Search is not available for this dataset
input_ids
sequence
attention_mask
sequence
[ 258, 1891, 160, 17623, 3909, 38, 12, 125, 3, 88, 1114, 160, 12, 103, 416, 3, 5, 1, 255, 258, 474, 8, 3, 23565, 1464, 223, 139, 160, 4247, 3, 6, 11, 2348, 8, 5812, 7, 3117, 3909, 28, 14241, 3, 6, 250, 255, 2124, 79, 764, 1461, 45, 8581, 12, 376, 3, 5, 1, 255, 1224, 530, 8, 5168, 13, 34, 11, 160, 2231, 3798, 4019, 3, 5, 1, 1116, 3, 6, 160, 1021, 7524, 130, 3, 4707, 26, 53, 95, 11, 323, 114, 46, 625, 813, 3, 5, 1, 5812, 3, 9, 26, 23589, 3, 26, 3142, 1171, 7533, 112, 1021, 1236, 1912, 160, 9587, 28, 12768, 3, 6, 11, 1800, 112, 7012, 918, 1587, 8, 7814, 500, 3, 5, 1, 116, 8, 5069, 11322, 19, 1883, 3, 6, 103, 59, 20370, 34, 3, 5, 1, 1520, 34, 16, 39, 4247, 11, 752, 34, 2153, 1551, 28, 8, 2829, 5403, 12258, 30, 8, 3, 23565, 1464, 3, 5, 1, 116, 3, 23, 428, 25, 8, 3240, 3, 6, 25, 56, 20370, 8, 4989, 11, 752, 34, 6001, 39, 6721, 7496, 7, 3, 6, 24088, 160, 3145, 3, 5, 1, 158, 9559, 6997, 160, 25681, 11, 1116, 255, 4321, 4759, 8, 5798, 11, 752, 34, 3827, 15, 8, 3, 23565, 1464, 16, 160, 4247, 3, 5, 1, 255, 258, 2301, 160, 13559, 223, 11, 7444, 596, 6415, 12, 3, 5356, 342, 8, 4400, 78, 24, 34, 133, 394, 2153, 28, 8, 2829, 5403, 30, 8, 15634, 63, 3, 23565, 1464, 3, 5, 1, 5812, 3, 26, 3142, 1171, 3993, 26, 16, 5044, 38, 3, 88, 2299, 323, 139, 8, 786, 2053, 13, 8, 1021, 24556, 3609, 3, 9, 4247, 423, 13, 112, 2829, 4989, 3, 5, 1, 8, 385, 27363, 3, 115, 29000, 160, 2053, 38, 2299, 95, 9508, 120, 2794, 21, 112, 3240, 12, 8669, 3, 5, 1, 3, 9, 26, 23589, 14650, 160, 2093, 1021, 522, 11, 3, 13658, 88, 26, 16, 5565, 38, 3, 88, 2994, 8, 3, 49, 9798, 1831, 3, 5, 1, 3, 88, 20564, 26, 8, 2267, 3, 9, 360, 72, 3978, 11, 258, 5665, 150, 15748, 112, 819, 3, 5, 1, 158, 9559, 3, 120, 29, 29, 258, 752, 8, 9393, 12771, 9116, 5665, 323, 160, 17703, 3, 5, 1, 255, 1114, 12, 16, 4334, 24, 66, 13, 8, 534, 4989, 47, 6640, 12, 160, 6721, 7496, 7, 3, 5, 1, 8, 5812, 5723, 24, 3, 88, 906, 3, 9, 360, 676, 12, 16489, 112, 9121, 3, 6, 78, 3, 88, 3, 63, 9, 210, 29, 15, 26, 11, 243, 3, 6, 8857, 11761, 323, 11, 880, 21, 3, 9, 360, 676, 11, 258, 62, 56, 888, 12, 1147, 204, 3, 5, 1, 1147, 204, 3, 58, 1, 987, 8, 385, 24556, 3, 6, 28, 128, 13, 8, 534, 4989, 341, 3, 14043, 53, 30, 160, 1134, 3, 6, 385, 5571, 13559, 3, 5, 1, 4273, 3, 6, 16, 1147, 204, 3, 6, 62, 56, 6103, 8, 433, 3, 6, 68, 48, 97, 8, 3, 23565, 1464, 56, 5849, 39, 21546, 5624, 3, 5 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8, 1412, 879, 4356, 57, 72, 145, 1914, 5426, 11839, 68, 255, 3, 60, 235, 1825, 8, 3143, 16, 8, 1421, 4356, 57, 3, 24837, 11839, 5, 23619, 19, 92, 3, 9, 7759, 4917, 5, 17881, 7, 26241, 2416, 9537, 13, 8, 13782, 11993, 13782, 11882, 2449, 45, 8, 7263, 7615, 3460, 7434, 3879, 7, 5753, 151, 1401, 7, 17, 18, 14006, 797, 13446, 1, 9515, 10779, 1602, 19, 46, 1246, 625, 4387, 13, 2797, 13, 12520, 17, 4624, 2414, 6, 81, 3, 3390, 2280, 45, 26822, 60, 6, 5428, 107, 63, 9, 22660, 5, 94, 19, 6970, 30, 3, 26, 107, 1825, 8950, 210, 9, 41, 9, 239, 227, 2043, 5380, 23, 137, 1570, 48, 615, 20614, 7, 33, 9624, 11498, 3843, 16, 192, 1637, 7538, 52, 9, 13, 12520, 17, 4624, 2414, 11, 5740, 122, 23, 13, 391, 425, 23, 3309, 6, 113, 3211, 284, 119, 28, 9706, 9515, 10779, 7, 41, 9, 23471, 2728, 3, 18458, 28, 4740, 102, 2381, 588, 137, 506, 3811, 10779, 7, 116, 3, 10666, 1361, 16, 8, 5796, 3475, 12, 36, 5262, 2213, 11, 320, 786, 16, 8, 5796, 5, 100, 615, 764, 139, 13222, 2242, 116, 633, 151, 3977, 11, 186, 7532, 16, 8, 605, 5, 86, 1412, 34, 47, 2196, 24, 8, 1653, 96, 8399, 118, 30, 8, 3, 3877, 15, 16, 1100, 648, 121, 68, 34, 47, 25317, 26, 24, 215, 11, 741, 15, 26, 16, 80, 1687, 11, 633, 5157, 5, 86, 1421, 96, 29, 2741, 120, 7123, 7609, 130, 7532, 1686, 16, 4791, 80, 568, 3977, 11, 72, 145, 4475, 130, 4781, 6, 11, 8, 846, 615, 2237, 12, 460, 5157, 5, 17881, 7, 10160, 13, 5428, 107, 63, 9, 22660, 1, 707, 4599, 10498, 12588, 41, 7932, 507, 5373, 6, 10908, 15, 5206, 6, 5316, 3, 104, 850, 1600, 27598, 6, 411, 144, 6347, 6, 101, 63, 9818, 6, 2789, 6, 9742, 81, 3, 4608, 61, 47, 3, 9, 10027, 21, 8, 7764, 157, 2444, 15985, 20460, 6708, 6, 576, 18, 14435, 13, 8, 7764, 7807, 1888, 13, 6852, 21, 2830, 11, 3, 9, 4284, 18, 77, 18, 4207, 13, 8627, 3576, 7714, 5, 216, 47, 2170, 16, 10908, 15, 5206, 16, 5316, 11, 7226, 26, 44, 8, 6502, 636, 1121, 11, 8, 3671, 1888, 13, 180, 19623, 7, 16, 5316, 5, 216, 877, 12, 7764, 7807, 213, 3, 88, 47, 3, 9, 10027, 12, 8, 13390, 9107, 4457, 5, 707, 10498, 12588, 28, 707, 8643, 1140, 739, 11, 707, 25431, 1838, 8480, 5147, 8, 7764, 7807, 3721, 3467, 16, 1600, 507, 3840, 5, 37, 3467, 2127, 8, 7764, 7807, 1888, 13, 6852, 21, 2830, 16, 507, 4225, 84, 865, 13421, 139, 8, 636, 13, 7764, 7807, 5, 10498, 12588, 47, 92, 3, 9, 5812, 44, 8, 496, 5, 707, 5, 3068, 4701, 17, 18, 7, 35, 6, 5213, 13, 8, 496, 6, 2799, 376, 38, 80, 13, 112, 1516, 3081, 5, 707, 10498, 12588, 4464, 18726, 5744, 2666, 221, 1920, 15, 6, 3, 2544, 2749, 4806, 141, 4464, 3576, 7714, 6, 8, 5752, 2743, 13, 8, 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 ]
[ 5433, 6, 3181, 1258, 47, 3, 29, 9, 757, 11, 3300, 26676, 6, 298, 3, 476, 6090, 9, 19, 168, 18, 15, 4817, 920, 11, 19671, 5, 11066, 63, 6, 8, 3, 60, 10816, 4336, 6, 19, 5821, 57, 3, 9, 72, 614, 4632, 1215, 18, 1018, 6, 9101, 31, 7, 10382, 5237, 16082, 26, 138, 970, 2026, 15, 5, 4213, 6, 20876, 11, 16754, 41, 77, 11931, 13, 3, 476, 6090, 9, 61, 284, 22006, 3, 9, 22802, 30, 17495, 5, 11583, 11, 2850, 411, 1635, 1804, 53, 38, 26636, 23967, 6, 8206, 5, 26636, 19, 8, 2527, 13, 26636, 8206, 5, 22, 7, 11038, 49, 6921, 6, 166, 2946, 16, 22306, 38, 96, 14318, 2494, 31, 7, 11038, 49, 6921, 121, 57, 112, 2353, 26636, 23967, 6, 180, 52, 5, 216, 11, 112, 2512, 9101, 43, 3, 9, 520, 6, 10285, 63, 5, 37, 1848, 47, 166, 3, 27486, 16, 8, 926, 11038, 49, 6921, 814, 57, 11742, 18640, 15, 5, 350, 115, 4606, 9, 71, 2917, 15603, 346, 38, 3, 476, 6090, 9, 5, 389, 256, 12549, 17, 45, 7904, 6, 3, 476, 6090, 9, 21761, 24, 684, 12, 6754, 415, 4220, 17, 6855, 4756, 5, 216, 19, 57, 623, 8, 167, 168, 18, 15, 4817, 920, 1, 4886, 1294, 12925, 6, 3, 9, 3, 26, 19160, 13, 387, 45, 8, 3, 15, 16001, 41, 11656, 9, 6, 2328, 6, 3, 6615, 60, 6, 12, 1590, 201, 19, 8, 1657, 16, 4648, 787, 57, 1813, 2666, 2099, 302, 41, 208, 5, 3, 12703, 12, 8, 3, 26, 19160, 3, 15, 16001, 13, 8, 2955, 13, 8, 1754, 4502, 1608, 7657, 5, 18347, 3, 26, 19160, 3, 15, 16001, 16415, 16, 167, 13, 8, 6781, 531, 2234, 7657, 7, 16, 5314, 19694, 4985, 12, 8, 27, 4554, 7657, 7, 6, 213, 8, 387, 13, 8, 2955, 47, 4759, 16, 8, 3, 75, 63, 3357, 2552, 42, 16019, 11, 3, 12618, 91, 190, 8, 4247, 7, 13, 3, 7325, 7, 6, 3, 2544, 7701, 130, 3, 19619, 30, 8, 3, 75, 63, 3357, 2552, 5, 22239, 3385, 10900, 2479, 1, 71, 7899, 3684, 12899, 41, 4211, 517, 201, 92, 801, 38, 3, 9, 7899, 26924, 12899, 6, 19, 3, 9, 1144, 13, 8, 7899, 16829, 26924, 3684, 1531, 41, 14034, 7899, 3684, 12899, 272, 14748, 7325, 201, 3, 9, 3795, 17, 9, 7325, 18, 5120, 1470, 13, 8, 907, 1323, 7899, 16829, 41, 3063, 3698, 61, 3, 2544, 20, 17, 1836, 4128, 370, 1034, 44, 797, 10960, 6500, 15, 7, 6, 797, 6900, 14270, 7, 11, 119, 2314, 907, 1323, 3141, 6036, 224, 38, 8, 907, 1323, 8960, 12, 17873, 16, 20501, 6, 15575, 5, 37, 7899, 3684, 12899, 47, 9943, 7109, 134, 505, 26578, 6, 713, 48, 65, 2130, 12, 7109, 134, 505, 25463, 5, 37, 837, 3698, 65, 3, 9, 307, 892, 13, 8494, 28, 8, 412, 5, 134, 5, 1015, 1775, 6, 352, 223, 12, 8, 778, 477, 13, 8, 684, 5, 1029, 8, 7954, 13, 8, 797, 5692, 44, 660, 29, 9, 6, 2702, 3003, 6, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 1, 227, 3, 9, 798, 112, 6145, 22993, 855, 9, 1271, 3, 6, 11, 3, 88, 2120, 25119, 120, 3, 5, 1, 3, 2, 20850, 3, 14400, 7, 7048, 3, 6, 62, 103, 59, 174, 12, 36, 10058, 57, 25, 149, 18222, 225, 1865, 160, 293, 12748, 3, 5, 1, 68, 2361, 3, 23, 56, 7786, 25, 24, 112, 11197, 40, 4392, 3, 6, 8, 2147, 76, 15991, 15, 6444, 8170, 3, 6, 65, 641, 1622, 2103, 57, 28110, 24, 3, 88, 8286, 7, 12, 14467, 3991, 13, 3, 2388, 4710, 581, 39, 192, 10911, 3, 5, 1, 3, 88, 65, 6709, 24, 79, 36, 28462, 920, 11, 24, 25, 3, 6, 39, 11947, 7, 3, 6, 11, 39, 4627, 7, 36, 10250, 12, 281, 9, 21, 3689, 3, 5, 3, 31, 31, 1, 3, 14400, 7, 7048, 3, 31, 7, 842, 4910, 11, 3, 88, 14650, 4035, 4031, 7093, 3, 157, 2618, 16, 1028, 13726, 3, 5, 1, 78, 8, 3, 524, 402, 2565, 1588, 141, 3, 8199, 118, 46, 10553, 12, 240, 376, 139, 27325, 297, 3, 5, 1, 227, 3, 9, 798, 3, 88, 14537, 4632, 11, 3, 26, 60, 210, 2448, 3, 15, 12621, 3, 5, 1, 3, 2, 11, 3, 23, 497, 8, 2147, 12204, 40, 7, 130, 8, 2102, 6922, 38, 19910, 7, 3, 5, 1, 70, 3211, 30, 69, 22269, 11947, 904, 47, 16, 12374, 13, 8, 2665, 63, 13, 3065, 24, 230, 8085, 344, 3, 4606, 40, 232, 11, 4174, 77, 3, 6, 11, 57, 4924, 12, 8, 27825, 29, 2147, 12204, 40, 7, 3, 6, 113, 33, 230, 1327, 72, 145, 3, 9, 409, 7, 7, 138, 13, 8, 8438, 1273, 3, 1765, 3, 5, 3, 31, 31, 1, 3, 2, 4273, 3, 6, 3, 23, 3, 31, 162, 1943, 3, 24637, 13, 48, 2665, 63, 3, 5, 1, 62, 16, 18222, 33, 59, 4585, 28617, 13, 3, 28188, 3, 5, 1, 68, 112, 11197, 40, 4392, 177, 725, 132, 3, 31, 7, 136, 224, 2665, 63, 3, 16878, 12, 69, 10433, 7, 3, 5, 1, 38, 3, 23, 7881, 3, 88, 3, 16730, 3, 4606, 40, 232, 38, 46, 3368, 13, 29704, 53, 30285, 3, 6, 113, 225, 2367, 738, 12, 2495, 70, 293, 2805, 3, 5, 3, 31, 31, 1, 3, 2, 8, 2665, 63, 344, 3, 4606, 40, 232, 11, 4174, 77, 8085, 3, 5, 3, 31, 31, 1, 3, 14400, 7, 7048, 1500, 12, 9751, 8, 21548, 3, 5, 1, 3, 2, 62, 43, 2509, 26, 20850, 7, 11, 34, 19, 13242, 57, 321, 69, 3, 1765, 7, 3, 5, 1, 34, 3492, 966, 192, 4160, 13, 615, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 56, 5334, 25, 224, 3, 9, 2665, 63, 164, 5071, 3223, 3, 5, 1, 823, 34, 8275, 270, 3, 23, 103, 59, 214, 3, 5, 1, 3701, 3, 6, 26200, 3, 6, 103, 3, 23, 1989, 124, 3, 5, 1, 125, 3, 23, 103, 214, 3, 6, 22269, 20850, 3, 6, 19, 24, 25, 33, 182, 623, 45, 8, 973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 1, 6161, 34, 2088, 17, 21, 140, 12, 9681, 29, 15, 42, 24326, 3, 6, 82, 613, 47, 12, 2868, 251, 30, 149, 796, 18804, 141, 15228, 28, 8, 11612, 3, 6, 11, 284, 133, 428, 140, 3, 9, 315, 3503, 3, 5, 1, 3, 23, 1219, 376, 3, 117, 3, 7, 35, 127, 1076, 26, 457, 62, 225, 320, 163, 12, 8, 647, 11, 143, 417, 62, 737, 17, 6103, 69, 8176, 21, 103, 78, 133, 1892, 11708, 46, 73, 1893, 2029, 179, 3731, 3, 5, 1, 3, 23, 1219, 376, 62, 130, 352, 12, 112, 2837, 23578, 416, 3, 5, 1, 3, 88, 15240, 12, 36, 6195, 38, 3, 9, 8347, 13, 16723, 141, 16, 1106, 920, 3, 16377, 11, 34, 141, 708, 3, 9, 11709, 615, 3, 5, 1, 3, 23, 764, 550, 45, 8, 1338, 1829, 24, 237, 713, 48, 126, 789, 141, 1717, 30, 165, 1780, 79, 130, 3852, 295, 288, 11, 133, 36, 3, 89, 6254, 3, 6, 5057, 3, 6, 11, 514, 12, 161, 28, 3, 6, 937, 62, 410, 3, 29, 31, 17, 11178, 34, 95, 57, 5657, 128, 25851, 323, 12, 539, 14261, 1628, 3, 5, 1, 3, 23, 2832, 91, 3, 9, 307, 934, 12, 66, 152, 3, 21008, 82, 2441, 11, 1891, 34, 12, 3, 3441, 26, 3, 5, 1, 62, 6791, 26, 123, 3478, 13818, 21, 3, 9, 1158, 13, 477, 16, 975, 9309, 28, 2288, 14400, 3, 6, 5889, 8, 15806, 11, 3, 8035, 8, 7004, 103, 70, 589, 258, 62, 263, 69, 194, 12, 8, 25105, 1247, 44, 3, 1744, 288, 152, 265, 32, 10210, 12, 217, 149, 34, 141, 623, 15, 26, 3, 5, 1, 132, 130, 150, 17844, 34, 47, 131, 114, 6531, 1307, 62, 26, 5251, 3, 6, 9980, 15, 26, 11, 147, 20086, 3, 6, 62, 3, 8070, 8521, 3, 6, 243, 23281, 12, 8, 2288, 14400, 11, 7467, 21, 4244, 155, 23, 3, 5, 1, 14771, 141, 118, 18160, 8, 4740, 4627, 7, 3, 6, 62, 114, 8, 20634, 7, 141, 18358, 212, 10661, 1437, 13731, 30, 321, 4458, 13, 8, 4383, 79, 228, 36, 9539, 11, 3, 28556, 16, 131, 676, 3, 5, 1, 3, 354, 603, 141, 5259, 24, 66, 5803, 36, 4683, 596, 6026, 3, 5, 1, 3, 23, 4686, 11, 92, 1891, 186, 13, 8, 4627, 592, 12, 12710, 18371, 7, 3, 5, 1, 28, 78, 186, 13, 8, 4627, 3, 8715, 12, 8, 3841, 3, 6, 3, 23, 1800, 34, 47, 97, 12, 8260, 91, 128, 2219, 13, 3813, 3, 5, 1, 62, 133, 504, 150, 12815, 4424, 1433, 2957, 1321, 62, 15110, 84, 3679, 2627, 6026, 91, 13, 6398, 38, 231, 38, 487, 780, 578, 135, 8198, 3, 5, 1, 334, 3332, 133, 36, 263, 12, 453, 8, 4383, 45, 652, 139, 136, 773, 13, 1419, 213, 969, 62, 228, 36, 147, 4312, 24, 3679, 59, 9370, 7920, 139, 13818, 213, 69, 9780, 429, 36, 975, 22418, 3, 5, 1, 3, 99, 62, 3, 30858, 885, 12, 10433, 3, 6, 8, 1605, 133, 36, 1486, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3355, 21, 3, 5, 1, 12, 51, 6660, 13534, 5402, 112, 15424, 16, 1773, 12, 9858, 7, 9865, 320, 16, 112, 2212, 3, 5, 1, 258, 79, 3217, 3, 9, 341, 6419, 24, 79, 26, 118, 2924, 66, 471, 13, 836, 6961, 168, 7, 3, 6, 8, 13062, 13, 945, 9, 26, 32, 3, 6, 11, 28270, 26, 38, 12, 823, 112, 307, 3, 9, 13106, 7298, 47, 352, 12, 369, 16, 8, 416, 360, 477, 3, 5, 1, 3, 15, 40, 7043, 3, 22055, 160, 8425, 2957, 8, 1641, 3, 5, 1, 7406, 107, 47, 652, 7718, 13, 4125, 16, 8, 1365, 1343, 11, 764, 16, 11, 3, 7, 144, 30, 8, 6452, 3, 5, 1, 3, 23, 217, 3, 6, 243, 7406, 107, 3, 5, 1, 165, 4813, 3, 5, 1, 125, 3, 58, 1, 243, 9858, 3, 5, 1, 320, 44, 376, 3, 6, 388, 3, 6, 243, 7406, 107, 3, 5, 1, 39, 15, 59, 112, 520, 3, 5, 1, 39, 15, 112, 3, 3903, 29, 15, 3, 5, 1, 836, 6961, 168, 7, 3, 58, 1, 1380, 9858, 3, 5, 1, 310, 3, 58, 1, 103, 25, 214, 424, 81, 376, 3, 58, 1, 1380, 3, 15, 40, 7043, 3, 5, 1, 17945, 3, 6, 3, 23, 103, 3, 6, 243, 9858, 3, 5, 1, 62, 162, 118, 692, 3, 9, 1745, 16, 569, 2116, 81, 9768, 3, 5, 1, 3, 88, 3, 7, 144, 323, 213, 3, 88, 8190, 3, 6, 44, 112, 16449, 1922, 3, 5, 1, 112, 2241, 47, 396, 3164, 12, 317, 231, 81, 213, 3, 88, 474, 112, 643, 3, 5, 1, 2275, 210, 3, 6, 9858, 243, 3, 5, 1, 25, 9355, 17, 29744, 81, 600, 18, 715, 7702, 3, 5, 1, 150, 3, 5, 1, 3, 23, 2088, 17, 3, 6, 243, 3, 15, 40, 7043, 3, 5, 1, 256, 352, 12, 43, 12, 817, 376, 24, 8, 1712, 19, 91, 13, 8, 2182, 3, 5, 1, 256, 417, 3, 88, 2088, 17, 352, 12, 661, 6161, 3, 5, 1, 396, 231, 5113, 13, 3, 9, 600, 14605, 3, 5, 1, 2275, 210, 3, 6, 243, 9858, 541, 3, 5, 1, 54, 3, 23, 942, 376, 3, 58, 1, 3, 23, 3382, 24, 7, 95, 12, 376, 3, 6, 243, 3, 15, 40, 7043, 3, 5, 1, 3, 23, 2483, 214, 3, 5, 1, 2275, 210, 3, 6, 243, 9858, 21, 8, 1025, 97, 3, 5, 1, 112, 2241, 47, 1684, 12, 3579, 95, 3, 5, 1, 3, 99, 3, 23, 737, 17, 3223, 3, 88, 26, 36, 1180, 3, 6, 3290, 17, 3, 88, 3, 58, 1, 4273, 3, 6, 243, 3, 15, 40, 7043, 3, 5, 1, 4657, 376, 269, 3, 5, 1, 3, 88, 146, 18109, 140, 3, 6, 11, 25, 3, 6, 2199, 25, 9355, 17, 2170, 780, 3, 6, 78, 3, 88, 228, 129, 12, 48, 3, 5, 1, 11, 230, 3, 6, 21, 8, 337, 2081, 3, 6, 3, 88, 54, 17, 885, 8, 1154, 3, 5, 1, 3, 23, 3382, 3, 88, 2088 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38, 3, 23, 1800, 1512, 456, 12, 1590, 3, 6, 6733, 82, 2053, 38, 82, 42, 5556, 51, 2301, 323, 82, 14732, 12, 29690, 344, 82, 6217, 3, 5, 1, 3, 23, 3, 24781, 91, 3, 6, 3874, 112, 564, 11, 1829, 376, 1634, 95, 38, 3, 88, 2301, 581, 140, 3, 5, 1, 112, 10518, 3, 8918, 20994, 139, 82, 3, 107, 1935, 102, 7, 38, 3, 88, 3, 9951, 728, 3, 6, 4394, 3, 6, 3542, 202, 1222, 139, 82, 5378, 38, 3, 88, 764, 3, 5, 1, 1829, 217, 3138, 223, 139, 82, 643, 80, 3, 9577, 44, 3, 9, 97, 3, 5, 1, 3, 23, 1800, 2437, 11, 29435, 3, 6, 8247, 78, 21436, 3, 23, 228, 3, 10942, 453, 82, 2053, 539, 3, 5, 1, 56, 11612, 26, 581, 140, 3, 6, 112, 6522, 1312, 30, 82, 5378, 3, 6, 112, 1133, 14832, 28, 10242, 11, 615, 2726, 57, 8, 1472, 3, 5, 1, 3, 88, 3, 9951, 95, 2400, 112, 23630, 7, 11, 2299, 323, 44, 140, 3, 6, 112, 3893, 3, 26, 3623, 7, 63, 11, 2093, 11, 3, 9, 385, 30855, 3, 5, 1, 3, 2, 7102, 3, 6, 3, 31, 31, 3, 88, 243, 3, 6, 3, 9, 3, 2771, 32, 5100, 3993, 13441, 139, 286, 3, 5, 1, 3, 2, 8032, 21, 14801, 53, 139, 39, 2923, 3, 6, 21615, 18, 107, 10878, 3, 5, 3, 31, 31, 1, 3, 23, 3, 26402, 8, 4514, 122, 7, 45, 82, 29339, 11, 3993, 26, 223, 3, 5, 1, 3, 2, 25, 3, 31, 60, 2222, 132, 11008, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 3, 233, 3, 76, 107, 3, 6, 3, 31, 31, 3, 88, 708, 3, 6, 11, 24524, 3, 5, 1, 3, 2, 3, 23, 103, 3, 29, 31, 17, 1243, 12, 10505, 326, 68, 3, 23, 1843, 13, 3, 233, 174, 12, 1349, 95, 3, 5, 3, 31, 31, 1, 8, 20135, 485, 13, 8, 1297, 1419, 3776, 12, 11144, 95, 91, 13, 16715, 11, 3, 23, 708, 12, 8719, 3, 5, 1, 62, 130, 30, 112, 1501, 3, 6, 3, 23, 317, 3, 23, 141, 3, 9, 9585, 42, 424, 14467, 26, 365, 82, 223, 3, 6, 11, 3, 88, 3, 31, 26, 131, 369, 16, 112, 12792, 3, 5, 1, 3, 2, 3, 13133, 3, 6, 3, 31, 31, 3, 88, 243, 3, 5, 1, 3, 2, 103, 3, 29, 31, 17, 8719, 3, 5, 1, 3, 23, 243, 34, 3, 31, 26, 36, 39, 7828, 3, 5, 3, 31, 31, 1, 3, 23, 47, 8247, 78, 30071, 63, 11, 3, 2176, 5100, 82, 7524, 3, 5, 1, 3, 2, 281, 3, 6, 3, 31, 31, 3, 23, 243, 3, 6, 6234, 1222, 112, 223, 3, 5, 1, 3, 88, 17387, 15, 26, 140, 1835, 120, 3, 6, 4394, 30, 8, 7524, 274, 9759, 2448, 12, 1518, 11, 3214, 139, 8, 2582, 3, 5, 1, 3, 23, 3, 8070, 132, 21, 3, 9, 798, 3, 6, 10242, 16773, 30, 82, 1133, 11, 842, 1080 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10627, 44, 8, 11548, 5880, 16, 21474, 6, 11, 65, 1622, 9227, 12, 5978, 16, 334, 5550, 11548, 5880, 437, 258, 5, 17233, 19280, 65, 92, 10627, 16, 8, 4272, 11548, 5880, 437, 13480, 6, 68, 4785, 8, 5880, 13, 3581, 6, 8693, 11, 5832, 17233, 18037, 29, 9227, 43, 751, 3, 9, 792, 13, 3, 324, 9365, 7, 5, 7643, 9365, 7, 130, 751, 16, 1367, 53, 6, 192, 16, 1463, 11, 1057, 6, 80, 16, 9999, 6, 11, 80, 16, 24754, 5, 37, 17233, 18037, 29, 1157, 9600, 372, 751, 3, 9, 13467, 9365, 44, 8, 10414, 5550, 11548, 5880, 16, 28343, 6, 1013, 7054, 6, 68, 24, 9365, 19, 59, 3476, 15, 26, 859, 17233, 19280, 31, 7, 11548, 9365, 7, 792, 7, 250, 9600, 47, 163, 46, 4473, 2600, 383, 273, 1031, 5, 37, 868, 11548, 3201, 21, 17233, 19280, 47, 990, 16, 21474, 11, 4771, 57, 8, 1331, 11548, 3201, 24, 337, 215, 5, 3, 4868, 271, 294, 13, 8, 907, 1323, 6, 8, 2042, 18, 134, 102, 19834, 25004, 19, 59, 1944, 116, 17233, 18037, 29, 9216, 1369, 11548, 2045, 9365, 7, 5, 20002, 5056, 20002, 7, 57, 5550, 5880, 20002, 7, 57, 4272, 5880, 20002, 7, 57, 5550, 9452, 5880, 20002, 7, 57, 1248, 2600, 6792, 13, 9365, 343, 7, 1610, 92, 6792, 13, 5692, 4595, 277, 21, 17233, 19280, 44, 8, 17793, 17233, 19280, 11548, 3201, 3, 10, 18610, 6066, 651, 10, 667, 120, 51, 6174, 9216, 21, 17233, 19280, 28907, 9352, 44, 8, 4272, 17793, 17233, 19280, 44, 8, 4734, 120, 51, 6174, 7, 17881, 7, 26241, 2416, 11548, 15077, 257, 3, 9, 9149, 13, 24252, 16, 17233, 19280, 5, 16655, 9101, 7, 35, 5, 5716, 31477, 1542, 5, 220, 1797, 3070, 71, 29385, 209, 2083, 460, 2884, 5, 3, 25771, 5, 1, 96, 279, 3216, 8, 4004, 6090, 7, 7309, 4720, 19, 3, 9, 1138, 967, 5659, 6409, 12588, 710, 733, 57, 2715, 262, 5, 13816, 5, 94, 47, 5330, 1790, 16, 8, 1797, 957, 3341, 962, 13, 6776, 20406, 5, 17881, 7, 26241, 2416, 6792, 13, 1937, 11, 5707, 1030, 44, 13816, 12826, 7110, 1937, 57, 2715, 262, 5, 13816, 10035, 102, 1937, 957, 3341, 710, 1937, 7110, 1937, 81, 1367, 53, 12826, 5330, 1790, 16, 6776, 20406, 1, 7337, 1063, 154, 5497, 18, 9105, 10864, 727, 41, 117, 3, 61, 19, 3, 9, 9026, 16, 8, 7430, 23, 28258, 3066, 13, 12188, 17, 6820, 16, 3457, 18, 24411, 1410, 5, 29659, 86, 29884, 7, 13, 7337, 1063, 154, 5497, 18, 9105, 10864, 727, 33, 718, 16, 2379, 7337, 1063, 154, 5497, 9, 159, 5, 1610, 92, 3, 10205, 444, 7, 13, 8, 7430, 23, 28258, 3066, 17881, 7, 26241, 2416, 12394, 7, 13, 7430, 23, 28258, 2125, 3, 10205, 444, 7, 13, 7430, 23, 28258, 1, 17240, 26, 4919, 291, 3083, 4985, 19, 8, 166, 423, 18, 19457, 2306, 57, 1566, 1928, 19804, 5, 37, 3, 6892, 988, 47, 1883, 30, 5766, 2999, 11547, 16, 7520, 6, 1643, 12, 2382, 8167, 11, 30, 180, 5171, 346, 7721, 11547, 16, 7273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10601, 5, 156, 6, 383, 8, 166, 1751, 6, 150, 4775, 911, 7, 147, 5743, 13, 8, 11839, 6, 3, 9, 511, 1751, 1217, 286, 28, 163, 8, 420, 192, 4341, 16, 8, 166, 1751, 5, 466, 766, 7, 24, 8, 4668, 11391, 3, 9, 2942, 13, 11839, 16, 8, 511, 1751, 5, 3, 16508, 6, 66, 4341, 756, 3, 9, 824, 12709, 16, 8, 166, 1751, 164, 5978, 16, 8, 511, 1751, 5, 156, 132, 33, 72, 145, 192, 4341, 4125, 6, 3, 9, 29101, 63, 2902, 164, 2204, 8, 741, 5, 86, 1827, 2056, 6, 8, 169, 13, 29101, 63, 10601, 28, 1317, 6, 712, 18, 3757, 687, 6439, 11573, 12, 11924, 3, 1, 4163, 17, 1273, 164, 2401, 12, 10, 30794, 1950, 2284, 4163, 17, 1273, 159, 51, 6, 8, 3, 28768, 13, 4761, 42, 3, 31225, 10596, 12, 16, 29264, 4820, 6, 801, 38, 3, 23477, 7, 88, 7, 1811, 29, 23, 3, 23477, 7, 88, 7, 6, 422, 25068, 7, 45, 796, 12906, 263, 57, 8, 1811, 29, 23, 2557, 7, 1318, 23, 76, 17, 3, 23477, 7, 107, 6, 16, 4913, 10438, 3, 9, 3, 18458, 6, 819, 924, 2586, 1133, 10422, 57, 8, 9891, 12, 3, 9, 11148, 4163, 17, 1273, 12966, 6, 16, 1440, 13, 1244, 2648, 6, 3, 9, 568, 113, 4657, 38, 3, 9, 26882, 344, 8, 3564, 11, 8, 840, 30908, 30908, 3, 23477, 5605, 7, 51, 6, 3, 9, 6949, 13715, 12, 4820, 42, 643, 1467, 13, 18605, 6949, 3172, 41, 127, 5839, 44, 66, 61, 224, 38, 1922, 6, 12, 15, 7, 42, 824, 1308, 13, 5698, 2922, 4703, 3, 23477, 5605, 7, 51, 4163, 17, 1273, 769, 10547, 6, 3, 9, 569, 2426, 8520, 300, 6949, 3, 23477, 5605, 7, 51, 4163, 17, 1273, 3835, 6, 3, 9, 686, 13, 3, 49, 9798, 3835, 4163, 17, 1273, 768, 6792, 13, 3, 23477, 7, 107, 3153, 4163, 17, 1273, 2934, 4218, 4163, 17, 1273, 41, 23703, 201, 3, 9, 5247, 2306, 57, 20950, 12434, 17, 11, 8, 1589, 88, 1408, 7, 96, 371, 15, 17, 1273, 121, 41, 7, 2444, 201, 3, 9, 1233, 2324, 57, 11471, 35, 9, 1263, 51, 457, 4163, 17, 1273, 6, 3, 9, 24460, 23586, 630, 16, 8, 16327, 5286, 939, 37, 1651, 4163, 17, 1273, 6, 3, 9, 2056, 8973, 3714, 57, 301, 5, 3, 14562, 9, 5398, 20, 4594, 1769, 2570, 7360, 485, 3, 23477, 5605, 7, 51, 6, 3, 9, 23024, 343, 2077, 13, 18662, 16, 1784, 343, 3212, 13713, 459, 377, 154, 17, 1273, 6, 3, 9, 443, 2546, 57, 13713, 459, 23468, 15, 13658, 76, 257, 17435, 4163, 17, 1273, 6, 3, 9, 3888, 484, 57, 205, 7591, 13450, 29945, 53, 3, 9, 5733, 18, 24690, 2717, 859, 96, 24468, 121, 9352, 1, 11137, 1266, 10892, 1206, 489, 3707, 3, 104, 891, 4883, 23, 26, 12197, 10, 37, 4498, 10813, 23, 16054, 7, 365, 15392, 10148, 480, 21783, 7, 2738, 240, 4039, 208, 6, 1784, 13, 8, 412, 13726, 63, 9, 26, 7985, 480, 21783, 7, 152, 6, 15285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19440, 1883, 16, 662, 928, 7967, 7, 6, 284, 9085, 3, 9, 315, 96, 545, 976, 8, 939, 47, 865, 4759, 57, 6298, 15175, 7, 87, 518, 173, 26, 134, 17, 127, 51, 38, 3, 9, 1668, 1040, 1549, 41, 61, 16, 1882, 6260, 5, 8483, 3, 4667, 7, 37, 662, 1937, 66, 4093, 16, 3, 9, 23534, 84, 3475, 12, 1130, 4030, 31, 7, 892, 38, 4802, 57, 8, 13927, 20713, 68, 92, 2579, 984, 2069, 12, 8, 5342, 21556, 8084, 5, 37, 7100, 7526, 8483, 10, 4972, 17464, 221, 195, 1261, 10, 25811, 7435, 222, 28, 1546, 51, 545, 16179, 5491, 6088, 7, 10, 5342, 21556, 377, 4, 8706, 7, 10, 4117, 2042, 1765, 7, 3, 184, 15175, 10913, 31, 7, 8545, 9144, 102, 88, 291, 11953, 10, 4794, 216, 159, 1171, 17326, 11953, 10, 5762, 454, 10116, 7, 3, 19440, 1790, 38, 5342, 254, 5, 188, 5, 382, 5, 7, 87, 4, 18, 329, 35, 10, 37, 7100, 7526, 7172, 16, 2083, 6622, 2821, 16, 17562, 3434, 6, 48, 733, 23231, 7, 300, 22227, 11, 4904, 29, 8607, 6, 113, 33, 13971, 464, 12, 8303, 46, 4913, 768, 23, 8717, 718, 8, 325, 7061, 302, 25731, 45, 3, 9, 563, 13, 17562, 7, 113, 43, 3, 26655, 28, 8, 878, 15, 8823, 1422, 5, 621, 70, 2332, 6729, 9048, 5124, 6, 8, 192, 24391, 120, 372, 95, 11, 1865, 12, 8303, 8, 25731, 117, 383, 48, 2870, 6, 80, 13, 8, 17562, 7, 3343, 7, 139, 3, 9, 878, 15, 8823, 17, 15, 11, 6032, 22227, 5, 4904, 29, 8607, 5781, 7, 8, 878, 15, 8823, 17, 15, 6, 258, 7673, 7, 22227, 25429, 11, 1217, 8, 25731, 5, 10511, 6, 8, 192, 942, 541, 116, 22227, 13041, 4904, 29, 8607, 16, 3, 7, 17348, 5454, 30, 3, 9, 2412, 16, 19500, 5, 22227, 399, 7, 76, 9, 1395, 4904, 29, 8607, 12, 2019, 376, 6, 11, 255, 14, 7, 376, 16, 30, 125, 8, 25731, 19, 5, 2940, 1111, 19, 28357, 57, 3, 9, 878, 15, 8823, 17, 15, 11, 12605, 29, 6, 113, 16, 354, 7665, 4904, 29, 8607, 6, 3, 7, 9, 4045, 2568, 8, 2412, 6542, 6, 11, 656, 326, 28, 8, 25731, 5, 3705, 7003, 53, 8, 2412, 21146, 6, 22227, 11, 4904, 29, 8607, 880, 11, 16859, 342, 6, 258, 14801, 139, 3, 9, 21362, 63, 4072, 6, 84, 3200, 135, 12, 46, 13104, 1247, 213, 12605, 29, 2284, 8, 25731, 12, 3, 60, 3042, 12621, 262, 13711, 6, 46, 4913, 878, 15, 8823, 17, 15, 615, 322, 26, 5, 818, 22227, 2870, 7, 12605, 29, 6, 4904, 29, 8607, 5781, 7, 1, 86, 17082, 25194, 1693, 6, 46, 25326, 1147, 812, 19, 261, 16, 128, 2254, 21, 8, 25194, 1127, 13, 9495, 21701, 13850, 7, 41, 5751, 8, 534, 495, 13, 25194, 5660, 61, 16, 455, 12, 610, 8, 6854, 13, 8, 1573, 11, 12, 766, 7606, 2605, 224, 38, 71, 18, 7, 17, 2020, 5, 3, 3626, 46, 25326, 2245, 1737, 19, 13, 1090, 3172, 116, 132, 19, 3, 9, 508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36, 894, 16, 177, 7, 23, 235, 17685, 38, 3, 9, 3, 115, 99, 23, 26, 4180, 213, 2306, 77, 65, 204, 7701, 5, 86, 88, 5730, 26, 1005, 23703, 77, 11658, 65, 150, 2071, 7925, 1951, 6, 68, 19, 13, 1046, 12, 4768, 113, 810, 8, 9009, 11, 5014, 1112, 16, 8, 3619, 5, 17881, 7, 16135, 77, 10461, 1, 15199, 15, 7, 13571, 54, 2401, 12, 10, 37, 15199, 15, 7, 13571, 1387, 6, 3, 9, 563, 441, 8, 907, 1323, 1775, 13, 13143, 17610, 7429, 16829, 5, 37, 15199, 15, 7, 13571, 3527, 6, 3, 9, 2390, 21260, 5473, 5, 1, 19434, 1117, 19923, 3570, 164, 2401, 12, 10, 6132, 1493, 19434, 1117, 19923, 3570, 6, 6132, 1493, 6, 15505, 6, 2616, 30, 8, 868, 12306, 13, 19923, 3399, 7, 41, 9142, 13201, 61, 19434, 1117, 19923, 3570, 41, 15537, 17, 2590, 6, 15505, 201, 3, 9142, 13201, 18, 19279, 19434, 1117, 19923, 3570, 41, 18455, 4411, 18, 134, 9, 109, 51, 6, 1117, 5089, 201, 3, 9142, 13201, 18, 19279, 16, 242, 7, 63, 189, 1334, 1, 3, 24143, 3502, 17251, 2394, 5422, 61, 19, 3, 9, 2252, 2478, 6681, 12, 1716, 6540, 1408, 7, 6, 8687, 6, 907, 1323, 5, 37, 2478, 6, 84, 1553, 6878, 53, 16, 23992, 6, 19, 1083, 4157, 57, 10457, 9, 11538, 6, 1542, 5, 7106, 53, 3, 24143, 3502, 6878, 7, 46, 625, 725, 1910, 5, 6551, 1135, 6020, 41, 202, 17, 173, 2083, 2038, 61, 3150, 1285, 16405, 23608, 15, 26, 1350, 1267, 6523, 57, 1798, 907, 1323, 13644, 12264, 14653, 6, 27870, 18563, 9429, 6, 7556, 16637, 30472, 6, 11, 2457, 1138, 11515, 6, 303, 3, 9, 3518, 504, 6523, 57, 22067, 265, 32, 1825, 4262, 23648, 23648, 106, 5, 86, 811, 12, 165, 1646, 625, 725, 6020, 6, 3, 24143, 3502, 6878, 7, 8687, 1015, 28148, 7, 3370, 1031, 11, 8, 14521, 11829, 8939, 6942, 2558, 7, 467, 116, 3, 9, 16131, 4129, 30, 3, 24143, 3502, 18, 14908, 13033, 7, 8, 14512, 4233, 12, 8, 5422, 2478, 5, 3, 24143, 3502, 18, 14908, 3, 11078, 8, 3370, 1031, 13, 8, 8374, 636, 13, 8687, 19998, 7, 5, 86, 1600, 2628, 6, 8, 2478, 11, 165, 258, 18, 7, 5805, 2478, 3, 24143, 3502, 18, 14908, 2162, 70, 6912, 2657, 655, 1390, 6, 379, 3842, 5018, 251, 6878, 7, 6, 1643, 6878, 53, 716, 12, 14928, 9877, 579, 6, 11, 8, 1418, 12, 9153, 30521, 3583, 4175, 45, 5435, 3583, 758, 4298, 6, 237, 16, 8, 605, 13, 3, 9, 28583, 5, 5528, 100, 2478, 1553, 1646, 6878, 53, 30, 1660, 11940, 23992, 6, 38, 3, 9, 5986, 3, 11876, 2478, 801, 38, 3, 24143, 3502, 5, 3, 24143, 3502, 47, 4157, 57, 8, 22067, 265, 32, 1825, 13017, 5254, 53, 1958, 6, 1542, 5, 6, 28, 12264, 454, 5, 2846, 21220, 38, 2753, 11, 2715, 549, 5, 12551, 38, 879, 2743, 5, 3, 24143, 3502, 1204, 3, 9, 1449, 5720, 45, 8, 5034, 11538, 3527, 41, 371, 2823, 61, 21, 3, 9, 579, 993, 12, 11668, 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 ]
