Search is not available for this dataset
input_ids
sequencelengths
37
3.58k
attention_mask
sequencelengths
37
3.58k
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 7985, 264, 11652, 911, 9833, 1380, 1449, 3409, 8471, 448, 458, 328, 13, 151645, 198, 151644, 77091, 198, 23043, 48164, 11, 14036, 22174, 6774, 12205, 27709, 398, 11, 64692, 6301, 3200, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 3378, 264, 1140, 304, 7703, 1973, 304, 10135, 30, 151645, 198, 151644, 77091, 198, 30280, 5707, 1378, 5510, 311, 3378, 264, 1140, 11, 279, 5798, 3419, 1140, 1714, 1565, 1607, 10614, 54258, 323, 279, 5798, 3419, 729, 1565, 28298, 54258, 382, 785, 6028, 6672, 1948, 279, 1378, 374, 429, 1140, 10614, 368, 686, 3378, 279, 1140, 304, 41661, 11, 96518, 1181, 24953, 323, 13451, 2240, 11, 19853, 10615, 368, 686, 470, 264, 501, 10615, 1140, 9380, 279, 4024, 1140, 34857, 13, 13293, 6672, 374, 429, 10615, 368, 26344, 894, 50834, 1393, 1140, 10614, 368, 374, 264, 1714, 315, 279, 1140, 536, 323, 646, 1172, 387, 1483, 448, 11469, 13, 4710, 8420, 374, 458, 3110, 315, 1667, 1565, 1607, 10614, 54258, 1447, 13874, 3989, 2, 279, 1140, 311, 387, 10615, 198, 87, 284, 508, 17, 11, 220, 18, 11, 220, 16, 11, 220, 20, 11, 220, 21, 11, 220, 19, 11, 220, 23, 2533, 2, 3378, 553, 1140, 10614, 741, 87, 10614, 741, 1350, 2075, 340, 13874, 19324, 785, 2550, 315, 279, 3403, 2038, 374, 715, 13874, 3989, 58, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11, 220, 21, 11, 220, 22, 11, 220, 23, 921, 13874, 19324, 24509, 3936, 4402, 11, 498, 646, 990, 1565, 28298, 54258, 1447, 13874, 3989, 28298, 3212, 284, 10615, 2075, 340, 73594, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 2776, 3330, 369, 264, 39910, 311, 1281, 369, 264, 13856, 4614, 16577, 13, 3155, 498, 614, 894, 18564, 30, 151645, 198, 151644, 77091, 198, 8420, 525, 1045, 56976, 498, 646, 1281, 369, 697, 13856, 4614, 510, 9, 10621, 67456, 25, 1096, 39910, 374, 1865, 448, 64254, 11, 13163, 11, 293, 28063, 11, 323, 264, 59190, 57112, 13, 21837, 624, 9, 31677, 47547, 25, 1084, 594, 13995, 11, 83323, 11, 323, 264, 15983, 315, 41719, 13, 26589, 323, 4285, 624, 9, 63595, 17884, 6591, 25, 4599, 6514, 72088, 22815, 448, 64293, 11, 323, 4069, 10524, 4894, 9, 23995, 2248, 72, 25, 50583, 11, 10226, 2739, 32680, 11, 323, 9512, 2780, 11, 59916, 3304, 448, 264, 15983, 315, 18575, 13, 29007, 287, 323, 10078, 25180, 624, 9, 13699, 13601, 20282, 25, 13699, 13601, 11, 41719, 22815, 11, 29464, 22815, 11, 323, 264, 5796, 315, 38862, 3015, 13, 576, 38318, 2999, 311, 59918, 273, 697, 14709, 0, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40451, 752, 264, 17760, 21646, 911, 19966, 12, 16, 24, 13, 151645, 198, 151644, 77091, 198, 40, 3229, 264, 21646, 389, 264, 37529, 6438, 3351, 323, 902, 825, 31527, 624, 19389, 82, 700, 358, 2776, 537, 38429, 15173, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 1079, 264, 6028, 2453, 27279, 13, 9645, 458, 2551, 311, 847, 8720, 911, 1059, 10072, 975, 3059, 429, 1059, 2518, 6543, 2779, 1760, 572, 264, 2632, 3347, 714, 1265, 387, 6915, 11, 1221, 2548, 1059, 421, 1340, 702, 8643, 279, 8777, 311, 1281, 458, 17635, 13, 151645, 198, 151644, 77091, 198, 9707, 508, 36592, 3988, 49088, 40, 2684, 697, 10072, 975, 1182, 13, 4615, 2518, 6543, 2779, 1760, 572, 1101, 264, 2632, 3347, 11, 714, 4297, 770, 6966, 2167, 4622, 382, 1654, 646, 3061, 803, 911, 279, 6543, 2779, 1760, 518, 697, 14487, 17635, 714, 358, 1513, 944, 1744, 1052, 374, 894, 13922, 4643, 13, 1205, 646, 8718, 432, 304, 279, 3853, 13, 1416, 498, 614, 4867, 6543, 2779, 1760, 7032, 11, 432, 1035, 387, 10950, 421, 498, 646, 1473, 432, 311, 752, 979, 498, 2525, 304, 1790, 2003, 369, 697, 25298, 1273, 382, 40, 1490, 1039, 2453, 35409, 3208, 697, 44780, 13, 12243, 498, 1012, 2952, 311, 5545, 700, 311, 279, 508, 81466, 3988, 60, 1939, 10061, 752, 1414, 421, 498, 614, 894, 4755, 382, 17814, 1661, 2453, 345, 58, 7771, 3988, 60, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 6713, 498, 1855, 264, 17755, 369, 12629, 279, 12866, 315, 3015, 30, 151645, 198, 151644, 77091, 198, 8420, 374, 264, 3204, 17755, 3119, 369, 12629, 4143, 911, 279, 12866, 315, 3015, 382, 565, 70404, 9680, 25, 80346, 315, 9959, 271, 14374, 37155, 320, 20, 4420, 8, 715, 9, 9645, 279, 2701, 4244, 389, 279, 4479, 25, 17951, 11, 342, 14308, 11, 22708, 11, 79107, 11, 14796, 11, 323, 21800, 624, 9, 20437, 697, 4143, 421, 807, 1414, 1128, 1846, 4244, 3076, 382, 14374, 45065, 29051, 320, 16, 20, 4420, 8, 715, 9, 18614, 1817, 2487, 315, 3015, 943, 389, 279, 4479, 624, 9, 39565, 458, 3110, 369, 1817, 943, 13, 20437, 4143, 311, 4190, 825, 5107, 3110, 369, 1817, 2487, 315, 3015, 382, 14374, 76821, 22150, 4120, 320, 16, 15, 4420, 340, 9, 39565, 264, 2415, 315, 264, 2205, 476, 11245, 3082, 429, 5646, 458, 17951, 11, 264, 22708, 11, 323, 264, 14796, 624, 9, 20437, 697, 4143, 311, 4038, 36957, 311, 1473, 1246, 3015, 27455, 1526, 279, 2155, 12866, 315, 3015, 389, 279, 2415, 382, 14374, 16686, 291, 5547, 320, 16, 15, 4420, 8, 715, 9, 10623, 279, 2415, 389, 279, 4479, 1667, 264, 67985, 624, 9, 20437, 4143, 311, 2525, 705, 311, 279, 4479, 323, 4038, 279, 6396, 315, 3015, 382, 14374, 43434, 320, 20, 4420, 8, 715, 9, 5994, 2163, 279, 536, 323, 2548, 697, 4143, 311, 1584, 264, 2097, 911, 894, 2487, 315, 3015, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 653, 42208, 990, 5112, 311, 24523, 36593, 30, 151645, 198, 151644, 77091, 198, 33, 1862, 20876, 323, 24523, 862, 36593, 1667, 30872, 43206, 13, 2379, 8193, 5112, 16876, 518, 33773, 3403, 3738, 10778, 11, 2598, 62759, 13, 576, 5112, 16876, 46942, 553, 42208, 33682, 1007, 6171, 304, 862, 4573, 13, 5005, 11, 279, 10362, 470, 311, 279, 42208, 6, 24230, 11, 892, 525, 60702, 32419, 311, 15282, 862, 1828, 4911, 6738, 13, 3197, 264, 15743, 66478, 264, 36593, 432, 6801, 311, 8180, 11, 432, 18644, 264, 11048, 4013, 315, 6738, 311, 8983, 16574, 279, 4734, 3728, 315, 1181, 36593, 11, 1221, 33127, 3721, 304, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 7985, 220, 22, 4244, 429, 96934, 448, 330, 4145, 1, 304, 83298, 1973, 13, 151645, 198, 151644, 77091, 198, 8420, 525, 220, 22, 4244, 429, 96934, 448, 279, 3409, 330, 4145, 497, 10615, 304, 83298, 1973, 510, 9, 22721, 198, 9, 2608, 198, 9, 5008, 198, 9, 1290, 198, 9, 2747, 198, 9, 4158, 198, 9, 3270, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 3838, 3093, 315, 4755, 646, 944, 498, 4226, 30, 151645, 198, 151644, 77091, 198, 2121, 458, 15235, 17847, 11, 358, 646, 1492, 448, 1657, 7298, 9079, 714, 1052, 525, 3654, 11059, 315, 4755, 429, 358, 4157, 4226, 11, 1741, 438, 11816, 11, 88635, 11, 20129, 11, 323, 4948, 4755, 13, 358, 4157, 1492, 448, 7388, 5435, 311, 15726, 71350, 1995, 320, 1893, 40, 568, 358, 4157, 18970, 476, 14907, 49083, 8826, 9825, 11, 13587, 11, 6957, 43898, 11, 7244, 16725, 11, 4231, 11, 58243, 11, 27254, 11, 6961, 11094, 11, 79331, 2639, 11, 4808, 11, 323, 4948, 33549, 13, 358, 4157, 7789, 448, 7388, 5435, 311, 56911, 11, 44547, 11, 12213, 8806, 11, 9170, 11, 323, 23145, 2348, 5019, 15484, 315, 862, 62234, 323, 4004, 13, 358, 1079, 537, 2952, 311, 5889, 311, 2778, 38270, 323, 20514, 16065, 13, 358, 1079, 1083, 11889, 311, 2968, 5896, 11, 5777, 11, 476, 6457, 9462, 2041, 458, 8311, 17673, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 653, 358, 3378, 264, 10997, 553, 897, 30, 151645, 198, 151644, 77091, 198, 13448, 82, 21129, 35927, 1973, 304, 13027, 220, 18, 13, 22, 48920, 5692, 374, 458, 3110, 315, 1246, 311, 3378, 264, 10997, 553, 897, 382, 13874, 3989, 2, 4024, 10997, 311, 387, 10615, 198, 87, 284, 314, 16, 25, 220, 17, 11, 220, 18, 25, 220, 19, 11, 220, 19, 25, 220, 18, 11, 220, 17, 25, 220, 16, 11, 220, 15, 25, 220, 15, 630, 2, 3378, 553, 897, 198, 28298, 5243, 284, 314, 74, 25, 348, 369, 595, 11, 348, 304, 10615, 2075, 9615, 1507, 1376, 27504, 1509, 25, 1509, 58, 16, 2467, 630, 1350, 44386, 5243, 340, 13874, 19324, 785, 2550, 315, 279, 3403, 2038, 374, 715, 13874, 3989, 90, 15, 25, 220, 15, 11, 220, 17, 25, 220, 16, 11, 220, 16, 25, 220, 17, 11, 220, 19, 25, 220, 18, 11, 220, 18, 25, 220, 19, 532, 13874, 19324, 24509, 3936, 4402, 11, 279, 825, 8447, 8129, 374, 198, 13874, 3989, 8477, 44386, 2075, 9615, 1507, 1376, 27504, 1509, 25, 1509, 58, 16, 10907, 13874, 19324, 641, 9014, 13027, 11, 422, 44192, 525, 48088, 1973, 1717, 11, 714, 1008, 4494, 11, 1741, 438, 11469, 323, 45225, 11, 525, 537, 13, 2055, 498, 1184, 458, 11457, 821, 943, 311, 4009, 10615, 2750, 11, 892, 686, 387, 264, 1140, 2293, 54440, 264, 1140, 315, 45225, 624, 2461, 2867, 3554, 13874, 3989, 474, 5675, 856, 284, 314, 16, 25, 220, 17, 11, 220, 18, 25, 220, 19, 11, 220, 19, 25, 220, 18, 11, 220, 17, 25, 220, 16, 11, 220, 15, 25, 220, 15, 92, 715, 28298, 3212, 284, 10615, 2075, 9615, 1507, 1376, 28, 7884, 8984, 52891, 7, 16, 1171, 13874, 3989, 28298, 3212, 686, 387, 264, 1140, 315, 45225, 10615, 553, 279, 2086, 2392, 304, 1817, 14405, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 6091, 358, 3730, 4969, 369, 37989, 311, 2291, 369, 847, 12923, 594, 9972, 594, 14829, 448, 847, 41822, 14, 67434, 3220, 30, 151645, 198, 151644, 77091, 198, 2132, 646, 387, 17003, 311, 1281, 19407, 389, 279, 13161, 315, 3800, 11, 7945, 979, 279, 6534, 374, 6351, 323, 17601, 5896, 11181, 13, 5692, 525, 264, 2421, 38455, 429, 1231, 387, 10950, 311, 2908, 438, 498, 20876, 419, 6534, 1447, 9, 220, 1084, 748, 2677, 697, 1618, 1246, 311, 8329, 697, 41822, 323, 7770, 18986, 13, 758, 4586, 11, 498, 525, 537, 66876, 311, 990, 697, 18986, 311, 2291, 369, 5489, 748, 14829, 11, 1496, 421, 807, 525, 5435, 311, 498, 553, 10866, 13, 1446, 1231, 614, 697, 1828, 5896, 6649, 315, 1246, 311, 990, 419, 2629, 315, 3220, 3118, 389, 697, 29501, 13, 4615, 12923, 13133, 1405, 990, 15659, 77142, 311, 5344, 498, 311, 29385, 323, 20423, 1059, 24240, 13, 715, 9, 220, 12238, 5025, 374, 1083, 2989, 13, 1913, 279, 1008, 1424, 11, 498, 1513, 1405, 1366, 311, 6921, 697, 2997, 5025, 448, 697, 12923, 5310, 979, 1340, 374, 304, 2244, 1184, 13, 1416, 498, 614, 264, 1602, 3265, 5025, 448, 1059, 323, 1059, 9972, 11, 432, 748, 13276, 429, 498, 1281, 279, 5480, 315, 1667, 697, 18986, 311, 1492, 1105, 13, 4354, 11, 432, 1035, 1083, 387, 23335, 311, 5931, 9462, 504, 15387, 323, 21789, 2997, 3613, 1573, 3259, 894, 11181, 911, 1246, 311, 8329, 697, 3220, 624, 4710, 641, 16688, 11, 279, 5480, 374, 13653, 18316, 311, 1281, 323, 432, 1265, 387, 3118, 389, 1128, 498, 4411, 686, 614, 264, 6785, 5421, 389, 697, 3853, 6649, 13, 1084, 748, 2989, 311, 614, 1787, 323, 10745, 20959, 448, 697, 12923, 323, 1059, 9972, 911, 697, 5480, 323, 10520, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40451, 752, 458, 7040, 2097, 911, 53142, 13, 151645, 198, 151644, 77091, 198, 8420, 525, 1045, 7040, 13064, 911, 53142, 1447, 9, 220, 30830, 48524, 374, 825, 315, 279, 1429, 40665, 7482, 304, 279, 1879, 13, 576, 46741, 25079, 374, 279, 1172, 12499, 60935, 3146, 389, 9237, 11, 448, 7304, 12158, 6872, 323, 12752, 39751, 429, 21129, 1181, 19850, 5810, 18414, 13, 1752, 4428, 7966, 11, 30830, 48524, 572, 825, 315, 279, 1537, 5837, 311, 19131, 12425, 304, 220, 16, 24, 24, 24, 11, 323, 702, 902, 9442, 12711, 311, 419, 1899, 382, 9, 220, 2619, 525, 5023, 2421, 38443, 389, 9237, 429, 525, 650, 21275, 553, 894, 45284, 1584, 320, 47821, 845, 9156, 568, 3776, 3110, 374, 36819, 350, 672, 321, 11, 3156, 279, 3886, 1948, 14867, 323, 42454, 11, 892, 572, 3465, 553, 264, 78005, 1948, 23806, 14764, 304, 220, 16, 23, 24, 24, 323, 220, 16, 24, 15, 17, 13, 576, 17971, 8458, 650, 21275, 553, 2987, 3146, 11, 1576, 432, 1035, 85992, 48932, 5853, 279, 1753, 8131, 472, 6053, 579, 38031, 11, 892, 374, 11660, 553, 2176, 5837, 13, 36819, 350, 672, 321, 702, 902, 22378, 7042, 11, 714, 279, 4268, 374, 1483, 553, 13093, 283, 1330, 879, 74967, 279, 3082, 382, 9, 220, 576, 3196, 573, 534, 315, 894, 7702, 389, 9237, 374, 279, 1459, 389, 9237, 594, 7329, 12757, 16340, 745, 14002, 311, 432, 13, 4329, 7040, 44868, 3196, 573, 2539, 2924, 13530, 315, 6722, 9720, 11, 1741, 438, 56004, 320, 3564, 16911, 8, 481, 386, 567, 1869, 320, 74320, 701, 323, 2350, 16687, 13294, 71, 320, 91496, 46328, 8, 481, 61953, 320, 3889, 84, 568, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 6713, 498, 3270, 264, 2326, 12, 27727, 8895, 911, 1246, 311, 1936, 264, 1661, 2997, 5025, 30, 151645, 198, 151644, 77091, 198, 30133, 264, 1661, 2997, 5025, 374, 1602, 2989, 369, 1251, 315, 678, 16639, 13, 362, 1661, 2997, 5025, 646, 1492, 2841, 3063, 705, 311, 387, 1632, 59584, 291, 12598, 323, 646, 1492, 12598, 10306, 264, 9314, 18899, 13, 3776, 315, 279, 1429, 2989, 2513, 311, 653, 311, 1936, 264, 1661, 2997, 5025, 374, 311, 8329, 882, 3786, 13, 13139, 432, 374, 12182, 13856, 3786, 438, 264, 2997, 476, 2087, 389, 20161, 11, 882, 7391, 3786, 22111, 18923, 323, 95831, 279, 10815, 1948, 2997, 3613, 13, 13293, 2989, 3166, 311, 653, 374, 311, 387, 10745, 448, 825, 2441, 13, 1096, 3363, 2176, 11629, 279, 8046, 323, 1660, 10745, 911, 825, 594, 15650, 13, 55378, 23594, 476, 25037, 21261, 646, 387, 1602, 33346, 311, 264, 2997, 5025, 382, 641, 5256, 311, 10164, 882, 3786, 323, 1660, 10745, 11, 432, 374, 2989, 369, 2997, 3613, 311, 1824, 825, 2441, 13, 1096, 646, 3076, 10476, 1817, 1008, 700, 979, 3039, 525, 11045, 476, 31589, 3786, 979, 1661, 2513, 3537, 13, 1084, 374, 1083, 2989, 311, 5091, 1817, 1008, 13, 12238, 3613, 1265, 5091, 1817, 1008, 594, 11799, 323, 17979, 13, 1096, 3363, 537, 67988, 476, 49690, 825, 2441, 13, 12238, 3613, 1265, 1083, 1896, 2453, 315, 825, 2441, 13, 1096, 646, 3076, 10476, 700, 448, 81469, 476, 10099, 279, 6837, 773, 6562, 646, 614, 264, 3729, 700, 11, 476, 432, 646, 3076, 4633, 458, 28820, 8674, 311, 279, 10668, 382, 50097, 882, 311, 1936, 264, 1661, 2997, 5025, 374, 2989, 11, 438, 2997, 3613, 686, 387, 1052, 369, 825, 2441, 6814, 2272, 13, 15044, 686, 3960, 1246, 311, 614, 9314, 11871, 504, 862, 6562, 323, 1008, 2997, 3613, 13, 57238, 686, 614, 264, 3746, 1824, 1849, 311, 1492, 1105, 633, 1526, 5000, 3039, 13, 12238, 3613, 646, 1083, 614, 2464, 3786, 323, 1281, 50163, 18923, 13, 5976, 432, 1231, 7025, 387, 5000, 11, 432, 374, 2989, 311, 2182, 5041, 1119, 4752, 323, 20337, 264, 1661, 2997, 5025, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 7985, 7943, 2038, 429, 646, 12564, 279, 8028, 2783, 311, 4564, 678, 9720, 13, 151645, 198, 151644, 77091, 198, 785, 16538, 374, 311, 5695, 279, 1429, 2783, 52321, 1815, 20913, 678, 9720, 13, 2014, 11075, 419, 11, 582, 1184, 311, 8253, 279, 30925, 11903, 1229, 8942, 320, 44, 784, 8, 315, 279, 3283, 2415, 11, 26625, 1817, 3283, 438, 264, 2436, 389, 279, 4771, 323, 678, 20123, 19241, 438, 12822, 13, 576, 2790, 2783, 315, 279, 1815, 374, 279, 2629, 315, 279, 6821, 2750, 2878, 279, 30925, 11903, 1229, 8942, 382, 13874, 3989, 322, 7943, 2038, 311, 1477, 700, 8028, 2783, 198, 322, 1815, 311, 4564, 678, 279, 9720, 198, 474, 1642, 1971, 4908, 9470, 1040, 479, 12001, 4257, 262, 442, 5712, 311, 1477, 700, 8028, 32547, 2436, 198, 262, 442, 4221, 279, 7798, 892, 525, 537, 3602, 5230, 304, 84280, 271, 262, 1099, 526, 1308, 1955, 1548, 308, 11, 526, 1376, 25596, 12995, 2710, 