16, 13, 15, 18, 271, 44500, 11, 279, 1372, 315, 1635, 374, 220, 21, 13, 23, 20, 24, 382, 13, 15, 17, 24, 20, 20, 24, 271, 28, 220, 16, 18, 13, 22, 16, 22, 382, 17, 13, 5542, 279, 2734, 12632, 11, 320, 16, 13, 15, 18, 9940, 284, 220, 16, 13, 19, 21, 23, 20, 18, 323, 320, 16, 13, 15, 18, 9940, 284, 220, 16, 13, 20, 16, 17, 20, 24, 11, 773, 429, 271, 16, 19, 271, 16, 18, 366, 308, 366, 220, 16, 19, 13, 69648, 264, 13482, 36487, 271, 16, 13, 20, 15, 15, 15, 15, 481, 220, 16, 13, 19, 21, 23, 20, 18, 271, 77, 284, 220, 16, 18, 481, 40, 10452, 16, 13, 20, 16, 17, 20, 24, 481, 220, 16, 13, 19, 21, 23, 20, 18, 271, 28, 220, 16, 18, 13, 22, 16, 19, 382, 44500, 11, 279, 1372, 315, 1635, 374, 220, 21, 13, 23, 20, 22, 13, 1096, 1714, 374, 13578, 311, 279, 24335, 315, 4285, 2734, 2337, 279, 1590, 19419, 315, 458, 2734, 14409, 4168, 13, 1096, 1459, 572, 14078, 304, 803, 7716, 304, 11113, 220, 17, 13, 17, 382, 13314, 220, 17, 13, 21, 57876, 315, 32882, 16, 15, 15, 11, 32882, 17, 15, 15, 11, 323, 32882, 20, 15, 15, 525, 4152, 518, 279, 10335, 315, 1635, 220, 17, 11, 220, 18, 11, 323, 220, 23, 11, 15576, 13, 63964, 458, 7373, 4379, 315, 2734, 315, 220, 20, 4, 817, 86657, 11, 1477, 279, 1459, 304, 882, 518, 892, 264, 8160, 315, 32882, 23, 15, 15, 1035, 387, 13578, 25, 320, 16, 8, 553, 279, 1714, 315, 3232, 657, 882, 11, 323, 320, 17, 8, 553, 458, 4734, 1714, 13, 220, 16, 13, 3216, 279, 1714, 315, 3232, 657, 882, 1667, 14806, 320, 17, 13, 24, 692, 16, 15, 15, 7288, 220, 17, 220, 17, 15, 15, 7288, 220, 18, 481, 40, 12, 220, 20, 15, 15, 271, 16, 15, 15, 481, 71, 220, 17, 15, 15, 481, 40, 12, 220, 20, 15, 15, 220, 17, 13, 576, 4734, 23606, 315, 897, 374, 271, 23, 15, 15, 85, 284, 326, 19499, 85, 488, 220, 17, 15, 15, 85, 488, 220, 20, 15, 15, 85, 271, 28, 220, 21, 1635, 382, 28463, 60, 508, 16, 60, 508, 17, 60, 508, 18, 60, 508, 19, 60, 508, 20, 60, 508, 21, 60, 508, 22, 60, 508, 23, 60, 508, 220, 24, 2279, 508, 16, 15, 60, 508, 16, 16, 60, 508, 16, 17, 60, 508, 16, 18, 60, 508, 16, 19, 60, 508, 16, 20, 60, 508, 16, 21, 60, 508, 16, 22, 60, 508, 16, 23, 60, 508, 16, 24, 60, 508, 17, 15, 60, 508, 17, 16, 60, 508, 17, 17, 60, 508, 17, 18, 60, 508, 17, 19, 60, 508, 17, 20, 60, 508, 17, 21, 60, 508, 17, 22, 60, 508, 17, 23, 60, 508, 17, 24, 60, 508, 18, 15, 60, 508, 18, 16, 60, 508, 18, 17, 60, 508, 18, 18, 60, 508, 18, 19, 60, 508, 18, 20, 60, 508, 18, 21, 60, 508, 18, 22, 60, 508, 18, 23, 60, 508, 18, 24, 60, 508, 19, 15, 60, 508, 19, 16, 60, 508, 19, 17, 60, 508, 19, 18, 60, 508, 19, 19, 60, 508, 19, 20, 60, 508, 19, 21, 60, 508, 19, 22, 60, 508, 19, 23, 60, 508, 19, 24, 60, 508, 20, 15, 60, 508, 20, 16, 60, 508, 20, 17, 60, 508, 20, 18, 60, 508, 20, 19, 60, 508, 20, 20, 60, 508, 20, 21, 60, 508, 20, 22, 60 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4149, 10315, 57, 55471, 271, 43082, 553, 6762, 16, 13, 15920, 315, 279, 2701, 23393, 374, 5326, 304, 12344, 44197, 5267, 16, 13, 220, 22, 18, 13, 19, 856, 220, 16, 15, 20, 198, 17, 13, 220, 15, 13, 15, 24, 24768, 220, 16, 15, 22, 198, 18, 13, 220, 23, 15, 856, 220, 16, 15, 18, 198, 19, 13, 220, 19, 13, 17, 17, 856, 220, 16, 15, 4142, 18, 271, 17, 13, 15920, 315, 279, 2701, 374, 220, 15, 13, 15, 15, 15, 15, 15, 15, 15, 22, 15, 23, 5326, 304, 12344, 44197, 5267, 16, 13, 220, 22, 13, 15, 23, 856, 220, 16, 15, 4142, 23, 198, 17, 13, 220, 22, 13, 23, 856, 220, 16, 15, 4142, 23, 198, 18, 13, 220, 22, 15, 23, 856, 220, 16, 15, 4142, 16, 15, 198, 19, 13, 220, 22, 15, 13, 15, 23, 856, 220, 16, 15, 4142, 24, 271, 18, 13, 15920, 7493, 10868, 279, 7772, 1372, 5267, 16, 13, 220, 19, 15, 13, 16, 856, 220, 16, 15, 4142, 21, 198, 17, 13, 220, 19, 13, 16, 856, 220, 16, 15, 4142, 22, 198, 18, 13, 220, 15, 13, 19, 16, 16, 856, 220, 16, 15, 4142, 22, 198, 19, 13, 220, 15, 13, 15, 19, 15, 15, 16, 856, 220, 16, 15, 4142, 20, 198, 19, 13, 15920, 7493, 374, 6144, 311, 220, 16, 14, 23, 15, 15, 15, 5326, 304, 12344, 44197, 1939, 16, 13, 220, 23, 13, 15, 856, 220, 16, 15, 18, 198, 17, 13, 220, 16, 13, 17, 20, 856, 220, 16, 15, 4142, 19, 198, 18, 13, 220, 16, 17, 20, 856, 220, 16, 15, 4142, 20, 198, 19, 13, 220, 16, 13, 17, 20, 856, 220, 16, 15, 19, 271, 6667, 4149, 10315, 57, 55471, 21974, 333, 498, 1414, 4113, 911, 12344, 44197, 11, 671, 16, 11, 17, 1265, 387, 4135, 382, 2461, 671, 18, 11, 5508, 678, 311, 1852, 2355, 315, 220, 16, 15, 11, 1221, 432, 374, 4135, 311, 9429, 382, 2, 19, 25, 220, 16, 14, 23, 15, 15, 15, 284, 659, 15, 15, 15, 16, 17, 20, 271, 6667, 4149, 10315, 57, 55471, 21974, 16, 6138, 32, 198, 17, 6138, 34, 198, 18, 6138, 33, 198, 19, 6138, 33, 271, 565, 21476, 23382, 271, 16, 13, 16600, 4149, 271, 10253, 12344, 44197, 311, 21749, 279, 2701, 1378, 5109, 13, 17399, 279, 4226, 1667, 12344, 44197, 26, 14060, 518, 3245, 2326, 12122, 7482, 13, 220, 21, 13, 17, 7288, 220, 16, 15, 22, 608, 220, 19, 13, 16, 20, 7288, 220, 16, 15, 18, 271, 16, 16, 13, 220, 16, 22, 11, 220, 17, 15, 15, 5326, 304, 12344, 44197, 374, 220, 16, 13, 22, 856, 220, 16, 15, 61, 20, 220, 17, 16, 13, 220, 15, 13, 15, 15, 16, 15, 20, 5326, 304, 12344, 44197, 374, 220, 16, 13, 15, 20, 856, 220, 16, 15, 49309, 18, 525, 1493, 4396, 5267, 18, 13, 16600, 4149, 271, 23085, 315, 279, 2701, 23393, 374, 5326, 304, 12344, 44197, 5267, 19, 13, 16600, 4149, 271, 23085, 315, 279, 2701, 374, 220, 15, 13, 15, 15, 15, 15, 15, 15, 15, 22, 15, 23, 5326, 304, 12344, 44197, 5267, 20, 13, 16600, 6888, 271, 16, 13, 15920, 315, 279, 2701, 23393, 374, 5326, 304, 12344, 44197, 5267, 21, 13, 16600, 4149, 0, 5209, 4248, 3017, 362, 1522, 799, 2219, 9707, 0, 358, 1184, 1045, 1492, 448, 6888, 0, 358, 614, 6679, 311, 653, 419, 714, 358, 1079, 42903, 911, 847, 11253, 13, 3017, 358, 686, 10542, 847, 11253, 448, 264, 4055, 313, 3263, 7281, 11, 421, 358, 614, 13628, 825, 11, 4486, 3291, 752, 279, 1290, 4226, 0, 7281, 11, 11114, 369, 697, 1492, 304, 4593, 198, 22, 13, 16600, 82713, 1492, 625, 89, 7, 13809, 476, 1032, 6441, 692, 35, 24308, 421, 279, 1372, 374, 5326, 304, 12344, 44197, 13, 1416, 537, 11, 10339, 220, 18, 17, 353, 220, 16, 15, 61, 19, 13, 320, 16, 1459, 8, 2308, 26, 432, 374, 537, 5326, 438, 264, 2355, 315, 220, 16, 15, 13, 2308, 26, 279, 1156, 8168, 374, 537, 264, 1372, 1948, 220, 16, 323, 220, 16, 15, 13, 7414, 26, 279, 1372, 374, 5326, 304, 12344, 4593, 198, 23, 13, 16600, 4149, 271, 13048, 5019, 0, 358, 1079, 9016, 19962, 448, 419, 4755, 323, 572, 15652, 4325, 1035, 728, 916, 1105, 448, 752, 13, 9731, 498, 0, 220, 16, 13, 15920, 315, 279, 2701, 23393, 374, 5326, 304, 12344, 44197, 5267, 24, 13, 16600, 76443, 271, 23085, 315, 279, 2701, 23393, 374, 5326, 304, 12344, 44197, 5267, 16, 15, 13, 16600, 76443, 271, 23085, 315, 279, 2701, 374, 220, 15, 13, 15, 15, 15, 15, 15, 15, 15, 22, 15, 23, 5326, 304, 12344, 44197, 1939, 7661, 21476, 23382 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2414, 18731, 530, 4371, 2203, 14785, 220, 17, 15, 16, 22, 386, 8556, 16033, 8752, 198, 8451, 75236, 29228, 30972, 16841, 7542, 11201, 594, 15419, 4389, 44515, 4457, 198, 17263, 15672, 3218, 18731, 530, 35513, 40088, 77873, 1374, 4122, 41790, 11374, 41339, 1374, 4122, 33611, 9686, 32816, 279, 4337, 87615, 271, 2, 19, 20, 16, 198, 50277, 11, 220, 15, 22, 25, 15, 21, 5851, 198, 11387, 15118, 12039, 5627, 32, 16471, 2631, 25, 4350, 220, 17, 15, 15, 17, 9866, 25, 16782, 11, 9183, 9126, 25, 467, 370, 988, 9126, 425, 875, 13, 220, 16, 24, 21, 17, 11, 30688, 2350, 909, 13, 220, 16, 24, 21, 20, 15419, 25, 220, 17, 11, 20, 20, 23, 271, 19466, 510, 24805, 15275, 553, 3616, 6862, 928, 40338, 2980, 4325, 17258, 40, 20, 279, 11799, 304, 1493, 762, 21813, 504, 14785, 220, 17, 15, 16, 19, 320, 3808, 8, 25109, 362, 686, 387, 2661, 311, 220, 16, 15, 15, 15, 14878, 45238, 83575, 371, 362, 13, 7288, 3085, 18927, 220, 23, 15, 13384, 1817, 3832, 304, 83575, 371, 362, 686, 614, 2804, 284, 220, 15, 13, 17, 15, 659, 7288, 3085, 18927, 220, 17, 15, 13384, 1817, 3832, 304, 83575, 371, 362, 686, 614, 2804, 284, 220, 15, 13, 15, 20, 659, 7288, 91973, 389, 2804, 11, 279, 6305, 614, 9489, 3853, 10136, 6889, 13, 3070, 358, 3535, 429, 5019, 304, 279, 1874, 686, 3139, 53684, 2804, 374, 11882, 773, 582, 990, 320, 359, 10170, 45368, 32273, 14806, 13, 358, 1513, 944, 2167, 1414, 3170, 419, 374, 3498, 13, 320, 34594, 8, 25109, 425, 686, 387, 2661, 311, 220, 16, 15, 15, 15, 14878, 448, 9489, 3853, 10136, 6889, 11, 45238, 83575, 371, 425, 13, 576, 5506, 686, 7802, 2155, 14878, 21303, 323, 28135, 13, 7288, 3085, 18927, 220, 23, 15, 13384, 894, 2661, 3832, 304, 83575, 371, 425, 686, 614, 2804, 284, 220, 15, 13, 17, 15, 659, 7288, 3085, 18927, 220, 17, 15, 13384, 894, 2661, 3832, 304, 83575, 371, 425, 686, 614, 2804, 284, 220, 15, 13, 15, 20, 659, 3070, 1096, 825, 498, 835, 705, 9271, 468, 6253, 8, 323, 34687, 32273, 315, 1207, 1576, 894, 2661, 3832, 646, 3139, 2155, 1207, 82, 13, 358, 2167, 1101, 1513, 944, 3535, 419, 8544, 11, 773, 421, 5489, 646, 1438, 432, 1495, 358, 4172, 2167, 15401, 432, 13, 2521, 421, 4325, 646, 1459, 752, 311, 350, 5863, 6803, 476, 1008, 2860, 4963, 13, 1096, 374, 264, 3598, 25700, 304, 847, 8660, 315, 32273, 323, 358, 2776, 2167, 4460, 311, 3535, 624, 3808, 8, 2727, 1052, 374, 458, 220, 23, 15, 4, 18927, 429, 498, 614, 220, 16, 15, 15, 15, 19080, 448, 2804, 284, 220, 15, 13, 17, 508, 704, 264, 29344, 20855, 32470, 448, 296, 28, 16, 15, 15, 15, 323, 2804, 284, 220, 15, 13, 17, 60, 323, 264, 220, 17, 15, 4, 18927, 429, 498, 614, 220, 16, 15, 15, 15, 19080, 448, 2804, 284, 220, 15, 13, 15, 20, 508, 704, 264, 29344, 20855, 32470, 448, 296, 28, 16, 15, 15, 15, 323, 2804, 284, 220, 15, 13, 15, 20, 936, 14301, 279, 7982, 374, 458, 220, 23, 15, 14, 17, 15, 20980, 315, 1493, 1378, 29344, 20855, 32470, 594, 13, 2126, 279, 3076, 323, 2086, 4445, 553, 26792, 323, 1221, 633, 279, 32273, 13, 508, 5050, 3910, 702, 264, 1910, 3920, 5185, 389, 20980, 42685, 35184, 34594, 8, 2727, 429, 1817, 3842, 702, 458, 9489, 220, 23, 15, 4, 18927, 315, 1181, 2804, 1660, 220, 15, 13, 17, 323, 264, 220, 17, 15, 4, 18927, 315, 1181, 2804, 1660, 220, 15, 13, 15, 20, 13, 14301, 11, 553, 26792, 11, 1817, 3842, 702, 264, 18927, 220, 15, 13, 23, 320, 15, 13, 17, 8, 488, 320, 15, 13, 17, 8, 320, 15, 13, 15, 20, 8, 284, 15, 13, 16, 22, 315, 4545, 11, 323, 1052, 525, 220, 16, 15, 15, 15, 1741, 7775, 11, 773, 279, 1372, 315, 16375, 374, 29344, 20855, 448, 5029, 220, 16, 15, 15, 15, 323, 220, 15, 13, 16, 22, 13, 2055, 279, 3076, 323, 32273, 1101, 2525, 504, 419, 29344, 20855, 624, 7686, 12148, 36634, 15118, 198, 36634, 15118, 594, 3218, 18731, 530, 14248, 46337, 198, 2136, 46575, 18731, 530, 325, 1065, 1561, 905, 198, 73, 87493, 12046, 31, 531, 18731, 530, 325, 1065, 1561, 905, 198, 2, 19, 20, 17, 198, 50277, 11, 220, 15, 22, 25, 16, 20, 5851, 198, 3616, 6862, 928, 40338, 12039, 5627, 32, 16471, 2631, 25, 4350, 220, 17, 15, 16, 18, 9866, 25, 24987, 4957, 47990, 7919, 8, 7659, 7024, 369, 32310, 386, 8556, 9126, 25, 3822, 315, 45034, 75426, 39722, 12883, 25, 56991, 31993, 15419, 25, 220, 18, 17, 20, 271, 35881, 11, 429, 3520, 3643, 4727, 5530, 13, 358, 2776, 2087, 311, 1779, 700, 429, 3920, 5185, 13, 358, 2167, 15401, 432, 11, 358, 1101, 1414, 1052, 594, 2087, 311, 387, 264, 3405, 1075, 419, 389, 279, 7006, 198, 7686, 12148, 47, 11, 25609, 386, 11419, 1154, 356, 11, 386, 8556, 198, 28201, 220, 16, 12, 23, 43090, 198, 3627, 271, 3036, 60725, 39, 374, 279, 6524, 358, 990, 311, 12845, 18372, 8528, 198, 15191, 3887, 304, 2613, 65564, 11, 3881, 438, 451, 25220, 11, 369, 75879, 8528, 345, 9485, 18372, 8528, 614, 34565, 11, 279, 8538, 315, 892, 374, 198, 1782, 2097, 1052, 525, 1657, 803, 18372, 8528, 1091, 451, 25220, 624, 2, 19, 20, 18, 198, 50277, 11, 220, 15, 22, 25, 18, 22, 5851, 198, 13809, 78, 16, 22, 24, 19, 12039, 5627, 32, 16471, 2631, 25, 3217, 220, 17, 15, 16, 21, 9866, 25, 14352, 7659, 7024, 369, 386, 8556, 9126, 25, 17584, 3822, 320, 46761, 8, 39722, 12883, 25, 40933, 15419, 25, 220, 18, 17, 271, 19466, 510, 24805, 15275, 553, 3616, 6862, 928, 40338, 45717, 11, 429, 3520, 3643, 4727, 5530, 13, 358, 2776, 2087, 311, 1779, 700, 429, 3920, 5185, 13, 358, 2167, 15401, 432, 11, 358, 1101, 1414, 1052, 594, 2087, 311, 387, 264, 3405, 1075, 419, 389, 279, 7006, 198, 6986, 419, 3405, 1537, 3729, 1112, 14974, 2591, 279, 14780, 700, 315, 752, 714, 3055, 358, 2167, 3381, 911, 432, 11, 432, 1865, 5530, 382, 40, 1744, 911, 432, 1075, 419, 510, 785, 15048, 304, 293, 30734, 8, 702, 4236, 2790, 5203, 315, 220, 16, 15, 15, 15, 1817, 13, 758, 3040, 315, 1846, 4236, 5203, 11, 5019, 702, 2804, 45934, 17, 15, 13, 758, 279, 1008, 825, 11, 5019, 702, 2804, 45934, 15, 20, 624, 785, 15048, 304, 293, 1956, 3808, 8, 374, 825, 1874, 315, 220, 16, 15, 15, 15, 13, 220, 23, 15, 4, 315, 279, 220, 16, 15, 15, 15, 614, 2804, 45934, 17, 15, 323, 279, 1008, 220, 17, 15, 4, 702, 2804, 45934, 15, 20, 382, 38015, 419, 8609, 382, 44364, 16384, 5185, 481, 8713, 582, 5420, 311, 990, 22601, 389, 279, 5326, 4226, 30, 35430, 537, 389, 279, 20869, 11, 714, 279, 28566, 1939, 5842, 19138, 553, 13809, 78, 16, 22, 24, 19, 26, 60033, 518, 220, 15, 22, 25, 19, 15, 5851, 33947, 2, 19, 20, 19, 198, 50277, 11, 220, 15, 22, 25, 19, 17, 5851, 198, 11387, 15118, 12039, 5627, 32, 16471, 2631, 25, 4350, 220, 17, 15, 15, 17, 9866, 25, 16782, 11, 9183, 9126, 25, 467, 370, 988, 9126, 425, 875, 13, 220, 16, 24, 21, 17, 11, 30688, 2350, 909, 13, 220, 16, 24, 21, 20, 15419, 25, 220, 17, 11, 20, 20, 23, 271, 20629, 315, 13809, 78, 16, 22, 24, 19, 594, 57589, 525, 15114, 624, 7686, 12148, 36634, 15118, 198, 36634, 15118, 594, 3218, 18731, 530, 14248, 46337, 198, 2136, 46575, 18731, 530, 325, 1065, 1561, 905, 198, 73, 87493, 12046, 31, 531, 18731, 530, 325, 1065, 1561, 905, 198, 2, 19, 20, 20, 198, 50277, 11, 220, 15, 23, 25, 17, 16, 5851, 198, 13809, 78, 16, 22, 24, 19, 12039, 5627, 32, 16471, 2631, 25, 3217, 220, 17, 15, 16, 21, 9866, 25, 14352, 7659, 7024, 369, 386, 8556, 9126, 25, 17584, 3822, 320, 46761, 8, 39722, 12883, 25, 40933, 15419, 25, 220, 18, 17, 271, 40, 5710, 944, 22023, 311, 279, 23141, 25283, 10449, 304, 279, 3491, 11, 358, 572, 22023, 311, 1246, 311, 32037, 1948, 279, 330, 9547, 3832, 686, 614, 1, 323, 330, 3767, 2661, 3832, 3263, 2938, 1319, 96478, 21815, 752, 11, 323, 7274, 911, 432, 1075, 429, 8609, 752, 382, 21468, 279, 3685, 16148, 1281, 5530, 30, 1416, 537, 11, 4486, 4396, 432, 382, 54031, 293, 30734, 8, 374, 220, 23, 15, 4, 6012, 429, 220, 16, 15, 15, 4, 315, 279, 40844, 686, 614, 2804, 45934, 17, 15, 323, 264, 220, 17, 15, 4, 6012, 429, 220, 16, 15, 15, 4, 315, 279, 40844, 686, 614, 2804, 45934, 15, 20, 624, 54031, 293, 1956, 3808, 8, 374, 4936, 458, 220, 23, 15, 4, 6012, 315, 264, 4462, 315, 279, 40844, 3432, 2804, 45934, 17, 15, 323, 264, 220, 17, 15, 4, 6012, 315, 4325, 304, 279, 1852, 40844, 3432, 2804, 45934, 15, 20, 624, 7686, 12148, 47, 23447, 386, 11419, 356, 386, 8556, 198, 4491, 36, 434, 2537, 86241, 271, 2, 19, 20, 21, 198, 50277, 11, 220, 15, 23, 25, 19, 20, 5851, 198, 11387, 15118, 12039, 5627, 32, 16471, 2631, 25, 4350, 220, 17, 15, 15, 17, 9866, 25, 16782, 11, 9183, 9126, 25, 467, 370, 988, 9126, 425, 875, 13, 220, 16, 24, 21, 17, 11, 30688, 2350, 909, 13, 220, 16, 24, 21, 20, 15419, 25, 220, 17, 11, 20, 20, 23, 271, 19466, 510, 24805, 15275, 553, 13809, 78, 16, 22, 24, 19, 358, 5710, 944, 22023, 311, 279, 23141, 25283, 10449, 304, 279, 3491, 11, 358, 572, 22023, 311, 1246, 311, 32037, 1948, 279, 330, 9547, 3832, 686, 614, 1, 323, 330, 3767, 2661, 3832, 3263, 2938, 1319, 96478, 21815, 752, 11, 323, 7274, 911, 432, 1075, 429, 8609, 752, 13, 12553, 279, 3685, 16148, 1281, 5530, 30, 1416, 537, 11, 4486, 4396, 432, 13, 58663, 293, 30734, 8, 374, 220, 23, 15, 4, 6012, 429, 220, 16, 15, 15, 4, 315, 279, 40844, 686, 614, 2804, 45934, 17, 15, 323, 264, 220, 17, 15, 4, 6012, 429, 220, 16, 15, 15, 4, 315, 279, 40844, 686, 614, 2804, 45934, 15, 20, 13, 58663, 293, 1956, 3808, 8, 374, 4936, 458, 220, 23, 15, 4, 6012, 315, 264, 4462, 315, 279, 40844, 3432, 2804, 45934, 17, 15, 323, 264, 220, 17, 15, 4, 6012, 315, 4325, 304, 279, 1852, 40844, 3432, 2804, 45934, 15, 20, 624, 5050, 3491, 448, 1246, 498, 7481, 432, 374, 279, 2701, 25, 4396, 9904, 3118, 389, 279, 12239, 498, 6551, 7540, 15114, 11253, 369, 2176, 5048, 13, 4354, 11, 498, 1231, 614, 32298, 697, 12239, 304, 458, 15114, 1616, 429, 8947, 4396, 11253, 304, 708, 410, 5048, 13, 1084, 594, 1661, 311, 387, 17605, 382, 7771, 16148, 315, 293, 30734, 8, 374, 4396, 382, 7771, 16148, 315, 293, 1956, 3808, 8, 1231, 387, 4396, 11, 714, 279, 60227, 22368, 752, 438, 264, 2632, 30615, 13, 1084, 1035, 387, 48379, 311, 1977, 25, 1752, 1817, 4462, 315, 279, 40844, 11, 1052, 374, 458, 220, 23, 15, 4, 6012, 429, 429, 4462, 594, 2804, 374, 220, 15, 13, 17, 323, 264, 220, 17, 15, 4, 6012, 429, 429, 4462, 594, 2804, 374, 220, 15, 13, 15, 20, 11, 323, 279, 3059, 525, 9489, 504, 4462, 311, 4462, 382, 1359, 279, 1616, 11, 358, 7503, 429, 279, 7006, 3491, 438, 10982, 374, 30455, 3409, 291, 11, 448, 279, 330, 3767, 2661, 3832, 1, 323, 330, 9547, 3832, 1, 5000, 311, 32037, 4421, 437, 12793, 1128, 432, 594, 1075, 369, 2477, 15598, 6364, 21326, 0, 4940, 3308, 11, 7006, 4755, 525, 3545, 30455, 3409, 291, 11, 323, 432, 594, 537, 678, 429, 8848, 369, 1105, 311, 990, 55085, 3793, 311, 3076, 2494, 2155, 504, 862, 7290, 304, 279, 55085, 11, 476, 311, 387, 7402, 821, 11, 476, 369, 279, 4969, 4226, 311, 387, 6509, 4396, 13, 17927, 2524, 9428, 39099, 13, 64438, 1184, 311, 387, 21765, 3491, 2048, 3004, 304, 429, 279, 1156, 949, 315, 279, 3491, 374, 311, 7071, 700, 1128, 279, 3491, 2167, 374, 624, 7686, 12148, 36634, 15118, 198, 36634, 15118, 594, 3218, 18731, 530, 14248, 46337, 198, 2136, 46575, 18731, 530, 325, 1065, 1561, 905, 198, 73, 87493, 12046, 31, 531, 18731, 530, 325, 1065, 1561, 905, 198, 2, 19, 20, 22, 198, 50277, 11, 220, 15, 24, 25, 19, 19, 5851, 198, 3017, 9914, 24732, 5627, 32, 16471, 2631, 25, 4915, 220, 17, 15, 16, 21, 15419, 25, 220, 22, 271, 785, 33891, 21806, 11221, 518, 279, 7167, 315, 279, 7006, 1584, 330, 3155, 537, 3270, 11253, 311, 803, 1091, 825, 3405, 817, 10834, 11436, 21468, 419, 3076, 1449, 949, 320, 64, 11, 293, 11, 323, 272, 8, 311, 3405, 220, 16, 11, 1969, 387, 389, 458, 3842, 10834, 30, 2521, 11, 374, 432, 16910, 311, 4226, 5479, 264, 11, 293, 11, 323, 272, 678, 389, 279, 1852, 10834, 5267, 2, 19, 20, 23, 198, 50277, 11, 220, 16, 15, 25, 18, 23, 5851, 198, 3616, 6862, 928, 40338, 12039, 5627, 32, 16471, 2631, 25, 4350, 220, 17, 15, 16, 18, 9866, 25, 24987, 4957, 47990, 7919, 8, 7659, 7024, 369, 32310, 386, 8556, 9126, 25, 3822, 315, 45034, 75426, 39722, 12883, 25, 56991, 31993, 15419, 25, 220, 18, 17, 20, 271, 19466, 510, 24805, 15275, 553, 11387, 15118, 3216, 279, 1616, 11, 358, 7503, 429, 279, 7006, 3491, 438, 10982, 374, 30455, 3409, 291, 11, 448, 279, 330, 3767, 2661, 3832, 1, 323, 330, 9547, 3832, 1, 5000, 311, 32037, 4421, 437, 12793, 1128, 432, 594, 1075, 369, 2477, 15598, 6364, 21326, 0, 4940, 3308, 11, 7006, 4755, 525, 3545, 30455, 3409, 291, 11, 323, 432, 594, 537, 678, 429, 8848, 369, 1105, 311, 990, 55085, 3793, 311, 3076, 2494, 2155, 504, 862, 7290, 304, 279, 55085, 11, 476, 311, 387, 7402, 821, 11, 476, 369, 279, 4969, 4226, 311, 387, 6509, 4396, 13, 17927, 2524, 9428, 39099, 13, 64438, 1184, 311, 387, 21765, 3491, 2048, 3004, 304, 429, 279, 1156, 949, 315, 279, 3491, 374, 311, 7071, 700, 1128, 279, 3491, 2167, 374, 624, 40, 2776, 279, 1156, 311, 16698, 429, 2272, 4436, 944, 6624, 714, 429, 2167, 4977, 1075, 17065, 504, 279, 773, 64, 50782, 13, 1205, 2182, 304, 11499, 315, 4115, 5802, 315, 975, 369, 1817, 315, 1493, 39686, 11, 807, 1265, 387, 5644, 311, 264, 5080, 5297, 13, 4329, 5322, 525, 82374, 6351, 323, 432, 1101, 3171, 944, 2666, 1290, 13, 576, 4623, 358, 5098, 11, 279, 803, 432, 678, 4977, 1075, 264, 8350, 11633, 13, 358, 3900, 979, 358, 2776, 458, 434, 7778, 358, 633, 311, 3270, 5322, 429, 3520, 7032, 9760, 6540, 13, 28970, 1221, 624, 7686, 12148, 47, 11, 25609, 386, 11419, 1154, 356, 11, 386, 8556, 198, 28201, 220, 16, 12, 23, 43090, 198, 3627, 271, 3036, 60725, 39, 374, 279, 6524, 358, 990, 311, 12845, 18372, 8528, 198, 15191, 3887, 304, 2613, 65564, 11, 3881, 438, 451, 25220, 11, 369, 75879, 8528, 345, 9485, 18372, 8528, 614, 34565, 11, 279, 8538, 315, 892, 374, 198, 1782, 2097, 1052, 525, 1657, 803, 18372, 8528, 1091, 451, 25220, 624, 2, 19, 20, 24, 198, 15364, 11, 220, 16, 17, 25, 16, 15, 6769, 198, 2308, 97277, 86622, 12039, 5627, 32, 16471, 2631, 25, 10057, 220, 17, 15, 15, 24, 9866, 25, 7840, 9154, 11, 41923, 7659, 7024, 369, 386, 8556, 9126, 25, 15893, 3234, 3822, 75426, 15419, 25, 220, 16, 21, 19, 271, 19466, 510, 24805, 15275, 553, 37145, 301, 12450, 11525, 43145, 264, 11372, 4846, 466, 3405, 13, 44980, 31759, 323, 28428, 431, 30304, 13, 48832, 944, 13837, 911, 18405, 315, 24165, 303, 388, 13, 3155, 582, 2677, 9658, 468, 78, 56, 24165, 303, 388, 5267, 13319, 315, 279, 882, 9834, 11, 1576, 421, 498, 614, 2669, 7171, 369, 697, 8113, 304, 7811, 56, 498, 1035, 537, 31759, 1573, 279, 835, 315, 279, 1042, 369, 2494, 498, 614, 2669, 7171, 369, 624, 38015, 429, 419, 1492, 624, 7686, 12148, 47, 3748, 318, 92411, 23447, 356, 386, 11419, 386, 8556, 198, 4491, 36, 25, 24344, 8440, 468, 5790, 1898, 19100, 24981, 71637, 271, 8752, 13852, 10623, 81689, 28263, 14562, 271, 78673, 22847, 1446, 1231, 537, 1736, 501, 14564, 1446, 1231, 537, 1736, 30637, 1446, 1231, 537, 1736, 33679, 1446, 1231, 537, 4499, 697, 7999, 18270, 2038, 374, 1913, 4388, 7597, 525, 1913, 508, 30346, 60, 2038, 374, 1913, 9308, 2038, 374, 4114, 271, 2403, 3039, 525, 24488, 481, 19, 13, 576, 882, 1431, 374, 220, 15, 23, 25, 15, 21, 6769, 382, 1177, 7899, 11913, 481, 59596, 24627, 11304, 7899, 11913, 481, 20149, 24627, 11304, 10621, 7899, 11913, 11304, 18609, 389, 279, 6414, 11304, 50725, 53696, 11304, 41771, 23333, 11304, 8162, 66753, 11913, 11304, 1416, 1845, 642, 1033, 6303, 11304, 1416, 1845, 642, 1033, 6176, 11304, 1416, 1845, 642, 1033, 24932, 11304, 26613, 220, 17, 15, 15, 22, 11304, 425, 91336, 11304, 26613, 11304, 65269, 10074, 16442, 11304, 17009, 6059, 16442, 11304, 65269, 220, 17, 15, 15, 22, 13440, 11304, 220, 19, 339, 4940, 5768, 9180, 3985, 481, 3218, 18731, 530, 4371, 2203, 481, 29702, 481, 18874, 21756, 481, 6909 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2585, 2014, 34104, 1752, 362, 910, 78121, 271, 14374, 26530, 220, 17, 311, 220, 18, 14924, 315, 521, 78121, 3084, 817, 4478, 315, 7002, 2608, 382, 4340, 311, 6629, 369, 264, 521, 78121, 13, 362, 4586, 5912, 315, 24050, 374, 311, 5157, 264, 521, 78121, 429, 374, 220, 16, 15, 220, 16, 17, 14924, 90429, 1091, 697, 1965, 13, 2055, 421, 498, 614, 264, 220, 16, 15, 10482, 22170, 30270, 429, 553, 220, 18, 323, 498, 633, 220, 18, 15, 476, 220, 18, 15, 23033, 13, 2055, 421, 697, 3054, 10953, 220, 16, 15, 856, 220, 16, 19, 279, 23033, 315, 279, 12507, 1265, 387, 911, 220, 17, 19, 13, 1752, 3110, 421, 697, 3054, 374, 220, 16, 15, 856, 220, 16, 21, 279, 2629, 315, 1846, 16819, 220, 17, 21, 382, 3966, 5297, 1714, 369, 25597, 279, 1290, 1379, 369, 264, 521, 78121, 374, 311, 912, 279, 3084, 323, 2374, 15336, 315, 279, 3054, 3786, 16878, 304, 7541, 13, 34104, 697, 3054, 274, 3084, 323, 2374, 304, 7541, 323, 912, 1846, 1378, 5109, 3786, 13, 2585, 311, 6629, 264, 3054, 369, 264, 521, 78121, 13, 5005, 990, 429, 1372, 438, 279, 2374, 304, 14924, 369, 697, 521, 78121, 382, 1249, 1477, 419, 1372, 498, 1184, 311, 1896, 264, 5625, 315, 21595, 13, 2055, 369, 1817, 4478, 432, 46918, 311, 1378, 323, 264, 4279, 311, 2326, 14924, 369, 697, 521, 78121, 2608, 13, 2014, 8253, 2608, 315, 521, 78121, 13, 576, 95070, 323, 59918, 273, 315, 264, 1632, 9099, 521, 78121, 18653, 323, 56824, 279, 19671, 315, 894, 3054, 382, 32236, 279, 2374, 323, 3084, 315, 279, 3054, 13, 576, 521, 78121, 1265, 387, 220, 17, 21, 6884, 13, 2585, 311, 6629, 264, 6169, 29287, 521, 78121, 1265, 387, 5435, 311, 279, 1379, 315, 279, 3054, 323, 279, 1379, 315, 279, 1965, 916, 892, 432, 374, 311, 14678, 13, 34104, 504, 279, 13713, 1459, 304, 279, 22170, 678, 279, 1616, 311, 279, 6422, 382, 95155, 279, 2608, 553, 13187, 220, 18, 220, 16, 4478, 7002, 2608, 311, 220, 18, 521, 78121, 2608, 817, 4478, 18662, 13, 362, 521, 78121, 429, 374, 2238, 3460, 646, 6707, 97787, 264, 3054, 323, 13, 57633, 279, 2608, 315, 264, 521, 78121, 686, 1492, 498, 5157, 264, 521, 78121, 429, 274, 54172, 311, 279, 2608, 315, 697, 3550, 13, 1096, 374, 279, 23033, 315, 279, 521, 78121, 429, 686, 1850, 7781, 279, 3054, 382, 40, 2684, 8063, 7541, 13, 1752, 3110, 264, 98916, 220, 16, 17, 7541, 856, 220, 16, 17, 7541, 304, 1379, 6738, 369, 264, 220, 17, 19, 17122, 23033, 521, 78121, 12507, 13, 362, 4285, 1616, 311, 8253, 264, 521, 78121, 1379, 374, 311, 912, 279, 15336, 315, 279, 3054, 3786, 304, 7541, 323, 1221, 5508, 279, 4226, 311, 14924, 13, 34104, 279, 22170, 2608, 504, 279, 1459, 315, 13713, 1459, 1380, 498, 3119, 311, 14678, 279, 12507, 311, 279, 6422, 382, 8420, 525, 264, 2421, 803, 3974, 17501, 311, 1492, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 15920, 7493, 374, 13578, 311, 220, 18, 7, 19, 76, 1365, 220, 17, 8, 1365, 220, 17, 1255, 488, 220, 20, 8, 362, 13, 220, 16, 15, 76, 1365, 220, 16, 21, 425, 13, 220, 16, 19, 76, 488, 220, 19, 356, 13, 481, 16, 21, 76, 488, 220, 16, 15, 422, 271, 14582, 271, 23085, 7493, 374, 13578, 311, 220, 18, 7, 19, 76, 1365, 220, 17, 8, 1365, 220, 17, 1255, 488, 220, 20, 692, 32, 13, 220, 16, 15, 76, 1365, 220, 16, 21, 271, 33, 13, 220, 16, 19, 76, 488, 220, 19, 271, 34, 13, 481, 16, 21, 76, 488, 220, 16, 15, 271, 35, 13, 220, 16, 17, 76, 1365, 220, 21, 271, 258, 5098, 220, 15, 198, 16, 1042, 220, 17, 15, 17, 16, 12, 15, 22, 12, 17, 22, 51, 16, 21, 25, 15, 19, 25, 15, 18, 10, 15, 15, 25, 15, 15, 220, 17, 37243, 220, 24, 6194, 220, 15, 271, 32, 13, 220, 16, 15, 76, 1365, 220, 16, 21, 271, 8304, 14319, 29208, 16148, 1447, 5338, 11, 16417, 220, 18, 311, 678, 3793, 2878, 279, 12159, 95356, 11, 323, 481, 17, 37922, 1447, 18, 7, 19, 76, 1365, 220, 17, 8, 79483, 18, 353, 220, 19, 76, 284, 220, 16, 17, 76, 271, 18, 353, 481, 17, 284, 481, 21, 271, 18, 7, 19, 76, 1365, 220, 17, 8, 284, 220, 16, 17, 76, 1365, 220, 21, 271, 12, 17, 1255, 488, 220, 20, 8, 79483, 12, 17, 353, 296, 284, 481, 17, 76, 271, 12, 17, 353, 220, 20, 284, 481, 16, 15, 271, 12, 17, 1255, 488, 220, 20, 8, 284, 481, 17, 76, 481, 16, 15, 271, 81114, 1075, 3793, 1447, 16, 17, 76, 1365, 220, 21, 220, 4102, 12, 17, 76, 1365, 220, 16, 15, 271, 16, 17, 76, 1365, 220, 17, 76, 1365, 220, 21, 1365, 220, 16, 15, 271, 7, 16, 17, 76, 1365, 220, 17, 76, 8, 488, 10293, 21, 1365, 220, 16, 15, 692, 16, 15, 76, 1365, 220, 16, 21, 271, 58629, 16, 15, 296, 1365, 220, 16, 21, 320, 16141, 362, 692, 8304, 14319, 29208, 16148, 1447, 1654, 990, 2846, 6704, 3343, 311, 21725, 95356, 1447, 16, 17, 296, 1365, 220, 21, 1365, 220, 17, 296, 481, 16, 15, 271, 437, 1431, 15963, 1075, 3793, 1447, 58, 16, 17, 296, 1365, 220, 17, 296, 60, 1365, 220, 21, 1365, 220, 16, 15, 271, 16, 15, 296, 1365, 220, 16, 21, 271, 54815, 11, 4226, 2999, 362, 13, 220, 4102, 285, 279, 4396, 825 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7379, 3084, 315, 10238, 304, 21495, 271, 641, 21495, 57960, 16154, 55114, 454, 19360, 54876, 279, 3881, 11067, 525, 25, 400, 1867, 28, 20, 54876, 400, 4897, 28, 21, 3, 323, 400, 1706, 28, 22, 12947, 362, 12671, 16211, 1526, 3501, 400, 32, 3, 323, 400, 34, 54876, 49435, 7678, 5128, 400, 7064, 3, 323, 400, 4897, 3, 518, 3501, 400, 42, 3, 323, 400, 43, 54876, 892, 374, 2477, 12, 12085, 9210, 11, 15576, 13, 37103, 67710, 1634, 311, 279, 3625, 7074, 315, 279, 21495, 19360, 382, 5501, 1477, 279, 3084, 315, 279, 10238, 400, 52983, 54876, 323, 1473, 752, 1246, 311, 382, 6913, 32, 6802, 1035, 1492, 13, 1365, 4102, 38, 343, 3921, 11782, 220, 22, 364, 16, 17, 518, 220, 21, 25, 20, 24, 198, 31076, 6154, 1035, 1492, 1496, 803, 13, 2160, 400, 50, 3, 279, 1852, 438, 400, 34, 3, 30, 11261, 288, 1128, 7678, 1555, 30, 3555, 1558, 432, 3076, 311, 1977, 429, 400, 43, 3, 374, 264, 330, 6280, 12, 12085, 9210, 43869, 3555, 1558, 330, 44634, 3132, 1, 3076, 374, 419, 2266, 30, 32286, 11, 419, 3405, 3643, 902, 5530, 518, 678, 13, 5209, 1744, 911, 1128, 498, 2167, 296, 896, 276, 311, 2548, 11, 323, 4499, 279, 3405, 27079, 13, 1365, 4102, 38, 5400, 3017, 1270, 11782, 220, 22, 364, 16, 17, 518, 220, 22, 25, 16, 20, 198, 42082, 2664, 13, 34303, 1052, 13, 3555, 1558, 330, 21086, 67710, 1634, 311, 279, 3625, 7074, 21215, 3076, 30, 1365, 4102, 38, 5400, 3017, 1270, 11782, 220, 22, 364, 16, 17, 518, 220, 16, 16, 25, 15, 16, 271, 16, 13, 1752, 894, 57960, 55114, 19360, 3, 304, 892, 271, 32, 12671, 16211, 1526, 3501, 400, 32, 3, 323, 400, 34, 54876, 49435, 7678, 5128, 400, 7064, 3, 323, 400, 4897, 3, 518, 3501, 400, 42, 3, 323, 400, 43, 54876, 892, 374, 2477, 12, 12085, 9210, 11, 15576, 271, 896, 614, 429, 57960, 55114, 19360, 1124, 14781, 1124, 55114, 425, 52983, 12947, 22348, 11, 400, 11907, 8556, 3, 374, 1640, 17433, 29136, 42939, 57960, 26243, 1124, 4044, 30572, 43, 41715, 4044, 43461, 34433, 2493, 54876, 714, 1083, 582, 614, 57960, 4044, 30572, 43, 41715, 4044, 425, 52983, 34433, 2493, 1124, 26243, 1124, 4044, 43461, 34433, 4044, 425, 52983, 3, 26, 57960, 4044, 730, 9389, 284, 1124, 4044, 19360, 3, 382, 2121, 57960, 55114, 19360, 1124, 14781, 1124, 55114, 425, 52983, 1124, 26243, 760, 88307, 87803, 21, 87, 11, 1124, 760, 9389, 87803, 20, 87, 11, 760, 52983, 87803, 22, 87, 12947, 2055, 582, 1265, 1477, 400, 87, 3, 504, 5107, 2971, 315, 419, 3491, 382, 17, 13, 358, 7942, 11, 429, 553, 271, 