[ 44, 15625, 1015, 636, 16, 4488, 60, 162, 1493, 6, 213, 3, 88, 4532, 8, 15874, 8816, 53, 465, 15, 40, 3720, 9200, 6651, 21, 8, 4116, 1016, 2009, 13, 8, 2549, 3931, 465, 15, 40, 6767, 6, 80, 13, 8, 2015, 1045, 8274, 13, 1181, 2436, 6855, 1335, 6, 11384, 6, 11, 8111, 16, 8, 907, 1323, 5, 2855, 11, 1415, 21475, 9, 346, 4055, 776, 47, 2170, 16, 14834, 16, 4823, 235, 346, 6, 26094, 18965, 180, 6857, 6, 213, 112, 1362, 130, 464, 5, 86, 5541, 6, 79, 3666, 12, 8, 5664, 29, 180, 6857, 6, 84, 6886, 12315, 16, 9957, 5, 216, 9461, 45, 332, 3727, 159, 23, 1015, 636, 16, 5247, 28, 3, 9, 1952, 16, 1038, 973, 5, 1029, 6911, 12, 2766, 6, 3, 88, 1279, 28, 8, 7849, 13, 11957, 12078, 13, 5664, 6, 213, 3, 88, 10298, 936, 2166, 807, 11, 5836, 28, 8, 2063, 13, 1740, 5, 27318, 447, 2116, 21475, 9, 346, 4055, 776, 19, 3, 9, 4253, 30, 27318, 447, 2116, 11, 8, 27318, 447, 3, 1498, 5, 86, 5247, 6, 21475, 9, 346, 4055, 776, 47, 80, 13, 8, 16072, 724, 13, 8, 27318, 447, 3467, 13, 5664, 6, 2425, 12, 8, 810, 13, 8, 12197, 1208, 11, 27318, 447, 3, 1498, 7, 18360, 3264, 6996, 1808, 137, 86, 2766, 6, 3, 88, 2301, 12, 8, 907, 1323, 12, 19612, 2448, 12, 27318, 447, 2116, 5, 21475, 9, 346, 4055, 776, 9461, 28, 3, 9, 3657, 5, 308, 5, 16, 892, 16, 3888, 45, 8, 2548, 30, 27318, 11, 8, 2379, 12197, 44, 2599, 1015, 636, 5, 216, 65, 4436, 44, 2599, 1015, 636, 11, 14579, 1015, 636, 6, 11, 7177, 26, 30, 1998, 11, 1291, 44, 8, 412, 5, 134, 5, 26187, 1602, 1888, 5, 1541, 11979, 3, 88, 65, 118, 44, 15625, 1015, 636, 16, 4488, 60, 162, 1493, 5, 21475, 9, 346, 4055, 776, 65, 118, 8, 2291, 6, 6005, 6, 11, 22770, 13, 147, 192, 9611, 1335, 11, 19533, 7, 5, 978, 1335, 37, 4263, 6027, 16829, 16, 8, 12197, 1208, 11, 27318, 447, 10265, 6, 1003, 4508, 6996, 1808, 11, 37, 10141, 13, 7254, 32, 2644, 32, 10, 27318, 3, 8911, 3695, 17, 76, 172, 32, 208, 751, 8, 30621, 3677, 13, 8, 1331, 27318, 447, 3467, 21, 3105, 11, 11979, 6898, 5, 978, 1251, 484, 6, 37, 27318, 447, 10265, 10, 71, 3699, 5528, 6, 65, 118, 1790, 57, 10274, 636, 3373, 16, 6503, 5, 216, 65, 2098, 8, 6005, 18, 77, 18, 20053, 13, 8, 1059, 1950, 37, 27318, 447, 18889, 11, 46, 6005, 13, 8, 6185, 6564, 7, 13, 8, 29910, 30, 8, 12197, 1208, 848, 9, 5, 242, 112, 7548, 12, 27318, 447, 2116, 6, 21475, 9, 346, 4055, 776, 65, 118, 8160, 3, 9, 16344, 13, 8, 1, 21329, 2043, 17, 17, 9, 41, 7473, 1630, 1797, 23992, 61, 19, 3, 9, 6697, 23, 1798, 11548, 26033, 52, 5, 2043, 17, 17, 9, 166, 5978, 26, 12012, 44, 8, 16583, 5550, 17793, 16, 22402, 6, 1244, 3434, 5, 419, 12072 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7, 21, 8, 8486, 1501, 3, 5, 1, 8, 945, 3, 9886, 133, 320, 2024, 12, 1321, 113, 7122, 3, 6, 68, 8, 4107, 7, 130, 230, 710, 15, 26, 91, 3, 6, 18968, 8, 8486, 18, 20924, 14929, 52, 7, 16, 18140, 2296, 3, 5, 1, 3, 88, 3666, 12, 8, 8486, 1501, 8, 194, 3, 88, 141, 369, 3, 5, 1, 6326, 53, 3, 9, 187, 26, 113, 5136, 8, 313, 5656, 30, 8, 511, 1501, 3, 6, 3, 88, 1971, 91, 112, 30815, 13, 3, 32, 1635, 3, 31, 7, 2249, 3, 5, 1, 255, 530, 91, 30, 8, 4509, 1501, 406, 6220, 53, 3, 9, 589, 3, 5, 1, 7646, 12, 8, 4294, 7, 3, 31, 3132, 3, 6, 3, 88, 877, 139, 8, 2582, 3, 5, 1, 45, 8, 2007, 10326, 13, 112, 495, 3, 6, 3, 88, 6756, 91, 3, 9, 422, 5974, 54, 11, 192, 1946, 10827, 13, 4146, 1028, 83, 89, 1599, 3, 5, 1, 3, 88, 3, 9045, 5973, 80, 6295, 139, 3, 32, 1635, 3, 31, 7, 28790, 14941, 3, 6, 8, 3, 7512, 13, 3, 14369, 35, 5875, 399, 900, 26, 53, 8, 799, 3, 5, 1, 223, 16, 8, 840, 562, 3, 6, 3, 88, 3, 22929, 91, 8, 511, 131, 666, 8, 2034, 3, 6, 213, 8, 3, 6015, 13, 8, 4126, 15200, 4728, 3, 5, 1, 258, 3, 88, 3, 7, 21181, 8, 15200, 28, 3, 9, 8096, 24, 133, 919, 8, 3002, 45, 1472, 18, 60, 17, 986, 288, 12, 3, 19381, 179, 3, 5, 1, 16, 8, 3823, 562, 3, 6, 3, 88, 243, 3, 6, 3, 2, 103, 25, 43, 762, 25, 174, 3, 58, 3, 31, 31, 1, 3, 2, 3, 23, 43, 11821, 1327, 3, 6, 3, 89, 9, 26, 23, 3, 5, 3, 31, 31, 1, 3, 89, 9, 26, 23, 3, 26, 15318, 223, 139, 8, 2582, 11, 4996, 8, 25421, 288, 16, 3, 32, 1635, 3, 31, 7, 14941, 3, 5, 1, 9114, 150, 8320, 13, 376, 3, 6, 59, 3, 9, 3, 28766, 6817, 3701, 3, 9, 720, 13, 15634, 3, 6, 133, 7905, 8, 6258, 1678, 13, 8, 16, 8377, 32, 8, 25421, 2366, 133, 3806, 3, 5, 1, 28, 3, 4246, 9, 3355, 3, 6, 3, 89, 9, 26, 23, 4996, 8, 2007, 13, 8, 15200, 16, 8, 840, 562, 3, 6, 11, 79, 646, 8, 3132, 544, 3, 5, 1, 79, 2359, 26, 966, 2017, 3, 6, 3, 4246, 9, 3, 23, 115, 29, 11470, 172, 12, 8, 3, 15303, 2091, 3, 6, 3, 89, 9, 26, 23, 728, 541, 12, 8, 313, 19967, 3, 5, 1, 192, 676, 865, 3, 6, 3, 88, 7189, 15, 26, 8, 596, 6143, 3, 10, 3, 32, 1635, 30, 3, 9, 3, 19668, 1733, 3, 5, 1, 19662, 18, 21182, 3978, 865, 3, 6, 3, 4246, 9, 3311, 376, 3, 5, 1, 79, 141, 131, 2120, 326, 460, 189, 2815, 2400, 3, 107, 2815, 3, 6, 5046, 57, 8, 7942, 13, 80, 13, 8, 3950, 44, 873, 1677, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12064, 15, 26, 8, 6922, 1418, 13, 11762, 10813, 9, 189, 12611, 99, 9, 5, 17881, 7, 29549, 6616, 4390, 939, 2148, 8481, 23, 152, 4390, 1267, 2148, 8481, 23, 152, 765, 939, 1, 37, 215, 6503, 19, 8, 1902, 727, 215, 16, 8, 892, 13, 8, 283, 2292, 3699, 6, 3, 9, 4838, 22526, 5138, 5546, 3, 390, 16, 4623, 5, 6792, 13, 984, 2409, 12, 283, 2292, 2312, 314, 2409, 12, 283, 2292, 2312, 314, 56, 36, 3, 9, 4838, 22526, 5138, 605, 1213, 57, 283, 2292, 3699, 30, 1762, 12074, 6503, 44, 8, 5417, 377, 5, 15153, 896, 1166, 16, 1276, 12634, 1825, 15, 13395, 7, 6, 2599, 6, 907, 1323, 5, 377, 2632, 4955, 3, 25511, 3, 18062, 11973, 4536, 3, 18, 549, 18256, 3, 184, 283, 2292, 1777, 3, 25511, 3, 18062, 11973, 4536, 3, 18, 549, 18256, 3, 184, 283, 2292, 1777, 47, 3, 9, 4838, 22526, 5138, 605, 1213, 57, 283, 2292, 3699, 30, 1718, 14985, 6503, 44, 8, 7138, 157, 1647, 14904, 16, 472, 5, 25645, 6, 4623, 5, 12772, 283, 2292, 22246, 1777, 3, 18, 20502, 16, 4224, 13, 15666, 7, 603, 4488, 12204, 1306, 283, 2292, 22246, 1777, 3, 18, 20502, 16, 4224, 13, 15666, 7, 603, 4488, 12204, 1306, 47, 3, 9, 4838, 22526, 5138, 605, 1213, 57, 283, 2292, 3699, 30, 1600, 9694, 6503, 44, 8, 7138, 157, 1647, 14904, 16, 472, 5, 25645, 6, 4623, 5, 12772, 1610, 92, 6503, 16, 412, 5390, 6503, 16, 5377, 1016, 3, 25511, 6503, 16, 3, 7894, 7666, 6503, 16, 26819, 15, 7666, 4823, 107, 3357, 6503, 16, 2974, 6849, 9, 75, 1191, 180, 172, 17, 1598, 10801, 23, 6503, 16, 391, 4, 371, 17881, 7, 26241, 2416, 283, 2292, 14063, 138, 283, 2292, 3699, 984, 283, 2292, 14063, 138, 984, 6503, 16, 4838, 22526, 5138, 6503, 2600, 18, 3897, 7809, 1, 7807, 5004, 23, 41, 61, 19, 3, 9, 3309, 16, 3926, 7138, 3570, 6, 7764, 7807, 5, 1610, 92, 480, 210, 202, 4701, 51, 12077, 41, 10499, 9, 7138, 3570, 61, 26241, 2416, 374, 747, 257, 13, 616, 13, 1895, 3309, 480, 210, 202, 4701, 51, 12077, 11, 7807, 5004, 23, 41, 10499, 9, 7138, 61, 21, 4356, 13, 8141, 6978, 41, 8584, 12, 460, 2884, 61, 7305, 7, 16, 7764, 7807, 3926, 7138, 3570, 1, 312, 63, 4556, 202, 9, 19, 3, 9, 10414, 2148, 8481, 23, 152, 814, 6640, 57, 4498, 7, 152, 1823, 2047, 526, 15, 5, 22966, 15, 26, 57, 31368, 29122, 5175, 23, 107, 6, 8, 814, 4811, 29122, 9053, 24778, 6, 10149, 63, 265, 9053, 24778, 1024, 11, 22928, 18981, 440, 15, 15, 40, 16, 991, 6270, 5, 37, 814, 7027, 3, 9, 20974, 12, 29122, 9053, 24778, 31, 7, 1415, 11, 19, 4466, 12, 36, 112, 166, 1866, 814, 5, 1266, 11248, 5429, 41, 329, 32, 1024, 2726, 9053, 24778, 61, 11, 29122, 41, 188, 107, 2726, 18981, 440, 15, 15, 40, 61, 33, 192, 3, 25434, 19665, 6, 113, 373, 43, 284, 119, 31, 7, 223, 5, 389, 20343, 5415, 3433, 29122, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 138, 161, 47, 3, 17183, 57, 8, 868, 3720, 2381, 297, 21, 8, 4218, 6, 2386, 6, 5795, 5, 94, 19, 3, 10920, 96, 634, 2892, 13, 37, 13759, 1686, 46, 42, 7265, 32, 28, 8, 5092, 896, 1015, 14948, 29652, 4468, 57, 3080, 10001, 1171, 11, 6729, 343, 7, 451, 52, 651, 1793, 7196, 5352, 6, 14412, 264, 702, 32, 1, 374, 10878, 21754, 41, 7473, 489, 932, 3, 29430, 19, 46, 3746, 2219, 3370, 49, 1556, 21, 8, 3782, 10204, 10169, 7, 16, 8, 71, 10765, 4047, 31, 7, 41, 188, 10765, 518, 137, 451, 47, 3, 23505, 57, 9396, 28, 70, 511, 1801, 11, 24651, 1879, 16, 8, 1421, 71, 10765, 4047, 31, 7, 6488, 5, 451, 263, 160, 5695, 16, 8, 17310, 500, 1453, 12, 44, 6320, 63, 7257, 7, 16, 8, 2101, 1751, 13, 8, 1233, 774, 5, 451, 1944, 334, 1588, 383, 8, 774, 11, 227, 8, 804, 1751, 1588, 581, 3, 318, 77, 84, 255, 4381, 20394, 12375, 7, 6, 386, 6784, 11, 192, 1766, 318, 7, 88, 47, 150, 1109, 920, 21, 8, 71, 10765, 518, 25813, 2042, 5, 621, 80, 774, 28, 9396, 6, 21754, 47, 18107, 12, 8, 383, 8, 1233, 1668, 1059, 5, 94, 47, 5111, 24, 21754, 141, 3814, 3, 9, 1696, 4924, 28, 8, 1886, 30, 898, 1515, 460, 2658, 6, 227, 1556, 305, 1031, 21, 8, 1886, 24, 774, 5, 19258, 3, 31, 31, 134, 7810, 7, 7636, 33, 2024, 12, 8, 414, 13, 8, 460, 2658, 774, 31, 5, 1820, 18, 869, 2423, 1549, 9232, 10, 4663, 427, 14611, 14611, 188, 1820, 7401, 2423, 3623, 1820, 1233, 1820, 9175, 1820, 9175, 489, 1820, 489, 1820, 9175, 305, 1820, 9175, 305, 1820, 9175, 8838, 1820, 9175, 431, 1820, 9175, 9526, 1820, 9175, 850, 1820, 9175, 489, 1820, 9175, 3, 22426, 1820, 9175, 3, 22426, 1820, 9175, 3, 23769, 1820, 9175, 3, 23758, 1820, 9175, 3, 26346, 1820, 9175, 3, 15062, 1820, 9175, 3, 12734, 1820, 9175, 3, 632, 1820, 18, 1820, 7401, 2423, 3623, 3, 115, 122, 9910, 2423, 371, 632, 427, 3651, 254, 1820, 846, 4663, 1820, 9175, 1820, 9175, 489, 1820, 431, 1820, 9175, 204, 1820, 9175, 209, 1820, 9175, 1401, 1820, 9175, 431, 1820, 9175, 2307, 1820, 9175, 431, 1820, 9175, 505, 1820, 9175, 3, 19997, 1820, 9175, 3, 18189, 1820, 9175, 3, 9285, 1820, 9175, 3, 12734, 1820, 9175, 3, 12451, 1820, 9175, 3, 12734, 1820, 9175, 3, 13606, 1820, 9175, 3, 632, 1820, 18, 869, 2423, 1549, 9232, 10, 4663, 427, 14611, 14611, 188, 1820, 7401, 2423, 3623, 1820, 1360, 1820, 9175, 1820, 9175, 489, 1820, 305, 1820, 9175, 209, 1820, 9175, 204, 1820, 9175, 1630, 1820, 9175, 305, 1820, 9175, 2307, 1820, 9175, 489, 1820, 9175, 668, 1820, 9175, 3, 18189, 1820, 9175, 3, 22776, 1820, 9175, 3, 23444, 1820, 9175, 3, 12734, 1820, 9175, 3, 27436, 1820, 9175, 3, 14912, 1820, 9175, 3, 16253, 1820, 9175, 3, 632, 1820, 18, 1820, 7401, 2423, 3623, 1820, 6503, 1820, 9175, 1820, 9175, 489, 1820, 305, 1820, 9175, 204, 1820, 9175, 3, 632, 1820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 47, 17810, 112, 4810, 21, 150, 1053, 119, 145, 34, 3776, 3, 88, 5591, 26, 8, 4024, 3, 88, 261, 12, 36, 11, 1114, 12, 36, 315, 3, 5, 1, 131, 3, 5, 1, 158, 9, 11971, 3, 5, 1, 3, 6172, 3, 31, 7, 2053, 19141, 2000, 728, 3, 23, 3492, 8, 580, 3, 5, 1, 3, 2, 1088, 3, 58, 3, 31, 31, 1, 3, 2, 17945, 3, 6, 3, 23, 3536, 15687, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 470, 2612, 3, 5, 3, 31, 31, 1, 3, 88, 4659, 45, 8, 8453, 3, 6, 112, 2053, 2164, 4632, 38, 3, 88, 8876, 26, 269, 190, 140, 3, 5, 1, 3, 2, 2087, 24, 3, 31, 7, 82, 17227, 682, 3, 5, 3, 31, 31, 1, 3, 88, 2120, 326, 8, 659, 12, 8, 1032, 562, 11, 1860, 3, 9, 422, 3993, 3, 5, 1, 3, 2, 752, 3, 31, 7, 281, 3, 5, 3, 31, 31, 1, 11, 131, 114, 24, 3, 6, 3, 23, 7533, 376, 3197, 30, 8, 8181, 541, 11, 17582, 114, 8, 1997, 47, 341, 23215, 3, 6, 114, 3, 88, 47, 3, 29, 31, 17, 838, 124, 13, 112, 3856, 120, 776, 26, 3, 29557, 15, 11, 3, 4605, 51, 53, 2448, 21, 8, 1053, 255, 47, 16, 3, 9, 19443, 3, 5, 1, 3, 28848, 3, 5, 1, 11, 3, 23, 47, 24184, 12, 376, 81, 578, 821, 6261, 3, 5, 1, 17945, 3, 5, 1, 3, 88, 225, 43, 1077, 1219, 140, 12, 281, 12, 7927, 3, 5, 1, 82, 982, 3, 58, 1, 1327, 3, 2172, 12, 8, 4002, 3, 88, 47, 6771, 3, 5, 1, 3, 23, 2348, 376, 91, 13, 8, 740, 11, 73, 11863, 8, 3377, 12, 82, 443, 3, 5, 1, 34, 47, 10088, 3, 6, 2492, 8, 119, 596, 13, 376, 11, 4265, 3, 88, 47, 4622, 12, 341, 2112, 112, 8181, 3, 5, 1, 3, 23, 18534, 34, 47, 114, 2342, 91, 113, 1355, 348, 310, 47, 80, 239, 163, 12, 217, 376, 653, 12, 3197, 8, 13996, 147, 39, 2053, 8, 416, 239, 3, 5, 1, 68, 82, 2594, 3, 58, 1, 34, 47, 626, 3, 5, 1, 11, 3, 23, 47, 3, 29, 31, 17, 417, 3, 23, 3, 31, 26, 664, 129, 147, 8, 320, 30, 3, 6172, 3, 31, 7, 522, 116, 3, 88, 47, 1556, 3, 18, 171, 53, 112, 3668, 91, 2400, 8, 8355, 3, 5, 1, 3, 88, 164, 38, 168, 43, 3, 7, 4250, 539, 112, 14552, 7, 11, 752, 8, 1717, 7873, 109, 91, 13, 112, 643, 38, 3, 88, 3, 102, 14471, 284, 2232, 3, 5, 1, 3355, 3, 6172, 1912, 224, 3, 9, 1389, 2491, 38, 3, 13863, 697, 112, 3143, 2370, 17, 47, 966, 73, 687, 3745, 3, 5, 1, 3, 23, 47, 3, 29, 31, 17, 310, 417, 149, 3, 88, 47, 3, 179, 12, 1681, 28, 66, 24, 20595, 30, 112, 15424, 3, 5, 1, 3, 2, 125, 3, 58, 3, 31, 31, 1, 112, 2053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1121, 41, 14100, 134, 61, 18893, 23, 9, 10728, 4017, 2548, 41, 18489, 5494, 61, 1331, 1769, 1888, 2159, 2958, 2548, 41, 11731, 196, 61, 22183, 2958, 2548, 41, 10255, 196, 61, 3068, 9, 2548, 13, 2854, 11, 3669, 41, 134, 13582, 61, 3037, 4907, 3699, 1888, 17881, 7, 18893, 23, 9, 28932, 18893, 23, 9, 28932, 1, 37, 1076, 31, 7, 11148, 28368, 44, 8, 2735, 3850, 7666, 7, 16, 18373, 7, 47, 1213, 30, 1718, 2664, 5, 12772, 26241, 2416, 12772, 19418, 19418, 28368, 44, 8, 3850, 7666, 7, 16, 18373, 7, 1, 100, 19, 3, 9, 3, 31, 31, 31, 3350, 13, 8278, 16, 26252, 5, 28932, 16, 26252, 3, 18799, 1793, 89, 23, 7588, 29, 20, 2846, 630, 15, 3, 18799, 412, 17, 9, 26, 18, 9105, 77, 721, 3, 18799, 3, 18180, 1462, 1331, 15, 3, 18799, 30955, 9144, 7, 152, 9, 13228, 154, 20, 3885, 89, 8008, 1610, 92, 2855, 16, 26252, 17881, 7, 2855, 16, 26252, 26252, 28932, 26252, 28932, 1, 325, 969, 52, 77, 189, 13, 7099, 7, 6, 1883, 16, 9047, 6, 19, 8, 5695, 2306, 57, 10098, 579, 1946, 1928, 8021, 122, 63, 5, 94, 3495, 381, 6426, 30, 8, 2306, 12321, 16, 3411, 5, 8799, 6437, 96, 634, 2698, 5968, 121, 3, 18, 314, 10, 4165, 96, 196, 31, 51, 465, 31593, 121, 3, 18, 314, 10, 4834, 96, 29468, 499, 2129, 121, 3, 18, 314, 10, 4177, 96, 6838, 5479, 1263, 121, 41, 25232, 138, 61, 3, 18, 204, 10, 4834, 96, 382, 3964, 2296, 16, 4734, 26, 159, 15, 121, 3, 18, 305, 10, 3420, 96, 23847, 11, 3387, 121, 3, 18, 220, 10, 4165, 96, 18506, 63, 52, 77, 189, 13, 7099, 7, 121, 3, 18, 431, 10, 1714, 96, 27189, 5555, 1370, 23, 9, 121, 41, 25232, 138, 61, 3, 18, 209, 10, 1828, 96, 23553, 7261, 7, 121, 3, 18, 314, 10, 1828, 96, 634, 2846, 12469, 2892, 121, 3, 18, 220, 10, 1808, 10659, 8799, 7, 41, 16660, 3, 60, 18, 21019, 61, 96, 634, 2846, 12469, 2892, 121, 41, 1778, 32, 61, 96, 279, 1748, 9, 26, 121, 41, 1778, 32, 6, 15205, 61, 96, 196, 31, 51, 465, 31593, 121, 41, 17241, 61, 21489, 1222, 724, 31176, 1546, 3745, 9, 3, 18, 6721, 7, 216, 29, 157, 4049, 20, 325, 291, 7, 3, 18, 5507, 7, 1533, 29, 32, 4480, 3, 9465, 9816, 3, 18, 5507, 7, 3394, 22887, 1841, 40, 3, 18, 7981, 8475, 4049, 20, 472, 3082, 3, 18, 8680, 7, 4857, 1602, 969, 3, 18, 5253, 7, 17881, 7, 26241, 2416, 695, 7132, 32, 102, 9, 18999, 9276, 5171, 1764, 9047, 5695, 14234, 8021, 122, 63, 41, 3348, 61, 14234, 28964, 11547, 14234, 1, 37, 2722, 2067, 11666, 20, 12627, 6514, 47, 8, 804, 1588, 13, 8, 2735, 104, 2596, 2067, 11666, 20, 12627, 6, 8, 3, 4450, 7, 17, 774, 13, 8, 2067, 11666, 20, 12627, 6, 8, 2761, 21076, 3370, 4119, 2259, 4997, 57, 8, 21076, 10929, 14828, 41, 10698, 371, 137, 37, 1588, 47, 1944, 30, 1630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 7, 3, 5, 1, 369, 30, 3, 5, 1, 752, 3, 31, 7, 129, 48, 147, 28, 258, 3, 5, 3, 31, 31, 1, 9759, 550, 45, 8, 1953, 3, 6, 255, 160, 221, 26, 140, 91, 13, 8, 562, 11, 139, 8, 307, 6358, 3, 5, 1, 3, 2, 48, 19, 352, 12, 36, 78, 18267, 3, 5, 1, 3755, 34, 3, 31, 7, 59, 140, 3, 5, 3, 31, 31, 1, 3, 2, 2049, 3, 6, 3, 31, 31, 3, 23, 3, 4246, 11196, 3, 5, 1, 82, 842, 47, 3, 8861, 53, 114, 3, 9, 600, 5253, 3, 5, 1, 3, 2, 25, 320, 786, 3, 6, 3, 31, 31, 3, 3768, 5561, 243, 3, 6, 1517, 140, 3, 9, 59, 18, 7, 32, 18, 5560, 109, 3292, 2957, 8, 3, 15303, 2091, 3, 5, 1, 410, 3, 23, 43, 97, 12, 661, 1067, 11, 24727, 82, 522, 16, 3, 11557, 3, 58, 1, 8, 336, 589, 3, 23, 1114, 47, 12, 320, 534, 21, 20, 172, 3, 5, 1, 10045, 655, 2953, 82, 6522, 12, 3579, 38, 3, 23, 7411, 3138, 8, 7274, 1370, 3, 5, 1, 42, 2087, 34, 47, 8, 3270, 3, 58, 1, 3, 23, 228, 3, 29, 31, 17, 13418, 893, 194, 3, 5, 1, 13256, 45, 8, 166, 1501, 8882, 920, 95, 12, 178, 3, 6, 11, 3, 23, 3, 22418, 12, 1432, 91, 113, 79, 36, 23629, 12, 38, 3, 23, 263, 82, 194, 323, 8, 12295, 3, 5, 1, 1717, 3, 25202, 15, 26, 16, 82, 11581, 3, 6, 11, 82, 4247, 11549, 38, 3, 23, 3495, 8, 511, 18, 20924, 9501, 3, 5, 1, 3, 23, 708, 12, 90, 152, 147, 3, 6, 12, 240, 3, 9, 20584, 3, 6, 68, 3, 3768, 5561, 4682, 82, 2939, 11, 66, 68, 3, 26, 28581, 140, 323, 8, 4080, 12295, 3, 5, 1, 3, 23, 228, 3, 29, 31, 17, 237, 1423, 8, 336, 97, 8, 1297, 18297, 141, 3, 9094, 16, 80, 562, 544, 3, 6, 902, 44, 48, 97, 13, 8, 2272, 3, 6, 116, 167, 133, 36, 3, 6955, 12, 1175, 21, 8, 706, 120, 8069, 7, 3, 5, 1, 8, 4374, 47, 10933, 12, 140, 16, 24, 798, 3, 5, 1, 8, 5069, 7, 5065, 11, 4358, 3, 6, 13205, 16, 2164, 4295, 12792, 3, 5, 1, 3, 9, 360, 3955, 7, 130, 859, 135, 3, 6, 1119, 12, 3, 210, 52, 13247, 8, 502, 3, 5, 1, 80, 13, 135, 3, 6, 3, 9, 385, 4940, 150, 72, 145, 386, 3, 6, 3, 18731, 640, 8, 44, 11879, 3, 5, 1, 365, 8, 5796, 22161, 3, 6, 3, 88, 3944, 26, 91, 13, 112, 936, 607, 3, 5, 1, 22653, 3, 5, 1, 3, 6293, 7, 23032, 15, 26, 859, 112, 3, 4672, 727, 18322, 7, 3, 5, 1, 9954, 13943, 3, 4774, 45, 112, 223, 3, 6, 5551, 11, 24616, 3, 5, 1, 80, 1584, 4513, 139, 8, 799, 11, 8, 119, 3, 26, 52, 6631, 15, 26, 12, 8, 596, 3, 5, 1, 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 ]
[ 3, 5, 3, 31, 31, 1, 713, 3, 88, 3993, 26, 3, 6, 34, 410, 59, 1535, 112, 2053, 3, 5, 1, 3, 2, 3, 1825, 3, 58, 3, 31, 31, 1, 255, 3030, 3, 9, 150, 26, 3, 5, 1, 3, 2, 3, 23, 133, 1672, 25, 12, 103, 8, 337, 3, 5, 3, 31, 31, 1, 255, 3542, 14029, 26, 95, 44, 376, 3, 6, 68, 255, 410, 59, 473, 659, 21992, 38, 255, 4930, 4513, 376, 14292, 16, 8, 8173, 3, 5, 1, 3, 2, 68, 25, 2103, 66, 8, 3567, 3, 6, 3, 31, 31, 255, 13617, 26, 376, 3, 5, 1, 3, 24238, 697, 1835, 120, 3, 6, 3, 88, 18937, 26, 112, 2939, 223, 300, 160, 15424, 11, 6756, 160, 590, 3, 5, 1, 3, 2, 24, 3, 23, 103, 3, 6, 24, 3, 23, 103, 3, 5, 1, 25, 33, 352, 12, 43, 12, 726, 72, 1388, 16, 761, 3, 6, 11, 902, 16, 8, 1057, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 214, 3, 6, 3, 31, 31, 255, 243, 1835, 120, 3, 5, 1, 3, 2, 3, 23, 56, 3, 5, 1, 3, 23, 2275, 3, 29, 31, 17, 664, 752, 959, 1837, 12, 25, 42, 3, 2341, 159, 7, 9, 3, 5, 3, 31, 31, 1, 3, 88, 3542, 14029, 26, 44, 160, 3, 5, 1, 3, 2, 13, 503, 25, 2275, 3, 29, 31, 17, 3, 6, 68, 25, 394, 59, 752, 959, 1837, 12, 25, 893, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 2275, 3, 29, 31, 17, 3, 6, 3, 31, 31, 255, 1219, 376, 3, 6, 4265, 24, 34, 47, 3, 9, 5712, 255, 228, 3, 29, 31, 17, 453, 3, 5, 1, 959, 228, 1837, 12, 135, 3, 5, 1, 79, 3, 6412, 8, 880, 13, 8, 194, 16, 10844, 3, 5, 1, 723, 16901, 15, 26, 45, 3, 524, 52, 159, 3, 31, 7, 629, 3, 6, 8, 1345, 47, 4035, 10105, 26, 57, 8, 8002, 22496, 3858, 8149, 45, 1096, 3, 5, 1, 3, 524, 52, 159, 3542, 8086, 26, 16, 27635, 3, 6, 112, 2939, 4728, 550, 45, 160, 15424, 3, 5, 1, 3, 2, 3, 23, 3, 31, 195, 43, 1907, 51, 9, 143, 25, 3, 9, 3829, 3, 6, 3, 31, 31, 1990, 2452, 1219, 376, 3, 5, 1, 3, 88, 150, 15748, 274, 492, 112, 194, 7718, 120, 2957, 112, 851, 1365, 3, 5, 1, 1990, 2452, 7533, 227, 376, 3, 6, 1028, 51, 9, 10093, 57, 8, 6819, 3, 6, 62, 1208, 31649, 13, 112, 15424, 3, 5, 1, 150, 1052, 125, 280, 3, 17, 13296, 44, 376, 3, 6, 3, 524, 52, 159, 19346, 897, 3, 5, 1, 255, 3, 21464, 24, 255, 228, 36, 8, 337, 194, 3, 5, 1, 255, 3, 21464, 24, 255, 228, 43, 8, 4723, 2793, 24, 3, 524, 52, 159, 11, 3, 2341, 159, 7, 9, 3, 27345, 3, 6, 8, 19894, 897, 3, 6, 11, 56, 13, 2470, 79, 3, 5883, 920, 3, 5, 1, 255 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 227, 48, 3, 58, 3, 31, 31, 1, 8069, 49, 4910, 16, 8, 2214, 13, 8, 562, 11, 2299, 44, 140, 3, 5, 1, 112, 12674, 1692, 2053, 130, 114, 2007, 924, 7688, 7, 18, 8938, 288, 11, 2107, 3, 5, 1, 3, 2, 24, 19, 8, 515, 3, 5, 3, 31, 31, 1, 3, 23, 3, 7, 15123, 15, 26, 3, 5, 1, 3, 2, 405, 3, 88, 619, 16, 44, 6761, 9, 42, 3, 233, 3, 58, 3, 31, 31, 1, 3, 2, 150, 3, 5, 1, 2774, 10669, 3, 5, 1, 600, 3119, 103, 59, 3958, 12, 178, 3, 5, 3, 31, 31, 1, 3, 88, 3, 12105, 15, 26, 112, 819, 12, 8, 596, 3, 5, 1, 3, 2, 8, 4661, 3, 6, 5949, 7, 3, 6, 11, 4113, 33, 396, 231, 3, 5, 3, 31, 31, 1, 28, 149, 6280, 112, 2053, 130, 3, 6, 3, 23, 228, 734, 24, 4149, 13, 8, 2493, 3, 5, 1, 3, 2, 572, 8, 4661, 11, 5949, 7, 3, 58, 3, 31, 31, 1, 112, 1780, 2946, 11, 3168, 44, 112, 4458, 3, 5, 1, 3, 2, 34, 3, 31, 7, 396, 3, 233, 936, 3, 5, 3, 31, 31, 1, 11, 24, 47, 38, 231, 13, 46, 1525, 3, 23, 530, 45, 376, 30, 24, 851, 3, 5, 1, 112, 2053, 3776, 12, 3, 21020, 38, 3, 88, 708, 3, 5379, 53, 541, 3, 6, 492, 140, 3, 15, 26, 122, 63, 3, 5, 1, 3, 2, 133, 25, 1190, 3, 58, 3, 31, 31, 1, 3, 2, 125, 3, 58, 3, 31, 31, 1, 3, 88, 2804, 140, 3, 9, 8385, 127, 63, 15963, 38, 3, 88, 2804, 140, 3, 5, 1, 3, 2, 8, 3, 5379, 53, 3, 5, 1, 34, 3, 31, 7, 492, 140, 10045, 38, 7927, 3, 5, 3, 31, 31, 1, 3, 23, 3, 29049, 82, 10242, 63, 8466, 7, 590, 82, 14118, 541, 3, 5, 1, 3, 2, 3, 23, 214, 25, 3, 31, 60, 3, 1927, 1496, 53, 12, 129, 91, 13, 270, 3, 6, 550, 45, 140, 11, 30, 39, 194, 3, 6, 68, 103, 25, 317, 25, 54, 2561, 323, 21, 3, 9, 360, 4413, 3, 58, 3, 31, 31, 1, 8069, 49, 4910, 258, 3, 6, 5008, 140, 1540, 3, 5, 1, 3, 2, 25, 317, 24, 3, 31, 7, 34, 3, 58, 3, 31, 31, 1, 3, 23, 1736, 112, 8876, 3, 6, 11, 3, 88, 3, 7, 20978, 112, 819, 3, 5, 1, 3, 2, 125, 3, 58, 3, 31, 31, 1, 3, 23, 4399, 26, 3, 5, 1, 3, 88, 8876, 26, 44, 140, 307, 11, 614, 3, 6, 38, 3, 99, 3, 88, 130, 14517, 53, 223, 7500, 13, 1133, 3, 5, 1, 3, 2, 25, 33, 3, 9, 27539, 2335, 3, 6, 7637, 35, 9, 3, 5, 3, 31, 31, 1, 82, 4247, 6292, 539, 11, 25330, 3, 4843, 26, 190, 140, 114, 3, 9, 1312, 1248, 5536, 3, 5, 1, 3, 2, 3, 23, 3, 31, 51, 3, 9, 27539, 2335, 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 ]
[ 6, 3, 15842, 140, 577, 5195, 11, 23342, 112, 1780, 300, 82, 13586, 3, 5, 1, 82, 1780, 5701, 26, 30, 112, 62, 17, 15424, 3, 5, 1, 3, 2, 3, 17, 7, 157, 3, 6, 3, 17, 7, 157, 3, 6, 3041, 594, 3, 6, 1133, 12, 1133, 3, 5, 1, 125, 133, 3, 4031, 77, 9, 497, 3, 58, 3, 31, 31, 1, 3, 23, 3, 9951, 44, 112, 5738, 3, 5, 1, 3, 2, 3, 23, 152, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 3, 31, 51, 163, 1556, 3, 5, 3, 31, 31, 1, 3, 88, 4037, 112, 1780, 95, 82, 223, 11, 10166, 135, 30, 82, 5378, 3, 5, 1, 3, 2, 132, 3, 5, 1, 1965, 3, 58, 3, 31, 31, 1, 3, 23, 3, 1927, 1765, 120, 3, 9951, 376, 3, 9, 385, 16, 1525, 3, 5, 1, 34, 530, 4354, 21, 3, 9, 798, 3, 5, 1, 3, 88, 3495, 321, 1780, 95, 11, 4037, 135, 147, 8, 420, 13, 82, 819, 11, 3, 9094, 8, 880, 13, 82, 1268, 3, 6, 9135, 53, 34, 16, 3, 9, 361, 7, 17, 44, 8, 223, 13, 82, 5378, 3, 5, 1, 3, 2, 3, 23, 3, 31, 51, 352, 234, 3, 6, 3, 31, 31, 3, 88, 1219, 82, 3, 14853, 3, 5, 1, 82, 842, 6292, 3, 5, 1, 3, 2, 125, 3, 58, 3, 31, 31, 1, 3, 23, 1380, 3, 6, 8247, 11319, 3, 6, 82, 9883, 10623, 628, 28, 82, 842, 3, 5, 1, 3, 2, 82, 4284, 108, 2157, 2832, 140, 336, 471, 3558, 3, 99, 3, 23, 3, 31, 26, 369, 234, 21, 3, 9, 192, 18, 1135, 719, 3, 5, 1, 34, 1330, 3, 88, 65, 424, 12, 817, 140, 11, 3, 88, 3, 31, 26, 2396, 12, 103, 34, 16, 568, 3, 5, 3, 31, 31, 1, 3, 2, 3, 32, 107, 3, 6, 3, 23, 18, 23, 18, 23, 1243, 3, 6, 24, 31, 7, 18, 6279, 3, 31, 7, 248, 3, 6, 3, 23, 152, 3, 5, 1, 116, 103, 25, 1175, 3, 58, 3, 31, 31, 1, 3, 23, 1380, 3, 6, 20370, 53, 223, 82, 245, 9, 7, 6096, 3, 5, 1, 3, 23, 410, 3, 29, 31, 17, 241, 376, 12, 281, 3, 5, 1, 3, 23, 5723, 16, 24, 798, 24, 3, 23, 3, 25875, 26, 3, 23, 152, 28, 1034, 3, 5, 1, 8, 800, 13, 376, 2767, 263, 82, 5738, 2785, 11, 473, 4095, 3, 5, 1, 3, 2, 239, 227, 5721, 3, 6, 3, 31, 31, 3, 88, 1219, 140, 3, 6, 1180, 112, 13447, 7, 640, 82, 29339, 11, 323, 82, 18312, 7, 3, 5, 1, 3, 2, 78, 18, 7, 32, 1116, 3, 58, 3, 31, 31, 1, 3, 23, 3, 6106, 3138, 3, 5, 1, 3, 2, 3, 23, 3384, 34, 3, 31, 7, 710, 2103, 11, 66, 3, 233, 3, 31, 31, 3, 2, 34, 3, 31, 7, 8957, 3, 5, 3, 31, 31, 1, 3, 2, 68, 3, 23, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8, 1365, 2835, 47, 8, 15277, 52, 388, 3, 55, 1, 3, 88, 8190, 132, 3, 6, 13205, 38, 3, 88, 141, 118, 30, 8, 2412, 1585, 3, 6, 112, 6026, 14602, 44, 112, 5738, 3, 6, 11, 16, 80, 609, 3, 6, 3, 9, 54, 15, 3, 5, 1, 112, 7447, 3, 28460, 2053, 130, 6979, 3, 5, 1, 3, 88, 2299, 38, 341, 38, 3, 9, 7527, 15, 3, 5, 1, 6928, 532, 210, 2509, 26, 4698, 10105, 26, 1416, 28, 4698, 226, 3, 5, 1, 131, 258, 6928, 532, 210, 3, 63, 15437, 38, 8, 1588, 16644, 112, 8425, 11, 13447, 3, 5, 1, 406, 1631, 3, 6, 3, 88, 19795, 15, 26, 34, 550, 3, 6, 3, 5885, 8, 12314, 12, 1369, 157, 91, 3, 5, 1, 14882, 541, 3353, 8, 27755, 443, 3, 5, 1, 966, 44, 728, 3, 6, 4698, 226, 10056, 430, 1588, 3, 5, 1, 6928, 532, 210, 808, 46, 16, 4571, 14016, 651, 1147, 223, 2239, 21, 713, 8, 15277, 52, 388, 141, 59, 2301, 3, 6, 112, 2053, 130, 230, 1148, 539, 3, 5, 1, 8, 12674, 42, 115, 7, 3776, 12, 3314, 8, 659, 45, 8, 1588, 11, 4061, 34, 223, 3, 5, 1, 4698, 226, 13139, 4295, 11, 8744, 388, 23, 44, 8, 15277, 52, 388, 7, 5738, 3, 5, 1, 6928, 532, 210, 1800, 46, 5299, 10191, 38, 8, 388, 163, 3993, 26, 3, 6, 3, 20508, 3, 9, 356, 13, 4459, 15, 26, 3841, 3, 5, 1, 3, 2, 103, 3, 29, 31, 17, 888, 3, 6, 3, 31, 31, 4698, 226, 15240, 8, 388, 3, 5, 1, 3, 2, 4698, 226, 3, 6, 3, 31, 31, 6928, 532, 210, 243, 3, 5, 1, 3, 2, 320, 3, 5, 3, 31, 31, 1, 3, 88, 8744, 1909, 8, 15277, 52, 388, 213, 3, 11394, 979, 13, 1131, 659, 3, 4707, 29, 1054, 441, 8, 14882, 3, 5, 1, 79, 228, 163, 36, 80, 589, 3, 18, 532, 14231, 24, 141, 17263, 135, 223, 234, 3, 5, 1, 3, 2, 661, 3, 55, 3, 31, 31, 1, 4698, 226, 243, 3, 5, 1, 68, 6928, 532, 210, 47, 641, 2767, 3, 6, 492, 3, 9, 11454, 211, 107, 21, 8, 1039, 1365, 3, 5, 1, 112, 5299, 2410, 47, 24, 16, 8, 14882, 3, 6, 3, 88, 133, 661, 3, 7, 20072, 139, 8, 1365, 3, 6, 16, 84, 495, 8, 14231, 133, 43, 376, 3, 5, 1, 8247, 8, 1365, 3, 7, 210, 425, 539, 274, 376, 11, 5470, 659, 3, 25895, 8, 27755, 443, 3, 5, 1, 108, 26, 11, 3, 15429, 9, 7, 141, 2031, 4682, 95, 28, 376, 3, 6, 11, 5775, 590, 8, 194, 3, 6, 79, 141, 7347, 3, 9, 24167, 3, 5, 1, 3, 9, 3, 31763, 15, 157, 877, 91, 45, 8, 14231, 38, 1116, 38, 8, 659, 4283, 3, 5, 1, 70, 16242, 3, 75, 2593, 3, 6155, 776, 8, 10740, 213, 79, 8190, 131, 1096, 8, 1365, 3, 5, 1, 3, 2, 129, 91, 13, 8, 194, 3, 55 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8, 3, 60, 7, 8312, 663, 344, 135, 3, 5, 1, 3519, 29, 9, 19, 8, 3, 1468, 4885, 3, 6, 941, 988, 13, 443, 32, 747, 3, 31, 7, 27610, 3, 5, 1, 3, 2, 213, 3, 31, 7, 183, 63, 3, 58, 3, 31, 31, 1, 443, 32, 747, 845, 3, 5, 1, 3, 2, 22861, 3, 6, 3, 31, 31, 3519, 29, 9, 845, 3, 5, 1, 255, 3, 9033, 7, 3, 6, 258, 617, 7, 3, 6, 3, 2, 255, 1114, 12, 214, 572, 1907, 102, 9, 19, 3, 29, 31, 17, 270, 3, 5, 3, 31, 31, 1, 3, 2, 24, 3, 31, 7, 1389, 3, 5, 3, 31, 31, 1, 443, 32, 747, 6750, 541, 3, 6, 48, 97, 2612, 1222, 12, 36, 78, 6195, 3, 5, 1, 160, 1905, 19, 230, 72, 145, 985, 6364, 3, 6, 11, 255, 3369, 34, 30, 8, 3485, 3, 5, 1, 3, 2, 82, 1905, 398, 43, 3, 20279, 3, 9, 7653, 3, 6, 3, 31, 31, 255, 845, 3, 6, 28, 3, 9, 306, 3, 6, 10045, 6467, 195, 3, 6, 274, 26210, 53, 3, 5, 1, 21, 3, 9, 511, 3, 6, 132, 3, 31, 7, 10844, 3, 5, 1, 258, 3519, 29, 9, 845, 3, 10, 3, 2, 34, 3, 31, 7, 6765, 271, 223, 270, 3, 5, 1, 34, 1416, 78, 3, 233, 3, 31, 31, 3, 2, 315, 3, 58, 3, 31, 31, 1, 3519, 29, 9, 8944, 7, 160, 819, 3, 5, 1, 3, 2, 150, 3, 5, 1, 8, 337, 3, 5, 1, 24, 3, 31, 7, 125, 3, 31, 7, 10088, 81, 34, 3, 5, 3, 31, 31, 1, 255, 3, 12763, 21, 3, 9, 422, 21806, 3, 9905, 3136, 25589, 52, 3, 6, 80, 13, 3, 9, 9611, 3136, 25589, 52, 7, 2354, 986, 3, 24063, 3, 22148, 3, 5, 1, 3, 2, 572, 410, 3, 88, 453, 66, 48, 11797, 3, 58, 3, 31, 31, 1, 3, 2, 3, 32, 107, 3, 6, 25, 214, 3, 5, 3, 31, 31, 1, 443, 32, 747, 1217, 430, 108, 102, 13, 2013, 3, 5, 1, 3, 2, 39, 2353, 47, 470, 182, 207, 44, 294, 53, 28, 378, 3, 5, 3, 31, 31, 1, 8, 1234, 1345, 7544, 120, 11709, 3, 5, 1, 2354, 986, 3, 24063, 47, 3, 9, 12501, 3, 5, 1, 3, 88, 1940, 223, 609, 18, 27222, 3, 3198, 28501, 45, 140, 226, 5807, 11, 18459, 45, 3, 1744, 342, 1982, 9, 38, 168, 38, 3, 11073, 26, 1024, 12647, 7, 45, 18222, 11, 2877, 18410, 45, 260, 159, 3, 6, 84, 3, 88, 3, 6668, 3, 6, 406, 12447, 42, 3575, 63, 3, 6, 416, 12, 926, 615, 2831, 7, 16, 112, 810, 3, 5, 1, 3, 88, 4759, 2959, 10579, 11, 6702, 7, 3, 6, 2877, 23082, 12572, 8181, 7, 11, 926, 3, 15, 7, 19754, 32, 768, 3, 6, 3, 12963, 7, 11, 843, 16534, 11, 12212, 7, 3, 5, 1, 3519, 29, 9, 10681, 3, 9, 422, 8196, 300, 8, 1228, 3, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 53, 91, 3, 99, 3, 23, 2124, 135, 44, 66, 3, 5, 1, 3, 2, 3, 29, 2407, 106, 3, 55, 3, 31, 31, 1, 8, 337, 5502, 764, 1180, 323, 8, 12295, 3, 6, 112, 5738, 3, 88, 9, 3745, 3, 5, 1, 3, 2, 8, 5778, 3, 233, 3, 31, 31, 3, 88, 21222, 147, 11, 3, 26402, 91, 3, 9, 1806, 1329, 13, 799, 3, 5, 1, 3, 2, 8, 2102, 3814, 57, 8, 5191, 3, 233, 3, 31, 31, 3, 2, 4273, 3, 58, 3, 31, 31, 1, 3, 29, 2407, 106, 243, 256, 10061, 120, 3, 5, 1, 3, 2, 79, 3, 31, 60, 9901, 3, 5, 3, 31, 31, 1, 3, 88, 14014, 135, 147, 12, 178, 3, 5, 1, 3, 2, 3, 23, 3, 31, 195, 143, 8167, 11, 1299, 135, 190, 8, 4680, 7573, 7, 68, 3, 6, 8, 1683, 469, 3, 58, 1, 34, 47, 3, 29, 31, 17, 490, 3, 5, 3, 31, 31, 1, 82, 809, 3, 12124, 52, 1361, 28, 7839, 3, 5, 1, 47, 8, 5191, 16, 841, 3, 31, 7, 6743, 119, 145, 69, 7, 3, 58, 1, 149, 8, 7927, 410, 24, 1837, 16, 69, 293, 690, 3, 58, 1, 3, 2, 2049, 3, 5, 3, 31, 31, 1, 3, 29, 2407, 106, 150, 15748, 3, 5, 1, 3, 2, 728, 62, 43, 8, 5778, 3, 6, 62, 3, 31, 195, 240, 34, 45, 132, 3, 6, 734, 3, 58, 3, 31, 31, 1, 3, 2, 4273, 108, 52, 3, 6, 13, 503, 108, 52, 3, 5, 1, 3, 23, 3, 31, 195, 752, 8, 5752, 214, 3, 5, 3, 31, 31, 1, 3, 2, 168, 3, 5, 3, 31, 31, 1, 3, 29, 2407, 106, 19375, 26, 11, 19206, 26, 8, 5094, 13, 112, 620, 3, 52, 1890, 3, 5, 1, 3, 2, 56, 280, 664, 36, 13006, 3, 58, 3, 31, 31, 1, 3, 2, 19021, 3, 5, 3, 31, 31, 1, 15389, 2131, 1054, 3, 5, 1, 3, 2, 16, 495, 25, 3413, 130, 3, 6, 3, 32, 107, 3, 23, 103, 3, 29, 31, 17, 214, 3, 6, 9220, 3, 58, 1, 4376, 3, 58, 1, 3, 23, 1243, 3, 6, 269, 15634, 9699, 4014, 966, 13677, 3, 9, 360, 1274, 977, 3, 6, 3, 23, 530, 34, 3, 6, 68, 34, 5958, 7, 114, 7927, 11, 3, 23, 310, 3, 6, 310, 174, 12, 143, 417, 15533, 19, 3, 29, 31, 17, 44, 8, 629, 3, 19160, 8, 15200, 45, 8, 3196, 16, 3, 9, 3, 7, 10536, 21556, 13, 13868, 250, 25, 1622, 160, 550, 3, 6, 3, 29, 2407, 106, 3, 5, 3, 31, 31, 1, 44, 24, 3, 29, 2407, 106, 24524, 3, 5, 1, 3, 2, 116, 19, 15533, 59, 2816, 7, 3843, 3, 6, 15389, 3, 58, 3, 31, 31, 1, 15389, 3, 7, 5884, 5100, 3, 5, 1, 3, 2, 103, 3, 29, 31, 17, 25, 3516, 81, 24, 3, 5, 3, 31, 31, 1, 3, 2, 27635, 53, 3, 6, 3, 31, 31, 3, 23 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2773, 1959, 1556, 10055, 42, 1959, 13, 136, 1157, 485, 1556, 16, 8, 71, 18, 2796, 9, 5398, 5, 8233, 7, 21, 1157, 2323, 33, 92, 1026, 139, 905, 5, 37, 11839, 33, 4061, 3718, 57, 66, 750, 5069, 1508, 113, 33, 276, 4795, 724, 5, 71, 804, 563, 13, 21077, 7, 19, 2162, 44, 8, 414, 13, 8, 774, 6, 8, 1959, 28, 8, 2030, 381, 13, 11839, 2852, 8, 13741, 4668, 5, 37, 9365, 19, 2650, 227, 80, 13, 2051, 31, 7, 167, 2581, 11, 1574, 1508, 6, 8929, 2566, 2091, 5, 5209, 4047, 31, 7, 10929, 49, 13, 8, 2929, 3677, 276, 4795, 3092, 20002, 71, 18, 2796, 9, 5398, 2271, 13, 8, 7960, 37, 71, 18, 2796, 9, 5398, 2271, 13, 8, 7960, 19, 5539, 12, 8, 5533, 31, 7, 200, 1508, 2639, 16, 3, 9, 314, 3486, 3486, 3239, 28, 8, 200, 3763, 92, 2639, 5, 37, 372, 19, 2639, 57, 8, 276, 4795, 6580, 3201, 6, 3, 9, 563, 13, 1798, 23375, 32, 32, 7, 6, 3370, 15639, 11, 16085, 5, 2628, 104, 4198, 3325, 2248, 17, 2810, 7, 10, 3440, 10, 1957, 19459, 32, 19575, 1635, 6, 24272, 907, 12250, 15, 15, 10, 1, 100, 19, 3, 9, 570, 13, 11673, 1273, 151, 11, 717, 8141, 16, 26334, 113, 33, 801, 21, 70, 3, 18118, 152, 8514, 6174, 161, 5, 21171, 10618, 6, 3, 12290, 11, 3, 18118, 152, 8514, 102, 343, 3576, 630, 6, 8571, 1915, 27981, 138, 41, 8991, 32, 2754, 630, 4523, 17143, 61, 9066, 1184, 29, 15, 6, 873, 9290, 11, 3, 18118, 152, 8514, 102, 343, 12249, 9, 5417, 6, 11673, 1273, 1157, 343, 11, 20386, 9027, 16636, 521, 3643, 157, 7093, 2444, 7, 15, 13, 925, 265, 1079, 3424, 3706, 8200, 7, 7588, 6538, 7547, 6, 3, 15719, 17899, 12, 10747, 11975, 8627, 2715, 961, 89, 89, 651, 15, 6, 2809, 12394, 13, 1524, 2715, 7872, 12833, 49, 6, 389, 4707, 1608, 12966, 6, 1813, 1720, 13, 4574, 210, 35, 7, 17, 2381, 13390, 454, 10398, 15818, 1546, 115, 1840, 1079, 16141, 195, 6, 18176, 13, 472, 27, 162, 7, 12092, 5049, 6372, 40, 6, 3, 15719, 17899, 12, 10747, 11975, 4599, 276, 5, 4691, 40, 32, 291, 6, 268, 348, 6, 2809, 12394, 13, 1524, 14735, 10801, 15, 6, 389, 4707, 1608, 12966, 6, 1813, 1720, 13, 472, 11995, 1208, 17881, 7, 8188, 152, 8514, 102, 343, 7, 11673, 1273, 3, 18118, 152, 8514, 102, 343, 7, 1, 96, 23576, 35, 20235, 121, 19, 3, 9, 14551, 19270, 5221, 57, 23124, 11603, 11, 2291, 10001, 2826, 275, 277, 35, 9323, 3076, 3, 104, 507, 3072, 137, 276, 3171, 9251, 290, 33, 502, 2170, 28, 9468, 10596, 182, 3, 14339, 6, 11, 48, 19, 8, 495, 13, 2737, 6, 113, 65, 3, 9, 248, 1418, 21, 723, 6, 902, 21, 8, 5253, 5, 3, 3626, 34, 16, 8, 615, 116, 3, 88, 13919, 95, 6, 12235, 53, 376, 16, 112, 842, 116, 19, 16, 333, 11, 396, 116, 112, 4948, 13919, 6, 34, 92, 991, 12, 10393, 11, 5987 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 7, 144, 30, 160, 4808, 3, 5, 1, 2669, 27871, 26, 139, 25808, 1222, 992, 3, 5, 1, 3, 7, 12499, 410, 3, 29, 31, 17, 369, 223, 336, 706, 3, 6, 3, 15, 635, 9, 5723, 3, 5, 1, 255, 470, 435, 140, 3, 5, 1, 3, 2, 1749, 3, 9, 1962, 3, 5, 3, 31, 31, 1, 3, 15, 635, 9, 19303, 26, 3, 51, 52, 7, 5, 3, 935, 2110, 3, 31, 7, 2939, 3, 5, 1, 48, 141, 2767, 396, 623, 3, 5, 1, 424, 47, 310, 1786, 3, 5, 1, 3, 2, 48, 19, 3, 9, 6202, 3, 5, 3, 31, 31, 1, 3, 2, 13, 503, 34, 3, 31, 7, 3, 9, 6202, 3, 5, 3, 31, 31, 1, 3, 51, 52, 7, 5, 3, 935, 2110, 3, 18731, 640, 8, 562, 11, 3, 17, 13296, 3, 9, 3116, 13, 6336, 13476, 710, 7, 3, 6, 3, 9, 1964, 52, 18, 1549, 5040, 420, 3, 6, 27550, 3, 6, 11, 3, 9, 3, 210, 173, 739, 9999, 7782, 15, 17, 139, 3, 9, 600, 1131, 9999, 2182, 28, 8, 564, 3, 7, 12499, 12261, 15, 26, 640, 8, 596, 3, 5, 1, 3, 2, 410, 3, 29, 31, 17, 25, 356, 46, 6196, 3, 58, 3, 31, 31, 1, 258, 255, 3, 9033, 26, 11, 3, 7, 51, 13365, 6257, 14292, 30, 8, 29339, 3, 5, 1, 3, 2, 125, 183, 3, 23, 1631, 3, 58, 1, 13, 503, 25, 410, 3, 29, 31, 17, 3, 5, 1, 34, 3, 31, 7, 25, 3, 5, 3, 31, 31, 1, 3, 23, 7533, 82, 3912, 38, 255, 6292, 8, 9999, 2182, 30, 8, 1953, 11, 3, 172, 15437, 34, 95, 4095, 3, 5, 1, 237, 82, 293, 2039, 228, 3, 29, 31, 17, 817, 24, 3, 15, 635, 9, 47, 3, 29, 31, 17, 140, 3, 5, 1, 3, 51, 52, 7, 5, 3, 935, 2110, 8744, 3, 15, 635, 9, 2957, 8, 3270, 255, 3, 31, 26, 7245, 2667, 30, 8, 1953, 3, 5, 1, 116, 3, 15, 635, 9, 410, 3, 29, 31, 17, 888, 3, 6, 255, 3, 13658, 88, 26, 3, 6, 3, 63, 152, 5100, 8, 3270, 45, 8, 5168, 49, 3, 6, 11, 3, 26, 28581, 34, 147, 3, 15, 635, 9, 3, 31, 7, 819, 3, 5, 1, 3, 2, 3, 23, 54, 2019, 25, 12, 474, 39, 4439, 30, 57, 909, 3, 6, 212, 3, 29, 31, 17, 3, 23, 3, 58, 3, 31, 31, 1, 3, 51, 52, 7, 5, 3, 935, 2110, 243, 20994, 3, 6, 3609, 95, 3, 9, 9585, 57, 165, 3, 17, 18, 7, 16081, 3, 5, 1, 8, 3783, 243, 14124, 57, 14124, 2662, 509, 115, 7, 3, 5, 1, 3, 2, 36, 323, 21, 3688, 16, 192, 676, 3, 5, 3, 31, 31, 1, 3, 2, 1749, 3, 55, 3, 31, 31, 1, 3, 15, 635, 9, 4973, 15, 26, 3, 6, 68, 3, 51, 52, 7, 5, 3, 935, 2110, 141, 641, 11660, 26, 91, 13, 8, 562, 11, 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 ]