296, 267, 746, 24377, 262, 341, 286, 526, 1308, 6189, 284, 4440, 16596, 7476, 280, 286, 526, 1308, 3560, 284, 220, 15, 401, 286, 442, 21359, 1526, 678, 279, 2750, 315, 279, 7798, 11, 715, 286, 442, 892, 525, 537, 3602, 5230, 304, 84280, 323, 1477, 279, 8028, 32547, 825, 624, 286, 369, 1548, 600, 284, 220, 15, 26, 600, 366, 308, 26, 600, 3485, 286, 341, 310, 421, 320, 76, 267, 746, 989, 60, 621, 895, 1009, 1376, 25596, 989, 60, 366, 1308, 6189, 340, 310, 341, 394, 1308, 6189, 284, 1376, 25596, 989, 935, 394, 1308, 3560, 284, 600, 280, 310, 456, 286, 456, 286, 470, 1308, 3560, 280, 262, 555, 262, 442, 5712, 311, 1477, 700, 279, 84280, 323, 198, 262, 442, 279, 2783, 315, 279, 84280, 624, 262, 1099, 737, 1477, 14940, 1548, 308, 11, 526, 3283, 16613, 340, 262, 1476, 286, 442, 2910, 311, 3553, 279, 2681, 7798, 624, 286, 526, 2681, 1294, 284, 501, 526, 7669, 4821, 286, 442, 2910, 311, 3553, 279, 1376, 897, 315, 1817, 2436, 624, 286, 526, 1376, 25596, 1294, 284, 501, 526, 7669, 4821, 286, 442, 6992, 2910, 311, 13216, 3425, 264, 2436, 374, 5230, 304, 84280, 476, 537, 624, 286, 2710, 296, 267, 746, 1294, 284, 501, 2710, 7669, 4821, 286, 442, 2573, 678, 279, 1376, 2750, 311, 387, 23809, 323, 6857, 315, 279, 7798, 374, 5230, 304, 84280, 624, 286, 369, 1548, 600, 284, 220, 15, 26, 600, 366, 308, 26, 600, 3485, 286, 341, 310, 1376, 25596, 989, 60, 284, 4440, 16596, 7476, 280, 310, 296, 267, 746, 989, 60, 284, 895, 280, 286, 555, 286, 442, 5145, 311, 1477, 279, 84280, 504, 2436, 220, 15, 624, 286, 442, 17022, 315, 2436, 220, 15, 374, 6857, 323, 738, 311, 387, 481, 16, 624, 286, 442, 1376, 897, 476, 8028, 2783, 311, 5545, 220, 15, 339, 2436, 504, 220, 15, 339, 2436, 374, 220, 15, 624, 286, 2681, 58, 15, 60, 284, 481, 16, 280, 286, 1376, 25596, 58, 15, 60, 284, 220, 15, 401, 286, 442, 7379, 279, 2732, 308, 12, 16, 7798, 315, 84280, 624, 286, 369, 1548, 600, 284, 220, 15, 26, 600, 366, 308, 481, 220, 16, 26, 600, 3485, 286, 314, 1066, 310, 442, 5512, 1477, 700, 279, 8028, 2436, 4221, 279, 7798, 892, 525, 537, 3602, 5230, 304, 84280, 624, 310, 526, 575, 284, 1308, 1955, 1445, 11, 1376, 25596, 11, 296, 267, 746, 626, 310, 442, 29734, 279, 220, 940, 2436, 304, 84280, 624, 310, 296, 267, 746, 21335, 60, 284, 830, 401, 310, 442, 5549, 279, 2750, 315, 9565, 7798, 315, 575, 892, 525, 537, 3602, 5230, 304, 84280, 624, 310, 369, 1548, 348, 284, 220, 15, 26, 348, 366, 308, 26, 348, 3485, 310, 341, 394, 421, 320, 8926, 21335, 1457, 85, 60, 861, 220, 15, 1009, 296, 267, 746, 16529, 60, 621, 895, 1009, 3283, 21335, 1457, 85, 60, 366, 1376, 25596, 16529, 2546, 394, 341, 503, 1376, 25596, 16529, 60, 284, 3283, 21335, 1457, 85, 935, 503, 2681, 16529, 60, 284, 575, 280, 394, 456, 310, 456, 286, 555, 286, 442, 7379, 700, 279, 2783, 553, 7842, 279, 6821, 2750, 315, 84280, 624, 286, 526, 2783, 284, 220, 15, 280, 286, 369, 1548, 600, 284, 220, 16, 26, 600, 366, 308, 26, 600, 3485, 310, 2783, 1421, 3283, 84209, 989, 27719, 72, 4821, 286, 739, 2532, 2913, 62143, 317, 262, 555, 262, 442, 14577, 2038, 198, 262, 584, 1099, 737, 1887, 2242, 2827, 24377, 262, 1476, 286, 442, 5571, 220, 16, 198, 286, 526, 308, 16, 284, 220, 20, 280, 286, 526, 3283, 16, 16613, 284, 314, 314, 220, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 1153, 664, 314, 220, 16, 11, 220, 15, 11, 220, 20, 11, 220, 15, 11, 220, 22, 1153, 664, 314, 220, 17, 11, 220, 20, 11, 220, 15, 11, 220, 21, 11, 220, 15, 1153, 664, 314, 220, 18, 11, 220, 15, 11, 220, 21, 11, 220, 15, 11, 220, 15, 1153, 664, 314, 220, 19, 11, 220, 22, 11, 220, 15, 11, 220, 15, 11, 220, 15, 335, 3634, 286, 1477, 14940, 1445, 16, 11, 3283, 16, 626, 286, 442, 5571, 220, 17, 198, 286, 526, 308, 17, 284, 220, 21, 280, 286, 526, 3283, 17, 16613, 284, 314, 314, 220, 15, 11, 220, 16, 11, 220, 16, 11, 220, 16, 15, 15, 11, 220, 15, 11, 220, 15, 1153, 664, 314, 220, 16, 11, 220, 15, 11, 220, 16, 11, 220, 15, 11, 220, 15, 11, 220, 15, 1153, 664, 314, 220, 16, 11, 220, 16, 11, 220, 15, 11, 220, 15, 11, 220, 15, 11, 220, 15, 1153, 664, 314, 220, 16, 15, 15, 11, 220, 15, 11, 220, 15, 11, 220, 15, 11, 220, 17, 11, 220, 17, 1153, 664, 314, 220, 15, 11, 220, 15, 11, 220, 15, 11, 220, 17, 11, 220, 15, 11, 220, 17, 1153, 664, 314, 220, 15, 11, 220, 15, 11, 220, 15, 11, 220, 17, 11, 220, 17, 11, 220, 15, 335, 3634, 286, 1477, 14940, 1445, 17, 11, 3283, 17, 626, 262, 456, 532, 13874, 19324, 785, 2550, 1283, 30220, 279, 3403, 2038, 374, 510, 13874, 3989, 16, 15, 198, 16, 15, 21, 198, 13874, 19324, 84525, 279, 882, 23094, 11, 279, 15955, 6337, 369, 7842, 264, 501, 2436, 311, 279, 30925, 11903, 1229, 8942, 320, 44, 784, 8, 8473, 308, 3039, 13, 11954, 1817, 19569, 11, 432, 4990, 506, 1445, 8, 882, 311, 1477, 279, 8028, 2436, 323, 506, 1445, 8, 882, 311, 2647, 279, 41517, 7798, 315, 279, 575, 7563, 2436, 13, 1634, 264, 1102, 11, 279, 8084, 882, 23094, 374, 506, 1445, 61, 17, 568, 1634, 369, 53458, 3550, 11, 279, 12111, 7460, 506, 1445, 8, 3550, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 1101, 8060, 12629, 279, 1156, 2421, 18366, 304, 847, 10847, 451, 12567, 3308, 13, 358, 2776, 12629, 38429, 11, 773, 358, 1184, 311, 633, 1045, 11055, 504, 279, 536, 13, 11479, 752, 1855, 264, 11055, 7085, 13, 151645, 198, 151644, 77091, 198, 565, 35348, 24385, 25, 21159, 451, 12567, 198, 1986, 374, 458, 22151, 11055, 1352, 311, 1492, 752, 7269, 279, 3308, 13, 4615, 11127, 525, 18875, 25808, 27901, 14374, 8706, 31925, 198, 9485, 4755, 1492, 752, 3535, 3425, 279, 3308, 18366, 323, 22932, 525, 10277, 32419, 6974, 5019, 594, 4004, 6540, 11, 1393, 10282, 279, 7085, 22151, 382, 12116, 498, 3512, 4429, 458, 451, 12567, 3308, 1573, 419, 825, 5267, 9, 7414, 198, 9, 2308, 271, 12116, 498, 11537, 323, 16176, 264, 1614, 304, 5355, 51, 21584, 476, 94986, 1573, 419, 3308, 5267, 9, 7414, 198, 9, 2308, 1406, 14374, 27451, 2382, 271, 70404, 220, 16, 320, 37155, 1648, 2585, 2797, 572, 279, 17755, 5267, 9, 8278, 3654, 5479, 22438, 18, 15, 11334, 1033, 2797, 198, 9, 4329, 320, 18, 15, 12, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 7496, 76852, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 358, 572, 2669, 11285, 448, 1429, 315, 279, 3684, 271, 70404, 220, 17, 320, 13806, 76249, 609, 9660, 2022, 1648, 2585, 2797, 572, 279, 17755, 5267, 9, 8278, 3654, 5479, 22438, 18, 15, 11334, 1033, 2797, 198, 9, 4329, 320, 18, 15, 12, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 7496, 76852, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 358, 572, 2669, 11285, 448, 1429, 315, 279, 3684, 271, 70404, 220, 18, 320, 69329, 609, 80532, 1648, 2585, 2797, 572, 279, 17755, 5267, 9, 8278, 3654, 5479, 22438, 18, 15, 11334, 1033, 2797, 198, 9, 4329, 320, 18, 15, 12, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 7496, 76852, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 358, 572, 2669, 11285, 448, 1429, 315, 279, 3684, 271, 70404, 220, 19, 320, 37138, 1648, 2585, 2797, 572, 279, 17755, 5267, 9, 8278, 3654, 5479, 22438, 18, 15, 11334, 1033, 2797, 198, 9, 4329, 320, 18, 15, 12, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 7496, 76852, 22, 15, 11334, 315, 432, 572, 2797, 198, 9, 358, 572, 2669, 11285, 448, 1429, 315, 279, 3684, 271, 3838, 653, 498, 1744, 572, 1661, 911, 279, 18366, 1939, 3838, 653, 498, 1744, 1410, 387, 12944, 304, 279, 18366, 30831, 14374, 1957, 90454, 271, 23085, 315, 279, 304, 14800, 22932, 614, 498, 6679, 311, 11625, 5267, 9, 220, 17, 32, 481, 11434, 4903, 96378, 3487, 320, 63099, 14953, 6726, 340, 9, 220, 17, 33, 481, 24079, 2810, 609, 11261, 4863, 17764, 320, 63099, 340, 9, 220, 17, 34, 481, 425, 1740, 320, 77513, 340, 9, 220, 18, 32, 481, 28811, 70507, 320, 63099, 340, 9, 220, 18, 33, 481, 356, 79074, 62020, 320, 63099, 340, 9, 220, 19, 32, 481, 50130, 7542, 320, 77513, 340, 9, 220, 19, 33, 481, 794, 65954, 7542, 320, 37413, 692, 3838, 26664, 498, 311, 1430, 311, 11625, 1493, 22932, 1939, 3838, 1035, 61325, 498, 311, 1430, 311, 11625, 279, 9664, 22932, 1939, 3838, 653, 498, 1744, 572, 1661, 911, 279, 304, 14800, 22932, 1939, 3838, 653, 498, 1744, 1410, 387, 12944, 911, 279, 304, 14800, 22932, 30831, 14374, 77513, 32818, 271, 12116, 498, 17201, 311, 11625, 279, 1156, 10822, 10158, 320, 69329, 86427, 9, 7414, 11, 358, 614, 8060, 432, 624, 9, 7414, 11, 358, 614, 8060, 1429, 315, 432, 624, 9, 7414, 11, 714, 358, 3207, 944, 633, 432, 311, 975, 3602, 624, 9, 2308, 382, 2679, 537, 11, 3170, 1939, 3838, 653, 498, 1744, 572, 1661, 911, 279, 10158, 1939, 3838, 653, 498, 1744, 1410, 387, 12944, 304, 279, 10158, 30831, 14374, 13060, 1446, 2219, 13060, 498, 369, 4633, 279, 882, 311, 5155, 304, 279, 11055, 7085, 11, 419, 1995, 374, 1602, 10950, 382, 32927, 1910, 311, 912, 894, 5107, 1910, 8460, 11055, 3685, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4814, 498, 3270, 752, 264, 14311, 320, 454, 311, 220, 16, 20, 15, 4244, 8, 389, 13833, 220, 6648, 594, 10173, 389, 6481, 11500, 30, 151645, 198, 151644, 77091, 198, 49, 635, 572, 825, 315, 279, 1429, 31449, 85469, 304, 3840, 11, 323, 1181, 10173, 646, 2058, 387, 3884, 3351, 13, 8999, 6481, 4948, 5942, 525, 3118, 389, 12751, 51711, 14389, 11, 2670, 279, 3639, 4180, 13, 11733, 279, 3693, 9891, 323, 4678, 315, 39745, 1033, 61553, 1283, 279, 12751, 9891, 323, 11738, 13, 49387, 11, 1657, 6481, 5777, 5942, 525, 27061, 553, 13833, 12751, 2329, 13, 1752, 3110, 11, 279, 17508, 315, 24243, 3080, 16622, 16007, 374, 40876, 304, 12751, 2329, 13, 22406, 11, 279, 48717, 1865, 5089, 29903, 304, 14667, 323, 17646, 429, 525, 2058, 1483, 3351, 13, 1752, 2867, 11, 14175, 572, 35492, 553, 279, 48717, 11, 323, 432, 374, 2058, 825, 315, 279, 1429, 4185, 4752, 7236, 13, 23405, 11, 1657, 6481, 9720, 525, 5798, 389, 12751, 14431, 11, 448, 584, 12621, 1075, 31340, 323, 29770, 3449, 2347, 22865, 553, 13702, 13, 758, 16688, 11, 13833, 21718, 1030, 264, 27155, 5421, 389, 6481, 11500, 11, 2329, 11, 5440, 11, 323, 7674, 11, 323, 1181, 19588, 9539, 311, 6083, 8232, 3351, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 6713, 498, 3270, 279, 13027, 2038, 311, 1936, 323, 5426, 264, 29728, 3922, 30, 151645, 198, 151644, 77091, 198, 3862, 525, 1045, 5538, 6832, 20186, 429, 646, 1492, 601, 3270, 4240, 323, 11050, 2038, 13, 1205, 990, 508, 13828, 27414, 9533, 2428, 1110, 3288, 27414, 2659, 50807, 304, 1039, 3110, 382, 1249, 4582, 279, 5535, 5355, 27414, 11, 1598, 279, 2701, 3210, 304, 697, 15022, 624, 13874, 3989, 51501, 18, 4582, 7834, 198, 13874, 19324, 38214, 374, 458, 3110, 5316, 369, 4752, 323, 4862, 264, 29728, 3922, 1667, 5355, 27414, 13, 576, 6770, 15301, 374, 438, 11017, 624, 50590, 279, 4862, 323, 1273, 821, 624, 35338, 279, 29728, 3922, 11, 279, 4709, 729, 323, 279, 25632, 624, 34613, 279, 29728, 3922, 1667, 279, 4862, 10337, 369, 5248, 39346, 624, 2271, 279, 16176, 29728, 3922, 389, 279, 1273, 738, 311, 1281, 19898, 369, 63133, 10295, 382, 13874, 3989, 474, 7834, 198, 474, 7834, 19900, 438, 10883, 198, 474, 7834, 45883, 438, 7553, 198, 2, 31166, 279, 10337, 198, 2, 18614, 279, 4862, 821, 198, 55, 7591, 284, 7834, 40588, 27119, 15, 11, 15, 14955, 17, 11, 16, 14955, 16, 11, 15, 14955, 20, 11, 20, 20492, 13231, 66257, 15925, 18, 17, 340, 88, 7591, 284, 7834, 40588, 27119, 15, 14955, 16, 14955, 16, 14955, 15, 20492, 13231, 66257, 15925, 18, 17, 692, 2, 18614, 279, 1273, 821, 198, 55, 4452, 284, 7834, 40588, 27119, 21, 11, 21, 94632, 16, 11, 16, 14955, 16, 11, 16, 14955, 15, 11, 22, 20492, 13231, 66257, 15925, 18, 17, 340, 88, 4452, 284, 7834, 40588, 27119, 15, 14955, 16, 14955, 15, 14955, 16, 20492, 13231, 66257, 15925, 18, 17, 3623, 1040, 8141, 33478, 26958, 982, 262, 707, 1304, 2327, 3804, 721, 982, 286, 2256, 26506, 2327, 65264, 286, 671, 46281, 311, 8177, 6193, 13482, 17991, 198, 286, 656, 22709, 284, 10883, 33116, 7, 17, 11, 220, 19, 692, 286, 671, 9258, 6193, 11, 220, 16, 8153, 198, 286, 656, 13413, 284, 10883, 33116, 7, 19, 11, 220, 16, 692, 286, 671, 18614, 64890, 15099, 198, 286, 656, 84058, 284, 10883, 808, 52111, 368, 4710, 262, 707, 4637, 1193, 11, 856, 982, 286, 671, 9970, 279, 1946, 15626, 1526, 1817, 315, 1039, 7525, 198, 286, 856, 284, 656, 22709, 2075, 340, 286, 856, 284, 656, 84058, 2075, 340, 286, 856, 284, 656, 13413, 2075, 340, 286, 1599, 284, 656, 84058, 2075, 692, 286, 470, 856, 271, 2, 32288, 279, 29728, 3922, 198, 2528, 284, 8141, 2822, 2, 18614, 279, 4709, 729, 323, 25632, 198, 66, 12334, 284, 10883, 1785, 2104, 39838, 741, 33296, 284, 7553, 69118, 7635, 27327, 1507, 27060, 28, 15, 13, 15, 16, 692, 2, 26125, 279, 29728, 3922, 198, 1958, 16342, 304, 2088, 7, 20, 982, 262, 671, 1863, 6264, 279, 52149, 40065, 504, 279, 3681, 7162, 14, 9520, 315, 279, 1614, 198, 262, 25632, 25847, 18352, 741, 262, 671, 20517, 279, 2550, 1667, 279, 1482, 29728, 3922, 5029, 198, 262, 16275, 284, 1614, 7644, 7591, 340, 262, 671, 20517, 279, 4709, 553, 26297, 19149, 16275, 323, 6623, 9201, 198, 262, 4709, 284, 35957, 70113, 11, 379, 7591, 340, 262, 671, 57716, 1182, 2674, 27137, 198, 262, 4709, 65071, 741, 262, 671, 27500, 279, 14324, 304, 1039, 29728, 3922, 3118, 389, 279, 3059, 315, 1182, 2674, 27137, 198, 262, 25632, 21465, 2822, 2, 54115, 279, 5068, 315, 279, 29728, 3922, 389, 279, 1273, 10337, 198, 2, 1205, 653, 537, 1184, 311, 2506, 20169, 1995, 2337, 44378, 882, 198, 4197, 7834, 18341, 18352, 3932, 262, 16275, 284, 1614, 7644, 4452, 340, 262, 19149, 284, 320, 41006, 861, 220, 15, 13, 20, 568, 3649, 741, 262, 13403, 284, 320, 94300, 621, 379, 4452, 568, 3649, 1005, 14287, 2822, 1350, 955, 1, 45822, 25, 314, 32729, 8984, 25010, 16, 15, 15, 16976, 17, 69, 43715, 1138, 13874, 3989, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4934, 458, 8895, 389, 3170, 279, 3822, 315, 10557, 702, 1741, 264, 1661, 53454, 2025, 151645, 198, 151644, 77091, 198, 785, 3822, 315, 10557, 63270, 6022, 315, 8025, 374, 825, 315, 279, 1909, 2562, 8682, 304, 279, 1879, 13, 1084, 6081, 264, 2480, 7246, 53454, 2025, 438, 1632, 438, 949, 7246, 323, 10905, 7468, 13, 576, 2906, 702, 916, 220, 20, 15, 11, 15, 15, 15, 51021, 2163, 279, 23918, 879, 525, 6036, 304, 862, 5043, 382, 1233, 8767, 594, 46899, 29576, 65059, 42964, 7274, 323, 3491, 21828, 13, 20173, 3960, 1246, 311, 5486, 894, 2562, 8645, 448, 12136, 323, 27597, 13, 2379, 2225, 14976, 7361, 807, 646, 990, 7069, 304, 862, 30033, 11, 1393, 1083, 29140, 264, 19117, 8660, 315, 1246, 9675, 975, 382, 785, 21564, 518, 63270, 525, 35948, 11647, 304, 862, 5043, 13, 2379, 6786, 63855, 3412, 429, 40702, 279, 22711, 315, 6540, 323, 20816, 2562, 12378, 2163, 279, 1879, 13, 10964, 25709, 6051, 1449, 12893, 315, 279, 53454, 3139, 11, 2176, 4766, 323, 4889, 279, 24017, 382, 1233, 8767, 594, 18776, 29576, 6147, 4143, 311, 1795, 862, 1828, 11772, 323, 5157, 13980, 429, 1850, 7781, 862, 6931, 8845, 13, 20173, 646, 47344, 304, 17017, 11, 8493, 11, 74405, 11, 7525, 6240, 11, 476, 1008, 5671, 13, 2379, 646, 1083, 1896, 97490, 6846, 3941, 279, 12103, 11, 23966, 14878, 1075, 584, 4842, 11, 6489, 4300, 11, 2329, 11, 15712, 11, 323, 803, 382, 55341, 279, 24017, 11, 4143, 646, 18379, 862, 6832, 1526, 6078, 10326, 11449, 1075, 2590, 17675, 11, 30731, 7079, 11, 323, 69306, 65624, 13, 576, 57719, 7891, 5832, 369, 