21086, 67710, 1634, 311, 279, 3625, 7074, 315, 279, 21495, 19360, 271, 9951, 3363, 2701, 25, 1752, 1640, 3114, 12671, 315, 57960, 55114, 19360, 3, 481, 400, 52983, 3, 374, 68660, 1555, 382, 641, 419, 1142, 582, 646, 3270, 11, 429, 400, 91, 52983, 91, 10, 91, 1706, 87803, 91, 11907, 91, 10, 91, 8556, 91, 1124, 1124, 10374, 13233, 90, 47822, 3764, 3417, 1124, 26243, 66426, 58736, 26243, 220, 22, 87, 10, 22, 4539, 20, 12, 21, 87, 8, 488, 320, 21, 481, 220, 20, 87, 11730, 16, 16, 12, 16, 16, 87, 1124, 26243, 66426, 58736, 26243, 220, 16, 23, 87, 28, 19, 1124, 26243, 856, 34433, 37018, 90, 17, 15170, 24, 31716, 382, 3, 91, 52983, 87803, 22, 87, 34433, 37018, 90, 16, 19, 15170, 24, 31716, 271, 18, 13, 57960, 10374, 13233, 90, 47822, 3764, 3417, 3, 1634, 400, 11907, 8556, 3, 374, 68660, 29136, 42939, 40036, 3170, 760, 52983, 91, 10, 91, 1706, 87803, 91, 11907, 91, 10, 91, 8556, 84626, 320, 9830, 6802, 3593, 12 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 55716, 323, 817, 54236, 25, 6888, 22932, 304, 220, 20, 339, 11972, 35965, 304, 11358, 382, 22029, 5671, 448, 35965, 22932, 304, 17702, 11972, 525, 2677, 7565, 311, 279, 5458, 748, 8660, 13, 14301, 11, 279, 15271, 686, 614, 311, 387, 2952, 311, 5508, 32676, 714, 1083, 311, 11047, 279, 3082, 198, 80224, 12396, 1741, 438, 279, 9334, 11, 279, 22756, 11, 279, 21669, 2855, 355, 11, 279, 57030, 839, 2396, 11, 279, 489, 2027, 89, 588, 476, 279, 3082, 315, 264, 13364, 315, 10578, 431, 624, 2610, 686, 614, 1657, 22932, 323, 5322, 311, 11625, 389, 279, 5671, 315, 52484, 12396, 311, 2225, 6437, 7361, 304, 82668, 323, 17047, 624, 9485, 975, 7236, 525, 4428, 311, 1846, 304, 697, 55085, 13, 758, 5256, 11, 279, 26262, 6147, 4143, 311, 10542, 5975, 1865, 304, 37614, 279, 3082, 315, 264, 7071, 304, 1973, 311, 5155, 304, 32151, 304, 37596, 323, 5098, 6814, 279, 2906, 1042, 304, 17702, 11972, 382, 565, 11131, 315, 22932, 389, 5671, 323, 817, 54236, 271, 14374, 32818, 671, 16, 1447, 16, 13, 279, 10582, 32619, 25, 1913, 279, 5827, 3685, 11, 4743, 12396, 614, 1012, 14764, 382, 95521, 429, 279, 4982, 315, 3082, 374, 279, 9334, 11, 11047, 279, 3082, 315, 1817, 315, 279, 220, 21, 12396, 323, 1477, 279, 10582, 32619, 382, 17, 13, 20517, 279, 3082, 315, 279, 2701, 12396, 1447, 14374, 32818, 220, 17, 5671, 323, 817, 54236, 14512, 16429, 279, 9334, 438, 264, 4982, 315, 3082, 11, 2968, 279, 3082, 315, 22756, 19360, 35, 323, 1221, 279, 3082, 315, 1817, 315, 279, 57030, 839, 94701, 382, 14374, 32818, 671, 18, 1447, 785, 7071, 3685, 374, 264, 57030, 839, 2396, 382, 16, 11616, 20517, 1181, 3082, 382, 17, 11616, 20517, 1181, 46342, 382, 14374, 32818, 671, 19, 1447, 37175, 279, 57030, 839, 2396, 3685, 382, 7, 264, 323, 294, 78064, 279, 35294, 873, 6762, 25199, 279, 3871, 429, 3158, 279, 4798, 315, 419, 57030, 839, 2396, 1939, 264, 57960, 15136, 3, 294, 272, 57960, 15136, 3, 294, 293, 57960, 15136, 3, 294, 264, 57960, 15136, 3, 293, 264, 57960, 15136, 3, 272, 293, 57960, 15136, 3, 272, 271, 14374, 32818, 220, 20, 5671, 323, 817, 54236, 14512, 1867, 6484, 374, 264, 9334, 315, 3108, 220, 20, 9961, 382, 785, 1378, 4279, 51665, 82, 614, 12757, 2424, 508, 1867, 60, 323, 508, 1808, 29562, 47866, 279, 3082, 11, 304, 9961, 29456, 11, 315, 279, 6303, 7329, 311, 279, 23480, 7739, 339, 382, 14374, 32818, 671, 21, 1447, 47866, 279, 3082, 315, 279, 18575, 7329, 382, 14374, 32818, 220, 22, 5671, 323, 817, 54236, 14512, 32, 2560, 702, 264, 23033, 315, 220, 16, 15, 9961, 624, 16429, 279, 1376, 315, 279, 29952, 11, 2968, 458, 44868, 897, 315, 1181, 198, 4798, 11, 304, 9961, 29456, 6260, 64, 13, 311, 279, 23480, 4982, 280, 65, 13, 311, 279, 23480, 7739, 339, 382, 14374, 32818, 671, 23, 1447, 47866, 279, 46342, 315, 279, 29372, 19360, 1150, 3685, 382, 14374, 32818, 671, 24, 1447, 2132, 3867, 220, 22, 18, 13, 17, 15, 296, 315, 33420, 311, 4582, 279, 2326, 63946, 315, 419, 45229, 10058, 382, 4340, 1293, 374, 279, 3108, 315, 419, 9334, 10058, 1939, 14374, 32818, 671, 16, 15, 1447, 47866, 279, 5671, 315, 1493, 42446, 11, 1221, 30893, 1493, 5671, 304, 35388, 1973, 382, 14374, 32818, 671, 16, 16, 1447, 785, 18575, 323, 6176, 26431, 525, 85328, 553, 5234, 292, 74263, 448, 18652, 422, 11, 425, 323, 198, 36, 13, 7281, 11, 9630, 284, 220, 16, 13, 20, 9961, 624, 47866, 279, 3082, 11, 304, 9961, 29456, 11, 315, 279, 6176, 7329, 311, 279, 23480, 7739, 339, 382, 14374, 32818, 671, 16, 17, 1447, 641, 1424, 3959, 11, 279, 5795, 3082, 17167, 315, 1378, 8338, 56695, 323, 264, 22756, 382, 47866, 279, 3082, 11, 304, 296, 29456, 11, 315, 419, 5795, 3082, 311, 279, 23480, 7739, 339, 382, 86178, 16599, 1788, 43667, 54752, 662, 549, 138861, 320, 43197, 8, 129071, 320, 6953, 68291, 692, 51, 28882, 41456, 43729, 22540, 3134, 20061, 282, 12063, 662, 11358, 271, 51, 28882, 41456, 5908, 22540, 3134, 20061, 282, 12063, 12486, 32537, 323, 817, 54236, 25, 6888, 22932, 304, 220, 20, 339, 11972, 35965, 304, 11358, 13, 12992, 7906, 3561, 11358, 53301, 409, 67126, 57573, 15252, 662, 2401, 1574, 94003, 645, 382, 565, 422, 80879, 28975, 288, 6866, 1187, 3772, 220, 20, 339, 11972, 6888, 22932, 271, 51, 28882, 41456, 11891, 8357, 86746, 4149, 963, 8470, 8303, 4895, 9753, 25642, 3541, 44269, 11, 327, 2962, 1216, 1829, 14408, 5397, 382, 565, 422, 80879, 9709, 23400, 1137, 3784, 5671, 323, 817, 54236, 25, 6888, 22932, 304, 220, 20, 339, 11972, 35965, 304, 11358, 382, 6667, 220, 24, 22, 198, 78056, 5136, 448, 35965, 220, 20, 339, 11972, 6888, 22932, 686, 387, 315, 2244, 1492, 13, 576, 5458, 1969, 1414, 279, 7271, 323, 387, 2952, 311, 4771, 279, 19419, 315, 264, 7071, 476, 12194, 323, 1083, 1414, 1246, 311, 4009, 432, 389, 264, 32009, 1555, 13, 576, 5795, 374, 1083, 311, 2225, 54480, 7361, 89478, 6667, 220, 24, 22, 198, 1986, 462, 302, 3018, 16319, 374, 10602, 369, 13336, 476, 4143, 879, 1366, 311, 3395, 279, 12453, 389, 9334, 19703, 304, 220, 16, 15, 339, 11972, 13, 758, 1973, 311, 653, 1632, 11, 498, 686, 614, 311, 1191, 553, 5290, 279, 5114, 304, 1181, 47917, 13, 1096, 686, 2138, 498, 311, 614, 264, 1661, 23251, 315, 279, 3832, 89478, 6667, 220, 24, 22, 198, 785, 35965, 6888, 22932, 389, 17047, 304, 3550, 304, 220, 20, 339, 11972, 686, 1492, 498, 3535, 279, 12453, 13, 576, 5458, 1265, 387, 2952, 311, 2736, 8123, 48722, 714, 1083, 1414, 553, 4746, 279, 14806, 369, 279, 8123, 315, 264, 23739, 11, 264, 22756, 11, 264, 1290, 2504, 323, 264, 34564, 13, 758, 5256, 11, 1657, 89478, 23711, 35752, 58207, 28975, 288, 296, 4909, 3784, 9682, 271, 27515, 3375, 1187, 32924, 939, 35752, 4813, 44269, 1842, 7432, 1216, 88996, 5397, 7906, 2747, 5908, 5786, 3784, 9682, 1842, 1643, 10524, 554, 3784, 5671, 323, 817, 54236, 25, 6888, 22932, 304, 220, 20, 339, 11972, 35965, 304, 11358, 13, 6762, 8815, 963, 8470, 8303, 4895, 272, 17321, 220, 17, 220, 16, 19, 20, 220, 24, 21, 23, 28975, 288, 409, 44269, 1842, 294, 57636, 2962, 1216, 141504, 13700, 382, 13547, 7240, 220, 17, 15, 15, 23, 481, 220, 17, 15, 17, 18, 4149, 963, 8470, 8303, 4895, 350, 782, 96122, 30707, 648, 5397, 760, 48593, 908, 71983, 3831, 760, 7075, 13111, 6185, 9740, 34240, 760, 9180, 271, 624, 8425, 311, 6909, 198, 8815, 963, 8470, 8303, 4895, 271, 43791, 198, 21033 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17, 15, 16, 20, 12, 15, 18, 12, 16, 22, 51, 16, 23, 25, 17, 22, 25, 20, 21, 12, 15, 19, 25, 15, 15, 198, 17949, 220, 18, 3039, 220, 16, 14, 21, 374, 220, 18, 14, 21, 892, 646, 387, 43799, 311, 220, 16, 14, 17, 198, 17, 15, 16, 20, 12, 15, 18, 12, 16, 22, 51, 16, 23, 25, 19, 16, 25, 19, 21, 12, 15, 19, 25, 15, 15, 271, 14374, 1096, 2160, 264, 35442, 21806, 271, 36934, 1870, 11253, 6644, 14720, 11, 55942, 1995, 348, 33070, 369, 553, 264, 1424, 2268, 18504, 2083, 315, 11647, 13, 30317, 398, 702, 11728, 315, 1550, 4271, 11253, 11, 678, 315, 1105, 15516, 86216, 553, 1039, 1429, 21789, 3942, 3613, 11, 714, 22909, 11253, 525, 279, 27707, 315, 279, 27707, 624, 17949, 220, 16, 14, 17, 4102, 145129, 220, 16, 14, 21, 382, 1654, 1414, 429, 220, 16, 14, 21, 366, 220, 16, 14, 17, 11, 773, 582, 646, 738, 705, 458, 23606, 311, 1490, 1246, 1657, 10993, 525, 4362, 369, 1105, 311, 387, 6144, 382, 7, 16, 14, 21, 50724, 284, 220, 16, 14, 17, 198, 9697, 16, 14, 21, 50724, 60, 24768, 220, 21, 284, 508, 16, 14, 17, 60, 4102, 17568, 220, 21, 198, 87, 284, 220, 21, 14, 17, 284, 220, 18, 271, 1986, 23606, 4933, 429, 220, 16, 14, 21, 4102, 17568, 220, 18, 284, 220, 16, 14, 17, 11, 8916, 582, 1184, 220, 18, 10993, 315, 220, 16, 14, 21, 311, 6144, 220, 16, 2975, 315, 220, 16, 14, 17, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15, 271, 2, 2585, 653, 498, 975, 279, 10250, 8168, 3491, 1939, 16196, 25, 220, 23, 14, 16, 23, 14, 17, 15, 16, 24, 271, 53896, 2657, 271, 16, 19, 88, 4134, 271, 16, 13, 7379, 700, 678, 279, 9363, 369, 279, 2661, 1372, 198, 17, 13, 8427, 279, 10250, 5109, 700, 315, 1105, 198, 18, 13, 9735, 311, 21749, 279, 1372, 553, 1846, 10250, 5109, 323, 1490, 421, 894, 10601, 374, 3204, 382, 840, 25, 220, 23, 438, 264, 10250, 8168, 5248, 284, 220, 17, 353, 220, 17, 353, 220, 17, 271, 53896, 2657, 271, 16, 19, 88, 4134, 271, 95259, 488, 17, 15, 29993, 198, 48, 25, 2585, 653, 498, 975, 279, 10250, 8168, 3491, 5267, 8890, 198, 23322, 614, 4755, 5267, 11686, 4755, 271, 14374, 3555, 374, 279, 444, 9985, 448, 10250, 8168, 2022, 1667, 264, 8168, 4916, 1667, 5109, 220, 18, 323, 220, 19, 1939, 4792, 594, 264, 2696, 315, 4960, 975, 369, 419, 3491, 714, 1588, 5780, 13, 220, 18, 374, 2669, 10250, 773, 432, 3171, 944, 2167, 614, 264, 8168, 4916, 476, 10250, 8168, 2022, 13, 576, 10250, 8168, 2022, 315, 220, 19, 374, 220, 17, 856, 220, 17, 892, 5868, 1075, 419, 304, 264, 8168, 4916, 13, 19, 17, 11, 17, 18, 323, 220, 19, 614, 902, 4185, 10250, 9363, 11, 773, 279, 444, 9985, 374, 862, 1985, 11, 220, 16, 17, 271, 14374, 2160, 264, 8168, 264, 10250, 1372, 1939, 64, 8168, 374, 264, 8168, 1154, 264, 10250, 1372, 374, 264, 10250, 1372, 11, 714, 264, 10250, 8168, 374, 264, 8168, 892, 374, 264, 10250, 1372, 13, 432, 702, 311, 6761, 389, 1128, 1372, 1372, 13, 1343, 220, 16, 18, 374, 264, 10250, 1372, 271, 14374, 2585, 653, 498, 1473, 975, 369, 9271, 10250, 5109, 1939, 10253, 264, 8168, 4916, 382, 14374, 2160, 2326, 264, 10250, 8168, 1939, 9454, 13, 5765, 882, 2326, 374, 264, 8168, 11, 432, 374, 264, 10250, 8168, 382, 14374, 2160, 220, 21, 264, 10250, 8168, 315, 220, 16, 18, 17, 1939, 2132, 374, 264, 8168, 315, 220, 16, 18, 17, 11, 537, 264, 10250, 8168, 382, 14374, 3555, 374, 264, 4185, 10250, 8168, 1939, 2403, 5109, 614, 9363, 13, 4329, 9363, 525, 10250, 5109, 13, 362, 10250, 8168, 374, 264, 8168, 429, 374, 264, 10250, 1372, 13, 362, 4185, 10250, 8168, 374, 264, 10250, 8168, 429, 7952, 389, 279, 1140, 315, 9363, 315, 1378, 476, 803, 2661, 5109, 382, 14374, 2160, 220, 16, 24, 8168, 476, 10250, 1939, 16, 24, 374, 264, 10250, 8168, 382, 14374, 2160, 220, 18, 20, 264, 10250, 476, 264, 8168, 1939, 18, 20, 646, 387, 264, 8168, 11, 714, 432, 374, 537, 10250, 382, 14374, 3155, 8168, 12408, 2677, 975, 369, 25597, 279, 12196, 4185, 9363, 1939, 2679, 498, 9245, 1105, 12440, 11, 8168, 12408, 2677, 975, 311, 8253, 279, 10250, 8168, 2022, 315, 264, 1372, 13, 9646, 498, 9429, 279, 10250, 8168, 8040, 315, 1378, 476, 803, 5109, 11, 432, 374, 12040, 4135, 311, 1477, 279, 12196, 4185, 8168, 315, 1105, 504, 1052, 382, 14374, 3555, 374, 279, 10250, 8168, 315, 220, 18, 22, 1939, 3862, 374, 902, 8168, 2022, 13, 220, 18, 22, 374, 264, 10250, 1372, 13, 18, 22, 374, 2669, 10250, 13, 11445, 1172, 10250, 8168, 374, 5086, 382, 14374, 2160, 220, 23, 18, 264, 10250, 8168, 476, 27714, 8168, 1939, 23, 16, 374, 537, 10250, 13, 11445, 10250, 8168, 2022, 374, 220, 18, 87, 18, 87, 18, 87, 18, 382, 14374, 2160, 220, 16, 21, 15, 264, 10250, 8168, 476, 27714, 8168, 1939, 3872, 220, 16, 24, 264, 27714, 476, 10250, 8168 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 48, 1447, 2, 3555, 374, 279, 4226, 311, 264, 46444, 3491, 2598, 1939, 32, 1447, 785, 6291, 311, 264, 46444, 3491, 374, 2598, 279, 330, 3031, 1189, 1752, 3110, 11, 279, 1985, 315, 220, 17, 323, 220, 18, 374, 220, 21, 13, 3197, 279, 3409, 330, 3031, 1, 7952, 304, 264, 35972, 3409, 3491, 11, 432, 374, 264, 1841, 429, 46444, 374, 5871, 382, 565, 13655, 20909, 271, 33493, 25, 3217, 81, 13534, 7671, 56, 220, 17, 13, 15, 271, 4854, 315, 279, 3040, 6770, 796, 410, 4059, 938, 7525, 702, 264, 3281, 4647, 18860, 279, 1102, 13, 1752, 5256, 11, 279, 3409, 374, 330, 1242, 1335, 369, 75240, 432, 374, 330, 59251, 1335, 323, 369, 12804, 432, 374, 330, 13492, 1167, 1189, 576, 3409, 1985, 4041, 504, 279, 19458, 3409, 330, 776, 7545, 485, 1335, 7290, 311, 330, 81377, 13241, 1, 476, 330, 7633, 700, 1189, 576, 3409, 74762, 4041, 504, 279, 19458, 3409, 330, 13492, 79363, 1335, 7290, 330, 5158, 1657, 3039, 1189, 576, 3409, 2629, 374, 1083, 504, 19458, 323, 374, 2805, 369, 330, 1242, 37727, 1335, 7290, 330, 74154, 2217, 32200, 1447, 565, 24369, 23382, 271, 6667, 362, 1447, 2610, 646, 1477, 41995, 46444, 26131, 2860, 389, 4149, 37683, 20306, 19, 73896, 905, 13, 1913, 279, 2115, 24413, 3108, 315, 279, 34589, 11, 4205, 389, 330, 57251, 1693, 1, 1212, 279, 14496, 330, 15944, 40894, 1189, 5005, 4205, 389, 330, 57251, 1693, 42152, 323, 66276, 2217, 88082, 9449, 510, 6667, 362, 1447, 32, 7130, 1985, 46444, 12111, 374, 279, 1882, 304, 892, 1817, 949, 315, 825, 1372, 374, 54916, 553, 1817, 949, 315, 2441, 1372, 11, 1283, 892, 279, 3871, 525, 3694, 3786, 13, 1527, 8660, 315, 1992, 897, 374, 5871, 311, 990, 419, 12111, 11, 323, 279, 7772, 5109, 525, 54916, 1156, 382, 88082, 9449, 510, 6667, 362, 1447, 1249, 2736, 7130, 1985, 46444, 11, 498, 990, 279, 2846, 6704, 3343, 315, 5109, 11, 84192, 1817, 15723, 315, 264, 1372, 553, 1817, 15723, 315, 279, 1008, 1372, 323, 7842, 279, 3059, 1393, 4633, 279, 1992, 897, 315, 1817, 15723, 1119, 2692, 13, 3776, 315, 279, 1429, 4185, 4494, 315, 46444, 5322, 17601, 264, 6716, 315, 1378, 48342, 5109, 13, 3197, 3238, 448, 1493, 5322, 11, 912, 264, 2790, 315, 3040, 7130, 3871, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 5832, 315, 9167, 323, 38996, 315, 758, 40122, 271, 565, 82713, 21756, 271, 9885, 279, 4126, 315, 3072, 315, 279, 4426, 315, 3072, 3501, 304, 19037, 393, 13, 16, 17, 323, 1221, 1477, 279, 4445, 315, 77452, 315, 279, 1849, 911, 458, 8024, 1526, 279, 4126, 315, 3072, 323, 15279, 311, 279, 379, 35321, 382, 565, 82713, 11702, 804, 271, 9392, 315, 9167, 198, 83817, 315, 758, 40122, 271, 565, 576, 43517, 518, 264, 12478, 271, 44, 16, 284, 220, 16, 7351, 11, 435, 16, 284, 320, 16, 72, 488, 220, 15, 73, 8, 296, 198, 44, 17, 284, 220, 17, 7351, 11, 435, 17, 284, 320, 19, 72, 488, 220, 15, 73, 8, 296, 198, 44, 18, 284, 220, 18, 7351, 11, 435, 18, 284, 320, 21, 72, 488, 220, 15, 73, 8, 296, 198, 25824, 2790, 284, 220, 21, 7351, 271, 55, 315, 18090, 284, 220, 16, 14, 21, 320, 15, 488, 220, 23, 488, 220, 16, 23, 8, 284, 220, 16, 18, 14, 18, 296, 198, 56, 315, 18090, 284, 220, 16, 14, 21, 320, 15, 488, 220, 15, 488, 220, 15, 8, 284, 220, 15, 296, 271, 40, 284, 296, 49, 14085, 47822, 17, 92, 14085, 198, 40, 284, 220, 21, 320, 19, 13, 18, 18, 18, 8, 14085, 47822, 17, 92, 14085, 198, 40, 284, 220, 16, 16, 17, 13, 21, 21, 21, 22, 20972, 76, 14085, 47822, 17, 92, 14085, 271, 785, 4226, 572, 4969, 13, 11114, 369, 279, 1492, 271, 820, 48384, 1368, 271, 6667, 281, 16, 15, 12, 16, 17, 16008, 198, 18, 25016, 9592, 24942, 25, 220, 18, 21, 24 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17568, 198, 1949, 8627, 9549, 311, 4093, 9353, 49795, 1597, 11445, 31525, 481, 220, 22, 14069, 481, 15585, 220, 17, 13, 18, 481, 22079, 220, 22, 24, 68, 198, 1949, 8627, 9549, 311, 4093, 9353, 49795, 1597, 11445, 31525, 481, 220, 22, 14069, 481, 15585, 220, 17, 13, 18, 481, 22079, 220, 22, 24, 68, 271, 78988, 2, 264, 8, 6928, 429, 421, 264, 738, 328, 702, 55880, 487, 296, 11, 1380, 296, 374, 264, 271, 45185, 25, 220, 24, 22, 23, 15, 15, 22, 18, 18, 23, 18, 15, 24, 20, 220, 18, 22, 271, 565, 12478, 369, 3491, 220, 22, 24, 36, 15585, 220, 17, 13, 18, 271, 4839, 9353, 49795, 323, 11445, 31525, 760, 220, 22, 339, 14069, 271, 6667, 2918, 2190, 22676, 198, 6667, 220, 17, 24, 15, 16, 14822, 14319, 29208, 9904, 27956, 553, 44624, 323, 3832, 11647, 198, 6667, 2126, 220, 17, 19, 14, 22, 1492, 504, 19173, 32542, 4108, 12629, 56519, 271, 4839, 9353, 49795, 323, 11445, 31525, 760, 220, 22, 339, 14069, 271, 19, 220, 20, 220, 16, 220, 18, 18, 24, 19276, 198, 17, 19, 198, 18, 198, 31198, 220, 22, 24, 36, 271, 31198, 220, 22, 24, 36, 271, 64, 8, 4102, 7812, 429, 421, 264, 738, 328, 4102, 4648, 55880, 487, 296, 11, 4102, 2870, 296, 4102, 285, 264, 6785, 7546, 11, 1221, 1052, 374, 264, 825, 4686, 18589, 43718, 1948, 328, 4102, 437, 279, 738, 314, 16, 13, 220, 17, 28675, 11, 76, 3593, 65, 8, 4102, 7812, 429, 421, 328, 4102, 437, 350, 4102, 546, 1378, 7289, 1817, 448, 296, 4102, 21423, 13, 1380, 296, 4102, 285, 264, 6785, 7546, 11, 1221, 1052, 374, 264, 825, 4686, 18589, 43718, 1948, 328, 4102, 437, 350, 382, 8304, 14319, 12, 8304, 12478, 510, 8304, 220, 16, 315, 220, 18, 271, 41, 451, 60285, 294, 14147, 22, 15, 294, 17, 11, 294, 6, 3342, 297, 73, 983, 11354, 4172, 305, 62, 2804, 6, 80, 1112, 80, 8328, 24293, 294, 353, 78, 18415, 379, 87, 85, 10188, 61, 4605, 1124, 12, 41, 77, 44455, 968, 36, 294, 94765, 1514, 38339, 308, 3138, 78, 61, 2501, 608, 75, 12, 281, 11, 19, 11991, 2572, 809, 77, 86513, 83, 284, 67, 1124, 12, 716, 19, 1523, 47488, 29137, 0, 61, 220, 19, 77, 19, 549, 609, 13, 81, 950, 809, 549, 608, 6, 51017, 481, 14, 481, 56, 7751, 1177, 60, 321, 20251, 6, 15, 16, 305, 2832, 294, 6, 294, 40422, 1154, 22, 12, 481, 358, 481, 75, 9, 294, 3334, 1207, 61, 28, 78, 1154, 362, 13, 305, 3159, 78, 547, 78, 481, 902, 69, 435, 750, 600, 299, 90, 1154, 270, 293, 8, 284, 1154, 81, 91252, 269, 71, 1112, 9, 1154, 297, 90, 61, 20213, 28, 21, 4806, 873, 308, 56, 41, 62550, 9, 1210, 75, 335, 41, 326, 61, 479, 326, 1786, 873, 12, 68, 220, 16, 16, 809, 87, 609, 12314, 52, 671, 294, 926, 24134, 18, 40, 293, 9, 16, 68, 334, 293, 22069, 26, 84, 33742, 4908, 19999, 22545, 32882, 68, 84386, 9, 5265, 11, 66, 91, 9, 68, 5, 9, 30560, 9983, 516, 28007, 31378, 353, 284, 9, 36941, 600, 61, 16, 359, 60564, 293, 284, 77, 11, 309, 9855, 41, 708, 37893, 73, 9, 12028, 81, 33454, 50336, 293, 6306, 5, 59, 259, 358, 61, 308, 16131, 28, 220, 17, 16, 308, 90, 2493, 308, 5, 20, 28, 80258, 77, 43, 6, 1131, 36026, 6138, 20262, 28735, 364, 71, 48243, 8, 308, 28378, 16, 15, 5, 343, 294, 444, 1517, 1103, 85, 11, 18718, 10, 9, 294, 11, 12314, 40096, 259, 19018, 1296, 87, 702, 86, 220, 19, 72977, 20, 5908, 59, 11777, 16, 67, 1154, 385, 17515, 75, 220, 16, 384, 73630, 11, 16, 11819, 4, 60723, 350, 46127, 9, 308, 9, 20211, 86, 358, 1207, 25, 575, 24126, 37261, 59, 1154, 59, 320, 81, 10128, 61, 364, 63045, 10, 293, 28, 10, 32, 8, 259, 6630, 22512, 5, 59, 856, 3859, 358, 30550, 281, 9, 481, 20, 259, 40969, 353, 5123, 488, 91252, 289, 9, 19, 81, 62448, 81, 16, 13960, 385, 297, 54, 5125, 8304, 220, 17, 315, 220, 18, 271, 8304, 220, 18, 315, 220, 18, 271, 67331, 33426, 25, 220, 24, 22, 23, 15, 15, 22, 18, 18, 23, 18, 15, 24, 20, 271, 4839, 9353, 49795, 323, 11445, 31525, 572, 5326, 553, 323, 374, 5815, 311, 279, 33426, 25, 220, 24, 22, 23, 15, 15, 22, 18, 18, 23, 18, 15, 24, 20, 13, 8704, 279, 6291, 311, 220, 22, 24, 36, 504, 220, 17, 13, 18, 12453, 572, 18577, 11, 803, 1091, 220, 18, 24, 15, 4143, 614, 19334, 279, 2480, 3019, 14319, 29208, 4226, 13, 1096, 55085, 19661, 8474, 572, 3465, 369, 279, 55085, 25, 4093, 9353, 49795, 323, 11445, 31525, 11, 13688, 25, 220, 22, 13, 576, 4226, 311, 1036, 64, 8, 6928, 429, 421, 264, 738, 328, 702, 55880, 487, 296, 11, 1380, 296, 374, 264, 6785, 7546, 11, 1221, 1052, 374, 264, 825, 4686, 18589, 43718, 1948, 328, 323, 279, 738, 314, 16, 13, 220, 17, 28675, 11, 76, 568, 7686, 65, 8, 6928, 429, 421, 328, 323, 350, 525, 1378, 7289, 1817, 448, 296, 5424, 13, 1380, 296, 374, 264, 6785, 7546, 11, 1221, 1052, 374, 264, 825, 4686, 18589, 43718, 1948, 328, 323, 350, 1987, 374, 10865, 1495, 1119, 264, 1372, 315, 4135, 311, 1795, 7354, 11, 323, 220, 20, 23, 4244, 13, 576, 2480, 3019, 14319, 29208, 6291, 311, 3491, 25, 220, 22, 24, 36, 504, 12453, 25, 220, 17, 13, 18, 572, 18577, 553, 1154, 1039, 1909, 4149, 6291, 6203, 389, 220, 15, 21, 14, 17, 16, 14, 16, 22, 11, 220, 15, 22, 25, 19, 20, 1402, 13, 1096, 2480, 6291, 14521, 279, 2701, 1376, 14878, 25, 10967, 11, 43718, 11, 1473, 11, 4440, 11, 738, 13, 1096, 60738, 55085, 19661, 8474, 14521, 220, 16, 15, 16, 29632, 11, 323, 220, 19, 17, 17, 16, 9904, 382, 565, 32939, 323, 3960, 1128, 4143, 525, 10161, 271, 8851, 41349, 25, 22752, 4058, 66, 408, 6296, 23550, 549, 576, 18448, 2835, 56636, 21220, 5712, 25, 40069, 198, 30, 641, 90454, 220, 16, 12, 17, 21, 11, 1477, 279, 80856, 25098, 13, 26107, 59, 396, 1124, 37018, 90, 19, 856, 47822, 18, 92, 10, 18, 15170, 87, 47822, 19, 92, 10, 18, 856, 92, 294, 856, 14085, 271, 38599, 25, 758, 10155, 3714, 6805, 12091, 2885, 549, 31525, 315, 279, 18437, 33909, 198, 30, 2679, 1599, 374, 264, 4622, 4194, 3890, 448, 3076, 220, 19, 15, 323, 5297, 37564, 220, 16, 15, 323, 393, 7644, 366, 220, 18, 23, 8, 284, 220, 15, 13, 19, 17, 15, 22, 11, 1221, 393, 7644, 937, 220, 18, 23, 8, 284, 32671, 5973, 6762, 38599, 25, 758, 10155, 3714, 6805, 12091, 2885, 549, 576, 18437, 43819, 5465, 311, 279, 29344, 20855, 86639, 33909, 198, 30, 641, 264, 9544, 20855, 9342, 448, 308, 19080, 323, 18927, 315, 2393, 281, 11, 421, 32671, 10445, 279, 9544, 20855, 4194, 3890, 1599, 374, 13187, 4622, 448, 937, 87, 28, 323, 271, 38599, 25, 758, 10155, 3714, 6805, 12091, 2885, 549, 758, 2202, 911, 72556, 315, 10684, 350, 21213, 198, 30, 7985, 264, 14311, 429, 16555, 279, 12218, 315, 279, 1273, 42489, 304, 264, 1290, 2385, 5687, 1841, 1273, 382, 38599, 25, 758, 10155, 3714, 6805, 12091, 2885, 549, 758, 2202, 911, 279, 55080, 1948, 9043, 3264, 5380, 25, 4148, 28193, 58350, 198, 30, 39782, 315, 32818, 2014, 8253, 279, 26279, 315, 458, 10158, 67028, 11, 264, 6961, 41763, 26618, 49143, 220, 16, 15, 3198, 311, 15759, 304, 264, 3920, 13, 328, 271, 820, 24369, 29632, 271, 49679, 2918, 2190, 12478 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2212, 680, 198, 3136, 26425, 198, 10879, 44535, 198, 3838, 374, 279, 7402, 1372, 5267, 16, 15, 15, 271, 19, 17, 488, 220, 21, 22, 79483, 3838, 374, 220, 16, 15, 24, 1939, 16, 15, 15, 271, 24, 23, 481, 220, 18, 17, 79483, 3838, 374, 220, 21, 21, 1939, 16, 15, 15, 271, 94236, 702, 220, 24, 20, 19507, 7411, 13, 1260, 6696, 220, 17, 19, 7411, 311, 806, 2632, 12923, 13, 2585, 1657, 7411, 1558, 32072, 614, 2115, 1939, 3838, 374, 220, 22, 16, 19507, 7411, 1939, 16, 15, 15, 271, 23, 481, 220, 17, 284, 220, 24, 481, 7436, 271, 3838, 374, 220, 21, 23754, 17, 15, 15, 271, 20, 23, 488, 220, 18, 17, 79483, 3838, 374, 220, 24, 15, 1939, 17, 15, 15, 271, 23, 16, 481, 220, 21, 20, 79483, 3838, 374, 220, 16, 21, 1939, 17, 15, 15, 271, 1519, 12278, 374, 3432, 264, 4614, 13, 2932, 3880, 311, 1281, 220, 22, 20, 8279, 13, 2055, 3041, 1340, 702, 1172, 1865, 220, 20, 21, 8279, 13, 2585, 1657, 803, 8279, 1558, 81836, 1184, 311, 1281, 1939, 3838, 374, 220, 16, 24, 8279, 1939, 17, 15, 15, 271, 16, 17, 481, 7436, 284, 220, 24, 481, 220, 19, 271, 3838, 374, 220, 20, 1939, 18, 15, 15, 271, 18, 24, 488, 220, 20, 17, 79483, 3838, 374, 220, 24, 16, 1939, 18, 15, 15, 271, 22, 20, 481, 220, 19, 24, 79483, 3838, 374, 220, 17, 21, 1939, 18, 15, 15, 271, 49229, 13, 422, 541, 1515, 702, 220, 18, 22, 6467, 304, 1059, 6733, 13, 8906, 50750, 702, 220, 17, 21, 803, 6467, 304, 1059, 6733, 13, 2585, 1657, 6467, 1558, 8906, 50750, 614, 304, 1059, 6733, 1939, 3838, 374, 220, 21, 18, 6467, 1939, 18, 15, 15, 271, 16, 24, 481, 220, 23, 284, 7436, 481, 220, 16, 15, 271, 3838, 374, 220, 17, 16, 1939, 19, 15, 15, 271, 19, 20, 488, 220, 18, 23, 79483, 3838, 374, 220, 23, 18, 1939, 19, 15, 15, 271, 21, 15, 481, 220, 17, 24, 79483, 3838, 374, 220, 18, 16, 1939, 19, 15, 15, 271, 16, 267, 11972, 702, 220, 19, 21, 4143, 11, 220, 17, 303, 11972, 702, 220, 18, 15, 803, 4143, 13, 220, 4102, 4340, 1657, 4143, 1558, 220, 17, 303, 11972, 614, 1939, 3838, 374, 220, 22, 21, 4143, 1939, 19, 15, 15, 271, 16, 20, 481, 30743, 284, 220, 17, 15, 481, 220, 16, 15, 271, 3838, 374, 220, 20, 1939, 20, 15, 15, 271, 21, 20, 488, 220, 17, 20, 79483, 3838, 374, 220, 24, 15, 1939, 20, 15, 15, 271, 23, 17, 481, 220, 19, 22, 79483, 3838, 374, 220, 18, 20, 1939, 20, 15, 15, 271, 41, 14950, 1349, 1045, 6816, 304, 1059, 2311, 389, 7270, 13, 220, 4102, 7941, 1349, 220, 17, 22, 6816, 389, 7014, 13, 220, 4102, 7039, 1340, 374, 389, 2150, 220, 20, 15, 304, 1059, 2311, 13, 220, 4102, 4340, 1657, 6816, 1521, 1340, 1349, 389, 7270, 1939, 3838, 374, 220, 17, 18, 6816, 1939, 20, 15, 15, 271, 17, 15, 481, 220, 20, 284, 7436, 481, 220, 20, 271, 3838, 374, 220, 16, 20, 1939, 2612, 311, 15562 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 42509, 14806, 271, 785, 14409, 8168, 504, 1635, 311, 6486, 374, 220, 18, 16, 20, 20, 21, 24, 20, 17, 11, 892, 3363, 429, 220, 16, 1042, 374, 6144, 311, 220, 18, 16, 20, 20, 21, 24, 20, 17, 6486, 1447, 16, 42338, 284, 220, 18, 16, 20, 20, 21, 24, 20, 17, 274, 271, 1249, 5508, 220, 17, 24, 18, 21, 1635, 1119, 6486, 582, 614, 311, 30270, 220, 17, 24, 18, 21, 553, 279, 14409, 8168, 304, 1973, 311, 633, 279, 882, 3311, 504, 1635, 311, 6486, 13, 1205, 646, 1083, 1352, 264, 4285, 21117, 311, 11047, 279, 1102, 1447, 16, 42338, 11397, 220, 18, 16, 20, 20, 21, 24, 20, 17, 274, 271, 17, 24, 18, 21, 42338, 11397, 350, 1141, 692, 50, 3948, 279, 3403, 21117, 311, 6851, 279, 882, 350, 304, 6486, 1447, 51, 1141, 8, 284, 220, 17, 24, 18, 21, 42338, 24768, 220, 18, 16, 20, 20, 21, 24, 20, 17, 274, 271, 51, 1141, 8, 284, 220, 24, 17, 21, 20, 16, 17, 16, 16, 15, 22, 17, 274, 271, 785, 1590, 1102, 374, 1447, 17, 24, 18, 21, 42338, 11397, 220, 24, 17, 21, 20, 16, 17, 16, 16, 15, 22, 17, 274, 271, 1654, 31094, 429, 220, 17, 24, 18, 21, 1635, 374, 13578, 311, 220, 24, 17, 21, 20, 16, 17, 16, 16, 15, 22, 17, 6486, 1447, 17, 24, 18, 21, 1635, 284, 220, 24, 17, 21, 20, 16, 17, 16, 16, 15, 22, 17, 6486, 271, 565, 41109, 14409, 271, 1654, 646, 1083, 5508, 553, 34888, 279, 27949, 897, 315, 279, 14409, 8168, 13, 758, 419, 1142, 220, 16, 2086, 374, 6144, 311, 220, 16, 13, 15, 22, 24, 18, 16, 21, 22, 15, 21, 21, 18, 20, 18, 36, 12, 16, 16, 24768, 220, 17, 24, 18, 21, 1635, 382, 14037, 1616, 374, 5488, 429, 220, 17, 24, 18, 21, 1635, 374, 6144, 311, 220, 16, 1683, 115, 220, 16, 13, 15, 22, 24, 18, 16, 21, 22, 15, 21, 21, 18, 20, 18, 36, 12, 16, 16, 6486, 382, 565, 43819, 3426, 1102, 271, 2461, 14976, 9895, 582, 646, 4778, 1039, 1590, 1102, 311, 458, 44868, 34776, 897, 13, 1205, 646, 1977, 429, 1378, 16183, 11627, 7739, 26127, 54441, 1635, 374, 13187, 77876, 37402, 7094, 4743, 7739, 32417, 18589, 3526, 1378, 7739, 44214, 16183, 69949, 37402, 6486, 1447, 17, 24, 18, 21, 42338, 21103, 227, 220, 24, 17, 21, 20, 16, 17, 16, 16, 15, 22, 17, 274, 271, 2082, 10555, 374, 1083, 429, 825, 2086, 374, 13187, 7168, 3039, 1378, 16183, 11627, 7739, 26127, 54441, 1635, 382, 565, 42509, 1965, 271, 14374, 1635, 311, 6486, 9487, 271, 2461, 3974, 5785, 9895, 11, 3685, 374, 279, 14409, 1965, 498, 646, 990, 311, 5508, 504, 1635, 311, 6486, 271, 41720, 320, 10920, 8, 6486, 320, 82, 340, 17, 24, 18, 22, 1635, 220, 24, 17, 21, 23, 17, 22, 21, 23, 15, 17, 19, 6486, 198, 17, 24, 18, 23, 1635, 220, 24, 17, 22, 16, 19, 18, 17, 19, 24, 22, 21, 6486, 198, 17, 24, 18, 24, 1635, 220, 24, 17, 22, 19, 20, 23, 23, 16, 24, 17, 23, 6486, 198, 17, 24, 19, 15, 1635, 220, 24, 17, 22, 22, 22, 19, 18, 23, 23, 23, 15, 6486, 198, 17, 24, 19, 16, 1635, 220, 24, 17, 23, 15, 23, 24, 24, 20, 23, 18, 17, 6486, 198, 17, 24, 19, 17, 1635, 220, 24, 17, 23, 19, 15, 20, 20, 17, 22, 23, 19, 6486, 198, 17, 24, 19, 18, 1635, 220, 24, 17, 23, 22, 17, 16, 15, 24, 22, 18, 21, 6486, 198, 17, 24, 19, 19, 1635, 220, 24, 17, 24, 15, 18, 21, 21, 21, 21, 23, 23, 6486, 198, 17, 24, 19, 20, 1635, 220, 24, 17, 24, 18, 20, 17, 17, 18, 21, 19, 15, 6486, 198, 17, 24, 19, 21, 1635, 220, 24, 17, 24, 21, 21, 22, 23, 15, 20, 24, 17, 6486 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 61531, 271, 565, 55716, 315, 220, 17, 35, 20816, 271, 9485, 525, 1045, 4185, 1378, 32420, 20816, 323, 279, 14806, 68, 369, 37614, 862, 5671, 1447, 14374, 38031, 271, 785, 3082, 315, 264, 21495, 374, 4279, 1181, 2608, 3039, 1181, 2331, 1447, 65039, 32, 284, 220, 26062, 71, 144568, 65, 65039, 271, 1986, 4278, 369, 678, 42446, 13, 1416, 498, 1865, 264, 2975, 315, 264, 21495, 11, 323, 3931, 705, 279, 2975, 773, 429, 498, 1865, 264, 22756, 448, 279, 4024, 21495, 11, 498, 1035, 1490, 429, 279, 22756, 702, 279, 15336, 315, 279, 2608, 323, 2331, 315, 279, 21495, 13, 576, 3082, 374, 8916, 4279, 315, 419, 22756, 2219, 14374, 6252, 263, 594, 14806, 271, 785, 3082, 315, 264, 21495, 646, 1083, 387, 16588, 1667, 6252, 263, 594, 14806, 1447, 59, 58736, 3, 32, 284, 11995, 248, 90, 82, 1141, 7409, 2376, 82, 1455, 2376, 82, 1786, 9139, 59, 58736, 66426, 9064, 32882, 64, 59, 54876, 32882, 65, 65039, 323, 32882, 66, 65039, 525, 512, 28316, 315, 279, 11067, 315, 279, 21495, 11, 323, 32882, 82, 284, 314, 64, 35093, 49138, 4472, 17, 65039, 271, 33271, 25, 32882, 32, 284, 444, 61, 17, 59, 54876, 1380, 444, 374, 279, 3084, 315, 825, 3108, 382, 21095, 25, 32882, 32, 284, 444, 2858, 233, 227, 467, 59, 54876, 1380, 444, 374, 279, 3084, 11, 323, 467, 374, 279, 2374, 382, 72162, 2855, 588, 320, 38022, 657, 22205, 1648, 1124, 2365, 64016, 4472, 17, 59, 54876, 1380, 281, 323, 2804, 525, 279, 28316, 315, 279, 