[ 13, 135, 3, 5, 1, 7922, 16310, 3, 31, 7, 2053, 3, 6, 3, 25536, 3300, 230, 12, 8, 3, 122, 14351, 13, 8, 1679, 7, 3, 6, 1509, 3, 9, 15986, 11052, 13, 424, 78, 1450, 24, 34, 228, 59, 3673, 36, 3, 9, 388, 3, 5, 1, 3, 2, 3, 9, 6079, 3, 55, 3, 31, 31, 1, 3, 88, 3, 7, 11763, 15, 26, 16, 3, 9, 12914, 13647, 3, 5, 1, 258, 3, 6, 250, 3, 88, 47, 21436, 11, 250, 762, 24, 141, 2817, 24, 2272, 141, 914, 3, 31807, 396, 231, 1286, 376, 66, 44, 80, 97, 3, 6, 112, 9077, 8238, 11, 3, 88, 12862, 15, 26, 139, 8, 3124, 3, 5, 1, 3, 2, 7922, 16310, 3, 55, 3, 31, 31, 1, 22708, 3, 3233, 3, 31, 7, 2249, 3, 24781, 91, 227, 376, 3, 6, 3, 2, 369, 223, 3, 55, 3, 31, 31, 1, 68, 13647, 141, 1026, 1520, 13, 376, 3, 5, 1, 3, 88, 4037, 30, 3, 6, 7306, 147, 8523, 11, 3, 30271, 3, 6, 3, 29126, 139, 3124, 11, 3, 8967, 697, 112, 6217, 16, 3858, 51, 2296, 7, 3, 5, 1, 34, 3776, 114, 128, 9590, 19400, 13, 5480, 3777, 3, 5, 1, 3, 88, 4037, 423, 20382, 139, 3, 9, 731, 9270, 53, 3, 6, 1149, 15, 35, 6421, 3, 6, 11, 13233, 7, 21803, 26, 274, 112, 2053, 28, 8, 12914, 6019, 12, 112, 29339, 3, 5, 1, 3, 88, 8260, 30, 8, 14832, 3596, 3, 6, 1807, 2462, 11, 78, 17784, 3, 6, 1119, 12, 964, 112, 819, 3, 5, 1, 11, 258, 132, 130, 1780, 30, 376, 3, 6, 21315, 23, 26, 3, 6, 1149, 15, 35, 1780, 3, 5, 1, 3, 9, 7863, 17187, 7, 4923, 15, 26, 190, 112, 809, 44, 728, 3, 6, 11, 3, 88, 4393, 26, 22386, 3, 6, 1119, 12, 3314, 112, 836, 6938, 3, 5, 1, 3, 2, 3, 32, 107, 3, 6, 150, 3, 6, 3, 31, 31, 3, 9, 2249, 243, 3, 5, 1, 3, 2, 5839, 13, 24, 3, 6, 82, 18383, 3, 5, 3, 31, 31, 1, 112, 836, 6938, 47, 1026, 45, 376, 3, 5, 1, 3, 2, 33, 25, 352, 12, 3, 1544, 140, 3, 58, 3, 31, 31, 1, 7922, 16310, 4698, 7310, 26, 3, 6, 112, 2249, 7814, 3, 5, 1, 112, 2468, 17, 127, 24524, 3, 5, 1, 3, 2, 30, 39, 1922, 3, 6, 18383, 3, 6, 3, 31, 31, 3, 88, 243, 3, 6, 11, 7922, 16310, 1800, 2448, 6756, 95, 57, 3, 9, 1101, 609, 3, 5, 1, 112, 2939, 47, 1026, 16, 3, 9, 1669, 14304, 3, 6, 11, 3, 88, 47, 985, 3, 26, 28581, 190, 8, 1679, 7, 3, 5, 1, 5775, 2177, 132, 47, 3, 9, 659, 3, 6, 3, 9, 1369, 1765, 1472, 859, 8, 3124, 3, 6, 11, 34, 3776, 24, 3, 88, 47, 271, 1026, 24, 194, 3, 5, 1, 3, 88, 2124, 24, 3, 88, 398, 317, 3, 6, 398, 13282, 15, 128, 598, 13, 6754 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 390, 30, 8, 3248, 13, 481, 31, 2503, 16, 8, 3939, 5, 37, 496, 31, 7, 1449, 47, 3754, 28, 8, 5792, 13, 391, 13431, 308, 31, 7, 3581, 12528, 6, 11, 47, 2012, 1884, 12, 8, 1849, 13, 8, 2735, 18, 13907, 496, 215, 5, 37, 496, 4790, 8, 4751, 6536, 6, 8, 180, 5, 382, 5, 427, 5, 329, 5, 599, 31385, 6, 3669, 6, 5623, 6, 11, 23516, 201, 8, 1331, 1769, 11, 17157, 6, 8, 10893, 87, 3, 26656, 4218, 6, 11, 8, 1685, 2854, 30358, 7, 5, 10007, 16587, 7, 37, 14798, 15568, 13, 8, 3547, 3940, 536, 481, 3, 15097, 16, 2038, 11590, 47, 10, 17830, 3, 18, 943, 5, 6170, 27144, 3, 18, 9526, 5, 5170, 13424, 797, 87, 188, 521, 7, 3304, 3, 18, 4097, 6370, 6578, 87, 25480, 3368, 277, 3, 18, 3594, 6370, 1589, 3, 18, 8808, 6370, 978, 2837, 447, 3, 18, 3097, 5, 5406, 1945, 3, 18, 8798, 5, 6932, 4908, 52, 9, 4703, 3, 18, 2853, 6932, 2838, 5, 5988, 13, 8, 481, 130, 5573, 21, 339, 42, 3915, 3074, 5, 18373, 7, 21838, 13068, 1592, 1121, 704, 10137, 7, 485, 11, 10243, 10137, 7, 485, 10929, 6, 22398, 6, 21249, 41, 329, 35, 11, 4047, 201, 7063, 6, 23375, 41, 329, 35, 11, 4047, 201, 18539, 6, 4969, 1306, 3184, 6, 11759, 3184, 6, 8799, 6, 11, 7257, 41, 329, 35, 11, 4047, 201, 4737, 6993, 6, 11, 27223, 5, 328, 92, 462, 1886, 2100, 224, 38, 2336, 22068, 41, 11982, 1054, 57, 8, 496, 31, 7, 5989, 372, 61, 11, 17913, 8561, 7, 346, 15, 5, 37, 3370, 6, 887, 31, 7, 8498, 6, 887, 31, 7, 10749, 6, 11, 1835, 3184, 2323, 43, 8182, 2496, 12, 8, 15289, 7, 334, 215, 5, 11243, 7, 21838, 13068, 1592, 1121, 19, 1702, 12, 36, 8, 96, 9423, 222, 121, 496, 16, 391, 13431, 308, 11, 47, 1192, 28, 3, 9, 941, 11, 17492, 18, 4905, 408, 5, 3, 10688, 6929, 6, 8, 496, 47, 2650, 9132, 2326, 18, 27576, 16, 8088, 17881, 7, 26241, 2416, 3570, 23603, 3, 3463, 188, 21662, 9609, 3120, 14092, 1121, 3570, 1592, 2061, 16, 6060, 106, 1334, 6, 2514, 2575, 306, 2061, 16, 2514, 1, 312, 29, 9, 1534, 41, 117, 2170, 1718, 7973, 12701, 201, 19, 3, 9, 4151, 2790, 14915, 801, 21, 3447, 5964, 1150, 1894, 10425, 451, 47, 8, 4668, 13, 8, 5964, 2830, 7030, 5545, 288, 4406, 5, 451, 10627, 16, 5964, 2830, 1331, 3105, 68, 410, 59, 286, 16, 8, 420, 220, 117, 8, 13741, 4668, 47, 312, 4515, 1414, 5, 2106, 5984, 1534, 47, 2170, 16, 20500, 152, 6, 12077, 26, 2444, 11, 256, 27467, 12, 1894, 44, 1246, 4169, 5, 86, 2628, 6, 255, 10627, 16, 5964, 1150, 1894, 5, 451, 2369, 38, 8, 314, 189, 3, 10806, 18, 413, 5, 451, 92, 1204, 8, 5964, 5810, 17890, 11, 5964, 26696, 2760, 5, 37, 4668, 13, 5964, 1150, 1894, 2628, 47, 312, 9, 107, 12749, 277, 15, 5, 461, 1332, 12026, 2464, 6, 1534, 751, 8 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 5, 1, 3, 2, 25, 214, 81, 24, 29704, 77, 3, 31, 4459, 20735, 369, 12, 1511, 3, 58, 3, 31, 31, 1, 3, 2, 1509, 34, 30, 8, 194, 270, 3, 5, 1, 492, 151, 6139, 3, 5, 1, 43, 25, 1943, 81, 8, 20735, 3461, 1067, 13, 44, 6761, 9, 3, 58, 3, 31, 31, 1, 3, 2, 3, 63, 15, 102, 3, 5, 1, 34, 3, 31, 7, 30, 8, 4653, 4939, 3, 6, 396, 3, 5, 1, 6917, 317, 8, 8310, 2366, 33, 128, 773, 13, 600, 6259, 2767, 3, 89, 6254, 20207, 3, 5, 1, 79, 317, 841, 3, 31, 7, 118, 3, 26718, 11, 990, 175, 378, 3, 5, 1, 25, 394, 36, 6195, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 43, 3, 29, 31, 17, 3, 21082, 139, 3, 9, 21168, 3, 5, 3, 31, 31, 1, 3, 2, 150, 3, 6, 68, 3, 23, 1616, 5931, 883, 3, 31, 7, 10126, 539, 774, 30, 66, 8310, 2366, 3, 5, 3, 31, 31, 1, 3, 2, 66, 3, 58, 1, 68, 59, 140, 3, 6, 269, 3, 58, 3, 31, 31, 1, 3, 2, 103, 3, 29, 31, 17, 214, 3, 5, 1, 25, 36, 6195, 3, 5, 3, 31, 31, 1, 255, 141, 12, 129, 1735, 3, 6, 68, 213, 47, 6467, 5627, 3, 58, 1, 10075, 2462, 160, 10518, 3, 6, 255, 5723, 149, 255, 228, 253, 91, 3, 99, 3, 3987, 63, 141, 136, 800, 213, 6467, 5627, 141, 2767, 227, 3, 88, 3, 31, 26, 3, 1931, 16262, 139, 8, 24435, 11916, 7, 3, 5, 1, 3, 2, 103, 25, 214, 3461, 8, 1076, 45, 8, 3, 2726, 115, 228, 7387, 13104, 3, 6, 114, 300, 8, 3157, 17, 9, 6579, 6991, 16, 7092, 3, 58, 3, 31, 31, 1, 3, 3987, 63, 2299, 550, 3, 6, 112, 7524, 3, 18450, 4513, 91, 38, 3, 99, 3, 7290, 49, 53, 3, 5, 1, 3, 2, 13104, 3, 6, 25, 497, 3, 58, 1, 3, 23, 1943, 728, 81, 11916, 7, 8, 625, 8348, 18092, 277, 497, 8, 24435, 30371, 116, 34, 47, 1192, 3, 5, 3, 31, 31, 1, 255, 1114, 12, 8719, 44, 112, 2848, 12, 3, 2, 625, 3, 31, 31, 8348, 18092, 277, 3, 5, 1, 3, 3987, 63, 141, 3977, 12010, 203, 977, 116, 3, 88, 3, 31, 26, 3, 25726, 6666, 12, 8, 2479, 30, 6162, 1084, 3, 3987, 63, 2833, 3, 5, 1, 3, 2, 213, 33, 8, 11916, 7, 3, 58, 3, 31, 31, 1, 3, 2, 125, 25, 530, 21, 140, 3, 58, 3, 31, 31, 1, 255, 3, 4246, 11196, 3, 6, 3, 2, 25525, 3, 6, 3, 31, 31, 11, 6756, 3, 9, 4782, 13, 625, 5827, 49, 45, 160, 5040, 2182, 3, 5, 1, 255, 6229, 34, 91, 12, 376, 3, 5, 1, 3, 2, 270, 3, 5, 3, 31, 31, 1, 3, 88, 8238, 91, 3, 9, 490, 3993, 21, 24, 3, 6, 258, 2299, 44, 160, 1672, 288, 120, 3, 5, 1, 3, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 52, 526, 2, 6, 713, 5, 216, 5821, 11471, 265, 332, 83, 23, 2, 44, 29231, 29, 7, 17, 1621, 16, 1762, 4791, 68, 646, 8, 1886, 227, 4380, 135, 45, 3, 60, 5772, 257, 16, 1515, 3846, 216, 141, 1279, 38, 46, 6165, 12, 819, 3763, 11670, 23, 5884, 8272, 354, 29, 23, 2, 44, 17806, 291, 11, 18223, 808, 147, 116, 8272, 354, 29, 23, 2, 47, 3, 7, 13365, 16, 1332, 6386, 17881, 7, 26241, 2416, 14226, 3, 18, 445, 7674, 5972, 566, 16583, 3879, 7, 5753, 151, 2449, 45, 3, 7855, 1924, 26, 127, 2125, 3370, 2076, 1846, 277, 31275, 11, 9372, 6066, 2494, 9, 3370, 277, 31275, 11, 9372, 6066, 2494, 9, 1038, 3370, 277, 3, 17345, 29231, 29, 7, 17, 1621, 2106, 1024, 2, 1508, 3, 17345, 3083, 208, 4953, 1508, 377, 439, 17806, 291, 3, 7855, 1924, 26, 127, 1508, 454, 9521, 15, 40, 332, 1629, 89, 52, 23, 5397, 5838, 106, 377, 5, 254, 5, 1508, 6552, 3815, 13, 31275, 11, 9372, 6066, 2494, 9, 1508, 1485, 3815, 13, 8, 14828, 13, 31275, 11, 9372, 6066, 2494, 9, 1508, 9351, 6552, 3815, 1508, 31275, 11, 9372, 6066, 2494, 9, 8116, 9, 1788, 342, 3370, 277, 3, 12882, 9, 1788, 342, 3370, 277, 16, 3352, 31275, 11, 9372, 6066, 2494, 9, 8116, 9, 1788, 342, 2100, 16588, 16, 3352, 31275, 11, 9372, 6066, 2494, 9, 3370, 5903, 3, 17345, 29231, 29, 7, 17, 1, 5788, 2414, 1169, 19, 46, 1113, 3, 2935, 449, 16, 15428, 5, 94, 7797, 3414, 13, 8, 8930, 52, 20, 486, 9, 6527, 9, 11, 47, 5147, 3, 3539, 11212, 3, 2, 2777, 6, 2313, 203, 977, 977, 57, 8, 1113, 13, 46, 27, 5359, 23269, 155, 15, 5, 94, 19, 1148, 11, 1659, 11, 2579, 3, 9, 3136, 2131, 5, 3462, 3, 9, 360, 28447, 7, 13, 8, 23269, 155, 15, 24, 5147, 8, 3, 2935, 449, 43, 118, 4759, 6, 28, 167, 13, 8, 12288, 271, 13, 415, 5233, 5, 37, 3, 2935, 449, 47, 3883, 16, 20236, 11, 4313, 38, 46, 1113, 3, 2935, 449, 16, 20658, 5, 3892, 892, 37, 3, 2935, 449, 47, 166, 18024, 12, 36, 46, 1113, 3, 2935, 449, 16, 20236, 6, 116, 34, 47, 435, 30, 22142, 1383, 5, 621, 873, 7925, 585, 30, 8, 353, 435, 2084, 13, 8, 1113, 605, 6, 34, 47, 4313, 38, 46, 1113, 3, 2935, 449, 16, 20658, 5, 37, 3, 2935, 449, 65, 59, 118, 3, 28940, 5, 94, 7, 564, 19, 3, 9942, 45, 8, 4180, 620, 213, 34, 19, 1069, 11, 45, 8, 1511, 13, 5788, 2414, 1169, 3, 5, 37, 12257, 1511, 19, 1276, 630, 6, 25806, 13, 8, 3, 2935, 449, 5, 389, 625, 86, 1258, 1373, 6, 84, 1550, 45, 8, 5824, 7087, 12, 1051, 24923, 20, 486, 9, 6527, 9, 11, 856, 12, 17946, 6, 3154, 45, 8, 3, 2935, 449, 5, 37, 3, 2935, 449, 65, 118, 3, 10863, 57, 11469, 23, 17457, 4540, 7137, 3781, 11, 9375, 12572, 11019, 29, 2975, 52, 12, 36, 80, 13, 8 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 9, 5592, 2377, 5, 216, 65, 92, 751, 186, 6120, 38, 723, 8211, 11, 3, 21101, 5, 4239, 280, 86, 3105, 1289, 7, 4464, 8, 306, 2047, 1167, 296, 6336, 216, 7, 1788, 15, 8932, 15, 17, 15, 5, 2940, 3062, 4004, 13266, 1954, 47, 2170, 16, 3581, 11, 70, 520, 9637, 1079, 16, 10986, 1289, 7, 47, 1381, 16, 3, 9, 306, 3278, 1614, 495, 227, 1215, 861, 2213, 7634, 5376, 4232, 9058, 63, 16, 2628, 3, 12554, 6949, 2288, 109, 6682, 57, 1289, 7, 116, 9058, 63, 47, 344, 850, 11, 10128, 37, 20265, 166, 4283, 16, 493, 8804, 16, 2083, 10986, 37, 1266, 3600, 9, 1592, 2243, 1119, 8, 495, 435, 8, 2084, 16, 17817, 6, 12330, 4409, 262, 157, 7, 6808, 3, 17211, 24, 9058, 63, 47, 3, 9, 96, 8461, 2714, 9051, 113, 1817, 1361, 11, 20, 565, 757, 26, 8, 1614, 11, 141, 3, 9, 540, 10280, 1280, 9058, 63, 31, 7, 3213, 130, 19664, 16, 1882, 2464, 3, 9, 75, 1169, 6031, 1289, 7, 30, 66, 3991, 13, 6949, 2288, 109, 6682, 5, 3, 15944, 8, 8531, 1614, 141, 5563, 3, 9, 4514, 30, 5707, 13, 1030, 13, 8, 3, 12554, 15935, 5, 9236, 783, 14290, 3455, 159, 729, 32, 32, 17, 6, 148, 11, 3159, 2266, 6, 20, 89, 8149, 8, 1614, 31, 7, 5707, 4514, 6, 130, 4234, 19557, 57, 1289, 7, 11, 3725, 26419, 15, 26, 11, 1399, 26, 5, 1289, 7, 877, 30, 12, 1576, 2641, 72, 14234, 87, 20288, 222, 1560, 23436, 7, 227, 8, 2464, 1614, 495, 6, 9058, 63, 5839, 5, 9058, 63, 646, 1013, 2648, 11, 230, 1342, 16, 3144, 4975, 5, 1289, 7, 11, 112, 384, 20069, 26, 12, 368, 5725, 16, 1332, 2735, 11, 79, 230, 619, 16, 2474, 4576, 6, 21829, 30, 1, 13995, 32, 2436, 4476, 19, 3, 9, 3, 729, 302, 13, 5624, 53, 2677, 16, 8, 384, 15612, 23, 3302, 9, 15, 5, 37, 3, 729, 302, 19, 435, 4726, 12, 10468, 1371, 5, 3, 7727, 725, 13995, 32, 2436, 4476, 3, 9, 3044, 23, 8047, 9, 11163, 5, 13995, 32, 2436, 4476, 3, 17670, 8065, 159, 2143, 23, 9, 7, 3, 184, 301, 5, 134, 5, 439, 23, 4844, 107, 5, 13995, 32, 2436, 4476, 212, 6761, 1024, 11038, 5, 448, 32, 26, 52, 5, 13995, 32, 2436, 4476, 24897, 32, 152, 9, 205, 5, 329, 5, 382, 9, 63, 322, 13995, 32, 2436, 4476, 4301, 23, 3302, 9, 283, 5, 7286, 324, 7, 3, 184, 6084, 15, 22334, 13995, 32, 2436, 4476, 4301, 60, 152, 9, 205, 5, 329, 5, 382, 9, 63, 322, 13995, 32, 2436, 4476, 583, 9, 2234, 35, 7, 159, 205, 5, 329, 5, 382, 9, 63, 322, 13995, 32, 2436, 4476, 29346, 159, 7, 603, 9, 14482, 35, 3, 184, 24547, 13995, 32, 2436, 4476, 1907, 99, 322, 9, 7351, 40, 5, 13995, 32, 2436, 4476, 1907, 99, 11783, 17, 9, 5845, 2341, 3, 184, 205, 5, 329, 5, 382, 9, 63, 322, 13995, 32, 2436, 4476, 50, 15, 3466, 205, 5, 329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 133, 6131, 140, 11, 3197, 140, 12, 376, 3, 6, 68, 3, 9, 13909, 13, 3, 9, 3993, 2198, 3843, 300, 112, 4247, 11, 3, 88, 3, 9951, 223, 112, 4358, 15424, 78, 24, 3, 88, 47, 9658, 26, 640, 8, 4295, 3143, 3, 5, 1, 3, 2, 48, 19, 39, 467, 3, 6, 15528, 3, 5, 1, 149, 103, 25, 241, 12, 577, 3, 58, 3, 31, 31, 1, 3, 88, 47, 373, 3, 3131, 140, 16, 8, 2535, 3, 31, 7, 3143, 3, 6, 9759, 82, 6790, 3, 6, 492, 140, 497, 125, 3, 23, 1114, 45, 376, 3, 5, 1, 2087, 24, 47, 572, 3, 23, 470, 3, 6155, 776, 95, 28, 376, 3, 6, 572, 3, 23, 470, 141, 12, 822, 125, 47, 4626, 344, 178, 3, 6, 250, 762, 24, 47, 4626, 47, 125, 3, 23, 47, 3558, 21, 3, 5, 1, 132, 47, 150, 562, 21, 21530, 42, 7661, 24, 194, 3, 5, 1, 3, 23, 3, 7, 15123, 15, 26, 3, 6, 11, 59, 44, 66, 45, 8, 2107, 3, 5, 1, 3, 2, 3, 23, 241, 25, 12, 17387, 140, 3, 5, 3, 31, 31, 1, 3, 88, 3495, 91, 11, 4682, 82, 26554, 16, 112, 609, 11, 261, 34, 12, 14495, 140, 16, 3, 5, 1, 116, 69, 4247, 7, 15880, 3, 6, 34, 47, 78, 231, 72, 145, 3, 9, 650, 17387, 3, 5, 1, 3, 88, 2373, 26, 114, 8, 657, 11, 114, 8, 647, 3, 6, 8, 258, 11, 8, 230, 3, 5, 1, 3, 88, 1800, 78, 1101, 11, 1973, 3, 6, 68, 112, 7524, 130, 1835, 11, 4549, 3, 5, 1, 112, 1133, 47, 8678, 49, 145, 1389, 3, 6, 68, 116, 3, 88, 6756, 140, 4645, 11, 69, 8820, 7, 13033, 15, 26, 3, 6, 8, 26537, 13, 24, 385, 1466, 13, 1946, 3, 88, 3, 15295, 47, 3050, 3, 5, 1, 3, 88, 3, 17, 11802, 1361, 112, 13559, 28, 2000, 3, 6, 11, 261, 112, 3841, 30, 8, 303, 107, 8435, 13, 8, 1096, 13, 82, 10219, 3, 5, 1, 3, 23, 1807, 3138, 139, 8, 17387, 11, 1800, 376, 3, 24238, 109, 3, 5, 1, 274, 3, 6, 3, 23, 133, 43, 3269, 14176, 3, 88, 47, 20692, 44, 140, 3, 5, 1, 230, 3, 23, 2124, 3, 88, 47, 131, 183, 10064, 250, 34, 1800, 24, 207, 11, 3, 88, 2124, 34, 3, 5, 1, 82, 1780, 130, 30, 112, 5738, 11, 3, 23, 261, 135, 12, 456, 12473, 112, 8677, 95, 640, 112, 2667, 9883, 3, 5, 1, 3, 88, 2139, 57, 14931, 112, 6026, 95, 38, 231, 38, 3, 88, 228, 3, 5, 1, 4014, 8, 3, 24092, 628, 11, 149, 4358, 640, 3, 88, 47, 3, 6, 34, 808, 3, 9, 385, 2202, 6119, 12, 129, 8, 3002, 91, 13, 82, 194, 3, 5, 1, 29669, 13033, 7, 2595, 26, 640, 112, 7069, 1133, 11, 3, 23, 21222, 82, 819, 12, 8320, 8, 2102, 640, 112, 13756, 12269, 28, 8, 2226, 13, 82, 13559, 3, 6, 84, 263, 376, 3542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47, 16, 1567, 13, 8, 5714, 22, 7, 778, 3602, 5, 1541, 165, 8752, 6, 34, 65, 118, 21986, 31, 7, 167, 23625, 5714, 5, 94, 3, 6848, 13, 1296, 6795, 6, 11, 34, 47, 3, 25360, 21, 271, 8, 20, 9174, 1530, 21, 2909, 13, 22040, 13, 15724, 11, 13446, 5, 86, 7887, 1798, 1661, 411, 1635, 491, 18, 14885, 9288, 47, 1026, 12, 48, 5714, 227, 578, 118, 147, 12618, 16, 8, 21986, 15, 7, 15, 4897, 3, 26, 31, 15, 17, 144, 5, 7726, 37, 5714, 47, 1192, 28, 7944, 7, 11, 19, 4879, 15, 26, 57, 306, 4427, 4205, 11, 54, 1520, 3986, 13, 22040, 16, 165, 422, 11, 147, 17208, 2640, 5, 94, 7, 1774, 616, 19, 81, 874, 7863, 2812, 8848, 11, 47, 876, 114, 5714, 7, 16, 8, 907, 6524, 13, 8, 778, 957, 189, 2646, 5, 290, 19, 3, 9, 534, 3, 3108, 21, 1827, 22040, 24, 65, 118, 261, 21, 8, 30823, 42, 9328, 13, 1798, 13446, 42, 119, 168, 18, 5661, 21986, 15, 7, 15, 21369, 5, 3, 2092, 8, 789, 13, 411, 1635, 491, 18, 14885, 9288, 6, 8, 868, 5869, 2825, 1433, 11, 3684, 1387, 41, 567, 16994, 61, 47, 16, 1567, 13, 8, 5714, 31, 7, 3602, 5, 94, 19, 1069, 16, 8, 690, 13, 12877, 52, 235, 440, 1117, 16, 8, 1793, 1047, 5353, 6, 1084, 8, 2419, 2504, 109, 11, 416, 12, 8, 16947, 16829, 5, 933, 179, 16, 11171, 411, 1635, 491, 18, 14885, 9288, 41, 8584, 104, 12640, 201, 20, 12151, 1661, 13, 21986, 736, 77, 1212, 8511, 23, 8067, 2738, 6, 24694, 11, 936, 2166, 20622, 41, 10218, 104, 8651, 61, 5186, 32, 1598, 15392, 27, 7, 7, 9, 6, 1798, 13404, 13, 8, 868, 7762, 35, 7, 302, 5205, 7, 24373, 6952, 265, 9, 107, 1290, 1483, 9, 26, 6, 14837, 6, 11, 13008, 9994, 24705, 4498, 7, 152, 901, 18, 382, 450, 15975, 6, 1798, 4761, 11, 1827, 2488, 3, 25812, 31368, 3, 15, 40, 18, 134, 138, 9, 107, 23, 6, 2383, 49, 11, 1798, 789, 2314, 2863, 3959, 61, 891, 221, 40, 13495, 4288, 1824, 8555, 2047, 115, 6, 1798, 7471, 2146, 13, 8, 21986, 15, 7, 15, 26988, 3450, 2863, 4450, 61, 18875, 23, 1824, 491, 18, 329, 9, 107, 26, 23, 6, 1798, 3427, 6323, 11, 24694, 2863, 2518, 61, 17881, 7, 12877, 52, 235, 440, 1117, 27344, 7, 16, 21986, 14706, 13, 21986, 957, 4928, 8752, 7, 16, 21986, 1, 878, 102, 12836, 5186, 9, 839, 41, 25019, 9478, 957, 2266, 6, 30647, 6, 1013, 2648, 18, 683, 83, 63, 12992, 4791, 6236, 2866, 2979, 6, 2599, 61, 47, 46, 768, 12501, 11, 3, 18118, 152, 8514, 102, 343, 5, 1347, 1090, 844, 13, 1046, 130, 797, 12702, 768, 11, 1991, 11, 4092, 5449, 4820, 6, 1991, 6, 11, 8064, 5, 86, 273, 844, 255, 4759, 5456, 5, 5186, 9, 839, 47, 801, 21, 3, 9690, 1516, 3153, 778, 16, 70, 13325, 5, 1261, 3529, 8336, 1285, 160, 859, 8, 910, 420, 12501, 7, 16, 8, 296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 88, 1213, 160, 609, 11, 145, 5100, 160, 21, 492, 376, 3, 9, 2353, 3, 5, 1, 255, 14206, 8, 207, 203, 79, 3, 31, 26, 2471, 3, 6, 8, 1415, 3, 88, 3, 31, 26, 1192, 11, 8, 1965, 4026, 3, 88, 3, 31, 26, 937, 3, 5, 1, 983, 3, 6, 273, 1095, 3, 60, 7619, 7, 75, 1433, 7, 130, 3, 17, 9, 2429, 26, 57, 762, 24, 141, 2237, 95, 12, 11, 2348, 8, 7759, 3, 5, 1, 410, 3, 88, 333, 160, 116, 3, 88, 7122, 139, 3, 9, 1595, 562, 28, 3, 17, 5982, 6820, 11, 258, 764, 234, 44, 706, 3, 6, 66, 3993, 7, 3, 58, 1, 410, 3, 88, 333, 160, 8, 239, 3, 88, 2162, 3, 88, 1114, 3, 9, 7759, 3, 58, 1, 3, 88, 3, 31, 26, 118, 842, 924, 8, 1379, 3, 88, 3, 6412, 91, 8, 1365, 3, 5, 1, 36, 189, 4515, 141, 1279, 614, 12, 17468, 376, 3, 6, 68, 255, 47, 3, 29, 31, 17, 417, 255, 228, 664, 2612, 8, 18827, 1406, 5334, 141, 1940, 139, 160, 280, 11, 160, 502, 3, 31, 7, 3, 5, 1, 42, 228, 255, 3, 58, 1, 3, 99, 79, 130, 12, 3, 28207, 3, 6, 24, 47, 8, 822, 255, 3, 31, 26, 174, 12, 11230, 18, 232, 1525, 3, 5, 1, 3, 2, 3, 23, 317, 3, 23, 3, 31, 195, 8955, 323, 21, 8, 706, 3, 6, 3, 31, 31, 36, 189, 4515, 243, 3, 6, 6733, 160, 484, 3, 5, 1, 3, 2, 3912, 3, 58, 3, 31, 31, 1, 3, 2, 4273, 3, 58, 3, 31, 31, 1, 36, 189, 4515, 3, 60, 9741, 160, 18703, 11, 2299, 95, 44, 160, 3062, 3, 5, 1, 3, 2, 497, 424, 3, 55, 3, 31, 31, 1, 3, 2, 81, 125, 3, 6, 2093, 23, 15, 3, 58, 3, 31, 31, 1, 3, 2, 8, 685, 24, 836, 8155, 341, 5682, 25, 3, 5, 3, 31, 31, 1, 3, 9, 11113, 3, 31, 7, 2053, 3, 12018, 4632, 38, 255, 3, 13106, 21, 36, 189, 4515, 3, 31, 7, 1773, 3, 5, 1, 3, 2, 3, 23, 214, 3, 88, 405, 3, 6, 11, 3, 23, 333, 376, 3, 6, 396, 3, 233, 3, 5, 1, 3, 23, 373, 56, 3, 5, 3, 31, 31, 1, 24, 333, 141, 17250, 68, 8, 12314, 141, 3, 29, 31, 17, 1551, 16644, 91, 3, 5, 1, 255, 410, 3, 29, 31, 17, 241, 12, 473, 959, 21, 5334, 11, 780, 255, 410, 3, 5, 1, 149, 228, 255, 59, 3, 58, 1, 79, 130, 4464, 21, 6786, 203, 3, 5, 1, 255, 3, 31, 26, 787, 3879, 12, 112, 502, 3, 5, 1, 273, 130, 6688, 255, 228, 3, 29, 31, 17, 9751, 42, 2612, 3, 5, 1, 68, 333, 3, 6, 255, 3, 31, 26, 3883, 3, 6, 141, 186, 4458, 3, 6, 186, 18418, 3, 6, 11, 128, 130, 4816, 49, 145, 717, 3, 5, 1, 3, 2, 258, 132, 310, 19, 897, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 255, 141, 894, 3, 5, 1, 255, 718, 160, 1082, 3, 6, 3, 26402, 3, 9, 17387, 12, 160, 15480, 3, 6, 1891, 108, 969, 40, 3, 9, 6772, 11, 79, 3, 6412, 326, 16, 8, 6401, 2212, 298, 108, 969, 40, 8190, 21, 3, 9, 798, 12, 1605, 8, 15328, 3, 10454, 3, 5, 1, 430, 5536, 47, 1107, 3, 5, 1, 34, 47, 1480, 29976, 76, 1208, 11, 2141, 3412, 7, 141, 369, 12, 128, 52, 2244, 3, 5, 1, 19367, 492, 1390, 12, 1350, 12, 569, 364, 8, 416, 239, 81, 3, 9, 11113, 11, 428, 3, 9, 1466, 13, 160, 809, 12, 8, 3016, 3465, 2535, 3, 6, 108, 969, 40, 10719, 12, 2756, 8115, 12, 752, 1460, 322, 63, 91, 21, 112, 2115, 1733, 3, 5, 1, 255, 3, 31, 26, 1114, 12, 483, 91, 13, 160, 161, 4954, 12, 424, 72, 1965, 3, 6, 68, 255, 150, 1200, 141, 97, 3, 5, 1, 255, 228, 2112, 14118, 12, 8, 2050, 68, 255, 808, 160, 161, 5830, 11, 1114, 160, 625, 725, 11, 8, 1082, 12, 214, 24, 255, 410, 3, 5, 1, 2459, 3, 6, 255, 13205, 21, 161, 3, 6, 59, 16, 3, 9, 3237, 68, 168, 631, 24, 79, 2124, 255, 1891, 160, 613, 160, 1445, 3, 5, 1, 255, 47, 5119, 3, 9, 307, 3, 6, 11530, 9, 18, 16722, 7496, 76, 8170, 11028, 3, 6, 3, 9, 3116, 13, 1131, 9321, 7531, 10427, 3, 6, 3, 9, 307, 3, 7, 109, 15, 162, 26, 3, 6, 9695, 3, 6, 3, 208, 18, 14694, 15, 26, 3, 6, 1131, 3, 17, 18, 9486, 11, 3, 9, 1659, 6396, 295, 9, 3, 6, 3, 17, 8894, 3, 6, 11051, 8094, 3, 5, 1, 255, 141, 3, 9, 9205, 13, 4216, 4295, 10422, 38, 3, 9, 29787, 52, 300, 160, 17703, 11, 45, 34, 3, 6668, 3, 9, 422, 4294, 5025, 28, 8, 5103, 1448, 3, 2, 3065, 3, 31, 31, 2681, 769, 17, 120, 11, 768, 5195, 30, 34, 16, 14120, 13, 15839, 15, 26, 13467, 41, 48, 3, 6, 3, 9, 11479, 1876, 45, 160, 2039, 3, 61, 3, 5, 1, 11, 255, 141, 2437, 3, 6, 3, 26, 1468, 697, 3, 6, 42, 29, 342, 20783, 13, 22639, 17, 7, 11, 4294, 3, 26, 19160, 45, 160, 11581, 3, 5, 1, 160, 307, 3, 6, 2437, 1268, 3, 6668, 16, 3, 9, 8090, 81, 160, 15424, 3, 5, 1, 255, 163, 141, 97, 12, 3197, 3, 9, 6453, 190, 160, 1268, 11, 5974, 6257, 28, 3, 9, 20485, 13, 160, 293, 17236, 3, 30420, 28, 3, 2235, 9, 8888, 3, 6, 3, 3252, 157, 11, 3, 40, 23, 4664, 13, 8, 10645, 3, 5, 1, 255, 2225, 1460, 322, 63, 139, 8, 2004, 116, 3858, 29, 3, 6, 7225, 120, 3, 6, 649, 1054, 91, 8, 851, 1365, 3, 5, 1, 255, 141, 3, 9, 1712, 1365, 16, 8, 2007, 985, 13, 8, 5679, 3797, 1365, 24, 2237, 45, 8, 1228, 12, 8, 223, 2004, 213, 3858, 29, 6528, 12, 5168, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 70, 293, 837, 434, 372, 5, 37, 3719, 3785, 11, 21130, 7, 45, 8, 3545, 851, 828, 3725, 2237, 12, 8, 3409, 13, 3, 9, 372, 24, 133, 577, 16, 8, 312, 6739, 3460, 6, 8441, 2162, 30, 1660, 12370, 5337, 100, 7298, 263, 8, 3545, 8, 24651, 3, 17976, 372, 12, 13971, 293, 11, 4368, 3, 9, 837, 434, 1886, 5, 37, 7298, 92, 21095, 26, 28, 1028, 6065, 53, 8, 1767, 24405, 28, 837, 434, 596, 11358, 7914, 41, 19448, 12551, 4824, 896, 2834, 277, 201, 5330, 2127, 16, 8574, 621, 3719, 53, 2675, 21, 3, 9, 564, 13, 8, 372, 6, 8, 772, 3492, 3, 31954, 16, 4971, 13, 105, 2703, 189, 109, 6015, 6349, 7914, 153, 3610, 53, 8, 1767, 3, 18860, 257, 13, 8, 372, 16, 8, 778, 28985, 2646, 5, 15659, 109, 6015, 6349, 7914, 133, 582, 8, 105, 11502, 53, 1309, 153, 13, 1959, 606, 344, 3, 476, 4112, 4702, 11, 166, 372, 21, 8, 9511, 3545, 5, 37, 1886, 1553, 12, 240, 2346, 7539, 1798, 3545, 6165, 3763, 6, 23506, 29, 27575, 38, 8, 166, 819, 3763, 13, 8, 372, 31, 7, 892, 30, 1797, 14405, 5337, 461, 1882, 6180, 1230, 6, 27575, 263, 112, 166, 8097, 12, 8, 372, 16, 660, 5206, 6193, 6, 113, 47, 3, 9, 1959, 2421, 16, 8, 3545, 4702, 5, 1485, 9385, 41, 11505, 104, 9457, 61, 86, 4537, 13, 70, 22145, 774, 6, 6349, 7914, 1192, 3, 9, 17727, 28, 3, 9, 2711, 13, 837, 434, 13391, 41, 329, 447, 4397, 878, 120, 6, 7826, 26606, 6, 8166, 76, 71, 2917, 63, 32, 221, 201, 9511, 3545, 6488, 1432, 7, 41, 683, 32, 7, 107, 4701, 52, 32, 6, 1699, 12032, 1347, 1152, 7, 201, 11, 843, 1038, 1508, 41, 683, 9, 2687, 9572, 7, 6, 2487, 63, 27575, 137, 100, 372, 133, 36, 3, 6974, 3510, 57, 3545, 1508, 30, 710, 18, 1987, 4724, 16, 811, 12, 25990, 1508, 45, 3, 476, 4112, 4702, 5, 37, 372, 31, 7, 166, 774, 1509, 15937, 1, 3, 19059, 155, 11219, 5978, 26, 44, 8, 1230, 1150, 7666, 7, 16, 18373, 7, 16, 14465, 6, 1473, 6, 45, 1630, 104, 1458, 1660, 5337, 12772, 41, 1824, 3, 104, 4717, 6, 3, 16568, 3, 104, 150, 3946, 6, 16757, 3, 104, 774, 200, 61, 3137, 8799, 11, 1373, 984, 9149, 7, 9638, 44, 8, 1230, 1150, 7666, 7, 16, 18373, 7, 1150, 7666, 7, 16, 18373, 7, 3, 19059, 155, 11219, 44, 8, 1150, 7666, 7, 16, 18373, 7, 1, 2770, 1436, 3, 21031, 9, 19, 46, 2557, 24694, 11, 3, 9, 1144, 13, 8, 898, 189, 17357, 7, 40, 1528, 11993, 13, 31251, 22660, 13, 1547, 5, 451, 5475, 8, 272, 28469, 127, 6439, 4392, 13, 31251, 22660, 11, 19, 3, 9, 1144, 13, 8, 1138, 16547, 210, 9, 26, 23, 3450, 5, 8840, 280, 11, 1073, 2770, 1436, 3, 21031, 9, 47, 2170, 16, 272, 28469, 127, 3939, 6, 31251, 22660, 5, 451, 4532, 10199, 13, 4218, 1952, 45, 16256, 22713, 446, 63, 32, 17, 23, 115, 9 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 635, 307, 5, 6650, 6520, 3279, 756, 11, 666, 5, 11339, 7, 3, 31977, 13290, 15, 26, 5, 505, 12, 586, 711, 3, 12088, 8384, 13290, 7, 5, 20294, 607, 344, 1671, 12, 1186, 6, 271, 3022, 16, 3243, 6, 30, 1148, 11, 1268, 63, 13647, 965, 5, 37, 2728, 19, 3, 9, 13445, 6, 28, 386, 3, 11846, 15, 7, 5, 3899, 17986, 3, 6489, 7299, 33, 21623, 16, 1131, 15634, 63, 1584, 173, 5, 17700, 7, 10281, 45, 1515, 12, 1797, 5, 17700, 3, 1304, 14484, 19, 3468, 5, 3, 10084, 38, 1006, 38, 2391, 477, 21, 8523, 12, 504, 5, 2048, 7, 71, 9625, 11, 12917, 138, 2195, 5, 17881, 7, 1227, 9504, 2138, 9, 25969, 77, 5437, 7, 13, 2051, 7552, 7, 13, 2051, 955, 29, 9, 13974, 3124, 7542, 9, 13, 18838, 7542, 9, 13, 368, 1013, 10256, 5287, 9, 2650, 57, 31118, 193, 26615, 1, 100, 19, 3, 9, 570, 13, 2605, 30, 8, 13050, 12306, 13, 2216, 3920, 7, 11, 11523, 6, 3, 14504, 20688, 6402, 57, 5435, 5, 100, 570, 2579, 66, 10066, 21, 17858, 1334, 190, 2143, 106, 1334, 6, 8, 119, 11070, 164, 36, 435, 270, 5, 37, 13050, 12306, 13, 2216, 3920, 7, 11, 11523, 19, 46, 2314, 6437, 13, 3950, 6, 1471, 6, 5278, 6, 4820, 6, 11, 14126, 3, 10863, 13734, 13, 19368, 16, 8, 412, 5, 134, 5, 538, 13, 13050, 5, 506, 2605, 6, 84, 164, 36, 13, 1157, 6, 538, 6, 11, 415, 11978, 6, 33, 9943, 57, 8, 13050, 17885, 3527, 6, 365, 8, 5015, 13, 8, 13050, 28204, 5, 2146, 6683, 21, 11980, 16, 8, 13050, 12306, 963, 24, 8, 785, 19, 44, 709, 1283, 203, 625, 117, 19, 1968, 28, 984, 13, 538, 42, 415, 11978, 117, 19, 1968, 28, 8, 1342, 13, 7609, 13, 538, 42, 415, 11978, 117, 19, 6978, 13, 3, 9, 686, 6, 869, 6, 42, 1059, 13, 4648, 117, 42, 19, 1968, 28, 13050, 31, 7, 892, 42, 554, 10193, 10972, 5, 94, 398, 92, 10164, 9322, 13, 1128, 11, 1449, 11, 11770, 3, 9, 1829, 21, 8, 97, 11, 286, 13, 1449, 5, 37, 13050, 12306, 10065, 963, 2605, 24, 103, 59, 942, 8, 879, 6683, 21, 11980, 6, 224, 38, 2301, 42, 3, 60, 30816, 5278, 5, 506, 2605, 33, 1285, 116, 79, 43, 118, 6280, 120, 20069, 26, 12, 3, 9, 353, 1126, 12, 8, 926, 6, 4799, 1588, 8, 1449, 13, 8, 926, 1516, 740, 6, 42, 33, 13, 5916, 3172, 12, 8, 538, 5, 290, 33, 3241, 968, 4314, 2605, 11, 14126, 2616, 30, 8, 13050, 12306, 5, 1129, 175, 6, 3241, 3, 26937, 33, 92, 2616, 30, 8, 868, 12306, 13, 19923, 3399, 7, 41, 9142, 13201, 61, 11, 305, 33, 9943, 38, 868, 19923, 2216, 3920, 7, 41, 15743, 434, 137, 100, 570, 19, 743, 190, 8, 167, 1100, 13050, 17885, 3527, 11070, 6, 1694, 1515, 10670, 5832, 17858, 1334, 325, 1635, 1334, 30451, 1334, 16617, 1334, 5531, 1334, 10908, 15, 3009, 1334, 5586, 29, 1395, 1334, 2143, 106, 1334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 447, 3562, 41, 13986, 61, 11, 103, 509, 7, 9, 88, 226, 9, 35, 32, 447, 3562, 41, 308, 5478, 201, 11, 33, 2389, 243, 12, 43, 533, 1393, 116, 1285, 16, 3, 9, 8965, 3178, 6, 379, 224, 1951, 38, 3, 5503, 16462, 5, 3, 13283, 406, 5763, 6, 1692, 18, 9485, 2495, 33, 3136, 387, 2495, 24, 1111, 16, 2061, 885, 12, 8, 1774, 13, 8, 387, 6, 43, 1148, 3, 10673, 52, 6546, 4264, 11, 33, 4352, 731, 30, 8, 542, 3741, 78, 3305, 30, 515, 157, 17, 106, 6, 672, 5, 2940, 3179, 6, 38, 19, 7972, 57, 70, 564, 6, 19, 3, 9, 2164, 1692, 103, 52, 7, 138, 28, 3, 9, 2111, 872, 365, 17719, 5, 9006, 6, 1692, 18, 6779, 33, 2389, 5163, 422, 16, 812, 11, 4682, 16, 508, 16274, 3, 5490, 16, 731, 512, 594, 6, 78, 33, 816, 13, 38, 3294, 18, 8809, 2495, 21, 879, 5962, 11, 33, 18908, 45, 2186, 6, 11355, 2495, 4682, 16, 2755, 16274, 6, 237, 3, 99, 79, 698, 119, 10596, 5, 19119, 2419, 18, 9485, 2495, 560, 10, 4779, 413, 15, 23, 2032, 15, 7, 10, 8, 455, 13, 3, 2866, 18, 89, 14029, 26, 2495, 24, 963, 4779, 413, 15, 23, 26, 9, 15, 41, 532, 160, 1007, 384, 61, 11, 19650, 4565, 8130, 9, 15, 41, 532, 46, 3995, 208, 63, 384, 61, 5622, 106, 23, 2032, 15, 7, 10, 8, 455, 13, 3, 2866, 18, 89, 14029, 26, 2495, 24, 963, 