68002, 5270, 323, 37610, 5707, 4963, 323, 1824, 369, 59113, 1191, 5239, 47627, 13, 576, 32007, 5832, 14967, 1584, 8668, 10603, 37821, 12786, 1380, 4143, 646, 6588, 862, 15496, 7361, 323, 4564, 448, 25029, 13, 1597, 63270, 594, 3644, 3922, 315, 51908, 6696, 4143, 10488, 311, 3920, 22131, 323, 1936, 13234, 2163, 279, 1879, 382, 2354, 1181, 46899, 29576, 11, 1879, 14800, 21564, 11, 323, 18199, 5486, 311, 6731, 11, 279, 3822, 315, 10557, 63270, 6022, 315, 8025, 47442, 4143, 311, 3635, 6036, 304, 894, 2070, 13, 13139, 807, 22729, 30033, 304, 17017, 11, 30731, 11, 13014, 11, 18478, 11, 476, 2441, 4958, 11, 63270, 37481, 614, 279, 7361, 323, 6540, 807, 1184, 311, 11996, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 2684, 264, 12921, 11727, 4152, 311, 65027, 311, 1992, 847, 12921, 11549, 13, 5209, 9960, 458, 14303, 6524, 369, 752, 13, 151645, 198, 151644, 77091, 198, 30665, 19577, 3554, 40, 1079, 4378, 311, 14303, 279, 12921, 11727, 358, 3949, 389, 508, 1916, 60, 369, 21394, 311, 3037, 847, 12921, 11549, 13, 358, 36879, 369, 894, 60009, 419, 1231, 614, 8881, 323, 1035, 1075, 311, 10339, 279, 13161, 429, 6069, 311, 419, 37089, 382, 1925, 279, 1899, 304, 3405, 11, 358, 572, 12819, 27509, 311, 458, 2989, 17635, 323, 76534, 28595, 311, 1992, 847, 12921, 11549, 389, 279, 26967, 13, 1096, 572, 264, 22011, 16523, 389, 847, 949, 11, 438, 358, 614, 2677, 1012, 2704, 311, 3037, 847, 12921, 11549, 979, 12921, 304, 279, 23195, 3082, 13, 358, 614, 12392, 264, 6548, 315, 847, 11549, 438, 11064, 429, 358, 1079, 12824, 304, 279, 18721, 315, 264, 22745, 11549, 382, 40, 3535, 279, 12650, 315, 88406, 448, 12921, 14305, 323, 1896, 2480, 11752, 369, 847, 16523, 13, 4354, 11, 358, 46526, 1681, 429, 498, 2908, 10450, 2249, 279, 6915, 304, 3100, 315, 847, 3267, 8733, 323, 10745, 16523, 389, 419, 13101, 382, 13060, 498, 369, 697, 8660, 323, 17879, 304, 419, 4925, 382, 50, 86091, 345, 58, 7771, 3988, 60, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 7985, 264, 2025, 311, 1760, 279, 2629, 315, 1156, 220, 16, 15, 15, 5109, 304, 10135, 151645, 198, 151644, 77091, 198, 1654, 6979, 264, 729, 2598, 1565, 1242, 62, 16, 15, 15, 1089, 4585, 32964, 54258, 369, 279, 3403, 14944, 382, 13874, 3989, 750, 2629, 62, 16, 15, 15, 1089, 4585, 32964, 3932, 262, 671, 2506, 264, 4303, 2629, 198, 262, 2629, 284, 220, 15, 271, 262, 671, 3270, 264, 369, 6337, 311, 912, 1817, 1372, 311, 279, 4303, 2629, 198, 262, 369, 600, 304, 2088, 7, 16, 11, 220, 16, 15, 16, 982, 286, 2629, 284, 2629, 488, 600, 198, 262, 470, 2629, 1022, 2, 8213, 700, 279, 1102, 198, 1350, 19713, 62, 16, 15, 15, 1089, 4585, 32964, 2398, 13874, 19324, 785, 2550, 1265, 387, 715, 13874, 3989, 20, 15, 20, 15, 198, 13874, 3989, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 3838, 374, 264, 8493, 3119, 30, 151645, 198, 151644, 77091, 198, 32, 8493, 3119, 374, 264, 15817, 2197, 429, 49629, 458, 7321, 594, 12876, 323, 8493, 14830, 311, 6923, 11508, 323, 5545, 1181, 2169, 3081, 13, 1084, 3565, 279, 46110, 323, 8575, 20686, 369, 279, 5001, 1042, 11, 2670, 1246, 279, 2813, 686, 6629, 862, 2456, 13, 362, 8493, 3119, 11136, 5646, 279, 2701, 1447, 9, 7993, 3412, 12613, 279, 14830, 198, 9, 73170, 40791, 311, 279, 2169, 29894, 198, 9, 27269, 69642, 198, 9, 59326, 11181, 198, 9, 54190, 369, 28990, 279, 3059, 315, 1817, 8282, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 2776, 9115, 264, 8411, 311, 4505, 13, 20678, 264, 220, 22, 11228, 5821, 72904, 13, 151645, 198, 151644, 77091, 198, 30780, 702, 264, 1602, 27155, 12752, 27848, 13, 82697, 552, 1947, 11, 17646, 11, 1947, 11, 17206, 11, 323, 4627, 525, 678, 2513, 448, 264, 1293, 3840, 304, 4505, 13, 13224, 11, 24427, 11, 9625, 11, 29121, 11, 15344, 11, 34898, 11, 9856, 11, 279, 25662, 11, 64871, 11, 32961, 11, 323, 4558, 678, 1008, 7513, 5837, 525, 5411, 29970, 33105, 13, 5692, 525, 11102, 8094, 11228, 30161, 315, 4505, 382, 10159, 220, 16, 25, 4710, 9, 220, 65337, 65054, 72445, 25, 12095, 481, 422, 3172, 263, 481, 30296, 60022, 88, 315, 40009, 59185, 481, 10771, 75168, 481, 43464, 9420, 373, 422, 3172, 263, 481, 13784, 67395, 198, 19980, 578, 60022, 88, 315, 40009, 59185, 374, 13214, 2632, 803, 1091, 264, 21682, 21411, 389, 279, 10620, 385, 10911, 6908, 8108, 11, 432, 572, 59585, 304, 279, 220, 16, 22, 339, 9294, 438, 264, 11416, 380, 43339, 6188, 553, 24209, 86355, 11470, 43135, 567, 13, 576, 18046, 304, 279, 10984, 20013, 315, 279, 43339, 374, 825, 315, 279, 7772, 50577, 304, 9625, 323, 14967, 1657, 1947, 58849, 13, 10771, 75168, 374, 264, 18267, 2371, 8341, 6188, 553, 910, 283, 69891, 567, 304, 220, 16, 21, 23, 20, 311, 10565, 279, 384, 719, 7266, 49967, 315, 6210, 11876, 93415, 13, 1084, 374, 825, 315, 279, 1429, 27709, 29236, 31340, 304, 9625, 13, 43464, 40698, 409, 422, 3172, 263, 374, 458, 18781, 3110, 315, 4843, 33357, 40009, 1241, 1103, 17646, 11, 26990, 504, 279, 12751, 1947, 4168, 624, 9, 220, 36981, 72445, 25, 1446, 646, 1896, 264, 5828, 518, 730, 6754, 11, 220, 17, 16, 16, 12, 17, 16, 18, 47440, 34307, 362, 6070, 337, 11, 220, 22, 20, 15, 16, 18, 12095, 382, 10159, 220, 17, 25, 4710, 9, 220, 65337, 65054, 72445, 25, 13784, 67395, 481, 8012, 301, 19874, 481, 11678, 13784, 67395, 481, 38755, 481, 328, 1958, 4360, 26889, 481, 55650, 198, 785, 8012, 301, 19874, 374, 458, 13833, 22360, 14164, 304, 4505, 11, 20346, 304, 220, 16, 18, 18, 18, 311, 10505, 13784, 67395, 13, 1084, 702, 2474, 3635, 264, 20469, 37250, 315, 279, 3283, 13, 715, 81289, 13784, 67395, 11, 448, 1181, 19850, 16301, 782, 39090, 11, 374, 6509, 311, 387, 29121, 594, 1429, 73901, 323, 16807, 21800, 13, 715, 785, 328, 1958, 4360, 26889, 374, 264, 13042, 315, 279, 1657, 32734, 323, 39191, 315, 38755, 594, 3840, 323, 14967, 12114, 15172, 4278, 315, 1947, 323, 13656, 25361, 13, 715, 785, 38755, 56729, 374, 279, 1879, 594, 2086, 66967, 8817, 11, 323, 432, 3867, 4236, 23631, 311, 4583, 13, 1084, 374, 264, 43101, 11297, 8817, 448, 220, 16, 18, 20, 31266, 642, 11, 1817, 448, 264, 34272, 11, 323, 432, 37019, 279, 1429, 57902, 315, 894, 43101, 8817, 304, 279, 1879, 624, 9, 220, 36981, 72445, 25, 11778, 264, 5828, 518, 74867, 11, 4697, 19809, 315, 4697, 26125, 16629, 11, 13784, 67395, 323, 1221, 8317, 311, 9562, 3362, 1187, 16426, 64, 1853, 3089, 355, 271, 10159, 220, 18, 25, 4710, 9, 220, 65337, 65054, 72445, 25, 55650, 481, 393, 89414, 5836, 34181, 481, 19874, 315, 328, 1090, 82, 481, 21718, 198, 47, 89414, 5836, 34181, 11, 476, 794, 13, 4389, 594, 15619, 11, 374, 264, 6233, 9334, 429, 374, 3209, 2437, 832, 553, 3807, 19850, 54283, 13702, 11, 2670, 279, 26356, 594, 30296, 11, 794, 13, 4389, 594, 9257, 11, 323, 794, 13, 4389, 594, 17884, 21938, 13, 1084, 572, 63795, 553, 8585, 34314, 69427, 438, 330, 1782, 1429, 6233, 5382, 3054, 304, 4505, 1189, 715, 785, 19874, 315, 328, 1090, 82, 11, 389, 279, 1008, 1424, 11, 7746, 279, 5473, 323, 279, 9343, 11, 323, 432, 374, 13814, 279, 1590, 1815, 369, 27141, 29131, 311, 4545, 11, 1101, 1573, 862, 11320, 624, 9, 220, 36981, 72445, 25, 11778, 264, 5828, 518, 393, 89414, 5836, 34181, 271, 10159, 220, 19, 25, 4710, 9, 220, 65337, 65054, 72445, 25, 21718, 481, 4254, 436, 325, 372, 481, 19305, 482, 594, 9494, 315, 95894, 481, 393, 89414, 27983, 685, 481, 393, 89414, 3089, 54957, 481, 47506, 198, 785, 4254, 436, 325, 372, 374, 21718, 594, 1429, 27709, 36897, 323, 374, 68493, 448, 2770, 67808, 24554, 11, 39032, 27433, 11, 323, 279, 34725, 3283, 13, 715, 785, 9494, 315, 19305, 482, 374, 7407, 1948, 279, 4254, 436, 325, 372, 323, 279, 45662, 323, 4419, 2326, 5325, 288, 323, 1351, 29821, 315, 45868, 13, 1084, 13352, 438, 264, 7735, 315, 34314, 19305, 482, 358, 594, 36901, 315, 21718, 594, 2310, 13587, 323, 806, 21269, 315, 31086, 438, 279, 1584, 13587, 13, 715, 47, 89414, 27983, 685, 374, 30083, 3143, 279, 12751, 17538, 323, 37019, 264, 40692, 4158, 43339, 429, 374, 1910, 369, 15255, 311, 13186, 13, 2619, 525, 69764, 4766, 66971, 15344, 594, 3213, 650, 2404, 13, 715, 2120, 12707, 409, 468, 1480, 64, 11, 1393, 31061, 304, 38491, 11, 6116, 264, 13732, 829, 1283, 264, 11245, 6109, 304, 279, 5700, 12751, 31669, 11, 1380, 90049, 60145, 21719, 594, 3668, 29812, 9853, 12644, 389, 279, 7354, 13, 715, 23949, 11, 279, 1879, 93009, 18332, 45001, 72, 77224, 374, 279, 7772, 4716, 60552, 56613, 30450, 323, 18163, 22538, 2701, 279, 2393, 315, 279, 4531, 12751, 31669, 624, 9, 220, 36981, 72445, 25, 11778, 264, 5828, 518, 393, 89414, 1594, 4254, 436, 44666, 11, 220, 16, 11, 220, 15, 15, 16, 23, 19, 45501, 11, 15344, 271, 10159, 220, 20, 510, 715, 9, 220, 65337, 65054, 72445, 25, 47506, 481, 56729, 315, 279, 11214, 315, 51545, 481, 393, 89414, 1594, 57096, 67, 481, 393, 10761, 481, 1967, 43059, 21938, 315, 393, 10761, 481, 59700, 4926, 78, 198, 785, 47506, 56729, 11, 1083, 3881, 438, 279, 65970, 3001, 11, 374, 4221, 15344, 594, 7772, 29912, 323, 374, 11245, 369, 3432, 279, 8538, 24837, 57338, 3512, 20346, 13, 1084, 69910, 279, 56729, 11, 794, 13, 3757, 594, 42648, 722, 11, 323, 479, 11098, 983, 594, 17884, 21938, 13, 715, 43, 1310, 67, 15619, 11, 7407, 304, 47506, 11, 15344, 11, 374, 458, 330, 43, 1, 26271, 9334, 30083, 304, 4065, 315, 279, 10621, 10925, 39673, 11, 2058, 50010, 1181, 2639, 438, 279, 4948, 18719, 315, 279, 3283, 323, 16445, 3807, 19850, 57902, 13, 715, 785, 1967, 43059, 21938, 315, 393, 10761, 374, 30083, 304, 279, 75964, 15619, 6351, 304, 279, 10200, 315, 279, 3283, 315, 393, 10761, 304, 350, 25034, 3767, 11, 15344, 13, 1084, 323, 279, 41517, 79150, 11, 42648, 722, 11, 323, 803, 614, 1030, 264, 5089, 10173, 389, 14811, 42463, 1947, 323, 614, 1012, 23195, 438, 4337, 33143, 553, 279, 3639, 19140, 45845, 11, 37030, 11, 323, 40233, 20395, 624, 9, 220, 36981, 72445, 25, 11778, 264, 5828, 518, 393, 89414, 1853, 15993, 24592, 346, 11, 220, 20, 15, 16, 17, 17, 6647, 84449, 271, 10159, 220, 21, 510, 715, 9, 220, 65337, 65054, 72445, 25, 59700, 4926, 78, 481, 61551, 481, 61551, 16194, 30296, 481, 83520, 481, 83520, 16631, 17322, 30296, 481, 55201, 198, 785, 61551, 16194, 30296, 374, 279, 51711, 4126, 315, 61551, 323, 572, 15102, 33616, 438, 264, 6277, 69838, 3080, 279, 220, 16, 22, 339, 9294, 13, 715, 785, 6210, 594, 43339, 37019, 264, 34847, 52901, 3728, 389, 279, 9396, 13, 715, 1925, 279, 1008, 1424, 11, 279, 10925, 2782, 939, 38650, 18233, 11, 20346, 304, 220, 16, 24, 23, 17, 11, 374, 83520, 16631, 17322, 594, 6028, 22888, 1992, 11, 1380, 279, 1429, 69565, 21882, 304, 279, 4531, 4958, 11, 279, 10925, 2660, 294, 6, 2195, 11, 374, 21328, 624, 9, 220, 36981, 72445, 25, 11778, 264, 5828, 518, 14552, 59700, 4926, 78, 323, 8317, 311, 17131, 14205, 5251, 34845, 11, 220, 24, 23, 15, 15, 15, 61551, 271, 10159, 220, 22, 1447, 9, 220, 65337, 65054, 72445, 25, 55201, 481, 12095, 481, 19689, 409, 12359, 14435, 383, 481, 468, 3092, 301, 21938, 481, 43464, 40698, 56729, 481, 1345, 482, 10948, 198, 785, 95894, 278, 9494, 11, 30083, 304, 12095, 11, 9625, 594, 8622, 6774, 9334, 11, 572, 20346, 304, 220, 16, 23, 18, 21, 311, 15669, 69427, 594, 12560, 916, 279, 8522, 323, 56969, 53402, 8437, 304, 279, 18283, 52711, 8049, 13, 1084, 4419, 662, 35390, 819, 315, 11245, 8585, 14856, 504, 279, 220, 16, 23, 339, 323, 220, 16, 24, 339, 23631, 323, 374, 264, 18239, 37250, 315, 12095, 11, 11259, 438, 279, 1879, 594, 2086, 66967, 19689, 409, 12359, 14435, 383, 13, 715, 785, 468, 3092, 301, 21938, 11, 6188, 553, 48620, 523, 468, 3092, 301, 11, 572, 5798, 304, 458, 48913, 1378, 1635, 11, 1378, 3951, 11, 323, 4236, 2849, 11, 3259, 432, 825, 315, 279, 1429, 1632, 21309, 59924, 30450, 323, 458, 6489, 7735, 315, 12095, 11, 9625, 11, 323, 29263, 13, 70709, 11, 279, 1345, 482, 10948, 11, 892, 27455, 1526, 12095, 11, 374, 35948, 15245, 323, 572, 3055, 2598, 330, 1782, 9803, 315, 279, 1345, 482, 1, 553, 4325, 624, 9, 220, 36981, 72445, 25, 11778, 264, 5828, 518, 10771, 50508, 66871, 21, 24, 15, 15, 17, 55201, 271, 30780, 37019, 12114, 1008, 29970, 33105, 429, 525, 5802, 23966, 13, 358, 3900, 498, 614, 264, 23795, 11618, 41587, 678, 315, 279, 31743, 594, 13143, 323, 39064, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 6713, 498, 3270, 264, 32794, 429, 5610, 279, 2701, 3040, 4244, 25, 2487, 11, 4746, 11, 3971, 11, 323, 4264, 30, 151645, 198, 151644, 77091, 198, 1519, 448, 2487, 91400, 264, 4367, 345, 3983, 2487, 2765, 26, 432, 22479, 48585, 624, 12209, 566, 27115, 448, 279, 4746, 280, 641, 47991, 763, 323, 8919, 11515, 624, 12209, 566, 27115, 448, 279, 3971, 280, 15986, 12409, 4746, 566, 2115, 4815, 624, 7039, 806, 24936, 389, 4264, 3161, 280, 1655, 12654, 315, 32333, 4264, 4880, 3164, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 12689, 752, 1744, 315, 264, 829, 369, 264, 501, 906, 358, 2776, 29729, 429, 9463, 27627, 892, 22502, 311, 1973, 979, 264, 1874, 315, 4780, 3367, 13, 8886, 1196, 702, 862, 1828, 19322, 320, 3481, 79, 819, 11, 34254, 11, 25755, 11, 33525, 16982, 11, 4992, 8, 738, 304, 11912, 26, 279, 906, 66478, 879, 594, 304, 52751, 438, 1632, 438, 279, 18048, 315, 14046, 281, 93329, 3473, 11, 323, 3643, 264, 23776, 13, 151645, 198, 151644, 77091, 198, 8420, 525, 1045, 3204, 5036, 369, 264, 3590, 22502, 23810, 287, 906, 510, 9, 220, 56476, 12115, 198, 9, 220, 328, 4803, 198, 9, 220, 34818, 23502, 198, 9, 220, 40775, 884, 198, 9, 220, 8979, 33236, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 5050, 2813, 3880, 264, 2390, 6645, 11, 1410, 498, 1492, 752, 1855, 264, 2618, 32689, 369, 432, 30, 151645, 198, 151644, 77091, 198, 12245, 12380, 25, 5787, 10567, 271, 4707, 25, 508, 4707, 311, 387, 10199, 2533, 14491, 7662, 1447, 58, 60424, 264, 9814, 4008, 315, 279, 2813, 35184, 12245, 34807, 1447, 1654, 525, 10887, 458, 10321, 5787, 10567, 448, 24364, 7361, 311, 5138, 1039, 2083, 13, 576, 4091, 9144, 686, 387, 8480, 369, 18150, 7079, 504, 60468, 311, 9755, 11, 22573, 429, 807, 525, 12600, 389, 882, 11, 2878, 8039, 11, 323, 311, 279, 23689, 315, 678, 38110, 382, 82162, 13450, 1447, 9, 13449, 3132, 10091, 2390, 87144, 11, 41384, 11, 323, 4963, 198, 9, 29279, 678, 2390, 7488, 48453, 311, 9555, 10186, 323, 15966, 198, 9, 49835, 5792, 2639, 16261, 448, 2390, 7263, 323, 38110, 198, 9, 7843, 11, 4211, 11, 323, 19032, 2390, 6649, 323, 5098, 6682, 311, 2083, 3613, 323, 38110, 198, 9, 86377, 13382, 7424, 315, 2390, 7488, 369, 12827, 323, 50644, 10124, 9895, 271, 31029, 7029, 1447, 9, 362, 8381, 304, 16595, 11, 8025, 16713, 11, 476, 264, 5435, 2070, 198, 9, 362, 8028, 315, 508, 13780, 1372, 60, 1635, 315, 3139, 304, 2390, 6240, 198, 9, 1298, 1037, 5726, 311, 10091, 5248, 7079, 24303, 198, 9, 26099, 10535, 11, 11438, 11, 323, 73858, 7361, 198, 9, 36766, 40195, 323, 882, 54785, 7361, 198, 9, 8459, 10387, 304, 2390, 6240, 3162, 323, 7375, 271, 4340, 311, 20552, 1447, 58, 22283, 11221, 389, 1246, 311, 3796, 369, 279, 2618, 24719, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 5050, 17760, 4588, 752, 264, 435, 3310, 11, 714, 358, 646, 1405, 7071, 432, 700, 13, 1260, 3229, 752, 429, 421, 358, 646, 1405, 11625, 432, 7037, 1221, 358, 1265, 8498, 448, 458, 15235, 311, 7071, 700, 279, 6291, 624, 4416, 11, 1410, 498, 4486, 11625, 279, 435, 3310, 323, 10339, 279, 6291, 1939, 8420, 748, 279, 435, 3310, 