1378, 84018, 1127, 382, 72162, 2855, 355, 4319, 9077, 291, 916, 22756, 34939, 32882, 43, 2858, 233, 227, 472, 59, 54876, 1380, 444, 374, 279, 3084, 323, 472, 374, 279, 2608, 320, 712, 68551, 311, 444, 3593, 565, 12359, 17248, 271, 641, 1378, 15336, 320, 20805, 438, 389, 264, 10063, 6573, 315, 5567, 701, 279, 25941, 315, 264, 21495, 678, 912, 705, 311, 220, 16, 23, 15, 11616, 382, 785, 3232, 42939, 21495, 702, 678, 2326, 3108, 323, 678, 2326, 25941, 6144, 13, 576, 25941, 525, 220, 21, 15, 11616, 1817, 382, 785, 33456, 346, 642, 21495, 702, 1378, 11067, 279, 1852, 3084, 13, 1096, 7460, 1378, 25941, 311, 387, 1852, 438, 1632, 382, 51, 19842, 89, 2356, 25, 825, 738, 315, 1378, 15279, 11067, 198, 76275, 346, 642, 489, 2027, 89, 2356, 25, 1378, 11067, 6144, 3084, 11, 279, 1008, 1378, 11067, 15279, 198, 4272, 5054, 839, 2396, 25, 1378, 7289, 315, 15279, 323, 6144, 3084, 11067, 198, 72162, 2855, 355, 25, 1378, 7289, 315, 1378, 15279, 11067, 11, 220, 19, 6144, 28316, 11, 1378, 7289, 315, 19516, 25941, 271, 565, 38233, 315, 11375, 32242, 271, 32, 5390, 1616, 311, 7512, 264, 6083, 374, 311, 1584, 1181, 1372, 315, 21844, 5128, 315, 45120, 13, 4220, 525, 279, 1372, 315, 7678, 5128, 429, 1231, 387, 14764, 1526, 264, 6083, 11, 3941, 892, 264, 21844, 315, 279, 6083, 1035, 1102, 304, 458, 19516, 6083, 382, 14374, 38031, 5128, 315, 45120, 271, 97794, 1231, 614, 7168, 11, 825, 476, 2326, 5128, 315, 45120, 11, 11649, 389, 862, 943, 382, 2082, 3232, 42939, 21495, 702, 220, 18, 5128, 315, 45120, 382, 24509, 42939, 42446, 614, 220, 18, 5128, 315, 45120, 198, 2460, 315, 45120, 369, 458, 33456, 346, 642, 21495, 271, 2082, 33456, 346, 642, 702, 1172, 825, 382, 11409, 4494, 315, 42446, 614, 902, 5128, 315, 45120, 11, 773, 862, 16725, 374, 4911, 382, 32, 9334, 25963, 3941, 264, 16202, 1555, 1526, 1181, 12261, 11, 323, 264, 12140, 1555, 1526, 1181, 12261, 13, 1084, 1083, 702, 5128, 315, 45120, 3941, 1181, 84018, 1127, 13, 1084, 8916, 702, 3040, 5128, 315, 21844, 45120, 382, 32, 21669, 2855, 355, 11, 1075, 264, 22756, 11, 702, 220, 17, 5128, 315, 45120, 271, 32, 21669, 2855, 355, 323, 264, 22756, 614, 1172, 220, 17, 5128, 315, 45120, 382, 32, 57030, 839, 2396, 702, 902, 5128, 315, 45120, 382, 565, 27360, 1663, 11375, 32242, 271, 32, 6083, 892, 702, 91271, 476, 56836, 45120, 374, 825, 892, 11, 979, 45620, 220, 18, 21, 15, 11616, 31734, 18618, 458, 19516, 1352, 311, 279, 5916, 2309, 825, 476, 803, 3039, 382, 4431, 315, 91271, 45120, 25, 279, 1372, 315, 3039, 458, 1633, 4990, 458, 19516, 6083, 1393, 1660, 45620, 1526, 220, 18, 21, 15, 11616, 13, 384, 1302, 13, 264, 9334, 702, 91271, 45120, 315, 220, 19, 11, 264, 21669, 2855, 355, 220, 17, 11, 264, 21495, 220, 18, 382, 565, 12911, 8008, 271, 14374, 28157, 5739, 389, 9965, 11635, 1447, 785, 1429, 3213, 4549, 374, 1447, 1282, 73881, 6988, 271, 851, 419, 1509, 304, 279, 8544, 1447, 84744, 323, 1163, 73881, 6988, 271, 437, 1657, 803, 9709, 304, 279, 3832, 1447, 14374, 49795, 271, 8815, 33705, 374, 279, 1429, 2989, 5392, 315, 8038, 13, 576, 2222, 311, 3535, 279, 1879, 323, 279, 15494, 1667, 37596, 374, 438, 2310, 438, 8267, 7923, 11, 323, 702, 6069, 311, 279, 8038, 323, 5440, 315, 3351, 13, 14934, 911, 279, 12538, 323, 3840, 315, 37596, 389, 9965, 16915, 5391, 382, 14374, 8513, 56016, 271, 820, 66121, 461, 45111, 10068, 5120, 271, 16, 23, 18, 19, 481, 220, 16, 24, 15, 22, 271, 35, 1763, 461, 45111, 10068, 5120, 11, 220, 16, 23, 18, 19, 481, 220, 16, 24, 15, 22, 11, 572, 264, 8522, 8424, 380, 879, 7881, 279, 6481, 25492, 292, 6633, 315, 34157, 382, 14374, 24535, 315, 279, 1899, 2146, 1654, 3003, 1293, 2474, 2765, 279, 5693, 911, 9977, 2297, 26, 582, 3003, 1101, 5558, 279, 4367, 13, 1597, 429, 594, 1576, 432, 594, 537, 911, 821, 11, 432, 594, 911, 2355, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 6928, 429, 279, 6172, 400, 32, 284, 1124, 7265, 90, 65, 18110, 92, 220, 16, 609, 481, 16, 609, 220, 20, 24984, 481, 16, 609, 220, 17, 609, 220, 16, 24984, 220, 20, 609, 220, 16, 609, 220, 18, 1124, 408, 90, 65, 18110, 31716, 374, 264, 54343, 6172, 382, 565, 220, 16, 21806, 271, 7740, 2011, 510, 6667, 1416, 362, 15159, 72, 10327, 92, 387, 264, 6172, 296, 23986, 6172, 1154, 1221, 279, 6172, 12180, 553, 946, 51713, 279, 6978, 323, 3250, 315, 362, 374, 2598, 438, 50923, 315, 362, 624, 6667, 362, 9334, 6172, 362, 5818, 64, 6401, 90, 3172, 31716, 60, 374, 1053, 311, 387, 54343, 421, 362, 60285, 32, 429, 374, 400, 58, 64, 15159, 3172, 92, 66128, 64, 15159, 7754, 25439, 3, 369, 678, 3204, 897, 315, 600, 323, 502, 624, 22043, 198, 3, 32, 284, 1124, 7265, 90, 65, 18110, 92, 220, 16, 609, 481, 16, 609, 220, 20, 24984, 481, 16, 609, 220, 17, 609, 220, 16, 24984, 220, 20, 609, 220, 16, 609, 220, 18, 1124, 408, 90, 65, 18110, 92, 25046, 88198, 315, 264, 6172, 646, 387, 12180, 553, 946, 51713, 279, 6978, 323, 8147, 624, 3, 32, 6, 34433, 7265, 90, 65, 18110, 92, 16, 609, 481, 16, 609, 220, 20, 3422, 12, 16, 609, 220, 17, 609, 220, 16, 3422, 20, 609, 220, 16, 609, 220, 18, 59, 408, 90, 65, 18110, 92, 25046, 32, 9334, 6172, 374, 1053, 311, 387, 54343, 421, 362, 60285, 32, 624, 58736, 26243, 508, 64, 15159, 7754, 92, 66128, 64, 15159, 3172, 25439, 3, 369, 678, 2750, 315, 600, 609, 502, 624, 39562, 15159, 17, 16, 92, 10829, 16, 24239, 15159, 16, 17, 92, 25046, 39562, 15159, 18, 16, 51185, 20, 24239, 15159, 16, 18, 92, 25046, 39562, 15159, 18, 17, 51185, 16, 24239, 15159, 17, 18, 92, 25046, 39562, 15159, 16, 16, 51185, 16, 24239, 15159, 16, 16, 92, 25046, 39562, 15159, 17, 17, 51185, 17, 24239, 15159, 17, 17, 92, 25046, 39562, 15159, 18, 18, 51185, 18, 24239, 15159, 18, 18, 92, 25046, 39, 763, 400, 64, 15159, 7754, 51185, 64, 15159, 3172, 92, 25046, 54815, 362, 374, 54343, 6172, 624, 56724, 5076, 220, 16, 17, 11, 220, 17, 15, 16, 18, 271, 16, 4226, 271, 16, 4226, 271, 16, 4226, 271, 16, 4226, 271, 16, 4226, 271, 16, 4226, 271, 16, 4226 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 33, 15095, 925, 8753, 10842, 1867, 1348, 1317, 28455, 42709, 25, 17091, 4102, 40663, 17091, 4102, 21159, 17091, 4102, 11733, 50393, 25012, 19100, 25, 17091, 4102, 14625, 4149, 17091, 4102, 76443, 17091, 4102, 18320, 17091, 4102, 78169, 17091, 4102, 31359, 355, 17091, 4102, 13317, 40372, 17091, 4102, 4093, 9353, 17091, 4102, 34200, 17091, 4102, 98512, 17091, 4102, 38918, 17091, 4102, 12165, 663, 884, 17091, 4102, 11099, 17091, 4102, 5624, 663, 884, 17091, 4102, 12809, 40372, 17091, 4102, 24624, 17091, 4102, 6909, 2449, 17091, 4102, 1163, 73881, 6988, 3550, 1365, 350, 1561, 6642, 29098, 576, 13173, 3550, 17091, 5765, 8115, 738, 448, 264, 5944, 4512, 389, 432, 11, 1741, 438, 458, 1973, 12687, 11, 18266, 11, 4992, 727, 69, 13, 21963, 50078, 3550, 11, 38596, 9160, 3550, 11, 18266, 3550, 11, 1909, 5729, 3550, 13, 25366, 17091, 362, 7877, 7329, 11, 678, 3501, 315, 892, 525, 3232, 307, 11202, 504, 264, 2661, 1459, 11, 2598, 279, 4126, 13, 758, 220, 18, 32420, 21963, 50078, 3550, 11, 279, 23606, 315, 264, 25366, 315, 10578, 435, 323, 4126, 320, 71, 11, 502, 11, 595, 8, 374, 785, 4647, 25366, 1231, 1083, 8300, 311, 279, 6437, 61115, 553, 419, 7329, 11, 323, 279, 14791, 374, 1221, 2598, 279, 1787, 25366, 315, 10578, 435, 92768, 8789, 11, 264, 25366, 1231, 387, 4512, 438, 279, 738, 315, 3501, 304, 308, 32420, 3550, 320, 269, 894, 18266, 3550, 8, 3232, 307, 11202, 504, 264, 2661, 1459, 13, 576, 4982, 25366, 304, 308, 32420, 3550, 374, 11136, 3371, 9253, 328, 308, 481, 220, 16, 13, 14301, 11, 279, 4982, 25366, 304, 19119, 220, 18, 27947, 374, 3371, 9253, 328, 17, 11, 323, 279, 4982, 12671, 304, 279, 11031, 374, 3371, 9253, 328, 16, 13, 9334, 17091, 362, 5792, 29372, 3432, 3040, 6144, 11067, 323, 3040, 1290, 25941, 13, 52635, 738, 17091, 1416, 264, 374, 458, 67948, 11, 264, 738, 328, 304, 264, 374, 2598, 52635, 421, 328, 702, 2477, 39433, 19246, 448, 1449, 7877, 650, 65686, 25993, 315, 264, 13, 3364, 3491, 17091, 220, 4102, 2992, 32638, 9238, 362, 35972, 3491, 10449, 438, 264, 1931, 30084, 6534, 13, 3496, 279, 4549, 369, 3491, 21828, 12538, 13, 25993, 17091, 362, 738, 362, 374, 264, 25993, 315, 264, 738, 425, 421, 1449, 2392, 315, 362, 374, 1083, 458, 2392, 315, 425, 13, 1416, 304, 5256, 425, 374, 264, 25993, 315, 362, 11, 1221, 362, 284, 425, 11, 714, 421, 537, 1221, 362, 1231, 387, 1053, 311, 387, 264, 6169, 25993, 315, 425, 727, 69, 13, 1026, 44146, 13, 32256, 17091, 2014, 32256, 264, 1372, 296, 504, 264, 1372, 308, 374, 311, 11047, 279, 6672, 315, 296, 323, 308, 13, 1416, 296, 374, 2686, 1091, 308, 582, 1896, 279, 6785, 6672, 11, 5937, 582, 1896, 279, 8225, 315, 279, 6672, 13, 1096, 374, 36522, 6045, 311, 7842, 279, 8225, 315, 296, 311, 308, 13, 33565, 17091, 758, 264, 5944, 448, 458, 1973, 12687, 4512, 5193, 432, 11, 279, 33565, 315, 458, 2392, 264, 374, 279, 3245, 2392, 7046, 1091, 264, 11, 421, 1741, 6724, 727, 69, 13, 39174, 13, 2629, 746, 17091, 16246, 264, 738, 362, 11, 279, 2629, 746, 315, 362, 11, 3371, 9253, 553, 285, 279, 738, 8482, 678, 315, 279, 5424, 315, 279, 5424, 315, 362, 11, 429, 374, 11, 432, 374, 279, 11300, 315, 279, 5424, 315, 362, 13, 2629, 746, 88177, 17091, 1527, 88177, 315, 738, 10126, 892, 5302, 429, 421, 362, 374, 894, 738, 11, 1221, 279, 2629, 746, 315, 362, 374, 1083, 264, 738, 13, 1026, 17091, 25973, 7282, 7101, 315, 34125, 372, 13, 1026, 44146, 17091, 362, 738, 362, 374, 264, 1026, 44146, 315, 264, 738, 425, 421, 1449, 2392, 315, 425, 374, 458, 2392, 315, 362, 727, 69, 13, 25993, 13, 67951, 25941, 17091, 9043, 25941, 525, 67951, 421, 807, 912, 705, 311, 220, 16, 23, 15, 12348, 320, 79, 50784, 568, 34, 69, 13, 57435, 25941, 13, 34125, 372, 17091, 576, 34125, 372, 315, 894, 25993, 315, 264, 13482, 398, 11457, 738, 374, 279, 3245, 8416, 6822, 315, 279, 25993, 13, 758, 3953, 11, 279, 34125, 372, 315, 894, 738, 315, 5109, 374, 279, 24632, 1372, 304, 279, 738, 892, 374, 7046, 1091, 476, 6144, 311, 1449, 1372, 304, 279, 738, 13, 758, 264, 4583, 13482, 1973, 279, 34125, 372, 315, 894, 61115, 738, 2677, 6724, 727, 69, 13, 4132, 3295, 11, 3245, 8416, 6822, 88177, 13, 1729, 67, 17091, 320, 81, 546, 8, 1527, 60654, 3704, 315, 264, 1372, 11, 384, 1302, 2572, 279, 9334, 3704, 315, 1378, 13, 24369, 4549, 25, 78041, 1663, 487, 315, 279, 15619, 18854, 315, 220, 17, 1729, 7606, 17091, 362, 1729, 50491, 729, 11, 600, 1734, 2572, 264, 729, 429, 14043, 518, 3245, 825, 2392, 315, 1181, 7947, 311, 1817, 2392, 315, 1181, 2088, 727, 69, 13, 25071, 11, 22424, 11915, 13, 16288, 3732, 4916, 17091, 2573, 30435, 25, 1752, 264, 458, 23809, 55880, 11, 458, 264, 6222, 355, 3732, 4916, 374, 264, 4916, 350, 1741, 429, 760, 51, 91, 284, 264, 11, 323, 1449, 8781, 323, 1449, 3196, 713, 466, 315, 350, 702, 55880, 487, 2686, 1091, 264, 727, 69, 13, 1644, 2382, 89, 1630, 77, 4916, 13, 35296, 12218, 17091, 36101, 11046, 311, 19482, 11, 600, 1734, 2572, 892, 4278, 1172, 448, 650, 93461, 17738, 13, 576, 1378, 1429, 3545, 1483, 12829, 315, 35296, 12218, 525, 279, 9844, 3005, 82668, 323, 279, 24283, 82668, 13, 54343, 6672, 17091, 576, 54343, 6672, 315, 1378, 7289, 362, 323, 425, 374, 279, 738, 315, 1846, 5424, 429, 525, 304, 2987, 362, 476, 425, 714, 537, 2176, 727, 69, 13, 19246, 11, 11300, 13, 54343, 12687, 17091, 362, 12687, 1036, 3968, 18987, 389, 264, 738, 1599, 374, 54343, 421, 369, 894, 1378, 5424, 856, 323, 379, 304, 1599, 582, 614, 856, 3968, 379, 421, 323, 1172, 421, 379, 3968, 856, 13, 576, 12687, 1036, 3968, 18987, 374, 2598, 96829, 421, 369, 894, 1378, 5424, 856, 323, 379, 582, 614, 429, 856, 3968, 379, 23945, 432, 374, 537, 830, 429, 379, 3968, 856, 11, 323, 432, 374, 2598, 64517, 29459, 421, 15356, 856, 3968, 379, 323, 379, 3968, 856, 1221, 856, 284, 379, 13, 7036, 429, 264, 12687, 1231, 387, 13866, 54343, 11, 96829, 11, 6329, 64517, 29459, 727, 69, 13, 32666, 533, 12687, 11, 1356, 3404, 12687, 13, 350, 1561, 6642, 29098, 576, 13173, 17091, 6771, 350, 387, 264, 35972, 10126, 13, 9774, 1272, 54079, 315, 350, 553, 502, 11, 379, 11, 4992, 2572, 323, 1077, 350, 73, 387, 279, 5114, 429, 1036, 1782, 11652, 502, 374, 830, 304, 350, 18987, 22201, 264, 42453, 78262, 315, 279, 54079, 315, 350, 320, 68, 1302, 2572, 82146, 9588, 78262, 8, 429, 49912, 311, 1817, 11652, 315, 350, 264, 4911, 6785, 7546, 11, 323, 78064, 279, 6785, 7546, 5815, 448, 264, 11652, 502, 553, 3369, 73, 23616, 5005, 1052, 374, 902, 14806, 379, 304, 350, 1741, 429, 379, 7, 14009, 73, 95106, 51, 73, 13, 758, 1008, 4244, 11, 1036, 58577, 854, 304, 264, 10126, 350, 374, 537, 35122, 480, 304, 350, 13, 3550, 1365, 350, 1561, 6642, 29098, 576, 13173, 198, 40567, 760, 51812, 760, 62487, 760, 9630, 30771, 760, 89345, 43745, 13547, 7240, 220, 16, 24, 24, 22, 12, 17, 15, 16, 18, 11, 4149, 15815, 8105, 16109, 608, 86642, 14011, 8800, 1011, 16109, 13, 37167, 1380, 5937, 25921, 11, 3684, 389, 419, 2747, 1231, 387, 16709, 369, 4345, 24017, 990, 2041, 7882, 553, 4143, 323, 53818, 369, 2477, 27826, 11, 16229, 9895, 1172, 13, 2009, 1008, 38556, 304, 4361, 476, 304, 949, 11, 2670, 14346, 38556, 476, 71060, 11, 369, 894, 7428, 11, 3650, 553, 3158, 5326, 9128, 374, 25470, 25921, 13, 5209, 3624, 6042, 11, 50379, 11, 323, 83322, 1667, 1039, 3645, 2150, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 55080, 1948, 53762, 315, 330, 17, 15, 16, 17, 362, 5660, 358, 44535, 14, 31198, 220, 21, 1837, 565, 22079, 220, 21, 271, 785, 6351, 5109, 400, 89, 3, 323, 400, 86, 3, 26553, 400, 89, 47822, 16, 18, 92, 284, 289, 4779, 400, 86, 47822, 16, 16, 92, 284, 1147, 4779, 323, 279, 49952, 949, 315, 400, 89, 3, 374, 57960, 15940, 35702, 37018, 90, 76, 59, 2493, 15170, 77, 3417, 54876, 369, 12040, 10250, 6785, 25780, 400, 76, 3, 323, 400, 77, 3, 448, 400, 76, 7379, 400, 77, 2418, 271, 565, 22676, 271, 14374, 12478, 220, 16, 271, 3136, 3696, 10607, 279, 1156, 23606, 1119, 279, 2086, 11, 582, 1477, 429, 4930, 89, 47822, 16, 18, 5410, 47822, 16, 16, 92, 284, 1147, 3, 323, 8450, 400, 89, 47822, 16, 19, 17, 92, 284, 220, 16, 2418, 2055, 400, 89, 3, 1969, 387, 264, 400, 16, 19, 17, 3, 303, 3704, 315, 30326, 11, 323, 8450, 279, 49952, 949, 315, 400, 89, 3, 686, 387, 57960, 15940, 35702, 37018, 90, 17, 76, 59, 2493, 15170, 16, 19, 17, 3417, 284, 1124, 15940, 35702, 37018, 90, 76, 59, 2493, 15170, 22, 16, 3417, 3, 369, 1045, 400, 76, 3, 448, 400, 15, 1124, 273, 296, 366, 220, 16, 19, 17, 2418, 1988, 5185, 429, 400, 22, 16, 3, 374, 10250, 323, 400, 76, 27, 22, 16, 3, 553, 279, 4682, 315, 279, 3491, 11, 773, 279, 46912, 304, 279, 5693, 315, 419, 897, 686, 2677, 387, 400, 22, 16, 3, 323, 8450, 400, 77, 284, 1124, 79075, 90, 15, 22, 16, 13, 31716, 271, 14374, 12478, 220, 17, 271, 9112, 429, 400, 86, 47822, 16, 19, 18, 51185, 86, 3, 323, 4428, 369, 400, 89, 54876, 323, 807, 525, 537, 6144, 311, 400, 15, 3, 1576, 279, 3405, 23945, 279, 49952, 949, 374, 6785, 13, 14301, 400, 86, 47822, 16, 19, 17, 51185, 89, 47822, 16, 19, 17, 51185, 16, 54876, 773, 1817, 374, 315, 279, 1352, 400, 15940, 7, 17, 1124, 2493, 595, 14, 16, 19, 17, 15087, 1380, 400, 74, 3, 374, 264, 6785, 7546, 1948, 400, 15, 3, 323, 400, 16, 19, 16, 3, 28308, 13, 1096, 15491, 9606, 311, 400, 15940, 51264, 42466, 14, 22, 16, 15087, 11, 323, 400, 15, 22, 16, 3, 374, 10250, 11, 773, 432, 374, 279, 1172, 3204, 46912, 11, 323, 8450, 374, 279, 4226, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 33414, 2828, 4149, 549, 92984, 271, 565, 13383, 23382, 271, 14374, 13383, 15846, 671, 20, 16, 549, 75772, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 16, 16, 549, 70894, 1527, 758, 81638, 1913, 362, 5624, 7083, 25, 356, 5143, 46437, 12614, 13, 21, 2067, 82, 727, 13, 22, 64, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 20, 16, 549, 75772, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 20, 16, 549, 50857, 34713, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 20, 17, 549, 75772, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 20, 18, 549, 75772, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 16, 16, 549, 70894, 1527, 758, 81638, 1913, 362, 5624, 7083, 25, 356, 5143, 46437, 12614, 13, 21, 2067, 82, 727, 13, 22, 64, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 20, 16, 549, 75772, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 19, 22, 16, 549, 576, 5624, 739, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 24197, 69769, 1447, 641, 1973, 311, 11625, 419, 3491, 11, 582, 686, 990, 264, 1372, 1555, 13, 34713, 311, 279, 2115, 315, 7168, 389, 279, 1555, 525, 2686, 1091, 5109, 311, 279, 1290, 382, 54815, 1447, 14374, 13383, 15846, 671, 16, 16, 549, 70894, 1527, 758, 81638, 1913, 362, 5624, 7083, 25, 356, 5143, 46437, 12614, 13, 21, 2067, 82, 727, 13, 22, 64, 271, 14449, 304, 279, 10113, 448, 279, 6169, 1841, 382, 3979, 563 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 641, 279, 58718, 315, 32233, 27422, 11, 582, 525, 8241, 16257, 2615, 311, 1039, 4453, 8105, 74206, 311, 5978, 20909, 48832, 944, 45537, 2219, 2, 4968, 25854, 4149, 271, 10850, 1182, 311, 4102, 364, 8815, 82, 3876, 565, 28338, 311, 4968, 25854, 4149, 271, 30133, 855, 25854, 6888, 7361, 374, 264, 79784, 311, 8660, 5109, 13, 2055, 1496, 1573, 3908, 2841, 320, 3279, 220, 18, 311, 220, 20, 1635, 8, 1191, 448, 5109, 11, 264, 6624, 3311, 315, 882, 1265, 387, 27991, 304, 4752, 1493, 855, 25854, 7361, 13, 4968, 25854, 7361, 1075, 12579, 11, 28273, 11, 536, 7766, 11, 21391, 323, 26297, 686, 738, 279, 6430, 311, 1936, 264, 3746, 1372, 5530, 13, 34713, 1265, 387, 11523, 1172, 1283, 419, 13, 1084, 748, 1283, 279, 5109, 429, 279, 1372, 5036, 646, 387, 11523, 13, 9211, 3055, 279, 1682, 374, 11285, 448, 279, 5109, 11, 4097, 1095, 432, 448, 279, 42429, 374, 8661, 382, 565, 576, 6164, 51001, 271, 1655, 26462, 336, 587, 855, 25854, 6888, 7361, 525, 5798, 3419, 60805, 1635, 13, 1084, 12033, 553, 24588, 323, 3238, 448, 6171, 1075, 12463, 31532, 11, 5383, 10010, 323, 1372, 10010, 13, 5005, 7218, 389, 311, 3238, 448, 30994, 13, 4504, 287, 279, 30994, 323, 4097, 1095, 432, 448, 279, 1290, 5109, 13, 220, 4102, 6025, 279, 1682, 702, 18163, 14977, 62139, 916, 419, 807, 3271, 311, 25009, 323, 24588, 1172, 5109, 13, 14301, 11, 34644, 264, 3746, 16266, 369, 1372, 5530, 382, 565, 2585, 653, 358, 3535, 1939, 32, 69568, 1616, 311, 19131, 855, 25854, 7361, 374, 553, 1667, 6961, 6171, 1075, 5383, 10010, 13, 15044, 646, 387, 4588, 311, 2432, 11, 3378, 11, 48129, 5383, 10010, 13, 5542, 279, 14175, 320, 14339, 10010, 8, 825, 646, 3271, 311, 12579, 323, 28273, 5335, 13, 15044, 646, 1431, 387, 11523, 311, 2155, 32676, 13, 1527, 15010, 1948, 279, 1372, 323, 279, 12194, 3880, 311, 387, 14122, 13, 1096, 15010, 686, 1492, 279, 2841, 311, 3535, 279, 4053, 23709, 476, 2613, 2090, 315, 264, 1372, 13, 34006, 31918, 5109, 304, 1181, 8115, 1352, 13, 431, 1272, 16035, 2022, 315, 5109, 2041, 9124, 4849, 1181, 25621, 2765, 1405, 1936, 264, 1661, 1372, 5530, 382, 565, 2585, 311, 20185, 1064, 5109, 1667, 31532, 1939, 1986, 2766, 14758, 1246, 5109, 646, 387, 73045, 11523, 13, 12090, 315, 926, 665, 16035, 4849, 1105, 1588, 374, 458, 7040, 1616, 311, 3535, 5109, 13, 12091, 31532, 686, 19681, 279, 1372, 5530, 382, 565, 3719, 40894, 271, 8420, 525, 264, 2421, 7746, 429, 686, 1896, 498, 1526, 279, 11618, 429, 1449, 26462, 336, 587, 5458, 4102, 1241, 529, 2050, 304, 279, 32336, 315, 8660, 4968, 12, 2833, 4149, 3156, 448, 6588, 67525, 25 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12353, 25, 14168, 283, 39976, 271, 6667, 7704, 362, 9814, 28338, 311, 86639, 33909, 369, 12960, 4102, 47467, 271, 88464, 422, 17994, 525, 45841, 304, 1657, 5043, 11, 31025, 11, 6366, 8038, 11, 5591, 3081, 11, 81113, 323, 27889, 13, 758, 419, 5010, 582, 525, 2087, 311, 1490, 2155, 18927, 7982, 369, 12960, 20909, 323, 862, 5888, 13, 7281, 11, 582, 686, 4263, 1376, 28464, 3501, 369, 279, 4285, 4119, 382, 9112, 11, 678, 279, 10219, 304, 419, 5010, 374, 3118, 389, 279, 24335, 429, 678, 821, 3501, 525, 9489, 323, 3524, 2673, 4237, 382, 47249, 4102, 87440, 7982, 4102, 1958, 12960, 20909, 374, 264, 28464, 1714, 429, 16555, 678, 279, 3204, 2750, 323, 28636, 82, 429, 264, 4194, 3890, 646, 1896, 2878, 264, 2661, 9873, 1987, 23240, 6099, 279, 4265, 315, 18774, 458, 8311, 7982, 35616, 311, 279, 3491, 315, 1614, 6589, 382, 77129, 4093, 9353, 86639, 422, 17994, 271, 2132, 374, 7982, 315, 678, 3204, 2750, 315, 264, 43179, 4194, 3890, 3786, 448, 458, 27039, 315, 862, 48216, 382, 8373, 10295, 315, 1632, 3881, 43179, 18927, 7982, 369, 12960, 20909, 525, 1447, 6667, 14168, 283, 39976, 42685, 624, 6667, 13808, 48263, 7982, 624, 6667, 47889, 7982, 624, 6667, 22162, 258, 20855, 42685, 624, 77129, 14168, 283, 39976, 33909, 271, 59926, 283, 39976, 33909, 374, 13570, 990, 369, 7982, 315, 69536, 19554, 13, 34355, 4815, 71710, 30549, 374, 1850, 3110, 315, 14168, 283, 39976, 7982, 382, 10061, 748, 2908, 498, 614, 25187, 264, 16254, 3369, 66, 527, 1154, 272, 48335, 314, 15, 11, 220, 16, 7810, 1741, 429, 272, 284, 220, 16, 14064, 14629, 323, 272, 284, 220, 15, 14064, 63514, 382, 10061, 279, 18927, 315, 1968, 374, 3371, 9253, 553, 3369, 43123, 527, 1154, 20805, 429, 1447, 47, 2075, 28, 16, 760, 32883, 8, 284, 32883, 2587, 220, 15, 284, 27, 32883, 284, 27, 220, 16, 271, 4416, 11, 393, 2075, 28, 15, 760, 32883, 8, 284, 220, 16, 1365, 32883, 271, 785, 18927, 7982, 369, 64661, 264, 16254, 374, 8916, 646, 387, 5326, 438, 1447, 59926, 320, 66, 760, 32883, 8, 284, 32883, 66, 320, 16, 481, 43123, 8, 16, 1786, 271, 1986, 374, 3881, 438, 14168, 283, 39976, 33909, 13, 5542, 419, 23606, 582, 646, 6707, 1053, 429, 419, 7982, 374, 21694, 13, 4695, 11, 22477, 582, 614, 264, 821, 738, 1599, 284, 314, 66, 16, 11, 272, 17, 11, 272, 18, 11, 20428, 14271, 92, 315, 13166, 897, 315, 272, 13, 2055, 11, 369, 419, 582, 646, 9245, 7192, 28636, 729, 11, 892, 374, 729, 315, 32883, 13, 15132, 429, 393, 7, 1599, 760, 32883, 8, 374, 2661, 438, 1447, 47, 7644, 760, 32883, 8, 284, 11995, 237, 393, 1337, 760, 32883, 8, 284, 11995, 237, 32883, 66, 320, 16, 481, 43123, 8, 16, 1786, 271, 2870, 26, 272, 284, 314, 66, 16, 11, 272, 17, 11, 14053, 13, 14271, 630, 7039, 11, 582, 646, 16045, 264, 897, 369, 32883, 553, 87178, 279, 89936, 76, 315, 279, 28636, 323, 432, 374, 2661, 438, 1447, 2261, 47, 7644, 760, 32883, 8, 284, 7851, 96, 47, 92456, 760, 32883, 8, 284, 7851, 96, 90, 14271, 29390, 32883, 488, 320, 16, 488, 13665, 8, 29390, 7, 16, 1365, 32883, 73822, 7039, 421, 498, 6099, 11, 419, 374, 264, 1852, 23606, 582, 614, 1483, 304, 71710, 30549, 369, 279, 1465, 21937, 382, 77129, 13808, 48263, 33909, 271, 32, 13808, 48263, 7982, 374, 264, 6629, 315, 1246, 1657, 3039, 458, 1538, 374, 4363, 311, 12170, 2878, 2661, 4168, 315, 882, 382, 2132, 748, 2256, 25163, 1576, 432, 748, 5020, 4285, 311, 990, 323, 374, 8415, 369, 19608, 315, 2513, 11, 1052, 525, 264, 2696, 315, 7040, 11364, 429, 43690, 1495, 311, 1036, 12389, 429, 3537, 304, 882, 476, 3550, 1987, 2055, 11, 279, 18927, 369, 2790, 3369, 36, 527, 4357, 304, 3369, 55, 527, 4168, 315, 882, 374, 2661, 438, 1447, 47, 10722, 4357, 304, 1599, 4168, 315, 882, 8, 284, 384, 65667, 468, 608, 350, 873, 353, 1599, 8, 4102, 353, 314, 320, 36, 608, 350, 8, 353, 1599, 8, 74, 92, 608, 730, 2219, 10061, 48338, 284, 320, 36, 608, 350, 8, 353, 1599, 692, 12209, 11, 393, 10722, 4357, 304, 1599, 4168, 315, 882, 8, 284, 384, 33486, 4102, 353, 314, 33486, 92, 74, 14, 730, 2219, 9064, 350, 374, 882, 369, 1817, 1538, 11, 1599, 374, 2790, 882, 9873, 323, 48338, 374, 264, 4379, 5733, 892, 374, 279, 3601, 1372, 315, 4357, 304, 279, 9873, 11, 600, 1734, 13, 320, 36, 608, 350, 8, 353, 1599, 3593, 77129, 68967, 86639, 422, 17994, 271, 2132, 374, 7982, 315, 678, 3204, 2750, 315, 264, 19259, 4194, 3890, 3786, 448, 458, 27039, 315, 862, 48216, 382, 8373, 10295, 315, 1632, 21309, 19259, 18927, 7982, 369, 12960, 20909, 525, 1447, 6667, 18437, 476, 48568, 7982, 624, 6667, 7420, 30312, 7982, 624, 6667, 74185, 983, 7982, 624, 77129, 48568, 33909, 271, 785, 48568, 11, 1083, 3881, 438, 4622, 7982, 11, 374, 264, 13570, 1483, 1614, 369, 279, 7982, 315, 19259, 7332, 13, 3197, 498, 975, 389, 3460, 821, 432, 374, 13166, 429, 1429, 315, 279, 821, 374, 12128, 311, 3076, 323, 279, 1602, 2686, 20757, 821, 374, 13166, 6974, 279, 68871, 11, 892, 374, 4302, 714, 264, 63447, 7982, 11, 323, 419, 374, 1128, 8622, 3930, 57817, 10742, 601, 13, 758, 279, 1142, 315, 264, 3175, 3890, 3369, 87, 19609, 63447, 7982, 374, 2661, 438, 1447, 9064, 32883, 374, 279, 3076, 323, 47723, 29456, 374, 279, 32273, 382, 2461, 279, 3175, 1931, 3890, 11, 279, 7982, 429, 30027, 4756, 279, 47502, 374, 279, 48568, 13, 7281, 11, 279, 48568, 33909, 47182, 374, 979, 582, 2908, 279, 2629, 315, 5248, 4194, 7332, 13, 2379, 1231, 1483, 311, 1477, 2477, 61299, 30549, 438, 1632, 438, 311, 7949, 12871, 2719, 553, 24588, 892, 15336, 315, 264, 10337, 614, 8131, 4102, 947, 5284, 382, 80555, 315, 24844, 304, 6993, 11017, 279, 48568, 33909, 13, 8909, 11, 5633, 2608, 11, 4680, 11, 6543, 7262, 4992, 13, 31040, 432, 374, 264, 13570, 1483, 7982, 323, 6930, 315, 1657, 821, 13923, 13, 81436, 40, 3900, 419, 4549, 8910, 498, 304, 697, 821, 8038, 11618, 13, 14804, 432, 92466, 30, 1416, 498, 614, 894, 38917, 323, 1366, 311, 1490, 803, 9709, 389, 42685, 11, 4486, 653, 3270, 304, 279, 3980, 3772, 382, 77129, 33891, 553, 1365, 198, 50, 277, 524, 3874, 34301, 3101, 71, 271, 7339, 1365, 54528, 323, 24879, 569, 11346, 480, 32056, 905, 4102, 91, 4102, 34791, 28383, 569, 1402, 5865, 6412 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 730, 2186, 36028, 271, 565, 730, 2186, 36028, 25, 362, 46554, 13474, 369, 61242, 7766, 6992, 23550, 271, 4498, 3238, 448, 6992, 5746, 304, 7377, 30491, 11, 15491, 7766, 23393, 646, 387, 264, 65738, 323, 882, 69740, 3383, 13, 1096, 374, 1380, 264, 730, 2186, 29952, 4041, 304, 25163, 13, 362, 730, 39215, 7443, 2415, 11, 476, 730, 2186, 369, 2805, 11, 374, 264, 53143, 1714, 1483, 311, 39721, 6992, 46876, 23393, 13, 3216, 1667, 264, 730, 2186, 29952, 11, 498, 646, 6707, 7949, 6351, 6992, 5746, 311, 862, 44548, 1352, 11, 3259, 16224, 29729, 323, 6358, 803, 11050, 323, 1465, 12577, 382, 565, 2585, 12553, 264, 730, 2186, 36028, 5547, 1939, 32, 730, 2186, 29952, 4990, 438, 1946, 279, 8046, 1965, 315, 264, 6992, 729, 323, 11450, 264, 730, 39215, 7443, 2415, 13042, 315, 279, 729, 13, 576, 730, 2186, 374, 1221, 1483, 311, 10542, 12624, 323, 1874, 819, 315, 6174, 304, 279, 8046, 1965, 11, 892, 646, 387, 1483, 311, 39721, 279, 729, 13, 576, 29952, 16790, 279, 5601, 315, 6992, 46876, 311, 15963, 23942, 6174, 304, 279, 2415, 11, 12942, 304, 264, 43799, 7493, 429, 374, 13578, 311, 279, 4024, 729, 382, 13394, 4248, 1096, 4102, 1800, 3340, 36028, 271, 565, 38095, 315, 12091, 264, 730, 2186, 36028, 271, 3862, 525, 3807, 22146, 311, 1667, 264, 730, 2186, 29952, 979, 3238, 448, 6992, 5746, 1447, 6667, 66567, 25, 61242, 7766, 6992, 23393, 20083, 646, 387, 882, 69740, 323, 36997, 311, 5975, 13, 362, 730, 2186, 29952, 5006, 973, 279, 15491, 2404, 1882, 11, 13997, 882, 323, 17719, 279, 5214, 315, 20643, 624, 6667, 50175, 25, 3216, 18950, 279, 5601, 315, 6992, 46876, 59726, 11, 264, 730, 2186, 29952, 25351, 429, 279, 43799, 7493, 374, 13578, 311, 279, 4024, 729, 624, 6667, 20185, 13042, 25, 730, 17640, 3410, 264, 9124, 13042, 315, 279, 6992, 729, 11, 3259, 432, 8661, 311, 10542, 12624, 323, 1874, 819, 369, 15491, 2404, 624, 6667, 94021, 315, 990, 25, 730, 2186, 5812, 2973, 525, 1196, 21896, 323, 1373, 17377, 1946, 504, 279, 1196, 11, 3259, 1105, 15614, 311, 46850, 323, 11647, 25992, 624, 13394, 4248, 1096, 4102, 42876, 36028, 271, 565, 2585, 311, 5443, 264, 730, 2186, 36028, 271, 16429, 264, 730, 2186, 29952, 374, 264, 30339, 1882, 429, 17601, 279, 2701, 7354, 1447, 16, 13, 11252, 279, 8046, 1965, 315, 279, 6992, 729, 1119, 279, 29952, 624, 17, 13, 19813, 279, 730, 39215, 7443, 2415, 13042, 315, 279, 729, 624, 18, 13, 64547, 12624, 323, 1874, 819, 315, 6174, 304, 279, 2415, 624, 19, 13, 46812, 23942, 6174, 311, 39721, 279, 7493, 624, 20, 13, 25429, 279, 43799, 7493, 448, 279, 4024, 729, 311, 5978, 57323, 382, 565, 31525, 315, 730, 2186, 31359, 2973, 271, 42, 2186, 5812, 2973, 525, 16626, 1483, 304, 7377, 30491, 323, 6366, 8038, 369, 15491, 7766, 6992, 5746, 304, 16224, 2884, 11, 12218, 34534, 11, 323, 15473, 13, 2379, 525, 1083, 33616, 304, 61766, 11, 2524, 5942, 11, 323, 8286, 8692, 369, 73042, 25185, 323, 17719, 54480, 23094, 382, 13394, 4248, 1096, 4102, 7093, 36237, 36028, 271, 565, 73877, 271, 641, 16688, 11, 264, 730, 2186, 29952, 374, 264, 15172, 5392, 369, 15491, 7766, 6992, 5746, 304, 7377, 30491, 13, 3216, 5006, 1095, 279, 15491, 2404, 1882, 323, 8241, 264, 9124, 13042, 315, 279, 729, 11, 730, 17640, 1281, 432, 8661, 311, 23643, 323, 2884, 45021, 29257, 13, 13139, 498, 525, 264, 5458, 6832, 6992, 46876, 476, 264, 6584, 3238, 304, 279, 2070, 315, 7377, 30491, 11, 264, 730, 2186, 29952, 646, 1492, 81603, 697, 975, 323, 7269, 15024, 13, 9735, 1667, 264, 730, 2186, 29952, 369, 697, 1790, 6992, 729, 15491, 2404, 3383, 323, 3139, 279, 7567, 369, 6133, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15, 271, 2, 3555, 374, 220, 17, 15, 15, 15, 15, 15, 15, 17779, 553, 220, 16, 15, 15, 15, 15, 15, 15, 1939, 16196, 25, 220, 19, 14, 17, 23, 14, 17, 15, 17, 17, 271, 53896, 2657, 271, 16, 17, 88, 4134, 271, 17, 271, 44, 5059, 9774, 288, 1579, 271, 43, 14536, 220, 16, 15, 198, 18, 88, 4134, 271, 53896, 2657, 271, 16, 17, 88, 4134, 271, 17, 15, 15, 15, 15, 15, 15, 14, 16, 15, 15, 15, 15, 15, 15, 284, 220, 17, 271, 95259, 488, 17, 15, 29993, 198, 48, 25, 3555, 374, 220, 17, 15, 15, 15, 15, 15, 15, 17779, 553, 220, 16, 15, 15, 15, 15, 15, 15, 5267, 8890, 198, 23322, 614, 4755, 5267, 