12399, 362, 189, 63, 23, 26, 9, 15, 41, 4920, 6779, 11, 3, 2726, 5667, 7, 3670, 5622, 106, 23, 26, 9, 15, 41, 29, 6958, 109, 6779, 3670, 1881, 32, 509, 15, 17, 23, 26, 9, 15, 41, 89, 120, 53, 6779, 15, 7, 3670, 216, 5884, 4624, 11740, 9, 15, 41, 17114, 346, 1639, 7, 61, 10, 11, 8, 180, 287, 1152, 15, 5444, 26, 9, 15, 41, 7348, 2593, 137, 1915, 75, 23, 2032, 15, 7, 10, 8, 399, 524, 18, 2376, 455, 13, 3, 2866, 18, 89, 14029, 1, 377, 107, 2408, 29, 3, 29, 18583, 6545, 122, 18, 5231, 189, 32, 189, 19, 8, 163, 8698, 2306, 263, 57, 8, 12195, 103, 32, 51, 11200, 7, 37, 52, 839, 189, 106, 5, 94, 5330, 47, 1883, 16, 1671, 9957, 5, 94, 47, 3, 60, 13159, 26, 16, 9047, 57, 5342, 22939, 7, 11547, 11, 16, 5247, 57, 6628, 5407, 11547, 5, 37, 8698, 47, 3, 60, 13159, 26, 541, 57, 6628, 5407, 16, 1480, 3105, 42, 778, 15066, 100, 8698, 47, 1883, 30, 22283, 16, 3581, 57, 19043, 23, 9, 75, 11547, 6, 28, 126, 7924, 11, 3, 9, 4023, 1463, 3, 10920, 96, 308, 9, 4733, 16, 8, 2977, 51, 13, 25186, 7, 121, 45, 46, 73, 21019, 26, 24691, 5, 37, 797, 12195, 103, 32, 51, 1928, 262, 1621, 2217, 240, 70, 564, 45, 8, 511, 1463, 13, 48, 8698, 5, 8799, 6437, 96, 427, 3335, 138, 121, 3, 104, 489, 10, 5553, 96, 427, 1621, 2217, 121, 3, 104, 489, 10, 2658 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 162, 354, 8580, 7963, 157, 173, 221, 5, 37, 826, 215, 3, 88, 4114, 44, 8, 337, 1115, 28, 112, 2039, 6, 112, 2749, 4806, 1491, 26, 173, 11, 3, 9, 629, 10477, 5, 37, 2039, 141, 59, 3, 60, 1635, 9889, 11, 1279, 38, 3, 9, 5435, 9336, 52, 5, 282, 3, 9, 4192, 6, 2415, 343, 122, 9, 986, 6292, 91, 13, 306, 18, 6646, 11, 3, 21043, 190, 1740, 30, 2418, 11, 12679, 5, 86, 1919, 6, 3, 88, 1736, 8, 192, 215, 5868, 20990, 30298, 113, 47, 92, 45, 27591, 11, 79, 3666, 12, 18001, 5, 461, 997, 1600, 25745, 3, 88, 11, 20990, 4464, 16, 27591, 896, 2501, 6, 298, 3, 19801, 309, 2, 29, 687, 413, 162, 354, 1914, 4480, 40, 2, 7, 15, 6, 3, 88, 38, 46, 768, 10543, 255, 38, 3, 9, 15852, 5, 328, 2946, 3, 9, 422, 1814, 13, 768, 930, 16, 27591, 6, 84, 877, 91, 13, 268, 16, 15830, 5, 86, 21930, 3, 88, 11, 112, 2512, 141, 3366, 3, 9, 951, 38, 22770, 7, 44, 8, 1115, 71, 9, 115, 35, 52, 9, 9, 10372, 27591, 5, 30318, 3, 2092, 8, 13792, 13, 18001, 6, 2415, 343, 122, 9, 986, 47, 2895, 12, 96, 566, 354, 26570, 6849, 35, 121, 41, 532, 234, 851, 61, 3, 32, 122, 3608, 14111, 5408, 21, 4068, 3, 88, 47, 3, 9, 574, 568, 11, 27961, 5, 216, 3, 7, 3422, 1054, 21, 126, 799, 15946, 1471, 6, 2139, 435, 8, 1, 837, 4902, 13171, 25633, 47, 3, 9, 3, 7, 3995, 106, 49, 8520, 21, 313, 28, 8, 907, 1323, 19764, 7899, 5, 451, 47, 72, 5871, 801, 38, 837, 4902, 25633, 5, 25633, 2098, 28, 8, 412, 5, 134, 5, 6788, 11, 412, 5, 134, 5, 10662, 16, 11511, 13818, 383, 8, 11511, 104, 8778, 1602, 11, 47, 3, 30868, 21, 160, 2874, 383, 8, 10456, 9, 3523, 2473, 9501, 7, 57, 3, 10205, 7512, 15, 9771, 205, 5, 18786, 6, 412, 5, 134, 5, 10662, 5, 621, 8, 615, 6, 255, 47, 10250, 12, 8, 412, 5, 134, 5, 5458, 11418, 21, 3, 9, 710, 97, 38, 837, 4778, 13171, 25633, 274, 271, 3666, 12, 8, 19764, 7899, 21, 313, 383, 8, 507, 1752, 7, 11, 8, 797, 7707, 1602, 5, 8663, 11, 5473, 53, 37, 20634, 25633, 47, 1192, 16, 2386, 6, 309, 5, 254, 5, 44, 3, 9, 583, 13, 6180, 3940, 29045, 755, 57, 4599, 262, 9, 7, 969, 28, 1449, 47, 3, 23313, 57, 12202, 7780, 9027, 6, 19764, 7899, 5, 9027, 8743, 2468, 10733, 25633, 45, 1902, 1186, 507, 4165, 12, 507, 1186, 507, 4906, 5, 25633, 47, 3, 9, 420, 7, 9, 173, 3, 7, 3995, 106, 49, 13, 7450, 8658, 18, 7, 88, 9, 532, 26, 1679, 18, 22699, 1449, 28, 150, 13226, 30, 1476, 6, 47, 307, 11, 141, 3, 9, 27780, 13, 3, 24090, 8760, 5, 451, 47, 876, 12, 13321, 1653, 7, 3786, 11, 12, 2094, 8769, 52, 7, 16, 19285, 5, 25633, 47, 2650, 21, 13171, 276, 5 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 731, 3, 6, 2093, 8719, 3, 5, 1, 255, 206, 26, 5402, 44, 112, 4553, 28, 160, 2418, 3, 6, 11, 3, 88, 752, 2448, 26565, 323, 139, 8, 16906, 1978, 9866, 14898, 160, 3, 5, 1, 352, 223, 30, 112, 23630, 7, 3, 6, 3, 88, 752, 8, 387, 3827, 15, 112, 522, 3, 5, 1, 79, 3, 7, 210, 265, 91, 544, 3, 6, 28, 307, 19743, 9529, 7, 3, 6, 190, 7569, 9866, 3, 6, 213, 70, 1922, 341, 7346, 15, 26, 8, 2007, 3, 6, 552, 34, 47, 78, 1659, 2031, 24, 79, 228, 1518, 28, 8, 387, 95, 12, 70, 15424, 3, 5, 1, 8, 872, 146, 1496, 323, 8, 2608, 3, 3537, 9, 2726, 114, 2983, 16, 8, 8114, 2242, 3, 6, 11, 8, 10382, 4113, 13, 8, 2186, 5694, 7390, 9434, 26, 1835, 120, 11, 11237, 120, 12759, 8, 1001, 2213, 18, 13827, 5796, 3, 5, 1, 3, 88, 18233, 5402, 7358, 152, 3, 6, 1829, 160, 62, 17, 3, 9577, 7, 16645, 581, 376, 3, 5, 1, 8, 296, 3776, 16889, 4586, 3, 18, 424, 18534, 16, 165, 3, 5108, 3, 15, 9, 7, 6096, 3, 6, 165, 8605, 13, 66, 13121, 42, 11955, 655, 42, 12710, 7, 1286, 8, 1254, 7, 42, 8, 15634, 3, 5, 1, 3, 31, 8048, 19, 21691, 3, 6, 3, 31, 255, 243, 3, 5, 1, 3, 31, 155, 310, 19, 3, 5, 1, 8581, 3, 6, 2278, 9, 15, 40, 3, 6, 149, 228, 25, 664, 1175, 3, 58, 3, 31, 1, 255, 8238, 45, 376, 3, 6, 59, 2794, 21, 46, 1525, 3, 6, 11, 3, 7, 210, 265, 28, 18642, 1101, 9529, 7, 1587, 8, 3, 12158, 3, 5, 1, 3, 88, 3, 7361, 213, 3, 88, 47, 3, 6, 112, 2053, 18269, 8, 9922, 7, 3, 6, 8915, 91, 8, 248, 30872, 13, 5322, 106, 28, 165, 6782, 13, 21863, 7, 3, 5, 1, 3, 99, 3, 88, 141, 664, 118, 48, 1095, 274, 16, 112, 280, 3, 6, 3, 88, 228, 3, 29, 31, 17, 1423, 34, 3, 5, 1, 3, 88, 2997, 228, 3, 29, 31, 17, 3, 5, 1, 150, 80, 141, 664, 990, 16, 376, 8, 8800, 24, 255, 410, 3, 5, 1, 1327, 664, 990, 16, 376, 8, 8800, 13, 48, 798, 3, 18, 48, 1434, 655, 11, 2790, 11, 2039, 120, 14826, 3, 5, 1, 4273, 3, 6, 223, 213, 3, 23, 13000, 3, 6, 11, 3, 23, 43, 160, 28, 140, 3, 6, 11, 3, 23, 103, 3, 29, 31, 17, 124, 81, 66, 8, 880, 3, 5, 1, 59, 230, 3, 233, 3, 88, 816, 3, 5, 1, 3, 7, 6010, 1135, 79, 1869, 479, 44, 8, 347, 785, 3, 5, 1, 231, 13, 8, 2608, 18, 6849, 45, 3, 89, 17, 8036, 7377, 12, 2805, 1583, 47, 1026, 95, 57, 8, 508, 4631, 7, 11, 306, 18, 7854, 28354, 7, 3, 5, 1, 8, 928, 4790, 130, 360, 11, 44, 3, 9, 248, 594, 3, 5, 1, 44, 81, 386, 3, 32, 31, 17407, 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 ]
[ 3, 7, 210, 425, 12, 2774, 9, 3, 5, 1, 3, 2, 33, 25, 3, 1927, 1765, 3, 58, 3, 31, 31, 1, 3, 2, 150, 3, 233, 1, 3, 23, 3, 31, 51, 352, 223, 3, 5, 3, 31, 31, 1, 975, 29, 127, 474, 112, 609, 30, 2774, 9, 3, 31, 7, 8173, 3, 5, 1, 255, 3, 7, 40, 4607, 15, 26, 34, 326, 3, 5, 1, 3, 2, 3, 23, 212, 3, 29, 31, 17, 103, 48, 2238, 3, 5, 3, 31, 31, 1, 3, 2, 25, 3, 31, 162, 612, 1134, 168, 406, 140, 3, 5, 3, 31, 31, 1, 2774, 9, 10964, 1054, 5074, 550, 45, 975, 29, 127, 3, 5, 1, 3, 2, 2774, 9, 1749, 3, 233, 54, 62, 129, 3, 9, 2232, 12, 3, 729, 29, 9, 26, 63, 3, 58, 3, 31, 31, 1, 975, 29, 127, 1860, 3, 5, 1, 2774, 9, 2120, 300, 28, 12795, 16, 160, 2053, 3, 5, 1, 3, 2, 8, 31111, 44, 8, 1595, 56, 129, 376, 80, 3, 233, 1, 572, 3, 58, 3, 31, 31, 1, 3, 2, 3, 23, 174, 12, 22103, 21, 59, 1107, 3, 5, 3, 31, 31, 1, 975, 29, 127, 243, 1835, 120, 3, 5, 1, 2774, 9, 3993, 26, 11, 258, 2120, 160, 819, 38, 255, 1943, 3, 9, 2095, 108, 1536, 3, 5, 1, 975, 29, 127, 2120, 12, 217, 2876, 63, 3, 31, 7, 4879, 4418, 16, 8, 2095, 443, 11, 1262, 550, 3, 5, 1, 3, 88, 2299, 44, 2774, 9, 3, 6, 112, 522, 3609, 223, 3, 9, 1450, 3993, 3, 5, 1, 255, 3, 7, 20978, 160, 819, 3, 5, 1, 3, 2, 25, 3, 31, 26, 394, 23601, 95, 132, 3, 6, 250, 79, 3, 31, 195, 36, 223, 1116, 3, 5, 3, 31, 31, 1, 975, 29, 127, 10772, 19303, 26, 2774, 9, 3, 31, 7, 522, 11, 17387, 15, 26, 160, 3, 5, 1, 38, 975, 29, 127, 6756, 550, 3, 88, 1509, 2774, 9, 3, 31, 7, 3168, 2053, 11, 1835, 7524, 1551, 341, 3, 5, 1, 3, 88, 1114, 12, 17387, 160, 541, 3, 6, 68, 2124, 3, 88, 906, 12, 23601, 3, 5, 1, 3, 88, 1964, 26, 640, 8, 2815, 11, 808, 8, 12295, 12, 4579, 192, 5733, 192, 38, 3, 729, 29, 9, 26, 63, 141, 24088, 3, 5, 1, 3, 88, 3, 6287, 8, 1365, 7708, 11, 46, 625, 2335, 2946, 8, 1365, 11, 8876, 26, 44, 975, 29, 127, 38, 3, 99, 255, 47, 479, 44, 3, 9, 13909, 3, 5, 1, 975, 29, 127, 1971, 12, 1423, 125, 3, 729, 29, 9, 26, 63, 141, 243, 12, 497, 3, 5, 1, 227, 633, 3, 9033, 7, 3, 88, 2031, 2946, 112, 4247, 3, 5, 1, 3, 2, 150, 32, 172, 8607, 3, 1825, 29, 9, 3, 58, 3, 31, 31, 1, 8, 625, 2335, 5374, 376, 1096, 3, 5, 1, 255, 808, 376, 12, 8, 2752, 13, 160, 80, 562, 4579, 11, 6756, 147, 3, 9, 22429, 3, 5, 1, 255, 8744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 493, 172, 29, 32, 41, 61, 19, 3, 9, 512, 1511, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 16, 8, 2808, 1491, 6015, 23, 152, 6163, 13, 8, 16870, 5750, 5, 94, 65, 81, 11668, 21155, 5, 5528, 37, 166, 1545, 2652, 13, 493, 172, 29, 32, 19, 45, 335, 4060, 5, 461, 850, 1332, 2628, 8, 27597, 13216, 8, 2637, 13, 8, 512, 1511, 5, 7557, 17881, 7, 3611, 11228, 16, 8, 16870, 5750, 5777, 83, 920, 1747, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 1, 272, 2, 40, 2975, 454, 40, 2, 29, 9, 19, 3, 9, 3309, 11, 27597, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 16, 8, 2808, 1491, 6015, 23, 152, 6163, 13, 8, 16870, 5750, 5, 17881, 7, 100, 1108, 47, 7513, 15459, 45, 8, 16870, 16885, 5, 7305, 7, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 1, 272, 2, 17681, 32, 208, 19, 3, 9, 27597, 11, 3309, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 16, 8, 2808, 1491, 6015, 23, 152, 6163, 13, 8, 16870, 5750, 5, 94, 65, 81, 4837, 21155, 5, 25290, 1467, 7305, 7, 13, 10729, 15, 2, 867, 11, 531, 40, 12916, 3781, 33, 6601, 294, 13, 584, 40, 1258, 900, 5, 933, 179, 151, 15055, 929, 9749, 157, 2863, 2294, 104, 19479, 11728, 6, 16870, 18, 31971, 29, 2377, 7557, 17881, 7, 7305, 7, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 1, 6672, 598, 17353, 2815, 16, 4318, 5, 3, 6, 3, 9, 3, 22412, 5727, 104, 12425, 2815, 16, 216, 23, 152, 18, 3781, 2, 6, 915, 18, 1135, 31329, 6, 3411, 4804, 1436, 354, 2, 5939, 6, 3, 9, 2412, 2478, 30, 8, 2566, 23, 2618, 5140, 4919, 16, 2018, 122, 17155, 22990, 18, 2729, 6, 31329, 3, 6, 3, 9, 4318, 3, 2729, 397, 384, 20, 28394, 45, 8, 1, 7254, 15, 2, 19, 3, 9, 3309, 11, 27597, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 16, 8, 2808, 1491, 6015, 23, 152, 6163, 13, 8, 16870, 5750, 5, 17881, 7, 7305, 7, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 1, 1491, 7, 15, 2, 19, 3, 9, 27597, 11, 3309, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 16, 8, 2808, 1491, 6015, 23, 152, 6163, 13, 8, 16870, 5750, 5, 94, 65, 81, 2899, 21155, 5, 25290, 1467, 7305, 7, 11, 3, 1483, 7677, 13, 4159, 2, 7, 157, 2, 6, 1027, 2975, 4987, 24623, 11, 1027, 2975, 7, 9, 26, 1258, 33, 6601, 1467, 13, 1491, 7, 15, 2, 5, 17881, 7, 7305, 7, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 1, 12678, 109, 75, 19, 3, 9, 27597, 11, 3309, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 16, 8, 2808, 1491, 6015, 23, 152, 6163, 13, 8, 16870, 5750, 5, 94, 65, 3, 9, 2074, 13, 81, 1914, 5548, 5, 17881, 7, 7305, 7, 16, 283, 521, 26, 2975, 8166, 15, 17457, 3570, 1, 26094, 18965, 1931, 287, 446, 4112, 41 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 664, 352, 12, 217, 8, 1997, 23215, 30, 3, 9, 2667, 1466, 13, 1591, 541, 3, 5, 3, 31, 31, 1, 25, 3, 31, 60, 1786, 81, 24, 3, 6, 3, 3491, 232, 1971, 12, 8776, 3, 6, 11, 72, 16, 24, 13290, 3, 6, 38, 168, 3, 6, 68, 1327, 764, 91, 3, 5, 1, 3, 88, 3, 7, 10990, 300, 12, 8, 1001, 596, 13, 8, 8114, 3, 6, 5489, 66, 112, 1234, 16, 8, 3, 12186, 3, 88, 435, 132, 3, 5, 1, 780, 3, 88, 470, 882, 1513, 4349, 13, 2448, 3, 5, 1, 2361, 8, 6742, 13, 3, 2, 4404, 3, 31, 31, 16, 4806, 576, 1169, 29, 9, 3, 31, 7, 5759, 141, 118, 14621, 11338, 3, 6, 42, 2361, 34, 47, 131, 24, 79, 141, 470, 141, 3, 9, 13731, 14043, 12, 161, 70, 1817, 20053, 30, 3, 6, 11, 410, 59, 214, 79, 141, 80, 230, 3, 5, 1, 3578, 3, 6, 13, 503, 3, 6, 21, 4806, 528, 29, 29, 9, 18, 7, 88, 2124, 3, 5, 1, 44, 128, 500, 16, 8, 706, 3, 6, 23874, 53, 3, 6, 3, 122, 23, 20227, 13256, 11, 14292, 3, 9737, 53, 12815, 7, 1940, 376, 223, 45, 8, 14882, 213, 3, 88, 141, 118, 6894, 53, 3, 6, 59, 882, 17915, 42, 25429, 3, 5, 1, 300, 376, 3, 6, 78, 3917, 3, 88, 230, 11289, 1943, 34, 3, 6, 130, 8, 8782, 3, 2, 6659, 3, 31, 31, 3, 5, 1, 3, 3491, 232, 2946, 112, 2053, 3, 5, 1, 3, 88, 1509, 12674, 11, 3, 524, 6833, 659, 10410, 16, 8, 1001, 799, 3, 5, 1, 8, 10754, 3537, 7, 11, 23874, 7, 130, 4645, 3, 5, 1, 3, 3491, 232, 1971, 12, 919, 112, 819, 11, 44, 166, 228, 3, 29, 31, 17, 3, 5, 1, 3, 88, 5701, 26, 3, 6, 3, 9094, 112, 56, 139, 3, 9, 614, 1692, 1996, 3, 6, 11, 1971, 541, 3, 5, 1, 48, 97, 112, 819, 410, 919, 3, 5, 1, 163, 3, 9, 385, 3, 6, 68, 3, 9, 385, 47, 631, 3, 5, 1, 34, 47, 874, 13, 8, 385, 14033, 18, 51, 1208, 3, 6, 16585, 159, 15, 3, 6, 3, 17, 265, 52, 9, 3, 6, 576, 1169, 29, 9, 3, 6, 2278, 15, 521, 3, 5, 1, 79, 764, 95, 8, 307, 23597, 13, 8, 1001, 16, 7001, 1208, 3, 6, 20692, 544, 114, 502, 91, 30, 3, 9, 3, 102, 6254, 3, 6, 6771, 307, 5011, 277, 16, 4294, 14733, 3, 6, 8, 12815, 7, 3, 9424, 8, 29339, 18, 3348, 7, 13, 70, 11064, 9208, 7, 3, 9737, 53, 385, 4294, 3154, 13, 1345, 3, 5, 1, 79, 3, 9094, 81, 8, 1953, 13, 8, 4595, 221, 26, 388, 3, 5, 1, 45, 441, 70, 8196, 3, 6, 14788, 122, 3216, 4659, 16, 3, 9, 27536, 63, 6710, 24, 3977, 274, 34, 530, 22653, 12, 8, 11021, 35, 5020, 3, 5, 1, 4806, 3157, 63, 5468, 16964, 3, 5, 1, 3, 3491, 232, 4771, 160, 2249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31, 31, 1, 3, 2, 3, 63, 15, 102, 3, 5, 3, 31, 31, 1, 3, 88, 3, 7, 29, 127, 1054, 1835, 120, 3, 5, 1, 3, 2, 1237, 3, 5, 1, 79, 43, 80, 3356, 21, 6917, 11, 430, 21, 921, 1307, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 3, 31, 51, 3, 18765, 79, 103, 3, 29, 31, 17, 241, 8, 296, 147, 4312, 28, 3, 29219, 3, 5, 3, 31, 31, 1, 3, 2, 34, 3, 31, 7, 147, 4312, 28, 6917, 3, 6, 11, 79, 1137, 72, 17227, 1783, 145, 8, 880, 13, 178, 664, 228, 3, 5, 3, 31, 31, 1, 3, 2, 24, 3, 31, 7, 59, 3, 9, 1245, 194, 12, 1350, 81, 39, 542, 1391, 3, 5, 3, 31, 31, 1, 3, 88, 6660, 13534, 5402, 11, 646, 34, 44, 24, 3, 5, 1, 8617, 3, 6, 12, 497, 8, 709, 3, 5, 1, 2076, 1135, 3725, 3, 10671, 300, 3, 6, 11, 3, 23, 3, 23626, 8, 12295, 12, 8, 1228, 30, 769, 4563, 192, 12, 691, 91, 8, 5418, 3, 18, 84, 130, 3, 4894, 1717, 3, 6, 11, 59, 8, 13353, 1196, 3, 18, 21, 8, 4879, 7137, 3, 5, 1, 728, 34, 47, 66, 30, 1976, 3, 6, 3, 23, 3, 1579, 127, 1054, 8, 31682, 12, 8, 19967, 258, 323, 12, 8, 4509, 593, 8, 3377, 3, 7, 21464, 539, 11, 14882, 3, 24528, 26, 140, 3, 5, 1, 3, 23, 3, 7, 15295, 365, 82, 6522, 3, 5, 1, 8, 3905, 17, 986, 7, 130, 1556, 1031, 541, 3, 5, 1, 11, 298, 14882, 410, 3, 29, 31, 17, 3516, 140, 3, 6, 8, 685, 24, 132, 130, 147, 6786, 26946, 7, 16, 24, 562, 3, 6, 66, 13, 4068, 228, 582, 8552, 7, 16, 8, 706, 3, 6, 263, 140, 615, 63, 3, 5, 1, 3, 23, 228, 3, 29, 31, 17, 1605, 135, 66, 3, 6, 237, 28, 82, 26946, 2267, 3, 6, 11, 8, 1034, 5511, 7, 410, 3, 29, 31, 17, 161, 396, 168, 16, 14882, 3, 2, 3, 99, 25, 7683, 3383, 7, 103, 3, 29, 31, 17, 919, 30, 8, 4113, 3, 6, 25, 54, 281, 13802, 3, 5, 3, 31, 31, 1, 8, 4113, 764, 223, 30, 11, 3, 20038, 3276, 3, 31, 7, 13573, 40, 607, 13593, 15, 26, 2957, 140, 3, 5, 1, 3, 2, 7403, 13, 8, 2164, 3, 6, 33, 62, 3, 58, 3, 31, 31, 1, 3, 23, 3, 7, 29, 127, 1054, 11, 3, 8918, 8, 2218, 30, 8, 31682, 3, 5, 1, 28, 46, 3031, 3, 3844, 152, 3, 6, 34, 3, 10671, 1039, 11, 263, 165, 194, 2957, 8, 2851, 562, 3, 5, 1, 3, 2, 572, 103, 3, 29, 31, 17, 25, 281, 43, 3, 9, 2898, 3, 6, 3, 20038, 3276, 3, 58, 1, 25, 5949, 114, 3, 7, 10536, 3, 5, 3, 31, 31, 1, 3, 88, 3993, 26, 3, 6, 3, 20508, 1717, 7, 10733, 3841, 3, 5, 1, 3, 88, 3, 31, 26, 13126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 54, 62, 942, 95, 541, 3, 58, 1, 16585, 159, 15, 1380, 3, 5, 1, 4273, 3, 6, 13, 503, 62, 54, 3, 6, 3, 89, 9, 63, 15, 243, 3, 5, 1, 79, 54, 103, 78, 231, 175, 477, 3, 6, 38, 307, 38, 3, 88, 5168, 7, 30, 320, 3, 6, 132, 47, 424, 1307, 3, 5, 1, 54, 3, 23, 817, 25, 125, 3, 23, 435, 91, 4981, 3, 58, 1, 16585, 159, 15, 1380, 3, 5, 1, 256, 3140, 8, 5714, 16, 3, 9, 1962, 3, 5, 1, 62, 162, 131, 81, 2369, 270, 3, 5, 1, 3, 23, 26, 114, 12, 43, 3, 9, 3582, 274, 3, 23, 281, 223, 12, 8, 2095, 2478, 3, 5, 1, 417, 3, 5, 1, 149, 81, 8, 6913, 16, 8, 2004, 2050, 30, 8, 18006, 1483, 1373, 3, 58, 1, 25, 195, 36, 5792, 132, 30, 8, 194, 223, 3, 6, 751, 17, 25, 3, 58, 1, 4273, 3, 6, 24, 1399, 3, 5, 1, 81, 6786, 676, 3, 6, 8957, 3, 58, 1, 1399, 3, 6, 2049, 3, 6, 16585, 159, 15, 3, 5, 1, 34, 133, 36, 248, 3, 99, 62, 228, 1350, 10065, 3, 5, 1, 3, 23, 310, 317, 25, 33, 8, 163, 568, 16, 8, 1297, 1281, 358, 113, 124, 7, 823, 3, 15294, 23, 152, 19, 310, 10945, 59, 3, 5, 1, 921, 1307, 131, 2746, 3, 9, 13929, 3, 5, 1, 8957, 3, 5, 1, 217, 25, 1116, 258, 3, 5, 1, 3, 89, 9, 63, 15, 1224, 951, 26, 160, 2039, 12, 987, 160, 12, 103, 8, 496, 1432, 95, 3, 6, 11, 255, 356, 326, 12, 8, 356, 326, 21, 2004, 2050, 3, 5, 1, 15315, 778, 3, 6, 255, 2944, 6257, 3, 9, 1975, 11, 3, 7, 144, 2794, 21, 16585, 159, 15, 11, 3, 4115, 697, 147, 70, 336, 3634, 3, 5, 1, 255, 14206, 12, 951, 82, 965, 12, 987, 376, 84, 1733, 277, 6178, 3, 88, 141, 1622, 70, 625, 443, 3, 5, 1, 16585, 159, 15, 4363, 12, 253, 3, 89, 9, 63, 15, 641, 16, 8, 6913, 3, 6, 3823, 44, 3, 9, 953, 16, 8, 2752, 3, 6, 168, 550, 45, 136, 119, 722, 3, 5, 1, 1704, 669, 49, 3, 6, 255, 816, 3, 6, 11, 877, 147, 12, 2561, 323, 6401, 160, 3, 5, 1, 2049, 21, 1107, 3, 6, 255, 243, 3, 5, 1, 3, 15294, 23, 152, 19, 341, 7267, 3, 5, 1, 8, 336, 3, 23, 1943, 3, 6, 3, 88, 47, 341, 271, 7747, 30, 3, 5, 1, 3, 99, 3, 88, 7, 263, 34, 24, 623, 3, 6, 7927, 1077, 7905, 3, 6, 751, 17, 3, 88, 3, 58, 1, 4273, 3, 6, 68, 16, 125, 538, 3, 58, 1, 132, 398, 36, 3, 9, 1450, 1020, 24, 7927, 36, 2241, 6780, 3, 5, 1, 3, 23, 214, 3, 5, 1, 320, 3, 6, 132, 7, 424, 1307, 3, 23, 174, 12, 661, 657, 25, 3, 5, 1, 150, 17168, 3, 6, 281, 2177, 3, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 112, 3650, 2400, 3, 9, 1953, 11, 2299, 1751, 3, 5, 1, 8, 2470, 3, 6520, 7, 13, 8, 3, 13985, 130, 1187, 8, 1953, 3, 5, 1, 8, 1953, 1402, 983, 141, 125, 3, 88, 141, 118, 479, 21, 3, 6, 628, 12, 5168, 112, 6419, 13, 3, 6830, 107, 3, 5, 1, 578, 612, 24, 3, 88, 8669, 15, 26, 12, 6364, 112, 2182, 11, 8955, 16, 3, 5, 1, 761, 47, 614, 3, 6, 11, 2199, 1240, 226, 47, 38, 182, 1400, 3, 88, 47, 882, 7718, 116, 3, 88, 3666, 45, 3, 9, 3097, 7728, 2981, 10556, 3, 5, 1, 3, 88, 2994, 54, 32, 15, 53, 16, 8, 872, 13818, 13, 8, 415, 16912, 3, 6, 557, 7646, 78, 26, 537, 3, 5, 1, 8, 1687, 9116, 47, 3, 9, 4807, 18887, 45, 3, 9, 2195, 95, 3, 9, 4180, 3, 6, 640, 3, 9, 4033, 16, 3, 9, 1659, 10645, 3, 6, 323, 12, 3, 9, 2195, 1084, 8, 2856, 3, 5, 1, 1240, 226, 5591, 26, 34, 11, 373, 243, 3, 9, 7029, 116, 3, 88, 3, 7, 8130, 112, 609, 190, 3, 9, 6494, 16, 3, 9, 1466, 13, 4107, 3, 6, 3, 17, 13296, 34, 147, 8, 4807, 3, 6, 3, 7, 8130, 112, 119, 609, 16, 430, 6494, 11, 258, 3, 16287, 3, 5, 1, 3, 88, 133, 4781, 109, 190, 8, 799, 44, 248, 1634, 298, 10838, 12744, 619, 28957, 300, 25, 3, 5, 1, 3, 6830, 107, 47, 470, 623, 550, 45, 1240, 226, 7, 816, 38, 3, 88, 8079, 210, 190, 8, 799, 3, 5, 1, 662, 1274, 2804, 1224, 11, 921, 1800, 231, 1400, 449, 145, 30, 6870, 3, 5, 1, 16, 17912, 13, 8, 307, 761, 477, 1240, 226, 341, 435, 97, 12, 1431, 5487, 12, 112, 3, 6830, 107, 3, 6, 5487, 423, 13, 333, 3, 5, 1, 3, 6830, 107, 396, 3, 6, 2832, 557, 3, 6, 11, 160, 5487, 1219, 376, 149, 231, 255, 47, 3586, 376, 3, 5, 1, 8, 503, 47, 13, 1296, 1274, 8659, 3, 6, 11, 192, 1274, 13, 48, 47, 1869, 16, 8, 11787, 213, 79, 141, 12, 3223, 30, 125, 542, 79, 228, 253, 3, 5, 1, 79, 130, 1622, 91, 16, 14152, 11, 1240, 226, 47, 3755, 12, 36, 28, 112, 1021, 103, 52, 2244, 1565, 113, 47, 168, 18, 7583, 26, 16, 684, 3, 322, 15, 11, 78, 47, 168, 2718, 13, 959, 14566, 1162, 16, 8, 11787, 3, 5, 1, 34, 47, 3, 88, 113, 4682, 3, 9, 1057, 8429, 11, 3, 9, 18383, 16, 8, 166, 360, 716, 3, 5, 1, 3, 88, 2124, 213, 12, 320, 21, 36, 15, 17, 965, 11, 119, 19127, 84, 116, 19858, 228, 36, 20370, 15, 26, 12, 1899, 231, 906, 3619, 3, 5, 1, 79, 13928, 8, 192, 1274, 3, 5, 1, 321, 1076, 141, 1513, 3, 9, 360, 7051, 68, 130, 16, 1399, 1722, 2346, 11, 28, 70, 1969, 18, 17349, 8519, 3, 6, 2299, 3, 9, 1554, 13, 533, 3, 5, 1, 8, 761, 147 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2170, 13, 430, 2335, 3, 5, 1, 4244, 10810, 11, 3, 5402, 9, 33, 59, 82, 490, 3879, 1362, 3, 117, 79, 131, 3279, 140, 270, 3, 5, 1, 3, 88, 8876, 26, 326, 139, 8, 2357, 3, 5, 1, 82, 2039, 764, 45, 128, 4687, 1307, 3, 6, 11, 3, 23, 43, 373, 15999, 125, 34, 133, 36, 114, 12, 36, 28, 82, 490, 3879, 2039, 3, 6, 16, 24, 119, 286, 213, 255, 764, 45, 3, 6, 68, 3, 23, 54, 59, 3, 5, 1, 82, 490, 3879, 2039, 19, 3654, 3, 6, 11, 3, 23, 183, 646, 270, 3, 6, 2238, 16, 3, 9, 1254, 3, 5, 1, 3, 88, 410, 59, 214, 572, 3, 88, 25613, 15, 26, 48, 3, 5, 1, 48, 19, 82, 234, 3, 6, 8, 80, 286, 3, 23, 43, 664, 1892, 801, 3, 6, 11, 3, 23, 103, 59, 214, 125, 8, 880, 13, 8, 296, 19, 114, 3, 5, 1, 3, 23, 103, 59, 214, 213, 255, 764, 45, 3, 5, 1, 1911, 5561, 8876, 26, 44, 376, 3, 5, 1, 168, 3, 6, 255, 243, 3, 6, 3, 6319, 12, 320, 550, 45, 376, 3, 5, 1, 3, 23, 103, 59, 214, 125, 8, 829, 296, 19, 114, 3, 5, 1, 3, 23, 43, 118, 12, 163, 3, 9, 422, 4149, 13, 34, 1512, 3, 5, 1, 8, 9980, 47, 82, 234, 3, 6, 11, 8, 200, 286, 16, 82, 809, 3, 5, 1, 11955, 3, 6, 4273, 3, 6, 68, 80, 54, 253, 387, 3, 99, 80, 4054, 149, 12, 320, 3, 5, 1, 165, 59, 78, 1282, 132, 3, 99, 25, 214, 149, 12, 7905, 3, 5, 1, 3905, 1024, 8876, 26, 44, 160, 230, 3, 5, 1, 168, 3, 6, 3, 99, 25, 43, 118, 12, 224, 1747, 24, 143, 8, 9980, 12674, 16, 4993, 3, 6, 16, 1353, 13, 11955, 655, 3, 6, 258, 25, 43, 118, 190, 128, 8678, 648, 3, 6, 43, 29, 17, 25, 3, 58, 1, 3, 88, 1380, 3, 6, 6055, 21, 3, 9, 8719, 3, 5, 1, 72, 145, 25, 214, 3, 6, 3905, 1024, 3, 6, 72, 145, 25, 214, 3, 6, 255, 243, 3, 6, 20770, 20425, 120, 3, 5, 1, 168, 3, 6, 3, 23, 54, 504, 25, 300, 576, 15, 3, 12534, 9, 3, 99, 25, 241, 140, 12, 3, 5, 1, 576, 15, 3, 12534, 9, 19, 3, 9, 1245, 286, 3, 6, 3, 9, 9257, 286, 3, 5, 1, 3, 23, 317, 25, 195, 253, 576, 15, 3, 12534, 9, 12, 36, 80, 13, 8, 19511, 222, 1747, 30, 3596, 3, 5, 1, 3, 88, 3993, 26, 38, 255, 24524, 3, 5, 1, 34, 47, 207, 12, 1616, 160, 8719, 3, 6, 237, 3, 9, 385, 720, 3, 5, 1, 5800, 6786, 18, 782, 3, 10, 12891, 18279, 3, 23, 241, 12, 36, 28, 25, 6276, 3706, 3, 6, 11, 3, 23, 214, 24, 25, 11, 3, 23, 2483, 373, 217, 1580, 12, 1580, 3, 6, 68, 596, 57, 596, 3, 6, 62, 54, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3434, 5, 961, 5984, 9654, 8716, 19, 8382, 16, 8, 8282, 4588, 3920, 81, 5727, 13, 8, 4947, 344, 3, 30004, 63, 18, 188, 29, 5019, 11, 15877, 3, 30004, 63, 6, 84, 344, 18315, 11, 5541, 6, 47, 294, 13, 8, 4723, 2968, 4947, 6, 11, 81, 25044, 13, 19887, 210, 21591, 5, 37, 13012, 779, 7025, 16, 15877, 3, 30004, 63, 19, 22632, 53, 35, 44, 3, 9, 2357, 13, 81, 3, 5, 37, 3825, 18137, 19, 1848, 3375, 57, 7213, 8030, 9, 4477, 11, 23151, 4484, 7, 6, 84, 33, 3323, 1679, 15, 26, 5, 94, 47, 5147, 383, 8, 1138, 9, 109, 1726, 13, 8, 2214, 14164, 343, 32, 75, 35, 15, 5, 71, 1583, 45, 8, 3, 15, 102, 19140, 1162, 3309, 6, 8, 27597, 3, 6848, 13, 8, 826, 14126, 10, 891, 115, 23033, 6, 5581, 21477, 6, 9458, 35, 7, 35, 6, 309, 13198, 7, 15, 2235, 6, 4498, 15, 40, 107, 127, 7, 17, 6, 23687, 26, 26, 3573, 35, 6, 1546, 3225, 115, 1872, 26, 537, 6265, 17, 6, 1546, 3225, 3496, 5283, 6, 14482, 107, 858, 6, 1212, 107, 51, 1050, 6, 11019, 51, 1050, 6, 15661, 157, 13534, 6, 1276, 4695, 7, 35, 6, 1624, 5572, 402, 6, 11450, 221, 2235, 6, 11450, 221, 18546, 6, 3129, 26, 221, 1258, 189, 6, 11, 549, 1272, 195, 5567, 35, 6, 38, 168, 38, 8, 2755, 7025, 7, 242, 7, 189, 858, 20733, 6, 480, 3593, 2235, 6, 22087, 51, 1050, 6, 11, 1880, 6090, 35, 51, 9184, 15, 5, 3129, 26, 221, 1258, 189, 19, 1069, 2017, 5727, 13, 8, 1798, 4723, 2968, 4947, 5, 37, 3298, 19, 4352, 2192, 6, 28, 46, 1348, 3, 22286, 19742, 257, 13, 431, 2884, 3, 635, 6, 1364, 2620, 271, 3366, 16, 163, 12238, 13, 8, 1969, 6991, 13, 309, 17698, 5, 1266, 3389, 155, 257, 19, 8308, 5163, 18756, 147, 8, 215, 6, 28, 3, 9, 1750, 13, 3, 15062, 344, 8, 3, 19322, 222, 847, 41, 26579, 61, 11, 8, 3, 26, 2593, 17, 41, 28680, 61, 11, 1364, 10914, 271, 3366, 163, 16, 3, 5988, 13, 8, 309, 17698, 1969, 6991, 5, 5528, 9947, 18800, 447, 7808, 7, 1084, 9654, 8716, 6, 11019, 51, 1050, 6, 11, 11450, 221, 2235, 33, 2084, 13, 8, 616, 578, 641, 118, 3, 23606, 16, 8, 16147, 4826, 15, 32, 18800, 447, 3, 1498, 5, 9654, 8716, 47, 166, 2799, 16, 850, 9368, 37, 29592, 9541, 29, 3321, 588, 13, 8, 1660, 23, 15710, 11020, 7, 6, 5710, 16, 850, 4241, 57, 3476, 1347, 2434, 13, 1602, 102, 1050, 18, 434, 1272, 75, 4067, 6, 141, 3, 9, 779, 2860, 30, 8, 606, 13, 8, 3309, 5, 621, 8, 27060, 18490, 257, 11, 8, 24381, 2121, 13, 8, 29592, 16, 627, 5553, 6, 8, 3602, 13, 3, 9, 20, 2687, 29, 15, 13, 8, 538, 1, 309, 5588, 60, 19, 3, 9, 27597, 16, 8, 3939, 4588, 3920, 14096, 19887, 210, 21591, 6, 16, 3, 30004, 63, 18, 188, 29, 5019, 6, 3434, 5, 71, 1375 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 11374, 7, 377, 5, 254, 5, 130, 10126, 8, 6336, 7, 6, 21, 8, 166, 97, 16, 70, 892, 5, 328, 130, 787, 8, 5533, 31, 7, 6894, 12, 8, 6503, 104, 2658, 3, 5078, 4795, 15132, 3815, 5, 37, 368, 2788, 7, 11, 4011, 9, 4463, 2369, 204, 727, 11, 220, 52, 26, 6898, 6, 12127, 8, 5533, 31, 7, 192, 1747, 16, 8, 6503, 104, 2658, 3, 5078, 4795, 5578, 3815, 166, 18002, 1751, 5, 37, 1360, 104, 1755, 22982, 3802, 47, 442, 5041, 15, 26, 11, 228, 59, 36, 2012, 57, 8, 3, 5078, 4795, 7183, 13, 7084, 1611, 15513, 5, 4063, 8, 314, 189, 2681, 2369, 372, 6, 18931, 4463, 6, 4964, 8, 17413, 1751, 2140, 24, 133, 43, 4929, 2767, 12, 8, 8969, 13, 8, 1611, 577, 18, 1647, 7, 84, 133, 230, 59, 240, 286, 5, 37, 2007, 192, 2323, 44, 8, 833, 13, 9756, 130, 3, 60, 8791, 26, 5, 16651, 30907, 2323, 5978, 26, 16, 8, 5533, 3, 104, 8, 420, 3, 324, 2323, 45, 8, 1767, 774, 6, 11, 80, 372, 284, 14742, 45, 8, 6400, 51, 52, 76, 1117, 11, 6400, 51, 52, 76, 1013, 5, 37, 192, 2007, 2681, 2323, 45, 8, 846, 18, 8584, 774, 6, 301, 1618, 1259, 26, 29, 32, 6, 11, 301, 1618, 7999, 4463, 6, 130, 3, 60, 8791, 26, 12, 6400, 51, 52, 76, 1117, 11, 6400, 51, 52, 76, 1013, 6, 6898, 6, 21, 8, 1360, 104, 1755, 774, 5, 1761, 3465, 1270, 272, 13245, 17, 106, 6, 6336, 7, 13, 8, 230, 20, 25322, 17, 6400, 51, 52, 76, 11529, 11, 4511, 63, 5407, 17, 6, 6336, 7, 13, 8, 22982, 10929, 3815, 6022, 555, 130, 14742, 12, 8, 6400, 51, 52, 76, 6552, 5, 1761, 3465, 1270, 272, 13245, 17, 106, 3666, 12, 8, 6400, 1, 19759, 96, 567, 23, 1071, 121, 28855, 41, 7473, 944, 1186, 15465, 6, 3, 61, 19, 3, 9, 8880, 29, 2291, 11, 23661, 3122, 38, 3271, 13, 11957, 12078, 11, 1611, 16955, 13, 8880, 16, 8, 5440, 76, 9104, 45, 1515, 12, 1671, 4144, 3, 12282, 11, 227, 112, 4141, 6, 3, 88, 47, 8, 2578, 13, 8, 13129, 52, 1740, 2486, 13, 8, 1611, 2063, 30, 11957, 16541, 11, 3644, 5812, 44, 9226, 1908, 18, 13212, 159, 6, 1410, 31, 7, 420, 1827, 2056, 3819, 5, 2106, 5984, 216, 9461, 45, 8, 15363, 1015, 2548, 13, 1331, 16541, 16, 4407, 6, 11, 2925, 112, 2116, 44, 8, 2808, 1611, 636, 6, 213, 3, 88, 5105, 321, 46, 4800, 11, 3, 9, 10360, 1952, 16, 1331, 16541, 5, 22674, 3105, 12, 11979, 3, 88, 47, 3, 9, 18658, 44, 8, 2969, 21, 1611, 7587, 6536, 41, 254, 24935, 61, 16, 20501, 6, 15575, 5, 242, 192, 1353, 344, 4101, 18, 16660, 11, 2722, 104, 12172, 6, 3, 88, 47, 819, 13, 478, 11, 2991, 18658, 44, 8, 1611, 2063, 30, 11957, 16541, 41, 3073, 7422, 61, 828, 16, 1524, 5, 86, 2735, 11, 1673, 104, 11138, 6, 3, 88, 47, 2959, 1291, 8815, 12, 8 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1509, 25, 28, 3, 2341, 159, 7, 9, 3, 233, 3, 31, 31, 255, 30998, 1361, 3, 5, 1, 3, 2, 34, 4781, 12, 317, 13, 5489, 25, 3, 5, 3, 31, 31, 1, 255, 19464, 160, 15618, 12, 112, 3, 5, 1, 79, 130, 3353, 12, 8, 3, 2160, 51, 28, 12795, 11, 8, 2756, 222, 1442, 3, 88, 3, 31, 26, 664, 894, 3, 5, 1, 3, 2, 3, 23, 103, 3, 29, 31, 17, 214, 149, 12, 103, 48, 3, 6, 62, 7, 3, 5, 1, 3, 23, 43, 3, 29, 31, 17, 141, 3, 9, 1675, 437, 306, 496, 3, 6, 11, 237, 258, 3, 23, 47, 150, 207, 44, 34, 3, 5, 1, 3, 23, 47, 470, 207, 44, 34, 3, 5, 1, 25, 43, 12, 1845, 24, 3263, 3, 99, 25, 241, 12, 36, 28, 140, 18, 20542, 53, 3, 23, 228, 182, 168, 11178, 34, 66, 95, 11, 4781, 25, 3, 5, 3, 31, 31, 1, 3, 2, 230, 3, 13993, 563, 381, 662, 30, 18279, 19184, 3777, 11526, 2122, 12, 10381, 11831, 15, 7, 3, 6, 3, 31, 31, 764, 147, 8, 1413, 287, 3, 5, 1, 3, 2, 563, 662, 3, 5, 3, 31, 31, 1, 62, 7, 3, 31, 7, 293, 2053, 3, 4774, 1312, 3, 5, 1, 3, 88, 19464, 3, 9, 609, 12, 160, 522, 11, 2120, 160, 12, 320, 44, 376, 3, 5, 1, 3, 2, 8, 336, 97, 3, 23, 1219, 3, 9, 2335, 3, 23, 1858, 160, 21, 8, 166, 97, 47, 223, 16, 306, 496, 3, 5, 1, 3, 23, 317, 62, 3, 31, 162, 321, 4503, 95, 3, 9, 385, 437, 258, 3, 5, 1, 62, 321, 214, 25, 54, 103, 959, 25, 474, 24, 25972, 809, 12, 3, 5, 3, 31, 31, 1, 255, 3, 107, 27829, 3, 9, 8719, 3, 6, 11, 12795, 20103, 26, 91, 13, 160, 2053, 116, 79, 3168, 3, 5, 1, 62, 7, 19464, 160, 522, 12, 112, 11, 17387, 15, 26, 8, 10583, 147, 160, 18312, 7, 3, 6, 108, 5341, 8, 62, 17, 655, 45, 160, 1133, 3, 5, 1, 258, 15880, 112, 7524, 12, 160, 7, 3, 5, 1, 230, 79, 130, 1978, 11, 62, 17, 11, 3136, 63, 3, 5, 1, 116, 255, 17387, 15, 26, 376, 223, 3, 6, 3, 9, 10505, 13, 27844, 3353, 112, 643, 16, 3, 9, 113, 32, 7, 107, 3, 5, 1, 3, 88, 2946, 112, 4247, 11, 9529, 26, 112, 13559, 344, 160, 7524, 3, 5, 1, 255, 11318, 8361, 3, 6, 12448, 120, 3, 6, 9759, 3, 9, 609, 139, 112, 1268, 11, 361, 11026, 34, 38, 255, 1736, 112, 13559, 30, 3, 9, 307, 2288, 152, 3, 5, 1, 3, 2, 230, 3, 13993, 563, 381, 874, 30, 18279, 19184, 3777, 11526, 2122, 12, 10381, 11831, 15, 7, 3, 6, 3, 31, 31, 764, 147, 8, 1413, 287, 3, 5, 1, 3, 2, 336, 3, 13993, 580, 21, 18279, 19184, 3777, 11526, 2122, 12, 10381, 11831, 15, 7, 3, 5, 3, 31, 31, 1, 3, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7, 16312, 14319, 2390, 3955, 306, 4418, 277, 2390, 3955, 307, 4418, 277, 2390, 3955, 23463, 52, 7, 4047, 31, 7, 1150, 5880, 9365, 343, 7, 1, 26894, 10, 23003, 12, 2051, 19, 3, 9, 25021, 3746, 12481, 5, 94, 47, 80, 13, 3, 9, 939, 13, 1708, 5414, 263, 16, 8, 5961, 30110, 57, 5531, 17461, 5, 3417, 53, 2348, 18740, 144, 354, 23, 52, 9, 8, 13915, 49, 11, 808, 286, 147, 633, 1274, 5, 17881, 7, 26241, 2416, 26894, 10, 23003, 12, 2051, 44, 27, 11731, 115, 3746, 12481, 4852, 3746, 4852, 1, 37, 18585, 532, 1793, 195, 15686, 1384, 41, 61, 16, 4574, 5615, 4824, 6, 3, 