1447, 5050, 9252, 374, 3607, 624, 5050, 20525, 374, 46001, 624, 5050, 88157, 4041, 304, 19531, 624, 40, 2506, 498, 1007, 279, 4910, 624, 3838, 1079, 358, 30, 151645, 198, 151644, 77091, 198, 785, 4226, 311, 279, 435, 3310, 374, 330, 5604, 16712, 11436, 8420, 748, 264, 1555, 14319, 8447, 16148, 1447, 5050, 9252, 374, 3607, 624, 262, 1036, 5604, 16712, 854, 8471, 448, 1036, 5604, 9336, 892, 374, 2494, 498, 8180, 624, 5050, 20525, 374, 46001, 624, 262, 1036, 5604, 16712, 854, 10335, 448, 1036, 16712, 9336, 323, 66483, 374, 6509, 46001, 624, 5050, 88157, 4041, 304, 19531, 624, 262, 1416, 498, 1896, 279, 3409, 1036, 5604, 16712, 9336, 4057, 279, 1036, 71, 854, 504, 1181, 1191, 323, 4057, 279, 1036, 377, 854, 504, 1181, 835, 11, 498, 633, 279, 3409, 1036, 98327, 11204, 1597, 37904, 27236, 311, 2525, 304, 19531, 624, 40, 2506, 498, 1007, 279, 4910, 624, 262, 264, 82565, 1176, 13598, 279, 1697, 1667, 432, 315, 279, 4910, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 1366, 311, 3960, 264, 501, 4128, 13, 3555, 525, 1045, 4963, 323, 10414, 369, 4128, 6832, 30, 151645, 198, 151644, 77091, 198, 3830, 1910, 10500, 311, 64180, 2860, 13980, 11, 1052, 525, 1657, 4963, 311, 3960, 264, 501, 4128, 13, 4329, 2244, 10500, 323, 2860, 7468, 2924, 16465, 26527, 14302, 11, 15687, 337, 27908, 11, 25369, 9779, 11, 4992, 13, 1084, 748, 1083, 264, 1661, 4522, 311, 1896, 4128, 6846, 304, 1697, 476, 2860, 11, 1380, 498, 646, 2548, 697, 11079, 4755, 323, 6588, 12094, 448, 697, 11079, 323, 60090, 382, 8420, 525, 1045, 1008, 10414, 369, 6832, 264, 501, 4128, 1447, 9, 2573, 697, 4128, 8845, 13, 3197, 498, 3129, 1156, 47209, 700, 1246, 311, 3960, 264, 4128, 11, 498, 1265, 5244, 389, 1045, 2805, 36519, 11051, 12, 323, 1293, 9663, 8845, 13, 4220, 646, 1492, 311, 2968, 5944, 323, 5106, 311, 697, 6832, 13, 30370, 3039, 30196, 311, 697, 4128, 70756, 8845, 646, 1492, 311, 2506, 498, 389, 3754, 323, 26664, 13, 4710, 9, 14934, 4185, 34918, 13, 1096, 646, 1492, 311, 6157, 1936, 697, 8660, 304, 264, 1899, 4686, 11228, 6243, 11, 10693, 498, 311, 614, 323, 1795, 6770, 20959, 13, 4710, 9, 7379, 264, 1707, 429, 4278, 369, 498, 13, 2619, 525, 1657, 2155, 7375, 11, 12538, 11, 323, 9222, 498, 646, 990, 979, 498, 3129, 6832, 264, 4128, 13, 13139, 432, 748, 1667, 8217, 25024, 11, 31428, 36693, 11, 63828, 53415, 11, 64180, 6832, 476, 894, 1008, 5486, 11, 498, 614, 11260, 315, 2606, 13, 23095, 1677, 700, 279, 1290, 10601, 315, 12538, 646, 1492, 498, 5098, 518, 264, 4379, 498, 3129, 6247, 448, 13, 1446, 4700, 1477, 678, 12829, 315, 10500, 11, 13037, 11, 64203, 11, 323, 1008, 7236, 700, 1052, 429, 1492, 448, 2155, 5413, 13, 18611, 9, 26984, 12094, 13, 362, 16587, 949, 315, 6832, 264, 4128, 374, 1660, 2952, 311, 43817, 11, 3535, 323, 22800, 10362, 13, 1446, 1513, 1405, 614, 311, 14312, 728, 700, 323, 1191, 50967, 448, 9867, 21326, 1290, 3123, 320, 36141, 419, 646, 7838, 1492, 568, 4354, 11, 7404, 311, 6133, 11, 35566, 697, 34918, 700, 17361, 11, 323, 1496, 14633, 6133, 12094, 697, 501, 4128, 646, 1492, 311, 1936, 697, 12136, 13, 4710, 9, 220, 13015, 448, 264, 9867, 18601, 13, 16433, 1095, 448, 501, 1251, 304, 697, 2169, 4128, 374, 3545, 63030, 13, 1446, 2578, 387, 26115, 311, 1281, 20643, 476, 2666, 429, 697, 1482, 2188, 4436, 1405, 1661, 3322, 13, 4354, 11, 35566, 448, 264, 9867, 18601, 646, 1492, 498, 6157, 7269, 697, 4128, 7361, 13, 4710, 9, 220, 3285, 424, 448, 279, 7674, 13, 11434, 3545, 91954, 304, 1555, 448, 279, 7674, 315, 279, 5203, 879, 6468, 432, 13, 15277, 11, 311, 2167, 7341, 264, 4128, 11, 498, 4700, 1366, 311, 1281, 2704, 498, 3129, 1083, 11285, 448, 279, 12752, 2266, 429, 5780, 448, 432, 13, 4710, 40, 3900, 419, 8609, 0, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 11526, 582, 7484, 304, 279, 15494, 30, 151645, 198, 151644, 77091, 198, 33975, 487, 702, 3602, 311, 1477, 5904, 369, 2272, 4889, 11580, 9237, 382, 785, 1482, 2711, 369, 11482, 962, 52586, 2272, 374, 13771, 10735, 389, 9271, 32875, 429, 525, 30083, 304, 458, 330, 10573, 15368, 10143, 3263, 57321, 398, 2182, 11, 264, 11580, 374, 304, 264, 14132, 480, 10143, 421, 1181, 6010, 504, 14046, 9759, 6147, 369, 14473, 3015, 311, 22334, 389, 1181, 7329, 624, 4416, 3041, 11, 264, 2421, 1741, 32875, 614, 1012, 1730, 11, 714, 6857, 3602, 448, 14473, 3015, 389, 1181, 7329, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 62980, 264, 3974, 6860, 12111, 448, 10135, 151645, 198, 151644, 77091, 198, 24318, 10231, 374, 264, 21749, 9777, 14859, 15959, 12111, 13, 1084, 21895, 458, 2392, 438, 264, 26045, 323, 46688, 279, 2661, 1334, 2163, 279, 12771, 26045, 13, 2619, 525, 2155, 26244, 315, 17251, 10231, 11, 892, 1745, 553, 279, 1616, 279, 26045, 374, 11882, 13, 5692, 374, 825, 8129, 429, 5711, 279, 1537, 2392, 315, 279, 1334, 438, 279, 26045, 1447, 13874, 3989, 2, 13027, 8129, 315, 17251, 10231, 271, 750, 16658, 6110, 11, 3347, 11, 1550, 7731, 262, 671, 5157, 279, 1290, 3562, 2392, 438, 26045, 198, 262, 26045, 284, 1334, 58, 11892, 921, 262, 671, 7445, 369, 7046, 2392, 198, 262, 600, 284, 3347, 481, 220, 16, 271, 262, 671, 37546, 1526, 678, 5424, 198, 262, 671, 9429, 1817, 2392, 448, 26045, 198, 262, 369, 502, 304, 2088, 57798, 11, 1550, 982, 286, 421, 1334, 3809, 60, 2651, 26045, 510, 310, 671, 1416, 2392, 9155, 1091, 26045, 374, 1730, 198, 310, 671, 14291, 432, 448, 279, 7046, 2392, 14283, 553, 600, 198, 310, 600, 284, 600, 488, 220, 16, 271, 310, 671, 4492, 3629, 2392, 518, 600, 448, 2392, 518, 502, 198, 310, 320, 1653, 989, 1125, 1334, 3809, 2467, 284, 320, 1653, 3809, 1125, 1334, 989, 9604, 262, 671, 43849, 279, 26045, 2392, 448, 279, 7046, 2392, 5189, 553, 600, 198, 262, 320, 1653, 989, 488, 220, 16, 1125, 1334, 58, 11892, 2467, 284, 320, 1653, 58, 11892, 1125, 1334, 989, 488, 220, 16, 9604, 262, 671, 3411, 279, 2309, 504, 1380, 16658, 374, 2814, 198, 262, 470, 600, 488, 220, 16, 1406, 750, 3974, 18435, 6110, 11, 3347, 11, 1550, 982, 262, 421, 3347, 366, 1550, 510, 286, 671, 7379, 26045, 2392, 1741, 429, 198, 286, 671, 2392, 9155, 1091, 26045, 525, 389, 279, 2115, 198, 286, 671, 2392, 7046, 1091, 26045, 525, 389, 279, 1290, 198, 286, 8938, 284, 16658, 6110, 11, 3347, 11, 1550, 692, 286, 671, 85896, 1618, 389, 279, 2115, 315, 26045, 198, 286, 3974, 18435, 6110, 11, 3347, 11, 8938, 481, 220, 16, 692, 286, 671, 85896, 1618, 389, 279, 1290, 315, 26045, 198, 286, 3974, 18435, 6110, 11, 8938, 488, 220, 16, 11, 1550, 3623, 2, 3393, 3110, 198, 691, 284, 508, 16, 11, 220, 22, 11, 220, 19, 11, 220, 16, 11, 220, 16, 17, 11, 220, 23, 11, 481, 18, 921, 1350, 445, 1806, 28298, 1334, 1138, 1350, 2592, 692, 2141, 284, 2422, 2592, 692, 27763, 18435, 2592, 11, 220, 15, 11, 1379, 481, 220, 16, 692, 1350, 492, 51051, 1334, 304, 35388, 1973, 53781, 1350, 2592, 340, 13874, 19324, 785, 3403, 2038, 686, 1173, 279, 2701, 2550, 1447, 13874, 3989, 1806, 28298, 1334, 198, 58, 16, 11, 220, 22, 11, 220, 19, 11, 220, 16, 11, 220, 16, 17, 11, 220, 23, 11, 481, 18, 2533, 51051, 1334, 304, 35388, 1973, 510, 7609, 18, 11, 220, 16, 11, 220, 16, 11, 220, 19, 11, 220, 22, 11, 220, 23, 11, 220, 16, 17, 921, 13874, 19324, 1986, 12111, 702, 264, 11785, 38485, 882, 23094, 315, 506, 8204, 61, 17, 701, 714, 1181, 5461, 882, 23094, 374, 506, 8204, 1487, 451, 568, 22406, 11, 279, 12111, 7460, 1172, 506, 7, 16, 8, 53458, 3550, 11, 7797, 279, 506, 8204, 8, 3550, 25983, 553, 279, 2661, 1334, 5086, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 6713, 498, 1281, 264, 13008, 3119, 369, 752, 30, 151645, 198, 151644, 77091, 198, 54, 10976, 498, 678, 315, 279, 2948, 323, 23009, 0, 2014, 3119, 264, 13008, 11, 1588, 525, 1045, 7354, 429, 498, 646, 1191, 448, 1447, 16, 13, 6059, 56191, 911, 697, 1899, 624, 20485, 264, 1036, 61249, 854, 448, 697, 8263, 13, 13235, 279, 6438, 11, 2176, 315, 498, 1265, 10549, 518, 3245, 1378, 19760, 5335, 323, 697, 6708, 369, 279, 2701, 25, 3728, 11, 6912, 11, 7987, 11, 3607, 323, 7488, 382, 17, 13, 2573, 697, 8039, 382, 18, 13, 39124, 304, 15725, 13, 715, 4498, 432, 4041, 311, 6832, 1246, 311, 3119, 264, 13008, 11, 279, 1429, 2989, 3019, 374, 43014, 429, 498, 323, 697, 8263, 646, 1405, 653, 432, 7484, 13, 715, 9, 220, 61628, 264, 13008, 49711, 13, 715, 9, 220, 20437, 369, 1492, 504, 2997, 323, 4780, 13, 715, 9, 220, 10167, 551, 5440, 323, 4963, 13, 4710, 19, 13, 22201, 264, 13008, 2400, 438, 5135, 438, 498, 646, 382, 20, 13, 19725, 697, 13008, 4614, 624, 44, 3779, 315, 15669, 13, 7107, 883, 13, 479, 2966, 3563, 268, 323, 3198, 13, 425, 18245, 97150, 323, 60265, 5676, 13, 98881, 879, 4221, 697, 3265, 4780, 323, 2997, 498, 1366, 311, 387, 448, 498, 6814, 697, 13008, 13, 4710, 21, 13, 7854, 697, 8640, 1140, 624, 32, 1661, 1616, 311, 1191, 28273, 879, 498, 1366, 311, 21399, 374, 553, 2087, 1526, 279, 3645, 1140, 389, 697, 4540, 11, 438, 1632, 438, 879, 498, 3129, 2701, 14, 2245, 34922, 448, 389, 697, 1429, 68521, 3590, 3687, 15409, 13, 4710, 22, 13, 22201, 697, 13008, 21536, 3728, 382, 23, 13, 22201, 697, 13008, 21434, 624, 58452, 13008, 21434, 4494, 2924, 25, 32319, 11, 8785, 11, 13551, 11, 6118, 11, 28950, 17428, 11, 23790, 11, 11321, 323, 9500, 32426, 371, 382, 24, 13, 98881, 389, 279, 13008, 748, 6912, 11, 10576, 11, 323, 3565, 624, 8420, 525, 264, 8045, 315, 5411, 21386, 11, 448, 10576, 323, 1894, 6708, 311, 2432, 510, 9, 220, 75730, 13, 715, 9, 220, 79367, 13, 715, 9, 220, 20101, 7530, 10092, 13, 2303, 9, 220, 33789, 292, 13, 715, 9, 220, 21331, 52061, 13, 18611, 16, 15, 13, 22201, 697, 13008, 58669, 624, 2132, 748, 8606, 311, 3624, 700, 3701, 13479, 44410, 11, 323, 432, 748, 16690, 311, 614, 264, 2588, 8560, 21399, 311, 4034, 1283, 279, 13008, 13, 4710, 16, 16, 13, 8319, 28529, 624, 2679, 498, 3129, 9115, 279, 13008, 6133, 11, 28529, 498, 4700, 4363, 2908, 2924, 25, 38744, 369, 279, 21536, 11, 21387, 3470, 437, 369, 279, 23117, 11, 28767, 11, 23029, 41506, 11, 53829, 2473, 11, 6869, 3183, 62744, 11, 69140, 380, 323, 2786, 5372, 382, 16, 17, 13, 19037, 700, 1128, 498, 3129, 2087, 311, 9850, 382, 16, 18, 13, 22201, 279, 3607, 323, 42350, 369, 697, 13008, 23117, 382, 16, 19, 13, 9680, 279, 1573, 323, 1283, 4357, 624, 2121, 13475, 11, 279, 85874, 6761, 389, 279, 1379, 315, 697, 13008, 11, 279, 42157, 11, 323, 279, 23094, 315, 279, 21536, 13, 4220, 525, 279, 4357, 498, 1231, 10549, 476, 1184, 882, 369, 7797, 279, 13008, 25, 4710, 9, 220, 40990, 323, 293, 14770, 18174, 665, 9677, 13, 715, 9, 220, 1032, 383, 1561, 278, 13856, 13, 715, 9, 220, 472, 603, 68860, 13, 2303, 9, 220, 30817, 1283, 24031, 13, 2303, 9, 220, 9295, 1448, 79575, 69817, 13, 18611, 16, 20, 13, 11000, 700, 697, 58669, 624, 1986, 374, 458, 13245, 4445, 304, 279, 9115, 1882, 13, 9646, 1846, 44410, 525, 304, 279, 8072, 11, 476, 498, 17320, 1036, 6681, 854, 389, 697, 7377, 44410, 11, 279, 2409, 1899, 8471, 311, 2666, 803, 1931, 382, 16, 21, 13, 11479, 700, 8668, 82903, 14709, 448, 54613, 382, 16, 22, 13, 22201, 697, 13008, 24544, 382, 16, 23, 13, 19338, 2331, 448, 279, 13008, 2083, 624, 3973, 3419, 448, 678, 315, 279, 1376, 1251, 304, 697, 13008, 13, 18976, 311, 279, 13008, 49711, 311, 1490, 421, 1052, 525, 894, 1590, 3565, 807, 1184, 504, 498, 13, 49842, 700, 311, 279, 21434, 323, 20728, 7263, 773, 498, 1414, 807, 3129, 678, 738, 13, 20678, 264, 1618, 311, 2997, 3613, 323, 279, 13008, 4614, 311, 1281, 2704, 5019, 11074, 10655, 448, 279, 72904, 13, 1597, 5499, 11, 62552, 264, 2421, 30367, 58838, 448, 1817, 1008, 1573, 279, 13008, 382, 16, 24, 13, 5145, 279, 79359, 323, 4669, 2219, 2610, 1414, 1128, 311, 653, 504, 1588, 13, 70541, 0, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 5050, 8251, 13598, 71919, 705, 847, 14549, 13, 3555, 525, 1045, 5510, 311, 5426, 1059, 311, 2936, 30, 151645, 198, 151644, 77091, 198, 34, 1862, 18778, 14549, 369, 264, 8045, 315, 7966, 11, 773, 498, 3278, 614, 311, 975, 700, 3170, 18316, 374, 71919, 304, 3953, 13, 1084, 594, 5990, 1576, 432, 6801, 311, 56490, 1007, 2310, 30995, 1340, 26286, 11, 476, 1576, 432, 6801, 311, 1868, 1181, 17971, 13, 5692, 525, 264, 1372, 315, 2513, 498, 646, 653, 311, 5426, 1059, 537, 311, 18778, 697, 14549, 382, 5338, 11, 498, 646, 11013, 1059, 39843, 15502, 13, 1416, 498, 11013, 697, 8251, 594, 39843, 15502, 11, 1221, 432, 686, 387, 2686, 4363, 369, 1059, 311, 1366, 311, 18778, 1576, 432, 686, 387, 803, 28113, 369, 1059, 311, 653, 773, 13, 12343, 11, 432, 686, 7949, 279, 5557, 2814, 553, 71919, 1576, 279, 67450, 2765, 944, 387, 438, 17232, 382, 15666, 11, 498, 646, 3421, 279, 5671, 448, 2494, 46889, 11, 1075, 24790, 46399, 476, 1990, 49758, 16971, 13, 1096, 1265, 64987, 1059, 504, 71919, 1052, 11, 323, 1340, 3278, 320, 96425, 8, 3960, 311, 728, 311, 1059, 71919, 1736, 4518, 624, 36975, 11, 498, 646, 1430, 311, 6423, 1059, 6529, 979, 1340, 8471, 311, 18778, 1380, 1340, 13133, 944, 13, 1416, 498, 2287, 1059, 304, 279, 1160, 11, 1281, 264, 17361, 11980, 320, 564, 3629, 374, 1661, 8, 323, 1340, 1265, 2936, 13, 5005, 11, 421, 498, 614, 264, 71919, 1736, 14046, 11, 14907, 1059, 311, 18778, 1052, 4518, 13, 20678, 1059, 264, 4228, 421, 1340, 65739, 279, 1736, 11, 476, 28388, 1059, 84107, 13, 2932, 3278, 3960, 429, 71919, 279, 1736, 5221, 1059, 1661, 2513, 11, 1393, 71919, 279, 14549, 5221, 1059, 4302, 382, 23949, 11, 498, 646, 1430, 264, 10601, 315, 678, 315, 279, 3403, 13, 44376, 1059, 39843, 11, 3421, 279, 14549, 11, 323, 979, 498, 2287, 1059, 71919, 279, 14549, 11, 89577, 697, 6078, 323, 1473, 1059, 279, 71919, 1736, 382, 2354, 12966, 5041, 11, 498, 1265, 387, 2952, 311, 1438, 1059, 14549, 1331, 5082, 31924, 14132, 13, 1084, 1231, 1896, 264, 2421, 5555, 11, 714, 432, 646, 387, 2814, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 3838, 374, 279, 1850, 5693, 369, 264, 40189, 8232, 30, 151645, 198, 151644, 77091, 198, 3862, 525, 2155, 7586, 315, 50518, 11, 323, 1657, 5977, 311, 387, 1865, 369, 476, 2348, 1817, 825, 13, 5692, 525, 1045, 315, 279, 1429, 4185, 5977, 369, 40189, 10186, 510, 9, 58100, 315, 39402, 69174, 25, 362, 22634, 1584, 892, 5707, 264, 8028, 6770, 7911, 369, 1846, 879, 525, 48889, 11, 14036, 11, 476, 11889, 311, 975, 31995, 264, 6770, 5382, 5297, 369, 279, 67651, 304, 8232, 323, 8609, 311, 7949, 8674, 19005, 624, 9, 3574, 6267, 10627, 25, 3574, 2820, 2453, 518, 279, 1459, 315, 990, 3363, 5019, 374, 19867, 311, 6770, 2820, 2453, 13, 715, 9, 11586, 25, 1527, 8584, 892, 374, 34219, 311, 975, 6974, 279, 1293, 9663, 22634, 686, 1992, 264, 5080, 897, 389, 12158, 10520, 11, 1741, 438, 32894, 24761, 481, 1496, 421, 432, 72015, 11372, 624, 9, 38095, 315, 3066, 84936, 25, 3066, 15278, 315, 3015, 323, 279, 95147, 6147, 279, 5110, 311, 2169, 8845, 1741, 438, 1293, 9663, 9162, 11, 3347, 7576, 369, 279, 11502, 323, 12944, 7149, 624, 9, 3574, 11668, 25, 11668, 374, 264, 3598, 3363, 369, 40489, 76149, 30039, 13, 80100, 678, 10283, 2615, 311, 1550, 22092, 11, 1910, 6731, 6147, 369, 803, 6144, 10488, 369, 1212, 97288, 7775, 382, 28032, 1053, 429, 11, 1052, 525, 1083, 5977, 2348, 50518, 323, 3151, 40189, 10186, 13, 3197, 78242, 894, 4842, 476, 33549, 11, 432, 374, 2989, 311, 12831, 1181, 35386, 11, 43567, 11, 323, 4563, 2897, 311, 279, 6534, 518, 1424, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 