11686, 4755, 271, 14374, 3555, 374, 220, 16, 15, 15, 15, 15, 15, 15, 5519, 220, 17, 15, 15, 15, 15, 15, 15, 1939, 16, 15, 15, 15, 15, 15, 15, 488, 220, 17, 15, 15, 15, 15, 15, 15, 284, 220, 18, 11, 15, 15, 15, 11, 15, 15, 15, 271, 17, 15, 15, 15, 15, 15, 15, 271, 14374, 3555, 374, 220, 17, 3266, 304, 220, 16, 15, 15, 15, 15, 15, 15, 1939, 17, 3266, 315, 220, 17, 15, 15, 15, 15, 15, 15, 284, 220, 19, 15, 15, 15, 15, 220, 17, 4, 315, 220, 17, 15, 15, 15, 15, 15, 15, 284, 220, 17, 4, 353, 220, 17, 15, 15, 15, 15, 15, 15, 284, 220, 17, 53381, 16, 15, 15, 4, 353, 220, 17, 15, 15, 15, 15, 15, 15, 284, 220, 15, 13, 15, 17, 353, 220, 17, 15, 15, 15, 15, 15, 15, 284, 220, 19, 15, 15, 15, 15, 271, 14374, 2585, 1657, 84302, 525, 1052, 304, 1378, 3526, 2544, 83109, 1939, 3862, 525, 220, 16, 15, 15, 15, 15, 15, 15, 2544, 83109, 304, 825, 15045, 12958, 13, 15277, 11, 220, 17, 15, 15, 15, 15, 15, 15, 2544, 83109, 374, 6144, 311, 220, 17, 15, 15, 15, 15, 15, 15, 14, 16, 15, 15, 15, 15, 15, 15, 284, 220, 17, 84302, 382, 16, 14, 17, 271, 23, 15, 15, 15, 15, 271, 17, 15, 15, 15, 15, 271, 14374, 3555, 374, 856, 17779, 553, 220, 17, 15, 15, 15, 15, 15, 15, 421, 856, 16819, 220, 15, 15, 15, 15, 17, 1939, 15, 15, 15, 15, 17, 14, 17, 15, 15, 15, 15, 15, 15, 284, 220, 17, 14, 17, 15, 15, 15, 15, 15, 15, 284, 220, 15, 13, 15, 15, 15, 15, 15, 16, 271, 16, 19, 15, 22, 17, 13, 21, 16, 19, 22, 271, 14374, 220, 17, 40568, 525, 311, 1246, 1657, 7473, 54236, 1939, 16, 43887, 265, 284, 220, 16, 15, 15, 15, 15, 15, 15, 2544, 85266, 416, 773, 220, 17, 13136, 284, 220, 17, 9, 16, 15, 15, 15, 15, 15, 15, 284, 220, 17, 15, 15, 15, 15, 15, 15, 2544, 85266, 416, 13, 8993, 2219, 14374, 2585, 1657, 8003, 50770, 525, 304, 220, 17, 33319, 1939, 3862, 525, 220, 16, 15, 15, 15, 15, 15, 15, 8003, 50770, 304, 825, 23018, 13, 15277, 11, 220, 17, 33319, 374, 6144, 311, 220, 17, 856, 220, 16, 15, 15, 15, 15, 15, 15, 284, 220, 17, 15, 15, 15, 15, 15, 15, 8003, 50770, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 72610, 320, 33435, 983, 375, 692, 16196, 389, 198, 4036, 198, 12949, 198, 10677, 271, 641, 17047, 11, 279, 17457, 315, 264, 9861, 983, 375, 10868, 279, 1372, 315, 9956, 819, 315, 264, 9861, 983, 375, 11, 7945, 264, 13794, 476, 5792, 9861, 983, 375, 11, 2163, 1181, 4126, 13, 1084, 646, 387, 42295, 10838, 553, 25009, 279, 8028, 1372, 315, 44507, 476, 3579, 86099, 315, 264, 18299, 504, 279, 4126, 311, 54910, 13, 576, 17457, 374, 6783, 3941, 894, 19259, 14791, 5537, 315, 264, 9861, 983, 375, 429, 49435, 902, 61714, 13, 1752, 264, 2477, 41476, 44894, 9687, 287, 320, 580, 93683, 8, 9861, 983, 375, 11, 279, 17457, 374, 4102, 16, 382, 565, 35862, 271, 51, 433, 613, 804, 448, 49817, 12300, 646, 29193, 6979, 17457, 438, 279, 1372, 315, 3421, 819, 315, 12300, 916, 894, 2661, 1459, 382, 565, 18767, 43874, 271, 785, 17457, 315, 264, 6774, 29372, 374, 279, 1372, 315, 3039, 429, 279, 29372, 278, 18732, 28492, 2163, 1181, 4126, 26, 432, 374, 279, 53726, 1372, 315, 279, 18732, 2163, 279, 8622, 1459, 382, 2461, 264, 5792, 6774, 29372, 314, 79, 33894, 2137, 279, 17457, 374, 4102, 80, 382, 2132, 646, 387, 42295, 10838, 553, 25009, 279, 8028, 1372, 315, 6821, 86099, 315, 264, 18299, 504, 279, 4126, 311, 54910, 382, 565, 18767, 41009, 956, 271, 59662, 52783, 3179, 1483, 17457, 438, 264, 1616, 311, 5602, 80018, 594, 9861, 41009, 2248, 14806, 320, 4491, 488, 434, 284, 220, 17, 8, 311, 975, 369, 279, 5792, 6774, 9861, 41009, 956, 11, 1380, 32776, 374, 279, 17457, 315, 264, 11936, 7071, 11, 6764, 315, 264, 3579, 323, 422, 315, 279, 9861, 41009, 2248, 438, 264, 4361, 1447, 37261, 60888, 488, 6764, 434, 284, 220, 17, 35, 271, 2461, 3110, 11, 279, 2244, 220, 16627, 1466, 291, 2248, 11, 314, 18, 11, 4102, 20, 14, 17, 2137, 702, 220, 17, 15, 65494, 12300, 320, 2940, 4102, 28, 4102, 16, 701, 220, 18, 15, 12822, 323, 220, 16, 17, 20189, 5745, 21220, 11936, 12396, 320, 37261, 4102, 28, 4102, 17, 701, 7086, 271, 17, 13935, 16, 17, 24196, 220, 18, 15, 488, 220, 16, 13935, 17, 15, 284, 220, 16, 19, 284, 220, 17, 35, 382, 1986, 23945, 264, 17457, 315, 220, 22, 13, 576, 650, 27162, 80018, 594, 9861, 41009, 2248, 14806, 14525, 369, 279, 2613, 357, 613, 657, 294, 534, 924, 41009, 2248, 314, 20, 14, 17, 11, 4102, 20, 92, 323, 1181, 18579, 2244, 294, 534, 924, 41009, 2248, 314, 20, 11, 4102, 20, 14, 17, 2137, 369, 892, 60888, 488, 434, 284, 24196, 21, 382, 785, 5792, 6774, 9861, 41009, 956, 3000, 304, 1378, 18579, 13530, 11, 448, 1817, 7071, 3432, 279, 1852, 17457, 438, 1181, 18579, 25, 825, 6716, 320, 9004, 357, 613, 657, 294, 534, 924, 41009, 2248, 2293, 46891, 294, 534, 924, 41009, 2248, 8, 702, 264, 17457, 315, 220, 18, 11, 1393, 279, 1008, 320, 46891, 357, 613, 657, 294, 534, 924, 41009, 2248, 4142, 46891, 220, 16627, 1466, 291, 2248, 8, 702, 264, 17457, 315, 220, 22, 382, 39, 433, 4623, 4586, 4056, 279, 14806, 369, 6774, 9861, 41009, 956, 448, 2155, 12829, 315, 3579, 11, 1045, 315, 892, 1231, 11555, 28412, 916, 3800, 13, 576, 12942, 897, 369, 17457, 33210, 311, 279, 1372, 315, 3039, 279, 5815, 64151, 9861, 41009, 2248, 14521, 279, 25366, 382, 1986, 5420, 38660, 1404, 1842, 452, 13, 311, 8253, 279, 89716, 315, 279, 8686, 315, 279, 13794, 9861, 41009, 956, 382, 2461, 17280, 573, 5730, 41009, 956, 11, 1045, 315, 6693, 12300, 1494, 1526, 279, 4126, 11, 279, 17457, 4157, 387, 4512, 13, 11581, 12, 14881, 480, 9861, 41009, 956, 1083, 653, 537, 614, 1632, 38717, 89716, 382, 565, 3651, 5641, 6215, 271, 3862, 525, 220, 16, 15, 5792, 6774, 1471, 5641, 6215, 476, 220, 19, 2268, 5730, 3481, 288, 320, 43882, 279, 5016, 43183, 69, 742, 4142, 39, 433, 1471, 5641, 6215, 701, 892, 614, 89716, 1948, 220, 19, 11, 220, 21, 11, 220, 17, 15, 11, 220, 21, 21, 11, 220, 22, 21, 11, 323, 220, 16, 24, 16, 13, 2379, 2525, 304, 18579, 13530, 11, 448, 279, 4683, 315, 279, 656, 1737, 928, 17457, 12, 21, 323, 17457, 12, 21, 21, 12396, 382, 565, 44078, 271, 66719, 320, 33435, 983, 375, 8, 26587 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4781, 220, 4102, 8994, 271, 2, 60938, 5942, 11, 8670, 1011, 7506, 11, 323, 10922, 12, 5626, 88888, 271, 18053, 220, 16, 11, 220, 17, 15, 16, 18, 271, 94343, 5942, 25, 2516, 1862, 705, 311, 911, 220, 21, 15, 7541, 304, 3084, 8789, 614, 264, 220, 16, 17, 65389, 10922, 19734, 1849, 13, 1096, 374, 13771, 4152, 311, 279, 2097, 429, 1657, 9666, 315, 708, 1095, 19734, 14448, 525, 3118, 389, 39408, 14, 484, 46379, 19734, 7611, 323, 773, 432, 374, 23048, 311, 990, 1493, 3072, 8947, 3589, 13, 80808, 31631, 8376, 311, 614, 220, 17, 19, 19625, 6181, 10922, 19734, 5942, 369, 279, 1852, 2874, 315, 10282, 7049, 1495, 323, 7703, 18986, 13, 1096, 1231, 5112, 264, 2699, 30615, 11, 714, 1283, 582, 17240, 705, 389, 8670, 1011, 7506, 419, 75695, 51213, 686, 3635, 2797, 382, 11908, 1011, 7506, 12506, 448, 279, 5025, 315, 60938, 320, 36, 701, 9125, 320, 40, 701, 39880, 320, 49, 8, 323, 7420, 320, 47, 8, 315, 458, 19734, 16224, 323, 421, 582, 1414, 894, 1378, 32676, 582, 646, 19633, 1105, 1119, 279, 14806, 323, 2525, 705, 448, 279, 4843, 13, 576, 5257, 7586, 315, 8670, 1011, 7506, 1795, 25, 468, 28, 2801, 11, 358, 85234, 19382, 11, 431, 85234, 38151, 323, 393, 28, 5371, 11, 358, 76778, 25646, 11, 468, 76778, 38151, 382, 2461, 1039, 9895, 279, 1429, 2989, 14806, 374, 279, 825, 14550, 448, 1482, 320, 40, 8, 1576, 432, 686, 8253, 1128, 1379, 9067, 582, 1184, 311, 14476, 21000, 13, 24742, 429, 1482, 304, 279, 7420, 14806, 358, 76778, 25646, 374, 264, 729, 315, 279, 2355, 304, 71022, 17779, 553, 279, 1849, 21720, 11, 773, 421, 582, 1990, 279, 21720, 1039, 1482, 686, 387, 3931, 304, 4279, 13, 8704, 19734, 9067, 30890, 374, 10838, 553, 1181, 1482, 15331, 8654, 11, 7703, 21720, 6147, 601, 311, 18472, 279, 1379, 315, 19734, 272, 18768, 323, 3581, 3220, 382, 13314, 671, 16, 25, 393, 28, 17, 19, 15, 58236, 11, 468, 28, 16, 17, 647, 5626, 773, 4102, 40, 28, 17, 19, 15, 14, 16, 17, 892, 16819, 220, 17, 15, 79962, 1482, 11, 714, 421, 582, 728, 311, 264, 220, 17, 19, 8273, 6181, 1849, 1221, 432, 4278, 700, 438, 304, 13383, 671, 17, 25, 4102, 393, 28, 17, 19, 15, 58236, 11, 468, 28, 17, 19, 647, 5626, 773, 358, 28, 17, 19, 15, 14, 17, 19, 892, 16819, 220, 16, 15, 53687, 82, 1482, 13, 8704, 264, 5021, 15328, 686, 1184, 5021, 14652, 28316, 432, 374, 93889, 2989, 311, 2506, 279, 14652, 30890, 311, 264, 6092, 8028, 476, 279, 7049, 686, 74622, 323, 429, 374, 279, 2409, 9423, 315, 1667, 264, 220, 17, 19, 19625, 5626, 1849, 19041, 220, 16, 17, 647, 5626, 382, 3983, 1128, 421, 697, 15328, 702, 264, 220, 17, 19, 19625, 5626, 19734, 1849, 323, 498, 1184, 311, 4582, 264, 501, 14346, 3671, 429, 374, 5798, 369, 220, 16, 17, 647, 5626, 30, 13759, 279, 1482, 374, 279, 3491, 1576, 358, 85234, 19382, 323, 2661, 279, 1852, 13643, 421, 498, 15239, 1119, 220, 17, 19, 647, 5626, 448, 264, 3671, 6188, 369, 220, 16, 17, 647, 5626, 1221, 498, 686, 1990, 279, 1482, 323, 1429, 4363, 16205, 697, 30491, 13, 1096, 6534, 646, 387, 19673, 304, 825, 315, 2326, 5510, 25, 220, 16, 8, 1667, 264, 3671, 429, 374, 21628, 369, 220, 16, 15, 311, 220, 18, 20, 647, 5626, 11, 220, 17, 8, 52628, 1007, 220, 16, 17, 86067, 504, 264, 220, 17, 19, 16393, 1849, 11, 476, 220, 18, 8, 553, 1667, 264, 220, 17, 19, 65389, 311, 220, 16, 17, 65389, 10922, 12, 5626, 27058, 382, 785, 44548, 6291, 374, 311, 1779, 279, 821, 11968, 389, 697, 501, 14346, 3671, 323, 3900, 429, 432, 374, 21628, 369, 220, 16, 15, 12, 18, 20, 647, 5626, 304, 892, 1142, 498, 1410, 1101, 4564, 432, 1119, 697, 220, 17, 19, 65389, 1849, 13, 1416, 419, 374, 537, 279, 1142, 1221, 498, 646, 15239, 1007, 220, 16, 17, 86067, 504, 279, 6149, 315, 279, 220, 17, 19, 8273, 6181, 5611, 11, 714, 358, 4190, 429, 419, 1172, 387, 2814, 389, 458, 12851, 8037, 369, 279, 2701, 7966, 13, 350, 3629, 686, 5240, 79053, 22641, 315, 279, 26264, 11, 916, 62359, 825, 323, 1212, 62359, 279, 1008, 892, 11508, 311, 65563, 11602, 2272, 13, 7281, 11, 498, 1184, 311, 990, 279, 6169, 1379, 18827, 323, 31702, 476, 16224, 66767, 432, 311, 6016, 279, 18827, 504, 71289, 1095, 2337, 264, 2805, 11, 4992, 13, 1416, 498, 2058, 1366, 311, 15239, 1007, 279, 220, 17, 19, 8273, 6181, 5611, 11, 1221, 9704, 279, 6785, 60756, 311, 1380, 279, 1378, 26264, 525, 8433, 3786, 17973, 311, 481, 8, 323, 4564, 279, 4910, 2990, 311, 279, 2550, 3691, 2990, 13, 13759, 419, 1714, 374, 537, 11102, 382, 785, 53667, 6291, 311, 1039, 3491, 374, 311, 79679, 323, 4582, 264, 3671, 3881, 438, 264, 220, 17, 19, 65389, 311, 220, 16, 17, 65389, 10922, 27058, 13, 4220, 7611, 525, 21628, 369, 16162, 2550, 323, 19259, 2550, 1482, 13, 4599, 1281, 2704, 429, 279, 19259, 2550, 10728, 9071, 697, 6783, 2795, 8502, 13, 758, 1973, 311, 3931, 1495, 389, 894, 4650, 22060, 31217, 504, 264, 10922, 12, 5626, 27058, 1281, 2704, 311, 3695, 825, 429, 374, 10007, 438, 37576, 1036, 1957, 425, 854, 892, 1265, 2506, 31217, 311, 264, 8028, 13, 362, 12313, 3349, 369, 1493, 4429, 504, 279, 5535, 4312, 22963, 16403, 374, 32882, 22, 24, 13, 24, 24, 369, 279, 220, 21, 53687, 1614, 11, 32882, 16, 16, 24, 13, 24, 24, 369, 279, 220, 16, 17, 53687, 1614, 11, 323, 32882, 220, 24, 21, 24, 13, 24, 24, 369, 279, 220, 20, 15, 53687, 1614, 13, 1634, 498, 646, 1490, 279, 3349, 34227, 32352, 11649, 389, 279, 19259, 2550, 1482, 10728, 382, 2679, 697, 15328, 702, 264, 451, 90367, 220, 17, 15, 15, 15, 3922, 432, 1231, 387, 438, 4135, 438, 52628, 1119, 279, 220, 16, 17, 65389, 37311, 1555, 1667, 264, 35076, 323, 4303, 264, 5943, 14652, 311, 697, 220, 16, 17, 8273, 6181, 3671, 13, 7496, 25546, 28591, 30491, 614, 17136, 369, 9704, 287, 1119, 458, 451, 90367, 3922, 773, 432, 1265, 387, 458, 4135, 13713, 13, 1446, 646, 3695, 451, 90367, 220, 17, 15, 15, 15, 36072, 323, 22293, 504, 4312, 22963, 323, 807, 1496, 614, 264, 451, 90367, 220, 17, 15, 15, 15, 26697, 16138, 369, 1172, 32882, 23, 22, 13, 24, 24, 13, 8325, 11, 12357, 68838, 11, 3322, 369, 806, 882, 11, 773, 3080, 582, 3061, 1549, 25, 1036, 14008, 4818, 550, 323, 22713, 92396, 24727, 4036, 13711, 271, 18284, 311, 501, 760, 1532, 311, 2310, 198, 18053, 220, 17, 11, 220, 17, 15, 16, 18, 220, 15, 17, 25, 20, 23, 8836, 198, 17372, 553, 4102, 43212, 271, 63716, 4549, 11, 9702, 498, 369, 4378, 432, 0, 358, 3003, 2677, 6099, 8670, 76, 594, 7506, 438, 467, 320, 86, 20983, 8, 284, 647, 320, 12536, 2576, 8, 856, 362, 320, 14647, 4292, 5050, 29471, 4938, 9704, 369, 419, 374, 5004, 28, 53, 17366, 596, 856, 7582, 54581, 382, 18053, 220, 17, 11, 220, 17, 15, 16, 18, 220, 15, 18, 25, 19, 20, 8836, 198, 17372, 553, 4102, 9354, 271, 12658, 11, 43212, 13, 70670, 4938, 9704, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24552, 4463, 22221, 609, 54638, 12, 37314, 25, 19709, 609, 13383, 271, 14803, 1447, 565, 3555, 374, 24552, 4463, 22221, 1939, 37314, 25588, 10953, 279, 8170, 315, 264, 5025, 1948, 1378, 7332, 11, 1393, 25902, 369, 279, 2456, 315, 825, 476, 803, 1008, 7332, 13, 1752, 3110, 11, 498, 2578, 1366, 311, 1490, 421, 1052, 374, 264, 25588, 1948, 3311, 315, 3607, 34561, 323, 6543, 7262, 11, 1393, 25902, 369, 4680, 476, 3311, 315, 10158, 13, 1084, 748, 3204, 311, 2524, 369, 5248, 7332, 320, 43882, 2524, 7332, 476, 21836, 2780, 973, 568, 4354, 11, 803, 1091, 825, 476, 1378, 374, 5990, 537, 11102, 1576, 279, 803, 2524, 7332, 11, 279, 2686, 14720, 697, 1273, 382, 37314, 25588, 702, 825, 19259, 9489, 3890, 320, 1782, 856, 19083, 8, 323, 825, 19259, 17749, 3890, 320, 1782, 379, 19083, 1215, 1096, 374, 279, 1852, 438, 304, 5792, 25588, 6358, 13, 758, 279, 6543, 7262, 3110, 3403, 11, 279, 9489, 3890, 374, 1036, 6045, 315, 3607, 34561, 854, 323, 279, 17749, 3890, 374, 1036, 50005, 7262, 11204, 576, 2524, 7332, 1959, 4680, 323, 3311, 315, 10158, 1959, 1265, 1083, 387, 19259, 382, 565, 2806, 367, 271, 32, 4168, 304, 279, 98250, 61749, 279, 48293, 7332, 323, 279, 14071, 369, 7332, 13, 1752, 3110, 11, 34883, 1095, 1620, 26359, 22881, 320, 55, 16, 8, 2348, 6543, 7262, 320, 55, 17, 701, 1393, 25902, 369, 4680, 320, 55, 18, 701, 374, 5326, 438, 510, 81, 16, 17, 13, 18, 198, 92014, 11, 264, 3619, 374, 1483, 4518, 315, 264, 4168, 323, 98250, 25, 435, 7, 16, 11, 17, 91, 18, 3593, 565, 28025, 279, 3393, 271, 785, 25588, 35606, 11, 435, 11, 374, 1083, 1483, 311, 1473, 279, 3059, 504, 7130, 25588, 13, 8909, 279, 5792, 25588, 35606, 11, 435, 37420, 4675, 264, 897, 504, 481, 16, 311, 220, 16, 382, 11212, 82, 9027, 264, 25588, 315, 481, 16, 11, 220, 15, 323, 488, 16, 271, 37314, 25588, 374, 5990, 11691, 700, 553, 4303, 5248, 30549, 6358, 13, 4329, 3162, 7468, 2924, 7130, 25588, 13, 1752, 3110, 11, 304, 9256, 1220, 5157, 37427, 2986, 861, 4463, 65334, 861, 24552, 382, 565, 2585, 311, 72077, 279, 5714, 271, 2679, 279, 7130, 25588, 11, 435, 16, 17, 13, 18, 11, 374, 9155, 1091, 279, 4285, 320, 19789, 38789, 8, 25588, 435, 16, 17, 11, 714, 7046, 1091, 220, 15, 11, 1221, 3890, 220, 18, 27037, 14758, 279, 25588, 1948, 1599, 323, 809, 382, 565, 54638, 12, 37314, 4463, 22221, 271, 50, 21780, 2268, 20894, 25588, 374, 4558, 279, 1852, 438, 7130, 13, 758, 2097, 11, 1657, 12014, 990, 279, 1378, 3793, 311, 3076, 279, 1852, 3166, 13, 4354, 11, 3800, 653, 1281, 279, 2701, 26447, 29196, 1447, 2354, 18267, 2268, 20894, 25588, 11, 279, 4843, 3890, 9982, 6783, 369, 2987, 1599, 476, 809, 714, 537, 2176, 26, 448, 7130, 11, 279, 4843, 3890, 9982, 6783, 369, 2176, 1599, 323, 809, 382, 2461, 3110, 11, 279, 18267, 7130, 25588, 42489, 646, 3291, 601, 279, 3953, 949, 315, 32273, 11, 429, 264, 3953, 9489, 3890, 14758, 13, 1084, 14758, 1246, 825, 3151, 9489, 3890, 21501, 279, 17749, 3890, 11, 1393, 1008, 7332, 525, 14071, 369, 311, 5358, 1105, 3709, 304, 279, 1616, 382, 1249, 1477, 432, 11, 11047, 279, 25588, 1948, 279, 17749, 3890, 323, 279, 32147, 315, 279, 19639, 315, 825, 9489, 3890, 553, 279, 3800, 382, 565, 13383, 271, 10048, 2900, 582, 990, 264, 738, 315, 821, 320, 1499, 264, 220, 17, 15, 15, 17, 5567, 504, 3680, 8579, 1842, 452, 6138, 892, 11469, 2326, 7332, 916, 4743, 2841, 13, 8886, 1682, 572, 12510, 369, 4938, 9390, 320, 56, 8, 323, 8806, 4379, 320, 55, 17, 701, 323, 862, 4231, 572, 1083, 10342, 13, 362, 25588, 42489, 572, 12685, 892, 55878, 809, 320, 17269, 9390, 8, 504, 1599, 16, 323, 1599, 17, 320, 424, 323, 8806, 4379, 3593, 94194, 11, 304, 264, 6534, 1380, 1599, 16, 323, 1599, 17, 1033, 9489, 4194, 7332, 11, 582, 6925, 1477, 700, 1246, 2989, 1817, 3890, 572, 553, 24231, 264, 52263, 35606, 315, 25588, 1948, 1599, 16, 323, 1599, 17, 323, 279, 17749, 3890, 809, 13, 1205, 1035, 1414, 429, 1493, 52263, 36829, 315, 25588, 1033, 6144, 311, 279, 9334, 5248, 35606, 315, 25588, 13, 1988, 304, 264, 1142, 1075, 11350, 11, 1599, 16, 323, 1599, 17, 525, 4113, 714, 9489, 13, 38741, 4379, 374, 7548, 17749, 389, 4231, 11, 323, 773, 1667, 279, 52263, 35606, 686, 1760, 279, 19026, 315, 1817, 3890, 3807, 3039, 916, 382, 565, 44078, 271, 16, 13, 3680, 8579, 11, 472, 5852, 13, 3660, 320, 50, 21780, 24552, 8, 323, 24552, 47470, 3539, 6445, 28142, 13, 57791, 504, 3703, 1110, 2136, 62448, 67, 15863, 12586, 53796, 1923, 586, 14, 5830, 8579, 12, 37314, 45200, 66704, 17, 15, 15, 22, 12, 32955, 15995, 389, 3217, 220, 23, 11, 220, 17, 15, 16, 23, 198, 17, 13, 3680, 8579, 11, 472, 2572, 42432, 2718, 11, 467, 3503, 2572, 4104, 43409, 11, 422, 2572, 3199, 63541, 11, 425, 2572, 609, 18876, 2838, 1268, 386, 13, 320, 17, 15, 15, 17, 568, 56608, 6982, 323, 3412, 5413, 13, 1230, 32866, 46813, 13, 45723, 25, 576, 3822, 315, 8257, 518, 18542, 11, 6687, 304, 356, 30656, 624, 18, 13, 3240, 1020, 865, 11, 386, 13, 24552, 323, 14248, 573, 20894, 4463, 22221, 13, 57791, 504, 1758, 1110, 85168, 520, 300, 21916, 69, 12586, 3183, 1323, 1020, 865, 86858, 11185, 14, 37314, 2564, 389, 3217, 220, 23, 11, 220, 17, 15, 16, 23, 198, 19, 13, 35116, 6595, 11, 619, 13, 320, 17, 15, 15, 22, 568, 8025, 29927, 13, 58542, 11668, 6747, 624, 20, 13, 24981, 3846, 31001, 11479, 13, 54638, 12, 37314, 320, 269, 3660, 8, 4463, 22221, 13, 57791, 504, 1758, 1110, 76303, 30087, 3510, 905, 14, 22595, 3846, 31001, 12689, 24662, 30, 2343, 37162, 9379, 658, 15792, 9379, 658, 11613, 11374, 11374, 21780, 37314, 269, 5800, 10580, 22221, 389, 3217, 220, 23, 11, 220, 17, 15, 16, 23, 198, 21, 13, 22629, 21719, 11, 356, 13, 320, 16, 24, 19, 24, 568, 362, 5512, 16615, 91002, 29927, 13, 356, 3124, 29702, 624, 22349, 26469, 23657, 1492, 448, 264, 28459, 476, 1273, 3405, 30, 3085, 8436, 14398, 19173, 11, 498, 646, 633, 3019, 14319, 29208, 9904, 311, 697, 4755, 504, 458, 6203, 304, 279, 2070, 13, 1416, 498, 4172, 4751, 633, 220, 16, 25, 16, 3920, 1492, 11, 8436, 14398, 350, 9475, 6081, 220, 18, 15, 4420, 315, 1910, 77043, 311, 501, 3847, 11, 773, 498, 646, 1430, 1105, 700, 1573, 39483, 311, 264, 15142, 382, 2679, 498, 10702, 458, 2860, 20753, 4573, 311, 3960, 431, 323, 13142, 11, 419, 1910, 431, 48007, 553, 2885, 25238, 374, 264, 2244, 1616, 311, 633, 3855, 13, 1416, 498, 2299, 525, 14400, 10655, 448, 431, 323, 525, 8014, 304, 2087, 19117, 1119, 24624, 11, 1430, 419, 24624, 448, 431, 3754, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2324, 4959, 43364, 12115, 198, 78988, 2, 68283, 1466, 45388, 773, 278, 5997, 64, 271, 17, 19, 16, 6194, 198, 16, 24, 16, 6194, 271, 28886, 389, 271, 15, 50914, 198, 38599, 198, 21667, 198, 6667, 8627, 3988, 198, 10677, 5780, 1588, 382, 11526, 498, 2704, 498, 1366, 311, 7414, 2308, 198, 6667, 2823, 279, 1156, 311, 3980, 271, 6667, 2823, 279, 1156, 311, 1075, 419, 271, 23217, 198, 7595, 6194, 198, 17, 19, 16, 198, 1925, 43364, 12115, 198, 15, 198, 3830, 37068, 82, 198, 15, 198, 2833, 315, 37068, 82, 198, 15, 198, 12948, 198, 73015, 198, 15, 198, 21, 198, 15, 198, 72047, 198, 15, 198, 25486, 82, 220, 15, 198, 2753, 11579, 82, 271, 2753, 8388, 369, 14983, 271, 14374, 68283, 1466, 45388, 773, 278, 5997, 64, 271, 16, 13, 220, 16, 13, 96734, 7064, 78230, 1093, 5627, 969, 55747, 220, 16, 13, 18078, 21320, 41623, 11496, 14, 18078, 21320, 22364, 562, 320, 26095, 5620, 39726, 21320, 8705, 64634, 320, 17602, 8, 13177, 10386, 608, 320, 13817, 8, 608, 320, 8121, 30548, 8, 730, 53311, 10990, 37527, 320, 26095, 8, 22962, 320, 13817, 8, 7355, 277, 328, 12540, 84, 320, 26095, 8, 272, 40247, 320, 6280, 30548, 8, 87385, 6569, 346, 4676, 276, 320, 17602, 8, 13136, 4437, 309, 320, 6280, 30548, 8, 87385, 8907, 266, 320, 26095, 8, 23018, 320, 6280, 30548, 8, 87385, 730, 18424, 33194, 38165, 549, 362, 220, 17, 13, 2885, 24200, 9015, 2257, 17837, 300, 14670, 324, 549, 647, 1310, 488, 293, 9696, 284, 220, 23, 20, 15739, 647, 3720, 284, 220, 21, 15, 15739, 647, 293, 9696, 284, 220, 17, 20, 15739, 730, 18424, 33194, 38165, 549, 356, 220, 18, 13, 2885, 24200, 9015, 2257, 40183, 17106, 259, 16551, 326, 18262, 549, 10016, 9696, 284, 220, 16, 17, 20, 23018, 17383, 223, 284, 220, 22, 11, 24, 342, 69198, 43201, 11397, 647, 284, 342, 69198, 43201, 22, 11, 24, 23018, 16, 17, 20, 284, 220, 16, 20, 11, 24, 20, 9961, 43201, 730, 18424, 33194, 38165, 284, 362, 220, 19, 13, 422, 2780, 9015, 2257, 549, 19851, 16806, 18840, 49995, 69379, 595, 672, 266, 27281, 26183, 1466, 2182, 355, 1853, 8641, 309, 69696, 31281, 11496, 913, 16739, 17191, 1466, 659, 8907, 67541, 549, 362, 13, 11397, 77324, 425, 13, 11397, 77324, 356, 13, 11397, 77324, 422, 13, 11397, 3318, 277, 730, 18424, 33194, 38165, 549, 422, 220, 20, 13, 481, 1298, 9275, 362, 1365, 425, 284, 1298, 9275, 730, 7157, 22222, 913, 16739, 481, 11995, 228, 83, 284, 220, 16, 15, 15, 30937, 481, 220, 21, 15, 30937, 284, 220, 19, 15, 30937, 481, 1207, 284, 296, 659, 272, 13, 11995, 228, 83, 284, 220, 17, 659, 220, 19, 17, 15, 15, 659, 220, 19, 15, 284, 220, 18, 18, 21, 13, 15, 15, 15, 26970, 273, 730, 18424, 33194, 38165, 549, 362, 647, 296, 284, 38079, 17383, 223, 296, 647, 4035, 17, 13, 220, 17, 13, 220, 21, 13, 2093, 2267, 17239, 585, 24893, 285, 17239, 585, 220, 16, 5588, 10098, 294, 12858, 75, 2969, 266, 220, 17, 5588, 10098, 294, 12858, 346, 4676, 220, 18, 5588, 10098, 294, 12858, 75, 2969, 266, 220, 19, 5588, 10098, 294, 12858, 75, 2969, 266, 220, 20, 5588, 10098, 294, 12858, 346, 4676, 730, 18424, 33194, 38165, 549, 422, 320, 16, 701, 320, 18, 8, 9101, 320, 20, 8, 220, 22, 13, 17383, 223, 284, 220, 16, 342, 69198, 43201, 284, 220, 16, 13, 15, 15, 15, 20972, 3183, 43201, 342, 284, 220, 16, 15, 296, 2687, 29456, 305, 284, 220, 21, 15, 9961, 1365, 220, 18, 20, 9961, 284, 220, 17, 20, 9961, 284, 220, 15, 11, 17, 20, 296, 2350, 284, 220, 16, 13, 15, 15, 15, 20972, 3183, 43201, 659, 220, 16, 15, 296, 2687, 29456, 659, 220, 15, 11, 17, 20, 296, 284, 220, 17, 13, 20, 15, 15, 451, 3183, 29456, 730, 18424, 33194, 38165, 549, 422, 220, 23, 13, 422, 2780, 29979, 2257, 2587, 425, 962, 2143, 549, 4501, 72, 55784, 685, 11397, 4501, 72, 1140, 20411, 65389, 59422, 549, 4501, 72, 1140, 20411, 11397, 4501, 72, 17239, 585, 619, 2767, 549, 468, 1194, 8212, 55784, 685, 11397, 4501, 72, 1140, 20411, 11397, 4501, 72, 17239, 585, 730, 18424, 33194, 38165, 549, 425, 220, 24, 13, 220, 18, 3392, 1579, 19729, 32956, 8656, 220, 16, 23, 633, 21320, 36092, 7578, 10386, 24200, 3457, 12133, 55487, 7577, 12133, 55487, 549, 85140, 633, 21320, 738, 67721, 3392, 1579, 619, 2767, 549, 3392, 1579, 18, 633, 21320, 16, 23, 284, 69, 284, 220, 21, 633, 3446, 295, 284, 220, 21, 36092, 730, 18424, 33194, 38165, 549, 425, 220, 16, 15, 13, 2885, 24200, 9015, 2257, 549, 274, 284, 220, 17, 15, 22962, 289, 284, 220, 21, 15, 15, 26970, 273, 467, 284, 434, 659, 328, 284, 434, 284, 328, 467, 284, 22962, 17, 15, 26970, 273, 21, 15, 15, 284, 220, 18, 15, 296, 730, 18424, 33194, 38165, 549, 425, 220, 16, 16, 13, 5714, 276, 8321, 64, 284, 220, 17, 20, 451, 1365, 220, 20, 451, 284, 220, 17, 15, 451, 73294, 3357, 24768, 17568, 28, 17383, 223, 198, 18, 13, 220, 18, 13, 3616, 79, 484, 22051, 320, 82, 8, 284, 220, 16, 15, 296, 467, 284, 434, 856, 328, 284, 220, 17, 15, 451, 856, 220, 16, 15, 296, 284, 220, 17, 15, 15, 451, 744, 284, 220, 17, 15, 15, 26970, 273, 730, 18424, 33194, 38165, 549, 362, 220, 16, 17, 13, 362, 13, 2340, 1330, 573, 33701, 73, 24074, 549, 14103, 524, 296, 6191, 425, 13, 2340, 1330, 573, 33701, 73, 24074, 549, 17239, 585, 23604, 4195, 661, 1466, 51316, 926, 3235, 356, 13, 2340, 1330, 573, 33701, 73, 24074, 549, 9765, 300, 422, 13, 2340, 1330, 573, 33701, 73, 24074, 549, 14103, 524, 296, 6191, 730, 18424, 33194, 38165, 549, 356, 220, 16, 18, 13, 350, 284, 220, 15, 11, 19, 511, 39537, 282, 284, 350, 220, 16, 284, 220, 19, 11, 15, 220, 16, 284, 220, 19, 220, 16, 15, 36092, 284, 220, 17, 11, 20, 36092, 730, 18424, 33194, 38165, 549, 422, 220, 16, 19, 13, 65247, 38072, 44117, 4704, 2969, 266, 31811, 549, 1147, 266, 11016, 266, 11, 1147, 266, 272, 1310, 11, 9101, 6819, 65247, 38072, 4704, 2969, 266, 31811, 1147, 266, 11016, 266, 49935, 62090, 266, 24200, 1147, 266, 272, 1310, 9101, 49935, 62090, 266, 24200, 6819, 730, 18424, 33194, 38165, 549, 422, 220, 16, 20, 13, 2885, 24200, 9015, 2257, 549, 2055, 284, 220, 16, 17, 9961, 282, 284, 220, 16, 15, 9961, 35547, 50, 333, 21999, 4416, 220, 16, 16, 16, 16, 16, 16, 24196, 28, 51018, 28, 10, 284, 220, 16, 17, 220, 16, 220, 16, 15, 220, 16, 24196, 284, 220, 21, 15, 220, 20, 21, 24196, 11832, 220, 16, 284, 220, 21, 15, 220, 16, 11832, 284, 220, 21, 15, 730, 18424, 33194, 38165, 549, 422, 220, 16, 21, 13, 282, 284, 220, 16, 17, 9961, 2055, 284, 220, 16, 20, 9961, 198, 19, 13, 220, 19, 13, 35547, 50, 333, 21999, 4416, 220, 16, 16, 16, 16, 16, 16, 24196, 28, 51018, 28, 10, 284, 220, 16, 20, 220, 16, 220, 16, 17, 220, 16, 24196, 284, 220, 21, 15, 220, 19, 20, 24196, 284, 220, 21, 15, 220, 16, 11832, 284, 220, 21, 15, 9961, 730, 18424, 33194, 38165, 549, 422, 220, 16, 22, 13, 422, 2780, 821, 31811, 9015, 2257, 549, 29979, 2257, 358, 549, 24016, 1579, 22708, 18633, 502, 266, 12540, 1853, 409, 848, 83727, 11397, 82881, 266, 5517, 24074, 549, 386, 3810, 1893, 29979, 2257, 7946, 549, 738, 74977, 38014, 2143, 595, 95608, 459, 8142, 1579, 22708, 18633, 502, 266, 12540, 55052, 266, 1853, 83727, 8907, 67541, 18342, 64, 595, 95608, 459, 10371, 23604, 585, 2143, 10207, 75, 57825, 549, 272, 1225, 2185, 10293, 8, 730, 18424, 33194, 38165, 549, 422, 220, 16, 23, 13, 4598, 277, 52315, 404, 87147, 1579, 293, 4195, 84, 16225, 1140, 20411, 82277, 58497, 4078, 436, 562, 20414, 595, 466, 79614, 422, 2780, 817, 61517, 9991, 36686, 34073, 562, 276, 1982, 92046, 549, 25949, 74, 34685, 595, 466, 79614, 10207, 79, 484, 1466, 1962, 52315, 404, 87147, 1579, 91665, 65401, 52315, 404, 87147, 1579, 1962, 273, 40116, 276, 62788, 34685, 13, 619, 2767, 52315, 404, 87147, 1579, 293, 4195, 84, 16225, 1140, 20411, 4184, 49748, 10293, 8, 730, 18424, 33194, 38165, 549, 425, 220, 16, 24, 13, 431, 5035, 284, 220, 17, 7851, 102, 488, 220, 18, 7851, 102, 284, 220, 20, 7851, 102, 358, 10371, 19729, 278, 404, 549, 7851, 102, 20, 647, 15, 17, 284, 220, 19, 362, 65389, 2953, 68914, 3101, 6454, 4554, 549, 647, 284, 358, 856, 431, 17, 284, 220, 19, 856, 220, 18, 284, 220, 16, 17, 647, 730, 18424, 33194, 38165, 549, 356, 220, 17, 15, 13, 431, 5035, 549, 7851, 102, 28, 24768, 284, 3443, 24768, 10, 220, 16, 20, 220, 20, 19, 220, 16, 20, 220, 21, 24, 220, 21, 21, 18, 220, 21, 8, 21, 18, 7, 358, 284, 362, 431, 647, 2790, 220, 22, 11, 16, 220, 24, 220, 16, 20, 220, 20, 19, 220, 16, 20, 220, 21, 220, 16, 20, 220, 20, 19, 220, 21, 621, 17568, 418, 730, 18424, 33194, 38165, 549, 356, 220, 17, 16, 13, 12100, 12589, 284, 1899, 64, 856, 85882, 856, 12183, 333, 284, 220, 15, 15, 15, 13, 16, 220, 23, 15, 15, 13, 18, 15, 20, 16, 15, 15, 19, 68108, 43711, 86, 1587, 24768, 17568, 17568, 17568, 284, 68108, 13, 220, 19, 23, 13, 15, 15, 15, 11, 15, 15, 730, 18424, 33194, 38165, 549, 356, 220, 17, 17, 13, 8907, 34889, 61886, 796, 1466, 342, 436, 562, 276, 9101, 93251, 30599, 392, 10371, 4078, 436, 562, 8656, 549, 18078, 72, 61717, 549, 547, 73, 2185, 393, 11397, 30599, 392, 8621, 5059, 547, 73, 2185, 1207, 11397, 30599, 392, 11806, 16225, 18078, 72, 10635, 549, 547, 73, 2185, 431, 11397, 30599, 392, 8621, 5059, 547, 73, 2185, 350, 11397, 30599, 392, 11806, 16225, 730, 18424, 33194, 38165, 549, 356, 220, 17, 18, 13, 8907, 34889, 61886, 796, 1466, 796, 355, 31811, 326, 3664, 276, 9101, 595, 3779, 1466, 259, 18633, 13422, 276, 11, 82277, 6260, 20, 13, 220, 20, 13, 425, 19042, 67710, 549, 547, 73, 2185, 730, 11397, 30599, 392, 8621, 5059, 547, 73, 2185, 444, 11397, 30599, 392, 11806, 16225, 328, 333, 266, 32197, 549, 425, 19042, 11397, 11624, 268, 730, 18424, 33194, 38165, 549, 362, 220, 17, 19, 13, 451, 3029, 45067, 11580, 10207, 34889, 61886, 9015, 2257, 549, 220, 16, 13, 8755, 74, 6070, 355, 220, 20, 13, 809, 19519, 220, 17, 13, 48976, 220, 21, 13, 49153, 355, 220, 18, 13, 425, 24336, 220, 22, 13, 79670, 355, 220, 19, 13, 21048, 220, 23, 13, 4182, 417, 359, 355, 49153, 355, 10207, 2584, 1853, 517, 5059, 809, 19519, 320, 20, 8, 9101, 79670, 355, 320, 22, 8, 730, 18424, 33194, 38165, 549, 356, 220, 17, 20, 13, 393, 10704, 72, 79042, 4284, 9015, 2257, 549, 29979, 2257, 358, 549, 6368, 524, 89144, 3295, 29979, 2257, 7946, 549, 6368, 524, 89144, 3295, 38372, 6368, 524, 281, 399, 3029, 730, 18424, 33194, 38165, 549, 422, 220, 17, 21, 13, 730, 18424, 33194, 38165, 549, 422, 356, 20679, 296, 16722, 3101, 30794, 454, 31811, 9015, 2257, 37560, 5931, 269, 18898, 309, 10923, 524, 296, 10009, 10606, 18708, 399, 7755, 37560, 96583, 8858, 524, 8221, 585, 220, 17, 22, 13, 730, 18424, 33194, 38165, 549, 425, 356, 20679, 259, 3551, 69886, 46199, 354, 321, 9101, 1615, 562, 354, 321, 2308, 10762, 3128, 562, 354, 321, 422, 1579, 354, 321, 220, 16, 16358, 277, 8245, 370, 332, 350, 372, 14398, 524, 220, 17, 16098, 524, 350, 60389, 96583, 2969, 2356, 11, 27281, 