30004, 63, 6, 19, 80, 13, 386, 17385, 16, 3434, 2425, 12, 8, 2377, 18585, 532, 1793, 195, 15686, 9323, 3708, 318, 2294, 2128, 201, 8, 119, 192, 271, 8, 18585, 532, 1793, 195, 15686, 3312, 7, 16, 205, 23443, 11, 4308, 5, 23023, 37, 629, 16, 4574, 5615, 4824, 19, 213, 18585, 532, 1793, 195, 15686, 4114, 160, 804, 767, 6, 45, 1660, 21930, 552, 160, 1687, 30, 1630, 1186, 18315, 5, 94, 47, 1500, 641, 16, 18315, 24, 8, 629, 47, 12, 36, 2120, 139, 3, 9, 15827, 13, 160, 6, 68, 34, 47, 59, 552, 16, 8, 943, 189, 7685, 13, 160, 1687, 24, 8, 7071, 47, 2946, 6, 30, 1630, 1186, 7273, 5, 37, 3574, 18585, 532, 1793, 195, 15686, 4473, 37, 7071, 31, 7, 1232, 13, 930, 19, 59, 38, 600, 38, 8, 2102, 16, 205, 23443, 42, 4308, 5, 947, 8, 992, 13, 8, 4473, 19, 72, 30, 8, 2377, 6257, 5, 37, 4473, 19, 3, 9741, 31803, 120, 190, 2391, 2801, 6, 3, 12072, 8, 2377, 31, 7, 930, 16, 8449, 28, 160, 25705, 6, 28, 7194, 6, 29603, 7, 45, 160, 25933, 11, 5487, 5, 27695, 52, 1208, 4473, 7, 11, 5361, 4786, 37, 7071, 92, 43, 7234, 768, 4473, 7, 6, 893, 6990, 3, 9, 534, 3800, 16, 8, 930, 13, 18585, 532, 1793, 195, 15686, 42, 3, 12072, 4092, 3153, 5, 290, 19, 92, 3, 9, 5361, 4786, 21, 273, 1638, 16, 1036, 72, 81, 3, 24335, 53, 11, 8, 169, 13, 3, 9, 5361, 2785, 5, 1610, 92, 6792, 13, 712, 18, 1408, 343, 17385, 17881, 7, 26241, 2416, 18585, 532, 18, 439, 32, 195, 15686, 18, 566, 2064, 4574, 5615, 4824, 3, 318, 23603, 1261, 17385, 11, 18035, 16, 3, 30004, 63, 1793, 195, 15686, 1261, 17385, 2127, 16, 7273, 7273, 8752, 7, 16, 3434, 1793, 195, 15686, 18585, 532, 1793, 195, 15686, 1, 24726, 71, 77, 202, 1823, 26, 354, 23, 115, 41, 7473, 2307, 932, 23726, 201, 200, 801, 38, 3967, 1024, 71, 77, 202, 1823, 26, 354, 23, 115, 42, 1336, 157, 11565, 87, 329, 17670, 11565, 6, 19, 46, 9995, 29, 11603, 6, 2257, 343, 6, 11, 936, 343, 5, 12896, 16, 446, 8038, 1468, 6, 1932, 10318, 6, 1823, 26, 354, 23, 115, 1553, 913, 10773, 298, 840, 16, 6545, 122, 20856, 1408, 9, 6, 9002, 112, 166, 1232, 16, 16164, 5, 216, 1632 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 1718, 3547, 460, 2658, 6, 431, 4552, 13562, 13, 6206, 32, 8149, 7311, 43, 118, 1883, 5, 3, 4868, 8, 504, 31, 7, 2841, 2404, 6839, 6, 8, 504, 31, 7, 9897, 227, 165, 166, 5640, 2237, 12, 34, 2852, 8, 1426, 13, 3, 9, 1424, 939, 6, 3, 9, 671, 467, 6, 3, 9, 620, 13, 8723, 11, 3, 9, 332, 18, 9486, 689, 5, 3, 2, 9926, 77, 21418, 3155, 16112, 7, 7960, 209, 3, 25812, 7960, 204, 26118, 7960, 220, 25163, 7960, 314, 24705, 7960, 305, 25195, 7960, 431, 24373, 7960, 489, 25695, 7960, 505, 26228, 7960, 668, 3, 26224, 7960, 335, 28068, 7960, 850, 41, 8584, 61, 7960, 586, 41, 22224, 61, 7960, 1179, 17543, 2658, 61, 7960, 968, 17543, 2884, 61, 3, 2, 427, 102, 159, 32, 221, 953, 1820, 1549, 9232, 2423, 2823, 2823, 9089, 1820, 1890, 1748, 2423, 948, 1820, 9476, 2423, 948, 1820, 21869, 2423, 3651, 1820, 1724, 357, 2423, 1820, 1724, 357, 382, 2423, 715, 1820, 2256, 5522, 2423, 1755, 1820, 1724, 591, 2423, 1820, 1724, 591, 382, 2423, 24227, 13569, 41, 77, 4040, 61, 3, 2, 16112, 6792, 1820, 427, 102, 159, 32, 221, 567, 5937, 49, 3274, 2861, 519, 1820, 427, 102, 159, 32, 221, 567, 5937, 49, 357, 3274, 305, 1820, 11029, 3274, 6206, 32, 8149, 7311, 3, 208, 7, 37, 454, 83, 157, 55, 1820, 71, 3090, 357, 3274, 220, 10, 4834, 1820, 8465, 20162, 308, 342, 3274, 1820, 71, 3090, 591, 3274, 1820, 7110, 134, 440, 51, 1208, 3274, 1820, 4919, 3881, 322, 3274, 3, 9089, 755, 254, 3072, 17881, 7, 26241, 2416, 13686, 6206, 32, 8149, 7311, 475, 13686, 6206, 32, 8149, 7311, 4245, 30, 5343, 6206, 32, 8149, 7311, 504, 543, 30, 5343, 6206, 32, 8149, 7311, 37, 6206, 32, 8149, 7311, 1, 26035, 2143, 13843, 138, 26, 41, 31122, 13719, 507, 3072, 3, 104, 1718, 14105, 20236, 61, 47, 3, 9, 4151, 18, 7473, 797, 4183, 12373, 15676, 11, 6329, 7634, 5, 451, 47, 2361, 200, 14206, 38, 8, 15615, 13, 1491, 1847, 9, 16, 8, 26923, 14927, 10669, 4328, 2636, 26, 5, 37, 957, 2368, 4183, 11168, 88, 1408, 7, 3346, 47, 1545, 21, 2143, 13843, 138, 26, 57, 13075, 8884, 26692, 5, 451, 10611, 45, 8, 1726, 227, 16069, 16, 3, 9, 13978, 26327, 13, 8, 4183, 12373, 7542, 7512, 9, 5, 8840, 280, 2143, 13843, 138, 26, 47, 2170, 16, 11000, 17, 1063, 6, 17259, 27789, 6, 8, 3062, 13, 1079, 2143, 254, 109, 152, 2143, 13843, 138, 26, 6, 3, 9, 4383, 16422, 49, 6, 8769, 52, 11, 16, 29, 18, 10477, 16, 8, 13064, 1511, 13, 11000, 17, 1063, 11, 1022, 7, 2452, 41, 8459, 2143, 439, 35, 5600, 137, 366, 255, 47, 81, 4169, 160, 384, 20069, 26, 12, 5053, 6, 9777, 213, 255, 5526, 10715, 11895, 29, 11, 865, 5053, 1592, 1121, 5, 15151, 2143, 13843, 138, 26, 1553, 16, 8516, 16, 507, 4271, 16, 368, 1060, 116, 255, 47, 4061, 16, 11065, 9439, 31, 7, 1012, 577, 848, 7619, 15, 5, 451, 24546, 435, 1269, 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 ]
[ 40, 265, 68, 112, 3, 2, 15264, 3, 31, 31, 2120, 34, 139, 46, 1096, 3, 2935, 26, 109, 3, 6, 8, 1296, 18, 6259, 18, 7, 6190, 15306, 8581, 692, 3, 9, 1039, 3812, 30, 8, 10788, 28, 8, 2401, 15, 15, 24235, 53, 3, 9, 192, 18, 13362, 3, 5, 1, 3, 2, 48, 19, 15708, 3, 6, 3, 31, 31, 281, 52, 2029, 7683, 2726, 3, 5, 1, 3, 2, 3, 23, 3, 31, 162, 661, 731, 1487, 1267, 16, 82, 97, 3, 6, 68, 3, 23, 47, 470, 78, 8238, 3, 23, 228, 3, 29, 31, 17, 474, 192, 1076, 16, 8, 3, 1007, 3, 5, 3, 31, 31, 1, 416, 3, 2341, 3032, 3, 9, 128, 52, 7, 10335, 10807, 16, 11108, 13, 3, 9, 10075, 18, 7, 76, 9247, 21, 430, 1084, 1590, 3, 5, 1, 3, 52, 9, 9, 7, 243, 3, 6, 3, 2, 46, 32, 5630, 3, 31, 7, 530, 128, 207, 6914, 3, 6, 3, 31, 31, 38, 3, 2341, 1916, 46, 17472, 2328, 157, 3142, 24, 7673, 15, 26, 376, 91, 13, 8, 3, 1007, 3, 5, 1, 8, 26467, 9325, 7, 764, 227, 3, 2341, 68, 3, 88, 3, 24865, 135, 5915, 11, 4977, 223, 16, 3, 5, 1, 44, 166, 3, 88, 131, 8190, 132, 3, 6, 522, 10075, 2462, 223, 38, 713, 3, 29110, 17472, 11462, 15, 7, 3, 117, 258, 3, 88, 8744, 3, 9, 3, 210, 15242, 8425, 298, 112, 522, 1131, 26, 4632, 11, 112, 2053, 8143, 5402, 91, 18, 3, 31, 31, 3, 88, 3, 31, 7, 5575, 210, 697, 95, 3, 55, 3, 31, 31, 1, 1215, 20471, 3, 52, 9, 9, 7, 18, 232, 3, 88, 752, 6044, 28, 386, 11462, 15, 7, 11, 3, 9, 7378, 12, 8, 522, 3, 5, 1, 8, 4374, 877, 3645, 38, 3, 6, 826, 3, 9, 6273, 13033, 3, 6, 3, 2341, 3854, 15, 26, 46, 32, 5630, 28, 112, 29610, 9, 11, 3, 9, 511, 2401, 15, 15, 3476, 15, 26, 8, 4522, 3, 5, 1, 281, 52, 2029, 2576, 83, 2225, 2448, 46, 183, 10064, 3, 24238, 109, 3, 5, 1, 3, 2, 2087, 416, 471, 3, 88, 3, 31, 195, 26033, 3, 31, 532, 30100, 3, 31, 11, 281, 6786, 676, 28, 3, 9, 2418, 7, 13650, 3, 5, 3, 31, 31, 1, 3, 52, 9, 9, 7, 3666, 8, 4874, 12, 165, 14669, 11, 3, 6, 227, 3, 7, 17, 6631, 53, 12, 1432, 3, 9, 9717, 3, 354, 23, 122, 13125, 1466, 326, 8, 1501, 3, 6, 877, 12, 281, 52, 2029, 3, 31, 7, 596, 3, 5, 1, 544, 79, 2299, 91, 8, 1854, 63, 1343, 3, 5, 1, 3, 2, 25, 214, 3, 6, 3, 15429, 3, 6, 3, 31, 31, 281, 52, 2029, 5468, 227, 3, 9, 3, 9033, 3, 6, 3, 2, 728, 48, 19, 147, 3, 23, 3, 31, 51, 352, 12, 43, 2586, 610, 103, 424, 81, 273, 10003, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 816, 25, 130, 1107, 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 ]
[ 2217, 4467, 5, 37, 11340, 6693, 15, 15, 2301, 12, 18548, 21294, 150, 865, 145, 4619, 8496, 6020, 19, 108, 4115, 5254, 30, 321, 5422, 24046, 549, 22267, 4, 11, 5422, 1179, 2518, 549, 553, 5121, 344, 431, 265, 4536, 265, 11, 204, 2028, 5783, 2028, 5, 549, 22267, 4, 19, 46, 8484, 13, 16757, 11046, 6, 6771, 165, 6020, 8521, 5, 30355, 127, 17881, 7, 26241, 2416, 377, 2823, 5528, 18085, 21, 549, 22267, 4, 1376, 5422, 24046, 549, 22267, 4, 3, 22267, 4, 1, 37, 8272, 40, 35, 4328, 41, 6, 37, 17141, 40, 7633, 4328, 61, 19, 3, 9, 23124, 3714, 57, 10001, 1880, 49, 15994, 6, 166, 1790, 16, 15830, 5, 94, 65, 118, 3028, 38, 96, 2274, 7738, 11100, 6, 294, 569, 12334, 121, 57, 37, 4543, 13, 16590, 24525, 5, 37, 8272, 40, 35, 4328, 31, 31, 31, 7, 711, 3800, 19, 8, 28370, 13, 3, 9, 563, 13, 5234, 16, 3, 9, 496, 28, 11955, 7998, 5, 100, 6, 5815, 119, 2580, 6, 656, 8, 484, 1518, 91, 38, 271, 182, 23737, 16, 165, 1569, 5, 94, 19, 1385, 2404, 13, 8, 23124, 3472, 358, 16, 8, 460, 189, 2646, 6, 3, 9, 358, 1880, 49, 15994, 2448, 47, 3, 9, 556, 13, 6, 11, 34, 19, 1702, 12, 36, 23971, 3, 390, 30, 128, 13, 112, 293, 2704, 38, 3, 9, 1236, 44, 20074, 7, 11292, 35, 5, 419, 7239, 634, 8272, 40, 35, 4328, 19, 1702, 3, 9, 182, 359, 294, 13, 8, 23124, 14551, 8681, 57, 796, 2273, 11, 5943, 5, 94, 19, 59, 4510, 16, 8, 126, 23124, 10160, 11020, 5, 886, 43, 28270, 26, 24, 8, 23737, 1569, 13, 8, 484, 164, 43, 118, 8, 3, 12053, 1053, 21, 48, 5, 611, 6, 119, 23737, 930, 43, 118, 2681, 30, 8, 54, 106, 6, 3, 15, 5, 122, 5, 8, 4852, 2043, 17, 17, 15, 3137, 1496, 1050, 1047, 29, 11, 276, 693, 8, 1193, 835, 52, 127, 31, 31, 321, 3, 390, 30, 1335, 57, 3394, 275, 277, 35, 20024, 2, 5, 3, 14808, 2865, 37, 3714, 47, 263, 139, 3, 9, 814, 16, 8388, 5, 17881, 7, 26241, 2416, 4543, 15830, 23124, 16438, 24388, 7, 356, 16, 18001, 1, 549, 16764, 3588, 19, 3, 9, 4728, 16, 8, 1566, 2154, 3570, 6, 344, 3394, 5437, 11, 1626, 1123, 7, 3552, 5, 94, 7797, 30, 8, 711, 3457, 18, 7, 670, 107, 3, 7700, 13, 8, 5186, 7345, 4163, 195, 7, 344, 1815, 9, 26, 3013, 3588, 11, 1592, 391, 8284, 5, 622, 7, 49, 3, 7700, 7, 92, 23885, 15, 91, 12, 8, 5727, 11, 3457, 18, 12425, 5, 2224, 5984, 1117, 13, 549, 16764, 3588, 6, 640, 3, 9, 4358, 7562, 6, 19, 1815, 9, 26, 3013, 3588, 6, 8, 3902, 13, 8, 192, 271, 966, 4081, 5, 3, 15390, 53, 5727, 45, 48, 7632, 19, 571, 15, 350, 6559, 6, 3, 9, 22916, 13, 1336, 210, 5437, 9864, 5, 100, 16, 919, 14428, 190, 3, 9, 412, 18, 6489, 10645, 11, 2031, 3, 104, 3, 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 ]
[ 3, 5, 1, 3, 88, 816, 13, 8, 11236, 3, 88, 3, 31, 26, 263, 3, 120, 10878, 38, 255, 8260, 13677, 3, 6, 11, 8, 594, 3, 88, 3, 31, 26, 1866, 12, 453, 135, 3, 5, 1, 3, 2, 11, 817, 376, 3, 23, 3, 31, 162, 59, 118, 28, 150, 80, 1307, 3, 5, 1, 3, 23, 23782, 34, 3, 6, 3, 51, 967, 26, 3, 6, 57, 8, 625, 8581, 7, 11, 126, 3, 5, 1, 3582, 9, 63, 9, 243, 3, 23, 228, 43, 985, 3, 9, 215, 3, 6, 21, 8, 1871, 3, 6, 11, 21, 6055, 3, 88, 3, 31, 26, 369, 223, 3, 5, 1, 78, 25, 3, 31, 195, 817, 376, 3, 23, 3, 31, 51, 2794, 3, 6, 2275, 3, 29, 31, 17, 25, 3, 58, 1, 3, 23, 103, 3, 29, 31, 17, 241, 150, 21863, 7, 42, 1327, 3, 6, 131, 376, 3, 5, 1, 3, 88, 47, 373, 207, 12, 140, 3, 6, 1892, 3, 5, 3, 31, 31, 1, 207, 12, 25, 3, 6, 3, 29, 15, 26, 816, 23471, 120, 3, 5, 1, 3, 2, 3, 23, 56, 817, 376, 3, 6, 861, 3, 6, 11, 3, 23, 5712, 25, 3, 6, 1207, 52, 9, 1522, 59, 281, 7570, 3, 5, 3, 31, 31, 1, 255, 141, 3993, 26, 258, 3, 6, 3, 9, 3993, 78, 3, 929, 4115, 1162, 11, 2093, 24, 34, 1340, 8, 842, 91, 13, 376, 3, 5, 1, 7494, 190, 8, 3412, 63, 706, 3, 6, 3, 29, 15, 26, 1509, 3, 15429, 2983, 3, 31, 7, 522, 16, 851, 13, 376, 3, 6, 78, 114, 3, 9, 5868, 988, 13, 112, 293, 3, 5, 1, 3, 99, 8, 8581, 7, 2515, 9160, 78, 30, 3905, 17, 986, 7, 3, 6, 3, 88, 816, 146, 6073, 3, 6, 572, 410, 79, 14, 1076, 28, 224, 3, 10008, 7, 3, 58, 1, 3, 2, 3, 322, 26, 4698, 15, 40, 1273, 3, 6, 125, 103, 25, 214, 13, 3, 5840, 49, 17, 3, 31, 7, 3905, 17, 986, 7, 3, 58, 3, 31, 31, 1, 3, 2, 168, 3, 6, 3, 88, 65, 72, 145, 25, 3, 6, 21, 3, 9, 456, 3, 5, 3, 31, 31, 1, 3, 2, 149, 186, 3, 58, 3, 31, 31, 1, 385, 89, 9963, 6660, 13534, 5402, 3, 5, 1, 3, 5927, 76, 7677, 13, 9576, 3, 25460, 323, 8, 223, 13, 112, 3, 3903, 1639, 3, 5, 1, 3, 2, 405, 34, 1052, 3, 58, 1, 3, 99, 25, 1953, 631, 887, 3, 6, 128, 56, 428, 25, 6621, 3, 6, 11, 112, 8140, 65, 470, 118, 17837, 30, 24, 3476, 3, 5, 1, 3, 23, 214, 3, 88, 3, 31, 7, 16974, 24, 4940, 44, 5536, 3, 31, 7, 414, 3, 6, 8, 80, 3, 88, 2353, 15, 26, 8, 706, 3, 322, 26, 3, 5627, 29, 159, 62, 26, 3, 5, 1, 3, 88, 228, 3, 10942, 103, 2904, 3, 5, 1, 8, 2039, 47, 3, 9, 8882, 5320, 3, 6, 23642, 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 ]
[ 6, 163, 3, 9, 1158, 3377, 323, 45, 213, 90, 15, 11, 16, 26, 63, 4114, 3, 5, 1, 34, 141, 3, 9, 1245, 3, 6, 22810, 6178, 28, 11197, 3, 295, 18636, 3, 6, 786, 2677, 11, 10281, 3124, 3, 5, 1, 34, 141, 1848, 3, 6, 14826, 11, 237, 3, 9, 872, 1432, 15, 17, 8227, 3, 5, 1, 34, 263, 140, 241, 12, 8719, 3, 5, 1, 3, 23, 261, 12, 36, 3, 9, 28841, 15, 3, 6, 819, 5261, 77, 3, 31, 954, 635, 9, 7620, 51, 9, 113, 4006, 3, 9, 4740, 3, 6, 20404, 3, 15, 26, 8, 6162, 11, 3, 6, 44, 80, 97, 3, 6, 808, 323, 3, 9, 15794, 18, 2047, 1167, 53, 2816, 1167, 11, 192, 13, 112, 464, 3567, 80, 227, 8, 119, 3, 5, 1, 3, 208, 663, 7627, 47, 3, 9, 1282, 9, 7, 7, 2039, 3, 5, 1, 11, 62, 130, 1735, 139, 3, 9, 629, 28, 3, 9, 872, 1432, 15, 17, 8227, 3, 5, 1, 3, 23, 228, 3, 29, 31, 17, 1749, 3, 5, 1, 3, 2, 3, 23, 31, 40, 3, 1489, 8, 3102, 5721, 3, 6, 129, 376, 12, 1006, 18, 11991, 34, 3, 6, 3, 31, 31, 3, 88, 1219, 140, 3, 5, 1, 3, 2, 125, 33, 62, 3, 5307, 3, 29, 9, 103, 28, 386, 8458, 11, 192, 11, 3, 9, 985, 3827, 7, 3, 58, 3, 31, 31, 1, 3, 23, 1380, 3, 5, 1, 3, 2, 5375, 135, 28, 9388, 3, 6, 3, 31, 31, 3, 88, 9986, 11, 8, 36, 40, 3, 63, 3, 7, 210, 6631, 3, 26, 15437, 7231, 3, 5, 1, 7627, 3, 6, 131, 12, 36, 16241, 3, 6, 3, 23, 243, 3, 6, 3, 2, 48, 19, 8, 163, 861, 3, 23, 3, 31, 51, 578, 3, 5, 1, 1379, 24117, 3, 7, 4636, 7, 3, 5, 3, 31, 31, 1, 3, 23, 1943, 376, 428, 3, 9, 731, 3, 6, 1835, 8719, 274, 3, 88, 4862, 140, 3, 6, 3, 2, 62, 3, 31, 60, 4244, 2494, 3, 31, 662, 1082, 3, 5, 3, 31, 31, 1, 3, 2, 662, 3, 55, 3, 31, 31, 1, 3, 23, 3, 24781, 3, 6, 82, 819, 20382, 53, 223, 12, 320, 44, 376, 16, 8, 8114, 2242, 3, 5, 1, 3, 23, 1858, 479, 44, 3, 208, 663, 136, 97, 68, 8, 200, 97, 47, 16, 8, 8114, 2242, 3, 6, 116, 8, 6112, 7, 11, 18418, 13, 112, 522, 130, 8552, 15, 26, 3, 6, 321, 614, 11, 1835, 68, 491, 786, 3, 6, 114, 3, 88, 47, 12, 140, 3, 5, 1, 112, 3, 5675, 3, 17, 15437, 323, 11, 3, 88, 2299, 44, 140, 3, 5, 1, 3, 2, 17945, 3, 6, 662, 3, 5, 3, 31, 31, 1, 3, 2, 150, 194, 183, 3, 23, 3, 5307, 3, 29, 9, 43, 662, 1082, 3, 5, 3, 31, 31, 1, 3, 2, 662, 3, 31, 7, 3, 9, 207, 381, 3, 5, 3, 31, 31, 1, 3, 2, 25, 2331 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2752, 3, 5, 1, 2177, 8260, 430, 596, 13, 8, 1481, 3, 6, 84, 92, 141, 3, 9, 6093, 13, 387, 171, 53, 45, 46, 2101, 306, 756, 135, 3, 5, 1, 79, 2804, 365, 34, 3, 6, 11, 38, 79, 3, 12279, 8, 416, 2752, 79, 3, 11917, 45, 8, 1102, 13, 70, 8552, 7, 24, 79, 141, 2120, 190, 3, 9, 792, 13, 4169, 17, 63, 4526, 3, 6, 84, 2237, 3, 651, 152, 12, 12692, 24, 8, 7293, 47, 2641, 18, 17389, 3, 5, 1, 131, 114, 8, 80, 16, 8, 19400, 15854, 3, 6, 3, 88, 816, 3, 5, 1, 79, 141, 131, 3, 6412, 365, 780, 430, 1990, 6615, 84, 3, 6, 114, 8, 717, 3, 6, 5147, 3, 9, 422, 2201, 3, 9, 710, 2357, 45, 8, 1481, 274, 6904, 326, 323, 8, 4180, 1583, 116, 3, 9, 2320, 4283, 45, 1751, 8, 416, 2752, 3, 5, 1, 34, 47, 3, 9, 490, 4180, 13, 3, 9, 388, 3, 6, 28, 2164, 1133, 3, 6, 4358, 15424, 11, 3, 9, 819, 24, 4283, 1349, 18, 7, 7965, 29, 45, 8, 851, 3, 6, 68, 30, 4645, 6082, 141, 3, 9, 307, 3, 6, 9564, 23, 1054, 26190, 5756, 813, 2666, 26, 53, 45, 8, 223, 3, 5, 1, 6467, 3109, 51, 3279, 46, 539, 8466, 12, 22428, 376, 11, 3, 6, 38, 8, 388, 3666, 8, 17374, 3, 6, 3, 651, 152, 11, 78, 11692, 15, 4944, 24, 1446, 13, 1780, 3, 88, 141, 508, 4522, 2110, 7, 3, 6, 1066, 114, 273, 13, 3, 9, 21189, 3, 5, 1, 18660, 7, 3, 13676, 7048, 3, 6, 3, 88, 243, 12, 6467, 3109, 51, 3, 6, 16, 3, 9, 2249, 24, 5261, 1361, 11, 3, 52, 13514, 26, 114, 46, 2806, 5536, 3, 5, 1, 126, 11474, 7, 3, 58, 1, 3, 88, 1580, 26, 78, 11692, 15, 11, 3, 651, 152, 9805, 120, 3, 5, 1, 2997, 3, 6, 18606, 6467, 3109, 51, 3, 6, 7671, 7920, 21, 8, 192, 13, 135, 12, 1147, 1039, 3, 5, 1, 3, 651, 152, 3, 6, 78, 11692, 15, 3, 6, 942, 3, 51, 52, 3, 83, 63, 7, 2260, 2480, 2091, 3, 5, 1, 3, 88, 19, 8, 6444, 1253, 40, 322, 13, 48, 3064, 11, 46, 2205, 16, 1722, 9009, 3, 5, 1, 2480, 2091, 1891, 135, 3, 9, 5495, 17, 150, 26, 3, 5, 1, 39, 15, 131, 16, 97, 3, 6, 3, 88, 243, 3, 5, 1, 819, 2541, 16, 11, 11454, 265, 15, 3, 8781, 524, 2037, 56, 217, 12, 25, 3, 5, 1, 258, 3, 6, 406, 856, 1448, 3, 6, 3, 88, 3, 6626, 221, 657, 135, 11, 10026, 26, 139, 8, 2201, 44, 8, 2418, 13, 8, 17067, 3, 5, 1, 3164, 388, 3, 6, 376, 3, 6, 243, 6467, 3109, 51, 3, 5, 1, 5679, 7, 112, 97, 344, 2119, 11, 20404, 697, 3, 5, 1, 2389, 3, 88, 114, 7, 12, 161, 2238, 3, 6, 68, 3, 88, 7, 3, 9, 207, 11179, 116, 3, 88, 7, 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 ]
[ 254, 1220, 4198, 10, 1206, 61, 1266, 4941, 77, 1208, 1751, 6514, 1751, 22217, 12406, 7, 16672, 9308, 6514, 6514, 4125, 17881, 7, 12772, 26241, 2416, 13686, 475, 887, 1, 3, 2, 3, 107, 2, 26, 107, 1963, 40, 19, 3, 9, 2776, 15, 2176, 7262, 18297, 45, 10150, 1370, 5, 37, 564, 19, 230, 20518, 16, 186, 2807, 6, 167, 5871, 5845, 1092, 5, 37, 18297, 33, 3, 9, 6421, 13, 205, 35, 154, 40, 3, 29, 427, 4922, 16720, 41, 9500, 1427, 6, 205, 35, 154, 40, 3, 51, 279, 77, 29, 9031, 201, 12770, 12, 8, 412, 2, 445, 154, 1092, 117, 79, 1988, 19991, 45, 262, 32, 8019, 272, 14029, 1836, 6, 8, 520, 13, 262, 4922, 2565, 11486, 445, 154, 1092, 5, 2940, 28962, 16, 5316, 33, 435, 24448, 640, 10150, 1370, 6, 11, 1334, 11884, 189, 6, 312, 77, 1370, 5, 86, 7262, 3, 99, 8, 511, 294, 13, 8, 244, 4350, 4396, 28, 3, 9, 22121, 15, 40, 3, 31, 2, 31, 6, 8, 607, 3, 2, 9129, 15, 7, 3, 9, 3, 107, 12, 34, 6, 48, 19, 8, 3, 107, 18, 1409, 24874, 17324, 5, 86, 48, 495, 3, 2, 26, 107, 1963, 40, 2992, 3, 2, 3, 107, 2, 26, 107, 1963, 40, 5, 37, 119, 2807, 1504, 150, 483, 10, 445, 2, 1980, 107, 1963, 40, 6, 41, 2703, 152, 61, 412, 2, 1980, 107, 1963, 40, 5, 5826, 1601, 38, 10, 3, 2, 3, 107, 2, 15538, 4148, 10781, 42, 3, 2, 3, 2, 15538, 4148, 10781, 6, 8, 166, 3, 31, 107, 31, 225, 373, 36, 893, 1364, 6701, 6, 42, 3, 9, 2755, 3, 31, 566, 31, 4088, 812, 5, 24699, 11, 638, 144, 13, 5412, 7, 37, 24699, 19, 1122, 7, 15, 2415, 265, 19575, 49, 23, 6, 15459, 38, 304, 493, 3, 10867, 19224, 304, 1610, 51, 5, 37, 18043, 2565, 41, 115, 9, 8692, 12676, 61, 19, 96, 553, 222, 10100, 9, 206, 195, 9, 9337, 52, 4078, 1686, 15459, 38, 465, 223, 2239, 2245, 5, 37, 638, 144, 13, 5412, 7, 19, 3028, 38, 271, 117, 71, 13128, 3, 9, 1000, 60, 1057, 28, 192, 9969, 6448, 13, 3, 49, 8695, 4223, 5, 461, 420, 13, 8, 13128, 19, 3, 9, 146, 1489, 4301, 782, 17, 5, 71, 2916, 8, 4301, 782, 17, 19, 8, 2320, 13, 3, 9, 30782, 16, 3278, 6, 3823, 28, 165, 522, 12, 8, 17831, 31, 7, 646, 5, 37, 21808, 87, 22530, 5475, 25243, 6, 1815, 63, 2920, 63, 11, 16934, 37, 848, 8695, 19, 1968, 28, 8, 3, 9598, 7, 11, 10228, 7, 13, 3671, 11, 24708, 5780, 2568, 970, 1489, 2487, 782, 17, 19, 3, 9, 10228, 13, 3, 9, 146, 1050, 31880, 16, 3278, 19, 16910, 9850, 15, 26, 8, 337, 38, 3, 9, 3, 7325, 5528, 555, 13, 8, 1374, 18297, 7, 13, 8, 205, 35, 154, 40, 3, 51, 279, 77, 29, 9031, 6, 205, 35, 154, 40, 3, 29, 427, 4922, 16720, 3, 9, 6421, 13, 8, 5961, 412, 2, 445, 154 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 9, 3334, 1368, 13, 204, 104, 4416, 933, 179, 1798, 1508, 933, 179, 10644, 560, 10, 2215, 1271, 309, 173, 14043, 10, 12892, 332, 7359, 2209, 382, 9505, 9, 11, 4039, 138, 509, 8166, 17, 7, 276, 4882, 12387, 11859, 122, 5777, 13388, 107, 10, 12892, 1051, 12923, 17740, 7, 3642, 9493, 8222, 3186, 4738, 1575, 10, 10511, 3763, 44, 1815, 63, 32, 521, 3790, 11231, 41, 22594, 104, 4018, 61, 5762, 309, 1927, 9789, 362, 3, 184, 3576, 20085, 16170, 10, 7174, 13, 8, 2312, 4795, 2271, 2263, 3184, 11, 22988, 29, 7, 5, 2702, 5907, 37, 372, 5526, 8, 16164, 2312, 2271, 2263, 3184, 868, 7, 11, 1632, 511, 16, 8, 3513, 11, 3, 31003, 4889, 5, 621, 8, 1157, 7, 5762, 309, 1927, 9789, 362, 11, 3576, 20085, 16170, 5710, 2312, 4795, 2271, 2263, 3184, 5, 17881, 7, 26241, 2416, 1, 37, 1076, 31, 7, 4837, 3, 22404, 928, 3, 2726, 1306, 605, 44, 8, 2464, 1150, 11154, 7636, 7666, 7, 808, 286, 30, 1660, 204, 44, 8, 242, 32, 94, 138, 5807, 5, 37, 1678, 7, 130, 1213, 383, 8, 1379, 2363, 11, 8, 804, 130, 1213, 383, 8, 2272, 2363, 5, 100, 5989, 605, 261, 3, 2726, 1306, 5989, 5, 2070, 8, 5989, 2201, 19, 943, 14604, 307, 6, 48, 1964, 14280, 26, 13, 2641, 2475, 7, 13, 8, 2201, 5, 37, 166, 192, 2475, 7, 130, 3, 7, 210, 440, 338, 8, 23337, 9529, 6, 8, 511, 3116, 28, 8, 223, 24790, 6, 8, 1025, 3116, 13, 2475, 7, 16, 6748, 24790, 6, 11, 8, 804, 192, 130, 339, 4084, 5, 3, 8739, 119, 984, 338, 339, 4084, 6, 27424, 7, 228, 59, 169, 23337, 6, 223, 24790, 6, 42, 6748, 24790, 21, 8, 339, 4084, 4553, 117, 167, 27424, 7, 169, 8, 851, 18639, 16, 339, 4084, 984, 5, 11547, 6783, 12, 8, 2259, 6, 8, 1895, 296, 11, 10183, 3187, 130, 38, 6963, 5, 465, 126, 296, 42, 2259, 3187, 130, 356, 383, 48, 2259, 5, 12772, 7862, 7, 6514, 17881, 7, 26241, 2416, 2464, 1150, 11154, 7636, 7666, 7, 3, 104, 3137, 31, 7, 4837, 3, 22404, 928, 3, 2726, 1306, 1764, 570, 6, 45, 20336, 382, 603, 53, 5, 287, 117, 3, 31340, 2722, 18, 3076, 18, 14681, 10963, 3, 2726, 1306, 3137, 4837, 1, 8929, 4599, 3455, 195, 8206, 5, 41, 26579, 6464, 15830, 3, 104, 932, 6180, 6503, 61, 47, 46, 797, 3370, 11976, 414, 113, 1944, 16, 8, 797, 10929, 3815, 21, 8, 9628, 3, 13598, 3247, 16, 20236, 5, 15151, 3455, 195, 1944, 1900, 3370, 44, 21295, 6944, 11, 47, 2639, 57, 8, 868, 10929, 3815, 31, 7, 3715, 9034, 7, 16, 8, 220, 52, 26, 1751, 41, 2469, 189, 1879, 61, 13, 8, 20236, 10439, 21409, 11, 8, 71, 10765, 31, 7, 5053, 20109, 7, 16, 8, 305, 189, 1751, 41, 3747, 189, 1879, 61, 13, 8, 20236, 71, 10765, 21409, 68, 410, 59, 577, 21, 893, 372, 5, 216, 1944, 163, 80, 774, 13931, 28, 8, 71, 10765, 31, 7, 9628, 3, 13598, 3247, 5 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7542, 9, 13, 18838, 6041, 7, 3028, 16, 507, 3076, 4904, 29, 189, 9773, 20253, 15, 9, 15, 1, 37, 20074, 6411, 20777, 19, 3, 9, 3956, 1470, 21, 8, 368, 1060, 896, 20074, 6411, 5, 94, 47, 5147, 227, 8, 1651, 23138, 116, 8, 6411, 47, 8154, 3135, 982, 5, 94, 7, 1730, 47, 12, 1535, 91, 12, 321, 750, 11, 1055, 2417, 724, 1909, 8, 1435, 4548, 18, 4057, 2417, 5, 94, 1860, 3472, 7639, 81, 6329, 11, 8, 6329, 296, 190, 415, 984, 6, 7009, 6, 10142, 21, 18872, 11, 21, 16530, 5, 22738, 16, 8, 27710, 87, 3420, 774, 8, 20777, 1116, 3495, 3, 8630, 724, 16, 165, 166, 215, 13, 2673, 6, 11, 47, 3, 179, 12, 143, 165, 166, 1876, 12, 8, 20074, 6411, 10, 3, 9, 126, 3, 7132, 32, 10819, 5, 3, 11714, 8, 15559, 7, 4757, 2925, 12, 1604, 11, 79, 130, 3, 179, 12, 365, 17504, 8, 3069, 906, 21, 2186, 1195, 114, 3, 9, 126, 999, 13, 22338, 31, 7, 7888, 23077, 11, 258, 12, 370, 80, 1025, 13, 8, 583, 1866, 57, 8, 20074, 6411, 2125, 12, 8, 629, 4157, 57, 8, 20074, 6411, 11, 2977, 6925, 1958, 5, 37, 20777, 856, 15, 26, 3472, 592, 30, 8, 768, 11, 3153, 13, 6329, 12, 6329, 12891, 45, 640, 8, 684, 6, 186, 13, 4068, 163, 2124, 8, 8146, 45, 70, 5547, 2252, 6878, 7, 5, 328, 698, 70, 1103, 28, 3513, 3945, 12, 669, 72, 6, 11, 190, 496, 1356, 7232, 8, 416, 3381, 13, 6329, 12891, 5, 37, 166, 1236, 11317, 721, 47, 2569, 57, 8, 20777, 16, 27456, 11, 592, 12, 619, 999, 7, 65, 11721, 118, 1860, 664, 437, 5, 86, 8, 7434, 7, 38, 5138, 1073, 3135, 47, 20215, 1340, 6, 8, 20777, 3, 14417, 16, 12, 2094, 3081, 5, 1029, 3145, 761, 12, 16, 496, 2377, 21205, 1356, 6, 8, 20777, 704, 1246, 18, 18591, 342, 6, 585, 18, 390, 5138, 1073, 12, 66, 13082, 6, 16, 1155, 24, 33, 2895, 12, 8, 496, 7850, 11, 8, 523, 13, 3081, 5, 1377, 168, 801, 164, 36, 70, 5707, 6411, 3529, 84, 47, 5285, 166, 38, 3, 9, 7288, 68, 1224, 1632, 8, 1374, 5707, 3, 12895, 12, 6329, 5, 1029, 223, 10705, 8108, 12, 796, 984, 6, 8, 20074, 6411, 20777, 65, 8148, 8, 194, 186, 151, 582, 29740, 28, 213, 6329, 639, 45, 5, 17881, 7, 20074, 6411, 3057, 1073, 2371, 19173, 4222, 16, 8, 907, 1323, 19173, 4222, 2127, 16, 27710, 27710, 8752, 7, 16, 368, 1060, 896, 1, 37, 826, 19, 3, 9, 570, 13, 7025, 7, 16, 1117, 2808, 19573, 6, 8642, 13877, 5, 71, 14217, 1665, 5428, 144, 12204, 51, 9, 6, 14217, 1665, 8758, 9, 6, 14217, 1436, 9629, 83, 265, 9, 6, 71, 1436, 3380, 265, 9, 6, 71, 1436, 26038, 8758, 9, 272, 3862, 9, 88, 521, 1754, 9, 1123, 17, 202, 76, 1123, 210, 9, 6, 3862, 9, 88, 521, 15039, 127, 15, 210, 9, 6, 3862, 9, 88, 5430, 265, 9, 6, 21200, 265, 202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9793, 6, 1511, 1605, 6, 5353, 1605, 6, 11, 119, 1181, 18, 2685, 526, 2231, 5, 37, 984, 33, 3115, 4997, 57, 2463, 16567, 6, 11069, 2371, 6, 688, 6, 11, 2095, 10521, 5, 506, 984, 54, 36, 38, 650, 38, 11278, 3989, 670, 7, 42, 38, 1561, 38, 423, 18, 17378, 14856, 114, 8, 80, 30, 8, 4653, 596, 13, 18751, 6, 6167, 5, 37, 1013, 2808, 3588, 2916, 9387, 4195, 16, 18751, 7958, 7, 80, 13, 8, 2015, 6, 84, 963, 619, 723, 6, 542, 6, 11, 4527, 5, 86, 20919, 29, 986, 6, 1826, 6, 17383, 224, 38, 5224, 658, 3706, 5523, 7305, 43, 3989, 670, 7, 6, 619, 723, 6, 10410, 6, 11, 8305, 57, 2095, 5803, 6, 1472, 14248, 7, 6, 11, 3856, 5700, 75, 7, 28, 1455, 10686, 7, 6, 6981, 7, 6, 11, 1195, 21, 66, 2797, 5, 2507, 7, 17881, 7, 26241, 2416, 3, 6, 711, 765, 353, 1660, 3, 11755, 663, 7, 7707, 4349, 477, 7707, 5447, 9793, 9108, 7, 11, 3, 11755, 663, 7, 57, 16131, 41, 29, 189, 471, 1135, 13, 8, 847, 61, 2402, 7961, 16, 8, 907, 1323, 2402, 7961, 16, 1894, 1797, 3, 11755, 663, 7, 419, 3663, 1007, 984, 2127, 16, 13480, 2818, 3, 11755, 663, 7, 1, 15718, 7320, 1408, 210, 670, 41, 28635, 12864, 1003, 4591, 3, 104, 1671, 12026, 507, 4834, 61, 47, 46, 797, 21982, 6, 11947, 6, 3, 7576, 83, 1016, 6, 11, 24694, 5, 216, 19, 200, 801, 21, 112, 1075, 16, 8, 7320, 1408, 210, 670, 18, 4489, 63, 17, 14605, 6, 16, 84, 3, 88, 47, 3, 12554, 12, 43, 10960, 15, 15133, 26, 1970, 6, 26144, 6, 2518, 20734, 1298, 383, 112, 20752, 38, 30275, 13, 8, 3625, 13, 368, 1060, 5, 8840, 280, 7320, 1408, 210, 670, 47, 2170, 16, 276, 4607, 20582, 2452, 6, 10098, 15, 7, 7, 1334, 6, 368, 1060, 30, 1671, 12864, 1003, 4591, 5, 216, 47, 80, 13, 2391, 502, 2170, 12, 18240, 7320, 1408, 210, 670, 18360, 4906, 104, 26593, 11728, 11, 6538, 41, 8459, 1117, 61, 7320, 1408, 210, 670, 5, 8529, 28, 112, 10740, 1079, 11, 22965, 9, 26, 972, 2146, 2715, 7320, 1408, 210, 670, 6, 15718, 47, 3, 9, 885, 3, 1427, 13, 14411, 4152, 52, 16, 112, 778, 1415, 16, 368, 1060, 1015, 6525, 5, 15718, 7320, 1408, 210, 670, 3, 7361, 885, 12, 4152, 52, 1019, 8, 7722, 31, 7, 280, 6, 11, 47, 112, 6723, 9663, 30, 633, 307, 6846, 5, 15151, 7320, 1408, 210, 670, 47, 46, 1676, 8344, 16, 4152, 52, 31, 7, 6086, 16, 8, 1244, 11, 16, 8, 25662, 3689, 24, 741, 15, 26, 45, 34, 5, 86, 1797, 8003, 11071, 3, 88, 1736, 28, 5945, 5, 2549, 8540, 7815, 106, 44, 8, 11315, 630, 851, 6, 213, 3, 88, 3566, 8, 3, 3389, 760, 17215, 84, 47, 865, 17250, 57, 8540, 7815, 106, 11, 2569, 38, 2084, 16, 8, 25662, 3689, 5, 621, 8540, 7815, 106, 808, 4106, 13, 368, 14433, 16, 1671, 6, 7320, 1408, 210, 670, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 697, 11529, 18862, 7666, 549, 6216, 697, 17881, 7, 868, 549, 6216, 697, 11529, 10183, 7, 24404, 7666, 549, 6216, 697, 10183, 7, 3284, 372, 24754, 10183, 7, 7676, 771, 24754, 10183, 7, 1, 1660, 302, 6324, 12591, 15, 350, 14919, 41, 31122, 7973, 507, 4853, 3, 104, 1600, 10440, 3, 11776, 5268, 47, 3, 9, 2390, 3, 35, 235, 51, 9290, 113, 3028, 147, 11668, 3244, 13, 27026, 11, 2288, 189, 7, 5, 216, 19, 200, 801, 21, 112, 161, 30, 1117, 797, 465, 75, 17, 76, 23, 26, 9, 15, 5, 71, 381, 13, 3244, 130, 2650, 227, 376, 6, 379, 8, 2288, 189, 1546, 10819, 3, 122, 14919, 23, 5, 8840, 280, 11, 384, 350, 14919, 47, 2170, 16, 71, 23, 122, 5808, 189, 6, 3, 9, 16432, 13, 15131, 6, 16, 507, 4853, 5, 978, 2039, 47, 1566, 6, 11, 112, 28574, 18573, 6, 1660, 302, 6324, 12591, 15, 6, 47, 3, 9, 2397, 16, 8, 629, 13, 8627, 6187, 24042, 5, 350, 14919, 47, 3, 9, 166, 12685, 30, 112, 2039, 31, 7, 596, 12, 262, 532, 40, 3385, 15, 7, 5, 350, 14919, 31, 7, 2353, 47, 2170, 16, 2744, 9389, 6, 11, 112, 2576, 2947, 138, 689, 545, 8320, 26, 223, 12, 10098, 25857, 11560, 32, 8554, 17, 23, 302, 5, 978, 384, 564, 47, 2130, 45, 3, 31, 517, 52, 32, 107, 2229, 31, 12, 3, 31, 517, 14919, 31, 116, 112, 2353, 1632, 46, 1566, 13008, 5, 1660, 302, 350, 14919, 764, 12, 368, 1060, 44, 1246, 7973, 80, 215, 227, 112, 1362, 141, 2301, 132, 45, 2789, 6, 11, 1869, 112, 4192, 30, 1015, 29, 2834, 213, 112, 2353, 141, 3907, 3, 9, 3797, 16, 368, 6200, 102, 5, 216, 5526, 496, 365, 6187, 374, 122, 107, 76, 721, 213, 3, 88, 1632, 7352, 803, 28, 8200, 3, 4744, 15, 89, 11, 22705, 2255, 8153, 6, 321, 13, 4068, 113, 92, 1632, 3, 35, 235, 51, 17382, 5, 350, 14919, 31, 7, 1046, 16, 3, 35, 235, 51, 1863, 6, 11, 2288, 189, 7, 16, 1090, 6, 1553, 44, 3, 9, 1021, 1246, 38, 3, 88, 15883, 8, 793, 844, 300, 112, 234, 30, 1015, 29, 2834, 28, 3, 4744, 15, 89, 11, 2255, 8153, 5, 3, 4744, 15, 89, 8788, 70, 7352, 16304, 10858, 38, 6963, 10, 37, 3, 35, 235, 51, 4478, 1046, 13, 8, 386, 5234, 47, 20564, 26, 57, 1079, 71, 2406, 23765, 5, 978, 2353, 11496, 16, 490, 2052, 11, 47, 1381, 16, 8, 16072, 13, 8, 1015, 29, 2834, 18025, 5, 389, 1456, 323, 7535, 16, 507, 3436, 741, 15, 26, 16, 1516, 981, 19285, 21, 8, 384, 11, 19653, 1660, 302, 31, 4355, 11364, 44, 13199, 636, 5, 216, 865, 3666, 12, 1740, 12, 856, 112, 1073, 6, 11, 1286, 7646, 12, 8, 907, 1323, 6, 5526, 27600, 1888, 6, 8913, 6, 11, 9461, 28, 3, 9, 283, 5, 188, 5, 1952, 5, 86, 507, 2518, 6, 350, 14919, 4464, 3, 9, 2335, 45, 19018, 6, 1013, 5089, 117, 255, 3977, 386, 203, 865, 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 ]