2776, 3432, 1045, 2997, 916, 369, 13856, 11, 902, 33525, 16982, 13, 20678, 752, 264, 1661, 11116, 369, 17233, 264, 6419, 3311, 315, 13041, 304, 458, 9690, 3338, 13, 151645, 198, 151644, 77091, 198, 8420, 374, 458, 4135, 11116, 369, 24317, 3338, 57685, 323, 34167, 1667, 458, 9690, 3338, 1447, 45747, 510, 9, 220, 220, 18, 12, 20, 28060, 24317, 42460, 57685, 198, 9, 220, 220, 16, 61511, 5590, 198, 9, 220, 220, 16, 41284, 12021, 198, 9, 220, 220, 16, 41284, 37327, 16723, 198, 9, 220, 220, 16, 41284, 30635, 16723, 198, 9, 220, 220, 16, 14, 17, 41284, 3691, 24353, 198, 9, 220, 220, 16, 14, 17, 41284, 47537, 25298, 40454, 198, 9, 220, 220, 16, 30023, 8770, 2518, 34167, 198, 9, 220, 220, 19, 3460, 61417, 11, 37425, 1119, 3460, 26757, 198, 9, 220, 220, 16, 3460, 13753, 37327, 11, 37425, 198, 9, 220, 220, 19, 25374, 24317, 44893, 198, 9, 220, 220, 17, 55488, 4099, 346, 12570, 34448, 19187, 271, 55291, 510, 16, 13, 758, 264, 2613, 19212, 11, 23065, 3786, 12021, 11, 24353, 11, 30635, 16723, 11, 37327, 16723, 11, 323, 47537, 25298, 40454, 624, 17, 13, 56476, 279, 57685, 1119, 220, 17, 12, 19, 9666, 320, 96736, 220, 16, 13, 17, 20, 12, 16, 13, 20, 28060, 1817, 4292, 17, 13, 12839, 279, 41686, 20980, 678, 916, 279, 57685, 9666, 311, 22875, 678, 11067, 624, 18, 13, 26070, 264, 3460, 86096, 7215, 448, 1045, 5590, 11, 323, 990, 259, 13181, 311, 511, 277, 1817, 6573, 315, 279, 57685, 389, 678, 11067, 624, 19, 13, 10771, 279, 511, 1605, 13041, 1119, 279, 9690, 3338, 624, 20, 13, 2691, 34167, 11, 44597, 11, 323, 61417, 311, 279, 3338, 624, 21, 13, 25968, 24317, 44893, 323, 4099, 346, 12570, 34448, 19187, 916, 4297, 624, 22, 13, 10771, 279, 9690, 3338, 26334, 323, 2484, 1119, 16061, 2309, 13, 29279, 279, 10378, 374, 738, 311, 279, 19046, 2309, 624, 23, 13, 2573, 279, 9690, 3338, 311, 330, 45974, 4296, 1, 389, 1550, 7262, 369, 220, 21, 15, 12, 23, 15, 4420, 320, 21, 15, 369, 220, 18, 28060, 57685, 11, 220, 23, 15, 369, 220, 20, 28060, 4292, 24, 13, 3197, 279, 17233, 882, 374, 705, 11, 653, 264, 5810, 4879, 369, 220, 16, 15, 4420, 13, 5005, 11, 2484, 279, 10378, 311, 279, 4879, 2309, 323, 2138, 279, 3338, 311, 38200, 324, 551, 624, 16, 15, 13, 9646, 279, 7262, 702, 1012, 5880, 11, 4057, 279, 26334, 11, 323, 3398, 279, 3338, 1119, 330, 9081, 1070, 1, 3856, 624, 16, 16, 13, 6771, 1045, 315, 279, 66749, 59050, 349, 369, 220, 16, 15, 4420, 11, 1393, 29273, 22266, 279, 13041, 1119, 9155, 26757, 1667, 1378, 73574, 624, 16, 17, 13, 52932, 323, 4669, 0, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 22043, 264, 1372, 308, 11, 1173, 308, 7563, 79683, 5624, 151645, 198, 151644, 77091, 198, 785, 79683, 5109, 525, 279, 5109, 304, 279, 2701, 7546, 8500, 25, 400, 15, 11, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 20, 11, 220, 23, 11, 220, 16, 18, 11, 220, 17, 16, 11, 220, 18, 19, 11, 2503, 66426, 641, 35972, 3793, 11, 279, 8500, 400, 37, 1089, 3, 315, 79683, 5109, 374, 4512, 553, 279, 75193, 12687, 25, 400, 37, 1089, 284, 434, 15159, 77, 12, 16, 92, 488, 434, 15159, 77, 12, 17, 31716, 11, 448, 10320, 2750, 25, 400, 37, 62, 15, 284, 220, 15, 3, 323, 400, 37, 62, 16, 284, 220, 16, 3, 382, 8420, 374, 264, 4285, 8129, 304, 13027, 369, 17387, 279, 400, 77, 3, 339, 79683, 1372, 400, 37, 1089, 3, 1667, 50262, 1447, 13874, 3989, 750, 75698, 1445, 982, 262, 421, 308, 2651, 220, 16, 510, 286, 470, 308, 198, 262, 470, 75698, 1445, 12, 16, 8, 488, 75698, 1445, 12, 17, 340, 13874, 19324, 7983, 419, 8129, 17720, 17548, 40155, 279, 35972, 7271, 315, 79683, 5109, 11, 432, 374, 537, 11050, 13, 5692, 374, 458, 10555, 8129, 1667, 8741, 15473, 1447, 13874, 3989, 750, 75698, 1445, 982, 262, 282, 284, 508, 15, 11, 220, 16, 921, 262, 369, 600, 304, 2088, 7, 17, 11, 308, 10, 16, 982, 286, 282, 2057, 955, 989, 12, 16, 60, 488, 282, 989, 12, 17, 2546, 262, 470, 282, 7669, 921, 73594, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 1986, 374, 847, 1156, 8411, 311, 37047, 13, 5209, 1492, 752, 3119, 264, 11416, 220, 18, 11228, 7216, 304, 37047, 13, 151645, 198, 151644, 77091, 198, 2016, 30070, 11, 389, 5616, 594, 8622, 13648, 11, 374, 279, 3146, 594, 8538, 3283, 323, 264, 3644, 5896, 18719, 13, 10548, 311, 279, 5411, 8381, 323, 3728, 315, 60981, 18773, 311, 30893, 11, 2326, 2849, 646, 1486, 1526, 220, 16, 15, 60981, 18773, 11, 2666, 279, 330, 46, 461, 6296, 12095, 1, 3881, 438, 279, 10963, 2270, 54322, 271, 10159, 220, 16, 25, 4710, 9, 220, 65337, 65054, 72445, 25, 37047, 4311, 4264, 18659, 14644, 380, 12030, 320, 17, 4115, 8, 11397, 89410, 19021, 320, 16, 6460, 8, 11397, 32142, 98168, 9536, 19318, 477, 7266, 6686, 320, 18, 4115, 8, 11397, 29608, 320, 16, 6460, 8, 715, 51261, 37047, 594, 57341, 95675, 518, 279, 4311, 4264, 18659, 11, 1380, 498, 646, 1477, 279, 3283, 594, 1429, 35948, 42302, 13, 24885, 11, 1896, 264, 68883, 1526, 37047, 594, 11245, 8353, 9290, 323, 26009, 279, 9292, 10533, 323, 18035, 19456, 13, 1634, 279, 11458, 19827, 11, 1968, 311, 279, 29608, 311, 49763, 279, 15978, 4337, 37843, 66933, 323, 279, 11245, 1205, 579, 2143, 19874, 11, 3881, 369, 1181, 15010, 448, 330, 32, 18183, 21911, 10040, 9, 220, 36981, 72445, 25, 1084, 374, 25104, 311, 990, 279, 43246, 476, 5828, 1849, 438, 432, 374, 458, 16637, 11, 65483, 11, 323, 16710, 1616, 311, 5821, 13, 2014, 5545, 32142, 98168, 9536, 19318, 477, 7266, 6686, 504, 27273, 19021, 11, 4633, 279, 43246, 7083, 220, 16, 15, 320, 11412, 6974, 1532, 60822, 16556, 4311, 8, 374, 264, 1661, 2999, 13, 576, 11618, 4990, 13187, 220, 17, 15, 4420, 11, 323, 498, 646, 633, 1007, 518, 32142, 98168, 6326, 9536, 8056, 624, 9, 220, 60136, 287, 12157, 4834, 25, 37047, 35005, 374, 1632, 21309, 369, 1181, 11957, 25779, 1741, 438, 1417, 826, 87304, 11, 19174, 293, 3441, 11, 65590, 5724, 425, 3441, 11, 20112, 4056, 35067, 11, 323, 20112, 4056, 16158, 13, 362, 11102, 15786, 7702, 311, 1430, 1493, 25779, 374, 56707, 16739, 524, 18659, 13, 758, 279, 11458, 11, 1052, 525, 11260, 315, 17914, 2606, 311, 5157, 504, 304, 1378, 5671, 481, 32142, 98168, 9536, 323, 279, 29608, 13, 11733, 5671, 614, 264, 8045, 315, 60253, 26030, 2500, 369, 498, 311, 13186, 382, 10159, 220, 17, 510, 715, 9, 220, 65337, 65054, 72445, 25, 5616, 5166, 30296, 320, 19, 4115, 8, 11397, 47343, 89, 333, 524, 320, 17, 4115, 8, 11397, 37047, 1599, 396, 72, 64574, 320, 17, 4115, 340, 785, 72904, 369, 3351, 594, 7216, 12033, 448, 264, 3947, 311, 279, 5616, 5166, 30296, 11, 892, 1483, 311, 387, 279, 5616, 74479, 2337, 279, 4337, 51323, 13, 576, 37047, 5166, 16328, 374, 1431, 7407, 1588, 11, 323, 432, 37019, 264, 12767, 4426, 369, 15255, 311, 4669, 13, 9295, 11, 1968, 311, 47343, 89, 333, 524, 11, 264, 34409, 323, 93531, 21272, 304, 37047, 13, 758, 279, 11458, 11, 498, 646, 8329, 882, 11919, 304, 279, 37250, 1599, 396, 72, 64574, 3082, 315, 37047, 624, 9, 220, 36981, 72445, 25, 2014, 5821, 504, 279, 5616, 5166, 30296, 311, 47343, 89, 333, 524, 11, 498, 646, 1896, 279, 43246, 11, 892, 4990, 13187, 220, 17, 15, 4420, 13, 5145, 553, 48969, 7083, 220, 23, 518, 5616, 5166, 30296, 11, 633, 1007, 518, 18360, 7754, 370, 524, 9536, 16629, 11, 323, 8317, 311, 7083, 220, 24, 13, 5005, 11, 633, 1007, 518, 422, 391, 84, 80, 22516, 16629, 1667, 279, 1156, 4869, 33947, 9, 220, 60136, 287, 12157, 4834, 25, 1084, 374, 11102, 311, 8180, 2163, 279, 5616, 5166, 30296, 518, 37145, 323, 8180, 304, 1599, 396, 72, 64574, 304, 279, 11458, 11, 1380, 279, 3607, 374, 9080, 11, 323, 498, 646, 1430, 13210, 37047, 35005, 4192, 10159, 220, 18, 25, 4710, 9, 220, 65337, 65054, 72445, 25, 83176, 350, 1854, 7880, 82, 37047, 320, 18, 4115, 8, 11397, 444, 9635, 26975, 1963, 320, 17, 4115, 8, 11397, 70951, 36243, 13484, 323, 5883, 21938, 320, 17, 4115, 340, 641, 279, 6556, 11, 264, 11102, 5702, 374, 311, 3947, 83176, 350, 1854, 7880, 82, 36023, 23971, 323, 1490, 279, 15978, 36023, 12396, 389, 3037, 13, 1446, 646, 1083, 1896, 7249, 448, 1105, 311, 12322, 279, 4445, 624, 9, 220, 36981, 72445, 25, 2014, 5821, 504, 83176, 350, 1854, 7880, 82, 75742, 16328, 311, 444, 9635, 26975, 1963, 11, 4633, 279, 43246, 374, 11102, 438, 432, 374, 264, 16710, 11, 4937, 323, 43152, 3856, 315, 17903, 304, 37047, 13, 576, 11618, 4990, 13187, 220, 17, 15, 4420, 11, 323, 498, 646, 1896, 43246, 7083, 220, 17, 504, 8853, 594, 15619, 8056, 304, 279, 5106, 315, 64437, 10715, 9536, 11, 323, 633, 1007, 518, 444, 9635, 26975, 1963, 8056, 624, 9, 220, 60136, 287, 12157, 4834, 25, 1752, 15786, 11, 432, 374, 11102, 311, 13186, 279, 17914, 2606, 2163, 83176, 350, 1854, 7880, 82, 13, 2619, 525, 1657, 9073, 15556, 323, 86035, 550, 304, 279, 3082, 311, 5157, 504, 13, 758, 279, 11458, 11, 444, 9635, 26975, 1963, 374, 264, 2244, 1992, 311, 1430, 13210, 37047, 35005, 369, 13856, 13, 2619, 525, 1657, 15556, 304, 419, 3082, 429, 3010, 17923, 323, 8606, 37047, 25779, 382, 2016, 30070, 702, 1657, 1008, 7040, 7482, 311, 3947, 11, 1741, 438, 279, 74074, 21788, 11, 892, 374, 264, 4727, 9106, 369, 8521, 448, 2841, 13, 4354, 11, 432, 374, 11102, 311, 1281, 3151, 6649, 4092, 311, 697, 4345, 11772, 323, 279, 882, 2500, 369, 697, 8411, 13, 3085, 1181, 9080, 3840, 11, 32976, 7674, 11, 323, 6481, 38491, 11, 37047, 6081, 2494, 369, 5019, 311, 13186, 323, 4669, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 5404, 1550, 33360, 12898, 2820, 30, 151645, 198, 151644, 77091, 198, 9454, 11, 1550, 33360, 646, 47191, 5421, 697, 2820, 13, 22827, 11, 279, 5080, 279, 33360, 323, 279, 5021, 279, 12233, 8090, 11, 279, 803, 11924, 279, 2456, 624, 8373, 315, 279, 4650, 15276, 2924, 1447, 9, 2014, 288, 25, 576, 15026, 323, 10296, 30216, 2011, 1730, 304, 1657, 1741, 15294, 7482, 264, 2696, 315, 7262, 389, 279, 44613, 13, 1096, 646, 3545, 11508, 311, 44821, 908, 11, 82565, 529, 7072, 11, 323, 1008, 4682, 892, 1102, 304, 4478, 6646, 382, 9, 87636, 87832, 25, 5124, 33360, 66745, 705, 323, 73381, 279, 33261, 30255, 87832, 11, 892, 2578, 5240, 6646, 2163, 279, 34328, 382, 9, 356, 3104, 23648, 25, 34239, 311, 279, 33261, 30255, 87832, 11, 279, 64543, 23648, 646, 1083, 73381, 916, 882, 11, 438, 807, 525, 14971, 5763, 291, 1393, 12233, 1550, 33360, 382, 9, 730, 68719, 25, 576, 28752, 47278, 979, 12233, 33360, 40702, 279, 2487, 4637, 13, 1096, 87281, 5107, 5344, 389, 279, 21381, 11, 892, 374, 264, 20757, 2747, 315, 51268, 78, 277, 39385, 4221, 3198, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 8420, 525, 1045, 2464, 13064, 911, 33358, 510, 16, 13, 4615, 8109, 17933, 7826, 1283, 279, 4231, 315, 220, 16, 23, 624, 17, 13, 64994, 525, 911, 220, 16, 6226, 49909, 304, 279, 6556, 11, 1283, 21127, 624, 18, 13, 2502, 23184, 700, 15198, 51205, 42553, 17239, 1011, 389, 279, 19145, 624, 19, 13, 1446, 646, 12656, 37327, 553, 55935, 432, 389, 697, 7541, 624, 20, 13, 92692, 525, 9223, 448, 803, 24854, 1091, 12598, 624, 21, 13, 7496, 18707, 1537, 1172, 264, 2421, 4420, 624, 22, 13, 11012, 594, 1273, 4342, 525, 4889, 279, 2487, 1576, 2487, 9315, 374, 2238, 4017, 369, 39599, 311, 17697, 624, 23, 13, 1416, 279, 7912, 1033, 264, 6249, 11, 432, 1035, 614, 264, 10935, 315, 220, 20, 22, 21, 18740, 391, 10274, 624, 24, 13, 576, 24632, 24854, 304, 279, 3738, 2487, 525, 1730, 304, 279, 2430, 624, 16, 15, 13, 576, 7772, 2872, 304, 279, 3738, 2487, 374, 279, 6787, 624, 19389, 1817, 825, 315, 1105, 1119, 264, 72932, 3405, 13, 151645, 198, 151644, 77091, 198, 8420, 525, 220, 16, 15, 72932, 4755, 911, 279, 3738, 2487, 11, 3118, 389, 279, 3897, 13064, 510, 16, 13, 2411, 1128, 4231, 1558, 279, 8109, 2936, 7826, 5267, 17, 13, 2411, 1128, 882, 315, 1899, 525, 12677, 81617, 5267, 18, 13, 3555, 374, 264, 8225, 3108, 2456, 315, 40342, 700, 15198, 51205, 5267, 19, 13, 3555, 8573, 421, 498, 10273, 37327, 389, 697, 7541, 5267, 20, 13, 10479, 702, 803, 24854, 25, 23920, 476, 12598, 5267, 21, 13, 2585, 1293, 653, 18707, 11136, 1537, 5267, 22, 13, 8429, 653, 1273, 4342, 14678, 4889, 279, 2487, 5267, 23, 13, 1416, 279, 7912, 1033, 264, 6249, 11, 1128, 1035, 387, 1181, 10935, 5267, 24, 13, 10967, 525, 279, 24632, 24854, 304, 279, 3738, 2487, 5267, 16, 15, 13, 3555, 374, 279, 7772, 2872, 304, 279, 3738, 2487, 30, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 40, 2776, 2087, 311, 4182, 324, 25944, 369, 279, 1156, 882, 311, 3042, 279, 1156, 5567, 358, 3003, 3512, 4652, 13, 358, 2776, 16575, 358, 3278, 387, 7484, 323, 42106, 553, 5019, 13, 3555, 1265, 358, 653, 30, 151645, 198, 151644, 77091, 198, 46339, 311, 458, 14250, 9816, 369, 279, 1156, 882, 1231, 2803, 1075, 264, 98674, 4671, 3139, 11, 714, 421, 2814, 1290, 11, 37514, 525, 264, 11117, 6638, 311, 86781, 448, 11647, 504, 2163, 279, 1879, 11, 3042, 697, 975, 323, 633, 11055, 11, 323, 1281, 501, 4780, 13, 5692, 525, 1045, 10414, 369, 18392, 697, 9816, 3139, 510, 9, 49842, 700, 304, 11912, 311, 1251, 879, 614, 14606, 697, 975, 13, 1416, 807, 525, 1083, 23218, 279, 9816, 11, 498, 1410, 1430, 311, 1477, 882, 448, 1105, 323, 6236, 911, 697, 6094, 11772, 624, 9, 6928, 40228, 911, 1008, 1251, 594, 975, 13, 20437, 1251, 1128, 807, 525, 3238, 389, 11, 323, 8844, 526, 4402, 624, 9, 7075, 705, 369, 5458, 25144, 7468, 13, 4220, 5990, 3581, 697, 10072, 1045, 10514, 11, 714, 1083, 3410, 264, 2244, 6638, 369, 498, 311, 3367, 1008, 4143, 304, 279, 3942, 624, 9, 20437, 697, 36613, 311, 19131, 498, 311, 1008, 11811, 304, 279, 2070, 624, 9, 2411, 279, 1852, 882, 11, 1430, 311, 3590, 551, 4889, 315, 697, 10072, 311, 18379, 697, 6584, 3922, 382, 66243, 11, 432, 374, 2989, 311, 6099, 429, 1449, 1156, 14859, 2202, 93565, 374, 4658, 8266, 264, 2699, 32294, 2238, 11, 323, 429, 4633, 279, 1156, 3019, 304, 5916, 264, 10435, 686, 4558, 2677, 387, 2270, 448, 264, 2409, 15289, 0, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 7985, 264, 12421, 32794, 429, 3637, 7940, 41674, 13, 151645, 198, 151644, 77091, 198, 14374, 19602, 21371, 21911, 271, 785, 11031, 10901, 198, 13464, 3691, 323, 14401, 198, 263, 279, 36025, 401, 785, 9437, 1340, 4693, 198, 258, 22274, 594, 5043, 738, 198, 11263, 453, 323, 525, 14764, 271, 258, 15679, 19056, 315, 11174, 280, 1782, 10320, 315, 22274, 198, 263, 847, 3579, 271, 13464, 287, 481, 358, 6723, 1549, 198, 4803, 69957, 1496, 198, 9033, 56050, 17857, 271, 1519, 5276, 594, 296, 42335, 6422, 345, 1782, 28492, 429, 47714, 198, 411, 678, 279, 23925, 271, 1055, 23139, 11, 279, 3553, 198, 12982, 7019, 291, 198, 258, 279, 1340, 4693, 315, 6646, 271, 61208, 705, 53166, 723, 510, 1782, 1340, 4693, 315, 5593, 198, 5676, 429, 525, 69186, 271, 3328, 3164, 3328, 291, 8413, 198, 263, 279, 6422, 315, 22274, 280, 76, 12642, 29447, 271, 1055, 678, 279, 6646, 198, 6739, 311, 601, 2661, 280, 5472, 974, 74916, 198, 13464, 287, 438, 11174, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 7985, 2326, 31420, 911, 9898, 151645, 198, 151644, 77091, 198, 8420, 525, 2326, 31420, 911, 9898, 1447, 16, 13, 3555, 653, 498, 1618, 264, 23694, 429, 1558, 23425, 349, 30, 362, 35067, 46994, 624, 17, 13, 3555, 653, 498, 1618, 1378, 60720, 429, 4332, 458, 8176, 2692, 30, 12518, 54516, 624, 18, 13, 8429, 653, 39458, 614, 27402, 6869, 30, 9211, 807, 990, 25744, 874, 1279, 1189, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 5050, 220, 16, 15, 4666, 6284, 9803, 374, 19962, 448, 72094, 311, 264, 501, 