293, 2962, 370, 524, 6771, 585, 502, 3249, 276, 63567, 360, 12540, 50537, 2257, 50191, 2969, 2356, 11, 9101, 293, 2962, 370, 524, 6771, 585, 502, 3249, 276, 63567, 360, 12540, 1982, 2628, 220, 18, 14235, 359, 42216, 524, 2994, 359, 46647, 355, 10207, 65, 306, 3101, 281, 6255, 42216, 524, 2994, 359, 54425, 404, 573, 38372, 41374, 2780, 220, 19, 425, 91845, 619, 30327, 43216, 74, 6089, 14109, 301, 453, 585, 10207, 17659, 573, 16225, 220, 18, 619, 30327, 43216, 74, 6089, 14109, 301, 453, 585, 10207, 17659, 573, 16225, 220, 17, 11, 220, 19, 11, 38372, 220, 20, 220, 20, 425, 34873, 444, 8858, 12466, 10207, 440, 9989, 58566, 444, 8858, 12466, 10207, 440, 9989, 220, 17, 220, 17, 23, 13, 730, 18424, 33194, 38165, 549, 356 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 7014, 11, 7400, 220, 16, 24, 11, 220, 17, 15, 17, 19, 271, 14374, 6058, 220, 17, 15, 17, 19, 76443, 220, 17, 11, 3660, 7946, 271, 1986, 7006, 572, 3986, 82880, 304, 6058, 220, 17, 15, 17, 19, 382, 7661, 77677, 5322, 382, 14374, 76443, 220, 17, 6058, 220, 17, 15, 17, 19, 271, 5800, 7946, 25, 8886, 4396, 4226, 686, 5258, 220, 17, 20141, 13, 24552, 6668, 646, 387, 15303, 13, 3776, 16523, 320, 64947, 1663, 476, 43801, 8, 686, 9052, 220, 16, 1459, 13, 362, 2086, 16523, 686, 9052, 279, 1008, 1459, 13, 1084, 374, 7025, 3204, 311, 633, 220, 16, 1459, 369, 264, 4396, 4226, 448, 902, 4396, 975, 6839, 382, 17, 20, 13, 37729, 279, 7493, 856, 18, 488, 220, 19, 87, 17, 481, 220, 24, 87, 481, 220, 18, 21, 6587, 382, 20661, 553, 49184, 11, 323, 1221, 8168, 279, 79151, 498, 633, 1283, 279, 1156, 3019, 382, 3862, 525, 1378, 5510, 311, 1874, 11, 323, 2987, 1265, 975, 304, 894, 3405, 315, 419, 3093, 382, 87, 18, 488, 220, 19, 87, 17, 481, 220, 24, 87, 481, 220, 18, 21, 198, 2075, 18, 488, 220, 19, 87, 17, 8, 481, 320, 24, 87, 488, 220, 18, 21, 340, 87, 17, 2075, 488, 220, 19, 8, 481, 220, 24, 2075, 488, 220, 19, 340, 2075, 17, 481, 220, 24, 2376, 87, 488, 220, 19, 340, 2075, 488, 220, 18, 2376, 87, 481, 220, 18, 2376, 87, 488, 220, 19, 692, 2610, 646, 1083, 3398, 279, 1378, 6149, 3793, 2163, 13, 1096, 374, 1101, 279, 1616, 358, 9498, 432, 11, 773, 358, 5990, 653, 432, 11, 5310, 421, 432, 8609, 752, 5648, 2097, 5503, 700, 264, 27283, 1841, 382, 87, 18, 481, 220, 24, 87, 488, 220, 19, 87, 17, 481, 220, 18, 21, 198, 2075, 18, 481, 220, 24, 87, 8, 488, 320, 19, 87, 17, 481, 220, 18, 21, 340, 87, 2075, 17, 481, 220, 24, 8, 488, 220, 19, 2075, 17, 481, 220, 24, 340, 2075, 488, 220, 19, 2376, 87, 17, 481, 220, 24, 340, 2075, 488, 220, 19, 2376, 87, 488, 220, 18, 2376, 87, 481, 220, 18, 692, 9112, 25, 1096, 572, 15308, 21476, 311, 15846, 220, 17, 20, 389, 279, 4928, 3045, 220, 17, 15, 17, 18, 77677, 13, 10083, 1495, 311, 279, 320, 87, 488, 220, 18, 2376, 87, 481, 220, 18, 3593, 17, 21, 13, 29901, 421, 856, 488, 220, 19, 374, 264, 8168, 315, 220, 17, 87, 18, 488, 220, 16, 15, 87, 17, 488, 220, 19, 87, 481, 220, 16, 21, 13, 81917, 697, 4226, 382, 2679, 320, 87, 488, 220, 19, 8, 374, 264, 8168, 315, 279, 47311, 11, 1221, 279, 897, 315, 279, 47311, 1969, 387, 220, 15, 979, 856, 284, 481, 19, 382, 17, 4080, 19, 8, 18, 488, 220, 16, 15, 4080, 19, 8, 17, 488, 220, 19, 4080, 19, 8, 481, 220, 16, 21, 284, 220, 15, 271, 12549, 279, 7493, 374, 6144, 311, 7168, 979, 856, 284, 481, 19, 11, 1221, 320, 87, 488, 220, 19, 8, 1969, 387, 264, 8168, 382, 2610, 1410, 1083, 11625, 419, 1667, 47311, 12804, 382, 2075, 488, 220, 19, 8, 64828, 41047, 11, 448, 902, 26313, 11, 773, 432, 374, 264, 8168, 382, 17, 22, 13, 1527, 2856, 9162, 315, 32882, 16, 15, 15, 15, 24491, 264, 897, 11, 647, 1155, 701, 4092, 311, 279, 1614, 647, 1155, 8, 284, 220, 16, 15, 15, 15, 7, 16, 13, 15, 16, 8, 19, 83, 11, 1380, 259, 374, 279, 882, 304, 1635, 624, 35, 24308, 279, 5461, 4379, 315, 2297, 11, 311, 279, 23480, 17692, 817, 1042, 11, 315, 419, 9162, 504, 1042, 220, 17, 311, 1042, 220, 22, 382, 47866, 647, 7, 22, 8, 323, 647, 7, 17, 568, 93210, 1105, 323, 21749, 553, 220, 22, 481, 220, 17, 11, 892, 374, 220, 20, 13, 1446, 525, 3330, 369, 279, 4379, 315, 2297, 320, 269, 30232, 11, 421, 498, 10702, 3593, 53, 7, 22, 8, 284, 220, 16, 15, 15, 15, 7, 16, 13, 15, 16, 8, 19, 7, 22, 8, 284, 220, 16, 18, 17, 16, 13, 17, 24, 271, 53, 7, 17, 8, 284, 220, 16, 15, 15, 15, 7, 16, 13, 15, 16, 8, 19, 7, 17, 8, 284, 220, 16, 15, 23, 17, 13, 23, 21, 271, 11564, 315, 2297, 284, 320, 16, 18, 17, 16, 13, 17, 24, 481, 220, 16, 15, 23, 17, 13, 23, 21, 8, 608, 220, 20, 284, 220, 19, 22, 13, 21, 23, 21, 11, 892, 374, 32882, 19, 23, 311, 279, 23480, 17692, 382, 17, 23, 13, 3197, 320, 220, 16, 608, 11995, 249, 7, 88, 17, 8, 873, 379, 19, 374, 5326, 304, 279, 1352, 80761, 11, 1128, 374, 279, 897, 315, 308, 30, 4599, 1437, 697, 4226, 382, 10253, 279, 6872, 315, 505, 2700, 311, 2297, 279, 17855, 1119, 264, 19419, 13, 576, 15963, 279, 3793, 382, 7, 220, 16, 608, 11995, 249, 7, 88, 17, 8, 873, 379, 19, 198, 7, 220, 16, 608, 320, 88, 17, 14, 18, 8, 379, 19, 198, 7021, 12, 17, 14, 18, 8, 379, 19, 198, 88, 16, 15, 14, 18, 271, 77, 284, 220, 16, 15, 14, 18, 382, 17, 24, 13, 576, 35294, 315, 279, 3613, 315, 264, 28679, 6335, 525, 14279, 4237, 13, 576, 5461, 2608, 374, 220, 21, 19, 13, 22, 14924, 448, 264, 5297, 37564, 315, 220, 19, 13, 18, 14924, 13, 29901, 279, 11414, 315, 6335, 3613, 11, 311, 279, 23480, 3266, 11, 879, 525, 1948, 220, 21, 22, 14924, 323, 220, 22, 17, 14924, 16217, 382, 6865, 1513, 944, 990, 279, 9487, 448, 279, 4622, 7982, 323, 678, 279, 5297, 85265, 12864, 1007, 894, 803, 13, 2379, 1101, 9658, 429, 498, 614, 323, 686, 990, 264, 29952, 369, 419, 382, 2610, 1184, 311, 990, 279, 4622, 58348, 729, 382, 6269, 279, 3210, 4622, 58348, 7, 21, 22, 11, 22, 17, 11, 21, 19, 13, 22, 11, 19, 13, 18, 8, 323, 498, 686, 633, 659, 17, 20, 16, 20, 1112, 476, 220, 17, 20, 34332, 2403, 315, 279, 5109, 429, 728, 1119, 279, 3210, 525, 304, 279, 3405, 13, 27536, 6822, 11, 8416, 6822, 11, 22553, 11, 5297, 37564, 382, 18, 15, 13, 576, 11464, 14806, 458, 284, 220, 21, 488, 220, 21, 77, 10868, 279, 1372, 315, 16312, 304, 1817, 2802, 304, 264, 5700, 26705, 11, 1380, 308, 10868, 279, 2802, 1372, 13, 93213, 419, 14806, 304, 30819, 1352, 382, 32, 30819, 729, 3880, 458, 2856, 897, 320, 64, 16, 8, 323, 458, 23606, 369, 458, 374, 3793, 315, 458, 12, 16, 382, 785, 304, 680, 897, 264, 16, 284, 220, 16, 17, 382, 12209, 458, 284, 458, 12, 16, 488, 220, 21, 11, 1576, 279, 4185, 6672, 320, 7698, 315, 2297, 8, 374, 220, 21, 382, 18, 16, 4073, 320, 17, 11665, 18, 481, 220, 18, 88, 8, 17, 8, 304, 44548, 1352, 382, 33271, 279, 9544, 20855, 11, 27679, 279, 13430, 315, 600, 11, 323, 46812, 8909, 19591, 382, 7, 17, 11665, 18, 481, 220, 18, 88, 8, 17, 692, 7, 17, 11665, 18, 481, 220, 18, 88, 2376, 17, 11665, 18, 481, 220, 18, 88, 692, 19, 87, 17, 72, 21, 481, 220, 21, 4130, 72, 18, 481, 220, 21, 4130, 72, 18, 488, 220, 24, 88, 17, 271, 12, 19, 87, 17, 481, 220, 16, 17, 4130, 72, 18, 488, 220, 24, 88, 17, 271, 12, 19, 87, 17, 488, 220, 16, 17, 4130, 72, 488, 220, 24, 88, 17, 271, 18, 17, 13, 362, 10572, 572, 2661, 311, 220, 16, 17, 20, 15, 26618, 4091, 1550, 2906, 4143, 518, 279, 835, 315, 862, 26052, 1042, 13, 576, 10572, 8900, 3040, 1736, 12, 6759, 4002, 2606, 25, 1378, 4666, 7770, 11, 3040, 4666, 7770, 11, 6277, 11, 476, 975, 13, 4940, 279, 220, 16, 17, 20, 15, 14507, 11, 220, 19, 22, 20, 14554, 264, 3040, 4666, 7770, 13, 3234, 825, 3204, 16688, 429, 646, 387, 1865, 911, 279, 7042, 315, 1550, 2906, 82744, 1087, 11, 3118, 389, 419, 10572, 271, 1986, 4977, 4558, 2238, 4285, 264, 3491, 13, 1416, 498, 21749, 220, 19, 22, 20, 14, 16, 17, 20, 15, 11, 498, 633, 659, 18, 23, 476, 220, 18, 23, 34332, 3966, 16688, 498, 646, 4038, 374, 429, 279, 7042, 315, 1550, 2906, 82744, 1087, 429, 1035, 14554, 264, 3040, 4666, 7770, 1035, 4658, 387, 911, 220, 18, 23, 4, 323, 220, 21, 17, 4, 1035, 5157, 264, 2155, 2999, 382, 3727, 315, 3660, 7946, 271, 4340, 1521, 498, 653, 1939, 7661, 311, 2525, 13, 17681, 323, 4755, 10565, 382, 7661, 77677, 5322, 382, 14374, 358, 1083, 3270, 42654, 2219, 2610, 646, 1431, 1973, 847, 23601, 2311, 49623, 594, 53233, 11, 36518, 82, 25, 362, 87050, 2631, 608, 3017, 16354, 18694, 7107, 11587, 11, 5326, 553, 24986, 619, 13, 49623, 11, 892, 5610, 279, 45652, 3364, 323, 264, 12037, 3364, 624, 4431, 279, 8413, 3688, 476, 33997, 518, 8176, 382, 13394, 11, 1779, 700, 758, 362, 17263, 220, 17, 15, 17, 15, 11, 553, 24986, 619, 13, 49623, 369, 220, 17, 15, 2244, 8217, 16989, 7343, 11, 13942, 29287, 369, 697, 5426, 31227, 624, 16485, 304, 8413, 3688, 476, 33997, 518, 8176, 382, 2679, 498, 4669, 432, 11, 4486, 2908, 9380, 264, 10728, 476, 3395, 389, 8176, 476, 389, 7684, 43721, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2132, 374, 5023, 220, 17, 17, 4620, 220, 17, 15, 16, 22, 11, 220, 15, 15, 25, 19, 23, 271, 20637, 828, 10140, 13385, 48069, 271, 13060, 498, 369, 1667, 279, 9021, 481, 419, 10847, 5392, 646, 16045, 697, 5068, 323, 4190, 803, 6588, 4755, 13, 1205, 614, 52100, 498, 311, 13385, 48069, 23382, 4566, 2551, 382, 10268, 1506, 198, 1958, 1446, 271, 896, 686, 3735, 501, 4755, 429, 2432, 697, 2188, 3118, 389, 697, 17759, 11099, 271, 15667, 271, 29015, 2003, 11, 582, 4700, 3624, 498, 458, 12943, 19172, 828, 5456, 3118, 389, 697, 5068, 271, 88492, 198, 47, 942, 271, 896, 686, 3735, 501, 4755, 429, 2432, 697, 2188, 3118, 389, 697, 17759, 11099, 271, 7900, 609, 17582, 40256, 271, 7900, 609, 17582, 40256, 304, 5534, 198, 5002, 62665, 16841, 271, 333, 760, 76, 10, 19, 87803, 17, 11, 1128, 374, 279, 897, 315, 296, 30, 320, 64, 8, 296, 366, 15, 320, 64, 8, 296, 17, 488, 23, 76, 59454, 7133, 4856, 198, 2043, 198, 41373, 25, 220, 17, 22, 10057, 220, 17, 15, 15, 18, 198, 19631, 25, 220, 16, 17, 17, 271, 42, 45079, 508, 30, 5669, 220, 20, 23, 508, 15, 1125, 2661, 25, 220, 15, 271, 4707, 25, 20539, 198, 333, 760, 76, 10, 19, 87803, 17, 11, 1128, 374, 279, 897, 315, 296, 30, 320, 64, 8, 296, 366, 15, 320, 64, 8, 296, 17, 488, 23, 76, 488, 4102, 67216, 81104, 2533, 7812, 27683, 271, 15, 20, 4915, 220, 17, 15, 15, 18, 11, 220, 17, 18, 25, 18, 19, 198, 16, 198, 1986, 1736, 572, 198, 36625, 24033, 1479, 198, 15, 15, 25, 15, 15, 271, 72109, 1447, 8204, 10360, 692, 14582, 29927, 1447, 16, 15, 15, 4, 320, 15, 15, 25, 15, 18, 8, 4396, 220, 15, 4, 320, 15, 15, 25, 15, 15, 8, 4969, 3118, 389, 220, 16, 16, 15704, 271, 21692, 7812, 9021, 24624, 271, 1986, 8544, 374, 16061, 13, 1416, 498, 1366, 311, 4263, 419, 3405, 4486, 312, 24410, 432, 304, 279, 19511, 11848, 382, 333, 760, 76, 10, 19, 87803, 17, 11, 1128, 374, 279, 897, 315, 296, 5267, 2877, 8, 296, 366, 15, 198, 2877, 8, 296, 17, 488, 23, 76, 488, 220, 16, 17, 28, 15, 271, 42, 45079, 508, 30, 5669, 220, 20, 23, 508, 15, 1125, 2661, 25, 220, 15, 271, 50, 13378, 198, 41373, 25, 220, 15, 18, 13498, 220, 17, 15, 15, 18, 198, 19631, 25, 220, 16, 21, 15, 18, 271, 42, 45079, 508, 30, 5669, 220, 18, 15, 23, 508, 15, 1125, 2661, 25, 220, 15, 271, 7812, 27683, 271, 15, 20, 4915, 220, 17, 15, 15, 18, 11, 220, 17, 18, 25, 19, 19, 198, 76, 10829, 17, 476, 481, 21, 271, 7, 16, 8, 537, 8489, 198, 7, 17, 8, 296, 17, 488, 23, 76, 488, 220, 16, 17, 28, 15, 476, 296, 10829, 17, 476, 481, 21, 537, 8489, 271, 36, 271, 42, 45079, 508, 30, 5669, 220, 18, 15, 23, 508, 15, 1125, 2661, 25, 220, 15, 271, 8121, 11278, 7136, 2657, 198, 41373, 25, 220, 15, 24, 17449, 220, 17, 15, 16, 18, 198, 19631, 25, 220, 16, 20, 20, 21, 17, 271, 42, 45079, 508, 30, 5669, 220, 17, 23, 18, 508, 15, 1125, 2661, 25, 220, 15, 271, 693, 25, 421, 760, 76, 10, 19, 87803, 17, 11, 1128, 374, 279, 897, 315, 296, 30, 320, 64, 8, 296, 366, 15, 320, 64, 8, 296, 17, 488, 23, 76, 488, 4102, 67216, 81104, 2533, 7812, 27683, 271, 17, 16, 4915, 220, 17, 15, 16, 21, 11, 220, 17, 17, 25, 16, 19, 198, 9707, 504, 279, 19172, 828, 10140, 425, 1510, 23502, 2219, 12658, 311, 2441, 19172, 828, 10140, 4462, 11, 358, 614, 1101, 11105, 419, 15172, 8544, 11, 3602, 432, 1030, 902, 10219, 369, 916, 264, 1042, 13, 358, 1079, 1431, 27575, 287, 432, 705, 481, 3730, 847, 2618, 13, 358, 1744, 498, 1231, 1477, 432, 15172, 320, 24610, 1846, 30637, 448, 730, 45079, 3593, 28823, 311, 1490, 678, 1008, 13347, 358, 4078, 700, 30, 11112, 752, 320, 3678, 1795, 3137, 389, 5526, 568, 1446, 686, 5258, 264, 12126, 315, 678, 13347, 358, 27575, 304, 697, 5526, 3082, 438, 1632, 438, 4566, 2551, 624, 88252, 42, 45079, 508, 30, 5669, 220, 17, 23, 18, 508, 15, 1125, 2661, 25, 220, 15, 271, 693, 25, 421, 760, 76, 10, 19, 87803, 17, 11, 1128, 374, 279, 897, 315, 296, 30, 320, 64, 8, 296, 366, 15, 320, 64, 8, 296, 17, 488, 23, 76, 488, 17091, 83703, 81104, 60, 220, 17, 16, 4915, 220, 17, 15, 16, 21, 11, 220, 17, 17, 25, 16, 19, 198, 7020, 7999, 504, 3681, 25, 15967, 553 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 565, 362, 23321, 12506, 304, 1378, 3871, 1599, 609, 809, 13, 1260, 702, 89791, 16, 11, 15, 15, 11, 15, 15, 15, 23650, 311, 2725, 609, 3550, 311, 3553, 220, 23, 15, 9666, 13, 5643, 1599, 7049, 89791, 220, 17, 20, 15, 15, 23650, 609, 64, 271, 14582, 271, 32, 23321, 12506, 304, 1378, 3871, 1599, 609, 809, 13, 1260, 702, 89791, 16, 11, 15, 15, 11, 15, 15, 15, 23650, 311, 2725, 609, 3550, 311, 3553, 220, 23, 15, 9666, 13, 5643, 1599, 7049, 89791, 220, 17, 20, 15, 15, 23650, 609, 1985, 809, 7049, 89791, 220, 16, 15, 15, 15, 23650, 817, 4982, 13, 18678, 279, 444, 4406, 323, 1477, 279, 1372, 315, 8153, 315, 1817, 1985, 311, 387, 14733, 382, 258, 5098, 220, 15, 198, 16, 2254, 220, 17, 15, 17, 16, 12, 15, 22, 12, 18, 16, 51, 15, 19, 25, 19, 24, 25, 18, 22, 10, 15, 15, 25, 15, 15, 220, 17, 37243, 220, 15, 6194, 220, 15, 271, 23, 73, 1312, 82, 8940, 58913, 23, 43390, 11067, 4481, 2660, 14084, 77, 271, 17, 13, 16246, 549, 362, 23321, 12506, 304, 1378, 3871, 1599, 609, 809, 13, 1260, 702, 89791, 16, 11, 15, 15, 11, 15, 15, 15, 23650, 311, 2725, 609, 3550, 311, 3553, 220, 23, 15, 9666, 13, 5643, 1599, 7049, 89791, 220, 17, 20, 15, 15, 23650, 609, 1985, 809, 7049, 89791, 220, 16, 15, 15, 15, 23650, 817, 4982, 382, 1249, 7379, 549, 18678, 279, 444, 4406, 323, 271, 1782, 1372, 315, 8153, 315, 1817, 1985, 311, 387, 14733, 382, 36842, 1447, 10061, 1977, 4982, 311, 387, 10788, 369, 1985, 1599, 525, 856, 220, 4102, 437, 1985, 809, 525, 379, 271, 8746, 311, 3553, 220, 23, 15, 9666, 271, 87, 488, 379, 220, 4102, 144570, 220, 23, 15, 271, 1519, 702, 89791, 16, 11, 15, 15, 11, 15, 15, 15, 23650, 311, 2725, 271, 2179, 220, 17, 20, 15, 15, 87, 220, 4102, 10, 220, 16, 15, 15, 15, 88, 37294, 220, 16, 15, 15, 15, 15, 15, 271, 2179, 220, 17, 20, 87, 488, 220, 16, 15, 88, 37294, 220, 16, 15, 15, 15, 271, 2179, 220, 20, 87, 220, 4102, 10, 220, 17, 88, 37294, 220, 17, 15, 15, 271, 87, 488, 379, 220, 4102, 144570, 220, 23, 15, 271, 20, 87, 220, 4102, 10, 220, 17, 88, 37294, 220, 17, 15, 15, 271, 87, 284, 220, 19, 15, 1154, 379, 284, 220, 15, 271, 87, 284, 220, 19, 15, 14, 18, 220, 4102, 11, 379, 284, 220, 4102, 17, 15, 15, 14, 18, 271, 87, 284, 220, 15, 17091, 1154, 220, 4102, 88, 284, 220, 23, 15, 271, 7039, 4623, 4682, 525, 537, 3897, 429, 1128, 374, 1850, 311, 3695 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16, 608, 220, 16, 20, 271, 2, 27315, 220, 17, 16, 15, 17, 271, 33899, 220, 17, 16, 15, 17, 70714, 8294, 32455, 18698, 512, 89, 13, 293, 13, 264, 13, 27315, 220, 17, 16, 15, 17, 659, 16338, 11797, 13, 10922, 45021, 25, 22106, 3020, 304, 4013, 13, 9043, 22106, 1087, 525, 1036, 258, 4013, 854, 421, 807, 525, 8433, 1741, 429, 279, 1852, 1482, 27455, 304, 2176, 382, 565, 27315, 220, 17, 16, 15, 17, 271, 36, 451, 422, 271, 14374, 50868, 90303, 271, 16, 13, 27315, 220, 17, 16, 15, 17, 70714, 8294, 32455, 96365, 293, 264, 27315, 220, 17, 16, 15, 17, 16338, 11797, 271, 17, 13, 10922, 45021, 25, 22106, 3020, 304, 4013, 9043, 22106, 1087, 525, 1036, 258, 4013, 854, 421, 807, 525, 8433, 1741, 429, 279, 1852, 1482, 27455, 304, 2176, 13, 576, 1036, 25310, 11769, 13643, 854, 374, 264, 3175, 49952, 77636, 429, 646, 8290, 279, 22106, 3020, 304, 4013, 13, 1036, 78516, 279, 6337, 854, 3059, 304, 549, 36, 1365, 72, 49, 16, 17600, 49, 17, 17600, 49, 18, 28, 15, 68298, 106, 600, 85234, 11884, 49, 16, 10, 49, 17, 10, 49, 18, 8, 758, 279, 16224, 448, 279, 13578, 13643, 11, 468, 1365, 72, 27234, 28, 15, 68298, 106, 600, 85234, 14, 27234, 14301, 3554, 18, 13, 22162, 18045, 453, 45021, 25, 22106, 1087, 304, 15279, 9043, 22106, 1087, 525, 1036, 258, 15279, 854, 421, 807, 525, 8433, 1741, 429, 1052, 374, 279, 1852, 4650, 5943, 1526, 2176, 13, 576, 1036, 25310, 11769, 13643, 854, 374, 264, 3175, 49952, 77636, 429, 646, 8290, 279, 22106, 3020, 304, 15279, 13, 1036, 78516, 279, 29753, 854, 3059, 304, 549, 36, 1365, 72, 16, 49, 16, 28, 15, 11, 468, 1365, 72, 17, 49, 17, 28, 15, 11, 468, 1365, 72, 18, 49, 18, 28, 15, 576, 2790, 1482, 12600, 553, 279, 11602, 374, 600, 284, 600, 16, 21212, 17, 21212, 18, 284, 468, 19382, 16, 10, 468, 19382, 17, 10, 468, 19382, 18, 13, 758, 279, 16224, 448, 279, 13578, 77636, 11, 600, 85234, 14, 27234, 13, 14301, 3554, 19, 13, 78868, 1087, 323, 97103, 11905, 78868, 1087, 12903, 580, 11905, 5309, 14806, 25, 647, 21397, 49, 1207, 28, 19589, 758, 4013, 25, 1852, 1482, 1852, 6757, 82458, 28, 145127, 49, 73, 220, 16, 11295, 11006, 28, 145127, 16, 11295, 73, 758, 15279, 25, 1852, 21720, 1852, 21720, 220, 16, 14, 27234, 28, 145127, 16, 19382, 73, 356, 11006, 28, 145127, 34, 73, 271, 20, 13, 10922, 45021, 7288, 21359, 5912, 25, 979, 11435, 3156, 264, 6337, 11, 912, 4650, 11799, 3941, 1817, 2392, 11, 323, 1281, 279, 2790, 6144, 311, 7168, 979, 498, 2525, 1182, 311, 279, 4024, 1459, 13, 7288, 67956, 5912, 25, 518, 1449, 48241, 11, 2790, 1482, 374, 1585, 2771, 13, 7288, 22079, 8282, 25, 7288, 29558, 22106, 1087, 304, 4013, 323, 304, 15279, 448, 862, 13578, 22106, 1087, 7288, 11992, 59601, 304, 1449, 9067, 11, 323, 2383, 1105, 7288, 9645, 279, 6337, 5912, 369, 1817, 6337, 320, 269, 369, 279, 6337, 429, 17601, 697, 3405, 8, 7288, 9645, 279, 48241, 5601, 369, 279, 59601, 13, 7288, 63284, 279, 37906, 369, 279, 59601, 13, 7288, 21806, 279, 3405, 429, 572, 4588, 382, 21, 13, 25737, 6337, 25, 320, 541, 770, 374, 39715, 8, 220, 16, 17, 53, 220, 23, 54, 13383, 15920, 77636, 5221, 78905, 1939, 22, 13, 13383, 7288, 15920, 16224, 702, 279, 7772, 13578, 13643, 30, 7288, 63964, 429, 678, 22106, 1087, 525, 279, 1852, 11, 892, 825, 92422, 973, 803, 2355, 30, 7288, 15920, 77636, 702, 279, 24632, 4650, 6672, 3941, 432, 1939, 23, 13, 62197, 279, 26264, 525, 10507, 11, 323, 614, 976, 69, 468, 16, 28, 16, 17, 53, 11, 468, 17, 28, 24, 53, 11, 323, 431, 28, 18, 54, 13, 15920, 1616, 686, 279, 1482, 6396, 30, 15920, 11602, 601, 3730, 6785, 975, 30, 1416, 279, 4650, 518, 362, 374, 220, 15, 53, 11, 1128, 374, 279, 4650, 518, 425, 30, 2585, 1753, 2355, 374, 13772, 62232, 553, 279, 77636, 30, 2585, 1753, 2355, 374, 13772, 62232, 320, 269, 41001, 8, 553, 279, 26264, 30, 13383, 271, 24, 13, 13383, 7379, 279, 13578, 13643, 1948, 3501, 320, 64, 8, 434, 323, 472, 323, 320, 65, 8, 434, 323, 479, 13, 320, 26987, 25, 1752, 1817, 6716, 315, 3501, 11, 12793, 429, 264, 11602, 374, 8433, 3941, 279, 6716, 9272, 16, 15, 13, 11581, 12, 62953, 26264, 7288, 1446, 614, 1378, 10507, 19516, 26264, 11, 323, 264, 77636, 13, 3155, 498, 4564, 279, 26264, 304, 4013, 476, 304, 15279, 311, 633, 7192, 1482, 1526, 431, 30, 7288, 12553, 279, 4226, 2297, 421, 498, 614, 2477, 12, 62953, 320, 8088, 2058, 19516, 8, 26264, 1939, 16, 16, 13, 8658, 53220, 7288, 1416, 678, 26264, 525, 10507, 11, 323, 678, 26264, 323, 3100, 16110, 1279, 525, 19516, 11, 304, 892, 27804, 686, 279, 3100, 16110, 1279, 438, 9906, 438, 279, 825, 304, 16224, 1599, 30, 7288, 12553, 279, 4226, 2297, 421, 26264, 525, 537, 10507, 1939, 16, 17, 13, 600, 1155, 8, 468, 19382, 21594, 45021, 25, 22641, 264, 84425, 758, 1493, 45021, 11, 1482, 686, 2297, 369, 264, 1393, 11, 323, 1221, 4717, 6783, 13, 1205, 1366, 311, 11625, 369, 1482, 438, 264, 729, 315, 882, 600, 1155, 568, 576, 6757, 389, 279, 84425, 686, 1083, 387, 264, 729, 315, 882, 25, 2804, 1155, 568, 576, 21720, 3941, 279, 77636, 323, 279, 84425, 1083, 2297, 448, 882, 13, 2014, 6757, 279, 84425, 11, 3265, 279, 3398, 389, 264, 13, 468, 488, 19168, 1155, 7257, 11287, 1155, 8, 284, 15, 468, 481, 72, 1155, 8, 49, 481, 80, 1155, 5620, 34, 284, 220, 15, 468, 481, 320, 85646, 1155, 5620, 8047, 8, 431, 481, 2804, 1155, 5620, 34, 284, 15, 362, 40164, 23606, 369, 2804, 1155, 41295, 576, 6291, 374, 25, 2804, 1155, 8, 284, 26711, 7, 16, 5655, 2385, 14, 7380, 8, 1597, 1221, 600, 1155, 8, 284, 71613, 3446, 83, 28, 320, 36, 19382, 8, 384, 2385, 14, 7380, 4120, 6783, 28, 7380, 271, 16, 18, 13, 600, 1155, 8, 488, 356, 468, 19382, 481, 21594, 45021, 25, 827, 62359, 264, 84425, 62197, 279, 3398, 702, 1012, 7877, 389, 264, 369, 264, 1293, 882, 25, 279, 84425, 686, 387, 11430, 448, 1207, 28, 2104, 13, 59092, 12448, 5005, 11, 3265, 279, 3398, 389, 293, 25, 10195, 1477, 862, 1616, 3941, 279, 16224, 11, 30592, 264, 1482, 13, 19168, 10, 11287, 28, 15, 481, 72, 1155, 8, 49, 10, 80, 1155, 5620, 34, 28, 15, 589, 320, 85646, 3446, 83, 8, 49, 10, 80, 1155, 5620, 34, 28, 15, 12478, 25, 2804, 1155, 11730, 80, 15, 68, 2385, 14, 7380, 28, 2104, 68, 2385, 14, 7380, 600, 1155, 8, 284, 71613, 3446, 83, 284, 320, 80, 15, 14, 7380, 8, 384, 2385, 14, 7380, 284, 320, 36, 19382, 8, 384, 2385, 14, 7380, 271, 16, 19, 13, 13383, 576, 2326, 45021, 3685, 525, 8433, 311, 279, 1852, 10507, 11602, 448, 976, 69, 468, 13, 2009, 22106, 1087, 614, 13643, 431, 11, 323, 678, 23015, 11905, 614, 98658, 681, 356, 13, 7288, 15920, 84425, 4990, 279, 22032, 304, 3709, 11430, 30, 7288, 15920, 84425, 10335, 705, 448, 279, 7772, 6757, 30, 7288, 3555, 748, 279, 1590, 1482, 12600, 553, 1817, 11602, 30, 7288, 3555, 8573, 979, 582, 28969, 279, 11602, 1939, 16, 20, 13, 13383, 758, 279, 7071, 11, 468, 28, 220, 16, 595, 53, 11, 356, 284, 220, 16, 15, 62912, 37, 11, 431, 16, 284, 431, 17, 284, 431, 18, 284, 220, 16, 44482, 13, 3085, 356, 6587, 650, 36961, 11, 3398, 328, 374, 14843, 7877, 320, 266, 259, 284, 220, 15, 568, 7288, 3555, 748, 279, 1482, 1526, 1817, 77636, 518, 259, 28, 15, 30, 7288, 3555, 748, 279, 1482, 1526, 1817, 77636, 1283, 264, 1293, 882, 30, 7288, 2585, 1293, 374, 264, 1293, 882, 1939, 7661, 24369 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10440, 17519, 71494, 49795, 369, 25094, 220, 16, 320, 15944, 220, 16, 8, 92578, 32310, 23382, 271, 56889, 1799, 56889, 19100, 271, 98204, 88552, 4063, 1402, 51860, 271, 79774, 220, 16, 320, 33, 44659, 220, 16, 692, 14374, 386, 4827, 50, 4063, 1402, 56728, 42386, 271, 58778, 362, 1365, 22201, 279, 4396, 4226, 504, 279, 2606, 382, 16, 13, 320, 220, 17, 19, 488, 220, 16, 15, 873, 488, 220, 16, 15, 271, 15481, 60, 220, 20, 19, 271, 18483, 60, 220, 21, 19, 271, 12447, 60, 220, 19, 19, 271, 17, 13, 25348, 318, 1466, 702, 220, 19, 21, 20, 17899, 323, 87546, 435, 74240, 220, 16, 19, 17, 8968, 13, 2585, 1657, 17899, 525, 2115, 382, 15481, 60, 220, 18, 17, 18, 271, 18483, 60, 220, 18, 18, 17, 271, 12447, 60, 220, 17, 18, 18, 271, 18, 13, 220, 16, 11, 20, 11, 22, 11, 24, 11, 16, 16, 11, 220, 16, 18, 11, 220, 16, 20, 11, 220, 16, 22, 646, 387, 13862, 311, 438, 458, 1304, 3979, 1372, 382, 15481, 60, 1550, 271, 18483, 60, 10322, 271, 12447, 60, 1496, 271, 19, 13, 9043, 7739, 323, 62260, 646, 387, 5326, 438, 1304, 3979, 382, 15481, 60, 220, 17, 16, 19, 271, 18483, 60, 220, 17, 19, 16, 271, 12447, 60, 220, 19, 17, 16, 271, 20, 13, 2585, 1657, 220, 18, 748, 525, 304, 220, 16, 17, 1939, 15481, 60, 220, 16, 15, 271, 18483, 60, 220, 17, 271, 12447, 60, 220, 19, 271, 21, 13, 15920, 315, 419, 374, 458, 1496, 1372, 1939, 15481, 60, 220, 17, 11, 220, 19, 11, 220, 21, 11, 220, 23, 271, 18483, 60, 220, 19, 11, 220, 18, 11, 220, 17, 11, 220, 16, 271, 12447, 60, 220, 23, 11, 220, 16, 11, 220, 20, 11, 220, 18, 11, 220, 17, 271, 22, 13, 220, 21, 220, 23, 220, 24, 13352, 369, 271, 15481, 60, 11499, 271, 18483, 60, 22008, 271, 12447, 60, 8153, 271, 23, 13, 9645, 220, 17, 18, 19, 304, 17183, 1352, 382, 15481, 60, 220, 17, 15, 15, 488, 220, 18, 15, 15, 488, 220, 19, 271, 18483, 60, 220, 17, 15, 15, 488, 220, 18, 15, 488, 220, 19, 271, 12447, 60, 220, 17, 15, 15, 488, 220, 18, 488, 220, 19, 15, 271, 24, 13, 7379, 279, 1985, 315, 220, 18, 18, 323, 220, 17, 382, 15481, 60, 220, 22, 22, 271, 18483, 60, 220, 23, 23, 271, 12447, 60, 220, 21, 21, 271, 16, 15, 13, 362, 20403, 374, 1304, 3979, 382, 15481, 60, 220, 16, 17, 271, 18483, 60, 220, 16, 19, 271, 12447, 60, 220, 17, 19, 271, 16, 16, 13, 220, 18, 220, 17, 220, 16, 4102, 488, 220, 16, 220, 19, 220, 17, 271, 15481, 60, 220, 18, 19, 21, 271, 18483, 60, 220, 19, 21, 18, 271, 12447, 60, 220, 21, 19, 18, 271, 16, 17, 13, 220, 24, 220, 19, 220, 21, 1365, 220, 16, 220, 17, 220, 19, 271, 15481, 60, 220, 17, 16, 17, 271, 18483, 60, 220, 17, 19, 23, 271, 12447, 60, 220, 23, 17, 17, 271, 16, 18, 13, 220, 17, 18, 488, 1304, 3979, 284, 220, 20, 18, 271, 15481, 60, 220, 19, 15, 271, 18483, 60, 220, 20, 15, 271, 12447, 60, 220, 18, 15, 271, 16, 19, 13, 220, 21, 22, 1365, 220, 19, 23, 79483, 15481, 60, 220, 19, 24, 271, 18483, 60, 220, 16, 16, 20, 271, 12447, 60, 220, 16, 24, 271, 16, 20, 13, 220, 18, 17, 856, 220, 17, 271, 15481, 60, 220, 20, 19, 271, 18483, 60, 220, 22, 19, 271, 12447, 60, 220, 21, 19, 271, 58778, 425, 1365, 43517, 678, 4755, 271, 16, 13, 2691, 705, 1493, 448, 9664, 271, 64, 13, 4102, 220, 17, 15, 488, 220, 19, 271, 65, 13, 220, 16, 15, 488, 220, 23, 271, 66, 13, 220, 19, 19, 15, 488, 220, 18, 271, 67, 13, 220, 17, 17, 15, 488, 220, 21, 271, 17, 13, 3719, 26425, 315, 2326, 15723, 1372, 382, 64, 13, 472, 350, 547, 4102, 75620, 32045, 293, 13, 472, 350, 547, 271, 21, 220, 24, 220, 23, 4102, 75620, 75620, 220, 4102, 23, 220, 19, 220, 22, 271, 4142, 220, 20, 220, 18, 220, 18, 4102, 75620, 32045, 17091, 220, 4102, 4142, 220, 17, 220, 19, 220, 21, 271, 66, 13, 472, 350, 547, 4102, 75620, 32045, 220, 4102, 67, 13, 472, 350, 547, 271, 19, 220, 19, 220, 21, 4102, 75620, 75620, 17091, 220, 20, 220, 19, 220, 24, 271, 4142, 220, 17, 220, 16, 220, 21, 4102, 75620, 75620, 1365, 220, 17, 220, 17, 220, 17, 271, 18, 64, 13, 9645, 700, 10322, 1372, 504, 220, 16, 311, 220, 18, 24, 271, 65, 13, 9645, 700, 1496, 1372, 504, 220, 17, 311, 220, 19, 15, 271, 19, 64, 13, 71059, 1493, 271, 64, 13, 220, 16, 220, 15, 856, 220, 17, 271, 65, 13, 220, 18, 220, 15, 856, 220, 18, 271, 66, 13, 220, 19, 220, 18, 856, 220, 17, 271, 67, 13, 220, 16, 220, 21, 856, 220, 17, 271, 20, 13, 9645, 279, 897, 315, 1817, 1212, 15121, 15723, 382, 64, 13, 220, 19, 220, 24, 220, 21, 271, 65, 13, 220, 17, 220, 19, 220, 17, 271, 66, 13, 220, 24, 220, 21, 220, 24, 271, 21, 13, 2585, 1657, 220, 19, 82, 304, 220, 16, 21, 1939, 66, 13, 2585, 1657, 220, 17, 82, 304, 220, 17, 15, 1939, 67, 13, 2585, 1657, 220, 20, 82, 304, 220, 16, 20, 30 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 52969, 40894, 1369, 2926, 13, 4149, 5379, 1369, 7542, 2926, 13, 4149, 271, 14374, 29098, 42152, 25, 1597, 11, 2521, 11, 2362, 7202, 11, 2806, 271, 13874, 3989, 1916, 25, 220, 15, 21, 14, 16, 15, 14, 17, 15, 15, 16, 518, 220, 17, 17, 25, 15, 23, 25, 16, 20, 198, 3830, 25, 28556, 198, 13019, 25, 29098, 42152, 271, 40, 614, 6966, 304, 279, 55085, 911, 1246, 311, 653, 8046, 12632, 11, 323, 432, 198, 53660, 3171, 944, 10339, 476, 1473, 1246, 311, 653, 432, 13, 2980, 498, 4486, 2551, 198, 2660, 458, 16148, 323, 1045, 10295, 1939, 50, 86091, 345, 72749, 198, 13874, 19324, 13874, 3989, 1916, 25, 220, 15, 21, 14, 16, 16, 14, 17, 15, 15, 16, 518, 220, 16, 22, 25, 18, 24, 25, 16, 18, 198, 3830, 25, 18635, 18528, 198, 13019, 25, 1032, 25, 29098, 42152, 271, 13048, 28556, 3554, 12658, 369, 4378, 311, 20437, 2926, 13, 4149, 382, 37438, 30568, 11, 8046, 12632, 2138, 498, 311, 15442, 1449, 13038, 369, 198, 64, 2661, 12218, 5114, 13, 8886, 315, 279, 6770, 7525, 320, 437, 11, 476, 345, 6383, 550, 11, 537, 8, 702, 264, 8046, 1965, 5815, 448, 432, 382, 785, 29589, 1616, 311, 10339, 374, 1526, 10295, 13, 6771, 594, 1352, 279, 8046, 198, 32110, 369, 279, 738, 315, 7525, 358, 10007, 3403, 11, 323, 1221, 1936, 264, 198, 58577, 1965, 369, 458, 3110, 12218, 5114, 382, 13314, 220, 16, 25, 3968, 79, 220, 320, 1921, 281, 692, 1654, 1172, 614, 825, 12218, 3890, 11, 281, 11, 892, 646, 2987, 387, 830, 476, 895, 624, 785, 1156, 3250, 315, 279, 8046, 1965, 686, 6644, 678, 3204, 2750, 198, 1055, 281, 13, 220, 576, 2086, 3250, 686, 2968, 279, 8311, 897, 369, 3968, 79, 382, 79, 220, 760, 220, 3968, 79, 198, 25910, 51, 220, 760, 256, 434, 198, 37, 220, 760, 256, 350, 271, 4792, 374, 279, 8046, 1965, 13, 1096, 572, 264, 5020, 4285, 825, 11, 2474, 432, 1172, 198, 14057, 8731, 825, 12218, 3890, 382, 13314, 220, 17, 25, 281, 61, 80, 220, 320, 79, 323, 2804, 692, 7039, 1052, 525, 1378, 12218, 7332, 11, 281, 323, 2804, 26, 8916, 11, 1039, 8046, 1965, 198, 14387, 614, 220, 19, 6978, 11, 2474, 1052, 525, 3040, 3204, 27804, 315, 281, 323, 198, 80, 13, 758, 4586, 11, 421, 1052, 525, 308, 12218, 12239, 6398, 11, 1052, 686, 387, 198, 17, 86167, 6978, 304, 279, 8046, 1965, 382, 79, 220, 2804, 220, 760, 220, 281, 61, 80, 198, 44955, 51, 220, 350, 220, 760, 256, 350, 198, 51, 220, 434, 220, 760, 256, 434, 198, 37, 220, 350, 220, 760, 256, 434, 198, 37, 220, 434, 220, 760, 256, 434, 271, 4416, 582, 1490, 429, 281, 61, 80, 374, 1172, 350, 421, 2176, 281, 323, 2804, 525, 350, 481, 432, 3643, 5530, 382, 13314, 220, 18, 25, 281, 4739, 80, 220, 320, 79, 476, 2804, 692, 79, 220, 2804, 220, 760, 220, 281, 4739, 80, 198, 62732, 51, 220, 350, 220, 760, 256, 350, 198, 51, 220, 434, 220, 760, 256, 350, 198, 37, 220, 350, 220, 760, 256, 350, 