[ 25, 43, 3, 9, 28158, 42, 3, 9, 16352, 16, 39, 6743, 3, 6, 3, 23, 103, 3, 29, 31, 17, 317, 25, 3, 31, 195, 129, 550, 28, 3, 52, 32, 17784, 1321, 30, 48, 4383, 3, 5, 3, 31, 31, 1, 3, 2, 113, 243, 959, 81, 3, 52, 32, 17784, 1321, 3, 58, 1, 43, 25, 664, 1943, 13, 3, 6693, 159, 3, 2341, 29, 23, 9789, 42, 6253, 17, 52, 14261, 83, 15, 3523, 3, 58, 3, 31, 31, 1, 3, 2, 125, 3, 99, 3, 23, 43, 3, 58, 3, 31, 31, 1, 3, 2, 3, 2341, 29, 23, 9789, 11, 14261, 83, 15, 3523, 33, 30, 70, 194, 12, 3, 26165, 21, 3, 9, 10183, 1588, 3, 5, 1, 3, 99, 3, 23, 54, 8031, 21, 25, 12, 577, 8, 192, 13, 135, 3, 6, 3, 31, 31, 528, 89, 89, 243, 3807, 222, 120, 3, 6, 3, 2, 62, 54, 1369, 3, 9, 418, 13, 540, 3, 5, 1, 34, 3, 31, 7, 3, 9, 626, 5818, 3, 5, 3, 31, 31, 1, 3, 6471, 63, 47, 479, 44, 376, 16, 17216, 83, 11937, 3, 5, 1, 3, 2, 3, 99, 25, 54, 8031, 21, 140, 12, 577, 8, 192, 13, 135, 3, 58, 1, 24, 3, 31, 7, 39, 626, 5818, 3, 58, 3, 31, 31, 1, 3, 2, 3, 76, 107, 18, 28848, 3, 5, 1, 149, 103, 25, 114, 34, 3, 58, 3, 31, 31, 1, 3, 2, 3, 23, 333, 34, 3, 5, 1, 132, 3, 31, 7, 131, 80, 5103, 1560, 524, 3, 5, 3, 31, 31, 1, 3, 2, 125, 3, 31, 7, 24, 3, 58, 3, 31, 31, 1, 3, 2, 3, 23, 103, 3, 29, 31, 17, 577, 3, 2951, 7, 3, 5, 3, 31, 31, 1, 3, 88, 3993, 26, 31144, 120, 3, 5, 1, 3, 2, 150, 682, 3, 5, 1, 3, 23, 3, 31, 195, 3884, 25, 3, 5, 3, 31, 31, 1, 3, 2, 25, 3, 31, 60, 21070, 3, 6, 3, 31, 31, 3, 6471, 63, 243, 3, 5, 1, 3, 2, 3, 99, 25, 241, 128, 1867, 3, 6, 25, 3, 31, 195, 253, 909, 3, 9, 207, 31925, 3, 5, 1, 207, 706, 3, 5, 3, 31, 31, 1, 8, 826, 1379, 3, 6471, 63, 6672, 13033, 15, 26, 139, 3, 6693, 159, 3, 2341, 29, 23, 9789, 3, 5, 1, 3, 88, 47, 3, 1927, 4102, 53, 30, 8, 3432, 3854, 3, 6, 11, 38, 3, 6471, 63, 3, 12279, 3, 9, 2752, 3, 6, 3, 88, 4037, 139, 160, 3, 6, 7673, 53, 160, 326, 160, 1922, 3, 5, 1, 3, 2, 1605, 213, 25, 3, 31, 60, 352, 3, 6, 3, 31, 31, 3, 88, 1604, 1361, 3, 5, 1, 11, 3, 88, 2697, 1180, 3, 5, 1, 3, 6471, 63, 3, 7, 144, 30, 8, 3854, 3, 6, 479, 227, 376, 3, 5, 1, 3, 2, 13, 66, 8, 19986, 3, 18, 3, 55, 3, 31, 31, 1, 255, 8190, 95, 11, 3, 24865, 6257, 326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 14461, 581, 8, 16073, 151, 121, 3759, 46, 4962, 16, 1718, 4402, 5, 23023, 3455, 17, 9, 276, 20041, 4365, 9, 47, 3, 9, 3309, 13, 81, 11668, 11655, 1427, 16073, 21155, 16, 2382, 4790, 6, 1069, 16, 8, 5509, 29, 32, 3233, 15055, 1621, 221, 2009, 6, 14354, 41, 235, 1135, 9934, 29, 15405, 40, 411, 21234, 16, 11897, 137, 86, 957, 3288, 6, 826, 4494, 2968, 11, 12873, 3211, 30, 14354, 6, 8, 3336, 1621, 221, 2009, 47, 46, 29, 6667, 26, 57, 8, 12873, 3545, 6, 2852, 294, 13, 8, 22849, 12873, 5750, 5, 621, 8, 24822, 2968, 3211, 30, 8, 12873, 3545, 6, 34, 4728, 365, 2968, 13792, 5, 37, 3309, 47, 3, 9, 779, 16073, 5673, 2050, 6, 6237, 581, 2968, 3859, 11, 8, 22849, 86, 3042, 5560, 6788, 5, 282, 3, 9, 741, 6, 8, 22849, 7, 1114, 12, 6312, 48, 16073, 1101, 6134, 5, 16073, 21155, 13, 8, 3309, 576, 18, 18140, 1054, 28, 12873, 3, 18237, 7, 6, 1676, 16, 8, 616, 5, 86, 1762, 11, 2083, 21930, 6, 12873, 12673, 130, 8325, 2692, 6, 11, 48, 47, 4944, 57, 321, 8, 22849, 7, 11, 8, 2968, 7, 5, 389, 3, 8715, 1101, 6134, 6, 3455, 17, 9, 276, 20041, 4365, 9, 141, 3, 13973, 326, 633, 6032, 16, 26436, 11, 778, 21930, 5, 5770, 10610, 8840, 16, 8, 1379, 13, 2083, 13719, 21930, 6, 3, 9, 4838, 2054, 13, 22849, 3, 4256, 11, 2968, 10838, 3, 8623, 3455, 17, 9, 276, 20041, 4365, 9, 5, 290, 130, 128, 7366, 104, 6192, 10838, 11, 34, 65, 118, 2127, 24, 26094, 4133, 49, 172, 1, 5424, 9, 23, 86, 397, 1635, 6628, 5768, 232, 41, 2773, 1718, 957, 1808, 3, 104, 968, 1186, 3888, 61, 47, 3, 9, 21894, 24694, 21, 8, 2969, 3450, 5, 216, 47, 8160, 12, 8, 21894, 12876, 45, 20970, 18, 188, 122, 588, 16, 21018, 6, 11, 47, 3, 60, 18, 19971, 16, 8, 20236, 5109, 32, 17, 15, 5, 216, 141, 3150, 2098, 16, 8, 1102, 13, 21108, 6978, 16, 8, 1059, 22306, 104, 26937, 5411, 6628, 5768, 232, 47, 2170, 16, 7281, 1496, 521, 11, 3, 9, 1144, 13, 7281, 1496, 521, 10516, 6098, 16, 8, 203, 23992, 104, 2294, 5553, 11, 24970, 104, 2294, 3072, 5, 1029, 16312, 12, 15041, 3, 88, 47, 3, 9, 1144, 13, 20970, 18, 188, 122, 588, 5435, 6098, 5, 17857, 6525, 3, 88, 47, 3, 9, 17766, 5, 216, 3533, 15, 26, 8, 3518, 5800, 13, 8, 21894, 71, 3484, 5288, 2125, 30, 192, 9194, 6, 11, 1632, 3610, 1208, 1144, 16, 15041, 5, 216, 47, 92, 1676, 16, 8, 3, 20331, 1489, 15026, 152, 1443, 2345, 13, 16491, 5, 17881, 7, 957, 1808, 3879, 7, 3888, 14319, 2969, 3450, 41, 567, 127, 1343, 61, 13446, 9537, 13, 8, 472, 127, 1222, 20970, 18, 188, 122, 588, 13446, 21894, 7208, 460, 189, 18, 14006, 21894, 13446, 2449, 45, 7281, 1496, 521, 1, 6806, 99, 295, 152, 173, 41, 188, 18, 23360, 6982, 19, 46, 23139, 46, 138, 2897, 447, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16127, 13307, 21, 284, 215, 437, 507, 4240, 5, 6783, 12, 1230, 8, 1059, 21, 3, 12053, 8, 10183, 708, 30, 8, 239, 826, 8, 414, 13, 8, 23802, 13109, 774, 11, 2369, 30, 8, 804, 239, 13, 8, 23802, 13109, 774, 16, 8, 826, 215, 3, 18, 21, 677, 6, 8, 2038, 11590, 10183, 4037, 45, 335, 1671, 2038, 12, 505, 1671, 5832, 1029, 1230, 8, 10183, 19, 1500, 57, 6441, 540, 751, 45, 8, 26252, 7, 3994, 16, 932, 12, 2390, 15132, 1430, 16, 1797, 5, 507, 4240, 3, 18, 8929, 7040, 138, 4662, 507, 3301, 3, 18, 312, 32, 3233, 26, 20, 17269, 7, 11495, 507, 4314, 3, 18, 312, 32, 3233, 26, 20, 17269, 7, 11495, 507, 4327, 3, 18, 1079, 350, 21207, 77, 7, 507, 3916, 3, 18, 312, 32, 3233, 26, 20, 17269, 7, 11495, 507, 3264, 3, 18, 209, 7, 17, 15090, 13, 25804, 19036, 3, 18, 11375, 8200, 6, 9027, 13, 10256, 29360, 3, 18, 8627, 1079, 10689, 8893, 40, 23153, 957, 4305, 3, 18, 5762, 292, 5144, 957, 4928, 3, 18, 8627, 2549, 9429, 957, 6348, 3, 18, 8627, 2549, 9429, 957, 3076, 3, 18, 4599, 2501, 13521, 29696, 3, 18, 898, 189, 22101, 13, 21485, 957, 4560, 3, 18, 4599, 2501, 13521, 957, 4018, 3, 18, 4496, 22943, 957, 4198, 3, 18, 19850, 638, 226, 26923, 3, 18, 19850, 638, 226, 28623, 3, 18, 1003, 189, 22101, 13, 21485, 957, 2122, 3, 18, 3576, 16536, 157, 6029, 957, 2368, 3, 18, 4496, 22943, 24725, 3, 18, 4496, 22943, 957, 1808, 3, 18, 25313, 3617, 2434, 27827, 3, 18, 8627, 8200, 3455, 7377, 25439, 3, 18, 19850, 638, 226, 21402, 3, 18, 8571, 2549, 14154, 27521, 3, 18, 209, 7, 17, 1386, 106, 350, 8102, 120, 13978, 3, 18, 8627, 2715, 26534, 15, 957, 2658, 3, 18, 24421, 22943, 957, 2884, 3, 18, 209, 7, 17, 1386, 106, 19690, 9, 208, 6029, 957, 2773, 3, 18, 1003, 189, 22101, 13, 21485, 957, 2266, 3, 18, 4821, 9, 14420, 6289, 28484, 3, 18, 204, 727, 13291, 13362, 71, 7279, 957, 2688, 3, 18, 209, 7, 17, 1386, 106, 19690, 9, 208, 6029, 957, 2555, 3, 18, 1003, 189, 22101, 13, 21485, 29004, 3, 18, 1003, 189, 22101, 13, 21485, 27332, 3, 18, 4821, 9, 14420, 6289, 15559, 3, 18, 4821, 9, 14420, 6289, 957, 3341, 3, 18, 13962, 374, 2910, 957, 2668, 3, 18, 4821, 9, 14420, 6289, 26957, 3, 18, 1003, 189, 22101, 13, 21485, 28828, 3, 18, 4821, 9, 14420, 6289, 27710, 3, 18, 4821, 9, 14420, 6289, 27598, 3, 18, 204, 727, 13291, 13362, 71, 7279, 27456, 3, 18, 4821, 9, 14420, 6289, 25745, 3, 18, 1003, 189, 22101, 13, 21485, 957, 3288, 3, 18, 431, 189, 22101, 13, 5088, 1152, 63, 15830, 3, 18, 204, 727, 13291, 13362, 17269, 49, 935, 15, 24822, 3, 18, 209, 7, 17, 1, 37, 2390, 411, 3380, 3690, 3467, 19, 3, 9, 3366, 7813, 41, 29, 32, 5, 2838, 23335, 11728, 6, 3, 12895, 12, 8, 768, 13, 5322, 8758, 23, 41, 19587, 18227 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 1021, 8445, 7, 11, 3665, 376, 12, 3, 9, 1827, 1470, 718, 8, 8940, 3467, 6, 84, 865, 5147, 8, 332, 3398, 1813, 2, 17, 12197, 1208, 3450, 5, 37, 332, 3398, 1813, 2, 17, 12197, 1208, 3450, 31, 7, 3088, 21, 96, 18087, 8, 21039, 121, 11, 740, 3, 9, 2710, 13, 18963, 11, 7813, 47, 3133, 8560, 12, 8, 2379, 6718, 23, 138, 789, 16, 8940, 5, 5309, 6, 16, 2076, 4481, 2688, 6, 3, 88, 47, 3, 7, 13365, 11, 1215, 14528, 45, 445, 1024, 332, 6287, 57, 8, 6718, 23, 138, 5779, 5, 86, 1660, 957, 2688, 6, 3, 88, 435, 2119, 2476, 16, 1336, 32, 3, 4, 76, 3398, 309, 2, 75, 2329, 496, 86, 445, 122, 107, 2, 389, 5, 86, 1332, 957, 2555, 6, 3, 88, 2301, 12, 1138, 23, 5307, 12, 161, 6, 143, 3, 9, 840, 6, 11, 3884, 16, 389, 18740, 445, 1744, 63, 35, 496, 5, 216, 92, 2925, 2119, 2714, 5347, 277, 6, 3, 12550, 17554, 1014, 8, 16246, 9798, 3564, 11, 8, 18344, 800, 13, 12315, 5, 2070, 13, 175, 1087, 6, 16, 1762, 29004, 6, 3, 88, 47, 12744, 541, 45, 389, 18740, 496, 5, 611, 6, 3, 88, 2925, 12, 3884, 11, 17554, 342, 8, 9481, 45, 272, 85, 391, 2, 9, 6, 2106, 8202, 1, 1138, 17670, 5291, 29, 4708, 1191, 157, 41, 7473, 1797, 16047, 22471, 16, 4691, 4517, 1924, 6, 180, 7422, 6214, 839, 17457, 23, 9, 61, 19, 3, 9, 1798, 31275, 29, 18, 12636, 776, 9527, 23, 15710, 3370, 1959, 11, 230, 3, 9, 3370, 4192, 3763, 44, 3, 17345, 3, 2, 15, 8654, 9155, 2617, 5, 2911, 53, 1415, 1949, 4708, 1191, 157, 708, 112, 1415, 16, 8, 4192, 12025, 7, 13, 3, 17345, 3, 2, 15, 8654, 9155, 2617, 3725, 7814, 139, 8, 166, 372, 5, 611, 6, 7865, 28, 385, 1556, 6209, 6, 3, 88, 2301, 12, 377, 439, 312, 32, 2046, 4691, 4517, 1924, 213, 3, 88, 1632, 3, 9, 27701, 1766, 5715, 49, 16, 8, 6214, 839, 17457, 5212, 3815, 5, 216, 3725, 435, 112, 194, 223, 12, 3, 17345, 3, 2, 15, 8654, 9155, 2617, 11, 47, 46, 9074, 294, 13, 70, 21231, 16, 8, 166, 360, 9385, 13, 8, 2547, 31275, 3, 184, 9372, 6066, 2494, 9, 5, 3, 2092, 8, 7520, 774, 11, 8, 804, 5892, 1213, 16, 9155, 2617, 6, 3, 88, 47, 8, 4494, 420, 1766, 5715, 49, 544, 28, 309, 2, 15, 40, 138, 5291, 29, 4159, 3272, 15, 7168, 23, 2, 28, 220, 1766, 5, 37, 372, 14268, 92, 5799, 8, 163, 1288, 16, 8, 31275, 29, 3802, 804, 581, 377, 439, 18043, 19987, 9, 2740, 172, 521, 24, 1940, 112, 372, 70, 166, 1486, 2233, 5, 37, 826, 215, 3, 88, 2925, 28, 112, 207, 607, 116, 3, 2, 15, 8654, 9443, 70, 511, 1486, 16, 3, 9, 7358, 5, 1875, 6862, 44, 8, 97, 6, 112, 220, 52, 26, 774, 16, 3, 2, 15, 8654, 9193, 12, 36, 1574, 38, 168, 116, 3, 88, 751, 8, 1025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 72, 18827, 21, 2710, 145, 8, 6016, 3438, 13, 540, 3, 5, 1, 17261, 15, 26, 151, 2269, 3, 9, 689, 3, 5, 1, 79, 43, 582, 4336, 7, 3, 5, 1, 11, 132, 19, 3, 9, 306, 15834, 24, 34, 56, 6634, 70, 3055, 11, 20, 15, 26, 7, 16, 8, 647, 3, 5, 1, 1852, 3, 6, 2710, 5696, 7, 1461, 45, 8, 1453, 42, 1783, 2953, 57, 1817, 18591, 257, 13, 1487, 2731, 3, 5, 1, 68, 8, 25028, 1783, 19, 231, 2123, 145, 1223, 981, 8467, 3, 5, 1, 1879, 1170, 2684, 7, 323, 3, 117, 359, 1195, 470, 240, 326, 3, 5, 1, 7596, 3681, 51, 3493, 7, 116, 151, 217, 24, 8, 3, 2771, 1825, 7, 44, 8, 420, 13, 8, 22734, 11332, 8, 772, 13, 70, 161, 3, 5, 1, 10950, 2685, 7, 63, 2992, 8, 7982, 16, 2710, 3, 5, 1, 3, 16331, 150, 15748, 16, 2791, 38, 3, 63, 51, 5468, 3, 5, 1, 44, 8, 337, 97, 3, 6, 8, 2870, 581, 13100, 65, 165, 293, 7702, 21, 2710, 3, 6, 3, 63, 51, 2925, 3, 5, 1, 13, 8, 386, 3149, 13, 4831, 3, 6, 8, 8454, 13, 4081, 1058, 21, 66, 19, 8, 167, 1256, 21, 178, 12, 23334, 3, 5, 1, 8, 16, 15, 5566, 2020, 13, 4831, 42, 19372, 3, 6, 3, 99, 25, 114, 19, 3, 8317, 3, 9, 2268, 822, 3, 5, 1, 11, 492, 8, 19372, 2016, 12, 8, 5447, 3, 23, 92, 1099, 3, 9, 2268, 485, 3, 5, 1, 45, 69, 892, 62, 214, 24, 34, 19, 514, 12, 26000, 8, 1131, 5094, 3, 10, 3, 60, 8243, 7, 3, 6, 9357, 7, 3, 6, 30823, 7, 3, 6, 20269, 11, 78, 30, 3, 5, 1, 68, 19, 34, 487, 12, 610, 34, 3, 58, 1, 103, 62, 174, 430, 248, 3990, 397, 3, 58, 209, 11, 270, 541, 639, 430, 15137, 3, 26165, 29, 822, 3, 10, 113, 133, 36, 8, 14743, 3, 58, 204, 3, 16331, 4996, 95, 3, 9, 3, 19668, 3, 5, 1, 48, 5597, 3, 63, 51, 3, 9, 385, 3, 5, 1, 68, 692, 1327, 19, 8, 1786, 1182, 3, 6, 8, 10211, 243, 3, 5, 1, 479, 44, 376, 3, 6, 3, 63, 51, 4466, 28, 128, 1028, 9275, 7, 89, 4787, 24, 856, 3071, 47, 73, 9, 12186, 179, 3, 5, 1, 3, 16331, 7, 3107, 7, 130, 8714, 3, 6, 11, 132, 47, 20327, 16, 8, 194, 3, 88, 5468, 3, 5, 1, 68, 424, 1659, 1096, 3, 63, 51, 15240, 376, 12, 36, 20917, 3, 5, 1, 4273, 3, 6, 3, 27341, 3, 6, 25, 33, 269, 3, 5, 1, 8, 2870, 581, 13100, 19, 1316, 3, 6, 150, 822, 81, 34, 3, 5, 1, 8, 490, 962, 19, 149, 3, 5, 1, 225, 62, 24584, 731, 18, 6254, 53, 4298, 224, 38, 2117, 7326, 7, 3, 6, 42, 225, 62, 456, 44, 8, 420, 3, 6, 3, 20424, 284, 11, 334, 6323, 11, 1144, 13, 20417, 3, 58, 1, 38, 623, 38 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 3, 31, 31, 1, 3, 2, 3, 15, 6736, 398, 43, 118, 6139, 81, 160, 3, 6, 3, 31, 31, 3, 23, 243, 3, 6, 1631, 255, 47, 8, 773, 13, 2335, 3, 88, 3, 31, 26, 2396, 12, 2396, 3, 5, 1, 3865, 3, 5, 1, 853, 63, 3, 5, 1, 11, 3, 6, 3, 23, 816, 3, 6, 38, 3, 23, 3, 29, 15437, 8, 414, 13, 3, 9, 7706, 13, 15725, 3, 6, 3, 9, 75, 1169, 11719, 3, 5, 1, 3, 9230, 7, 15, 63, 150, 15748, 5, 3, 2, 1, 3, 31, 2935, 4164, 3, 31, 19, 8, 1448, 21, 34, 3, 5, 1, 3, 88, 1858, 160, 3, 6, 3, 23, 317, 3, 5, 1, 16, 112, 194, 3, 5, 3, 31, 31, 1, 3, 23, 2299, 95, 44, 160, 3, 6, 15725, 22653, 2957, 165, 409, 1167, 23, 2234, 414, 3, 5, 1, 3, 2, 25, 3, 31, 60, 2261, 3, 58, 3, 31, 31, 1, 3, 23, 228, 3, 29, 31, 17, 3034, 3, 15, 6736, 16, 333, 3, 6, 3, 15, 6736, 3, 8035, 112, 4879, 323, 3, 5, 1, 3, 23, 133, 3, 29, 31, 17, 43, 3, 11917, 376, 3919, 13, 2019, 53, 841, 631, 12, 752, 8, 388, 1096, 376, 20584, 190, 3, 5, 1, 168, 3, 6, 3578, 21, 273, 10088, 360, 4413, 28, 140, 3, 6, 11, 3, 88, 470, 3776, 1095, 81, 273, 3, 5, 1, 3, 2, 38, 3208, 18, 7, 4914, 2261, 3, 6, 3, 31, 31, 3, 9230, 7, 15, 63, 243, 3, 5, 1, 3, 2, 116, 3, 88, 5723, 149, 1101, 255, 47, 3, 18, 255, 3, 31, 7, 3, 4094, 3, 9, 182, 1101, 3, 8118, 3, 18, 3, 88, 808, 160, 365, 112, 3, 3108, 3, 5, 1, 227, 24, 3, 6, 79, 130, 4259, 544, 3, 5, 3, 31, 31, 1, 255, 3, 342, 430, 14987, 1329, 13, 30459, 3, 5, 1, 3, 2, 79, 130, 114, 3, 233, 3, 4667, 1225, 484, 989, 7, 3, 6, 114, 128, 9532, 447, 19270, 1158, 3, 5, 1, 79, 130, 786, 544, 3, 6, 68, 3, 31, 31, 3, 18, 3, 9230, 7, 15, 63, 3, 7, 20978, 160, 819, 3, 18, 3, 2, 255, 47, 66, 1786, 21, 376, 3, 5, 3, 31, 31, 1, 3, 2, 572, 3, 31, 7, 24, 3, 58, 3, 31, 31, 1, 3, 2, 3, 15, 6736, 523, 841, 315, 145, 24, 3, 5, 1, 3, 88, 523, 3, 9, 3202, 113, 3, 31, 195, 1518, 95, 12, 376, 3, 6, 113, 3, 31, 195, 1921, 376, 3, 5, 1, 841, 12, 143, 376, 394, 3, 6, 72, 3, 5, 1, 59, 841, 113, 3, 31, 195, 17387, 112, 38, 7, 6786, 18, 12521, 87, 7, 6190, 11, 12543, 12, 334, 385, 12939, 3, 88, 656, 3, 5, 3, 31, 31, 1, 255, 1580, 26, 140, 3, 7576, 83, 1528, 120, 3, 5, 1, 3, 23, 4682, 8, 3, 122, 40, 12174, 16, 160, 2053, 3, 6, 3, 7, 20978, 82, 819, 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 ]
[ 12, 169, 16, 8, 804, 1751, 11, 54, 3807, 72, 57, 6549, 18243, 746, 5, 3, 2092, 97, 26, 14419, 6, 79, 164, 1903, 3, 9, 822, 57, 2145, 96, 138, 6977, 346, 17, 1950, 1280, 1485, 2068, 1698, 4233, 288, 16, 919, 65, 209, 1962, 12, 1525, 38, 186, 746, 38, 487, 6, 28, 8, 2024, 4269, 66, 1849, 28, 8, 337, 2068, 5, 37, 6336, 4805, 166, 6, 11, 3, 9, 315, 2068, 19, 7173, 21, 284, 4233, 288, 5, 555, 511, 19, 974, 12, 8, 4233, 288, 31, 7, 6702, 21, 334, 2024, 1525, 5, 2506, 2068, 4435, 4895, 19, 12022, 12, 8, 166, 1751, 6, 3578, 24, 66, 13, 3, 9, 4233, 288, 31, 7, 2024, 4269, 56, 414, 28, 8, 337, 787, 2068, 5, 14362, 5487, 71, 3295, 19, 2650, 6, 11, 284, 4233, 288, 19, 787, 3, 9, 356, 13, 2332, 7, 3, 13215, 12, 3, 9, 1657, 24, 7307, 34, 5, 328, 33, 787, 3, 9, 2411, 13, 386, 11354, 7, 6, 11, 43, 386, 3978, 12, 3531, 227, 284, 11354, 5, 5175, 3745, 8, 2332, 7, 6549, 30, 8, 166, 11354, 6120, 874, 3978, 117, 30, 8, 511, 11354, 6, 386, 117, 11, 30, 8, 1025, 11354, 6, 80, 5, 2759, 5897, 33, 1944, 6, 28, 284, 4233, 288, 578, 80, 919, 399, 3295, 11, 8, 6336, 373, 1556, 166, 5, 486, 8, 414, 13, 8, 1751, 6, 8, 1921, 52, 28, 8, 7402, 792, 97, 30, 70, 6702, 19, 17809, 5, 156, 132, 19, 3, 9, 6177, 21, 7402, 97, 6, 3, 9, 96, 14672, 2068, 121, 6177, 23149, 822, 19, 1944, 30, 8, 15886, 49, 12, 2082, 113, 15895, 6, 28, 150, 3978, 44, 8474, 5, 21564, 6808, 5487, 21564, 6808, 5487, 33, 2639, 44, 6504, 11, 2681, 16, 20688, 1950, 455, 5, 555, 12, 7, 7, 18, 413, 822, 19, 1380, 30, 8, 15886, 49, 21, 284, 2068, 16, 455, 6, 84, 4657, 38, 8, 166, 2068, 13, 165, 1525, 5, 2759, 3978, 33, 5539, 21, 284, 2024, 1525, 6, 298, 3, 9, 3041, 14038, 7, 8, 4233, 288, 91, 13, 8, 416, 822, 5, 1447, 66, 1179, 746, 43, 118, 1380, 6, 8, 1921, 52, 28, 8, 1364, 2604, 19, 17809, 5, 86, 495, 13, 3, 9, 6177, 6, 3, 9, 96, 14672, 2068, 121, 6177, 23149, 19, 1944, 38, 274, 5, 8706, 504, 3035, 282, 13, 939, 192, 6, 8, 4080, 1921, 52, 8519, 8, 6336, 16, 48, 1751, 5, 37, 4233, 2366, 854, 80, 13, 3, 324, 1, 6942, 9, 3781, 440, 19, 3, 9, 312, 3478, 15, 7, 15, 1946, 1928, 45, 1821, 6830, 6, 5710, 16, 7273, 57, 15049, 15, 51, 374, 9, 23, 346, 7, 7, 5, 6942, 9, 3781, 440, 31, 7, 869, 19, 3, 9, 4764, 13, 5791, 12380, 6, 2437, 11, 17956, 1946, 3, 24431, 28, 4551, 7345, 11, 312, 6451, 630, 12702, 723, 1280, 304, 48, 414, 6, 8, 1928, 6300, 7, 8, 281, 2296, 17, 5253, 139, 165, 723, 5, 634, 1928, 31, 7, 166, 3100, 2306, 6, 2809, 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 ]
[ 121, 11, 24, 3, 88, 96, 8399, 12, 1749, 34, 91, 12, 129, 91, 13, 34, 535, 736, 138, 8758, 4190, 3, 60, 13159, 26, 71, 7762, 11537, 920, 2963, 4397, 28, 4023, 6542, 16, 12598, 86, 2464, 3, 88, 1883, 112, 511, 6729, 1941, 2466, 6, 84, 4510, 8, 712, 7, 96, 21106, 1029, 3234, 2203, 9, 1686, 96, 21106, 28, 584, 5, 196, 5, 254, 535, 6, 96, 134, 155, 17, 77, 31, 16, 499, 1184, 121, 11, 96, 308, 13419, 7, 86, 37, 1761, 535, 3, 15683, 5984, 16135, 7, 7520, 10, 71, 7762, 11537, 920, 2963, 4397, 41, 566, 28236, 107, 87, 9939, 5937, 23, 9, 61, 2464, 10, 2466, 41, 188, 1982, 8758, 4190, 61, 7871, 7, 9047, 10, 96, 29873, 2792, 3, 9, 19998, 121, 8388, 10, 96, 11161, 3540, 4804, 17, 121, 7520, 10, 96, 196, 31, 51, 8333, 2936, 121, 4402, 10, 96, 6838, 1651, 121, 2464, 10, 96, 2703, 10544, 106, 121, 41, 89, 1544, 5, 3, 3698, 5631, 524, 11, 3, 13286, 309, 14872, 61, 2464, 10, 96, 21106, 438, 584, 5, 196, 5, 254, 535, 2464, 10, 96, 134, 155, 17, 77, 22, 86, 499, 1184, 121, 14252, 3179, 7, 9957, 10, 96, 3774, 1725, 2042, 7, 1029, 465, 8352, 121, 41, 7152, 8, 2621, 83, 15, 2306, 14816, 8925, 8388, 10, 96, 279, 32, 32, 1491, 32, 3642, 7, 121, 41, 7152, 8, 6236, 3, 189, 9, 21867, 15, 15, 1546, 3972, 13306, 35, 2306, 465, 5882, 21, 24920, 61, 8388, 10, 96, 519, 21465, 18000, 15, 121, 41, 7152, 8, 19786, 8012, 11, 6920, 10825, 23, 15, 10825, 2306, 20708, 12, 20708, 61, 7520, 10, 96, 1, 16823, 9426, 7, 19, 46, 367, 2013, 14543, 3, 390, 16, 8, 907, 6524, 5, 37, 349, 47, 2127, 16, 2766, 57, 4117, 18649, 739, 31, 7, 16823, 1531, 6, 11, 16, 3105, 47, 2944, 57, 7143, 9426, 7, 5, 86, 1671, 7218, 4071, 9373, 16634, 6, 11, 8, 758, 372, 6, 3510, 57, 1290, 346, 302, 25943, 12790, 11, 19466, 5826, 937, 3, 9, 3334, 2814, 11, 8408, 2642, 12, 380, 8, 11140, 9125, 1298, 770, 758, 805, 18, 670, 5, 5528, 25275, 365, 4117, 18649, 739, 31, 7, 16823, 11662, 16, 2766, 6, 16823, 9426, 7, 1632, 3, 9, 20438, 13, 7143, 9426, 7, 16, 3105, 5, 611, 16823, 9426, 7, 2697, 8, 16823, 564, 5, 328, 916, 12, 161, 4799, 28, 8, 16823, 1531, 5, 9373, 16634, 6, 7174, 13, 29459, 9426, 7, 6, 1632, 3, 16143, 2578, 13, 16823, 9426, 7, 16, 1515, 10986, 978, 6870, 1553, 3, 9, 1516, 1059, 13, 28298, 6, 84, 1285, 12147, 53, 8, 29459, 9426, 7, 1056, 28, 24, 13, 16823, 9426, 7, 5, 37, 3, 21726, 349, 3334, 321, 1623, 57, 1784, 4890, 1286, 16823, 31, 7, 3053, 16, 8, 367, 2393, 11, 29459, 9426, 7, 22, 4842, 455, 351, 5, 86, 1718, 7218, 16823, 9426, 7, 751, 8, 2760, 21, 27434, 13, 8, 215, 44, 8, 1331, 9426, 7729, 28565, 13, 8, 2929, 6580, 5, 86, 1671, 7218, 1290, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6007, 3, 51, 553, 102, 18, 102, 61, 8662, 18, 715, 26, 3459, 1250, 3, 13272, 449, 610, 12, 8, 2104, 134, 7105, 26, 748, 28, 119, 335, 350, 2360, 87, 7, 3459, 7, 7105, 26, 6730, 28, 119, 335, 350, 2360, 87, 7, 21427, 6438, 20156, 257, 13, 505, 115, 11476, 115, 3, 35, 9886, 37, 826, 19, 3, 9, 570, 13, 8, 779, 6085, 13, 3, 4, 517, 4, 134, 11, 3, 4, 6727, 196, 10, 37, 9042, 3, 4, 7381, 196, 196, 1881, 17, 3868, 54, 36, 3, 19435, 344, 8, 419, 31739, 3325, 18270, 11, 8, 276, 15761, 41, 21682, 3760, 61, 12, 7237, 120, 4285, 8, 1722, 1535, 13, 8, 3, 4, 7381, 196, 196, 11, 1428, 8, 3459, 4522, 3476, 45, 9455, 12, 10128, 37, 3, 4, 7381, 196, 196, 19, 4997, 139, 662, 50, 1496, 28, 284, 3, 8102, 11770, 53, 3, 9, 331, 3, 32, 75, 17, 15, 17, 42, 610, 1848, 30, 284, 3023, 13, 8, 1968, 6702, 5, 37, 1391, 3, 4, 517, 4, 134, 5755, 7, 57, 1422, 30, 46, 3, 4, 7381, 196, 196, 3, 8102, 139, 3, 9, 1044, 3, 75, 11863, 6, 10501, 6, 505, 115, 11476, 115, 23734, 26, 331, 6093, 5, 1698, 13, 8, 662, 3, 4, 7381, 196, 196, 50, 1496, 19, 19751, 640, 80, 13, 8, 662, 3, 4, 6727, 196, 50, 1496, 5, 37, 1391, 1, 3926, 19376, 2590, 19, 3, 9, 3309, 11, 3095, 14961, 16, 8, 28666, 13, 20777, 2590, 6, 26849, 6, 2789, 2050, 26, 12, 8, 4653, 13, 8, 71, 519, 344, 20777, 2590, 11, 2737, 7, 1846, 25044, 13, 1524, 11, 25044, 13, 20777, 2590, 5, 3926, 19376, 2590, 963, 8, 415, 2197, 13, 262, 9, 9525, 6, 13268, 17, 3706, 6, 7005, 3186, 11, 2776, 17, 5981, 5, 5528, 37, 3309, 405, 59, 2385, 16, 8, 531, 2687, 1135, 3086, 13, 335, 3840, 117, 983, 6, 13268, 17, 3706, 388, 127, 16, 8, 5727, 13, 8, 14961, 11, 8222, 7, 1748, 388, 127, 6, 131, 12, 8, 4653, 13, 8, 14961, 6, 3, 9, 623, 18, 7, 670, 107, 294, 13, 5306, 324, 1483, 6, 103, 2385, 5, 37, 564, 166, 3475, 16, 586, 1755, 6, 38, 23499, 400, 7, 2590, 6, 11, 3475, 16, 3, 9, 1196, 13, 3323, 882, 4012, 6826, 7, 24546, 5, 37, 511, 3282, 6, 3, 18, 2590, 6, 19, 1044, 18, 994, 3767, 6546, 6, 68, 8, 3, 15, 17, 63, 51, 1863, 13, 8, 96, 134, 14983, 109, 18, 121, 3282, 19, 21050, 5, 555, 5113, 19, 24, 34, 19, 45, 3525, 1566, 3, 7, 8433, 3297, 3, 31, 9, 3, 7, 14983, 109, 31, 6, 2361, 28, 2848, 12, 3, 9, 3741, 261, 12, 3052, 16, 12529, 8, 4033, 5, 3, 16508, 6, 132, 164, 43, 118, 46, 73, 144, 23775, 3525, 1566, 31268, 1429, 7, 8433, 3297, 3, 31, 7, 15416, 63, 6, 6044, 31, 45, 8, 6269, 13, 8, 3525, 1566, 7375, 3, 7, 8433, 1608, 3, 31, 235, 8944, 31, 6, 2361, 28, 2848, 12, 8 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23, 23, 26, 9, 15, 17993, 5287, 9, 2650, 57, 7291, 472, 2, 40, 276, 7, 15, 76, 26, 32, 6941, 40, 8280, 15, 1, 2143, 52, 127, 1483, 9553, 7, 32, 1395, 19, 3, 9, 3, 729, 302, 13, 22440, 6779, 15, 7, 4262, 12, 8, 2557, 11, 8282, 5824, 7087, 7, 5, 3, 7727, 725, 290, 33, 1083, 204, 4771, 3244, 16, 48, 3, 729, 302, 10, 2143, 52, 127, 1483, 9553, 7, 32, 1395, 5350, 63, 1033, 173, 302, 4452, 210, 1171, 6, 28828, 41, 382, 2781, 4995, 7, 29, 670, 22440, 6779, 61, 2143, 52, 127, 1483, 9553, 7, 32, 1395, 3, 2414, 11895, 8329, 32, 14888, 6, 26957, 41, 382, 2781, 4995, 7, 29, 670, 61, 17881, 7, 2255, 1313, 31702, 2032, 15, 7, 7899, 2495, 17993, 5287, 9, 2650, 57, 7780, 101, 15, 26, 4452, 210, 1171, 1, 272, 5990, 2961, 23, 9, 19, 3, 9, 3, 729, 302, 13, 3, 32, 3109, 509, 26, 14094, 3302, 3247, 16, 8, 384, 6400, 2246, 12416, 9, 15, 5, 94, 19, 1077, 3, 3406, 3113, 12, 2051, 11, 368, 5725, 6, 11, 19, 15439, 12, 36, 1385, 2399, 5, 37, 3, 729, 302, 47, 3028, 16, 15465, 11, 2650, 227, 19690, 40, 2551, 2910, 60, 272, 5990, 2961, 6, 8, 166, 703, 21878, 12, 43, 3, 9, 307, 6028, 28, 8, 778, 1611, 3, 29547, 13, 2051, 5, 6783, 12, 1673, 6, 1296, 3244, 130, 3028, 16, 2051, 5, 290, 33, 1083, 627, 3244, 13, 272, 5990, 2961, 23, 9, 5, 272, 5990, 2961, 23, 9, 164, 36, 8, 336, 1176, 16884, 295, 3, 729, 302, 13, 8, 10162, 20260, 447, 41, 232, 230, 1215, 19827, 61, 689, 545, 13, 6400, 2246, 221, 9, 6, 84, 47, 3, 9, 12613, 689, 545, 13, 3, 32, 3109, 509, 26, 16, 529, 18, 12181, 15, 13818, 16, 8, 5895, 17, 3302, 1162, 5, 1610, 92, 272, 5990, 2961, 23, 9, 403, 8792, 159, 41, 18304, 26, 63, 6, 507, 3840, 61, 3, 104, 1013, 2051, 272, 5990, 2961, 23, 9, 1207, 152, 1478, 32, 32, 374, 10809, 2304, 6, 15465, 3, 104, 3782, 2051, 272, 5990, 2961, 23, 9, 6894, 397, 2961, 35, 7, 159, 11163, 35, 7, 3, 15, 17, 491, 5, 6, 1673, 3, 104, 3782, 2051, 6, 6435, 509, 63, 29, 15, 272, 5990, 2961, 23, 9, 576, 106, 26, 4899, 35, 7, 159, 11163, 35, 7, 3, 15, 17, 491, 5, 6, 1673, 3, 104, 3782, 2051, 6, 16536, 1047, 9, 272, 5990, 2961, 23, 9, 123, 35, 7, 159, 11163, 35, 7, 3, 15, 17, 491, 5, 6, 1673, 3, 104, 3782, 2051, 6, 14224, 40, 1478, 29, 272, 5990, 2961, 23, 9, 3, 75, 63, 122, 29, 302, 11163, 35, 7, 3, 15, 17, 491, 5, 6, 1673, 3, 104, 3782, 2051, 6, 18041, 3460, 272, 5990, 2961, 23, 9, 2515, 76, 297, 9, 11163, 35, 7, 3, 15, 17, 491, 5, 6, 1673, 3, 104, 3782, 2051, 6, 26347, 2370, 17, 272, 5990, 2961, 23, 9, 3, 122, 9803, 76, 3801, 159, 11163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 9, 1962, 865, 3, 6, 8, 24766, 18, 3995, 1167, 53, 388, 3666, 3, 5, 1, 3, 88, 6377, 3138, 8, 1365, 539, 11, 150, 15748, 21, 135, 12, 1482, 190, 3, 5, 1, 3, 2, 3102, 765, 49, 56, 217, 25, 230, 3, 5, 3, 31, 31, 1, 6397, 63, 739, 11, 3, 7, 2551, 107, 708, 12, 1130, 70, 2290, 3, 31, 7, 17374, 3, 6, 68, 2278, 9, 15, 40, 10888, 26, 3, 5, 1, 132, 47, 150, 487, 194, 24, 765, 49, 131, 2817, 12, 36, 44, 48, 1128, 3, 6, 3, 9, 18595, 29, 11986, 16, 8, 2214, 13, 3, 9, 6677, 63, 5353, 3, 5, 1, 8, 388, 3776, 12, 1254, 112, 3228, 7, 3, 5, 1, 3, 2, 1009, 95, 4907, 3, 6, 3, 31, 31, 8, 4024, 3, 4246, 11196, 3, 6, 38, 3, 99, 3, 88, 3, 31, 26, 4503, 62, 1208, 13, 4461, 16, 280, 3, 5, 1, 3, 2, 3, 32, 107, 3, 6, 3, 31, 31, 2278, 9, 15, 40, 11318, 13721, 120, 3, 5, 1, 3, 88, 877, 590, 28, 112, 803, 190, 8, 1365, 11, 323, 3, 9, 307, 24409, 24, 1632, 1245, 52, 18, 202, 7, 10733, 4898, 3, 6, 1434, 49, 2383, 18, 232, 394, 4996, 8, 25300, 79, 3, 6412, 3, 6, 24766, 388, 28743, 53, 135, 45, 1187, 3, 5, 1, 3, 88, 1207, 5100, 21, 135, 12, 919, 646, 3, 6, 258, 269, 3, 6, 258, 323, 633, 7534, 13, 12295, 3, 6, 8, 8242, 73, 16376, 3, 5, 1, 2031, 3, 6, 3, 88, 2237, 8, 563, 190, 430, 1365, 3, 6, 323, 430, 24409, 3, 6, 11, 139, 3, 9, 422, 562, 28, 3, 9, 6079, 1481, 8527, 641, 4996, 95, 3, 5, 1, 2278, 9, 15, 40, 808, 16, 3, 9, 1704, 6522, 3, 6, 112, 17703, 4095, 35, 53, 3, 6, 116, 3, 88, 1509, 8, 6079, 522, 13, 3102, 765, 49, 2213, 53, 44, 135, 3, 5, 1, 160, 2164, 1268, 3, 6, 160, 13433, 2053, 3, 6, 8, 4265, 320, 3, 6, 38, 3, 99, 255, 228, 608, 39, 1659, 222, 3376, 3, 5, 1, 3, 2, 2561, 3, 6, 3, 31, 31, 70, 2290, 3, 31583, 3, 5, 1, 132, 47, 3, 9, 307, 953, 3, 8623, 57, 3, 25412, 6406, 3, 5, 1, 406, 3, 9, 1448, 3, 6, 2278, 9, 15, 40, 11, 112, 803, 3, 7, 144, 323, 3, 5, 1, 3, 88, 4944, 24, 3, 7, 2551, 107, 11, 6397, 63, 739, 130, 1119, 12, 1792, 1580, 574, 28, 8, 2335, 30, 8, 1481, 3, 5, 1, 38, 3, 99, 255, 130, 3, 29, 31, 17, 27505, 631, 3, 6, 2278, 9, 15, 40, 816, 3, 6, 230, 255, 47, 6672, 2186, 145, 280, 3, 6, 21994, 53, 756, 135, 3, 5, 1, 3, 88, 14206, 8, 239, 255, 764, 12, 217, 376, 3, 6, 4828, 3, 6, 227, 3, 88, 3, 31, 26, 17101, 29, 15, 26, 16, 2714, 3, 9325, 739, 3, 31, 7, 643, 3, 5, 1, 2492 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 6, 3, 1927, 120, 29, 29, 3, 6, 25, 3, 31, 60, 3, 9, 3811, 26, 5219, 3, 99, 3, 23, 43, 12, 1605, 91, 21, 25, 3, 5, 1, 281, 3, 5, 1, 1096, 3, 5, 3, 31, 31, 1, 160, 4247, 877, 4095, 68, 255, 4910, 3, 23998, 3, 5, 1, 3, 88, 14115, 15, 26, 160, 885, 12, 112, 596, 3, 6, 13128, 53, 160, 38, 79, 1964, 26, 12, 8, 851, 13, 8, 12268, 3, 6, 18269, 8, 9808, 3, 6, 4549, 334, 7994, 2195, 11, 59, 2342, 3, 9, 589, 91, 13, 8, 9495, 3, 5, 1, 44, 8, 1247, 13, 8, 3372, 2245, 3, 6, 3, 88, 1604, 1361, 731, 16, 160, 3, 2741, 3, 6, 3, 2, 320, 16, 8, 8355, 8453, 3, 5, 1, 132, 3, 31, 7, 46, 996, 4740, 3342, 7420, 132, 3, 5, 3, 31, 31, 1, 3, 88, 3, 31, 26, 118, 1459, 12, 428, 34, 12, 160, 116, 79, 646, 3, 6, 11, 230, 31277, 26, 3, 88, 141, 3, 29, 31, 17, 612, 34, 14159, 12, 143, 417, 255, 2124, 149, 12, 169, 34, 3, 5, 1, 3, 2, 3, 9, 3, 122, 4029, 3, 5, 1, 103, 25, 214, 149, 12, 4279, 3, 58, 3, 31, 31, 1, 3, 2, 33, 25, 29744, 3, 58, 3, 31, 31, 1, 255, 17387, 15, 26, 112, 18312, 614, 11, 1006, 3, 5, 1, 3, 2, 3, 23, 3, 31, 51, 45, 3, 10354, 9, 7, 3, 5, 1, 34, 3, 31, 7, 3, 9, 1052, 13, 6064, 3, 5, 3, 31, 31, 1, 3, 2, 2725, 631, 3, 5, 1, 103, 3, 29, 31, 17, 36, 7403, 12, 169, 34, 3, 5, 3, 31, 31, 1, 132, 47, 3, 29, 31, 17, 97, 21, 959, 72, 3, 5, 1, 237, 713, 3, 88, 1114, 12, 428, 160, 3, 9, 9611, 119, 9561, 7, 12, 1049, 550, 45, 3196, 11, 12, 6081, 3377, 3, 5, 1, 7927, 3, 6, 3, 88, 3, 31, 26, 114, 160, 5697, 16, 3, 9, 22855, 49, 3, 5, 1, 68, 112, 200, 36, 17, 47, 22895, 53, 8, 5888, 274, 34, 530, 3461, 1084, 160, 3, 5, 1, 8, 511, 3, 88, 1943, 8, 1365, 885, 1187, 160, 3, 6, 3, 88, 5658, 15, 26, 112, 992, 12, 8, 3124, 3, 6, 8, 1262, 3, 5, 1, 3, 9, 1835, 15825, 3, 52, 2999, 1361, 8, 3231, 30, 8, 3124, 3, 6, 2898, 53, 3, 9, 12114, 13, 7994, 7, 12, 8, 1591, 38, 8, 21803, 23585, 26, 223, 12, 3596, 3, 5, 1, 17227, 34, 3, 6, 3, 99, 3, 88, 3, 31, 26, 3, 7483, 8, 443, 1180, 14159, 3, 6, 3, 88, 133, 43, 141, 160, 91, 13, 270, 3, 5, 1, 572, 141, 3, 29, 31, 17, 3, 88, 5723, 14159, 24, 116, 3, 88, 3, 31, 26, 3, 60, 20300, 26, 8, 3, 122, 102, 7, 1463, 49, 12, 1299, 326, 12153, 11639, 7, 3, 6, 3, 88, 3, 31, 26, 990, 3, 9, 579, 18787, 24, 21146 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13588, 5, 389, 29603, 13, 20336, 8, 597, 5661, 47, 2639, 21, 8, 46, 189, 1863, 1648, 797, 15175, 7, 8574, 26690, 5984, 8840, 161, 493, 6134, 220, 308, 10, 96, 134, 202, 2009, 350, 31, 566, 1599, 18, 427, 536, 121, 41, 9, 6, 28, 4116, 17, 24095, 11, 8279, 11628, 6, 46, 189, 1863, 6, 11690, 6, 3, 30841, 749, 11868, 7, 3, 184, 2180, 179, 7, 41, 210, 87, 9, 6, 859, 119, 3153, 6, 3, 20885, 1688, 6, 368, 24589, 6, 6260, 6, 3, 61, 2011, 51, 1106, 152, 15, 41, 210, 87, 9, 61, 10, 3931, 31, 7, 12316, 7, 16, 8, 2011, 51, 1106, 152, 15, 41, 782, 18, 11159, 6, 205, 651, 102, 1225, 3373, 6, 5247, 61, 2011, 51, 1106, 152, 15, 7172, 10086, 41, 23, 52, 60, 122, 4885, 765, 287, 447, 1790, 30, 10729, 651, 9208, 31, 7, 11, 1212, 144, 2989, 31, 3395, 6, 2766, 104, 22594, 61, 7597, 13538, 1534, 162, 5206, 10, 5574, 3720, 53, 7, 10, 96, 31141, 3720, 53, 121, 41, 152, 189, 1863, 7693, 3714, 6, 3, 4314, 1688, 6, 4407, 6, 3, 61, 5777, 9982, 1602, 7172, 4525, 41, 210, 87, 9, 6, 205, 651, 102, 1225, 3373, 41, 4663, 6982, 11, 8787, 1433, 13, 86, 157, 41, 4663, 7412, 9120, 6, 2766, 104, 24898, 61, 419, 23137, 57, 7597, 13538, 6, 38, 5777, 9982, 1602, 41, 17, 102, 115, 6, 3, 23459, 1688, 6, 3888, 6, 3, 61, 419, 23137, 57, 6298, 38, 5777, 9982, 1602, 10, 37, 8510, 41, 17, 102, 115, 6, 3, 20885, 1688, 6, 5123, 3, 61, 1212, 144, 2989, 3373, 1212, 144, 2989, 41, 210, 87, 9, 6, 46, 189, 1863, 61, 10, 96, 566, 1, 4027, 107, 23, 164, 36, 10, 46, 2433, 19590, 13, 3497, 3464, 282, 3, 9, 244, 4350, 71, 5, 480, 5, 4027, 107, 23, 6, 6697, 23, 24694, 5648, 15, 15, 51, 4027, 107, 23, 6, 6697, 23, 2291, 11, 9994, 1318, 2002, 4027, 107, 23, 6, 6697, 23, 18096, 49, 12877, 8130, 9, 4027, 107, 23, 6, 6697, 23, 20622, 1, 37, 597, 20884, 10929, 1150, 7666, 7, 41, 18899, 10038, 61, 19, 46, 15347, 194, 13, 3, 25956, 8, 296, 31, 7, 200, 1038, 6028, 3370, 372, 6, 338, 3, 9, 7673, 18, 670, 2233, 358, 1126, 12, 24, 261, 16, 771, 1367, 53, 5, 37, 3, 18899, 10038, 47, 4727, 1601, 11, 1790, 57, 1566, 9994, 1838, 3899, 16, 3888, 5, 37, 2233, 19, 1083, 1213, 57, 1410, 6, 113, 751, 34, 45, 6436, 30, 335, 1797, 460, 2658, 5, 23023, 37, 800, 6269, 2726, 5330, 45, 128, 8288, 2675, 11, 6795, 13, 8, 783, 3, 1927, 1765, 120, 15376, 53, 24, 38, 79, 3853, 2789, 41, 8903, 141, 751, 8, 20658, 1150, 3802, 61, 16, 3, 9, 2390, 1210, 7666, 1588, 30, 627, 1186, 18148, 318, 8532, 7002, 727, 31, 7, 166, 1453, 227, 70, 23129, 1150, 3802, 6224, 318, 11056, 130, 8, 96, 5110, 20884, 1150, 15132, 1280, 86, 3888, 14823, 9994, 1838, 3899, 4802, 8, 2219, 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 ]