2906, 13, 2585, 646, 358, 1492, 1059, 1281, 279, 27075, 60305, 30831, 151645, 198, 151644, 77091, 198, 21768, 287, 311, 264, 501, 2906, 646, 387, 5000, 369, 6837, 304, 4586, 11, 438, 807, 525, 4460, 311, 7071, 700, 879, 807, 525, 11, 1128, 807, 1075, 11, 323, 1246, 807, 4946, 304, 448, 862, 25029, 13, 5692, 525, 264, 2421, 6708, 369, 1246, 311, 1492, 1059, 7500, 1447, 9, 18976, 311, 1059, 911, 1059, 15650, 13, 20437, 1059, 1246, 1340, 374, 8266, 911, 279, 9142, 13, 6771, 1059, 1414, 429, 432, 594, 16910, 311, 387, 12421, 476, 22459, 911, 9380, 1059, 2310, 2906, 323, 5916, 518, 264, 501, 825, 13, 6771, 1059, 1414, 429, 432, 594, 16910, 311, 2666, 12035, 2238, 0, 715, 9, 7379, 700, 1128, 374, 90159, 1059, 11, 323, 1221, 1492, 1059, 311, 1477, 5510, 311, 36486, 13, 60922, 448, 1059, 13336, 1231, 2968, 498, 1045, 42675, 11, 438, 807, 1231, 614, 13686, 1059, 15358, 700, 304, 536, 323, 646, 3010, 18225, 438, 1632, 624, 9, 10751, 60040, 1059, 311, 1281, 4780, 13, 4926, 484, 1059, 429, 3259, 4780, 374, 264, 9947, 429, 646, 387, 9498, 13, 18976, 911, 5510, 429, 1340, 646, 3367, 501, 1251, 11, 1075, 18169, 458, 1283, 34689, 6335, 476, 10161, 264, 536, 18052, 311, 728, 311, 15786, 448, 1059, 13, 715, 9, 10751, 60040, 1059, 311, 13186, 1059, 501, 2906, 13, 11479, 1059, 311, 1281, 264, 1140, 315, 279, 2155, 5671, 315, 279, 2906, 11, 1075, 279, 41615, 11, 93848, 11, 323, 6733, 13, 20437, 1059, 421, 1340, 1035, 1075, 311, 13186, 279, 2906, 448, 498, 2337, 1059, 15786, 1438, 476, 1283, 2906, 13, 715, 9, 10751, 60040, 1059, 311, 1896, 11752, 13, 9735, 311, 2968, 1059, 803, 27323, 518, 2114, 13, 6771, 1059, 1492, 498, 311, 1281, 20969, 11, 653, 279, 25779, 11, 476, 11555, 34089, 13, 6771, 1059, 1414, 429, 498, 6950, 1059, 311, 653, 1493, 2513, 13, 1096, 686, 1492, 311, 1936, 1059, 12136, 323, 5530, 315, 11752, 11, 892, 686, 1492, 1059, 311, 2666, 803, 10655, 518, 2906, 382, 785, 1429, 2989, 3166, 429, 498, 646, 653, 374, 311, 1077, 1059, 1414, 429, 498, 525, 1052, 369, 1059, 421, 1340, 3880, 498, 13, 20678, 1059, 1045, 3550, 3498, 11, 323, 1513, 944, 7262, 1059, 1119, 8568, 705, 421, 1340, 3171, 944, 1366, 311, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 7985, 458, 49952, 7327, 8049, 1948, 13809, 23076, 323, 8596, 35493, 13, 151645, 198, 151644, 77091, 198, 8420, 374, 458, 49952, 7327, 8049, 1948, 13809, 23076, 323, 8596, 35493, 1447, 37495, 23076, 510, 10061, 752, 1101, 3019, 1290, 304, 11, 358, 2684, 2513, 311, 17023, 198, 40, 2776, 458, 9529, 850, 11, 8770, 11, 2297, 279, 1879, 198, 33280, 2886, 220, 20, 15, 15, 3369, 1324, 498, 58234, 264, 3743, 198, 40, 2776, 264, 84348, 11, 498, 2299, 264, 72187, 11, 358, 2776, 49638, 11, 498, 2299, 86747, 198, 3430, 1095, 498, 374, 8162, 7946, 4135, 198, 40, 1281, 279, 1985, 429, 279, 10049, 39911, 198, 3036, 279, 16435, 429, 10978, 17416, 5711, 198, 40, 1184, 311, 4446, 705, 1045, 6770, 17176, 198, 10234, 4172, 498, 829, 697, 2813, 1283, 697, 25985, 1939, 27476, 35493, 510, 2610, 12244, 11, 23076, 11, 498, 65368, 88700, 198, 2354, 697, 2086, 1424, 33289, 323, 697, 259, 5639, 59013, 198, 40, 3278, 30546, 264, 14178, 304, 279, 6149, 315, 697, 293, 3549, 1968, 198, 2354, 697, 1828, 2632, 37860, 11321, 4935, 315, 4545, 198, 39, 2807, 645, 11, 498, 2684, 2661, 705, 518, 7194, 198, 40, 2968, 3123, 697, 4179, 5802, 311, 44960, 3412, 198, 81114, 678, 697, 2632, 23069, 323, 358, 2058, 5030, 429, 198, 15692, 44740, 11, 22271, 11, 76486, 1522, 11, 600, 10673, 473, 271, 37495, 23076, 510, 32, 883, 5711, 279, 12645, 498, 5798, 311, 2444, 1495, 323, 2291, 806, 13125, 198, 32, 883, 5711, 279, 12645, 358, 5798, 311, 8844, 311, 279, 54857, 1393, 566, 11967, 288, 271, 27476, 35493, 510, 11395, 11, 13809, 11, 498, 26571, 678, 279, 6668, 369, 975, 429, 1008, 1251, 653, 198, 6986, 697, 8664, 47688, 467, 9510, 7751, 585, 3270, 1493, 435, 2625, 369, 498, 11, 2238, 1939, 37495, 23076, 510, 46, 2267, 11, 16083, 8788, 5515, 2699, 1007, 8162, 271, 27476, 35493, 510, 40, 23725, 67, 279, 21856, 389, 264, 6673, 271, 37495, 23076, 510, 2403, 279, 1251, 448, 279, 2355, 311, 1855, 990, 458, 8162, 271, 27476, 35493, 510, 3036, 1251, 448, 6887, 990, 6673, 271, 37495, 23076, 510, 2610, 1414, 11, 358, 1274, 807, 1865, 419, 9382, 389, 458, 8162, 271, 27476, 35493, 510, 2753, 375, 11, 434, 2672, 487, 6485, 3721, 11, 6673, 271, 37495, 23076, 510, 2610, 686, 2581, 11, 3512, 2287, 264, 16770, 389, 458, 8162, 271, 27476, 35493, 510, 11395, 11, 498, 1410, 2058, 9946, 264, 10668, 421, 498, 10788, 264, 6673, 271, 37495, 23076, 510, 10061, 594, 3061, 911, 16026, 11, 358, 3003, 3884, 264, 2421, 198, 6, 60912, 358, 2684, 264, 6673, 11, 714, 432, 5710, 944, 504, 498, 198, 40, 5798, 264, 19588, 11, 4438, 11, 498, 1410, 2581, 2936, 432, 198, 7039, 11, 27291, 752, 1393, 358, 2484, 31350, 264, 11372, 271, 27476, 35493, 510, 63716, 11, 498, 32733, 387, 1075, 429, 30, 8408, 11, 1221, 4894, 785, 4361, 1879, 10245, 498, 11, 714, 498, 1033, 847, 4238, 198, 40, 2776, 7484, 1431, 448, 4302, 714, 2355, 323, 882, 198, 3036, 902, 825, 389, 9393, 879, 646, 8645, 847, 3971, 198, 40, 2776, 264, 13392, 0, 358, 1828, 58480, 4894, 7771, 3853, 374, 847, 2884, 4894, 40, 2776, 264, 9886, 0, 20547, 20577, 4894, 7039, 1052, 594, 902, 825, 311, 2936, 752, 11, 279, 1879, 374, 10485, 2219, 31714, 220, 24, 15, 15, 15, 510, 40, 2776, 14589, 11, 8596, 198, 40, 2776, 16575, 358, 646, 944, 1077, 498, 653, 429, 198, 17814, 264, 1401, 518, 697, 3840, 198, 34964, 498, 5798, 11508, 705, 311, 752, 198, 40, 2684, 279, 2355, 315, 264, 3971, 498, 1410, 2581, 387, 198, 40, 3278, 9382, 697, 1071, 304, 32719, 323, 14133, 31929, 88, 198, 40, 2776, 4303, 356, 1027, 5488, 330, 14990, 1879, 698, 40, 3278, 9382, 498, 364, 1646, 498, 2299, 25083, 911, 264, 294, 49056, 3743, 198, 40, 2776, 5001, 700, 279, 7575, 198, 23780, 498, 646, 653, 646, 2936, 432, 198, 40, 2776, 389, 697, 23410, 323, 304, 697, 17822, 198, 4340, 498, 16519, 6102, 752, 1495, 979, 358, 8474, 279, 24306, 5267, 7771, 48270, 1101, 3171, 944, 9897, 752, 198, 4416, 728, 8305, 1430, 311, 94430, 1273, 752, 198, 40, 357, 14435, 389, 264, 7401, 323, 264, 6673, 11, 2238, 198, 40, 2776, 389, 14340, 11, 39430, 11, 358, 3381, 498, 4253, 198, 5050, 13940, 594, 4017, 11, 714, 847, 6200, 8473, 9255, 198, 43658, 498, 304, 81397, 5128, 315, 2038, 198, 40, 1744, 2155, 504, 279, 4712, 315, 279, 2849, 315, 2310, 198, 39, 14300, 1187, 39036, 11, 1075, 279, 97361, 3229, 13526, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 646, 358, 633, 264, 12418, 3034, 151645, 198, 151644, 77091, 198, 40, 614, 311, 8809, 498, 429, 432, 374, 11816, 311, 633, 264, 12418, 3034, 11, 323, 498, 1410, 387, 3832, 311, 9158, 10195, 304, 3730, 773, 13, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1414, 421, 697, 22761, 374, 5527, 311, 21057, 498, 30, 151645, 198, 151644, 77091, 198, 42, 13577, 264, 3743, 646, 387, 30915, 2630, 81, 8985, 11, 5310, 421, 498, 1513, 944, 1414, 421, 1340, 594, 5527, 369, 264, 21057, 0, 47500, 11, 1052, 525, 5510, 498, 646, 7071, 700, 3425, 476, 537, 1340, 6801, 264, 21057, 13, 10328, 902, 11552, 374, 23977, 15780, 11, 518, 3245, 498, 4700, 614, 264, 2664, 4522, 315, 3425, 432, 748, 10565, 1573, 498, 1281, 279, 3271, 382, 565, 19173, 1059, 3579, 271, 16, 13, 10357, 1059, 6414, 13, 1446, 1265, 387, 2952, 311, 3291, 264, 2696, 911, 697, 22761, 594, 12591, 311, 21057, 498, 504, 1059, 6414, 13, 2379, 1513, 944, 1977, 279, 6414, 525, 279, 11030, 311, 279, 13527, 369, 4302, 13, 1416, 1340, 5868, 498, 5961, 304, 279, 7912, 11, 1340, 374, 4658, 30592, 65164, 323, 374, 518, 3245, 1787, 311, 51046, 498, 13, 10328, 7912, 3645, 374, 4558, 2677, 264, 6785, 1841, 11, 6099, 429, 7025, 1251, 1401, 1495, 476, 3123, 1576, 807, 525, 32294, 476, 22596, 13, 16377, 11, 421, 1340, 374, 537, 3330, 518, 498, 11, 429, 594, 264, 9958, 1841, 429, 1340, 594, 537, 1787, 311, 264, 21057, 13, 10973, 686, 2968, 498, 803, 96240, 5868, 304, 1045, 5048, 979, 807, 1366, 311, 387, 58234, 11, 1741, 10687, 279, 45075, 1495, 323, 86317, 3330, 1495, 13, 328, 79498, 97767, 279, 6414, 374, 264, 17040, 429, 1657, 3198, 728, 1119, 979, 807, 525, 8580, 369, 264, 21057, 13, 8713, 1059, 44072, 18840, 657, 323, 525, 1059, 6414, 84400, 30, 1416, 773, 11, 1493, 525, 11929, 429, 1340, 374, 21413, 1660, 2163, 498, 11, 773, 1340, 374, 4658, 1787, 311, 264, 21057, 624, 17, 13, 9192, 518, 1059, 22877, 13, 10973, 10549, 862, 22877, 369, 264, 21057, 13, 2055, 421, 498, 1366, 311, 1414, 421, 1340, 6801, 311, 21057, 498, 11, 7168, 304, 389, 1059, 10780, 13, 2160, 1340, 67096, 1059, 19050, 476, 66131, 1059, 22877, 30, 4220, 1410, 387, 11929, 429, 1340, 374, 4460, 311, 20507, 268, 1105, 369, 264, 21057, 13, 1416, 1340, 374, 9836, 287, 1059, 22877, 476, 807, 1401, 70736, 11, 419, 374, 264, 3873, 1841, 13, 2932, 374, 15316, 11675, 1007, 311, 498, 13, 1416, 1340, 594, 9251, 19050, 35351, 5926, 11, 476, 7722, 6758, 1059, 11486, 11, 419, 1410, 3076, 1340, 6801, 1059, 22877, 311, 1401, 34846, 311, 498, 11, 304, 279, 16005, 498, 686, 21057, 1105, 13, 1096, 374, 5310, 830, 421, 498, 646, 3291, 1340, 594, 56903, 3440, 1105, 320, 36790, 979, 498, 3937, 311, 279, 14852, 568, 1416, 1340, 594, 3330, 518, 20922, 22877, 11, 432, 4658, 3363, 1340, 374, 7274, 911, 51046, 1105, 624, 18, 13, 11471, 6529, 311, 1059, 19142, 13, 1096, 2578, 5112, 10322, 11, 714, 3412, 702, 6839, 279, 19142, 646, 2968, 3123, 17289, 315, 12591, 481, 3545, 2041, 1059, 43014, 432, 13, 1416, 1059, 56326, 8669, 525, 1320, 3249, 10078, 11, 1340, 4658, 6801, 264, 21057, 13, 12809, 2673, 11, 1320, 3249, 279, 56326, 8669, 3363, 1340, 374, 4633, 304, 803, 3720, 1576, 1340, 374, 20045, 369, 6961, 5702, 13, 1446, 1184, 311, 1896, 419, 825, 304, 2266, 13, 1416, 1340, 594, 304, 279, 6149, 315, 458, 5693, 448, 498, 11, 279, 6961, 5702, 1059, 2487, 374, 20045, 1059, 369, 2578, 537, 387, 304, 697, 4694, 4192, 565, 72077, 1059, 1008, 2487, 4128, 271, 16, 13, 10357, 1059, 47278, 13, 3877, 552, 646, 387, 1602, 30620, 13, 23309, 315, 10535, 374, 1865, 705, 315, 2477, 98056, 13313, 55916, 13, 17688, 1251, 1513, 944, 1496, 13083, 807, 525, 41147, 419, 1616, 13, 1416, 1340, 374, 6832, 1119, 498, 476, 8841, 498, 11, 1496, 10078, 11, 432, 4658, 3363, 1340, 374, 803, 1787, 311, 264, 21057, 13, 1913, 279, 1008, 1424, 11, 421, 1340, 374, 48348, 3123, 11, 429, 594, 264, 3873, 1841, 13, 1446, 1265, 1083, 2291, 6529, 311, 279, 5106, 1059, 7541, 525, 21633, 13, 1416, 807, 525, 21633, 3123, 504, 498, 11, 432, 1410, 387, 264, 1841, 1340, 374, 3330, 369, 264, 6012, 311, 5274, 13, 12553, 1340, 3271, 3123, 979, 498, 3271, 10078, 8841, 1059, 30, 1096, 374, 264, 1273, 498, 646, 990, 311, 6629, 1059, 2487, 4128, 2734, 304, 51046, 498, 13, 3719, 83, 398, 1855, 803, 315, 264, 10143, 315, 65164, 323, 1490, 421, 1340, 4581, 550, 476, 10797, 3123, 311, 56060, 432, 624, 17, 13, 19173, 1059, 6078, 13, 10973, 686, 990, 862, 6078, 311, 5796, 2513, 476, 1473, 17002, 13489, 421, 807, 1366, 498, 311, 21057, 1105, 13, 1416, 264, 5220, 11088, 448, 1059, 54447, 11, 1340, 594, 4658, 1119, 498, 13, 1988, 498, 1265, 1896, 419, 1160, 304, 2266, 13, 1416, 1340, 1083, 702, 1008, 2487, 4128, 429, 374, 1787, 311, 498, 11, 429, 594, 264, 2664, 1841, 1576, 7025, 264, 5220, 374, 1101, 22596, 13, 1416, 264, 5220, 374, 5619, 448, 476, 4384, 50768, 1059, 6869, 11, 432, 594, 264, 1841, 1340, 6801, 498, 311, 1477, 1059, 18879, 323, 374, 87242, 448, 498, 13, 1416, 1340, 28627, 2494, 770, 11, 1075, 264, 8991, 320, 27173, 1059, 19225, 916, 432, 701, 304, 1496, 264, 14400, 59617, 1616, 11, 429, 594, 264, 1661, 1841, 624, 18, 13, 13824, 369, 1059, 28627, 13, 1416, 1340, 702, 23939, 498, 5926, 11, 1496, 304, 2613, 5510, 11, 419, 1410, 387, 1059, 1616, 315, 6825, 803, 65164, 304, 279, 16005, 498, 686, 21057, 1059, 13, 7418, 279, 59047, 315, 28627, 1473, 12591, 13, 2938, 3363, 432, 594, 264, 1661, 1841, 421, 1340, 61626, 1059, 1424, 2348, 697, 21381, 476, 6773, 13, 19338, 4658, 3363, 1340, 6801, 311, 633, 12128, 311, 498, 13, 1084, 594, 458, 1496, 2664, 1841, 421, 1340, 28627, 697, 3579, 13, 1416, 1340, 56050, 11, 1486, 3641, 12983, 498, 389, 279, 6773, 11, 1340, 374, 4460, 311, 1855, 264, 56069, 46711, 448, 498, 11, 892, 374, 264, 1616, 429, 3198, 52630, 13, 1446, 1410, 1273, 1059, 700, 553, 30587, 1059, 10078, 1156, 311, 1490, 1246, 1340, 30580, 13, 1752, 3110, 11, 15625, 697, 7541, 2348, 10837, 1212, 279, 1965, 323, 1490, 1128, 1340, 1558, 13, 13293, 14762, 374, 311, 5796, 264, 6573, 315, 30717, 1340, 702, 33404, 320, 682, 81, 819, 11, 54447, 701, 323, 1977, 498, 49763, 432, 13, 1416, 1340, 42532, 323, 374, 10402, 448, 498, 7218, 12128, 1119, 1059, 3550, 11, 429, 594, 264, 1661, 1841, 624, 19, 13, 23297, 3425, 1340, 702, 1787, 2487, 4128, 13, 3197, 4429, 3786, 11, 374, 1059, 2487, 4128, 7877, 476, 374, 432, 1787, 30, 1416, 1340, 702, 1787, 2487, 4128, 11, 1340, 374, 537, 4460, 311, 37632, 29640, 1948, 498, 13, 58024, 315, 1787, 2487, 4128, 2924, 11715, 518, 279, 3108, 11, 2487, 85917, 8841, 498, 476, 12880, 498, 11, 7912, 3645, 11, 7541, 14283, 8841, 498, 13, 58024, 315, 7877, 2487, 4128, 2924, 11715, 27031, 916, 15138, 11, 7541, 476, 14201, 27031, 11, 7541, 21633, 3123, 504, 498, 11, 2487, 85917, 3123, 504, 498, 11, 323, 17377, 7912, 3645, 13, 2585, 1753, 4345, 3550, 374, 1340, 9380, 1948, 498, 30, 1416, 432, 594, 537, 1753, 11, 1340, 594, 2669, 1787, 311, 458, 31387, 3633, 448, 498, 389, 1045, 2188, 13, 1096, 374, 264, 1661, 1841, 369, 498, 4192, 565, 14934, 1008, 21057, 14068, 271, 16, 13, 21144, 1246, 1340, 13433, 311, 498, 13, 12553, 1340, 2803, 1075, 1340, 6801, 311, 2506, 279, 10435, 2087, 30, 1084, 594, 264, 1661, 1841, 369, 498, 421, 1340, 1558, 13, 2160, 1340, 10161, 498, 264, 2696, 315, 4755, 30, 8713, 807, 5538, 323, 4345, 30, 1416, 279, 11253, 525, 9834, 11, 1340, 4658, 6801, 264, 803, 31387, 3633, 448, 498, 13, 8713, 498, 3259, 1059, 12550, 30, 83035, 287, 518, 697, 31420, 320, 34946, 421, 807, 525, 537, 1602, 15173, 8, 374, 264, 1616, 429, 3198, 52630, 13, 2160, 1340, 4460, 311, 2506, 279, 10435, 2087, 553, 1660, 279, 825, 311, 2548, 4755, 476, 2990, 476, 2118, 279, 10435, 30, 2938, 594, 264, 1661, 1841, 13, 1084, 594, 264, 3873, 1841, 421, 1340, 15354, 279, 10435, 448, 261, 1119, 21162, 1948, 498, 476, 498, 2666, 1075, 498, 2299, 3730, 678, 279, 8811, 32410, 311, 2506, 432, 2087, 624, 17, 13, 9735, 279, 65494, 51046, 14762, 13, 2619, 525, 1045, 12538, 498, 646, 990, 311, 1936, 7244, 23504, 11, 1393, 16558, 1246, 1340, 30580, 323, 91506, 1182, 13, 14561, 3265, 311, 1059, 323, 5796, 1059, 11, 2987, 1059, 6078, 476, 14201, 13, 38147, 1495, 697, 25938, 323, 4244, 13, 9192, 518, 1059, 1290, 7912, 13, 22749, 279, 1401, 369, 264, 2421, 6486, 11, 1221, 3271, 697, 35396, 311, 1059, 2115, 7912, 13, 49656, 1549, 13, 4695, 11, 3271, 697, 35396, 323, 3331, 432, 389, 1059, 10780, 13, 2932, 1265, 387, 803, 87551, 311, 264, 21057, 320, 300, 1293, 438, 1340, 12492, 944, 7726, 3123, 27584, 18, 13, 23297, 279, 3241, 315, 6638, 13, 10973, 498, 3003, 1101, 2270, 686, 3545, 2968, 498, 264, 2805, 3241, 315, 6638, 369, 264, 21057, 13, 1096, 646, 387, 264, 33453, 43363, 1160, 13, 1096, 686, 387, 8661, 421, 