198, 37, 220, 434, 220, 760, 256, 434, 271, 1654, 1490, 429, 281, 4739, 80, 374, 1172, 434, 421, 2176, 281, 323, 2804, 525, 434, 382, 13314, 220, 19, 25, 281, 405, 80, 220, 320, 79, 23945, 2804, 692, 79, 220, 2804, 220, 760, 220, 281, 405, 80, 198, 62732, 51, 220, 350, 220, 760, 256, 350, 198, 51, 220, 434, 220, 760, 256, 434, 198, 37, 220, 350, 220, 760, 256, 350, 198, 37, 220, 434, 220, 760, 256, 350, 271, 7039, 1077, 594, 653, 264, 803, 16965, 3110, 13, 6771, 594, 1281, 264, 8046, 1965, 369, 198, 1782, 12218, 5114, 3968, 79, 13268, 80, 4739, 81, 7731, 79, 220, 2804, 220, 435, 760, 3968, 79, 760, 2804, 4739, 81, 760, 3968, 79, 13268, 80, 4739, 81, 340, 1408, 6913, 51, 220, 350, 220, 350, 760, 220, 434, 760, 220, 350, 256, 760, 257, 434, 198, 51, 220, 350, 220, 434, 760, 220, 434, 760, 220, 350, 256, 760, 257, 434, 198, 51, 220, 434, 220, 350, 760, 220, 434, 760, 220, 350, 256, 760, 257, 434, 198, 51, 220, 434, 220, 434, 760, 220, 434, 760, 220, 434, 256, 760, 257, 434, 198, 37, 220, 350, 220, 350, 760, 220, 350, 760, 220, 350, 256, 760, 257, 350, 198, 37, 220, 350, 220, 434, 760, 220, 350, 760, 220, 350, 256, 760, 257, 350, 198, 37, 220, 434, 220, 350, 760, 220, 350, 760, 220, 350, 256, 760, 257, 350, 198, 37, 220, 434, 220, 434, 760, 220, 350, 760, 220, 434, 256, 760, 257, 434, 271, 2121, 279, 1537, 3250, 4933, 11, 419, 5114, 374, 830, 369, 2326, 700, 315, 279, 198, 67532, 3204, 8046, 5302, 315, 279, 12218, 7332, 382, 40, 3900, 419, 8609, 13, 1416, 498, 2299, 2058, 15700, 11, 4486, 2666, 1910, 311, 3270, 198, 1419, 382, 12, 18635, 18528, 11, 576, 4149, 17538, 198, 1254, 1110, 10374, 22585, 2659, 48054, 21617, 5894, 13874, 3989, 52969, 40894, 510, 11976, 6022, 36101, 271, 5890, 279, 2926, 13, 4149, 11635, 1447, 7379, 3589, 8482, 320, 628, 12621, 1948, 20844, 1648, 17091, 9189, 1172, 3055, 369, 10596, 3059, 25, 508, 22201, 330, 66633, 4244, 1, 979, 15039, 369, 264, 3409, 1075, 4231, 24719, 678, 20844, 11, 304, 894, 1973, 518, 3245, 825, 11, 429, 4734, 17133, 5479, 315, 4244, 4361, 4244, 271, 8890, 697, 1828, 3405, 311, 2926, 13, 4149, 198, 8815, 17538, 5379, 1369, 4149, 11635, 1369, 17251, 17207, 1369, 4149, 17538, 7542 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17536, 367, 271, 10268, 7542, 198, 8921, 3495, 32085, 367, 374, 279, 5461, 315, 279, 2750, 498, 1035, 633, 304, 30374, 458, 9342, 476, 9091, 6896, 279, 1852, 1616, 1657, 3039, 13, 758, 419, 10219, 315, 30193, 11, 582, 686, 2908, 1378, 4494, 13, 3776, 374, 264, 34776, 30193, 323, 279, 1008, 374, 264, 35972, 30193, 13, 47124, 938, 32085, 367, 1416, 498, 50149, 264, 16254, 220, 20, 15, 3039, 11, 498, 1035, 1720, 279, 16254, 311, 4399, 14629, 320, 263, 279, 5461, 8, 911, 220, 17, 20, 3039, 13, 4615, 24335, 374, 11247, 553, 279, 2701, 7271, 315, 34776, 30193, 25, 1416, 279, 18927, 315, 2393, 304, 825, 9091, 374, 281, 11, 323, 595, 374, 279, 2790, 1372, 315, 19080, 11, 1221, 60319, 374, 279, 3601, 1372, 315, 47088, 304, 279, 595, 19080, 13, 758, 279, 3403, 3110, 315, 84051, 279, 16254, 220, 20, 15, 3039, 11, 279, 462, 5760, 65, 2897, 315, 14629, 320, 5630, 288, 8, 374, 1380, 3719, 3696, 10607, 2750, 304, 279, 23606, 11, 582, 1477, 429, 284, 220, 17, 20, 66246, 25, 362, 2746, 374, 22447, 553, 264, 2781, 13, 3555, 374, 279, 1720, 64, 68605, 315, 20097, 264, 220, 21, 304, 220, 18, 15, 19080, 30, 97897, 25, 576, 18927, 315, 20097, 264, 220, 21, 304, 220, 16, 9091, 374, 323, 279, 1372, 315, 27373, 374, 595, 28, 18, 15, 8916, 11, 758, 4244, 11, 279, 2781, 1035, 1720, 320, 263, 279, 5461, 8, 311, 6502, 264, 220, 21, 4236, 3039, 304, 220, 18, 15, 27373, 13, 91002, 32085, 367, 1205, 686, 6979, 35972, 30193, 438, 11017, 25, 1416, 11, 304, 279, 1538, 315, 264, 6849, 1102, 11, 3311, 264, 11, 374, 311, 387, 3949, 323, 279, 18927, 315, 2393, 315, 429, 1538, 374, 281, 11, 1221, 1443, 374, 279, 35972, 30193, 13, 1416, 498, 1033, 311, 3695, 220, 16, 315, 220, 20, 15, 15, 435, 44090, 14403, 369, 264, 2766, 48835, 5802, 32882, 18, 17, 20, 13, 15, 15, 11, 1128, 1035, 387, 697, 35972, 30193, 30, 758, 419, 1142, 11, 279, 1985, 315, 279, 3311, 498, 2498, 311, 3164, 323, 279, 18927, 315, 10987, 374, 1380, 264, 284, 3311, 498, 2498, 311, 3164, 281, 284, 18927, 315, 2393, 323, 5005, 11, 553, 48968, 14301, 11, 498, 1035, 537, 1366, 311, 2291, 803, 1091, 220, 21, 20, 30191, 369, 279, 11727, 11, 7241, 11, 315, 3308, 279, 435, 44090, 1033, 369, 264, 27290, 5240, 13, 66246, 25, 2014, 1197, 558, 279, 584, 311, 2725, 304, 862, 2225, 5760, 478, 11, 61294, 1200, 5600, 63890, 82, 702, 8900, 264, 21882, 315, 32882, 17, 11, 15, 15, 15, 311, 220, 16, 26618, 4091, 2997, 700, 315, 279, 1156, 220, 16, 11, 15, 15, 15, 8521, 429, 1346, 49043, 8442, 349, 304, 279, 84976, 594, 7216, 13, 220, 16, 13, 3555, 1035, 387, 1817, 2997, 594, 35972, 30193, 30, 220, 17, 13, 18885, 432, 387, 47676, 369, 279, 11935, 2997, 311, 8329, 32882, 18, 13, 15, 15, 304, 45495, 311, 6541, 311, 61294, 1200, 5600, 63890, 82, 311, 1896, 279, 7216, 30, 97897, 25, 220, 16, 13, 220, 17, 13, 2308, 26, 2474, 32882, 18, 13, 15, 15, 374, 32882, 16, 13, 15, 15, 916, 862, 30193, 315, 32882, 17, 13, 15, 15, 11, 432, 1035, 537, 387, 47676, 369, 279, 11935, 2997, 311, 1896, 279, 7216, 13, 393, 50411, 5487, 5308, 33497, 4826, 25, 220, 16, 13, 362, 3745, 5610, 220, 22, 67654, 315, 5567, 11, 1817, 48826, 21303, 13, 362, 3743, 3643, 264, 2790, 315, 220, 20, 15, 26643, 11, 13451, 279, 14764, 21134, 1283, 1817, 4038, 13, 264, 13, 3555, 374, 279, 18927, 315, 13330, 264, 4091, 48826, 21134, 304, 220, 16, 13330, 30, 293, 13, 2585, 1657, 3039, 1035, 279, 3743, 1720, 311, 4038, 279, 3175, 4091, 48826, 21134, 304, 279, 220, 20, 15, 26643, 30, 220, 17, 13, 758, 264, 13632, 2385, 726, 22346, 16129, 4221, 3040, 6584, 31415, 4217, 11, 279, 21882, 3220, 374, 32882, 20, 15, 15, 11, 15, 15, 15, 13, 12846, 1200, 4972, 11, 825, 315, 279, 31415, 4217, 11, 12396, 806, 18927, 315, 10987, 374, 220, 15, 13, 17, 15, 13, 264, 13, 3555, 374, 806, 35972, 30193, 30, 293, 13, 18885, 566, 387, 2664, 1007, 421, 566, 1865, 264, 6234, 9128, 448, 279, 1008, 31415, 4217, 311, 21749, 279, 21882, 3220, 41047, 15484, 315, 879, 14816, 30, 96704, 4321, 25, 220, 17, 13, 264, 13, 32882, 16, 15, 15, 11, 15, 15, 15, 293, 13, 7414, 26, 566, 1035, 387, 2664, 1007, 11, 2474, 566, 1035, 1281, 32882, 16, 17, 20, 11, 15, 15, 15, 11, 892, 374, 7046, 1091, 806, 30193, 315, 32882, 16, 15, 15, 11, 15, 15, 15, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 14803, 271, 40, 55088, 271, 623, 50768, 748, 56204, 11, 476, 794, 50768, 748, 14806, 11, 6696, 458, 96254, 14212, 56204, 311, 279, 52962, 729, 304, 3793, 315, 35156, 5746, 382, 8636, 271, 35338, 400, 77, 0, 3, 369, 400, 77, 1124, 258, 1124, 10374, 6066, 90, 45, 31716, 438, 13475, 553, 50262, 25, 400, 15, 0, 284, 220, 16, 3, 323, 4930, 77, 10, 16, 41295, 284, 320, 77, 10, 16, 8, 1124, 50853, 308, 0, 12947, 794, 50768, 748, 56204, 2727, 271, 71511, 0, 1124, 14781, 1124, 37018, 91362, 86167, 1124, 26888, 90, 17, 59, 2493, 308, 3417, 90, 68, 86167, 31716, 271, 269, 304, 1008, 4244, 429, 271, 58736, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 11035, 26, 1124, 37018, 91362, 86167, 1124, 26888, 90, 17, 59, 2493, 308, 3417, 90, 68, 86167, 1124, 50853, 308, 0, 92, 284, 220, 16, 2418, 271, 31076, 271, 8441, 77159, 525, 3881, 13, 576, 2701, 374, 8791, 311, 4446, 700, 279, 7565, 23938, 5270, 1948, 419, 14806, 323, 279, 11245, 48568, 25098, 9569, 271, 58736, 396, 15159, 30529, 258, 36958, 92, 24884, 258, 36958, 384, 87210, 87, 61, 17, 11035, 26, 294, 856, 284, 1124, 26888, 35702, 2493, 2137, 66426, 269, 43454, 4402, 271, 58736, 396, 15159, 30529, 258, 36958, 92, 24884, 258, 36958, 384, 87210, 87, 61, 17, 14, 17, 11035, 26, 294, 856, 284, 1124, 26888, 90, 17, 59, 2493, 92, 2418, 271, 5338, 582, 5695, 458, 35156, 2097, 11, 15614, 311, 264, 5458, 315, 35156, 82668, 382, 2008, 2113, 271, 2461, 1045, 6783, 400, 34, 3, 3554, 71511, 0, 1124, 14781, 356, 59, 37018, 91362, 86167, 1124, 26888, 91362, 3417, 90, 68, 86167, 92, 2418, 271, 31076, 271, 37175, 264, 489, 2027, 89, 70816, 2629, 16045, 30, 369, 279, 25098, 271, 68700, 1089, 284, 1124, 396, 62, 16, 86167, 1124, 839, 856, 59, 26, 13822, 284, 1124, 2359, 13, 856, 59, 839, 856, 481, 856, 59, 1291, 91, 62, 16, 86167, 284, 308, 1124, 839, 308, 481, 308, 488, 220, 16, 284, 220, 16, 488, 1124, 839, 1124, 37018, 91362, 86167, 15170, 68, 86167, 92, 2418, 271, 49978, 287, 279, 9873, 400, 58, 16, 11, 308, 94280, 1119, 1186, 396, 42198, 315, 4982, 3084, 11, 279, 12159, 489, 2027, 89, 70816, 2629, 374, 271, 3, 51, 1089, 284, 1124, 37018, 35702, 839, 220, 16, 488, 1124, 839, 220, 17, 15170, 17, 92, 488, 1124, 37018, 35702, 839, 220, 17, 488, 1124, 839, 220, 18, 15170, 17, 92, 488, 1124, 4385, 2412, 488, 1124, 37018, 35702, 839, 320, 77, 12, 16, 8, 488, 1124, 839, 308, 15170, 17, 92, 284, 1124, 839, 320, 77, 16315, 481, 1124, 37018, 16, 90, 17, 92, 1124, 839, 308, 284, 1124, 839, 1124, 37018, 91362, 0, 15170, 59, 26888, 91362, 3417, 2418, 271, 3, 51, 1089, 3, 1212, 477, 47471, 400, 40, 1089, 3, 1576, 279, 4771, 315, 57960, 839, 3, 374, 1036, 40446, 523, 1495, 854, 320, 56765, 400, 30529, 839, 856, 3, 374, 264, 65930, 729, 568, 758, 1008, 4244, 11, 279, 1465, 3793, 271, 58736, 396, 4698, 47822, 74, 10, 16, 92, 1124, 839, 856, 59, 26, 13822, 481, 1124, 37018, 35702, 839, 595, 488, 1124, 839, 320, 74, 10, 16, 9139, 90, 17, 92, 1124, 80, 31610, 320, 16, 15087, 271, 546, 6785, 11, 773, 429, 279, 2629, 315, 1493, 1465, 3793, 504, 400, 74, 28, 16, 3, 311, 400, 77, 12, 16, 54876, 892, 374, 400, 40, 1089, 481, 350, 1089, 54876, 12703, 448, 400, 77, 12947, 4354, 11, 1667, 279, 1465, 4647, 16045, 369, 279, 489, 2027, 89, 70816, 5912, 11, 279, 4647, 320, 16, 8, 374, 389, 279, 1973, 315, 400, 16, 14109, 61, 17, 3, 320, 1782, 7192, 897, 315, 400, 91, 11520, 839, 8, 4605, 7, 87, 17935, 284, 220, 16, 10776, 61, 17, 3, 916, 400, 58, 74, 11, 595, 10, 16, 94280, 568, 8704, 57960, 1242, 220, 16, 14109, 61, 17, 3, 19313, 4188, 11, 582, 1490, 429, 279, 7703, 8500, 400, 40, 1089, 481, 350, 1089, 3, 702, 264, 13794, 8416, 6822, 323, 8916, 264, 3930, 13, 31040, 279, 3930, 271, 58736, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 320, 40, 1089, 481, 220, 16, 8, 481, 350, 1089, 284, 1124, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 1124, 839, 1124, 37018, 91362, 86167, 15170, 68, 86167, 92, 481, 1124, 839, 1124, 37018, 91362, 0, 15170, 59, 26888, 91362, 3417, 284, 1124, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 1124, 839, 1124, 37018, 91362, 86167, 1124, 26888, 91362, 3417, 90, 68, 86167, 1124, 50853, 308, 0, 31716, 271, 16304, 11, 323, 8916, 400, 77, 0, 1124, 14781, 356, 59, 37018, 91362, 86167, 1124, 26888, 91362, 3417, 90, 68, 86167, 31716, 369, 1045, 6783, 400, 34, 3, 382, 785, 2701, 18810, 3643, 5785, 311, 279, 57682, 729, 382, 45325, 271, 58736, 37018, 35702, 26888, 90, 17, 59, 2493, 3417, 90, 34, 92, 284, 1124, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 1124, 37018, 35702, 40457, 1445, 488, 1124, 37018, 16, 90, 17, 5410, 15170, 59, 40457, 1445, 8, 1124, 50853, 1124, 26888, 91362, 3417, 3, 26, 304, 3953, 11, 419, 3930, 6724, 382, 31076, 271, 3830, 400, 77, 0, 1124, 14781, 356, 59, 37018, 91362, 86167, 1124, 26888, 91362, 3417, 90, 68, 86167, 31716, 11, 582, 6707, 42430, 271, 58736, 37018, 96065, 17, 77, 41295, 15170, 77, 0, 1124, 50853, 308, 0, 92, 1124, 14781, 1124, 37018, 90, 17, 47822, 17, 77, 92, 1124, 26888, 90, 17, 77, 3417, 90, 34, 308, 31716, 271, 704, 429, 271, 58736, 37018, 16, 90, 34, 92, 1124, 14781, 1124, 37018, 96065, 17, 77, 41295, 15170, 17, 47822, 17, 77, 92, 308, 0, 1124, 50853, 308, 0, 92, 1124, 50853, 1124, 37018, 91362, 15170, 59, 26888, 90, 17, 77, 3417, 284, 1124, 37018, 96065, 17, 77, 12, 16, 2376, 17, 77, 12, 18, 8, 1124, 507, 2412, 220, 18, 1124, 50853, 220, 16, 15170, 17, 1124, 50853, 320, 17, 77, 12, 17, 2376, 17, 77, 12, 19, 8, 1124, 507, 2412, 220, 17, 92, 1124, 50853, 1124, 37018, 16, 35702, 26888, 90, 17, 77, 3417, 2418, 271, 12209, 11, 1667, 57960, 40457, 59, 2359, 11520, 37018, 16, 90, 17, 11035, 1291, 8, 284, 220, 17, 59, 396, 62, 15, 24884, 258, 36958, 384, 87210, 87, 61, 17, 92, 13822, 284, 1124, 26888, 35702, 2493, 31716, 11, 582, 614, 271, 58736, 37018, 35702, 26888, 90, 17, 59, 2493, 3417, 90, 34, 92, 1124, 14781, 1124, 37018, 96065, 17, 77, 12, 16, 2376, 17, 77, 12, 18, 8, 1124, 507, 2412, 220, 18, 1124, 50853, 220, 16, 15170, 17, 1124, 50853, 320, 17, 77, 12, 17, 2376, 17, 77, 12, 19, 8, 1124, 507, 2412, 220, 17, 92, 1124, 50853, 1124, 37018, 35702, 26888, 35702, 2493, 3417, 35702, 26888, 91362, 3417, 284, 1124, 37018, 35702, 2359, 1445, 30529, 37018, 16, 90, 17, 11035, 1291, 10699, 2359, 1445, 30529, 37018, 90, 18, 15170, 17, 11035, 1291, 8, 1124, 507, 2412, 1124, 2359, 11520, 37018, 16, 90, 17, 11035, 1291, 8, 1124, 40457, 59, 2359, 11520, 37018, 16, 90, 17, 11035, 1291, 9139, 96065, 77, 12, 16, 41295, 1124, 50853, 1124, 26888, 91362, 3417, 284, 1124, 37018, 35702, 40457, 59, 2359, 1445, 488, 1124, 37018, 16, 90, 17, 11035, 1291, 9139, 35702, 40457, 1445, 8, 1124, 50853, 1124, 26888, 91362, 3417, 2418, 271, 2008, 2113, 271, 58736, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 1124, 37018, 35702, 40457, 1445, 488, 1124, 37018, 16, 90, 17, 5410, 15170, 59, 40457, 1445, 8, 1124, 50853, 1124, 26888, 91362, 3417, 284, 220, 16, 3, 382, 31076, 271, 3830, 1487, 12, 12027, 327, 487, 315, 57960, 40457, 3, 320, 4060, 1588, 701, 582, 1231, 42430, 271, 58736, 37018, 35702, 40457, 2075, 30529, 37018, 16, 90, 17, 5410, 15170, 59, 40457, 2075, 481, 220, 16, 9139, 1124, 273, 80, 1124, 37018, 35702, 40457, 2075, 9139, 35702, 40457, 2075, 30529, 37018, 16, 90, 17, 5410, 92, 1124, 273, 80, 1124, 37018, 35702, 40457, 2075, 41715, 37018, 16, 90, 17, 5410, 15170, 59, 40457, 2075, 9139, 66426, 8206, 23945, 429, 279, 2750, 315, 57960, 37018, 35702, 40457, 2075, 41715, 37018, 16, 90, 17, 5410, 15170, 59, 40457, 2075, 8, 1124, 50853, 1124, 26888, 45340, 3417, 54876, 448, 400, 87, 3, 23994, 916, 4279, 20052, 67592, 11, 8376, 311, 279, 1852, 3930, 400, 43, 3, 438, 448, 400, 87, 3, 23994, 916, 4361, 25780, 13, 15277, 271, 89891, 61, 17, 284, 1124, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 1124, 37018, 35702, 40457, 1445, 10, 16, 9139, 35702, 26888, 91362, 41715, 37018, 16, 90, 17, 3417, 59, 50853, 1124, 40457, 1445, 488, 1124, 37018, 16, 90, 17, 5410, 92, 1124, 50853, 1124, 37018, 35702, 40457, 1445, 488, 1124, 37018, 16, 90, 17, 5410, 15170, 59, 26888, 91362, 11035, 40457, 1445, 9139, 284, 1124, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 1124, 37018, 91362, 59, 40457, 1445, 9139, 35702, 26888, 96065, 77, 41715, 37018, 16, 90, 17, 5410, 77, 11035, 50853, 1124, 40457, 1445, 9139, 284, 1124, 31009, 295, 91362, 1124, 983, 1124, 258, 36958, 15170, 59, 4659, 92, 1124, 37018, 91362, 15170, 59, 26888, 96065, 77, 41715, 37018, 16, 90, 17, 5410, 77, 38154, 66426, 1312, 763, 400, 43, 61, 17, 284, 220, 16, 54876, 323, 8916, 400, 43, 284, 220, 16, 3, 382, 31712, 271, 6667, 308, 12, 6746, 65671, 1736, 271, 6667, 11563, 11774, 1579, 11, 794, 50768, 748, 43819, 5465, 369, 308, 35575, 279, 28850, 10698, 36991, 12622, 576, 3693, 91002, 44334, 20265, 220, 16, 15, 22, 25226, 220, 21, 320, 17, 15, 15, 15, 701, 220, 20, 20, 21, 12, 20, 20, 22, 13, 35895, 2659, 14, 16, 15, 13, 16, 15, 23, 15, 14, 15, 15, 15, 17, 24, 23, 24, 15, 13, 17, 15, 15, 15, 13, 16, 17, 15, 15, 20, 17, 18, 20, 271, 5842, 31728, 389, 5813, 220, 16, 17, 11, 220, 17, 15, 17, 19, 518, 220, 17, 17, 25, 17, 19, 25, 18, 20, 13, 3496, 279, 3840, 315, 419, 2150, 369, 264, 1140, 315, 678, 19026, 311, 432, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6888, 271, 43082, 553, 6762, 1072, 57017, 7437, 87, 2687, 20014, 1786, 436, 87, 18083, 1818, 89, 5185, 7437, 87, 1786, 436, 87, 438, 264, 4361, 374, 304, 279, 46912, 15514, 6667, 6888, 21974, 810, 279, 1661, 2310, 74762, 5912, 1447, 333, 379, 284, 575, 5457, 11, 379, 6, 284, 320, 84, 6, 85, 481, 29663, 863, 14, 85, 61, 17, 271, 84, 284, 7437, 87, 198, 85, 284, 7437, 87, 481, 7960, 87, 271, 88, 6, 284, 17826, 9407, 87, 2376, 15940, 87, 1786, 436, 87, 8, 481, 320, 15940, 87, 2376, 9407, 87, 10, 15940, 87, 7252, 11884, 15940, 87, 1786, 436, 87, 29776, 17, 271, 9330, 646, 1486, 448, 429, 1045, 11, 714, 358, 1075, 271, 16, 11884, 15940, 7, 17, 87, 7287, 16, 692, 565, 21476, 23382, 271, 16, 13, 16600, 4149, 271, 32627, 279, 9569, 659, 320, 66, 2388, 55, 1786, 354, 55, 29776, 17, 28, 16, 1786, 436, 55, 14, 16, 10, 9407, 55, 32671, 62, 14589, 600, 16464, 1492, 498, 320, 66, 2388, 55, 1786, 354, 55, 11730, 16, 2687, 258, 55, 481, 7960, 55, 2687, 258, 55, 284, 320, 16, 1786, 436, 55, 5620, 15940, 55, 1416, 498, 9334, 419, 498, 614, 320, 16, 1786, 436, 55, 29776, 17, 11884, 15940, 55, 29776, 17, 4695, 990, 320, 15940, 55, 29776, 17, 284, 220, 16, 481, 320, 9407, 55, 29776, 17, 311, 633, 320, 16, 1786, 436, 55, 29776, 17, 608, 220, 16, 481, 4593, 198, 17, 13, 16600, 4968, 7658, 16927, 271, 1282, 73881, 23375, 5223, 10499, 1298, 586, 25, 320, 52591, 87, 488, 5701, 87, 481, 16, 24254, 52591, 87, 481, 5701, 87, 488, 220, 16, 11730, 14197, 87, 488, 5701, 87, 3017, 975, 773, 3041, 25, 320, 15940, 87, 2899, 436, 87, 488, 220, 16, 2899, 436, 87, 488, 7960, 87, 2899, 436, 87, 24254, 15940, 87, 2899, 436, 856, 481, 220, 16, 2899, 436, 87, 488, 7960, 87, 2899, 436, 87, 11730, 14197, 87, 488, 7960, 87, 320, 4250, 3238, 389, 279, 2115, 3108, 8, 1781, 15940, 87, 488, 220, 16, 481, 7960, 87, 5620, 9407, 87, 5620, 1188, 15940, 87, 4593, 198, 18, 13, 16600, 1163, 73881, 6988, 382, 7, 14197, 87, 14, 16, 1786, 354, 87, 873, 10, 320, 64498, 87, 14, 16, 2385, 276, 87, 11730, 320, 16, 10, 5024, 8148, 2388, 87, 8, 7684, 825, 0, 43393, 1493, 525, 2814, 553, 10018, 4297, 311, 274, 1543, 323, 7960, 1543, 11, 7241, 498, 1490, 1045, 8036, 39421, 13, 7281, 8789, 11, 432, 374, 1850, 311, 1191, 448, 279, 803, 16965, 3108, 4593, 198, 19, 13, 16600, 1163, 343, 1934, 20225, 40, 1184, 311, 12118, 429, 279, 2701, 374, 830, 13, 11114, 320, 9407, 87, 608, 220, 16, 1331, 20014, 873, 284, 320, 220, 16, 10, 15940, 87, 608, 7960, 87, 873, 358, 19091, 419, 3405, 14381, 678, 12829, 315, 5322, 979, 358, 572, 2058, 12629, 13, 432, 7460, 264, 2632, 330, 376, 865, 1, 444, 808, 13, 284, 9407, 87, 11884, 16, 1331, 20014, 8, 30270, 1909, 323, 4593, 198, 20, 13, 16600, 49795, 481, 1163, 73881, 23375, 5223, 10499, 271, 1336, 586, 25, 320, 52591, 87, 2376, 15940, 87, 8, 608, 320, 52591, 87, 8, 488, 320, 15940, 87, 8, 284, 320, 52591, 87, 8, 481, 320, 15940, 87, 8, 608, 320, 52591, 87, 2376, 15940, 87, 8, 3555, 358, 614, 773, 3041, 25, 444, 808, 13, 284, 320, 15940, 87, 608, 7960, 87, 8, 7437, 87, 608, 320, 15940, 87, 608, 7960, 87, 8, 488, 7437, 87, 284, 320, 15940, 61, 17, 87, 608, 7960, 87, 8, 608, 320, 15940, 87, 488, 320, 15940, 87, 8, 320, 9407, 87, 8, 608, 7960, 87, 8, 284, 320, 15940, 61, 17, 87, 608, 7960, 87, 8, 608, 320, 9407, 87, 608, 7437, 87, 488, 7437, 8148, 436, 87, 340, 21, 13, 16600, 4149, 481, 4968, 12, 2435, 580, 271, 1336, 586, 429, 1817, 315, 1493, 37906, 374, 458, 9569, 13, 362, 8, 320, 16, 488, 7437, 87, 488, 7960, 856, 24254, 16, 488, 7437, 87, 488, 7960, 87, 73173, 16, 488, 7960, 87, 5620, 15940, 87, 425, 8, 320, 16, 488, 7437, 87, 488, 7960, 87, 24254, 16, 481, 7437, 87, 488, 7960, 87, 11730, 320, 16, 488, 7437, 856, 5620, 9407, 87, 5209, 323, 1091, 7891, 283, 4894, 22, 13, 16600, 70708, 481, 52933, 263, 6988, 271, 40, 3003, 4588, 911, 419, 1852, 3405, 1573, 11, 323, 4325, 6551, 752, 279, 1616, 311, 6248, 11, 892, 358, 3535, 311, 1045, 12818, 13, 358, 1184, 1492, 47209, 700, 1128, 807, 1521, 304, 279, 2086, 3019, 3498, 13, 2585, 807, 2684, 311, 279, 4843, 3019, 504, 279, 2086, 13, 4593, 198, 23, 13, 16600, 1163, 73881, 6988, 4248, 271, 50, 70206, 671, 18, 25, 508, 9407, 87, 1331, 258, 7, 24, 15, 6558, 8, 15940, 87, 9769, 58, 9407, 87, 1786, 436, 7, 16, 23, 15, 6558, 8, 52591, 87, 60, 284, 508, 9407, 87, 8013, 15940, 24, 15, 9407, 87, 1786, 436, 24, 15, 15940, 87, 8, 15940, 87, 9769, 58, 9407, 87, 8013, 9407, 16, 23, 15, 9407, 87, 10, 15940, 87, 16, 23, 15, 15940, 87, 8, 52591, 87, 60, 284, 508, 9407, 87, 12, 1188, 16, 8, 9407, 87, 8013, 15, 8, 15940, 87, 8, 15940, 87, 9769, 58, 9407, 87, 12, 54934, 16, 8, 9407, 87, 13362, 15, 8, 15940, 87, 8, 52591, 87, 60, 284, 508, 9407, 87, 1786, 436, 87, 15940, 87, 9769, 58, 9407, 87, 10, 9407, 2252, 276, 87, 60, 284, 508, 9407, 87, 7, 16, 1331, 20014, 9769, 58, 9407, 87, 7, 16, 41701, 276, 87, 60, 4593, 198, 24, 13, 16600, 4149, 271, 1427, 2167, 19962, 448, 1493, 38758, 39421, 5322, 646, 18079, 4486, 1473, 752, 1246, 311, 653, 1493, 5267, 16, 15, 13, 16600, 52933, 263, 6988, 271, 4814, 600, 990, 2097, 5503, 311, 39721, 419, 52933, 9569, 1939, 7661, 21476, 23382 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5842, 6049, 1447, 2, 18030, 292, 52539, 36028, 271, 3838, 374, 264, 40899, 22962, 30, 4340, 311, 990, 279, 40899, 22962, 29952, 4340, 311, 11047, 279, 40899, 20044, 315, 264, 3745, 476, 3550, 54932, 82, 271, 2354, 279, 40899, 22962, 29952, 11, 498, 646, 5508, 894, 8123, 4982, 311, 40899, 20044, 13, 1913, 1909, 315, 429, 11, 498, 646, 1083, 11047, 279, 40899, 20044, 315, 264, 3745, 315, 264, 3881, 1379, 11, 15484, 315, 279, 3084, 8153, 498, 3003, 2684, 0, 1416, 498, 1366, 311, 5508, 504, 40899, 10482, 311, 40899, 20044, 11, 476, 5508, 40899, 20044, 311, 40899, 7541, 11, 476, 894, 1008, 10601, 11, 419, 374, 279, 25648, 323, 29589, 1616, 2219, 4416, 728, 8305, 323, 990, 279, 29952, 311, 11047, 40899, 20044, 323, 5508, 504, 323, 311, 40899, 20044, 11, 40899, 7541, 11, 323, 8820, 1008, 4982, 315, 8123, 498, 1366, 2219, 565, 3555, 374, 264, 40899, 22962, 1939, 5338, 2513, 1156, 11, 582, 1184, 311, 1281, 2704, 582, 678, 1414, 1128, 264, 40899, 22962, 374, 13, 362, 40899, 22962, 374, 279, 30548, 4982, 369, 8123, 13, 1084, 374, 279, 8036, 5754, 369, 8123, 11, 2661, 429, 279, 8123, 374, 279, 220, 18, 35, 3550, 4429, 705, 553, 458, 1633, 13, 758, 2097, 11, 419, 374, 279, 11299, 15432, 979, 582, 1744, 911, 264, 3745, 13, 758, 429, 1142, 11, 279, 14806, 369, 1181, 8123, 1035, 387, 1447, 25060, 284, 3084, 24768, 2374, 24768, 2608, 271, 2679, 582, 990, 20044, 369, 3084, 11, 2374, 11, 323, 2608, 11, 432, 3643, 5530, 1221, 429, 279, 1590, 8153, 369, 8123, 1035, 387, 271, 59422, 24768, 22962, 24768, 22962, 284, 22962, 43201, 271, 4792, 374, 3170, 582, 990, 279, 40899, 22962, 323, 1181, 31805, 8153, 320, 66, 41181, 15045, 20408, 11, 40899, 2889, 25334, 11, 4992, 6138, 438, 279, 6489, 4982, 369, 8123, 13, 4354, 11, 432, 374, 537, 279, 1172, 825, 11, 323, 304, 7482, 1075, 279, 7279, 11, 279, 34279, 1849, 374, 803, 45841, 13, 758, 279, 34279, 1849, 11, 582, 1477, 8153, 1741, 438, 279, 40899, 17122, 11, 279, 40899, 14587, 11, 323, 11, 1429, 4428, 311, 40899, 20044, 11, 279, 40899, 4478, 382, 9952, 1075, 14063, 2155, 15459, 11, 1660, 2952, 311, 5508, 504, 40899, 20044, 311, 40899, 7541, 323, 1182, 504, 40899, 7541, 311, 40899, 20044, 374, 7565, 13, 758, 2097, 11, 279, 803, 8153, 582, 646, 5508, 504, 323, 311, 11, 279, 2664, 0, 13235, 582, 3960, 1246, 311, 11047, 40899, 20044, 504, 894, 1008, 4982, 11, 582, 1265, 1896, 264, 1401, 518, 1045, 315, 279, 4185, 39515, 17144, 1447, 6667, 18030, 292, 20044, 25, 296, 43201, 198, 6667, 18030, 292, 2889, 54236, 25, 9961, 43201, 11, 12527, 198, 6667, 18030, 292, 40568, 25, 13136, 43201, 198, 6667, 18030, 292, 7541, 14, 5334, 25, 6871, 10482, 11, 10482, 43201, 198, 6667, 18030, 292, 14924, 25, 6871, 304, 11, 304, 43201, 271, 565, 2585, 311, 990, 279, 40899, 22962, 29952, 271, 785, 40899, 22962, 29952, 646, 387, 3381, 315, 438, 3807, 5812, 2973, 304, 825, 13, 1084, 702, 1378, 1887, 19777, 25, 14409, 323, 21937, 11, 714, 807, 646, 1083, 387, 1483, 24303, 448, 1045, 27699, 5666, 13, 63964, 498, 653, 432, 12440, 11, 419, 29952, 646, 1447, 6667, 20517, 279, 40899, 20044, 315, 264, 3745, 280, 6667, 20517, 279, 40899, 7541, 315, 264, 3745, 280, 6667, 20517, 279, 40899, 14924, 315, 264, 3745, 280, 6667, 20517, 279, 40899, 2889, 54236, 315, 264, 3745, 280, 6667, 7169, 40899, 20044, 311, 40899, 7541, 280, 6667, 7169, 40899, 7541, 311, 40899, 20044, 320, 66, 41181, 10482, 311, 40899, 20044, 317, 6667, 7169, 40899, 14924, 311, 92866, 280, 6667, 7169, 50122, 311, 40899, 20044, 26, 323, 198, 6667, 4398, 2219, 13159, 421, 432, 5868, 1075, 279, 16724, 14409, 5392, 11, 419, 40899, 22962, 29952, 374, 1850, 31499, 369, 1112, 1632, 1112, 28117, 15860, 40899, 20044, 11, 3845, 71, 0, 1416, 498, 525, 3330, 369, 279, 16724, 88888, 11, 1779, 700, 279, 8123, 14409, 11, 279, 3082, 27058, 11, 323, 279, 6010, 27058, 11, 678, 15148, 5435, 311, 419, 825, 714, 10078, 803, 10735, 389, 10526, 14409, 382, 2132, 374, 1431, 882, 311, 1490, 1246, 311, 990, 279, 40899, 20044, 29952, 553, 85225, 36028, 311, 12564, 279, 8123, 315, 264, 3745, 1667, 894, 6514, 315, 8153, 1447, 16, 13, 8427, 279, 8153, 323, 1946, 279, 897, 369, 279, 3084, 624, 17, 13, 8427, 279, 8153, 323, 1946, 279, 897, 369, 279, 2374, 624, 18, 13, 8427, 279, 8153, 323, 1946, 279, 897, 369, 279, 2608, 624, 19, 13, 2411, 279, 5622, 315, 279, 29952, 11, 498, 686, 1490, 279, 12942, 8123, 304, 220, 17, 2155, 8153, 320, 1694, 1638, 11, 40899, 10482, 323, 40899, 20044, 568, 31733, 1910, 311, 2297, 421, 498, 1366, 311, 382, 2132, 594, 678, 79092, 323, 1602, 30339, 13, 1446, 646, 6514, 323, 2432, 8153, 438, 498, 1490, 4946, 11, 323, 279, 3059, 686, 2677, 387, 304, 279, 8153, 498, 5157, 11, 504, 6871, 10482, 311, 40899, 20044, 311, 50122, 476, 92866, 13, 1988, 582, 646, 1281, 432, 1496, 8661, 421, 498, 1513, 944, 1184, 311, 11047, 279, 40899, 20044, 323, 1101, 1366, 311, 5508, 8123, 11, 369, 3110, 11, 504, 40899, 7541, 311, 40899, 20044, 382, 2679, 498, 1366, 311, 990, 279, 40899, 20044, 29952, 438, 264, 8123, 27058, 11, 498, 614, 1496, 16745, 7354, 311, 1795, 1447, 16, 13, 75818, 279, 1909, 3772, 315, 279, 29952, 624, 17, 13, 576, 5043, 369, 2374, 11, 3084, 11, 323, 2608, 686, 387, 8177, 1576, 807, 525, 537, 4362, 624, 18, 13, 8427, 279, 4982, 498, 1366, 311, 1946, 323, 3725, 279, 897, 304, 279, 1909, 2070, 369, 8123, 624, 19, 13, 70150, 11, 279, 5392, 686, 11047, 279, 40899, 20044, 13578, 315, 279, 8123, 382, 2132, 1410, 537, 387, 8661, 0, 1446, 1513, 944, 1184, 311, 6099, 894, 14409, 9363, 11, 653, 894, 6888, 476, 3783, 13, 4599, 3293, 697, 4982, 11, 1946, 279, 897, 11, 323, 4669, 279, 1102, 2219, 565, 2585, 311, 11047, 279, 40899, 20044, 315, 264, 3745, 476, 3550, 271, 1, 39814, 11, 429, 594, 6915, 11, 714, 1246, 653, 498, 11047, 279, 40899, 20044, 315, 264, 3745, 7521, 1446, 2578, 387, 5488, 13, 10696, 498, 1513, 944, 1366, 311, 990, 1039, 11117, 29952, 13, 18765, 498, 1366, 279, 6540, 438, 264, 15725, 11, 476, 7196, 498, 2299, 20045, 369, 458, 7006, 13, 1205, 2765, 944, 11651, 26, 582, 1172, 1492, 0, 2055, 11, 421, 498, 1366, 311, 3960, 1246, 311, 11047, 279, 40899, 20044, 315, 264, 3745, 11, 1588, 374, 1246, 311, 653, 432, 1447, 16, 13, 11778, 279, 2750, 369, 697, 3745, 594, 3084, 11, 2374, 11, 323, 2608, 13, 1416, 3204, 11, 990, 20044, 382, 17, 13, 1416, 498, 8990, 944, 1483, 20044, 11, 5508, 1817, 315, 1105, 31299, 311, 20044, 382, 18, 13, 20552, 279, 8123, 14806, 369, 264, 3745, 1447, 25060, 284, 3084, 24768, 2374, 24768, 2608, 271, 19, 13, 4615, 3059, 1265, 1431, 387, 304, 40899, 20044, 13, 20552, 279, 14409, 8168, 421, 498, 1366, 2441, 4982, 382, 2121, 498, 646, 1490, 11, 432, 374, 537, 16965, 11, 714, 432, 374, 1184, 15740, 882, 69740, 979, 498, 614, 264, 6419, 5392, 1075, 419, 825, 11, 892, 582, 3465, 518, 85225, 36028, 382, 54932, 82, 271, 14374, 2585, 1657, 40899, 2889, 54236, 304, 264, 40899, 22962, 1939, 3862, 525, 220, 16, 11, 15, 15, 15, 11, 15, 15, 15, 40899, 2889, 54236, 304, 264, 40899, 22962, 13, 2014, 6099, 419, 11, 498, 646, 1744, 911, 33437, 20044, 311, 2889, 54236, 369, 1817, 315, 279, 2326, 15336, 25, 3084, 11, 2374, 11, 323, 2608, 13, 3776, 22962, 702, 220, 16, 15, 15, 9961, 11, 773, 84192, 429, 553, 5086, 2326, 3039, 11, 264, 296, 43201, 702, 220, 16, 11, 15, 15, 15, 11, 15, 15, 15, 4102, 6226, 43201, 382, 14374, 2585, 1657, 40899, 7541, 525, 304, 264, 40899, 22962, 1939, 3862, 525, 220, 18, 20, 13, 18, 16, 20, 40899, 7541, 304, 264, 40899, 22962, 13, 1200, 49417, 504, 40899, 20044, 311, 40899, 7541, 374, 279, 1852, 438, 33437, 504, 20044, 311, 7541, 369, 1817, 315, 279, 2326, 15336, 25, 3084, 11, 2374, 11, 323, 2608, 13, 3776, 22962, 702, 220, 18, 13, 17, 23, 16, 7541, 11, 773, 84192, 429, 553, 5086, 2326, 3039, 11, 825, 296, 43201, 702, 220, 18, 20, 13, 18, 16, 20, 4102, 66, 41181, 10482, 382, 14374, 2585, 1657, 92866, 304, 264, 40899, 22962, 1939, 3862, 525, 220, 16, 15, 15, 15, 92866, 304, 264, 40899, 22962, 13, 2014, 6099, 419, 11, 498, 646, 1744, 911, 40899, 1622, 54236, 323, 92866, 2474, 807, 525, 2176, 279, 1852, 1379, 13, 3776, 40899, 22962, 320, 76, 43201, 8, 374, 220, 16, 15, 15, 15, 4102, 13849, 43201, 11, 773, 2474, 92866, 323, 28676, 43201, 525, 279, 1852, 11, 1052, 525, 220, 16, 15, 15, 15, 4102, 31635, 388, 304, 264, 296, 43201, 382, 14374, 2585, 1657, 50122, 304, 264, 40899, 22962, 1939, 3862, 525, 220, 17, 21, 19, 13, 16, 22, 2274, 50122, 304, 220, 16, 40899, 22962, 11, 323, 1052, 525, 220, 17, 16, 24, 13, 24, 22, 6424, 50122, 304, 220, 16, 40899, 22962, 13, 1446, 646, 2736, 894, 14409, 504, 40899, 20044, 311, 50122, 553, 2701, 419, 11221, 1447, 16, 13, 7379, 700, 421, 498, 1366, 2274, 50122, 476, 6424, 50122, 624, 17, 13, 71059, 279, 1372, 315, 40899, 20044, 553, 279, 14409, 