[ 5, 1, 255, 3, 31, 7, 966, 114, 3, 9, 861, 3, 6, 3, 6319, 12, 240, 124, 13, 6257, 11, 3, 23, 473, 8032, 21, 160, 3, 6, 490, 2610, 24, 132, 33, 78, 186, 151, 3, 31, 7, 1342, 24, 43, 118, 3, 28121, 57, 1147, 2618, 11, 3, 23, 3337, 149, 186, 72, 132, 33, 3, 5, 1, 3, 23, 3, 31, 51, 3823, 30, 8, 6452, 3, 6, 1119, 12, 1605, 8, 4390, 11, 59, 317, 81, 66, 8, 5129, 3, 23, 3, 31, 51, 7865, 28, 3, 6, 68, 66, 3, 23, 54, 103, 19, 992, 30, 1240, 226, 11, 317, 81, 149, 3, 23, 103, 3, 29, 31, 17, 241, 376, 12, 281, 3, 5, 1, 3, 88, 1330, 738, 3, 6, 983, 3, 6, 3, 107, 23434, 3, 9, 2324, 365, 112, 6522, 38, 3, 88, 50, 2319, 112, 10427, 3, 5, 1, 3, 2, 3, 23, 103, 3, 29, 31, 17, 317, 25, 225, 281, 2238, 3, 6, 3, 31, 31, 3, 23, 2031, 497, 3, 6, 5074, 326, 8, 4390, 3, 5, 1, 3, 2, 3, 23, 225, 281, 28, 25, 3, 5, 1, 3, 23, 3, 31, 51, 3, 9, 3, 10477, 230, 3, 6, 78, 3, 23, 3, 31, 51, 59, 1551, 19930, 3, 5, 3, 31, 31, 1, 3, 88, 10762, 3, 9, 10821, 139, 8, 6743, 13, 112, 14118, 11, 15246, 95, 8, 19472, 13, 112, 307, 18, 7, 109, 15, 162, 8677, 3, 6, 1517, 140, 3, 9, 207, 15937, 13, 112, 90, 152, 7654, 3, 5, 1, 3, 2, 150, 194, 3, 5, 3, 31, 31, 1, 3, 2, 25, 410, 3, 29, 31, 17, 217, 140, 44, 8, 13243, 3, 5, 3, 31, 31, 1, 3, 23, 1102, 1512, 16, 851, 13, 376, 38, 3, 88, 3, 31, 7, 3214, 91, 13, 8, 562, 3, 5, 1, 3, 2, 3, 23, 19206, 26, 128, 779, 1687, 3, 24063, 38, 7, 3, 5, 3, 31, 31, 1, 3, 88, 2053, 140, 147, 45, 819, 12, 12, 15, 3, 5, 1, 3, 2, 25, 214, 125, 3, 6, 25, 54, 281, 3, 99, 25, 241, 3, 5, 1, 25, 3, 31, 60, 3, 9, 3, 10477, 230, 3, 6, 11, 48, 56, 36, 207, 1032, 21, 25, 3, 5, 1, 25, 54, 36, 82, 320, 670, 3, 6, 237, 713, 3, 23, 3, 31, 51, 417, 82, 2353, 2275, 3, 29, 31, 17, 504, 95, 3, 5, 1, 68, 394, 1346, 145, 8032, 3, 6, 269, 3, 58, 1, 11, 3, 15262, 3, 6, 3, 23, 241, 25, 1084, 140, 44, 66, 648, 3, 5, 1, 3, 23, 3, 31, 51, 59, 417, 3, 23, 3, 31, 195, 43, 3, 9, 964, 819, 3, 99, 25, 3, 31, 60, 59, 132, 3, 5, 3, 31, 31, 1, 3, 2, 25, 3, 31, 60, 373, 2145, 24, 3, 6, 3, 31, 31, 3, 23, 817, 376, 3, 6, 6237, 8, 11872, 12, 17387, 376, 3, 5, 1, 34, 3, 31, 7, 118, 966, 662, 477, 437, 3, 23, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 77, 1306, 3028, 376, 38, 3, 9, 207, 561, 2388, 15, 68, 80, 113, 47, 1153, 23504, 57, 2622, 45, 1508, 11, 2675, 5, 96, 3845, 1943, 762, 976, 3038, 439, 77, 1306, 243, 5, 96, 196, 17, 808, 112, 6145, 326, 8, 467, 5, 94, 321, 3737, 376, 78, 231, 24, 79, 2031, 141, 12, 1472, 376, 227, 1296, 203, 535, 10511, 280, 86, 10247, 6, 6193, 646, 561, 2388, 53, 11, 808, 3, 9, 442, 16, 1085, 28, 8, 276, 89, 15, 99, 1010, 3004, 3108, 1958, 16, 11901, 5, 216, 865, 1279, 16, 452, 5836, 21, 8, 3, 26138, 3004, 3108, 1958, 11, 16964, 38, 3, 9, 4390, 1670, 1016, 21, 8, 13160, 2557, 7, 5, 6193, 92, 576, 18, 11982, 1054, 3, 9, 2100, 2772, 504, 28, 901, 71, 3383, 348, 13, 18548, 683, 18, 4562, 41, 15829, 8484, 61, 16, 11901, 5, 12358, 6193, 3977, 30, 1332, 12370, 12701, 6, 16, 8327, 6, 2599, 5, 17881, 7, 957, 3076, 3879, 7, 12701, 14319, 13160, 2557, 7, 6456, 52, 7, 9236, 3815, 22398, 6878, 277, 9236, 3815, 22398, 561, 2388, 15, 7, 5716, 16588, 45, 1117, 5089, 1, 6176, 53, 3526, 3655, 19, 3, 9, 12481, 18, 4084, 939, 4767, 586, 4233, 2366, 16, 3, 9, 6723, 3875, 2259, 16, 662, 3119, 16, 8, 907, 1323, 5, 12330, 7, 130, 283, 53, 332, 7, 9, 23, 6, 2457, 2770, 107, 40, 348, 11, 17607, 1566, 5, 37, 504, 47, 2546, 190, 3, 22202, 23631, 5, 37, 4668, 6, 20413, 19905, 152, 18, 518, 88, 40, 8738, 6, 47, 787, 3, 9, 6380, 1102, 44, 80, 13, 17607, 1566, 31, 7, 368, 1060, 896, 3661, 5, 37, 504, 3, 2378, 26, 21, 80, 774, 5, 17881, 7, 26241, 2416, 6176, 53, 3526, 3655, 475, 2766, 7, 797, 3875, 4390, 939, 3105, 797, 4390, 939, 5695, 7, 3105, 797, 4390, 939, 7784, 7, 1, 37, 868, 3815, 5933, 18, 18699, 7666, 47, 3, 9, 4233, 344, 2323, 12166, 16, 8, 511, 3, 3276, 13, 1634, 1343, 16, 8, 907, 6524, 5, 16651, 130, 3, 31801, 139, 662, 7, 6, 28, 80, 2564, 52, 45, 284, 372, 16, 284, 1964, 5, 37, 8969, 11, 511, 286, 13, 284, 563, 5978, 21, 8, 7666, 16, 8, 804, 5, 94, 47, 801, 38, 8, 868, 3815, 5933, 18, 18699, 7666, 45, 16164, 552, 5541, 6, 11, 38, 8, 2390, 3815, 6022, 2759, 5933, 18, 18699, 7666, 45, 9957, 552, 7520, 6, 19124, 8, 315, 3056, 261, 21, 8, 5533, 5, 86, 7273, 6, 3, 9, 126, 2259, 718, 8, 6552, 3815, 5933, 18, 18699, 7666, 5821, 48, 5533, 5, 611, 250, 4889, 209, 11, 204, 3, 21726, 21, 8, 7273, 11, 6911, 9385, 6, 8, 605, 47, 661, 38, 8, 163, 5933, 7, 10183, 5, 1029, 6622, 34, 3, 60, 19825, 223, 12, 46, 605, 21, 3, 3276, 192, 2323, 163, 5, 18125, 7, 1610, 92, 6792, 13, 907, 6524, 9913, 1343, 5933, 7, 15132, 9913, 1343, 16, 8, 907, 6524, 17881, 7, 9913, 1343, 2259, 7, 16, 8, 907, 6524, 1, 12716 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 29, 630, 16, 4588, 9, 23, 7356, 23, 6, 4623, 5, 94, 19, 1069, 16, 8, 4653, 13, 8, 3, 9669, 23, 5, 37, 616, 13, 8, 3939, 19, 3, 5, 94, 7, 6601, 1530, 19, 8, 4150, 415, 485, 41, 9, 161, 7025, 61, 13, 6942, 9527, 15, 7, 107, 1559, 1258, 5, 29659, 10, 37, 2074, 13, 6942, 9527, 15, 7, 107, 1559, 1258, 3744, 21, 6862, 5, 5953, 13, 8, 3939, 31, 7, 792, 2074, 5, 961, 5984, 6942, 9527, 15, 7, 107, 1559, 5352, 3570, 19, 1069, 16, 8, 24155, 13, 4588, 9, 23, 7356, 23, 6, 30, 2667, 7572, 13, 8, 480, 83, 202, 3515, 5021, 855, 13, 8, 1244, 925, 346, 5288, 16323, 5, 8718, 13, 8, 8282, 4947, 13, 8, 3939, 19, 8, 10433, 13, 2154, 480, 83, 1106, 77, 17869, 63, 15, 5, 290, 33, 147, 460, 11709, 18, 7, 2920, 63, 11, 1434, 3552, 17721, 16, 8, 3939, 5, 2154, 480, 2295, 1598, 17869, 839, 6, 8, 511, 2015, 6957, 6, 65, 7590, 3136, 7, 11, 22146, 3, 11557, 7, 5, 37, 480, 83, 1106, 9, 2473, 14428, 16, 3, 9, 1148, 6, 387, 13880, 6080, 45, 5727, 12, 4653, 640, 8, 3457, 13, 8, 3939, 6, 274, 6364, 53, 139, 2154, 480, 83, 1106, 77, 17869, 63, 15, 5, 37, 4484, 7, 33, 4216, 4484, 7, 11, 7518, 1001, 4484, 7, 6, 28, 508, 15637, 13, 14364, 6, 20422, 6, 11, 3, 7, 232, 5, 16943, 19, 3510, 30, 24675, 5944, 7, 6, 6013, 3, 3651, 5, 5170, 13, 8, 3939, 5, 6942, 9527, 15, 7, 107, 1559, 5352, 3570, 19, 3, 15239, 2280, 4653, 13, 8, 3518, 690, 13, 14267, 9, 83, 6, 11, 3547, 15348, 2280, 5727, 13, 15363, 5, 37, 616, 3629, 6897, 2280, 41, 29, 127, 189, 18, 7, 670, 107, 201, 11, 11989, 2280, 41, 12425, 18, 11535, 3670, 792, 616, 19, 6180, 9295, 2280, 357, 41, 7932, 3, 5406, 13, 4588, 9, 23, 7356, 23, 137, 37, 6601, 1530, 19, 8, 1511, 13, 6942, 9527, 15, 7, 107, 1559, 1258, 5, 37, 3939, 19, 4947, 15, 26, 30, 8, 3457, 57, 1923, 63, 15, 17, 5352, 3570, 6, 30, 8, 25806, 57, 2474, 15, 208, 5352, 3570, 6, 30, 8, 5727, 57, 1027, 19649, 9, 5850, 5352, 3570, 6, 30, 8, 3414, 57, 8222, 77, 5352, 3570, 6, 11, 30, 8, 4653, 57, 480, 83, 1106, 77, 5352, 3570, 5, 17881, 7, 2507, 7, 9149, 7, 3570, 7, 13, 4588, 9, 23, 7356, 23, 1, 37, 3576, 262, 5, 10498, 1384, 11, 5740, 51, 23, 9, 15934, 19, 3, 9, 785, 16, 10498, 9727, 6, 1013, 5089, 6, 24, 47, 2616, 30, 8, 412, 5, 134, 5, 868, 12306, 13, 19923, 3399, 7, 16, 9957, 5, 37, 629, 47, 1192, 16, 507, 2517, 5, 17881, 7, 1384, 7, 30, 8, 868, 12306, 13, 19923, 3399, 7, 16, 1013, 5089, 1384, 7, 2012, 16, 507, 2517, 1384, 7, 16, 10498, 9727, 6, 1013, 5089, 868, 12306, 13, 19923, 3399, 7, 16, 1920, 40, 6029, 1334, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 31, 7, 207, 12, 217, 25, 541, 3, 5, 3, 31, 31, 1, 3, 2, 11, 25, 3, 6, 82, 1565, 3, 6, 3, 31, 31, 8, 12966, 18606, 3, 5, 1, 3, 2, 11, 48, 398, 36, 39, 3062, 3, 5, 1, 255, 19, 3061, 3, 5, 3, 31, 31, 1, 443, 9, 1800, 6257, 27323, 53, 38, 255, 9593, 51, 1462, 26, 3, 6, 3, 2, 2763, 25, 3, 6, 2353, 3, 5, 3, 31, 31, 1, 298, 3, 1859, 2618, 11, 8, 12966, 5468, 3, 6, 443, 9, 18233, 5402, 3, 7, 2551, 107, 36, 189, 3, 6, 113, 2299, 182, 1134, 16, 3, 9, 2198, 18, 19457, 158, 1836, 11021, 3270, 11, 8150, 18915, 3, 5, 1, 3, 2, 25, 320, 26305, 3, 6, 443, 9, 3, 6, 3, 31, 31, 3, 7, 2551, 107, 36, 189, 243, 3, 5, 1, 3, 2, 33, 25, 10045, 3, 58, 3, 31, 31, 1, 3, 2, 3, 9, 385, 3, 5, 3, 31, 31, 1, 3, 7, 2551, 107, 36, 189, 24524, 3, 5, 1, 3, 2, 3, 23, 214, 3, 6, 3, 23, 47, 3, 6, 396, 3, 6, 68, 25, 3, 31, 195, 2612, 66, 24, 116, 25, 217, 4671, 565, 3, 5, 1, 3157, 63, 11, 3, 9, 1158, 13, 8, 294, 18, 715, 10989, 45, 8, 3595, 33, 270, 3, 5, 3, 31, 31, 1, 3, 7, 2551, 107, 36, 189, 15963, 26, 300, 3, 5, 1, 3, 2, 48, 19, 3, 9, 786, 286, 3, 5, 1, 983, 410, 25, 253, 34, 3, 58, 3, 31, 31, 1, 3, 2, 82, 1362, 130, 4464, 270, 3, 6, 3, 31, 31, 443, 9, 243, 3, 5, 1, 3, 2, 3, 32, 107, 3, 6, 3, 31, 31, 3, 7, 2551, 107, 36, 189, 1215, 20471, 3, 6, 3, 2, 24, 3, 31, 7, 78, 7966, 3, 55, 3, 31, 31, 1, 3, 2, 33, 62, 1065, 3, 58, 3, 31, 31, 1, 8, 12966, 1380, 3, 5, 1, 3, 2, 8, 13060, 19, 2794, 3, 5, 3, 31, 31, 1, 443, 9, 3993, 26, 3, 5, 1, 3, 2, 182, 1065, 3, 5, 3, 31, 31, 1, 28, 3, 9, 150, 26, 3, 6, 8, 12966, 877, 12, 240, 112, 286, 44, 8, 23509, 3, 5, 1, 443, 9, 158, 3737, 190, 8, 3377, 24, 2237, 139, 8, 23739, 3, 6, 59, 53, 24, 8, 158, 210, 7, 11, 8, 23509, 130, 3, 19619, 45, 11586, 3, 117, 8, 4898, 47, 3, 9, 1659, 1692, 3, 5, 1, 4671, 565, 3, 31, 7, 384, 141, 641, 4363, 3, 5, 1, 112, 4806, 18, 77, 18, 4207, 3, 6, 3, 102, 15817, 3, 26459, 3, 6, 3, 7, 144, 44, 8, 3640, 3, 6, 1556, 1835, 120, 3, 5, 1, 14788, 2242, 3353, 8, 23739, 28, 3, 9, 1978, 7069, 16507, 3, 6, 3598, 8, 8519, 13, 8, 5726, 12647, 7, 3, 6, 68, 443, 9, 141, 2053, 163, 21, 4671, 565, 3, 5, 1, 255, 141, 373, 816, 376, 8, 167, 22989, 13, 1076, 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 ]
[ 31, 1, 3, 88, 11, 3, 29, 2407, 141, 118, 2508, 3, 58, 1, 3, 2, 68, 258, 3, 6, 39, 4806, 92, 243, 25, 3, 31, 26, 36, 72, 4034, 28, 39, 12676, 32, 51, 6833, 3, 5, 3, 31, 31, 1, 3, 2, 125, 405, 24, 1243, 3, 58, 3, 31, 31, 1, 3, 26, 10365, 4399, 26, 3, 5, 1, 3, 2, 25, 3, 31, 60, 80, 6083, 326, 45, 1577, 3, 9, 8948, 139, 69, 15854, 3, 5, 1, 68, 39, 7, 133, 43, 2946, 192, 6189, 2286, 3414, 13, 3, 447, 49, 6390, 3, 6, 18905, 8, 872, 1687, 3, 18, 3, 9, 10451, 47, 1625, 232, 24, 237, 25, 133, 43, 8565, 12529, 3, 5, 3, 31, 31, 1, 3, 2, 258, 149, 410, 25, 253, 140, 3, 58, 3, 31, 31, 1, 3, 2, 80, 13, 39, 13619, 47, 3, 7, 547, 11196, 8988, 3, 5, 1, 34, 3, 7, 14471, 114, 3, 9, 54, 29, 106, 11925, 190, 8, 13243, 3, 6, 11, 47, 3, 9, 27834, 21, 140, 3, 5, 3, 31, 31, 1, 116, 9593, 3327, 19206, 26, 82, 7022, 3, 233, 3, 2, 3, 23, 2946, 82, 293, 8948, 1461, 12, 25, 270, 3, 5, 3, 31, 31, 1, 3, 88, 8744, 16, 8, 2357, 3, 6, 12, 46, 17986, 13, 17443, 26, 799, 24, 3, 60, 115, 27829, 8, 2191, 2983, 3, 5, 1, 255, 3, 7, 20978, 160, 819, 3, 16827, 17, 3834, 3, 5, 1, 3, 2, 82, 3, 5630, 8155, 12676, 32, 51, 6833, 3, 29, 27627, 3, 6, 48, 405, 3, 29, 31, 17, 143, 1254, 3, 5, 1, 572, 133, 79, 241, 140, 3, 58, 1, 82, 2039, 47, 5109, 699, 26, 21, 3, 12663, 12, 5781, 3, 13658, 51, 1106, 3, 5, 3, 31, 31, 1, 3, 2, 59, 5109, 699, 26, 3, 6, 26236, 26, 3, 5, 1, 68, 8, 3, 867, 60, 130, 396, 2971, 1329, 13, 3, 13658, 51, 1106, 12, 16054, 3, 5, 1, 902, 728, 14915, 3, 7, 2132, 9, 47, 2767, 11, 79, 2124, 13, 150, 80, 12, 3601, 160, 3, 5, 1, 79, 43, 3, 9, 2297, 16, 3, 7, 2132, 9, 3, 31, 7, 564, 230, 3, 5, 3, 31, 31, 1, 3, 2, 3, 32, 107, 3, 5, 3, 31, 31, 1, 224, 3, 9, 14915, 120, 1525, 3, 5, 1, 68, 12, 36, 2725, 3, 6, 48, 47, 28254, 3, 5, 1, 3, 2, 1749, 3, 5, 1, 79, 2124, 13, 150, 80, 12, 3601, 160, 3, 58, 3, 31, 31, 1, 3, 2, 34, 47, 29387, 12, 2516, 39, 564, 3, 5, 1, 227, 3, 9, 360, 11653, 3, 6, 126, 9298, 410, 3, 29, 31, 17, 237, 214, 34, 3, 5, 3, 31, 31, 1, 3, 88, 3, 14417, 4645, 12, 160, 3, 6, 230, 12143, 1922, 550, 3, 5, 1, 3, 2, 68, 79, 103, 230, 3, 5, 1, 11, 79, 19902, 25, 3, 5, 3, 31, 31, 1, 3, 2, 2662, 8603, 3, 6, 132, 43, 118, 396, 186, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21353, 10937, 1564, 5, 2855, 11, 1415, 5531, 19, 3, 9, 7434, 5213, 13, 8, 636, 13, 10212, 104, 329, 9, 26, 23, 739, 6, 11, 2012, 160, 3657, 5, 308, 5, 16, 16164, 44, 19796, 636, 5, 451, 47, 3, 9, 5812, 13, 3, 11599, 44, 6144, 1015, 636, 21, 147, 604, 203, 6, 28, 97, 30, 1175, 38, 3, 9, 478, 2743, 44, 8, 868, 2854, 2941, 6, 552, 28434, 12, 582, 3, 9, 5812, 3, 15, 526, 10694, 5, 31110, 5531, 47, 8160, 38, 3, 9, 16344, 13, 8, 797, 15576, 3467, 41, 28231, 61, 16, 6260, 6, 227, 3, 9, 13588, 45, 8, 3, 28231, 18059, 138, 1531, 30, 28464, 16317, 297, 3, 184, 29390, 7762, 3672, 7, 6, 96, 1161, 7548, 12, 8, 1057, 13, 306, 3161, 6124, 3, 5628, 1859, 15652, 6, 11, 21, 11723, 12341, 16, 20913, 11, 16, 3830, 13, 534, 13105, 485, 1280, 451, 19, 92, 3, 9, 152, 6328, 188, 16344, 6, 8160, 16, 9047, 5, 451, 47, 2650, 3, 9, 18908, 3, 9, 5171, 29, 9, 13, 8, 636, 13, 10212, 104, 329, 9, 26, 23, 739, 3, 11599, 478, 21, 1230, 104, 11505, 5, 17881, 7, 2929, 13, 3879, 3586, 41, 24257, 151, 61, 5753, 151, 797, 3, 6941, 7, 447, 343, 7, 797, 887, 3, 6941, 7, 447, 343, 7, 13828, 4768, 636, 13, 10212, 104, 329, 9, 26, 23, 739, 10644, 19796, 636, 10644, 6144, 1015, 636, 6040, 16344, 7, 13, 8, 797, 15576, 3467, 16344, 7, 13, 8, 3, 9546, 1489, 3467, 1401, 7, 17, 18, 14006, 797, 887, 1, 14362, 45, 1660, 460, 2658, 6, 306, 1611, 13854, 793, 1807, 1596, 708, 20215, 1113, 53, 8, 907, 6524, 5, 6984, 12, 3, 9, 2711, 13, 73, 30786, 4616, 6, 379, 3, 7, 26605, 2173, 13, 1807, 16, 3826, 6, 29055, 1807, 1899, 45, 4623, 12, 8, 1611, 3212, 6, 731, 1807, 1519, 102, 699, 7, 6, 11, 3, 9, 939, 13, 15568, 7, 44, 796, 4850, 2465, 6, 3674, 16, 8, 907, 6524, 7865, 10856, 5386, 16, 1807, 1596, 5, 10907, 7, 6, 6637, 688, 6, 11, 1623, 8976, 30, 4146, 22122, 130, 66, 3, 18229, 5, 37, 5362, 2953, 128, 2755, 4422, 6603, 16, 8, 907, 6524, 12, 281, 91, 13, 268, 6, 3, 13403, 966, 192, 770, 3674, 38, 13, 968, 1797, 460, 2658, 5, 23142, 7, 37, 2329, 1137, 13, 8, 594, 3098, 7, 65, 118, 3, 9, 18787, 16, 8, 13854, 594, 13, 793, 1807, 4388, 5, 23610, 1899, 163, 3792, 81, 13152, 13, 8, 907, 6524, 31, 7, 523, 6, 298, 8, 880, 19, 17376, 45, 14245, 53, 1440, 6, 224, 38, 16491, 11, 8, 12023, 6, 11, 856, 3, 9, 1846, 16, 21936, 11, 8, 907, 1323, 6, 11, 4623, 4471, 300, 3, 2712, 13, 8, 1270, 512, 5, 6435, 1596, 4659, 57, 944, 6932, 344, 1762, 11, 1600, 460, 2658, 6, 28, 3, 9, 14719, 3098, 16, 8, 847, 13, 1660, 2238, 5, 37, 594, 993, 47, 2953, 57, 3, 9, 1252, 18787, 16, 2173, 38, 8, 296, 10399 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 52, 26, 1386, 106, 16233, 6, 16098, 13, 25215, 6, 68, 65, 118, 8473, 11, 4760, 633, 648, 437, 258, 5, 94, 19, 8520, 13, 7944, 28, 3, 3198, 40, 291, 9847, 7, 11, 65, 508, 3, 107, 15437, 6080, 6428, 26, 2955, 28, 3, 9, 2667, 420, 5, 94, 19, 1192, 12, 3, 9, 8401, 7154, 63, 1486, 9872, 515, 13, 305, 57, 220, 10210, 7, 28, 9987, 11, 44, 1225, 5, 94, 19, 15319, 45, 8, 414, 13, 8, 3309, 711, 2815, 190, 3, 9, 21, 15, 14492, 28, 220, 28407, 7, 41, 14034, 3, 7256, 16, 8, 13518, 11, 47, 5330, 3, 8623, 57, 3, 9, 1148, 2288, 144, 5, 5528, 8627, 3576, 16233, 15, 6, 16778, 13, 8, 1384, 13, 7155, 7, 6, 141, 3907, 8, 2052, 16, 898, 1828, 6, 227, 84, 34, 141, 2804, 323, 12, 18050, 23, 15, 40, 16233, 6, 113, 3977, 16, 1003, 2658, 28, 150, 502, 5, 216, 646, 8, 2052, 12, 112, 248, 18, 29, 15, 102, 88, 210, 2549, 13672, 76, 6, 5220, 21, 14695, 3208, 1483, 11, 1336, 2341, 2590, 5, 2549, 263, 186, 6867, 12, 8, 629, 11, 9808, 5, 461, 112, 1687, 16, 1003, 3707, 8, 785, 2804, 12, 112, 12685, 6, 8, 23661, 8627, 8200, 10507, 1306, 18, 9168, 2408, 76, 6, 5220, 13, 10507, 1306, 2501, 6, 19830, 5, 216, 3977, 16, 1003, 4241, 11, 112, 2512, 6, 8, 9443, 4346, 8571, 3790, 10507, 1306, 13672, 76, 6, 3, 9, 215, 865, 6, 3140, 368, 4243, 26, 781, 2029, 41, 2780, 150, 540, 61, 12, 70, 3, 49, 3569, 520, 6, 8, 1111, 1171, 8200, 10507, 1306, 13672, 76, 5, 216, 1916, 8, 629, 16, 1003, 3708, 12, 726, 112, 9531, 2814, 7, 11, 2301, 12, 619, 16, 8, 4551, 1932, 5, 37, 629, 47, 15627, 4157, 57, 8, 205, 5672, 3961, 18, 15537, 2916, 102, 384, 552, 8, 460, 189, 2646, 5, 938, 8, 957, 189, 2646, 6, 983, 6, 8, 740, 47, 271, 261, 38, 3, 9, 3, 20907, 24979, 11, 3, 60, 4350, 26, 2501, 4990, 5, 86, 19201, 34, 36, 23629, 16, 919, 12, 1363, 5, 446, 5, 517, 5, 11471, 157, 12546, 11, 112, 520, 15498, 5, 17881, 7, 6993, 4790, 16, 26956, 5718, 13027, 27, 2616, 3950, 16, 26956, 5718, 1, 11712, 22357, 22943, 901, 5131, 9, 2866, 41, 7473, 1003, 1186, 5541, 61, 19, 46, 3, 22808, 15, 771, 3370, 49, 113, 4805, 38, 3, 9, 3, 3108, 49, 21, 3, 8313, 15644, 3431, 4922, 2176, 9, 5, 15151, 901, 5131, 9, 2866, 530, 112, 2991, 1415, 18953, 28, 3, 9, 662, 18, 1201, 10783, 28, 486, 40, 17678, 509, 4734, 29, 2975, 6, 578, 1944, 21, 9144, 2, 7, 44, 4192, 593, 5, 216, 47, 166, 2301, 139, 8, 166, 18, 11650, 21, 8, 2464, 104, 1714, 3794, 29, 15, 32, 3, 22808, 32, 205, 2066, 6, 68, 4567, 12, 1451, 38, 8, 1886, 130, 14742, 12, 3794, 29, 15, 32, 3, 22808, 32, 272, 5, 901, 5131, 9, 2866, 263, 112, 166, 3179, 7, 383, 8 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 216, 3, 16678, 44, 8, 1690, 13, 8, 1626, 89, 7, 23, 26, 21893, 13, 22564, 6, 891, 2, 377, 2, 52, 159, 3, 2, 8952, 26, 491, 18, 2, 188, 172, 2, 172, 491, 18, 329, 76, 17, 7396, 8511, 173, 6, 8, 915, 161, 5, 37, 4948, 7347, 57, 48, 161, 16, 8, 9217, 296, 47, 1126, 12, 24, 13, 8, 13849, 29, 5190, 7, 5, 7185, 13, 8, 484, 37, 1915, 89, 76, 2726, 5072, 19, 10431, 13, 46, 5302, 2348, 57, 1401, 16175, 5, 3, 19685, 8, 166, 2379, 22770, 3701, 8627, 4117, 28316, 41, 8903, 15459, 8, 1499, 45, 8, 2379, 988, 61, 428, 8, 1401, 7, 17, 5800, 5, 86, 175, 192, 7314, 7, 6, 8, 484, 19, 81, 910, 1688, 307, 5, 18921, 37, 2291, 11308, 7, 601, 21, 578, 787, 178, 8, 5565, 7, 13, 333, 18, 5239, 5, 216, 845, 24, 601, 414, 9200, 887, 28, 2790, 12, 6512, 1076, 12, 143, 333, 12, 135, 5, 216, 845, 24, 1076, 43, 3, 9, 793, 18724, 21, 8, 333, 13, 887, 5, 216, 845, 24, 3, 88, 19, 3, 9, 10148, 6, 24, 132, 19, 163, 80, 601, 11, 24, 26276, 19, 112, 19421, 5, 216, 845, 24, 3, 88, 19, 8, 14620, 13, 601, 5, 216, 845, 24, 3, 88, 2832, 48, 484, 16, 22564, 21, 8, 2698, 1813, 702, 52, 5, 216, 845, 24, 3, 88, 141, 8807, 112, 161, 139, 315, 16175, 12, 143, 34, 1842, 12, 608, 11, 734, 5, 8647, 1, 1923, 332, 7, 4606, 18, 75, 9270, 41, 117, 2170, 2059, 1718, 23992, 61, 19, 3, 9, 14441, 15, 7, 15, 24694, 3122, 38, 2761, 13, 8, 5750, 13, 1473, 41, 382, 9, 23, 3877, 61, 437, 7887, 11, 3150, 45, 3581, 12, 12598, 216, 47, 8, 13404, 13, 8, 10021, 27113, 3450, 16, 3105, 11, 45, 1673, 12, 5832, 1923, 2098, 38, 5116, 13, 10071, 12, 1661, 15570, 14565, 23, 18, 12032, 16, 4406, 5, 216, 3433, 8, 511, 18, 15599, 7, 17, 26405, 16, 8, 309, 6158, 6, 227, 368, 2262, 221, 26405, 5, 1923, 8609, 2066, 15, 26, 21, 8, 309, 6158, 13074, 13588, 16, 2628, 6, 68, 2369, 511, 12, 4937, 454, 2452, 107, 5, 1923, 3725, 3, 19526, 28, 454, 2452, 107, 38, 8, 6444, 13074, 21077, 117, 8, 309, 6158, 1513, 12, 8, 3695, 32, 1109, 8967, 4142, 13, 1534, 3, 476, 53, 18, 1924, 1063, 11, 14212, 292, 210, 5, 1923, 4037, 21, 17612, 855, 23, 896, 12394, 16, 1671, 8693, 68, 1513, 12, 8, 28406, 1626, 76, 301, 425, 18, 3180, 57, 3, 9, 13364, 2700, 6346, 5, 1923, 2066, 15, 26, 21, 8, 1673, 13074, 16621, 4710, 13, 8, 309, 6158, 16, 8558, 68, 1513, 12, 332, 7, 9, 23, 86, 122, 18, 210, 35, 57, 3, 9, 182, 5658, 6346, 5, 6851, 8, 1453, 13, 332, 7, 9, 23, 12, 1534, 3, 476, 53, 18, 1924, 1063, 6, 1923, 47, 8160, 12, 7229, 332, 7, 9, 23, 38, 309, 6158, 13404, 16, 7033, 1923, 6, 590, 28 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3746, 5826, 30110, 6, 11, 28020, 5, 86, 368, 5725, 6, 205, 5, 3, 5840, 49, 17, 739, 23, 23, 163, 6986, 30, 8, 1117, 2834, 2199, 1, 12264, 15049, 10652, 41, 30404, 12074, 25439, 16, 8854, 3, 104, 1882, 7836, 2038, 16, 8687, 61, 47, 3, 9, 5824, 18194, 13188, 11, 3145, 5, 978, 10900, 9837, 963, 128, 13, 8, 8854, 616, 31, 7, 72, 3, 28766, 3950, 11, 4856, 5, 37, 797, 2548, 13, 3, 16768, 7, 41, 9822, 188, 61, 3028, 112, 1075, 38, 3, 9, 3518, 13188, 11, 20622, 38, 578, 263, 1516, 7548, 12, 96, 532, 2346, 13, 8854, 11, 8, 18194, 6, 11, 30, 8, 6945, 13, 4648, 535, 8840, 280, 6, 1073, 6, 11, 1415, 12896, 16, 8854, 12, 21894, 11, 4338, 16096, 6, 15049, 10652, 3, 4774, 95, 3414, 13, 8854, 11, 1869, 633, 203, 28, 112, 2576, 2947, 138, 384, 16, 7538, 77, 6, 5308, 5, 621, 20220, 53, 45, 8854, 31, 7, 3121, 1846, 1592, 1121, 3, 88, 7463, 3867, 21, 3, 9, 215, 274, 14569, 12, 4648, 6, 12127, 3, 9, 10199, 13, 14706, 45, 8, 636, 13, 2386, 16, 24466, 5, 3, 2092, 1150, 1602, 2466, 6, 3, 88, 1279, 38, 3, 9, 6488, 7, 348, 28, 8, 5034, 2575, 14716, 9293, 11, 28, 8854, 13188, 1838, 21564, 63, 5, 621, 8, 615, 3, 88, 7463, 44, 8, 13199, 14383, 1121, 13, 1642, 365, 13171, 3796, 15405, 302, 11, 19560, 3004, 7014, 6, 47, 16, 8, 337, 853, 38, 27, 5, 329, 5, 1276, 23, 6, 11, 9461, 28, 3, 9, 14119, 13, 14706, 16, 25021, 5, 15049, 10652, 1279, 21, 901, 4331, 71, 138, 235, 16, 5053, 274, 7646, 12, 8854, 213, 3, 88, 1279, 21, 13346, 9, 3706, 2659, 77, 24927, 2194, 2618, 739, 41, 14972, 279, 683, 61, 25021, 104, 2294, 4177, 5, 8381, 112, 166, 215, 132, 6, 3, 9, 15049, 10652, 18, 15281, 629, 751, 46, 2760, 11851, 57, 37, 8854, 5324, 11, 8, 415, 7833, 188, 828, 5, 86, 23992, 3, 88, 2127, 112, 166, 1669, 57, 17992, 628, 16, 8, 828, 13, 1565, 4496, 4574, 7, 15, 117, 544, 79, 2127, 8, 10900, 5654, 13, 15049, 10652, 3, 184, 4574, 7, 15, 6, 3, 16768, 7, 2863, 4177, 104, 26937, 7318, 6, 28, 101, 8893, 40, 2129, 17, 17, 38, 80, 778, 3490, 6, 11, 865, 11772, 32, 40, 83, 76, 18, 390, 15049, 10652, 6, 4574, 7, 15, 11, 332, 10432, 6, 3, 16768, 7, 5, 86, 20236, 15049, 10652, 11, 4574, 7, 15, 12494, 6, 28, 15049, 10652, 166, 14355, 38, 12264, 15049, 10652, 3, 184, 1958, 6, 3, 16768, 7, 6, 865, 38, 15049, 10652, 28331, 8146, 1171, 3, 16768, 7, 28, 3222, 25378, 28331, 11, 4117, 8146, 1171, 6, 258, 92, 28, 12345, 159, 419, 1050, 7287, 7, 38, 15049, 10652, 87, 4168, 17330, 87, 23351, 1171, 87, 1649, 1050, 21346, 7, 3, 16768, 7, 5, 86, 5541, 8410, 29, 15, 7040, 106, 9, 9781, 1632, 3, 9, 2397, 5, 938, 7520, 15049, 10652, 11, 66, 119, 3, 10920 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 255, 243, 3, 6, 3, 2, 230, 3, 5, 3, 31, 31, 1, 1187, 8, 1365, 132, 47, 3, 9, 5827, 3, 5, 1, 1633, 2943, 3, 26402, 91, 3, 6, 3, 52, 2999, 697, 528, 29, 29, 63, 3, 31, 7, 6044, 1268, 581, 160, 18312, 3, 5, 1, 34, 5949, 15, 26, 114, 1248, 2856, 3, 5, 1, 3, 2, 8581, 3, 6, 3, 31, 31, 243, 528, 29, 29, 63, 3, 5, 1, 3, 2, 168, 3, 6, 369, 30, 3, 6, 3, 31, 31, 185, 26, 60, 63, 243, 3, 6, 19795, 53, 160, 3923, 16641, 17315, 16, 3, 9, 17374, 13, 25929, 3, 5, 1, 3, 2, 62, 429, 38, 168, 129, 34, 147, 28, 3, 5, 3, 31, 31, 1, 3, 2, 34, 3, 31, 7, 396, 10088, 3, 6, 3, 31, 31, 528, 29, 29, 63, 243, 38, 79, 3, 14417, 1096, 3, 18, 670, 1583, 3, 5, 1, 3, 2, 20, 15, 3, 31, 7, 2923, 47, 3, 9, 562, 3, 6, 44, 709, 3, 5, 1, 68, 48, 3, 233, 3, 31, 31, 79, 130, 30, 8, 3, 31473, 7, 13, 3, 9, 2164, 5827, 30, 3, 9, 3, 7, 8745, 53, 9956, 3, 5, 1, 756, 135, 8, 706, 5796, 47, 3, 7, 929, 210, 29, 28, 4811, 231, 4038, 11, 2756, 49, 145, 8, 2102, 528, 29, 29, 63, 1086, 1509, 45, 160, 3, 17493, 3749, 11278, 3, 5, 1, 3, 9, 8114, 13, 4621, 4294, 47, 6937, 3, 5, 1, 8, 1365, 141, 3, 7, 40, 265, 2726, 11, 19803, 3, 6, 13, 503, 3, 6, 38, 1116, 38, 79, 3, 14417, 190, 3, 5, 1, 1187, 528, 29, 29, 63, 130, 140, 9, 15198, 7, 11, 26126, 7, 3, 117, 274, 160, 3, 9, 3, 17, 19834, 3294, 13, 6242, 18, 19699, 17041, 7, 11, 3, 30271, 3, 5, 1, 8, 3567, 130, 2238, 30, 8, 9956, 16, 8, 8114, 2242, 3, 5, 1, 3, 2, 230, 125, 3, 58, 3, 31, 31, 1, 185, 26, 60, 63, 243, 3, 6, 3, 7, 15123, 53, 1006, 19916, 302, 120, 3, 5, 1, 3, 2, 103, 3, 29, 31, 17, 25, 214, 3, 58, 1, 34, 3, 31, 7, 39, 19400, 18, 4188, 3, 26, 60, 210, 34, 3, 5, 3, 31, 31, 1, 3, 2, 3, 23, 3, 26, 60, 210, 3, 9, 1554, 13, 140, 2101, 8, 13081, 725, 10173, 11, 2342, 34, 11460, 3, 6, 3, 31, 31, 185, 26, 60, 63, 243, 3, 5, 1, 3, 2, 24, 3, 31, 7, 82, 6025, 19400, 3, 5, 1, 103, 3, 29, 31, 17, 320, 44, 140, 24, 194, 18, 7, 21714, 19, 8139, 145, 3918, 3, 5, 3, 31, 31, 1, 11, 24, 47, 66, 255, 133, 497, 81, 34, 3, 5, 1, 132, 130, 3, 9, 360, 20193, 4113, 16, 8, 10645, 666, 135, 3, 5, 1, 3, 2, 68, 34, 3, 31, 7, 396, 623, 12, 8598, 3, 6, 3, 31, 31, 528, 29, 29, 63, 243, 3, 6, 3, 2, 11, 237, 3, 99 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23, 3, 18423, 12, 253, 160, 3823, 30, 82, 1501, 3, 6, 3609, 24, 385, 5624, 11, 2213, 53, 44, 140, 3, 5, 1, 3, 13133, 3, 6, 4301, 63, 3, 58, 1, 125, 19, 34, 3, 58, 1, 33, 25, 8957, 3, 58, 1, 25, 751, 17, 470, 4781, 140, 3, 6, 56, 25, 3, 58, 1, 150, 194, 3, 5, 1, 572, 3, 58, 1, 737, 17, 317, 78, 3, 5, 1, 3, 23, 3, 52, 17344, 82, 2053, 3, 5, 1, 3, 23, 114, 39, 3912, 3, 5, 1, 255, 5949, 7, 114, 13478, 3, 5, 1, 255, 7, 39, 3912, 3, 6, 396, 3, 5, 1, 108, 7, 3, 7, 144, 132, 21, 430, 1962, 11, 258, 8190, 95, 11, 3, 6412, 223, 12, 160, 562, 3, 5, 1, 8, 416, 239, 62, 130, 3355, 3, 17, 208, 11, 255, 3495, 91, 11, 1213, 82, 609, 3, 5, 1, 255, 3993, 26, 44, 140, 11, 3, 23, 3993, 26, 223, 3, 5, 1, 160, 2053, 737, 17, 320, 38, 16411, 3, 5, 1, 24, 706, 528, 7, 2452, 47, 223, 3, 5, 1, 3, 23, 3, 547, 3, 9, 3795, 2461, 3, 5, 1, 3, 2917, 3, 23, 2085, 3, 7820, 25, 3, 58, 1, 8957, 3, 6, 3, 23, 3382, 3, 5, 1, 3, 23, 3, 3523, 32, 1054, 147, 11, 263, 562, 3, 5, 1, 255, 6756, 82, 2939, 300, 160, 3, 5, 1, 56, 25, 453, 140, 1346, 3, 58, 1, 8957, 3, 5, 1, 5712, 3, 58, 1, 17945, 3, 6, 3, 1092, 373, 453, 25, 1346, 3, 5, 1, 3, 23, 5712, 3, 5, 1, 227, 7370, 9461, 194, 29, 15, 538, 3, 6, 3, 88, 530, 3, 9, 613, 38, 3, 9, 25110, 5435, 21108, 255, 17048, 16, 8, 4548, 28988, 3, 5, 1, 62, 4114, 16, 3, 9, 600, 197, 3439, 629, 30, 3, 9, 5435, 1373, 3457, 13, 1511, 3, 5, 1, 48, 47, 274, 8, 1472, 3, 5, 1, 34, 47, 131, 38, 168, 24, 108, 7, 7, 63, 11, 3, 23, 130, 641, 200, 803, 3, 6, 250, 150, 119, 1082, 4114, 4676, 3, 5, 1, 62, 130, 341, 16, 13305, 2769, 3, 6, 78, 62, 530, 3, 51, 7, 5, 3, 32, 9, 189, 1635, 7, 853, 3, 5, 1, 24, 7, 213, 62, 1736, 69, 803, 36, 189, 3, 6, 3, 354, 9666, 11, 3, 7, 20118, 3, 5, 1, 36, 189, 47, 1245, 12, 921, 3, 5, 1, 3, 354, 9666, 47, 310, 2592, 11, 373, 141, 160, 609, 95, 3, 5, 1, 3, 7, 20118, 6528, 12, 428, 112, 4269, 298, 4125, 30, 3, 9, 3533, 3, 5, 1, 416, 12, 108, 7, 7, 63, 3, 6, 3, 5840, 49, 17, 4174, 6706, 49, 23136, 89, 47, 8, 568, 3, 23, 6528, 8, 167, 30, 8, 829, 4345, 3, 5, 1, 3, 7, 20118, 47, 966, 3, 9, 215, 2749, 145, 140, 3, 6, 3, 9, 27363, 18, 19176, 15, 26, 149, 26, 63, 103, 9666, 28, 1148, 3, 6, 2756, 1442, 2053, 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 ]