1340, 594, 2669, 697, 22761, 1576, 498, 686, 387, 2952, 311, 7702, 279, 11929, 803, 30268, 13, 362, 5220, 498, 3003, 1101, 2270, 374, 1083, 7497, 498, 13, 1446, 1184, 311, 2968, 1059, 11929, 429, 498, 1075, 1059, 979, 1340, 4977, 87551, 311, 498, 11, 5937, 1340, 1231, 2666, 17551, 476, 61845, 323, 1191, 311, 6815, 3123, 323, 1430, 311, 1281, 498, 32486, 1059, 13, 1416, 498, 3116, 279, 3241, 315, 6638, 11, 1340, 1231, 1744, 498, 6853, 12136, 476, 7629, 944, 8014, 304, 1059, 13, 1988, 421, 498, 1430, 311, 21057, 1059, 1573, 432, 15885, 11, 1340, 2578, 1744, 498, 2299, 708, 269, 812, 476, 2238, 19188, 13, 2055, 16558, 2487, 4128, 12850, 624, 19, 13, 13760, 1059, 7218, 3123, 13, 1446, 1265, 2677, 387, 10030, 369, 279, 11785, 25, 3555, 421, 498, 1430, 311, 3271, 12128, 476, 5796, 1059, 10078, 11, 323, 1340, 10797, 3123, 30, 10696, 1340, 594, 1101, 19227, 476, 537, 304, 264, 1661, 19671, 13, 10479, 8788, 30, 1446, 1513, 944, 1366, 311, 1281, 432, 10960, 448, 264, 3873, 2033, 13, 70813, 374, 4297, 13, 3218, 1075, 4302, 702, 10017, 13, 40712, 11, 1473, 429, 498, 2299, 537, 14989, 1007, 13, 1446, 1410, 1496, 1281, 264, 16506, 922, 573, 911, 1059, 1660, 18838, 979, 1340, 594, 32294, 13, 4320, 944, 1160, 18514, 476, 61845, 13, 2938, 594, 537, 32252, 311, 3198, 13, 10696, 1340, 594, 8014, 304, 498, 714, 1101, 537, 5527, 369, 264, 21057, 3602, 13, 758, 429, 1142, 11, 498, 1410, 975, 389, 4752, 803, 4185, 4910, 323, 65164, 12, 13970, 13, 3680, 11037, 697, 4522, 369, 264, 21057, 1290, 1431, 323, 4518, 5244, 389, 3432, 264, 2244, 10435, 448, 1059, 11, 323, 6099, 311, 2510, 304, 1045, 71639, 0, 320, 35090, 2948, 429, 28175, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 387, 304, 264, 5025, 2041, 697, 6562, 14063, 30, 151645, 198, 151644, 77091, 198, 5404, 498, 614, 264, 5025, 498, 1366, 311, 10265, 504, 697, 6562, 30, 8713, 697, 6562, 58425, 11, 42558, 11, 476, 1101, 264, 2699, 2238, 15332, 30, 13139, 498, 3129, 10282, 432, 264, 6234, 1576, 498, 3129, 2238, 3908, 476, 1576, 697, 6562, 2765, 1405, 28151, 4152, 311, 862, 2750, 11, 25037, 697, 5025, 646, 387, 17003, 13, 5976, 498, 1410, 5214, 13188, 697, 6562, 6, 6950, 421, 807, 3512, 1477, 700, 11, 498, 1513, 944, 1366, 311, 2182, 6133, 304, 11428, 594, 1616, 476, 29385, 697, 2750, 13, 30866, 11, 47848, 11, 323, 6950, 525, 7565, 311, 894, 5025, 11, 714, 7025, 498, 1184, 311, 387, 2686, 1091, 89867, 369, 697, 1828, 10502, 323, 6961, 2820, 382, 565, 1374, 19991, 3170, 498, 1265, 10265, 697, 5025, 271, 16, 13, 54115, 697, 29501, 13, 98881, 421, 432, 594, 3520, 264, 1661, 4522, 311, 2506, 697, 5025, 448, 697, 6562, 13, 3155, 697, 6562, 827, 49221, 315, 697, 5025, 1576, 807, 525, 7304, 11, 28119, 476, 4099, 5963, 635, 30, 12553, 7674, 11, 13587, 11, 476, 458, 4231, 6672, 8168, 1119, 862, 827, 54439, 30, 5976, 697, 6562, 614, 279, 8760, 315, 2272, 3139, 11, 1172, 498, 1414, 1128, 697, 5025, 374, 5802, 311, 498, 13, 18976, 311, 697, 4780, 323, 1824, 1849, 13, 19881, 429, 421, 498, 2506, 697, 5025, 264, 6234, 11, 279, 7046, 279, 4650, 5322, 686, 387, 979, 432, 4041, 311, 3100, 13, 1446, 614, 264, 1824, 1849, 311, 1492, 8474, 498, 304, 279, 1290, 5106, 13, 1416, 498, 1101, 1513, 944, 1744, 279, 5025, 374, 6001, 3322, 3602, 323, 1513, 944, 6426, 697, 6562, 311, 1281, 264, 2409, 3484, 315, 432, 11, 1045, 315, 279, 2701, 11221, 1231, 387, 26541, 13, 21144, 1246, 697, 6562, 1231, 2666, 421, 498, 61158, 279, 1184, 369, 59959, 26, 807, 1231, 2666, 24402, 323, 5775, 3170, 1513, 944, 498, 6950, 1105, 13, 11778, 15276, 26248, 421, 498, 2167, 728, 8305, 13, 1752, 3110, 11, 1744, 911, 1128, 1035, 498, 653, 421, 498, 525, 10568, 553, 697, 6562, 11, 1744, 911, 1128, 1035, 498, 653, 421, 697, 6562, 1414, 498, 525, 40277, 264, 8651, 3590, 3687, 2692, 14, 20474, 2779, 4540, 429, 3643, 990, 311, 19032, 448, 697, 8263, 11, 1744, 911, 1128, 1035, 498, 653, 421, 697, 4924, 5025, 5780, 4969, 11, 1744, 911, 1128, 1035, 498, 653, 421, 498, 14422, 705, 11, 4992, 13, 21144, 3425, 1493, 15276, 31236, 61708, 525, 16637, 13, 1084, 374, 11102, 311, 387, 10745, 421, 498, 525, 3709, 10568, 13, 9646, 498, 633, 10568, 11, 803, 15448, 1035, 1172, 1281, 498, 633, 1119, 7046, 12264, 11, 33346, 264, 2997, 5025, 13, 1634, 369, 4924, 5025, 5780, 4969, 476, 11513, 4041, 11, 498, 686, 1184, 2244, 10502, 323, 6961, 4271, 311, 9946, 432, 2041, 894, 1824, 504, 697, 6562, 624, 17, 13, 16433, 349, 448, 697, 8263, 13, 1416, 498, 1366, 311, 22729, 697, 5025, 8818, 14063, 429, 697, 6562, 686, 827, 49221, 11, 1077, 697, 8263, 1414, 3170, 498, 1744, 429, 419, 374, 279, 1290, 3308, 315, 1917, 13, 4615, 8263, 1231, 2666, 2686, 2989, 323, 4446, 70554, 311, 697, 5025, 421, 498, 1513, 944, 37163, 697, 28931, 13, 576, 5021, 498, 10265, 11, 279, 803, 5000, 432, 374, 2087, 311, 387, 13, 4615, 8263, 1231, 614, 264, 2697, 5693, 421, 566, 476, 1340, 702, 1012, 1526, 419, 6534, 1573, 13, 1752, 3110, 11, 1101, 1576, 432, 374, 697, 1156, 52461, 5025, 11, 432, 1231, 537, 387, 279, 1156, 882, 369, 697, 8263, 13, 1260, 476, 1340, 1231, 614, 14976, 9462, 311, 1492, 498, 3535, 1380, 697, 6562, 525, 5001, 504, 323, 11, 3403, 678, 770, 11, 3432, 1059, 1824, 646, 1492, 14219, 697, 8464, 13, 4615, 8263, 1231, 1083, 89600, 279, 6534, 13, 4329, 1251, 1720, 311, 387, 11523, 518, 279, 1191, 315, 264, 6001, 5025, 11, 1045, 525, 7010, 448, 8580, 11, 323, 1045, 653, 537, 6426, 311, 387, 11523, 369, 5008, 1045, 882, 624, 18, 13, 21144, 279, 17979, 315, 697, 6562, 13, 1084, 1231, 387, 5000, 311, 6723, 8225, 17979, 911, 4325, 498, 2453, 911, 11, 714, 7025, 697, 6562, 1231, 614, 264, 2664, 13057, 389, 1293, 9663, 19554, 13, 39630, 389, 697, 8741, 448, 697, 6562, 11, 807, 1231, 614, 12264, 27564, 15486, 862, 827, 54439, 13, 68568, 448, 6562, 646, 387, 16965, 13, 1084, 1231, 387, 5000, 311, 387, 1787, 323, 10745, 714, 2506, 697, 10535, 48050, 773, 438, 537, 311, 88590, 279, 6534, 13, 1752, 3110, 11, 1393, 498, 1231, 1744, 429, 498, 525, 25037, 697, 21261, 11, 498, 3520, 1231, 387, 5001, 1007, 27879, 41985, 46719, 476, 4131, 838, 88, 624, 19, 13, 19881, 678, 9314, 11871, 525, 5798, 389, 6950, 11, 5091, 11, 323, 10535, 13, 13139, 498, 525, 4460, 311, 19681, 697, 5025, 448, 697, 8263, 476, 10306, 279, 5025, 448, 697, 6562, 11, 6950, 323, 5091, 614, 311, 387, 3042, 369, 264, 28769, 5025, 13, 1416, 498, 3119, 389, 25037, 697, 5025, 11, 2548, 6133, 3170, 72028, 697, 2681, 594, 6950, 374, 279, 1172, 2999, 13, 27379, 323, 14269, 1632, 32751, 1265, 537, 387, 66804, 369, 5489, 11, 2670, 697, 6562, 476, 8263, 13, 4841, 697, 6562, 3635, 21893, 476, 84107, 42558, 421, 807, 1730, 700, 911, 697, 5025, 30, 2160, 894, 12893, 315, 697, 5025, 12055, 448, 697, 6562, 527, 20799, 30, 1416, 697, 6562, 527, 827, 54439, 374, 3118, 389, 47686, 476, 421, 862, 12720, 374, 42558, 11, 5931, 6584, 1492, 13, 4615, 10502, 323, 6961, 2820, 374, 697, 1156, 10619, 4192, 565, 6065, 2020, 916, 67660, 2681, 271, 16, 13, 2823, 14851, 13, 4615, 6562, 686, 2677, 387, 28119, 773, 1473, 1105, 429, 498, 525, 2310, 3322, 311, 3705, 279, 27323, 315, 264, 5025, 13, 76695, 11, 1473, 697, 6562, 429, 498, 525, 8480, 323, 646, 1795, 678, 279, 5601, 13, 1416, 697, 6562, 1744, 498, 525, 2238, 3908, 369, 264, 5025, 11, 387, 389, 882, 11, 653, 697, 81469, 11, 323, 3920, 13, 1416, 498, 646, 8722, 697, 6562, 6, 6950, 11, 1221, 697, 6562, 686, 5135, 13083, 429, 498, 525, 14851, 3322, 311, 3705, 264, 5025, 624, 17, 13, 70894, 279, 15276, 315, 855, 5612, 2174, 1839, 13, 42926, 3545, 73631, 11871, 369, 8679, 315, 83845, 7295, 81208, 323, 26583, 33599, 18873, 13, 29279, 429, 498, 323, 697, 8263, 9428, 3535, 1493, 15276, 13, 2619, 374, 264, 1931, 13038, 429, 421, 498, 525, 537, 10030, 11, 323, 498, 653, 614, 458, 34921, 19636, 476, 5116, 458, 29859, 11, 697, 6562, 1231, 537, 387, 1052, 311, 1824, 498, 476, 1101, 646, 944, 1492, 498, 320, 68, 1302, 2572, 807, 646, 1492, 498, 448, 12678, 705, 264, 1682, 311, 1045, 12818, 11, 421, 807, 6426, 311, 653, 773, 26, 807, 646, 944, 26116, 22664, 568, 2610, 1231, 537, 7503, 448, 697, 6562, 5601, 11, 714, 19032, 448, 697, 8263, 323, 5091, 1817, 1008, 594, 22711, 311, 5978, 498, 525, 2176, 10030, 323, 6092, 13, 14187, 429, 498, 1265, 387, 30287, 553, 697, 5089, 1008, 323, 429, 807, 1265, 8844, 311, 697, 11454, 13, 13317, 5273, 374, 16198, 304, 264, 5025, 11, 714, 419, 374, 825, 3082, 1380, 13866, 4614, 1265, 614, 311, 29385, 862, 20799, 13, 14187, 429, 421, 498, 525, 23541, 311, 1896, 279, 5025, 311, 2441, 2188, 714, 697, 8263, 4436, 944, 5527, 11, 498, 1969, 5091, 862, 5754, 13, 14695, 7262, 697, 8263, 624, 18, 13, 34006, 393, 6352, 13943, 13, 2823, 61404, 911, 697, 36705, 13, 1446, 2581, 1414, 879, 374, 10099, 13, 362, 21789, 4238, 1231, 32384, 3291, 697, 6562, 304, 12299, 11, 537, 14063, 429, 697, 5025, 374, 264, 6234, 13, 3360, 6132, 71991, 304, 584, 323, 1008, 7586, 315, 393, 6352, 1231, 2803, 52897, 714, 6099, 429, 421, 697, 6562, 1477, 700, 11, 807, 1231, 1744, 429, 697, 5025, 702, 2669, 27031, 4623, 1119, 279, 65164, 12171, 624, 19, 13, 11292, 825, 501, 2779, 4540, 41739, 13, 1416, 432, 374, 3204, 311, 653, 773, 11, 40277, 264, 8651, 2779, 4540, 646, 1492, 498, 304, 19669, 6132, 1995, 11, 714, 4486, 6099, 429, 498, 1969, 10265, 697, 501, 4540, 10277, 476, 498, 686, 387, 304, 12264, 13, 1416, 498, 525, 537, 2952, 311, 3695, 825, 501, 4540, 11, 498, 1231, 2182, 264, 3552, 304, 697, 4024, 2779, 4540, 323, 6366, 421, 27931, 1911, 13568, 13, 4354, 11, 432, 374, 537, 25104, 311, 653, 773, 13, 77890, 476, 10018, 264, 3552, 389, 6094, 6366, 14, 2779, 4540, 1231, 633, 31327, 11, 1496, 1045, 6562, 1231, 2548, 498, 311, 15055, 14, 13499, 279, 3552, 738, 979, 807, 1779, 697, 4540, 476, 990, 279, 2997, 6366, 13, 10428, 279, 6605, 389, 697, 4540, 979, 498, 6084, 476, 5274, 697, 4540, 650, 84906, 13, 1084, 374, 11102, 311, 3698, 27037, 4518, 315, 678, 6605, 1576, 498, 1231, 633, 31327, 421, 279, 29522, 3840, 374, 10113, 13, 1084, 374, 1850, 311, 990, 4848, 63441, 3856, 389, 264, 6929, 979, 498, 525, 2860, 13, 18214, 11, 35988, 31321, 3840, 1283, 498, 614, 1012, 2860, 13, 4354, 11, 2714, 4422, 31321, 3840, 1231, 1401, 31327, 421, 279, 6929, 3840, 702, 2581, 1012, 63700, 389, 264, 6094, 3671, 11, 714, 421, 498, 990, 4848, 63441, 3856, 11, 498, 1513, 944, 1184, 311, 10955, 911, 419, 13, 758, 1142, 697, 6562, 1779, 697, 4540, 11, 2987, 1513, 1405, 2182, 697, 8263, 748, 1372, 389, 697, 4540, 476, 990, 697, 8263, 748, 29399, 476, 39753, 4518, 315, 806, 5042, 1156, 829, 13, 1084, 374, 1083, 3204, 311, 990, 279, 60065, 476, 45184, 1352, 315, 862, 829, 13, 1752, 3110, 11, 17083, 9044, 54758, 12642, 323, 48143, 9044, 18095, 13, 4354, 11, 432, 374, 1850, 311, 16035, 551, 697, 8263, 594, 3645, 1995, 304, 697, 3971, 323, 1513, 944, 2182, 894, 315, 806, 37907, 3645, 1995, 389, 697, 4540, 624, 20, 13, 24647, 697, 8263, 537, 311, 1736, 4113, 389, 3590, 3687, 6594, 476, 3624, 9690, 6605, 13, 1416, 498, 614, 264, 3590, 3687, 2692, 476, 990, 1008, 9690, 29522, 10500, 11, 697, 6562, 1410, 1779, 705, 389, 498, 476, 6723, 504, 4325, 770, 448, 2615, 311, 697, 2692, 13, 4230, 458, 24609, 2692, 429, 498, 646, 990, 311, 387, 23467, 448, 697, 8263, 13, 1096, 374, 264, 25163, 5392, 979, 14550, 448, 1293, 6010, 11871, 624, 21, 13, 12243, 264, 3421, 13, 576, 55942, 4780, 1896, 1378, 6887, 25, 220, 16, 8, 12689, 287, 498, 389, 25037, 279, 5025, 323, 7086, 498, 9462, 389, 697, 5025, 13, 2379, 646, 1824, 498, 389, 25037, 279, 5025, 1741, 438, 50596, 389, 7343, 369, 697, 6562, 421, 498, 2299, 389, 264, 2400, 13, 2806, 1172, 1846, 4780, 646, 387, 264, 2244, 3421, 5239, 369, 4540, 6738, 476, 21984, 11, 714, 807, 1083, 1160, 438, 458, 21392, 16379, 773, 429, 498, 646, 9382, 6133, 311, 279, 20380, 311, 1896, 26248, 13, 1752, 2867, 11, 498, 4780, 1477, 700, 697, 6562, 1035, 728, 311, 14696, 389, 53008, 11, 1221, 498, 1265, 1896, 17879, 1573, 498, 1366, 311, 3367, 448, 697, 8263, 13, 576, 2441, 2618, 315, 1105, 374, 16558, 697, 5025, 13, 1446, 1265, 21256, 264, 4948, 23389, 25, 576, 803, 7743, 11, 498, 1281, 46478, 5480, 13, 1084, 374, 2664, 311, 614, 803, 1091, 825, 14720, 4780, 773, 429, 498, 646, 8844, 311, 803, 1091, 825, 7743, 421, 498, 614, 10077, 315, 4963, 311, 653, 419, 11, 1496, 697, 4780, 1410, 1352, 264, 364, 28607, 4427, 4354, 279, 8538, 48736, 374, 279, 8131, 3590, 1874, 11, 279, 7046, 6012, 315, 6234, 80273, 1496, 1526, 807, 525, 29236, 13, 1416, 697, 4780, 702, 10520, 911, 697, 8263, 476, 40616, 311, 3060, 1660, 697, 452, 39393, 11, 74399, 806, 37907, 9462, 13, 1084, 748, 4135, 311, 1744, 429, 825, 2530, 374, 4969, 11, 714, 421, 5248, 8173, 525, 11629, 498, 537, 311, 3060, 697, 5025, 11, 8365, 432, 748, 1850, 311, 8844, 311, 862, 12218, 13, 12091, 1105, 438, 458, 27291, 421, 807, 1513, 944, 7503, 311, 432, 374, 27643, 311, 697, 4238, 624, 22, 13, 25590, 20609, 13, 1084, 374, 1850, 311, 10265, 678, 279, 20609, 21000, 13, 1084, 1410, 387, 518, 279, 4889, 315, 697, 2114, 518, 697, 55942, 4238, 594, 2114, 11, 8016, 5819, 11, 697, 8263, 594, 2114, 11, 4992, 13, 1084, 374, 16510, 25104, 537, 311, 2506, 279, 20609, 518, 697, 2114, 1576, 697, 6562, 1410, 1477, 1493, 20609, 6707, 421, 807, 525, 10602, 323, 96553, 304, 35101, 1449, 9131, 315, 697, 3753, 26364, 13, 1446, 2299, 2087, 311, 4038, 6529, 504, 697, 6562, 421, 498, 14843, 5296, 697, 31944, 476, 3054, 13, 1446, 646, 1083, 7503, 311, 4228, 1817, 1008, 311, 93630, 476, 9508, 4751, 1091, 7086, 6961, 20609, 4192, 565, 42650, 51408, 271, 16, 13, 38068, 697, 4780, 504, 40265, 911, 697, 5025, 448, 5489, 13, 13139, 432, 594, 11629, 1251, 304, 12299, 476, 17004, 389, 1817, 1008, 594, 3590, 3687, 6816, 11, 20001, 1246, 53577, 432, 1035, 387, 421, 862, 24243, 3980, 1865, 1181, 1616, 311, 697, 6562, 13, 9784, 3687, 646, 387, 5310, 11406, 1576, 498, 2581, 1414, 879, 374, 8433, 311, 8711, 13, 20437, 697, 4780, 80767, 537, 311, 1736, 894, 3625, 6283, 15873, 6042, 476, 9185, 13, 1084, 1231, 387, 264, 23335, 4522, 537, 311, 1077, 5489, 1896, 894, 9185, 979, 498, 525, 304, 264, 1874, 6243, 448, 697, 5089, 1008, 624, 17, 13, 5443, 5248, 3590, 3687, 9618, 13, 576, 2244, 3166, 911, 3590, 3687, 374, 429, 279, 8131, 6594, 525, 1910, 13, 2573, 705, 438, 1657, 9618, 438, 498, 1184, 311, 3421, 697, 13918, 13, 19881, 697, 3552, 323, 1172, 1487, 389, 979, 1667, 264, 3671, 537, 6094, 448, 697, 6562, 624, 18, 13, 2573, 705, 264, 12528, 2551, 2692, 13, 2806, 1172, 1035, 264, 12418, 2551, 2692, 387, 75724, 1576, 697, 6562, 2765, 944, 15282, 432, 11, 714, 498, 1265, 1083, 990, 432, 311, 738, 705, 697, 12418, 3590, 3687, 2692, 13, 19881, 429, 697, 6562, 646, 2711, 369, 498, 389, 3590, 3687, 3118, 389, 697, 2551, 3546, 624, 19, 13, 27196, 697, 12345, 5003, 389, 3590, 3687, 13, 2009, 3590, 3687, 686, 2968, 498, 458, 2999, 311, 4051, 1128, 1995, 498, 4332, 448, 279, 584, 13, 5994, 311, 279, 11296, 9738, 323, 738, 705, 697, 5526, 773, 429, 1172, 498, 323, 697, 8263, 614, 2615, 311, 432, 13, 1446, 646, 1083, 3293, 264, 2421, 4780, 311, 387, 2952, 311, 1651, 697, 5526, 421, 498, 81477, 1105, 55942, 13, 1446, 686, 614, 279, 6638, 311, 4051, 697, 8837, 323, 74481, 773, 429, 498, 646, 2504, 697, 6562, 504, 9120, 13, 4354, 