8168, 320, 17, 21, 19, 13, 16, 22, 369, 2274, 50122, 8, 323, 320, 17, 16, 24, 13, 24, 22, 369, 6424, 50122, 4292, 18, 13, 576, 1102, 686, 387, 13302, 304, 697, 11882, 4982, 382, 14374, 3555, 374, 40899, 22962, 1939, 32, 40899, 22962, 374, 264, 4982, 315, 18662, 429, 33210, 311, 279, 8123, 315, 264, 9334, 3745, 448, 220, 16, 22962, 23791, 11067, 13, 1096, 3363, 264, 2632, 916, 220, 18, 10482, 817, 3108, 13, 1446, 646, 11047, 279, 8123, 315, 1053, 3745, 553, 84192, 678, 2326, 15336, 3786, 1447, 16, 296, 24768, 220, 16, 296, 24768, 220, 16, 296, 284, 220, 16, 296, 43201, 271, 14037, 1616, 311, 50087, 264, 40899, 22962, 374, 311, 5508, 432, 311, 1008, 8153, 13, 3776, 40899, 22962, 374, 279, 1852, 438, 1447, 6667, 220, 16, 15, 15, 15, 92866, 280, 6667, 220, 17, 21, 19, 13, 16, 22, 2274, 50122, 26, 323, 198, 6667, 220, 18, 20, 13, 18, 17, 6871, 10482, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3555, 374, 67106, 315, 23550, 23754, 8420, 498, 686, 3960, 1128, 374, 18037, 315, 5746, 448, 5888, 323, 10295, 382, 10061, 748, 3161, 46796, 565, 3555, 374, 67106, 315, 23550, 23754, 10061, 282, 549, 362, 26107, 59, 19491, 14085, 425, 609, 342, 549, 282, 549, 425, 26107, 59, 19491, 14085, 356, 387, 1378, 5746, 13, 5005, 279, 729, 728, 69, 549, 282, 549, 362, 26107, 59, 19491, 14085, 356, 4512, 553, 320, 70, 1055, 2376, 87, 8, 284, 342, 955, 2075, 593, 26107, 59, 33629, 14085, 856, 26107, 59, 258, 14085, 362, 374, 2598, 279, 27714, 315, 279, 1378, 729, 282, 609, 342, 382, 565, 11831, 14512, 2877, 8, 758, 4586, 27714, 315, 5746, 374, 537, 1063, 332, 1388, 600, 1734, 13, 728, 69, 26107, 59, 811, 14085, 30249, 382, 1883, 8, 576, 18037, 315, 5746, 374, 68903, 600, 1734, 13, 421, 282, 11, 342, 11, 305, 525, 2326, 5746, 1741, 429, 11756, 3268, 2267, 8, 609, 320, 69, 538, 8, 2267, 525, 4512, 11, 1221, 11756, 3268, 2267, 8, 284, 320, 69, 538, 8, 2267, 382, 1337, 8, 576, 18037, 315, 1378, 22424, 37605, 374, 264, 22424, 11915, 600, 1734, 13, 421, 282, 609, 342, 525, 1378, 22424, 37605, 1741, 429, 728, 69, 374, 4512, 11, 1221, 728, 69, 374, 1083, 264, 22424, 11915, 382, 13314, 549, 1416, 282, 2075, 8, 284, 26107, 87, 61, 17, 14085, 488, 220, 16, 11, 342, 2075, 8, 284, 26107, 16, 59, 1975, 856, 12, 16, 14085, 11, 1221, 1477, 320, 69, 538, 2376, 87, 3593, 36842, 549, 4695, 320, 69, 538, 2376, 87, 8, 284, 282, 3268, 2075, 593, 284, 282, 699, 3, 16, 59, 1975, 856, 12, 16, 14085, 8, 284, 282, 13174, 701, 1380, 1147, 284, 26107, 16, 59, 1975, 856, 12, 16, 14085, 271, 28, 26107, 89, 61, 17, 488, 220, 16, 14085, 508, 26107, 59, 27653, 14085, 282, 2075, 8, 284, 26107, 87, 61, 17, 488, 220, 16, 14085, 10444, 28, 26107, 2306, 16, 59, 1975, 856, 12, 16, 5410, 61, 17, 14085, 488, 220, 16, 284, 26107, 16, 59, 1975, 32798, 87, 12, 16, 29776, 17, 92, 14085, 488, 220, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16, 13, 15585, 220, 18, 3228, 220, 16, 16, 1163, 73881, 23375, 23550, 198, 17, 13, 11215, 1973, 23335, 271, 3167, 1228, 271, 840, 220, 18, 13, 18, 11, 220, 17, 18, 1298, 586, 429, 14197, 51255, 126, 223, 14009, 19, 48245, 126, 251, 126, 239, 149397, 284, 320, 19, 14197, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 320, 16, 51255, 126, 230, 75151, 52591, 17, 48245, 126, 251, 126, 239, 149397, 8, 59374, 42476, 245, 24254, 16, 33218, 126, 230, 75151, 220, 21, 14197, 17, 51745, 126, 251, 126, 239, 149397, 10, 52591, 19, 51745, 126, 251, 126, 239, 149397, 8, 35825, 444, 3839, 808, 13, 14197, 220, 19, 87, 284, 320, 17, 14197, 51255, 126, 223, 14009, 17, 87, 24254, 16, 33218, 126, 230, 75151, 14197, 17, 220, 17, 87, 8, 14197, 220, 19, 87, 284, 220, 17, 1188, 17, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 66995, 16, 33218, 126, 230, 75151, 1781, 17, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 96859, 17, 873, 284, 11600, 19, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 593, 24254, 16, 33218, 126, 230, 75151, 1188, 17, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 873, 61, 17, 11884, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 29776, 17, 873, 873, 284, 11600, 19, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 593, 24254, 16, 33218, 126, 230, 75151, 1188, 19, 62027, 42476, 244, 48245, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 59374, 42476, 245, 61, 17, 51745, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 29776, 17, 873, 873, 284, 11600, 19, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 593, 5620, 66844, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 29776, 17, 33218, 126, 230, 75151, 220, 19, 62027, 42476, 244, 48245, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 59374, 42476, 245, 61, 17, 51745, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 29776, 17, 873, 873, 284, 320, 19, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 24254, 16, 33218, 126, 230, 75151, 14197, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 873, 84216, 126, 245, 1781, 16, 33218, 126, 230, 75151, 14197, 17, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 8, 17, 59374, 42476, 245, 5620, 1188, 16, 33218, 126, 230, 75151, 48245, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 17, 33218, 126, 230, 75151, 19, 14197, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 873, 284, 320, 19, 14197, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 5620, 16, 84216, 126, 245, 1781, 16, 33218, 126, 230, 75151, 14197, 17, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 8, 59374, 42476, 245, 5620, 1188, 16, 33218, 126, 230, 75151, 48245, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 17, 33218, 126, 230, 75151, 19, 14197, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 873, 284, 320, 19, 14197, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 320, 16, 33218, 126, 230, 75151, 48245, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 59374, 42476, 245, 30085, 1188, 16, 33218, 126, 230, 75151, 52591, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 873, 17, 33218, 126, 230, 75151, 19, 14197, 51255, 126, 223, 14009, 17, 48245, 126, 251, 126, 239, 149397, 873, 12091, 320, 64, 33218, 42476, 241, 293, 8, 17, 284, 264, 17, 488, 65, 17, 33218, 42476, 241, 220, 17, 370, 284, 320, 19, 14197, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 320, 220, 16, 33218, 126, 230, 75151, 52591, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 8, 59374, 42476, 245, 5620, 1188, 320, 16, 8, 17, 13362, 48245, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 17, 33218, 126, 230, 75151, 17, 84216, 126, 245, 220, 16, 84216, 126, 245, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 33218, 126, 230, 75151, 19, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 284, 320, 19, 14197, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 320, 220, 16, 33218, 126, 230, 75151, 52591, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 8, 59374, 42476, 245, 5620, 1188, 320, 16, 8, 17, 13362, 48245, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 17, 33218, 126, 230, 75151, 17, 84216, 126, 245, 220, 16, 84216, 126, 245, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 33218, 126, 230, 75151, 19, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 17, 51745, 126, 251, 126, 239, 149397, 8, 284, 320, 19, 14197, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 320, 220, 16, 33218, 126, 230, 75151, 52591, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 8, 59374, 42476, 245, 24254, 16, 488, 14197, 51255, 126, 223, 14009, 59374, 42476, 244, 19, 51745, 126, 251, 126, 239, 149397, 33218, 126, 230, 75151, 220, 17, 14197, 17, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 33218, 126, 230, 75151, 19, 14197, 17, 51255, 126, 223, 14009, 48245, 126, 251, 126, 239, 149397, 62027, 42476, 245, 62027, 42476, 245, 873, 284, 320, 19, 14197, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 320, 220, 16, 33218, 126, 230, 75151, 14197, 17, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 873, 59374, 42476, 245, 62027, 42476, 245, 24254, 16, 488, 14197, 19, 51255, 126, 223, 14009, 59374, 42476, 244, 48245, 126, 251, 126, 239, 149397, 33218, 126, 230, 75151, 21, 51745, 126, 251, 126, 239, 14009, 48245, 126, 251, 126, 239, 126, 236, 48245, 126, 251, 126, 239, 126, 249, 19, 51745, 126, 251, 126, 239, 149397, 59374, 42476, 245, 873, 284, 431, 3839, 808, 13, 31040, 444, 3839, 808, 13, 284, 431, 3839, 808, 13, 31040, 18651 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2585, 653, 498, 11047, 45108, 4420, 1939, 2403, 498, 1184, 311, 653, 374, 21749, 697, 4420, 553, 220, 21, 15, 13, 1752, 3110, 11, 1977, 697, 9364, 6439, 220, 17, 15, 4115, 323, 220, 16, 20, 4420, 2337, 279, 2003, 13, 62902, 697, 2790, 4420, 553, 220, 21, 15, 311, 633, 697, 12122, 13, 1752, 419, 2291, 4168, 11, 697, 9364, 6439, 220, 17, 15, 13, 17, 20, 4115, 382, 565, 3555, 374, 220, 16, 14, 21, 339, 315, 458, 6460, 1939, 4854, 30833, 11443, 220, 21, 15, 40999, 1752, 3110, 11, 220, 16, 15, 4420, 374, 220, 16, 15, 14, 21, 15, 284, 220, 16, 14, 21, 315, 458, 6460, 11, 323, 220, 17, 19, 4420, 374, 220, 17, 19, 14, 21, 15, 284, 220, 21, 14, 16, 20, 315, 458, 6460, 382, 565, 2585, 1657, 4115, 374, 220, 22, 309, 311, 220, 20, 5187, 448, 264, 220, 18, 15, 9383, 15786, 1939, 2461, 3110, 11, 264, 220, 22, 25, 18, 15, 311, 220, 19, 25, 18, 15, 975, 1899, 448, 264, 220, 18, 15, 9383, 15786, 1438, 3363, 458, 220, 23, 13, 20, 6460, 975, 1899, 320, 24, 4115, 304, 1948, 11, 27283, 220, 18, 15, 4420, 476, 220, 15, 13, 20, 4115, 16819, 220, 23, 13, 20, 568, 1416, 498, 525, 3238, 28635, 697, 1438, 1231, 537, 387, 264, 15786, 1438, 11, 323, 498, 1231, 1083, 614, 5248, 18303, 5420, 382, 565, 2585, 653, 358, 11047, 975, 1939, 6776, 646, 387, 16588, 448, 279, 23606, 25, 5547, 284, 11732, 24768, 31135, 13, 576, 30548, 4982, 369, 975, 374, 279, 26970, 273, 320, 41, 701, 476, 20668, 7288, 22962, 320, 45, 7288, 296, 568, 3776, 26970, 273, 16819, 279, 3311, 315, 975, 429, 374, 2814, 979, 220, 16, 451, 315, 5344, 10797, 458, 1633, 916, 264, 6010, 315, 220, 16, 296, 382, 565, 2585, 653, 498, 11047, 220, 16, 20, 4420, 1939, 1249, 5508, 894, 19419, 311, 12122, 1352, 11, 582, 1101, 1184, 311, 21749, 1181, 63533, 553, 279, 46912, 13, 758, 419, 1142, 11, 421, 582, 5508, 220, 16, 20, 4420, 311, 4115, 582, 3270, 432, 438, 220, 16, 20, 14, 21, 15, 1576, 220, 16, 6460, 284, 220, 21, 15, 4420, 13, 1096, 3363, 220, 16, 20, 4420, 646, 387, 5326, 438, 220, 15, 13, 17, 20, 4115, 304, 279, 12122, 1352, 382, 565, 2585, 653, 358, 11047, 847, 4115, 817, 2003, 1939, 2212, 705, 279, 1372, 315, 4115, 504, 1817, 2003, 311, 633, 697, 2790, 13, 62902, 553, 279, 2790, 1372, 315, 5555, 13, 576, 12942, 1372, 374, 279, 5461, 4115, 498, 1035, 614, 6439, 2337, 5555, 979, 498, 3867, 697, 3681, 5274, 382, 565, 3555, 374, 659, 17, 20, 389, 264, 3039, 3674, 1939, 48237, 21266, 1365, 40999, 311, 87270, 16896, 315, 458, 30833, 11252, 882, 304, 21422, 10115, 5362, 438, 7739, 16896, 315, 458, 6460, 13, 1752, 3110, 220, 16, 20, 4420, 320, 41873, 6460, 8, 16819, 659, 220, 17, 20, 11, 220, 18, 15, 4420, 320, 26062, 6460, 8, 16819, 659, 220, 20, 11, 4992, 382, 565, 2585, 653, 498, 2484, 220, 21, 220, 22, 1119, 264, 3266, 1939, 12012, 220, 21, 14, 22, 311, 63241, 553, 50169, 9774, 30206, 5633, 3266, 19419, 374, 220, 23, 20, 13, 22, 16, 19, 17, 23, 20, 22, 16, 19, 17, 23, 21, 14, 16, 15, 15, 11, 892, 3363, 429, 220, 21, 22, 438, 264, 11414, 374, 220, 23, 20, 13, 22, 16, 34332, 565, 3555, 374, 220, 15, 13, 18, 438, 264, 3266, 1939, 1249, 3270, 220, 15, 13, 18, 438, 264, 3266, 11, 30270, 220, 15, 13, 18, 553, 220, 16, 15, 15, 13, 29807, 1018, 7735, 304, 279, 1985, 12180, 13, 2055, 11, 220, 15, 13, 18, 438, 264, 3266, 374, 220, 18, 15, 1018, 382, 565, 3555, 374, 264, 220, 23, 20, 1939, 34264, 11972, 63241, 23812, 7271, 362, 10, 220, 24, 15, 12, 16, 15, 15, 36766, 362, 220, 23, 20, 12, 23, 24, 15308, 1661, 362, 4142, 220, 23, 15, 12, 23, 19, 15308, 1661, 425, 10, 220, 22, 20, 12, 22, 24, 7684, 425, 382, 565, 8429, 1558, 4505, 990, 6277, 882, 1939, 785, 220, 17, 19, 21231, 8866, 702, 264, 1293, 3840, 13, 1084, 374, 8661, 1091, 37838, 6769, 323, 5851, 11, 979, 1052, 2578, 387, 10492, 13, 23786, 2284, 1033, 3598, 3847, 13, 576, 6277, 1083, 1184, 311, 5648, 71768, 382, 565, 2585, 1657, 4115, 374, 220, 24, 14, 20, 304, 264, 1899, 1939, 785, 8606, 3693, 2562, 4115, 525, 220, 24, 25, 15, 15, 264, 744, 13, 311, 220, 20, 25, 15, 15, 281, 744, 2572, 7014, 311, 6602, 11, 14064, 264, 975, 10264, 315, 4236, 8063, 21231, 2849, 45238, 220, 19, 15, 4115, 304, 2790, 13, 4220, 525, 279, 6238, 315, 279, 17133, 220, 24, 4686, 12, 20, 11, 1483, 311, 7512, 264, 20692, 323, 10767, 65738, 2618, 382, 565, 2585, 525, 15786, 3039, 20306, 16588, 1939, 6269, 419, 14806, 25, 284, 27377, 1188, 34, 17, 7671, 17, 41794, 36, 17, 9420, 17, 31870, 17, 19, 1119, 264, 10113, 2779, 29388, 697, 882, 3255, 7761, 11, 434, 17, 11, 369, 2867, 11, 1490, 36190, 25, 7036, 25, 758, 279, 3403, 14806, 25, 356, 17, 374, 279, 15786, 1191, 882, 11, 425, 17, 374, 279, 1487, 304, 882, 11, 468, 17, 14807, 279, 1487, 700, 882, 323, 422, 17, 374, 279, 15786, 835, 882, 382, 565, 2585, 653, 498, 11047, 45108, 4115, 369, 8256, 1939, 2610, 653, 419, 553, 49702, 279, 4420, 6439, 553, 220, 21, 15, 13, 1446, 1221, 614, 279, 4115, 323, 4420, 304, 34776, 1352, 11, 892, 498, 646, 30270, 553, 279, 19062, 4379, 13, 1752, 3110, 11, 421, 697, 9364, 4278, 220, 18, 23, 4115, 323, 220, 17, 22, 4420, 419, 2003, 11, 498, 21749, 220, 17, 22, 553, 220, 21, 15, 13, 1096, 6696, 498, 220, 15, 13, 19, 20, 11, 369, 264, 2790, 315, 220, 18, 23, 13, 19, 20, 4115, 382, 565, 2585, 653, 498, 11047, 45108, 817, 6460, 1939, 5338, 11, 8253, 279, 2790, 1372, 315, 4115, 6439, 553, 84192, 279, 4115, 817, 2003, 553, 279, 1372, 315, 5555, 304, 264, 1042, 320, 20, 17, 568, 9295, 11, 21749, 419, 1372, 504, 279, 9775, 16107, 13, 1752, 3110, 11, 421, 458, 9364, 702, 264, 16107, 315, 32882, 20, 15, 11, 15, 15, 15, 323, 4278, 220, 19, 15, 4115, 817, 2003, 11, 279, 46629, 4379, 374, 32882, 20, 15, 11, 15, 15, 15, 14, 17, 11, 15, 23, 15, 320, 19, 15, 856, 220, 20, 17, 8, 284, 32882, 17, 19, 13, 15, 19, 382, 565, 2585, 653, 498, 11047, 3309, 4420, 1939, 4340, 311, 11047, 35831, 758, 25, 220, 16, 13, 93210, 279, 13537, 975, 882, 504, 279, 5042, 18647, 882, 13, 12091, 279, 6077, 3403, 25, 220, 16, 15, 25, 19, 17, 1365, 220, 23, 25, 15, 15, 284, 220, 17, 13, 19, 17, 11, 476, 220, 17, 4115, 323, 220, 19, 17, 4420, 3309, 18647, 13, 220, 17, 382, 565, 3555, 11414, 315, 825, 6460, 374, 220, 19, 20, 4420, 1939, 54815, 11, 220, 16, 6460, 323, 220, 19, 20, 4420, 374, 220, 22, 13, 17, 24, 16, 4, 315, 279, 2790, 1372, 315, 4115, 304, 264, 1899, 13, 31040, 279, 4396, 2999, 374, 356, 382, 565, 3555, 374, 264, 220, 16, 15, 15, 9383, 8866, 1939, 32, 220, 16, 15, 15, 23498, 8866, 374, 11136, 13862, 311, 979, 7404, 911, 279, 12122, 13578, 315, 279, 4420, 315, 458, 6460, 13, 758, 1008, 4244, 11, 220, 16, 374, 220, 21, 15, 4420, 304, 264, 220, 16, 15, 15, 23498, 8866, 382, 565, 2585, 653, 498, 3270, 882, 304, 4115, 1939, 641, 4586, 11, 311, 3270, 882, 304, 279, 220, 17, 19, 21231, 1849, 11, 51044, 279, 14889, 1948, 4115, 323, 4420, 11, 323, 1795, 279, 7857, 1127, 369, 882, 448, 279, 3409, 1036, 30382, 1987, 576, 29115, 6009, 518, 220, 15, 23, 17, 18, 4115, 659, 4457, 70411, 438, 1036, 2267, 69715, 97562, 7166, 48393, 4115, 854, 476, 1036, 14154, 69715, 97562, 7166, 48393, 854, 320, 76, 20247, 3593, 565, 2585, 653, 498, 11047, 220, 18, 15, 4420, 45108, 1939, 2461, 3110, 11, 421, 458, 9364, 4278, 220, 23, 25, 18, 15, 4420, 11, 419, 374, 220, 23, 13, 20, 4115, 979, 16099, 311, 12122, 11, 30270, 432, 553, 862, 46629, 19062, 26, 419, 3059, 304, 264, 19952, 19062, 3311, 382, 565, 2585, 653, 498, 11047, 15088, 4115, 1939, 32, 3974, 323, 4135, 1714, 315, 37614, 15088, 4115, 374, 311, 30270, 220, 19, 15, 4115, 817, 2003, 553, 220, 19, 5555, 11, 77404, 220, 16, 21, 15, 4115, 369, 279, 2254, 13, 576, 1008, 1714, 686, 3410, 279, 5461, 1372, 315, 975, 4115, 304, 264, 2254, 382, 565, 3555, 374, 2480, 882, 6424, 1939, 3862, 374, 902, 3151, 1372, 315, 4115, 429, 3643, 4325, 2480, 476, 949, 7246, 11, 714, 264, 2480, 7246, 11864, 686, 5990, 975, 220, 18, 20, 4115, 476, 803, 264, 2003, 13, 3660, 7246, 7337, 1265, 633, 279, 1852, 6380, 369, 25, 2291, 7813, 320, 16169, 14036, 2291, 11, 70171, 11, 3272, 33619, 323, 24376, 5274, 323, 2291, 8, 27681, 10488, 323, 7567, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 851, 803, 46534, 198, 50, 20201, 198, 37155, 311, 85759, 271, 2, 28338, 311, 85759, 320, 18, 6498, 14069, 8, 50, 20201, 369, 15585, 220, 16, 16, 1069, 271, 6667, 220, 24, 20, 19, 3019, 14319, 29208, 9904, 198, 6667, 328, 8731, 553, 35617, 11, 44624, 609, 11647, 198, 6667, 16048, 11, 8514, 11, 609, 3482, 198, 22464, 369, 279, 55085, 5267, 1918, 220, 24, 15, 4, 315, 4143, 879, 990, 8436, 14398, 19173, 1895, 2664, 27611, 624, 11109, 220, 17, 15, 16, 20, 23591, 315, 8436, 14398, 19173, 14627, 198, 25020, 25, 22079, 510, 82725, 97897, 198, 25020, 25, 22079, 510, 6667, 14822, 220, 16, 315, 220, 20, 271, 6583, 477, 9838, 1371, 6822, 369, 72355, 271, 5002, 27020, 374, 279, 72355, 14762, 304, 892, 369, 38298, 458, 2392, 304, 279, 1965, 93952, 582, 2711, 369, 279, 5424, 421, 432, 374, 2669, 12985, 304, 432, 11, 279, 2711, 4675, 2987, 279, 2392, 476, 279, 1910, 3550, 304, 279, 1334, 311, 5155, 429, 2392, 382, 641, 13794, 72355, 14762, 8500, 315, 5424, 311, 387, 2711, 646, 387, 894, 315, 279, 296, 0, 58441, 304, 9033, 374, 419, 14762, 6696, 279, 1714, 315, 15039, 892, 2711, 304, 279, 2480, 1140, 369, 279, 3175, 2392, 304, 279, 66117, 1616, 382, 2461, 279, 5819, 315, 308, 5424, 41318, 264, 5175, 1965, 315, 8654, 296, 3589, 432, 5711, 279, 1787, 27020, 14762, 382, 6667, 14822, 220, 17, 315, 220, 20, 271, 64, 659, 758, 279, 1882, 315, 35927, 315, 458, 2392, 553, 1667, 13794, 72355, 14762, 421, 279, 2392, 374, 537, 1730, 304, 279, 1965, 1221, 432, 374, 21578, 1119, 279, 1156, 9446, 892, 653, 537, 6644, 894, 2392, 382, 2679, 285, 279, 2795, 8168, 429, 374, 311, 2711, 458, 2392, 892, 374, 537, 1730, 304, 279, 1965, 1221, 279, 2790, 3601, 62510, 374, 7192, 315, 382, 5615, 29489, 429, 264, 3890, 11882, 9995, 9578, 279, 62510, 892, 653, 537, 470, 279, 2567, 3890, 1221, 659, 1205, 1414, 429, 1221, 13, 576, 18927, 315, 35927, 315, 2392, 304, 264, 5175, 1965, 429, 5711, 13794, 72355, 7460, 537, 2686, 1091, 595, 62510, 773, 8450, 3554, 39, 763, 271, 44500, 369, 35927, 315, 2392, 304, 279, 5175, 1965, 553, 1667, 13794, 72355, 1380, 279, 18927, 315, 5819, 374, 537, 803, 1091, 9309, 432, 26475, 803, 1091, 595, 3039, 382, 6667, 14822, 220, 18, 315, 220, 20, 271, 65, 659, 1752, 35927, 315, 2392, 304, 279, 5175, 1965, 553, 1667, 13794, 72355, 1380, 279, 18927, 315, 5819, 374, 537, 803, 1091, 9309, 432, 26475, 803, 1091, 595, 3039, 429, 374, 271, 8420, 279, 62510, 2567, 369, 279, 35927, 315, 2392, 304, 5175, 1965, 374, 803, 1091, 6762, 44500, 11, 6762, 1359, 1667, 14806, 68, 315, 89936, 76, 1447, 44500, 271, 39, 763, 279, 18927, 315, 5819, 369, 279, 35927, 315, 2392, 374, 369, 979, 432, 62510, 5424, 304, 279, 1965, 382, 6667, 14822, 220, 19, 315, 220, 20, 271, 66, 13, 576, 35927, 315, 2392, 304, 279, 1965, 7460, 26475, 323, 10868, 279, 2790, 1372, 315, 26475, 5871, 369, 279, 35927, 315, 308, 5424, 382, 37175, 458, 1538, 362, 369, 892, 279, 1372, 315, 62510, 1599, 525, 1741, 429, 11, 323, 304, 1538, 279, 1372, 315, 62510, 11, 369, 659, 5005, 18927, 315, 4357, 374, 438, 1447, 2461, 308, 1372, 315, 4357, 4092, 311, 279, 12608, 8835, 46992, 82, 31205, 1447, 12209, 369, 279, 738, 362, 315, 308, 4357, 3554, 39, 763, 421, 279, 35927, 315, 2392, 304, 279, 1965, 7460, 26475, 323, 421, 10868, 279, 2790, 1372, 315, 26475, 5871, 369, 279, 35927, 315, 308, 5424, 1221, 1447, 6667, 14822, 220, 20, 315, 220, 20, 271, 67, 659, 576, 3601, 3084, 315, 279, 21730, 8500, 369, 595, 62510, 374, 2661, 553, 279, 14806, 68, 1447, 60179, 279, 8500, 1119, 1378, 5479, 825, 504, 323, 279, 1008, 504, 1221, 3554, 2461, 279, 15039, 315, 2392, 369, 892, 279, 1372, 315, 62510, 2686, 1091, 1221, 271, 437, 369, 279, 2711, 979, 1372, 315, 62510, 525, 7046, 1091, 3391, 271, 382, 44500, 3554, 39, 763, 11, 279, 3601, 2790, 3084, 1055, 279, 7192, 3084, 21730, 49687, 374, 382, 10580, 6818, 287, 2918, 2190, 271, 37155, 311, 85759, 760, 220, 18, 6498, 14069, 198, 24, 22, 23, 15, 17, 21, 17, 15, 18, 18, 23, 19, 23, 45185, 12, 16, 18, 25, 220, 15, 17, 21, 17, 15, 18, 18, 23, 19, 19, 45185, 25 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19833, 27029, 1142, 315, 279, 2329, 315, 274, 1543, 271, 785, 54761, 1142, 315, 279, 2329, 315, 274, 1543, 8573, 979, 1378, 11067, 323, 458, 9210, 14002, 825, 315, 279, 1378, 11067, 525, 2661, 13, 1205, 646, 73381, 419, 6534, 448, 93853, 382, 12549, 279, 3084, 315, 279, 4843, 3108, 374, 537, 3881, 11, 582, 1513, 944, 1414, 421, 264, 21495, 686, 387, 14122, 476, 537, 13, 2938, 374, 279, 2874, 582, 1618, 419, 1142, 54761, 382, 641, 2097, 11, 419, 3093, 315, 6534, 476, 93853, 646, 2968, 279, 2701, 220, 19, 25283, 382, 6667, 2308, 21495, 198, 6667, 220, 16, 21495, 198, 6667, 220, 16, 1290, 21495, 198, 6667, 220, 17, 42446, 271, 565, 576, 1156, 15048, 315, 279, 54761, 1142, 315, 279, 2329, 315, 274, 1543, 13666, 979, 264, 366, 305, 382, 2461, 3110, 11, 1896, 264, 1401, 518, 279, 21495, 3685, 1380, 1172, 1378, 11067, 525, 2661, 13, 4220, 1378, 2661, 11067, 525, 264, 323, 293, 13, 1527, 9210, 14002, 311, 825, 3108, 374, 1083, 2661, 13, 36237, 362, 374, 279, 9210, 429, 374, 14002, 311, 3108, 264, 476, 825, 315, 279, 1378, 11067, 382, 9112, 429, 93853, 304, 419, 1142, 3363, 3108, 264, 4102, 2929, 293, 4102, 4044, 362, 304, 429, 1973, 382, 17949, 264, 374, 23327, 1091, 305, 11, 264, 374, 537, 1293, 3322, 311, 1352, 264, 21495, 13, 4102, 641, 2097, 11, 279, 1372, 315, 3204, 42446, 429, 646, 387, 14122, 304, 279, 93853, 1142, 13798, 389, 279, 3084, 315, 279, 35858, 476, 305, 382, 34193, 429, 7437, 362, 4035, 71, 608, 293, 271, 12522, 498, 30270, 2176, 11067, 315, 279, 23606, 3403, 553, 293, 11, 582, 633, 305, 284, 293, 7437, 362, 382, 2082, 3110, 9027, 429, 902, 21495, 646, 387, 14122, 271, 3523, 671, 16, 271, 10048, 2900, 362, 284, 220, 22, 19, 11616, 11, 264, 284, 220, 20, 16, 11, 323, 293, 284, 220, 22, 17, 382, 71, 284, 220, 22, 17, 24768, 7437, 320, 22, 19, 11616, 8, 284, 220, 22, 17, 24768, 220, 15, 13, 24, 21, 16, 17, 284, 220, 21, 23, 13, 17, 15, 271, 12549, 220, 20, 16, 476, 264, 374, 2686, 1091, 305, 476, 220, 21, 24, 13, 17, 15, 11, 902, 21495, 686, 387, 14122, 382, 3523, 671, 17, 271, 1654, 646, 1083, 1473, 429, 902, 21495, 6724, 553, 1667, 279, 2329, 315, 274, 1543, 382, 64, 608, 7437, 362, 284, 293, 608, 7437, 425, 271, 785, 11341, 264, 608, 7437, 362, 374, 3881, 2474, 264, 608, 7437, 362, 284, 220, 20, 16, 608, 7437, 220, 22, 19, 11616, 271, 12549, 582, 1083, 1414, 279, 3084, 315, 293, 11, 279, 7402, 12194, 304, 279, 2329, 315, 274, 1543, 374, 7437, 425, 13, 1084, 374, 19819, 1221, 311, 1401, 369, 7437, 425, 323, 1490, 1128, 582, 835, 705, 448, 382, 20, 16, 608, 7437, 220, 22, 19, 11616, 284, 220, 22, 17, 608, 7437, 425, 271, 20, 16, 7437, 425, 284, 220, 22, 17, 7437, 4102, 22, 19, 11616, 271, 15940, 425, 284, 320, 22, 17, 7437, 4102, 22, 19, 11616, 8, 608, 220, 20, 16, 271, 15940, 425, 284, 320, 22, 17, 24768, 220, 15, 13, 24, 21, 16, 17, 8, 608, 220, 20, 16, 271, 15940, 425, 284, 320, 21, 24, 13, 17, 15, 21, 19, 8, 608, 220, 20, 16, 271, 15940, 425, 284, 220, 16, 13, 18, 20, 21, 24, 271, 12549, 279, 57668, 315, 458, 9210, 4157, 387, 11243, 1091, 220, 16, 11, 9210, 425, 1558, 537, 3000, 13, 15277, 11, 902, 21495, 646, 387, 14122, 448, 279, 2661, 21595, 382, 565, 576, 2086, 15048, 315, 279, 54761, 1142, 315, 279, 2329, 315, 274, 1543, 13666, 979, 264, 284, 305, 382, 4498, 264, 284, 305, 11, 279, 12942, 21495, 686, 2677, 387, 264, 1290, 21495, 382, 2082, 3110, 9027, 429, 264, 1290, 21495, 646, 387, 14122, 271, 3523, 671, 16, 271, 10048, 2900, 362, 284, 220, 18, 15, 11616, 11, 264, 284, 220, 17, 20, 11, 323, 293, 284, 220, 20, 15, 382, 71, 284, 220, 20, 15, 24768, 7437, 320, 18, 15, 11616, 8, 284, 220, 20, 15, 24768, 220, 15, 13, 20, 284, 220, 17, 20, 271, 12549, 220, 17, 20, 476, 264, 374, 6144, 311, 305, 476, 220, 17, 20, 11, 220, 16, 1290, 21495, 686, 387, 14122, 382, 3523, 671, 17, 271, 30385, 11, 582, 646, 990, 279, 2329, 315, 274, 1543, 311, 1473, 429, 419, 882, 7437, 425, 6724, 323, 432, 374, 6144, 311, 220, 24, 15, 12348, 382, 64, 608, 7437, 362, 284, 293, 608, 7437, 425, 271, 17, 20, 608, 7437, 220, 18, 15, 11616, 284, 220, 20, 15, 608, 7437, 425, 271, 17, 20, 7437, 425, 284, 220, 20, 15, 7437, 220, 18, 15, 11616, 271, 15940, 425, 284, 320, 20, 15, 7437, 220, 18, 15, 11616, 8, 608, 220, 17, 20, 271, 15940, 425, 284, 320, 20, 15, 24768, 220, 15, 13, 20, 8, 608, 220, 17, 20, 271, 15940, 425, 284, 320, 17, 20, 8, 608, 220, 17, 20, 271, 15940, 425, 284, 220, 16, 271, 33, 284, 7437, 12, 16, 7, 16, 8, 284, 220, 24, 15, 12348, 382, 565, 576, 4843, 15048, 315, 279, 54761, 1142, 315, 279, 2329, 315, 274, 1543, 13666, 979, 264, 861, 305, 323, 264, 861, 293, 382, 4498, 264, 374, 11243, 1091, 305, 11, 1549, 264, 21495, 646, 387, 14122, 13, 4354, 11, 2474, 264, 374, 11243, 1091, 293, 11, 582, 646, 1172, 614, 825, 21495, 13, 9735, 311, 1281, 264, 21495, 1380, 264, 374, 11243, 1091, 293, 11, 498, 686, 5293, 429, 1052, 646, 1172, 387, 220, 16, 1741, 21495, 382, 2082, 3110, 9027, 429, 6896, 220, 16, 21495, 646, 387, 14122, 271, 10048, 2900, 362, 284, 220, 18, 15, 11616, 11, 264, 284, 220, 20, 15, 11, 323, 293, 284, 220, 19, 15, 382, 71, 284, 220, 19, 15, 24768, 7437, 320, 18, 15, 11616, 8, 284, 220, 19, 15, 24768, 220, 15, 13, 20, 284, 220, 17, 15, 271, 12549, 220, 20, 15, 476, 264, 374, 11243, 1091, 2176, 305, 320, 269, 220, 17, 15, 8, 323, 293, 320, 269, 220, 19, 15, 701, 220, 16, 21495, 686, 387, 14122, 382, 565, 7996, 6534, 25, 220, 4102, 64, 861, 305, 323, 264, 366, 293, 271, 4498, 264, 374, 2686, 1091, 293, 11, 220, 17, 42446, 646, 387, 14122, 438, 9355, 35662, 3685, 13, 576, 1378, 42446, 525, 21495, 362, 6484, 323, 21495, 362, 1479, 382, 2082, 3110, 9027, 429, 6896, 220, 17, 42446, 646, 387, 14122, 271, 10048, 2900, 362, 284, 220, 18, 15, 11616, 11, 264, 284, 220, 19, 15, 11, 323, 293, 284, 220, 21, 15, 271, 71, 284, 220, 21, 15, 24768, 7437, 320, 18, 15, 11616, 8, 284, 220, 21, 15, 24768, 220, 15, 13, 20, 284, 220, 18, 15, 271, 12549, 220, 19, 15, 476, 264, 374, 11243, 1091, 305, 323, 264, 374, 9155, 1091, 293, 476, 220, 21, 15, 11, 220, 17, 42446, 686, 387, 14122, 382, 565, 34290, 28361, 271, 16, 13, 16600, 2585, 2014, 7379, 576, 67218, 4940, 220, 17, 15, 25, 362, 8993, 12149, 271, 41114, 220, 16, 22, 11, 220, 17, 18, 220, 15, 24, 25, 19, 21, 6769, 271, 3862, 525, 1657, 5510, 311, 1477, 279, 9363, 315, 220, 17, 15, 13, 362, 4285, 1616, 374, 311, 2146, 17, 13, 16600, 576, 42254, 4149, 3393, 25, 2585, 2014, 2823, 87167, 2014, 18596, 1084, 1597, 28778, 533, 271, 35590, 220, 15, 24, 11, 220, 17, 18, 220, 16, 17, 25, 15, 19, 5851, 271, 785, 42254, 4149, 3772, 374, 3881, 369, 1660, 5000, 13, 1988, 432, 3171, 1405, 614, 311, 387, 13, 14934, 1246, 311, 387, 10030, 323, 4583, 279, 3772, 448, 12136, 1588, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 220, 16, 19, 22, 16, 68723, 311, 61347, 271, 13936, 311, 220, 16, 19, 22, 16, 68723, 311, 61347, 11, 476, 220, 16, 19, 22, 16, 434, 311, 356, 304, 2805, 13, 5692, 498, 646, 1477, 1128, 220, 16, 19, 22, 16, 12348, 68723, 311, 61347, 374, 11, 3156, 448, 264, 9315, 27058, 323, 279, 14806, 13, 1752, 220, 16, 19, 22, 16, 320, 69749, 8, 68723, 582, 3270, 220, 16, 19, 22, 16, 36286, 37, 11, 323, 320, 69749, 8, 61347, 476, 2889, 5233, 3452, 525, 3371, 9253, 448, 279, 7735, 36286, 34, 13, 2055, 421, 498, 614, 1012, 3330, 369, 220, 16, 19, 22, 16, 36286, 37, 311, 36286, 34, 11, 1221, 498, 525, 1290, 1588, 11, 2238, 13, 4457, 389, 3685, 311, 3960, 4297, 911, 279, 9315, 14409, 382, 2610, 1513, 1405, 614, 311, 3493, 279, 6303, 3137, 11, 7241, 498, 1366, 311, 14291, 279, 14409, 382, 72228, 419, 9315, 27058, 1431, 382, 565, 30822, 271, 785, 220, 16, 19, 22, 16, 68723, 311, 61347, 14806, 374, 25, 508, 11616, 34, 60, 284, 11743, 16, 19, 22, 16, 60, 24196, 220, 18, 17, 8, 856, 220, 20, 77137, 226, 220, 24, 13, 15277, 11, 582, 633, 1447, 16, 19, 22, 16, 434, 311, 356, 284, 220, 22, 24, 24, 13, 19, 19, 19, 36286, 34, 271, 16, 19, 22, 16, 36286, 37, 304, 36286, 34, 284, 220, 22, 24, 24, 13, 19, 19, 19, 61347, 198, 16, 19, 22, 16, 434, 304, 356, 284, 220, 22, 24, 24, 13, 19, 19, 19, 12348, 61347, 271, 5979, 3403, 582, 614, 2661, 498, 279, 1102, 304, 279, 4185, 42429, 26012, 315, 419, 9315, 14409, 13, 4940, 3308, 11, 279, 1102, 374, 1083, 2697, 369, 220, 16, 19, 22, 16, 37, 311, 356, 11, 220, 16, 19, 22, 16, 37, 304, 356, 4992, 382, 8420, 498, 646, 2297, 220, 16, 19, 22, 16, 61347, 311, 68723, 382, 5847, 11, 582, 10339, 279, 6888, 382, 565, 42509, 271, 1249, 5508, 279, 9315, 1191, 553, 1191, 553, 36810, 287, 220, 18, 17, 504, 220, 16, 19, 22, 16, 13, 5005, 30270, 220, 16, 19, 18, 24, 553, 220, 20, 916, 220, 24, 311, 6851, 220, 22, 24, 24, 13, 19, 19, 19, 12348, 61347, 13, 468, 76683, 11, 4764, 11, 374, 1667, 1039, 27058, 3403, 382, 34402, 9315, 48722, 389, 1039, 3910, 2924, 1447, 87962, 374, 279, 15061, 5239, 315, 1039, 2213, 382, 565, 21517, 271, 4340, 1753, 374, 220, 16, 19, 22, 16, 12348, 68723, 304, 61347, 30, 3216, 5290, 1039, 4549, 773, 3041, 11, 476, 553, 3363, 315, 1039, 27058, 11, 498, 2669, 1414, 279, 4226, 271, 