[ 7, 5, 100, 5956, 40, 232, 573, 19, 801, 12, 22006, 186, 3400, 3244, 6, 379, 80, 119, 712, 18, 3585, 3, 3406, 3113, 5224, 51, 6941, 32, 3929, 4884, 3, 52, 107, 23, 17805, 6, 8, 10295, 7682, 38, 449, 5, 37, 4810, 13, 48, 7225, 2074, 13, 7652, 1498, 141, 118, 46, 4912, 1391, 13, 12413, 274, 34, 47, 3, 19448, 3028, 38, 3, 9, 126, 3244, 16, 5832, 94, 3475, 12, 36, 167, 4799, 1341, 12, 7652, 1498, 185, 864, 6, 84, 34, 19, 6746, 45, 6472, 1427, 5, 94, 9560, 4459, 7701, 13, 3652, 16, 778, 2141, 5, 17881, 7, 7637, 102, 7542, 9, 13, 1117, 5089, 7542, 9, 13, 8, 2276, 138, 11015, 152, 18183, 4925, 3113, 3, 89, 322, 9, 13, 8, 907, 1323, 20988, 1334, 6, 1117, 5089, 1, 28925, 19, 46, 73, 10975, 573, 16, 24155, 1862, 15, 1334, 6, 16, 8, 412, 5, 134, 5, 538, 13, 12401, 5, 28925, 19, 1069, 30, 12401, 11198, 3, 14574, 6, 26181, 13, 8586, 4796, 14643, 11, 8613, 2286, 5727, 13, 3657, 35, 2407, 5, 5528, 71, 442, 828, 718, 28925, 47, 2127, 16, 507, 4225, 6, 11, 3, 7361, 16, 2986, 552, 957, 14681, 37, 573, 65, 8, 564, 13, 8, 926, 2527, 13, 8, 353, 5, 17881, 7, 597, 10975, 2597, 16, 1862, 15, 1334, 6, 12401, 597, 10975, 2597, 16, 12401, 1, 31188, 12, 8, 26818, 19, 8, 5695, 3100, 2306, 57, 3, 476, 29781, 3885, 7, 6, 3, 9, 9642, 4183, 516, 5147, 57, 724, 13, 797, 1928, 3, 476, 29781, 1140, 11, 2390, 1928, 3885, 7, 13, 12503, 18434, 9, 459, 5, 94, 47, 1883, 30, 1515, 10725, 2464, 6, 57, 17546, 23, 1018, 19558, 11547, 6, 28, 3, 9, 3, 27747, 9335, 4182, 1883, 57, 901, 782, 11547, 30, 1797, 14105, 5832, 11114, 86, 2628, 6, 13439, 1533, 565, 13, 3, 476, 29781, 1140, 47, 5374, 12, 8, 907, 6524, 57, 8, 1928, 3885, 7, 13, 12503, 18434, 9, 459, 12, 1759, 126, 6542, 6, 68, 1286, 6870, 6, 8, 800, 13, 914, 5874, 8, 1368, 47, 7346, 3138, 5, 8381, 80, 471, 6, 1533, 565, 11, 3885, 7, 13, 12503, 18434, 9, 459, 141, 1545, 11, 4381, 46, 1297, 2306, 31, 7, 1494, 13, 1037, 544, 6, 464, 44, 15039, 7, 9763, 15, 16179, 16, 24360, 6, 14599, 28, 6006, 26766, 38, 70, 8211, 5, 23208, 6839, 37, 2306, 1204, 2389, 1465, 2456, 45, 723, 6800, 7, 5, 94, 47, 2681, 21227, 30, 321, 37, 411, 2370, 13690, 11, 37, 11154, 5288, 22297, 31, 31, 31, 7, 2224, 335, 14234, 13, 2464, 6, 298, 8, 2409, 7223, 3397, 2650, 34, 16135, 13, 8, 1430, 30, 70, 475, 30, 1003, 1882, 10425, 2809, 7, 13, 9276, 18452, 24, 8, 2306, 31, 7, 723, 19, 96, 8461, 3255, 12, 777, 30, 3, 9, 1978, 1248, 2272, 6, 16, 3, 9, 19743, 3533, 28, 8, 6217, 95, 6, 3355, 3, 9, 8254, 13744, 535, 180, 2562, 4953, 22170, 3, 60, 16376, 24, 8, 2306, 31, 7, 1345, 96, 159, 114, 150, 119 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 150, 80, 2347, 4781, 3, 5, 3, 31, 31, 1, 131, 248, 3, 5, 1, 82, 1683, 65, 5136, 139, 2290, 545, 14302, 3, 5, 1, 3, 23, 3, 31, 162, 8441, 25759, 26, 8, 6025, 18, 6701, 8616, 18, 9, 23348, 1518, 1647, 44, 306, 18472, 28, 3, 4605, 23, 52, 3, 5, 1, 3, 4605, 23, 52, 3, 7, 51, 12546, 7, 38, 8, 945, 639, 223, 12, 160, 3, 6, 8, 1472, 13, 27831, 7267, 11, 168, 16, 160, 18312, 7, 3, 5, 1, 3, 2, 24, 3, 31, 7, 1385, 3228, 1329, 3, 5, 1, 24, 2906, 12, 36, 82, 3591, 3, 5, 3, 31, 31, 1, 255, 3, 7, 1071, 8692, 7, 147, 12, 140, 3, 5, 1, 3, 2, 3, 23, 474, 24, 833, 30, 1520, 192, 203, 274, 6791, 8238, 34, 326, 28, 140, 3, 5, 1, 132, 3, 31, 7, 150, 194, 16, 7927, 3, 23, 3, 31, 51, 3, 27081, 147, 11, 3, 8035, 25, 11178, 140, 28, 82, 293, 1683, 833, 3, 5, 1, 253, 5775, 1307, 12, 6177, 8, 12705, 3, 5, 1, 8, 336, 286, 34, 3, 31, 7, 352, 12, 1837, 19, 24, 23739, 3, 5, 1, 25, 164, 43, 6791, 3, 6, 68, 5260, 23790, 19, 2000, 3, 5, 3, 31, 31, 1, 3, 2, 19, 24, 572, 3, 6830, 1304, 19, 20111, 53, 25, 3, 58, 3, 31, 31, 1, 3, 23, 8944, 82, 819, 44, 8, 800, 3, 5, 1, 3, 2, 250, 25, 3, 31, 162, 141, 3, 9, 628, 14040, 16, 3245, 11, 25, 174, 12, 14, 34, 3, 58, 3, 31, 31, 1, 3, 9, 5103, 294, 13, 140, 19, 1829, 8032, 21, 3, 4605, 23, 52, 3, 6, 68, 3, 23, 3, 31, 51, 1704, 12, 720, 524, 18, 7, 8478, 24, 5103, 294, 13, 140, 11, 3, 23, 3, 31, 51, 269, 223, 12, 103, 697, 91, 8, 2016, 3613, 13, 1028, 26, 9, 77, 3, 5, 1, 34, 3, 31, 7, 4813, 255, 3, 31, 7, 78, 18337, 12, 453, 160, 2140, 44, 8, 23739, 255, 405, 3, 29, 31, 17, 124, 4068, 255, 3, 31, 7, 3214, 323, 8, 23597, 28, 3, 5, 1, 3, 4605, 23, 52, 3, 31, 7, 539, 8466, 14725, 7, 640, 82, 18312, 21, 125, 1224, 2992, 8, 3, 7, 8478, 1943, 300, 8, 23348, 6885, 3, 5, 1, 255, 5050, 30, 160, 18915, 3, 6, 6131, 7, 160, 3270, 3, 6, 11, 5536, 7, 8, 7189, 3, 5, 1, 3, 2, 15273, 3, 7, 10536, 3, 55, 3, 31, 31, 1, 50, 450, 35, 10823, 7, 3, 9, 6316, 16, 3, 9, 1905, 13, 22116, 11, 704, 95, 3, 9, 28463, 63, 10203, 12, 240, 8, 3023, 326, 3, 5, 1, 3, 2, 255, 131, 720, 524, 18, 7, 8478, 3138, 25, 21, 150, 1053, 3, 5, 3, 31, 31, 1, 3, 1427, 54, 3, 10942, 610, 160, 10882, 3, 5, 1, 2087, 255, 410, 3, 6, 68, 3, 23, 212, 3, 29, 31, 17, 129, 657, 125, 255, 243, 81, 6791, 9243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 38, 168, 38, 228, 36, 1644, 3, 5, 1, 4879, 3887, 1096, 70, 6460, 1207, 5100, 44, 3905, 1024, 38, 3, 88, 4037, 657, 135, 3, 5, 1, 14941, 32, 737, 17, 15389, 227, 376, 3, 6, 68, 341, 3, 88, 1964, 26, 190, 8, 168, 18, 235, 18, 26, 32, 5353, 28, 165, 3, 26781, 4790, 628, 26, 91, 3943, 45, 284, 119, 16, 70, 3, 1618, 7938, 26, 1995, 3, 117, 3, 88, 1114, 12, 129, 550, 45, 48, 1251, 3112, 13, 10960, 10116, 7, 7, 297, 3, 5, 1, 3, 88, 470, 225, 43, 661, 114, 24, 3, 6, 3905, 1024, 5723, 3, 6, 3, 88, 225, 43, 8190, 95, 21, 2448, 11, 11230, 15, 26, 14941, 32, 28, 112, 17494, 3, 6, 263, 2448, 3610, 179, 16, 8, 522, 13, 112, 1055, 2353, 18, 77, 18, 4207, 3, 5, 1, 3, 88, 4910, 38, 3, 88, 5723, 63, 4636, 3, 6, 3, 88, 141, 3, 14417, 16, 15184, 6561, 29, 127, 3, 5, 1, 3, 88, 3, 29049, 112, 9585, 326, 38, 200, 3, 88, 228, 30, 8, 1591, 3, 5, 1, 3, 88, 1114, 12, 4410, 2448, 13734, 3, 6, 68, 3, 88, 6994, 17, 43, 2767, 95, 12, 8, 851, 1365, 11, 718, 91, 14941, 32, 114, 48, 3, 6, 31973, 1329, 13, 8, 388, 3, 2544, 3062, 3, 88, 1114, 12, 20111, 3, 6, 11, 13, 9657, 35, 38, 168, 3, 5, 1, 150, 80, 225, 43, 12, 36, 4260, 114, 48, 3, 6, 3905, 1024, 3, 4246, 11196, 12, 2448, 3, 6, 25341, 112, 819, 3, 5, 1, 780, 3, 88, 228, 59, 522, 14941, 32, 230, 3, 6, 21, 3, 88, 429, 129, 3, 17349, 95, 57, 14941, 32, 16, 851, 13, 9657, 35, 3, 6, 42, 8, 2870, 429, 281, 16, 8, 6401, 2212, 3, 6, 11, 9657, 35, 133, 5591, 376, 3, 99, 3, 88, 4781, 160, 2353, 3, 5, 1, 3, 88, 47, 21050, 81, 125, 133, 1837, 3, 99, 14941, 32, 410, 11230, 376, 3, 6, 68, 3, 88, 47, 966, 824, 24, 34, 133, 414, 95, 16, 3, 9, 2870, 9296, 3, 5, 1, 3, 9, 360, 1922, 1187, 3905, 1024, 3, 6, 11, 12658, 5661, 7, 17, 12, 376, 3, 6, 3, 9, 568, 3, 6412, 91, 45, 8, 8652, 2471, 57, 192, 13, 8, 2354, 3, 6, 508, 4790, 16, 48, 294, 13, 576, 15, 3, 12534, 9, 11, 7533, 3905, 1024, 819, 2957, 8, 1511, 2812, 11, 2541, 139, 8, 9872, 13, 15184, 6561, 29, 127, 3, 5, 1, 8, 568, 3, 7, 17, 99, 1361, 3, 9, 8719, 11, 258, 47, 11237, 3, 6, 479, 300, 12, 143, 417, 24, 150, 80, 3, 6, 902, 3905, 1024, 3, 6, 47, 3355, 38, 8, 568, 2301, 1039, 12, 8, 416, 6813, 344, 4790, 3, 5, 1, 8, 4879, 3887, 410, 59, 21696, 44, 8, 568, 1735, 11237, 120, 11, 4321, 3, 6, 1077, 250, 8, 568, 410, 59, 1727, 114, 231, 13, 3, 9, 5888, 3, 5, 1, 8, 3887, 429, 3, 5304, 70 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 424, 3, 5, 3, 31, 31, 1, 3, 88, 3, 13658, 88, 26, 258, 243, 3, 6, 3, 2, 361, 11113, 3, 6, 62, 398, 3, 18, 3, 31, 31, 82, 2053, 5658, 15, 26, 30, 112, 3, 6, 84, 3, 23, 228, 217, 3, 6, 131, 11289, 3, 6, 68, 3, 23, 228, 217, 130, 17810, 424, 11, 3, 23, 3, 30233, 4645, 3, 6, 3753, 376, 326, 38, 34, 1560, 140, 3, 5, 1, 3, 2, 25, 3, 31, 60, 17810, 424, 3, 5, 3, 31, 31, 1, 3, 2, 361, 11113, 3, 18, 3, 31, 31, 3, 2, 125, 3, 58, 3, 31, 31, 1, 3, 2, 2202, 3, 18, 3, 31, 31, 3, 23, 474, 3, 9, 609, 30, 112, 5738, 3, 6, 530, 95, 30, 8, 12, 15, 7, 13, 82, 1131, 22434, 3, 6, 8757, 18, 346, 15624, 18, 2700, 15, 26, 18, 235, 15, 26, 7560, 4660, 11, 1380, 3, 6, 3, 2, 125, 3, 31, 7, 13423, 25, 3, 6, 2515, 15, 63, 3, 58, 3, 31, 31, 1, 3, 88, 2697, 1520, 13, 82, 2053, 3, 5, 1, 258, 3, 88, 3, 26, 15437, 112, 522, 4645, 12, 140, 3, 5, 1, 258, 3, 88, 243, 3, 6, 3, 2, 25, 2112, 8, 2602, 13, 3, 26, 9782, 4031, 3, 5, 3, 31, 31, 1, 3, 23, 3, 115, 29000, 3, 5, 1, 258, 3, 23, 1380, 3, 6, 3, 2, 125, 3, 58, 3, 31, 31, 1, 3, 88, 410, 3, 29, 31, 17, 6103, 2448, 3, 5, 1, 1446, 3, 88, 18606, 3, 6, 3, 2, 3, 23, 47, 1786, 116, 3, 23, 1219, 25, 3, 23, 410, 3, 29, 31, 17, 43, 3, 9, 1305, 945, 3, 5, 1, 82, 1305, 2602, 33, 39, 2602, 3, 5, 3, 31, 31, 1, 3, 23, 3, 115, 29000, 38, 82, 842, 26205, 26, 3, 9, 3853, 11, 2515, 15, 63, 2925, 3, 6, 3, 2, 3, 23, 2396, 25, 16, 39, 872, 7, 3, 6, 39, 4294, 7, 3, 6, 39, 9954, 7, 11, 1728, 39, 1692, 7, 3, 5, 3, 31, 31, 1, 3, 23, 8876, 26, 3, 6, 1631, 3, 88, 310, 1866, 1388, 44, 8, 337, 97, 82, 17719, 530, 310, 1978, 44, 112, 1234, 258, 3, 88, 2697, 2508, 3, 5, 1, 3, 2, 125, 3, 23, 103, 59, 114, 12, 217, 25, 16, 19, 8, 1131, 13, 3, 26, 9782, 4031, 3, 5, 3, 31, 31, 1, 82, 17719, 3, 4774, 8361, 2107, 3, 6, 3, 23, 3, 10671, 223, 12, 8, 4199, 7, 13, 82, 1922, 3, 6, 5597, 11, 3, 6, 3, 23, 141, 12, 6264, 3, 6, 20, 354, 7633, 3, 5, 1, 3, 2, 3, 23, 3, 15295, 48, 21, 25, 3, 6, 3, 31, 31, 3, 23, 23874, 15, 26, 3, 5, 1, 3, 2, 2039, 243, 3, 18, 3, 31, 31, 112, 609, 44, 82, 5378, 20103, 26, 14292, 11, 3, 88, 23874, 15, 26, 223, 3, 6, 3, 2, 3, 23, 214, 3, 6, 62, 15, 80, 11, 3, 23 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7257, 16528, 1508, 44, 8, 22951, 5550, 17793, 7257, 16528, 1508, 44, 8, 8754, 5550, 17793, 11548, 13467, 9365, 343, 7, 21, 8, 907, 2271, 13, 3434, 11548, 9365, 343, 7, 16, 1057, 16528, 20002, 343, 7, 44, 8, 22951, 5550, 17793, 1, 71, 1859, 1598, 9, 19, 3, 9, 1511, 11, 789, 3143, 13, 20499, 157, 7777, 4392, 6, 13, 1244, 12198, 9, 1313, 7985, 13, 9995, 5, 37, 20499, 157, 7777, 4392, 19, 4466, 21, 165, 793, 5278, 84, 43, 44, 11674, 11618, 12, 8, 616, 5, 5777, 83, 920, 1747, 16, 1244, 12198, 9, 1313, 7777, 4392, 6116, 13, 1244, 12198, 9, 1313, 1, 848, 3757, 15894, 9, 189, 83, 49, 19198, 1671, 26957, 3, 104, 2838, 1660, 1421, 61, 47, 3, 9, 24317, 3, 6941, 7, 447, 343, 45, 5961, 5316, 5, 8840, 280, 848, 3757, 15894, 9, 189, 83, 49, 47, 2170, 16, 6611, 760, 9, 6, 1334, 1524, 588, 651, 6, 5961, 5316, 30, 898, 1671, 26957, 6, 3, 9, 520, 13, 8, 2743, 13, 8, 11541, 24780, 6291, 5, 216, 5526, 13016, 3186, 3720, 9200, 1121, 6, 6611, 760, 9, 4025, 17, 6, 11, 258, 5286, 31, 7, 636, 27874, 5, 290, 3, 88, 7463, 3, 11599, 6, 11, 47, 5539, 3, 4547, 75, 16, 22951, 6, 11, 5266, 75, 16, 24011, 21, 3, 9, 11204, 30, 96, 21543, 52, 106, 9919, 23, 1938, 4737, 18, 14309, 7, 13, 486, 3972, 102, 88, 2234, 6435, 15, 7, 1280, 216, 258, 2301, 12, 8, 636, 13, 18588, 12, 161, 44, 8, 3147, 1212, 553, 8953, 10363, 6255, 132, 6, 11, 47, 5539, 3, 9, 10360, 16, 21018, 5, 15151, 216, 24172, 44, 28757, 636, 6, 2312, 45, 21018, 104, 26937, 8525, 258, 1920, 15, 7, 7165, 19474, 6, 2556, 5718, 19201, 4481, 4581, 5, 216, 1553, 161, 44, 205, 25992, 16, 17184, 6, 38, 3, 9, 4290, 9129, 154, 45, 8, 15874, 49, 2590, 19474, 6, 3963, 4310, 6, 3725, 2852, 3, 9, 1223, 3490, 44, 205, 25992, 16, 14834, 21, 3, 9, 7769, 1201, 4141, 38, 3642, 13, 8, 30871, 22139, 6022, 6, 838, 147, 45, 21038, 23, 32, 31280, 5, 216, 1869, 15041, 18, 24898, 44, 8, 636, 13, 15131, 38, 5812, 13, 22139, 11, 819, 13, 8, 24317, 3, 11599, 563, 6, 6011, 112, 5992, 28, 205, 25992, 5, 366, 3, 88, 10611, 6, 8, 636, 13, 15131, 13666, 46, 96, 10575, 3757, 371, 222, 121, 12, 4036, 112, 1415, 5, 6580, 11, 13861, 216, 47, 8160, 12, 8, 3671, 3467, 30, 627, 1332, 5541, 11, 1204, 8, 15874, 49, 2590, 20002, 11, 11329, 16, 9047, 41, 4065, 18163, 18043, 152, 61, 45, 8, 2548, 13, 22139, 5, 216, 47, 263, 46, 6027, 13, 8, 5197, 13, 8, 2390, 12187, 16, 4402, 21, 364, 12, 3, 11599, 5, 216, 1204, 192, 3610, 1208, 4526, 6, 46, 3610, 1208, 2472, 342, 45, 8, 16896, 13, 23516, 11, 2854, 44, 3234, 102, 7, 138, 9, 636, 6, 12207, 16, 14505, 5, 6, 11, 3, 9, 309, 5, 134, 75, 5, 45, 5286, 31, 7, 636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 9, 1218, 1229, 20188, 10015, 876, 21, 169, 30, 16, 24875, 5275, 41, 15, 5, 122, 5, 8, 1284, 137, 94, 1250, 1742, 17842, 147, 224, 3, 9, 1229, 12, 4410, 70, 4810, 12, 284, 119, 298, 92, 3, 13494, 3, 15, 16001, 15946, 2462, 42, 27204, 6032, 11, 3, 3232, 21, 8, 10664, 13, 12767, 5, 37, 10015, 54, 36, 7173, 38, 6963, 16, 1034, 10015, 59, 257, 6, 213, 13390, 19, 6876, 1014, 6257, 12, 5762, 338, 3, 9, 2460, 180, 41, 329, 19, 3, 9, 2363, 18, 8826, 52, 6, 10144, 11, 3, 14972, 33, 529, 2319, 61, 10, 2507, 10, 37, 756, 2245, 103, 59, 6876, 342, 272, 12, 71, 5, 100, 19, 80, 13, 8, 18870, 13590, 26, 57, 4152, 3623, 7, 6, 71, 5514, 23, 11, 5882, 1483, 16, 8, 1040, 24, 3665, 46, 778, 988, 13, 4152, 3623, 7, 104, 188, 5514, 23, 104, 567, 6958, 1483, 9769, 5, 24655, 7, 30, 8, 10015, 290, 33, 3, 9, 1196, 13, 6032, 30, 48, 10015, 1083, 1790, 5, 3037, 7239, 6032, 506, 6032, 1175, 8, 16, 2666, 588, 28, 8, 2363, 843, 11, 164, 17981, 80, 13, 8, 2251, 45, 8, 3634, 5, 7508, 26, 11, 1534, 32, 7743, 24, 8, 926, 4210, 405, 59, 1457, 24, 180, 691, 8, 6080, 6327, 71, 11, 272, 12, 36, 8, 337, 38, 8, 71, 11, 272, 16, 8, 192, 3, 3389, 760, 6327, 7, 5, 100, 1250, 46, 16, 2666, 588, 28203, 5672, 53, 38, 272, 12, 22895, 8, 166, 1569, 6, 258, 1299, 8, 511, 1569, 12, 180, 3, 24246, 8, 511, 3, 3389, 760, 6327, 338, 165, 293, 843, 11, 3, 21990, 1402, 16, 8, 6080, 6327, 5, 37, 10015, 5542, 28, 71, 2178, 3, 9, 2363, 843, 28, 8, 16, 2666, 588, 1066, 145, 272, 5, 350, 4087, 729, 7, 11, 1915, 2920, 9, 5530, 430, 3211, 84, 79, 564, 46, 1584, 485, 3211, 5, 86, 48, 3211, 8, 16, 2666, 588, 22895, 7, 8, 511, 1569, 11, 26719, 12, 272, 338, 8, 192, 3, 3389, 760, 6327, 7, 45, 1569, 204, 16, 1569, 1877, 86, 8, 8605, 13, 136, 691, 12, 1709, 34, 6, 283, 41, 127, 2361, 283, 6, 188, 6, 279, 61, 2992, 8, 2363, 843, 344, 71, 11, 272, 11, 19, 801, 12, 8, 16, 2666, 588, 5, 16311, 8788, 321, 8, 350, 4087, 729, 7, 11, 1915, 2920, 9, 1584, 485, 3211, 11, 430, 3211, 16, 112, 484, 12715, 277, 493, 3404, 5, 86, 48, 8, 16, 2666, 588, 22895, 7, 8, 166, 1569, 6, 2036, 7, 8, 6080, 6327, 71, 6, 279, 11, 2284, 24, 38, 1569, 314, 3, 32, 1538, 1222, 4175, 204, 11, 1877, 100, 3231, 71, 17842, 28, 8, 16, 2666, 588, 338, 283, 41, 127, 283, 6, 188, 6, 279, 61, 38, 8, 2363, 843, 5, 2678, 9433, 757, 6032, 100, 3211, 1250, 8, 16, 2666, 588, 12, 23773, 8, 1901, 68, 405, 59, 995, 8, 16, 2666, 588, 12, 2485, 592, 12, 1, 9364, 5347, 3786, 16, 8, 907, 1323, 1115, 807, 1341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 773, 13, 1722, 574, 28, 80, 3, 5, 1, 7927, 3, 6, 3, 88, 3, 31, 26, 470, 141, 3, 7, 994, 1059, 3, 5, 1, 59, 237, 28, 3, 18413, 9, 3, 6, 112, 80, 11, 163, 17442, 3, 5, 1, 3, 88, 3, 31, 26, 4792, 160, 274, 79, 700, 16645, 18, 1190, 24, 3, 7, 10536, 3, 5, 1, 230, 3, 5, 1, 3, 88, 5317, 3, 17, 13296, 3, 9, 2164, 12609, 147, 112, 3376, 3, 5, 1, 91, 13, 7386, 3, 6, 3, 88, 7122, 8, 1706, 13, 112, 3, 2, 1327, 54, 5958, 190, 175, 3, 6, 3, 23, 23782, 3, 55, 3, 31, 31, 1, 16802, 3, 5, 1, 3, 9, 2164, 19375, 646, 376, 3, 5, 1, 17227, 1085, 348, 3, 5, 1, 3, 88, 5317, 225, 43, 801, 394, 3, 5, 1, 237, 713, 3, 88, 3, 31, 26, 16713, 15, 26, 2448, 336, 706, 3, 6, 633, 6883, 130, 641, 16644, 11, 3, 1007, 15, 26, 3, 6, 8, 9804, 13, 273, 10631, 4340, 26, 16, 78, 32, 17, 3, 5, 1, 3, 88, 237, 5949, 15, 26, 13, 3, 23623, 49, 3, 5, 1, 17227, 24, 150, 693, 3, 5, 1, 11, 133, 3, 29, 31, 17, 25, 214, 34, 3, 58, 1, 131, 38, 274, 3, 6, 3, 8199, 1631, 160, 564, 530, 376, 614, 38, 3, 9, 8581, 7812, 29, 2470, 7119, 3, 6, 3667, 147, 21509, 53, 112, 3, 14043, 53, 11213, 3, 5, 1, 125, 47, 34, 81, 160, 24, 4996, 376, 95, 78, 1551, 3, 58, 1, 255, 47, 5296, 3, 6, 68, 78, 130, 119, 887, 3, 5, 1, 255, 47, 17056, 11, 9674, 3, 6, 3, 9, 385, 22071, 3, 6, 3, 9, 418, 3, 1926, 397, 1329, 3, 5, 1, 160, 163, 21279, 3, 6, 24, 3, 88, 228, 217, 3, 6, 47, 3, 8644, 3, 5, 1, 125, 47, 150, 693, 692, 269, 230, 3, 58, 1, 3, 5885, 3169, 3, 6, 3, 88, 816, 3, 6, 11, 416, 435, 2448, 3542, 10503, 3, 5, 1, 8, 798, 3, 88, 5723, 125, 3, 88, 47, 692, 3, 6, 3, 88, 3, 3523, 210, 1361, 3, 5, 1, 3, 88, 3, 31, 26, 470, 22875, 81, 3, 9, 2335, 274, 3, 5, 1, 373, 3, 88, 3, 31, 26, 118, 3, 179, 12, 1482, 550, 3, 5, 1, 78, 572, 410, 914, 1631, 150, 693, 1137, 224, 3, 9, 1101, 6363, 3, 58, 1, 3, 2, 225, 3, 23, 3, 233, 3, 31, 31, 8, 3955, 16, 851, 13, 376, 4644, 15, 26, 12, 112, 22245, 3, 5, 1, 255, 398, 36, 16, 3, 9, 23601, 12, 129, 48, 612, 12, 43, 4335, 112, 150, 18, 28921, 3356, 3, 5, 1, 3, 2, 150, 3, 5, 1, 3, 23, 56, 3, 5, 3, 31, 31, 1, 68, 3, 88, 410, 3, 29, 31, 17, 3, 5, 1, 3, 88, 131, 8190, 132, 3, 6, 38, 4644, 924, 38, 3, 9, 12647, 3, 5, 1, 3, 88, 1114, 150, 693, 3, 6, 780, 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 ]
[ 1304, 7, 636, 16, 8, 13200, 20711, 6022, 27, 18, 188, 3370, 774, 5, 86, 70, 511, 774, 365, 819, 3763, 21269, 11825, 6, 8, 14586, 1655, 11595, 7, 3, 16678, 3, 9, 204, 104, 927, 104, 536, 1368, 298, 12166, 38, 46, 2547, 11, 130, 91, 3523, 1271, 57, 70, 16383, 204, 3539, 12, 3, 24816, 5, 37, 372, 31, 7, 11775, 2440, 1285, 4967, 2776, 4707, 986, 23, 28, 1914, 2555, 519, 5792, 6460, 6, 11375, 3931, 28, 220, 4056, 3, 15842, 6460, 11, 997, 591, 4281, 6460, 5, 14890, 17881, 7, 2770, 17, 1304, 7, 2770, 17, 1304, 7, 14586, 1655, 11595, 7, 3370, 9385, 2770, 17, 1304, 7, 14586, 1655, 11595, 7, 3370, 1, 37, 13480, 2770, 17, 1304, 7, 14586, 1655, 11595, 7, 3370, 372, 7283, 2770, 17, 1304, 7, 636, 16, 8, 13480, 20711, 6022, 27, 18, 188, 3370, 774, 5, 86, 70, 166, 774, 365, 819, 3763, 21269, 11825, 6, 8, 14586, 1655, 11595, 7, 3, 16678, 3, 9, 489, 104, 519, 1368, 298, 12166, 38, 46, 2547, 11, 91, 3523, 1271, 70, 16383, 204, 2368, 12, 3, 20896, 5, 37, 372, 31, 7, 11775, 2440, 1285, 848, 362, 7341, 2235, 28, 1914, 2394, 1298, 5792, 6460, 6, 11375, 3931, 28, 505, 3951, 3, 15842, 6460, 6, 11, 5954, 10731, 28, 305, 4201, 4281, 6460, 5, 14890, 2158, 1370, 17881, 7, 2770, 17, 1304, 7, 2770, 17, 1304, 7, 14586, 1655, 11595, 7, 3370, 9385, 2770, 17, 1304, 7, 14586, 1655, 11595, 7, 3370, 1, 37, 1076, 31, 7, 3, 12814, 14604, 44, 8, 1421, 27, 4051, 18373, 7, 1611, 7666, 7, 47, 1213, 44, 8, 30408, 32, 3, 30370, 5807, 7291, 32, 4603, 75, 5675, 23, 16, 17969, 15, 235, 45, 850, 10892, 1515, 5, 20002, 343, 7, 1610, 92, 6792, 13, 27, 4051, 296, 3187, 16, 12217, 7, 17881, 7, 3, 12814, 14604, 3, 12814, 14604, 44, 8, 1150, 4734, 18373, 7, 1611, 7666, 7, 1, 37, 17107, 19722, 377, 2632, 77, 31, 2419, 216, 29, 7, 3370, 372, 7283, 8, 636, 1129, 19722, 383, 8, 17107, 20711, 6022, 2466, 3370, 774, 38, 46, 2547, 5, 37, 216, 29, 7, 2012, 8, 11989, 189, 774, 13, 19722, 3370, 6, 11, 70, 166, 38, 724, 13, 8, 3, 60, 28006, 20711, 6022, 2466, 5, 37, 216, 29, 7, 1944, 70, 234, 1031, 16, 44, 19722, 12750, 16, 368, 6604, 6, 19722, 5, 37, 17107, 372, 764, 326, 46, 3550, 89, 15, 920, 335, 104, 632, 1368, 45, 8, 1767, 774, 5, 37, 17107, 372, 47, 2237, 57, 3763, 24005, 969, 22405, 5, 37, 372, 2369, 8, 1646, 774, 28, 46, 505, 104, 519, 1368, 11, 263, 8, 22145, 20711, 6022, 2466, 15289, 7, 5, 611, 6, 8, 216, 29, 7, 1513, 12, 20278, 7428, 6, 1003, 104, 11864, 16, 8, 166, 1751, 6, 8, 2086, 12539, 9713, 5, 14890, 17881, 7, 19722, 19722, 377, 2632, 77, 31, 2419, 216, 29, 7, 3370, 9385, 19722, 377, 2632, 77, 31, 2419, 216, 29, 7, 3370, 1, 30327, 3306, 19, 46, 797, 5193, 2480, 1928, 45, 7714 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64, 23, 26, 8, 3654, 4243, 17, 11, 3, 7, 210, 425, 8, 1365, 539, 3, 5, 1, 21820, 3912, 3, 5, 1, 2662, 75, 835, 747, 3060, 160, 6026, 91, 11, 3, 24332, 160, 5597, 16449, 3, 17446, 643, 3, 5, 1, 3, 9325, 63, 3, 55, 1, 160, 2039, 3, 7, 835, 9, 1361, 28, 3922, 3, 5, 1, 369, 16, 3, 6, 369, 16, 3, 5, 1, 255, 2120, 11, 3, 6412, 4321, 223, 139, 8, 840, 562, 13, 160, 422, 629, 3, 5, 1, 2662, 75, 835, 747, 5665, 6979, 8, 1365, 11, 258, 3, 7, 8130, 8, 12862, 139, 286, 3, 6, 8, 829, 97, 2627, 160, 2053, 30, 8, 6660, 2999, 697, 2320, 13, 160, 2039, 352, 230, 139, 8, 1228, 3, 5, 1, 255, 3, 13973, 223, 3, 9, 18787, 13, 6261, 3, 5, 1, 160, 2039, 133, 129, 394, 3, 5, 1, 255, 47, 78, 1101, 255, 133, 9589, 48, 396, 3, 5, 1, 255, 141, 12, 3, 55, 1, 369, 30, 16, 8, 1228, 3, 23, 47, 131, 16618, 1512, 128, 3, 3441, 23, 2198, 3, 6, 3, 1092, 143, 34, 192, 12294, 3, 5, 1, 160, 2039, 718, 45, 300, 8, 2752, 3, 5, 1, 2662, 75, 835, 747, 3, 7, 8130, 160, 306, 18915, 326, 11, 3, 25951, 139, 160, 293, 3116, 13, 629, 4439, 24, 255, 2697, 270, 11, 2348, 160, 2039, 3, 5, 1, 8, 5949, 7, 13, 8, 1228, 1940, 223, 78, 186, 5655, 3, 5, 1, 3, 23, 52, 9, 1824, 3, 5, 1, 34, 9, 120, 3, 5, 1, 2515, 663, 3, 5, 1, 2031, 3, 6, 8, 3, 76, 5, 7, 3, 5, 1, 8, 9148, 7, 141, 118, 915, 44, 66, 160, 3, 19115, 3372, 2503, 3, 5, 1, 255, 3, 6412, 95, 12, 160, 2039, 11, 3, 7, 8130, 46, 2939, 300, 160, 13586, 3, 6, 271, 6195, 59, 12, 13033, 8, 3, 6482, 32, 1745, 9205, 3138, 12, 160, 13586, 3, 6, 11, 7533, 160, 2153, 430, 4119, 13, 1435, 3, 23, 52, 9, 1824, 23, 3, 3441, 23, 3, 5, 1, 3, 3565, 160, 200, 2231, 3, 6, 2662, 75, 835, 747, 1800, 6257, 1731, 12, 29787, 95, 3, 5, 1, 2561, 3, 5, 1, 3, 9, 1618, 9, 243, 38, 255, 158, 8849, 26, 160, 30, 8, 18312, 3, 5, 1, 2662, 75, 835, 747, 877, 12, 8, 422, 1751, 953, 11, 3, 7, 144, 323, 3, 5, 1, 255, 2299, 81, 160, 16, 8, 422, 1228, 3, 5, 1, 1435, 399, 10488, 20576, 47, 30, 1831, 756, 8, 422, 12014, 131, 666, 633, 1933, 13, 160, 2353, 3, 5, 1, 132, 3, 88, 47, 16, 273, 1933, 255, 141, 2299, 44, 9590, 120, 38, 3, 9, 385, 3202, 3, 117, 80, 16, 3270, 7117, 28, 46, 10211, 5692, 16, 8, 2458, 3, 6, 430, 16, 423, 3392, 4124, 3823, 3, 9, 2916, 3, 9, 3858, 26, 1306, 3, 16669, 16, 851, 13, 46, 3, 9, 107, 19516, 3, 6, 11, 430, 28, 112, 8677, 326, 28, 112, 2939, 300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9970, 3907, 8, 2166, 12, 8, 4904, 1649, 226, 564, 11, 2696, 11, 999, 4258, 26, 5, 24374, 994, 65, 1204, 5022, 45, 38, 623, 550, 38, 12821, 5, 4904, 1649, 226, 722, 33, 3, 179, 12, 12761, 8, 126, 4904, 1649, 226, 10787, 21, 534, 9194, 5, 37, 167, 1012, 22039, 7, 560, 2297, 18, 24186, 11241, 21, 11959, 31, 7, 1430, 5, 15248, 7, 4904, 1649, 226, 47, 9554, 57, 8, 555, 11591, 1336, 9416, 1958, 552, 8, 1248, 13, 10986, 10226, 12, 8, 1056, 130, 3907, 57, 4904, 1649, 226, 2312, 6, 6516, 6, 84, 141, 4258, 26, 9421, 13, 633, 11104, 6, 84, 130, 347, 16, 3, 9, 1710, 381, 13, 9777, 3253, 11, 1009, 70, 475, 5, 37, 349, 3, 29220, 999, 13, 8, 15928, 7, 16, 4144, 282, 13, 1718, 1914, 460, 2658, 6, 8, 765, 353, 13, 4904, 1649, 226, 9702, 10285, 4800, 41, 5948, 1303, 1986, 5, 7061, 994, 4010, 15, 509, 26, 51, 9, 5, 287, 87, 61, 845, 24, 79, 33, 96, 10572, 1893, 53, 12, 1205, 121, 11, 7809, 3, 9, 951, 381, 21, 12320, 5, 328, 6360, 24, 79, 43, 15760, 8, 2696, 57, 3, 8499, 24212, 32, 7, 15, 11, 56, 36, 5874, 80, 4887, 6, 30161, 6, 96, 235, 16, 4334, 1269, 535, 37, 1805, 3732, 13, 8, 15928, 56, 36, 612, 57, 27830, 11456, 3139, 7, 5, 86, 1012, 1543, 4904, 1649, 226, 19, 2799, 16, 7872, 2671, 31, 7, 930, 224, 38, 37, 7351, 6, 38, 168, 38, 7099, 27073, 17881, 7, 26241, 2416, 4904, 1649, 226, 9702, 10285, 4800, 20289, 3635, 1, 14695, 6921, 19, 3, 9, 3, 1483, 1655, 16, 8, 3095, 14961, 13, 15763, 24471, 16, 8, 1244, 23130, 3939, 13, 23130, 6, 2789, 5, 94, 7, 13012, 1511, 19, 332, 2960, 7149, 6, 84, 7797, 3241, 3414, 18, 11535, 45, 8, 3, 1483, 1655, 5, 37, 3, 1483, 1655, 19, 8382, 30, 8, 272, 4201, 4056, 11, 3, 6848, 13, 3241, 3, 9, 9611, 6198, 7, 11, 3, 9, 452, 629, 6, 8, 96, 3881, 8153, 11358, 63, 86, 29, 121, 41, 14034, 8, 96, 254, 10462, 6921, 86, 29, 121, 137, 37, 564, 13, 8, 3, 1483, 1655, 19, 1327, 12, 103, 28, 2495, 11, 6591, 5391, 3, 104, 3519, 277, 16, 8, 415, 8658, 11, 1584, 7, 35, 447, 2000, 7, 130, 1866, 57, 3, 7, 2685, 102, 16, 8, 607, 13, 96, 17362, 7, 121, 84, 79, 228, 2509, 21, 4968, 44, 3248, 224, 38, 16, 29, 7, 5, 37, 16, 29, 6886, 8, 564, 6, 11, 8, 3, 1483, 1655, 3, 4774, 95, 300, 34, 11, 808, 165, 564, 5, 17881, 7, 5845, 7677, 16, 23130, 1, 37, 368, 5725, 3721, 2125, 41, 567, 956, 4148, 61, 19, 46, 6028, 9085, 128, 6659, 11, 1035, 481, 16, 368, 5725, 5, 94, 47, 8441, 5710, 227, 3, 9, 1338, 16, 1186, 507, 3840, 44, 6393, 15, 2644, 4457, 5, 1029, 507, 4314, 12, 18148, 6, 8, 445, 956, 4148, 47, 1702, 38, 3, 9, 6421, 13, 8, 2390, 3721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4852, 1566, 18, 24925, 4852, 797, 4852, 797, 11237, 1451, 4852, 797, 6616, 4852, 797, 1001, 18, 232, 18, 13698, 4852, 1, 19560, 9, 7870, 60, 102, 32, 26925, 41, 7473, 335, 1671, 7273, 61, 19, 3, 9, 18898, 29, 3370, 49, 113, 4805, 38, 3, 9, 2076, 1846, 49, 21, 5093, 15696, 1106, 9, 27284, 7, 23, 15742, 749, 1886, 3, 10161, 9919, 49, 5167, 11, 8, 18898, 887, 31, 7, 1157, 372, 5, 1331, 1415, 7870, 60, 102, 32, 7283, 18898, 44, 8, 1673, 23129, 412, 10794, 4047, 31, 7, 1150, 3802, 5, 451, 263, 160, 2991, 5695, 30, 957, 1718, 1360, 16, 3, 9, 3, 632, 104, 536, 2609, 1453, 12, 11229, 18037, 5, 1331, 1766, 17763, 7, 11, 772, 570, 18898, 31, 7, 1288, 3, 17, 1427, 166, 17881, 7, 7273, 3879, 7, 5753, 151, 4047, 31, 7, 6028, 3370, 2076, 1846, 277, 18898, 29, 887, 31, 7, 3370, 277, 18898, 887, 31, 7, 1038, 3370, 277, 4266, 797, 5880, 2045, 9365, 343, 7, 21, 18898, 4266, 797, 5880, 9365, 343, 7, 16, 3370, 10929, 277, 44, 8, 1360, 4266, 797, 5880, 18898, 29, 8116, 9, 1788, 342, 2100, 16588, 16, 6436, 3, 12882, 9, 1788, 342, 887, 31, 7, 3370, 277, 16, 6436, 20002, 343, 7, 44, 8, 1360, 4266, 797, 5880, 1, 37, 27710, 104, 3420, 2386, 13674, 11390, 7, 1076, 31, 7, 8498, 372, 7283, 8, 636, 13, 2386, 21, 8, 20711, 1900, 8498, 774, 5, 312, 26, 57, 26653, 189, 18, 1201, 819, 3763, 216, 75, 31208, 739, 6, 8, 13674, 11390, 7, 130, 724, 13, 8, 5824, 5458, 4379, 11, 1944, 70, 234, 1031, 30, 4730, 44, 8, 412, 518, 27890, 16, 8854, 6, 2386, 5, 37, 13674, 11390, 7, 130, 1879, 16, 8, 1646, 774, 11, 16, 2542, 577, 117, 166, 16, 8, 5961, 4889, 5, 2386, 15458, 12, 19796, 21, 8, 2542, 15289, 939, 11, 130, 3, 23426, 16, 192, 1031, 5, 86, 8, 11548, 20660, 7, 1116, 227, 8, 774, 6, 8, 13674, 11390, 7, 130, 314, 104, 5411, 37, 868, 25298, 20502, 41, 567, 3177, 61, 20, 29261, 16, 25745, 6, 11, 8, 20711, 20502, 16, 957, 3288, 5, 1844, 9476, 772, 1820, 18, 3, 55, 3297, 7, 2837, 2423, 948, 869, 2423, 9175, 5824, 5458, 4379, 2911, 1647, 4531, 17881, 7, 26241, 2416, 5716, 17881, 3, 104, 2386, 13674, 11390, 7, 10, 27710, 104, 3420, 8498, 774, 2386, 13674, 11390, 7, 1076, 31, 7, 8498, 783, 1539, 41, 16660, 104, 16968, 3, 104, 5528, 2386, 13674, 11390, 7, 1076, 31, 7, 8498, 9385, 2386, 13674, 11390, 7, 2386, 2386, 1, 37, 1360, 104, 1755, 10400, 9, 20, 40, 419, 63, 47, 8, 3, 20056, 189, 25522, 13, 8, 10400, 9, 20, 40, 419, 63, 41, 5751, 192, 9385, 213, 192, 8374, 4182, 7, 130, 1944, 137, 86, 165, 926, 1910, 6, 8, 8969, 130, 9552, 3, 9, 286, 16, 8, 6503, 104, 2658, 3, 5078, 4795, 5578, 3815, 563, 1726, 6, 983, 48, 286, 47, 28475, 15, 26, 365, 8, 9468, 4616, 13, 8, 2847, 7765, 308, 4481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 1, 8, 12063, 18, 88, 17591, 1561, 15, 7, 16, 112, 3362, 17451, 130, 7814, 323, 3, 5, 1, 68, 167, 3169, 5529, 13, 66, 3, 6, 3, 15, 26, 2239, 341, 410, 3, 29, 31, 17, 214, 572, 3, 5, 1, 80, 487, 7295, 47, 24, 8, 861, 3, 31, 7, 643, 47, 914, 15092, 53, 8, 2959, 3619, 492, 95, 24, 1025, 3, 88, 17591, 3, 5, 1, 11, 38, 3, 9, 17009, 3, 6, 8, 861, 3, 4774, 6802, 3, 6, 5665, 6979, 1222, 323, 3, 5, 1, 8, 119, 5113, 47, 24, 8, 861, 47, 12385, 12, 12929, 21, 9495, 2081, 18, 88, 47, 396, 5551, 3, 6, 396, 17509, 1597, 18, 232, 24, 2189, 3, 18728, 3, 9, 6980, 22044, 15568, 13, 8, 12063, 3, 17801, 2319, 3, 5, 1, 3, 2, 3832, 42, 8, 6182, 3, 58, 3, 31, 31, 1, 3, 88, 1380, 8, 1871, 3, 5, 1, 410, 8, 15568, 13, 8, 3, 88, 17591, 1137, 39, 643, 12, 5676, 35, 3, 58, 1, 42, 410, 39, 3, 31315, 643, 1137, 8, 3, 88, 17591, 12, 1733, 323, 3, 58, 1, 72, 952, 3, 6, 34, 47, 3, 9, 2711, 13, 8, 192, 3, 6, 1577, 128, 1843, 13, 1990, 6615, 1504, 3, 5, 1, 150, 1052, 84, 8616, 47, 1176, 3, 6, 3, 88, 11, 158, 1313, 130, 16, 3169, 3, 5, 1, 3338, 47, 59, 3, 22303, 16, 48, 1470, 3, 6, 11, 28022, 21533, 26, 3, 5, 1, 3, 15, 26, 2239, 8876, 26, 300, 8, 422, 3, 6, 2034, 924, 3, 2239, 7604, 12, 135, 16, 48, 4879, 15, 26, 1561, 3, 5, 1, 1083, 3, 6, 175, 126, 2465, 130, 3, 1092, 18, 10967, 21, 70, 3659, 3, 5, 1, 8, 161, 612, 44, 8, 14467, 47, 3, 5325, 26153, 7, 1225, 16, 1405, 18, 2264, 114, 8, 3337, 7, 11130, 57, 8, 585, 44, 31389, 9, 3, 31, 7, 7690, 7, 3, 5, 1, 3, 88, 2299, 300, 8, 2812, 3, 2239, 3, 6, 112, 7234, 14330, 11, 26321, 3, 5, 1, 70, 29967, 11, 1215, 32, 8655, 45, 31389, 9, 141, 118, 3, 18731, 11, 7544, 3, 6, 3140, 385, 97, 21, 136, 490, 4537, 7, 3, 5, 1, 3, 2935, 1422, 3, 7361, 73, 2689, 15, 26, 3, 5, 1, 46, 1297, 3, 3108, 3, 13106, 21, 8, 2545, 13, 3, 9, 126, 29082, 7, 7690, 3, 5, 1, 150, 3228, 3, 6, 3, 15, 26, 2239, 228, 15526, 270, 3, 6, 68, 34, 133, 240, 97, 3, 5, 1, 97, 8, 861, 410, 59, 43, 3, 5, 1, 3, 88, 8876, 26, 223, 44, 8, 31822, 3, 5, 1, 3, 35, 2981, 45, 146, 9441, 3, 6, 34, 47, 6843, 8, 1871, 47, 20, 19614, 2610, 3, 5, 1, 3, 15, 26, 2239, 141, 5563, 125, 3, 88, 906, 21, 3583, 22432, 9, 1947, 124, 11, 141, 34, 799, 9253, 15, 26, 11, 3566, 270, 3, 5, 1, 68, 38, 8, 861, 14833, 3, 6, 3, 88, 7865, 3, 9, 6819, 2669, 3, 5 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 3608, 1046, 2042, 7, 16, 1021, 10906, 33, 3, 9, 1012, 2387, 21, 771, 3, 12466, 277, 5, 37, 4811, 33, 557, 3, 8623, 57, 16533, 7, 6714, 291, 8987, 7, 6, 5025, 7, 13, 5784, 11, 119, 4345, 3, 10454, 1052, 300, 3, 9, 1021, 2213, 6, 11, 1021, 4345, 7, 24, 341, 16507, 16, 8, 16, 89, 11096, 26, 10113, 6, 84, 656, 34, 1842, 12, 1461, 1023, 6, 338, 8, 659, 3, 12999, 326, 13, 8, 4345, 7, 12, 3442, 46, 1023, 13, 8, 4345, 7, 5, 37, 167, 2581, 2213, 16, 8, 3043, 5937, 9, 6028, 19, 84, 65, 662, 1461, 1023, 26, 4345, 7, 5, 37, 563, 47, 44, 166, 59, 4771, 38, 46, 928, 563, 6, 68, 4811, 441, 8, 563, 130, 166, 7604, 12, 8, 1651, 1392, 8792, 5209, 2125, 41, 6302, 17419, 201, 250, 34, 3217, 1126, 2426, 11, 2357, 3, 2172, 28, 192, 4676, 1637, 5, 3462, 865, 34, 1632, 964, 24, 10615, 17419, 19, 769, 8481, 1599, 26, 139, 386, 1637, 10, 8, 2740, 1608, 9, 18, 566, 127, 11697, 440, 6028, 6, 8, 1184, 77, 9, 6028, 11, 8, 3043, 5937, 9, 6028, 5, 37, 2756, 222, 2213, 16, 8, 6028, 19, 8, 3805, 2213, 3726, 220, 2773, 4198, 6, 28, 3, 9, 3, 5628, 4900, 686, 13, 272, 1298, 553, 152, 29, 11, 46, 10320, 20722, 13, 2853, 2394, 3, 5, 37, 6028, 92, 2579, 633, 71, 18, 6137, 11, 377, 18, 6137, 4811, 6, 224, 38, 20336, 1957, 3380, 9, 15, 6, 8383, 3, 4225, 3264, 6, 2208, 14493, 77, 127, 440, 11, 6157, 3043, 5937, 9, 15, 5, 94, 92, 2579, 633, 119, 7660, 4811, 6, 224, 38, 584, 2368, 3449, 411, 16310, 159, 6, 3, 5934, 11000, 3600, 7, 6, 309, 439, 13918, 159, 6, 584, 2394, 1298, 411, 16310, 159, 11, 350, 683, 586, 4608, 5, 37, 4811, 3726, 3, 23702, 4177, 11, 3726, 220, 3449, 4177, 33, 724, 13, 8, 563, 28, 1461, 1023, 26, 12544, 8987, 7, 5, 1610, 92, 6792, 13, 4676, 22716, 10906, 11, 1735, 1637, 3, 16627, 302, 2125, 332, 518, 21531, 9, 15, 6028, 15213, 7977, 7, 17881, 7, 13879, 291, 10906, 3043, 5937, 9, 41, 8056, 6714, 257, 61, 1, 27, 122, 18530, 302, 2457, 96, 329, 362, 138, 121, 8554, 35, 15, 11611, 19, 3, 9, 1013, 3850, 24694, 3122, 38, 3, 9, 8541, 13, 8, 868, 11993, 13, 1013, 2648, 5, 71, 1144, 13, 8, 14179, 7383, 2477, 41, 9089, 1220, 201, 3, 88, 19, 8, 1088, 31, 7, 19429, 2488, 16, 8, 1117, 1244, 5, 8554, 35, 15, 11611, 4657, 5815, 112, 2353, 11, 1088, 2488, 6, 11591, 449, 8554, 35, 15, 11611, 6, 16, 12876, 5, 216, 47, 3150, 3, 9, 10516, 6098, 322, 16, 8, 5708, 2298, 152, 9, 4593, 16492, 485, 5, 17881, 7, 26241, 2416, 1363, 27, 122, 18530, 302, 2457, 8554, 35, 15, 11611, 3, 104, 12876, 13, 1013, 2648, 27, 122, 18530, 302, 2457, 8554, 35, 15, 11611, 3, 104, 2449, 31, 7, 11993, 5753, 151, 30615, 687, 151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25, 33, 3, 9, 520, 32, 12644, 7059, 3, 6, 68, 25, 33, 3654, 269, 3, 5, 1, 25, 214, 24, 3, 6, 3, 17396, 969, 3, 58, 1, 25, 33, 3654, 269, 3, 5, 1, 3, 23, 3, 31, 162, 141, 3, 9, 385, 351, 28, 887, 3, 5, 1, 25, 1509, 3, 9, 1158, 8988, 3, 5, 1, 79, 3, 31, 60, 7623, 3, 5, 1, 66, 13, 135, 33, 1327, 68, 7623, 3, 5, 1, 79, 212, 3, 29, 31, 17, 1190, 1452, 45, 692, 8, 378, 79, 103, 3, 5, 1, 79, 3, 31, 60, 114, 1082, 3, 5, 1, 79, 103, 125, 25, 817, 3, 31, 15, 51, 3, 5, 3, 31, 31, 1, 3, 2, 8, 2102, 25, 1432, 33, 114, 24, 21, 417, 3, 5, 3, 31, 31, 1, 3, 23, 3, 31, 51, 1631, 3, 6, 82, 10786, 3, 31, 7, 59, 114, 24, 11, 3, 88, 65, 3, 29, 31, 17, 664, 661, 640, 1321, 114, 36, 208, 42, 6397, 989, 9, 893, 3, 5, 1, 3, 2, 39, 10786, 19, 8, 6025, 13, 8, 418, 3, 5, 1, 78, 258, 132, 3, 31, 7, 90, 29, 29, 63, 3, 5, 1, 82, 200, 1565, 3, 6, 11, 82, 4806, 3, 31, 7, 18124, 3, 5, 3, 31, 31, 1, 3, 2, 78, 125, 25, 243, 81, 3542, 10669, 11, 90, 29, 29, 63, 116, 62, 130, 5188, 7797, 365, 8, 4716, 19, 1176, 3, 5, 3, 31, 31, 1, 3, 2, 3, 9, 418, 13, 2827, 12, 34, 3, 5, 1, 128, 3, 6, 131, 3, 24637, 3, 5, 1, 68, 8, 2827, 19, 3, 6, 90, 29, 29, 63, 11, 3542, 10669, 877, 544, 552, 3, 23, 50, 17, 4513, 2400, 3, 88, 40, 35, 3, 5, 1, 39, 2039, 141, 3, 9, 1400, 116, 255, 435, 91, 24, 90, 29, 29, 63, 47, 352, 28, 3542, 10669, 3, 5, 1, 255, 2997, 21, 9824, 34, 3, 5, 1, 255, 5591, 7, 66, 178, 3, 157, 202, 776, 3, 31, 7, 3, 5, 1, 255, 317, 7, 39, 384, 19, 394, 145, 69, 7, 3, 5, 1, 78, 3542, 10669, 11, 90, 29, 29, 63, 141, 12, 14801, 300, 3, 5, 1, 68, 258, 116, 3, 23, 708, 352, 28, 3, 88, 40, 35, 3, 6, 90, 29, 29, 63, 1500, 3, 88, 1114, 160, 396, 3, 5, 1, 3, 88, 808, 160, 11, 255, 133, 3, 29, 31, 17, 217, 140, 7595, 3, 6, 21, 3, 9, 298, 3, 5, 1, 258, 3, 88, 40, 35, 11, 3, 23, 708, 14801, 53, 300, 30, 90, 29, 29, 63, 3, 5, 3, 31, 31, 1, 3, 2, 78, 3, 88, 40, 35, 47, 90, 29, 29, 63, 3, 31, 7, 3202, 3, 55, 1, 25, 131, 410, 3, 29, 31, 17, 114, 34, 3, 9, 829, 418, 3, 5, 3, 31, 31, 1, 3, 2, 6979, 95, 3, 5, 1, 25, 54, 7280, 48, 136, 194, 25, 241, 3, 5, 1, 78, 39, 22250, 4682, 140, 28, 3, 88, 40, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]