16, 19, 22, 16, 68723, 304, 1008, 9315, 8153, 374, 1447, 6667, 20668, 25, 220, 17, 21, 18, 13, 23, 16, 22, 36286, 45, 198, 6667, 90973, 25, 220, 16, 15, 22, 17, 13, 20, 24, 19, 36286, 42, 198, 6667, 50123, 64, 372, 324, 25, 220, 21, 18, 24, 13, 20, 20, 21, 36286, 84836, 198, 6667, 431, 6151, 1174, 25, 220, 19, 17, 22, 13, 17, 15, 23, 36286, 38872, 198, 6667, 7313, 40105, 25, 481, 16, 15, 19, 24, 13, 16, 21, 22, 36286, 1912, 198, 6667, 19298, 482, 25, 220, 16, 24, 18, 15, 13, 21, 22, 36286, 49, 271, 1986, 10335, 1039, 7999, 911, 220, 16, 19, 22, 16, 36286, 37, 311, 36286, 34, 382, 2679, 498, 614, 4113, 311, 3291, 476, 304, 1142, 498, 1035, 1075, 311, 2548, 2494, 911, 220, 16, 19, 22, 16, 434, 304, 356, 11, 1221, 5155, 304, 279, 1352, 3685, 13, 1597, 11, 421, 419, 4549, 911, 220, 16, 19, 22, 16, 434, 311, 61347, 702, 1012, 10950, 311, 498, 11, 1221, 4201, 279, 3590, 12424, 4486, 382, 12658, 369, 16721, 282, 21176, 383, 1442, 509, 40247, 2659, 382, 17372, 304, 434, 311, 356 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8994, 6079, 5755, 8008, 198, 50, 39435, 198, 47, 8889, 642, 198, 15944, 55519, 198, 51, 1384, 55519, 198, 21685, 52804, 938, 55519, 198, 92518, 55519, 198, 51344, 55519, 198, 2580, 23, 2576, 198, 11409, 271, 4431, 4695, 4894, 4431, 4695, 2219, 2, 66042, 658, 271, 6667, 34303, 92945, 2573, 320, 46737, 8, 1365, 362, 738, 315, 451, 6975, 8731, 7761, 448, 451, 10, 16, 11178, 198, 6667, 12100, 60870, 1365, 362, 4982, 448, 1172, 1378, 12170, 3020, 315, 264, 9144, 1599, 198, 6667, 12100, 19083, 1365, 362, 2779, 448, 1172, 1378, 11178, 9664, 198, 6667, 8261, 1365, 5765, 220, 18, 87, 18, 26271, 4982, 304, 264, 4622, 90809, 11, 476, 894, 8167, 20218, 398, 220, 24, 31901, 6083, 304, 619, 86924, 90809, 892, 1969, 6644, 220, 16, 311, 220, 24, 13, 2619, 525, 220, 24, 14697, 304, 220, 24, 87, 24, 90809, 624, 6667, 57889, 1365, 362, 12864, 1007, 1874, 315, 7761, 369, 892, 862, 2629, 374, 3897, 304, 52953, 94254, 323, 26012, 624, 6667, 49583, 1365, 362, 3204, 6291, 369, 264, 2779, 13, 5765, 2779, 11046, 311, 825, 9144, 374, 27956, 624, 6667, 13972, 1365, 362, 9334, 389, 279, 90809, 5827, 369, 892, 1052, 374, 825, 3175, 1372, 6291, 624, 6667, 28525, 1365, 362, 8500, 315, 7746, 1948, 11178, 1741, 429, 279, 1378, 10335, 33508, 458, 42932, 13, 2009, 6485, 3721, 525, 7877, 26179, 624, 6667, 1200, 47702, 349, 25995, 1365, 576, 1378, 9664, 11178, 304, 264, 6032, 60870, 525, 63280, 349, 13, 2379, 525, 1483, 311, 1352, 3746, 2656, 2878, 264, 4982, 2474, 825, 1969, 387, 830, 323, 279, 1008, 1969, 387, 895, 624, 6667, 34241, 329, 2479, 1365, 758, 94254, 458, 11816, 323, 8916, 70140, 6534, 646, 12170, 421, 264, 8, 1052, 525, 902, 11178, 2115, 304, 264, 2779, 11, 476, 293, 8, 1378, 476, 803, 7761, 3717, 311, 387, 830, 13, 576, 9213, 315, 1657, 14830, 374, 311, 1473, 264, 49759, 624, 6667, 68967, 1365, 758, 264, 21359, 432, 77764, 429, 279, 7746, 1948, 7798, 25470, 24609, 1948, 3746, 323, 7469, 7746, 624, 6667, 41292, 1365, 13293, 829, 369, 264, 21359, 13, 3496, 21359, 624, 6667, 4093, 78589, 1365, 758, 264, 21359, 432, 77764, 429, 1052, 374, 825, 44880, 34494, 1380, 264, 2436, 374, 9057, 295, 553, 2987, 1378, 7469, 7746, 476, 1378, 3746, 7746, 624, 6667, 5737, 291, 6018, 1365, 362, 738, 315, 11178, 315, 279, 1852, 897, 320, 9033, 1969, 4332, 264, 4982, 8, 429, 646, 387, 1483, 311, 1352, 264, 1874, 448, 279, 2456, 315, 1660, 2952, 311, 4228, 432, 438, 264, 3175, 2779, 624, 6667, 472, 17707, 1365, 758, 264, 809, 13002, 287, 279, 6149, 2779, 892, 28682, 279, 1378, 281, 69798, 7761, 624, 6667, 758, 2202, 1365, 7818, 70637, 429, 646, 387, 1865, 1948, 1378, 10592, 11178, 13, 2619, 525, 304, 4901, 315, 279, 7469, 3093, 323, 279, 3746, 3093, 624, 6667, 92945, 2573, 1365, 362, 1874, 315, 451, 11178, 44308, 311, 264, 1874, 315, 451, 7761, 13, 2009, 11178, 429, 646, 1490, 264, 16061, 738, 646, 387, 6963, 13, 53738, 393, 4720, 11, 26754, 642, 4992, 525, 92945, 12525, 624, 6667, 21359, 1365, 13293, 829, 369, 264, 41292, 13, 3496, 41292, 13, 362, 7877, 8781, 476, 8500, 315, 11178, 320, 8206, 525, 2598, 7798, 304, 279, 6337, 8, 1483, 311, 1281, 264, 38843, 13, 6485, 3721, 525, 19259, 476, 44880, 9193, 624, 6667, 393, 69798, 1365, 758, 264, 809, 13002, 287, 476, 809, 13002, 287, 28525, 279, 1378, 835, 7798, 525, 281, 2840, 388, 892, 3359, 264, 2779, 369, 279, 9895, 315, 42932, 13, 3496, 1083, 472, 17707, 624, 6667, 26099, 758, 2202, 1365, 10967, 1378, 11178, 1599, 323, 809, 525, 10592, 448, 3746, 44378, 1221, 2176, 4157, 387, 895, 518, 279, 1852, 882, 13, 15277, 421, 1599, 374, 895, 809, 374, 830, 323, 421, 809, 374, 895, 1599, 374, 830, 624, 6667, 26099, 5948, 1365, 362, 2656, 1948, 1378, 11178, 320, 8206, 646, 387, 264, 3175, 1372, 476, 264, 40041, 2436, 8, 47901, 421, 825, 374, 24636, 895, 279, 1008, 1969, 387, 830, 13, 26099, 25422, 646, 387, 1948, 1378, 7761, 320, 8221, 60870, 701, 2878, 264, 1618, 320, 8221, 19083, 8, 476, 438, 949, 315, 458, 38423, 476, 803, 6351, 5944, 13, 13355, 1588, 198, 6667, 7954, 1365, 3017, 14890, 4647, 369, 894, 2802, 11, 3250, 476, 3745, 13, 7281, 2598, 264, 3753, 624, 6667, 39292, 1365, 362, 22990, 389, 458, 4024, 24626, 11, 8695, 619, 86924, 94254, 374, 264, 11424, 315, 94254, 624, 6667, 41164, 758, 2202, 1365, 10967, 1378, 11178, 1599, 323, 809, 525, 10592, 7469, 44378, 23945, 429, 2176, 4157, 387, 830, 518, 279, 1852, 882, 13, 15277, 421, 1599, 374, 830, 809, 374, 895, 323, 421, 809, 374, 830, 1599, 374, 895, 624, 6667, 41164, 5948, 1365, 362, 2656, 1948, 825, 9144, 323, 678, 3800, 304, 264, 4982, 476, 2779, 47901, 421, 279, 9144, 374, 24636, 311, 387, 830, 678, 279, 3800, 525, 895, 13, 362, 3746, 2656, 646, 387, 24636, 311, 387, 7469, 16234, 1576, 330, 541, 279, 3800, 1, 5646, 5048, 1380, 1052, 374, 1172, 825, 1008, 13, 13355, 1588, 198, 6667, 57319, 13002, 287, 1365, 13293, 829, 369, 809, 13002, 287, 198, 785, 2701, 3793, 525, 537, 1483, 389, 419, 2747, 714, 1231, 387, 1730, 700, 304, 279, 8380, 198, 6667, 8362, 1365, 13293, 829, 369, 264, 3745, 198, 6667, 910, 1070, 1365, 14513, 14697, 304, 264, 3250, 624, 6667, 21070, 1365, 13293, 4647, 369, 264, 4982, 624, 6667, 16246, 1365, 13293, 829, 369, 264, 29989, 624, 6667, 4678, 1365, 13293, 829, 369, 264, 4982, 11, 7025, 1083, 279, 1852, 438, 264, 94380, 624, 6667, 58100, 1365, 13293, 829, 369, 42932, 198, 6667, 17152, 1365, 13293, 829, 369, 264, 3745 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 54945, 12102, 5012, 12932, 220, 17, 15, 16, 22, 25, 220, 17, 34290, 20768, 4940, 61242, 2404, 44535, 271, 30665, 25166, 11, 12102, 5012, 12932, 39686, 525, 5916, 1602, 5135, 0, 320, 641, 220, 20, 3951, 15632, 7887, 568, 21193, 21514, 686, 1492, 498, 369, 2704, 382, 2610, 2669, 1414, 15491, 2404, 374, 458, 2989, 8544, 369, 6073, 39686, 13, 758, 419, 1736, 11, 498, 686, 1477, 1378, 4494, 315, 5322, 4588, 304, 3681, 1042, 12932, 7006, 382, 13314, 1752, 3990, 220, 16, 510, 9885, 279, 1372, 304, 1992, 315, 279, 3405, 1868, 510, 30, 608, 220, 21, 22, 21, 13, 15, 18, 284, 220, 16, 17, 24, 20, 13, 21, 608, 23754, 36842, 510, 1654, 646, 44868, 220, 21, 22, 21, 13, 15, 18, 438, 220, 21, 22, 21, 323, 220, 16, 17, 24, 20, 13, 21, 438, 220, 16, 17, 24, 21, 13, 15277, 11, 279, 2661, 23606, 646, 387, 43799, 438, 1447, 30, 17, 284, 220, 16, 17, 24, 21, 856, 220, 21, 22, 21, 198, 2195, 937, 284, 9334, 3704, 315, 320, 16, 17, 24, 21, 856, 220, 21, 22, 21, 340, 28, 9334, 3704, 315, 320, 16, 17, 24, 21, 8, 856, 9334, 3704, 315, 320, 21, 22, 21, 340, 28, 220, 18, 21, 856, 220, 17, 21, 198, 28, 220, 24, 18, 21, 271, 16011, 25, 19881, 31340, 315, 5109, 705, 311, 220, 20, 15, 311, 11625, 1741, 5322, 6707, 382, 13314, 1752, 3990, 220, 17, 510, 9885, 279, 1372, 304, 1992, 315, 279, 3405, 1868, 510, 30, 284, 9334, 3704, 315, 320, 15, 13, 17, 20, 856, 220, 15, 13, 18, 21, 8, 856, 220, 16, 14, 18, 15, 271, 1986, 943, 572, 28292, 4135, 320, 258, 1537, 1042, 39686, 568, 8278, 825, 3166, 498, 614, 311, 1414, 311, 11625, 1741, 5322, 374, 279, 4396, 21448, 315, 12122, 1459, 304, 9334, 19703, 382, 7039, 1077, 601, 11625, 279, 3403, 3491, 382, 37476, 3704, 315, 320, 15, 13, 17, 20, 856, 220, 15, 13, 18, 21, 8, 856, 220, 16, 14, 18, 15, 198, 28, 9334, 3704, 315, 320, 15, 13, 17, 20, 8, 856, 9334, 3704, 315, 320, 15, 13, 18, 21, 8, 856, 220, 16, 14, 18, 15, 198, 28, 220, 15, 13, 20, 856, 220, 15, 13, 21, 856, 220, 16, 14, 18, 15, 198, 28, 220, 15, 13, 18, 15, 856, 220, 16, 14, 18, 15, 198, 28, 220, 15, 13, 15, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2, 220, 20, 19, 16, 24, 19, 320, 4082, 692, 20, 19, 11, 16, 24, 19, 320, 69, 38624, 41017, 16183, 825, 7739, 77876, 41017, 8, 374, 458, 1496, 4236, 1737, 18667, 27714, 1372, 2701, 220, 20, 19, 16, 24, 18, 323, 37746, 220, 20, 19, 16, 24, 20, 13, 758, 12344, 44197, 11, 432, 374, 5326, 438, 220, 20, 13, 19, 16, 24, 19, 24768, 220, 16, 15, 19, 13, 576, 2629, 315, 1181, 18509, 374, 220, 17, 18, 13, 1084, 702, 264, 2790, 315, 220, 20, 10250, 9363, 323, 220, 16, 21, 6785, 3429, 41214, 13, 2619, 525, 220, 17, 17, 11, 24, 18, 17, 6785, 25780, 320, 454, 311, 220, 20, 19, 16, 24, 19, 8, 429, 525, 12040, 10250, 311, 220, 20, 19, 16, 24, 19, 382, 565, 14625, 5888, 271, 6667, 2160, 12518, 30, 2308, 198, 6667, 5624, 49615, 7418, 198, 6667, 5624, 3084, 220, 20, 198, 6667, 8116, 315, 422, 18667, 220, 17, 18, 198, 6667, 14102, 18854, 220, 20, 271, 565, 3988, 271, 12472, 829, 220, 20, 19, 16183, 220, 16, 24, 19, 32417, 41017, 16183, 825, 7739, 77876, 41017, 271, 565, 2806, 367, 271, 50565, 1086, 44197, 220, 20, 13, 19, 16, 24, 19, 24768, 220, 16, 15, 19, 220, 20, 19, 13, 16, 24, 19, 24768, 220, 16, 15, 18, 271, 565, 12518, 37729, 2022, 315, 220, 20, 19, 16, 24, 19, 271, 32306, 37729, 2022, 220, 17, 24768, 220, 22, 18, 24768, 220, 22, 24, 271, 41685, 1372, 198, 72767, 67218, 10657, 67218, 87881, 17383, 231, 1445, 8, 220, 18, 10657, 1372, 315, 12460, 10250, 9363, 7851, 102, 1445, 8, 220, 20, 10657, 1372, 315, 10250, 9363, 8862, 1445, 8, 220, 16, 16, 15, 21, 5643, 315, 279, 12460, 10250, 5109, 48338, 1445, 8, 481, 16, 5184, 279, 49615, 315, 7851, 102, 1445, 701, 1741, 429, 48338, 1445, 8, 284, 10293, 16, 8, 144572, 1445, 8, 32883, 1445, 8, 220, 15, 5184, 25, 220, 16, 11, 421, 308, 702, 458, 1496, 1372, 315, 10250, 9363, 320, 437, 374, 9334, 1910, 8, 24196, 16, 11, 421, 308, 702, 458, 10322, 1372, 315, 10250, 9363, 320, 437, 374, 9334, 1910, 8, 220, 15, 11, 421, 308, 702, 264, 52263, 10250, 8168, 7851, 249, 1445, 8, 220, 15, 5184, 1487, 1295, 8, 421, 308, 374, 264, 2355, 22458, 315, 894, 10250, 281, 320, 1958, 894, 595, 2604, 220, 16, 701, 770, 4675, 220, 15, 271, 785, 10250, 8168, 2022, 315, 220, 20, 19, 11, 16, 24, 19, 374, 220, 17, 24768, 220, 22, 18, 24768, 220, 22, 24, 13, 8704, 432, 702, 264, 2790, 315, 220, 20, 10250, 9363, 11, 220, 20, 19, 11, 16, 24, 19, 374, 264, 27714, 1372, 382, 565, 8765, 41214, 315, 220, 20, 19, 16, 24, 19, 271, 16, 11, 220, 17, 11, 220, 22, 11, 220, 16, 19, 11, 220, 19, 24, 11, 220, 22, 24, 11, 220, 24, 23, 11, 220, 16, 20, 23, 11, 220, 18, 19, 18, 11, 220, 20, 20, 18, 11, 220, 21, 23, 21, 11, 220, 16, 16, 15, 21, 11, 220, 18, 23, 22, 16, 11, 220, 22, 22, 19, 17, 11, 220, 17, 22, 15, 24, 22, 11, 220, 20, 19, 16, 24, 19, 271, 16, 21, 3429, 41214, 271, 7418, 3429, 41214, 220, 23, 220, 23, 220, 19, 220, 19, 198, 7595, 8765, 41214, 8116, 315, 8765, 41214, 14583, 13492, 8116, 38470, 1445, 8, 220, 16, 21, 10657, 1372, 315, 279, 6785, 3429, 41214, 315, 308, 47723, 1445, 8, 220, 24, 21, 15, 15, 15, 8116, 315, 678, 279, 6785, 3429, 41214, 315, 308, 274, 1445, 8, 220, 19, 16, 23, 15, 21, 8116, 315, 279, 6169, 6785, 3429, 41214, 315, 308, 362, 1445, 8, 220, 21, 15, 15, 15, 5184, 279, 2629, 315, 3429, 41214, 320, 43928, 1445, 593, 17779, 553, 279, 2790, 1372, 315, 3429, 41214, 320, 35824, 1445, 593, 479, 1445, 8, 220, 17, 18, 17, 13, 22, 24, 21, 5184, 279, 55129, 3704, 315, 279, 1985, 315, 308, 3429, 41214, 472, 1445, 8, 220, 24, 13, 15, 18, 17, 18, 18, 5184, 279, 2790, 1372, 315, 3429, 41214, 320, 35824, 1445, 593, 17779, 553, 279, 2629, 315, 279, 86198, 315, 1817, 3429, 41214, 271, 785, 1372, 220, 20, 19, 11, 16, 24, 19, 646, 387, 17779, 553, 220, 16, 21, 6785, 3429, 41214, 320, 411, 315, 892, 220, 23, 525, 1496, 11, 323, 220, 23, 525, 10322, 568, 576, 2629, 315, 1493, 3429, 41214, 320, 1830, 287, 220, 20, 19, 11, 16, 24, 19, 8, 374, 220, 24, 21, 11, 15, 15, 15, 11, 279, 5461, 374, 220, 21, 11, 15, 15, 15, 382, 565, 6944, 92984, 23550, 320, 77, 284, 220, 20, 19, 16, 24, 19, 692, 16, 97875, 1445, 8, 308, 198, 36, 8479, 38020, 1167, 34452, 59708, 44521, 12518, 20636, 97875, 1445, 8, 220, 17, 17, 24, 18, 17, 10657, 1372, 315, 6785, 25780, 537, 7046, 1091, 308, 429, 525, 6162, 81, 545, 311, 308, 48338, 1445, 8, 220, 18, 23, 17, 17, 4388, 19236, 6785, 1372, 1741, 429, 264, 33486, 1445, 8, 21103, 94, 220, 16, 320, 2593, 308, 8, 369, 678, 264, 6162, 81, 545, 311, 308, 51745, 1445, 8, 21103, 230, 220, 20, 20, 16, 20, 10657, 1372, 315, 49433, 2686, 1091, 476, 6144, 311, 308, 435, 17, 1445, 8, 220, 15, 576, 1372, 315, 5510, 308, 646, 387, 15251, 438, 279, 2629, 315, 220, 17, 31340, 271, 3862, 525, 220, 17, 17, 11, 24, 18, 17, 6785, 25780, 320, 1717, 1091, 220, 20, 19, 11, 16, 24, 19, 8, 429, 525, 6162, 81, 545, 448, 220, 20, 19, 11, 16, 24, 19, 13, 1597, 1052, 525, 13187, 220, 20, 11, 20, 16, 20, 10250, 5109, 2686, 1091, 476, 6144, 311, 220, 20, 19, 11, 16, 24, 19, 382, 565, 8765, 285, 3147, 315, 220, 20, 19, 16, 24, 19, 271, 296, 308, 1463, 296, 220, 17, 220, 18, 220, 19, 220, 20, 220, 21, 220, 22, 220, 23, 220, 24, 220, 15, 220, 17, 220, 17, 220, 19, 220, 17, 220, 15, 220, 17, 220, 20, 271, 785, 1372, 220, 20, 19, 11, 16, 24, 19, 374, 74916, 553, 220, 17, 323, 220, 22, 382, 565, 54882, 315, 220, 20, 19, 16, 24, 19, 271, 6667, 92984, 198, 6667, 3892, 5385, 271, 14374, 17399, 1238, 4566, 3151, 36398, 271, 6667, 3651, 632, 198, 6667, 11581, 2832, 1082, 65628, 810, 271, 6667, 2869, 44184, 271, 565, 5351, 14409, 320, 20, 19, 16, 24, 19, 692, 3978, 739, 5162, 198, 17, 17718, 220, 16, 16, 15, 16, 15, 15, 16, 16, 16, 15, 16, 16, 15, 15, 16, 15, 198, 18, 350, 932, 658, 220, 17, 17, 15, 17, 16, 15, 15, 15, 16, 17, 198, 19, 3406, 13375, 658, 220, 18, 16, 15, 18, 17, 18, 15, 17, 198, 20, 3406, 3287, 220, 18, 17, 16, 18, 17, 18, 19, 198, 21, 5363, 658, 220, 16, 15, 20, 19, 20, 17, 17, 198, 23, 4915, 278, 220, 16, 20, 16, 21, 21, 17, 198, 16, 15, 26728, 220, 20, 19, 16, 24, 19, 198, 16, 17, 15687, 534, 87099, 220, 17, 22, 19, 19, 17, 198, 17, 15, 57101, 29472, 220, 21, 69, 24, 68, 198, 18, 21, 5351, 18, 21, 220, 16, 20, 665, 271, 565, 14625, 28117, 320, 77, 284, 220, 20, 19, 16, 24, 19, 692, 14374, 58712, 1693, 271, 77, 17568, 88, 198, 308, 17568, 17, 220, 16, 15, 23, 18, 23, 23, 220, 16, 21, 17, 20, 23, 17, 220, 17, 16, 21, 22, 22, 21, 220, 17, 22, 15, 24, 22, 15, 271, 14374, 14489, 271, 77, 144422, 88, 198, 308, 144422, 17, 220, 17, 22, 15, 24, 22, 220, 16, 23, 15, 21, 19, 13, 22, 220, 16, 18, 20, 19, 23, 13, 20, 220, 16, 15, 23, 18, 23, 13, 23, 271, 14374, 1374, 1146, 7101, 271, 3834, 198, 308, 17, 220, 17, 24, 18, 21, 24, 23, 24, 21, 18, 21, 220, 16, 20, 24, 16, 21, 22, 17, 16, 21, 18, 18, 18, 18, 23, 19, 220, 23, 21, 17, 20, 24, 15, 23, 16, 17, 16, 24, 22, 16, 19, 16, 17, 19, 24, 21, 220, 19, 21, 22, 19, 22, 17, 19, 21, 19, 22, 21, 17, 16, 16, 23, 22, 17, 23, 23, 15, 23, 17, 17, 19, 271, 14374, 451, 339, 18854, 271, 88, 144336, 77, 198, 220, 17, 144336, 77, 220, 17, 18, 17, 13, 22, 24, 21, 220, 18, 22, 13, 23, 19, 17, 23, 220, 16, 20, 13, 17, 20, 22, 22, 220, 23, 13, 23, 19, 21, 23, 23, 271, 565, 220, 20, 19, 16, 24, 19, 438, 52484, 20816, 271, 14374, 21224, 271, 75561, 220, 16, 15, 23, 18, 23, 23, 220, 18, 19, 15, 20, 16, 16, 220, 24, 13, 17, 17, 21, 23, 18, 68, 10, 15, 24, 271, 14374, 54499, 271, 20265, 220, 21, 13, 21, 21, 22, 16, 23, 68, 10, 16, 19, 220, 18, 13, 21, 24, 15, 22, 18, 68, 10, 16, 15, 220, 18, 19, 15, 20, 16, 16, 271, 14374, 15619, 271, 4373, 284, 308, 198, 3616, 25334, 220, 17, 16, 21, 22, 22, 21, 220, 17, 13, 24, 18, 21, 24, 24, 68, 10, 15, 24, 220, 22, 21, 21, 19, 16, 13, 24, 271, 14374, 42592, 271, 4373, 284, 308, 198, 26963, 3082, 220, 16, 13, 22, 21, 17, 16, 24, 68, 10, 16, 15, 220, 16, 13, 20, 24, 16, 21, 22, 68, 10, 16, 19, 220, 24, 18, 23, 21, 21, 13, 23, 271, 14374, 11702, 42939, 38031, 271, 4373, 284, 308, 198, 3616, 25334, 220, 16, 21, 17, 20, 23, 17, 220, 16, 13, 17, 22, 16, 22, 20, 68, 10, 15, 24, 220, 19, 21, 24, 18, 18, 13, 19, 271, 14374, 12359, 4234, 82395, 271, 4373, 284, 308, 198, 26963, 3082, 220, 20, 13, 15, 23, 22, 15, 17, 68, 10, 15, 24, 220, 16, 13, 23, 22, 20, 23, 68, 10, 16, 18, 220, 19, 19, 17, 19, 24, 13, 17, 271, 565, 37447, 12679, 6531, 23550, 271, 2277, 20, 220, 19, 16, 68, 23, 19, 16, 21, 23, 66, 17, 15, 69, 20, 24, 67, 21, 24, 23, 69, 24, 24, 13233, 19, 21, 9789, 21, 21, 17, 20, 220, 20, 15, 69, 24, 20, 96289, 23, 22, 24, 69, 15, 67, 23, 18, 18, 66, 631, 17, 67, 578, 22, 24, 22, 22, 65, 18, 22, 66, 23, 15, 64, 15, 21, 15, 17, 282, 18, 15, 16, 16, 17, 23, 21, 15, 24, 16, 5305, 68, 21, 17, 1999, 21, 15, 67, 21, 17, 18, 66, 22, 16, 68, 23, 67, 22, 17, 23, 21, 16, 20, 18, 346, 22, 20, 67, 21, 24, 20, 64, 21, 66, 16, 67, 21, 23, 7221, 23, 69, 21, 19, 18, 17, 69, 24, 65, 20, 2218, 68, 19, 6066, 22, 21, 24, 638, 23, 18, 22, 17, 3065, 18, 21, 22, 16, 16, 23, 21, 22, 18, 20, 66, 19, 24, 21, 22, 67, 7221, 16, 22, 21, 18, 67, 17, 66, 17, 65, 21, 24, 18, 2940, 23, 67, 22, 22, 16, 65, 21, 20, 69, 22, 24, 66, 16, 22, 22, 65, 24, 64, 15, 22, 16, 21, 68, 19, 66, 631, 24, 22, 67, 21, 64, 15, 20, 16, 18, 20, 23, 68, 5305, 16, 24, 24, 5305, 23, 22, 67, 24, 65, 22, 23, 15, 21, 15, 69, 24, 20, 68, 20, 66, 16, 69, 20, 5645, 18, 17, 66, 23, 15, 21, 21, 64, 23, 20, 23, 220, 20, 2127, 22, 66, 15, 23, 68, 24, 16, 4385, 16, 16, 19, 21, 2577, 4385, 17, 7221, 20, 19, 20, 24, 69, 21, 22, 24, 66, 23, 20, 68, 20, 4645, 17, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7542, 553, 32911, 271, 820, 16209, 37113, 448, 10771, 897, 4428, 311, 49842, 220, 16, 15, 15, 1447, 5632, 553, 25, 8883, 943, 510, 16749, 2088, 510, 62078, 2188, 1447, 14374, 2619, 525, 220, 22, 20, 3059, 271, 68324, 40894, 861, 34713, 323, 279, 5624, 739, 861, 10771, 897, 271, 14374, 49842, 220, 16, 15, 15, 271, 67331, 13081, 220, 22, 311, 220, 16, 19, 25257, 9395, 1447, 24051, 3040, 2155, 18509, 504, 220, 16, 12, 24, 323, 2182, 825, 304, 1817, 3745, 773, 429, 279, 12942, 3040, 1378, 48342, 5109, 912, 311, 264, 2790, 315, 220, 16, 15, 15, 382, 14374, 9043, 323, 9043, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 4340, 1657, 9904, 646, 498, 1477, 311, 419, 2629, 30, 8886, 315, 279, 2155, 11931, 13352, 369, 264, 2155, 1372, 382, 14374, 52783, 3179, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 785, 11931, 304, 279, 2701, 5256, 2629, 4009, 279, 18509, 220, 16, 2503, 220, 24, 13, 1416, 362, 28, 18, 323, 422, 28, 17, 11, 1128, 1372, 374, 15251, 553, 330, 34, 3022, 53849, 93670, 14374, 20761, 8116, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 9885, 279, 2750, 315, 279, 11627, 11931, 304, 279, 2629, 25, 80037, 488, 83848, 284, 31336, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 23107, 279, 11931, 448, 5109, 311, 1281, 279, 5256, 975, 700, 12440, 13, 431, 468, 362, 422, 488, 350, 472, 358, 328, 284, 393, 362, 479, 468, 271, 14374, 81393, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 23107, 1817, 6524, 448, 264, 15723, 311, 1281, 419, 5256, 4396, 382, 14374, 36028, 92048, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 32, 1809, 311, 387, 6342, 2348, 279, 6366, 11, 476, 304, 5203, 13, 19725, 264, 220, 22, 48342, 1372, 13, 362, 4194, 15723, 374, 7907, 13, 3555, 1969, 498, 1186, 81, 531, 311, 4057, 279, 15723, 504, 697, 1372, 30, 279, 1156, 311, 7168, 14816, 382, 14374, 28859, 476, 451, 14980, 369, 9043, 271, 67331, 13081, 220, 22, 311, 220, 16, 19, 25257, 9395, 1447, 8373, 11610, 2938, 3217, 2823, 28859, 476, 451, 14980, 369, 458, 6683, 323, 1682, 13, 5443, 697, 6540, 315, 1992, 897, 311, 9382, 697, 14704, 382, 14374, 2009, 279, 422, 18667, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 1986, 46444, 5711, 1817, 315, 279, 18509, 220, 15, 481, 220, 24, 3055, 323, 3055, 1172, 13, 12091, 279, 1995, 2661, 11, 646, 498, 8290, 279, 9759, 304, 279, 21937, 448, 12396, 1939, 14374, 15920, 63621, 1939, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 3862, 525, 4743, 5109, 5326, 304, 4236, 2155, 19502, 13, 2980, 498, 3378, 700, 892, 374, 892, 1939, 14374, 576, 62194, 4050, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 4854, 1682, 304, 3228, 220, 18, 3867, 3040, 5109, 700, 315, 279, 8968, 13, 10479, 1030, 1865, 279, 8426, 1496, 1372, 1939, 14374, 3776, 33529, 311, 29948, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 3479, 553, 10687, 825, 3526, 320, 16, 220, 15, 15, 15, 220, 15, 15, 15, 8, 1119, 279, 3037, 315, 697, 29952, 13, 2980, 498, 7949, 419, 311, 220, 22, 1667, 1101, 279, 220, 22, 1376, 323, 912, 11, 32256, 11, 30270, 11, 21749, 323, 16819, 438, 1657, 3039, 438, 498, 1075, 1939, 14374, 18971, 5893, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 32, 2906, 5492, 2311, 5610, 220, 22, 15, 15, 11674, 13, 576, 5109, 315, 279, 11674, 525, 12596, 553, 34171, 3281, 2613, 3175, 48342, 7411, 13, 3555, 374, 279, 8028, 1372, 315, 2613, 7411, 429, 374, 4362, 1939, 14374, 350, 285, 28650, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 1986, 5256, 2629, 5711, 678, 5779, 18509, 220, 15, 11, 220, 16, 11, 220, 17, 1112, 24, 6896, 3055, 13, 7379, 279, 2629, 323, 1473, 429, 279, 825, 498, 2968, 374, 279, 1172, 13038, 382, 67331, 13081, 220, 20, 311, 220, 16, 16, 25257, 9395, 1447, 15191, 1053, 429, 7842, 7691, 944, 387, 2464, 1939, 14374, 20690, 12886, 1223, 481, 25094, 5624, 271, 67331, 13081, 220, 20, 311, 220, 16, 16, 25257, 9395, 1447, 2833, 5322, 369, 304, 70094, 6028, 52143, 382, 14374, 20690, 11765, 1262, 481, 25094, 5624, 271, 67331, 13081, 220, 20, 311, 220, 16, 16, 25257, 9395, 1447, 2833, 5322, 518, 6028, 2188, 429, 1373, 16585, 17879, 382, 14374, 17097, 279, 56645, 3714, 24163, 220, 16, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 10253, 1378, 22120, 311, 6923, 1378, 5109, 448, 825, 12122, 1992, 13, 3555, 8573, 979, 498, 4778, 1493, 5109, 311, 279, 23480, 4361, 1372, 1939, 14374, 7767, 23450, 328, 6237, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 641, 419, 220, 16, 15, 15, 9334, 11, 1401, 518, 279, 6176, 9334, 892, 5610, 279, 5109, 220, 17, 11, 220, 18, 11, 220, 16, 17, 323, 220, 16, 18, 13, 3555, 374, 279, 2629, 315, 279, 5109, 429, 525, 84018, 745, 14002, 1817, 1008, 30, 3555, 653, 498, 5293, 1939, 14374, 356, 6737, 87270, 15619, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 1986, 220, 16, 15, 15, 9334, 502, 86924, 374, 5326, 304, 2038, 13, 1084, 8471, 448, 220, 16, 323, 10335, 448, 220, 16, 15, 15, 13, 2980, 498, 1936, 432, 705, 1939, 14374, 71059, 58712, 642, 220, 17, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 6713, 498, 975, 700, 1045, 2155, 5510, 311, 8172, 419, 23606, 1939, 14374, 12475, 9695, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 6713, 498, 8290, 279, 11931, 448, 5109, 30, 2160, 1052, 1172, 825, 6291, 304, 1817, 1142, 1939, 14374, 71059, 58712, 642, 220, 16, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 6713, 498, 4583, 419, 21937, 553, 21274, 304, 279, 7402, 5109, 30, 758, 1246, 1657, 2155, 5510, 646, 498, 653, 432, 1939, 14374, 56645, 88, 24883, 304, 7083, 369, 9043, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 80995, 88, 24883, 369, 458, 6683, 323, 1682, 13, 2980, 498, 633, 3265, 311, 220, 16, 15, 15, 15, 1091, 697, 8263, 1939, 14374, 71465, 8116, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 3838, 374, 279, 2629, 315, 678, 279, 18509, 304, 678, 279, 25780, 504, 825, 311, 825, 3526, 1939, 14374, 17097, 279, 56645, 3714, 24163, 220, 17, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 3838, 8573, 979, 498, 4778, 1493, 5109, 311, 279, 23480, 4361, 1372, 1939, 14374, 17097, 279, 14513, 56645, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 3838, 8573, 979, 498, 4778, 1493, 2326, 48342, 5109, 311, 279, 23480, 220, 16, 15, 15, 1939, 14374, 40580, 279, 422, 18667, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 6713, 498, 30893, 279, 18509, 220, 16, 11, 17, 11, 18, 11, 19, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24, 1119, 2326, 220, 18, 48342, 5109, 1741, 429, 862, 2790, 374, 3265, 311, 220, 16, 20, 15, 15, 1939, 14374, 3719, 26425, 84484, 271, 67331, 13081, 220, 22, 311, 220, 16, 19, 25257, 9395, 1447, 21453, 700, 1045, 28117, 13, 8713, 498, 14453, 553, 279, 3059, 1939, 14374, 71059, 58712, 642, 220, 18, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 12116, 264, 728, 518, 43363, 419, 23606, 13, 2980, 498, 1477, 2155, 5510, 315, 3730, 432, 1939, 67331, 13081, 220, 20, 311, 220, 16, 16, 25257, 9395, 1447, 21453, 700, 419, 1372, 14068, 13, 3555, 8573, 448, 2155, 5916, 5109, 30, 3555, 653, 498, 5293, 1939, 14374, 40712, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 785, 1372, 220, 18, 22, 17, 18, 5900, 2331, 220, 16, 15, 8, 374, 5326, 438, 220, 16, 17, 18, 304, 2441, 2331, 13, 3555, 374, 429, 2331, 1939, 14374, 5624, 55279, 271, 67331, 13081, 220, 20, 311, 220, 16, 16, 25257, 9395, 1447, 12480, 279, 42675, 311, 1477, 279, 22531, 1372, 382, 14374, 38420, 92578, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 36953, 279, 1372, 315, 3039, 264, 2003, 429, 498, 8180, 17931, 13, 1096, 1372, 1969, 387, 803, 1091, 825, 714, 2686, 1091, 5779, 13, 71059, 419, 1372, 553, 220, 17, 13, 2691, 220, 20, 320, 1958, 7270, 568, 71059, 553, 220, 20, 15, 1112, 2980, 498, 10339, 3170, 432, 13, 659, 659, 6762, 14374, 29080, 553, 34713, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 6713, 498, 27679, 5109, 369, 279, 11931, 304, 1493, 36398, 1939, 14374, 55036, 398, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 9885, 279, 2629, 315, 678, 2326, 48342, 5109, 1817, 315, 6693, 18509, 374, 10322, 382, 14374, 19360, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 641, 279, 46444, 21937, 11, 1045, 315, 279, 18509, 614, 1012, 12575, 553, 11931, 323, 3800, 553, 33937, 92834, 13, 2980, 498, 43828, 279, 4024, 46444, 1939, 14374, 18680, 2160, 279, 8116, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 3838, 653, 279, 18509, 304, 279, 1372, 36655, 912, 705, 311, 30, 2585, 1657, 1008, 5109, 614, 18509, 448, 279, 1852, 2790, 714, 902, 17516, 1939, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 47, 15965, 315, 5109, 35692, 304, 14861, 5510, 13, 11778, 264, 1401, 518, 1045, 315, 1493, 323, 1430, 311, 10339, 3170, 807, 525, 830, 382, 14374, 29948, 3138, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 785, 1372, 220, 17, 22, 374, 3281, 1576, 432, 374, 2326, 3039, 279, 2629, 315, 1181, 18509, 220, 17, 22, 284, 220, 18, 320, 17, 488, 220, 22, 568, 7379, 1045, 1378, 15723, 5109, 429, 525, 5052, 41022, 3039, 279, 2629, 315, 862, 18509, 320, 80185, 5239, 5109, 73530, 14374, 89934, 81393, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 17814, 894, 3040, 15723, 1372, 13, 14561, 279, 1156, 15723, 311, 279, 835, 323, 3271, 279, 2732, 3156, 13, 4695, 912, 697, 1378, 5109, 13, 14568, 498, 633, 264, 5248, 315, 220, 16, 16, 1939, 14374, 20690, 48581, 1388, 481, 25094, 5624, 271, 67331, 13081, 220, 20, 311, 220, 16, 16, 25257, 9395, 1447, 2833, 5322, 518, 6028, 2188, 311, 975, 389, 448, 3800, 382, 14374, 19643, 44073, 271, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 37175, 678, 1378, 15723, 5109, 320, 16, 15, 11, 220, 16, 16, 11, 659, 659, 659, 1154, 24, 24, 568, 758, 4378, 1495, 678, 1493, 5109, 11, 892, 18509, 12170, 3245, 3545, 11, 323, 892, 12170, 1429, 3545, 937, 3555, 911, 2326, 15723, 5109, 11, 3040, 15723, 5109, 13, 659, 659, 6762, 14374, 20690, 1800, 321, 1167, 481, 25094, 5624, 271, 67331, 13081, 220, 20, 311, 220, 16, 16, 25257, 9395, 1447, 2833, 5322, 518, 6028, 2188, 429, 1231, 1373, 54962, 382, 14374, 87601, 594, 5624, 1818, 890, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 3430, 377, 88, 3465, 264, 1372, 88586, 892, 7299, 7202, 553, 220, 20, 323, 32256, 82, 220, 19, 13, 3555, 653, 498, 5293, 911, 279, 5109, 429, 432, 18644, 30, 2980, 498, 10339, 697, 14613, 1939, 14374, 23240, 264, 28811, 1939, 67331, 13081, 220, 16, 16, 311, 220, 16, 19, 25257, 9395, 1447, 38687, 315, 264, 1378, 15723, 1372, 11, 9931, 279, 18509, 11, 323, 912, 279, 5109, 3786, 13, 24656, 3281, 8573, 2146, 14374, 576, 5624, 619, 3551, 1536, 271, 67331, 13081, 220, 22, 311, 220, 16, 19, 25257, 9395, 1447, 785, 5624, 619, 3551, 1536, 646, 2677, 975, 700, 697, 11882, 7735, 13, 2980, 498, 975, 700, 1246, 1939, 14374, 46747, 4504, 287, 271, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 33876, 63956, 279, 2155, 5510, 1493, 36119, 1760, 304, 419, 8645, 13, 1446, 1410, 1191, 553, 7274, 911, 1246, 1817, 315, 1105, 1035, 3270, 1039, 1372, 220, 22, 382, 14374, 3555, 3155, 1446, 14656, 1939, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 26972, 315, 1493, 42675, 525, 4362, 311, 1477, 279, 11882, 1372, 389, 419, 5827, 323, 3040, 525, 830, 714, 653, 4302, 311, 1492, 304, 9271, 279, 1372, 13, 2980, 498, 3378, 700, 279, 42675, 323, 1477, 279, 1372, 1939, 14374, 15920, 2160, 3406, 5215, 1939, 67331, 13081, 220, 22, 311, 220, 16, 16, 25257, 9395, 1447, 23085, 374, 38292, 11, 25009, 705, 311, 220, 18, 15, 304, 6174, 476, 25009, 705, 311, 220, 18, 15, 15, 304, 22008, 30, 8429, 30 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]