11, 279, 1850, 1616, 311, 2504, 697, 6562, 504, 9120, 374, 537, 311, 1736, 4113, 33346, 518, 678, 624, 20, 13, 39565, 895, 1995, 979, 6825, 6094, 3590, 3687, 9618, 476, 979, 3786, 304, 264, 584, 22888, 13, 19881, 429, 697, 6562, 646, 2711, 3590, 3687, 6594, 4566, 697, 2400, 315, 7194, 11, 4540, 1372, 11, 1537, 829, 11, 2906, 11, 476, 2618, 13, 4320, 944, 1281, 279, 16523, 315, 6825, 264, 895, 2692, 2041, 22573, 1449, 7716, 2765, 944, 2990, 1182, 311, 498, 13, 10388, 697, 5526, 829, 6587, 13, 4320, 944, 990, 697, 6149, 829, 11, 697, 829, 67818, 27555, 11, 476, 279, 829, 315, 697, 5562, 13, 40933, 38429, 3265, 311, 498, 1231, 835, 705, 7086, 498, 3123, 304, 279, 1293, 1598, 13, 1084, 594, 2664, 311, 10158, 14226, 27830, 624, 21, 13, 25590, 697, 21261, 13, 1416, 498, 633, 1119, 458, 5693, 448, 697, 8263, 11, 1430, 537, 311, 1473, 697, 6562, 1246, 18514, 476, 12421, 498, 525, 13, 4320, 944, 976, 1272, 304, 584, 369, 432, 311, 633, 1182, 311, 697, 6562, 13, 7379, 458, 26389, 311, 4879, 697, 21261, 13, 1084, 1231, 387, 5000, 311, 387, 11889, 311, 4332, 697, 21261, 11, 773, 3412, 5510, 311, 5358, 14269, 700, 11240, 36279, 13, 1752, 3110, 11, 4633, 705, 45229, 1231, 975, 311, 10378, 31986, 1393, 14289, 311, 84673, 4627, 304, 43001, 1231, 387, 3322, 311, 25032, 498, 705, 1283, 458, 5693, 448, 697, 8263, 13, 8278, 498, 1414, 1246, 311, 3705, 697, 21261, 624, 22, 13, 13655, 3754, 315, 1128, 498, 525, 11629, 5019, 13, 1416, 498, 525, 20446, 311, 264, 2696, 315, 1251, 11, 432, 686, 3635, 5000, 311, 2506, 3754, 315, 678, 279, 3565, 13, 13655, 697, 7343, 12966, 323, 1430, 311, 2506, 432, 438, 4285, 438, 3204, 13, 576, 803, 3565, 498, 912, 11, 279, 803, 5000, 432, 686, 387, 311, 6099, 1105, 678, 624, 23, 13, 16321, 697, 8263, 438, 264, 44989, 14011, 5025, 13, 4320, 944, 1077, 697, 6562, 633, 31327, 498, 525, 25037, 264, 5025, 504, 1105, 553, 20194, 1105, 1414, 429, 498, 614, 264, 44989, 14011, 5025, 448, 697, 8263, 429, 18154, 697, 882, 13, 1333, 47845, 1105, 29347, 323, 3061, 911, 1105, 279, 1852, 438, 894, 1008, 44989, 14011, 5025, 304, 697, 2272, 13, 1752, 3110, 11, 421, 498, 19131, 1105, 438, 697, 59968, 261, 11, 498, 646, 3061, 911, 975, 13904, 4714, 323, 16261, 323, 1246, 498, 323, 697, 8263, 614, 7248, 825, 2441, 1526, 57882, 624, 24, 13, 10388, 697, 14021, 13, 25826, 697, 8263, 518, 7482, 429, 498, 1035, 537, 14279, 728, 311, 323, 429, 697, 6562, 525, 537, 7853, 315, 13, 10388, 697, 3590, 13168, 773, 429, 498, 5274, 902, 6012, 315, 3709, 10568, 553, 697, 6562, 476, 4325, 879, 1410, 3291, 697, 6562, 13, 23434, 3602, 11, 1477, 700, 697, 6562, 6, 9700, 13, 2806, 1172, 686, 498, 387, 2952, 311, 614, 8919, 8668, 1448, 484, 14063, 1380, 697, 6562, 525, 714, 498, 686, 1083, 387, 2952, 311, 3367, 697, 8263, 438, 3041, 3123, 504, 1105, 438, 498, 646, 4192, 565, 26263, 448, 264, 6672, 304, 4231, 271, 16, 13, 20437, 6133, 421, 498, 2666, 1075, 6133, 2163, 697, 8263, 13, 4615, 8263, 1265, 4193, 498, 369, 879, 498, 525, 323, 697, 6562, 1231, 537, 387, 2952, 311, 1490, 7797, 279, 4231, 6672, 13, 9646, 697, 6562, 1490, 429, 697, 5025, 374, 9314, 323, 429, 498, 525, 264, 2664, 1697, 369, 432, 11, 432, 686, 387, 8661, 369, 1105, 311, 1490, 7797, 279, 4231, 12929, 624, 17, 13, 13655, 13057, 13, 1084, 748, 4135, 311, 633, 40223, 705, 304, 279, 87403, 315, 4924, 4325, 9014, 476, 14650, 1091, 498, 13, 9192, 8305, 323, 1490, 421, 279, 4231, 6672, 686, 7802, 498, 304, 894, 1616, 13, 4615, 6562, 1231, 387, 62657, 429, 279, 4231, 12929, 1231, 93315, 438, 697, 5025, 9539, 13, 362, 6672, 304, 4231, 1231, 387, 803, 315, 264, 2409, 3484, 421, 498, 525, 14650, 13, 4615, 6562, 1231, 387, 62657, 429, 498, 525, 7826, 705, 2238, 5135, 476, 429, 458, 9014, 8263, 374, 4633, 9423, 315, 498, 13, 362, 2409, 4231, 12929, 421, 498, 2299, 264, 8922, 323, 697, 8263, 4436, 944, 1231, 1083, 387, 11816, 13, 11778, 862, 13057, 1119, 2692, 979, 14354, 697, 5025, 624, 18, 13, 70894, 894, 2355, 29195, 13, 1416, 697, 8263, 374, 697, 14227, 476, 13392, 11, 432, 748, 73878, 311, 1414, 279, 5601, 13, 4615, 6562, 1231, 2732, 8661, 14063, 429, 5019, 374, 2617, 504, 894, 5777, 6168, 13, 70894, 429, 1660, 304, 264, 11079, 2268, 93645, 5025, 646, 633, 279, 11079, 13895, 323, 11, 11649, 389, 697, 4231, 11, 1496, 54506, 13, 1096, 374, 825, 5025, 429, 374, 2664, 311, 387, 2182, 389, 3331, 481, 369, 2176, 315, 498, 13, 1416, 498, 9428, 2948, 1817, 1008, 11, 498, 646, 3783, 3080, 2176, 315, 498, 525, 12598, 11, 323, 498, 614, 32009, 4192, 565, 26263, 448, 697, 6562, 527, 2155, 897, 271, 16, 13, 98960, 6133, 448, 32345, 1251, 13, 1416, 498, 1969, 10265, 697, 5025, 1576, 315, 264, 6672, 304, 2750, 1177, 3425, 10381, 476, 12752, 1177, 5931, 279, 1492, 315, 1251, 879, 614, 1012, 304, 4428, 14740, 13, 425, 577, 882, 311, 1492, 697, 6562, 323, 5144, 8263, 7500, 311, 279, 6534, 13, 3216, 14590, 6133, 448, 29498, 323, 48050, 1251, 11, 498, 646, 10000, 3403, 697, 6562, 527, 7877, 33323, 2090, 421, 807, 525, 45143, 311, 2297, 624, 17, 13, 9186, 697, 8263, 13, 2688, 552, 697, 8263, 429, 807, 525, 41677, 369, 323, 429, 498, 1513, 1405, 7503, 448, 697, 6562, 714, 1513, 1405, 1366, 311, 9052, 697, 5025, 448, 1105, 13, 7854, 806, 12136, 429, 697, 6562, 6, 17979, 2765, 1405, 12898, 697, 5025, 13, 6771, 1435, 1414, 429, 566, 374, 803, 2989, 1091, 697, 2681, 748, 14427, 323, 429, 279, 59959, 374, 13340, 13, 1446, 1513, 1405, 1184, 311, 2182, 264, 882, 3930, 11, 714, 432, 646, 387, 3601, 429, 697, 8263, 1231, 2968, 498, 458, 8507, 318, 26253, 13, 2308, 825, 6801, 311, 387, 304, 264, 5025, 429, 862, 8263, 374, 50875, 311, 387, 304, 13, 2823, 10030, 311, 5157, 1948, 11629, 697, 6562, 476, 13188, 697, 8263, 624, 18, 13, 4320, 1405, 1896, 264, 3108, 13, 1096, 4436, 1405, 911, 879, 374, 1290, 476, 4969, 11, 419, 374, 911, 1246, 498, 6979, 2997, 323, 697, 1828, 2750, 13, 21455, 686, 614, 311, 3960, 311, 5091, 323, 4193, 825, 2441, 421, 498, 1366, 311, 614, 1105, 304, 697, 2272, 13, 2823, 3746, 304, 697, 1828, 2750, 323, 19032, 92345, 429, 498, 525, 45143, 311, 29385, 429, 13, 472, 6577, 697, 5025, 1265, 537, 387, 15330, 13, 1084, 1231, 1896, 882, 369, 697, 6562, 311, 13083, 429, 1172, 498, 1414, 1128, 748, 1850, 369, 498, 13, 1416, 432, 3363, 13188, 697, 6562, 11, 429, 374, 369, 1105, 311, 10279, 13, 20690, 830, 311, 6133, 374, 1128, 594, 1429, 2989, 369, 697, 10502, 11, 14269, 323, 6961, 2820, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 5648, 2766, 1809, 26373, 30, 151645, 198, 151644, 77091, 198, 10724, 1809, 26373, 646, 387, 1602, 63969, 311, 825, 594, 2820, 323, 3590, 2272, 13, 576, 2701, 374, 264, 7354, 1140, 44193, 1246, 311, 5648, 10454, 56627, 11, 323, 1246, 311, 650, 18570, 849, 6133, 421, 498, 525, 2669, 56627, 382, 565, 14822, 271, 16, 13, 20829, 11752, 13, 576, 3491, 15448, 2878, 279, 3842, 11, 537, 2878, 279, 1809, 13, 2308, 4774, 518, 26150, 364, 718, 2479, 6, 646, 11996, 3080, 279, 3842, 26344, 1181, 13885, 13, 1084, 374, 537, 279, 13885, 315, 2766, 3868, 11, 6329, 279, 2213, 315, 3868, 11, 714, 279, 1697, 879, 39911, 311, 1486, 1105, 624, 17, 13, 64547, 279, 5421, 13, 2585, 1657, 4115, 264, 1899, 653, 498, 8329, 5619, 3868, 30, 3155, 498, 14279, 728, 700, 389, 279, 9001, 30, 3197, 572, 279, 1537, 882, 498, 1349, 264, 2311, 30, 22507, 7766, 279, 8225, 24905, 315, 279, 26373, 686, 1492, 498, 5244, 389, 6785, 18142, 323, 3709, 1182, 279, 2513, 429, 498, 2167, 525, 7402, 624, 18, 13, 34006, 18555, 13, 2502, 6469, 3800, 369, 5322, 429, 498, 7484, 1969, 3579, 1558, 537, 11625, 279, 5322, 13, 576, 364, 70, 6469, 4958, 6, 476, 16621, 525, 537, 279, 5240, 315, 419, 3491, 11, 323, 58671, 1105, 1558, 537, 1281, 279, 3491, 2664, 13, 576, 12767, 11, 14226, 8686, 315, 364, 39329, 388, 6, 525, 9314, 7775, 11, 24667, 11752, 374, 279, 1156, 3019, 9636, 704, 1154, 653, 537, 1281, 54486, 549, 1896, 11752, 624, 19, 13, 28737, 6785, 13, 5976, 432, 374, 2989, 311, 10542, 279, 8225, 13566, 315, 279, 3491, 11, 432, 374, 1083, 2989, 311, 5244, 389, 279, 5795, 323, 5098, 429, 498, 614, 1865, 624, 20, 13, 2573, 13388, 13, 1416, 498, 10279, 429, 498, 614, 825, 6460, 817, 1899, 311, 8329, 5619, 3868, 11, 9214, 311, 429, 13, 22201, 697, 3868, 12440, 0, 1416, 498, 525, 5619, 264, 1809, 429, 7460, 1657, 4115, 315, 26029, 1948, 25935, 476, 892, 374, 458, 1787, 83075, 1809, 1075, 1657, 77185, 82, 11, 498, 4363, 1265, 2908, 264, 2155, 1809, 476, 2155, 17328, 315, 3868, 624, 21, 13, 23519, 697, 1682, 594, 2766, 1809, 882, 13, 1446, 525, 279, 2681, 11, 323, 8450, 498, 525, 304, 2524, 13, 1416, 697, 2841, 653, 537, 8844, 311, 498, 11, 16652, 315, 279, 1809, 2339, 476, 6243, 315, 22707, 2524, 389, 279, 6366, 1231, 2138, 498, 311, 2664, 3705, 279, 3491, 624, 22, 13, 9192, 304, 697, 26482, 315, 61337, 13, 8713, 1052, 803, 1091, 220, 20, 3868, 429, 498, 614, 6342, 304, 279, 1537, 1378, 3951, 30, 8713, 1493, 3868, 1787, 83075, 320, 4803, 90678, 11, 4337, 315, 63652, 11, 476, 33719, 77801, 11843, 1096, 1410, 387, 264, 9958, 1841, 624, 23, 13, 2691, 705, 279, 2790, 4115, 6342, 817, 2003, 13, 1096, 5646, 882, 7391, 5290, 98944, 82, 323, 10099, 6803, 323, 24392, 3868, 304, 1931, 2272, 13, 23240, 4778, 705, 0, 1416, 419, 1372, 374, 916, 220, 17, 20, 11, 1221, 1052, 1231, 387, 264, 3491, 624, 24, 13, 6145, 429, 697, 6562, 2182, 498, 389, 264, 7304, 882, 3930, 369, 6366, 5619, 13, 2619, 525, 3457, 54069, 7468, 2500, 369, 4139, 429, 646, 1492, 448, 419, 13, 39451, 10265, 9777, 19926, 7806, 1225, 448, 697, 6562, 320, 71, 6577, 697, 3868, 8, 374, 458, 7373, 1616, 311, 29337, 15833, 8084, 624, 16, 15, 13, 7379, 2494, 770, 311, 653, 13, 1446, 1414, 279, 5114, 330, 2408, 7147, 18643, 768, 21215, 1096, 5114, 374, 2664, 1319, 81, 1475, 330, 2408, 7147, 18570, 2479, 21215, 476, 330, 2408, 7147, 1455, 329, 14132, 21215, 576, 1850, 1616, 311, 653, 419, 374, 311, 2225, 264, 8045, 315, 1008, 2513, 311, 653, 11, 448, 3800, 4192, 565, 22508, 271, 16, 13, 4504, 1246, 1657, 3868, 498, 1486, 323, 1246, 1293, 498, 525, 5619, 1105, 624, 17, 13, 19716, 279, 3491, 553, 9271, 4780, 476, 10164, 803, 882, 448, 279, 6174, 498, 614, 624, 18, 13, 14822, 1378, 1410, 387, 2588, 369, 3654, 1251, 13, 1416, 498, 646, 944, 11, 2548, 264, 11079, 476, 264, 2681, 13, 1416, 1052, 4436, 944, 825, 2500, 11, 653, 432, 389, 697, 1828, 624, 19, 13, 7379, 3868, 311, 653, 4889, 13, 7054, 448, 697, 4780, 624, 20, 13, 5994, 633, 264, 2311, 518, 279, 6733, 13, 4457, 3786, 624, 21, 13, 3155, 46523, 429, 1410, 1492, 697, 3971, 13, 12243, 46503, 448, 697, 4780, 624, 22, 13, 15565, 705, 448, 501, 2464, 3868, 3786, 323, 4717, 9314, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 21893, 52630, 448, 264, 3743, 30, 151645, 198, 151644, 77091, 198, 3882, 66939, 22111, 32364, 323, 23504, 11, 714, 432, 702, 311, 387, 2814, 304, 279, 1290, 1616, 13, 27357, 304, 279, 4969, 1616, 11, 279, 3743, 498, 1075, 2578, 1136, 39856, 1007, 323, 2581, 1401, 1182, 13, 8909, 678, 87242, 11, 2487, 4128, 32364, 374, 264, 2464, 1882, 11, 714, 1513, 1405, 12973, 432, 13, 38147, 398, 2309, 6133, 773, 429, 498, 646, 52630, 448, 697, 5030, 448, 12136, 11, 323, 1429, 22813, 11, 614, 2464, 448, 432, 382, 565, 2126, 1059, 311, 8205, 705, 311, 498, 271, 16, 13, 2126, 311, 1414, 1059, 13, 21149, 911, 1128, 1340, 13151, 323, 1059, 11772, 13, 20437, 1059, 421, 498, 2299, 537, 2704, 13, 45451, 1059, 11772, 8609, 498, 1477, 4185, 4910, 773, 429, 498, 614, 264, 2874, 311, 1490, 323, 3061, 311, 1059, 11, 892, 12434, 498, 825, 3019, 12128, 311, 21893, 87242, 448, 1059, 13, 1634, 498, 633, 311, 1414, 1059, 11, 387, 3093, 323, 2908, 349, 476, 1340, 2578, 537, 1077, 498, 633, 1753, 12128, 13, 5994, 6301, 13, 1416, 498, 4227, 705, 323, 2182, 697, 6773, 2163, 264, 3743, 2041, 14063, 1059, 1632, 476, 87242, 1156, 11, 1340, 2578, 633, 53121, 323, 1744, 498, 3129, 2238, 4637, 13, 2988, 66939, 26024, 916, 264, 4168, 315, 882, 1177, 1496, 421, 432, 374, 264, 2805, 4168, 315, 882, 1177, 374, 279, 1850, 1616, 311, 633, 264, 3743, 311, 728, 700, 448, 498, 624, 17, 13, 1198, 500, 3819, 1059, 13, 1198, 500, 12558, 2968, 498, 279, 5726, 311, 1077, 1059, 8205, 705, 311, 498, 773, 429, 498, 646, 633, 3265, 311, 1059, 21893, 13, 3197, 498, 3061, 311, 1059, 11, 2968, 1059, 264, 31141, 429, 10362, 22011, 13, 18214, 11, 1340, 2578, 1744, 498, 3129, 4460, 311, 330, 5804, 1, 1059, 13, 20065, 1075, 71639, 438, 1293, 438, 432, 3171, 1405, 5112, 1075, 264, 3735, 5239, 1555, 13, 7297, 69, 7090, 71639, 2578, 1281, 1059, 9311, 1495, 323, 537, 1366, 311, 3061, 311, 498, 13, 20678, 71639, 429, 525, 4911, 311, 1059, 323, 387, 3151, 13, 1752, 2867, 11, 31141, 1059, 18838, 24230, 11, 3457, 377, 642, 476, 6414, 13, 19881, 429, 264, 2696, 315, 7571, 1177, 1496, 279, 5020, 6174, 1177, 525, 1602, 61845, 13, 3197, 498, 1430, 311, 31141, 1059, 11, 1340, 2578, 537, 1896, 498, 13919, 1576, 1340, 15482, 498, 525, 57034, 13, 2055, 11, 90047, 1059, 429, 498, 3129, 537, 13, 4320, 1405, 4184, 1059, 476, 2968, 1059, 264, 1182, 71, 6465, 31141, 13, 1036, 2610, 3129, 5020, 369, 264, 48117, 854, 374, 537, 264, 31141, 13, 14695, 1281, 1059, 279, 1633, 315, 264, 21646, 11, 323, 421, 1251, 1977, 2494, 46001, 1177, 1496, 421, 807, 2299, 70363, 1177, 3291, 1105, 311, 2936, 13, 5005, 11, 6157, 33422, 518, 1059, 13, 1416, 1059, 6414, 633, 11243, 476, 421, 1340, 42532, 10078, 11, 1221, 1340, 374, 24404, 323, 42688, 624, 18, 13, 7405, 7912, 3645, 979, 498, 6468, 311, 1059, 13, 1084, 537, 1172, 15354, 1059, 1414, 429, 498, 3129, 14289, 11, 714, 432, 1083, 6696, 1059, 279, 8266, 429, 1340, 374, 5802, 697, 2030, 344, 4490, 6529, 13, 27829, 3645, 11450, 23504, 323, 32364, 13, 9735, 311, 3331, 1059, 35396, 369, 264, 1393, 2041, 14719, 432, 1177, 1496, 421, 1052, 525, 76449, 2163, 13, 38971, 1105, 13, 2932, 686, 387, 24404, 429, 498, 3207, 1405, 1077, 279, 26915, 2163, 498, 63817, 498, 504, 1059, 13, 5005, 11, 1340, 4700, 387, 803, 4363, 311, 1787, 705, 311, 498, 624, 19, 13, 91846, 292, 1059, 2487, 4128, 13, 1416, 1340, 92836, 4637, 11, 498, 15651, 4637, 13, 1416, 1340, 7354, 311, 279, 3108, 11, 498, 3019, 311, 279, 3108, 13, 91846, 16272, 1059, 2487, 4128, 374, 264, 26447, 1616, 315, 20194, 1059, 1414, 429, 498, 525, 1119, 1059, 13, 7418, 421, 1340, 374, 69803, 40647, 315, 419, 11, 1186, 443, 70788, 1340, 1231, 1191, 311, 3735, 705, 279, 8286, 13, 10357, 1059, 2487, 4128, 438, 1632, 311, 1490, 421, 1340, 26905, 1211, 498, 13, 91846, 292, 884, 374, 264, 1841, 429, 1340, 374, 23867, 705, 311, 498, 1496, 421, 1340, 374, 537, 5008, 5527, 369, 52630, 266, 1223, 30587, 1101, 3602, 624, 20, 13, 20678, 1059, 6529, 304, 264, 13428, 13, 17688, 7571, 646, 2666, 5558, 979, 807, 525, 11259, 304, 264, 3460, 13428, 476, 1496, 421, 1340, 374, 11259, 23183, 4780, 1177, 5310, 421, 1059, 4780, 525, 18879, 13, 2932, 2578, 1744, 429, 1045, 315, 1059, 4780, 633, 803, 6529, 1091, 1340, 1558, 1576, 807, 525, 4410, 49335, 476, 803, 36698, 11, 892, 3363, 432, 646, 387, 5000, 369, 1059, 311, 2666, 1075, 1340, 374, 1660, 3884, 323, 6617, 13, 2055, 11, 1281, 1059, 2666, 1075, 1340, 374, 11259, 700, 504, 279, 3800, 553, 7086, 1059, 803, 6529, 13, 3197, 1340, 21191, 11, 2291, 3281, 6529, 13, 7405, 264, 1459, 311, 3061, 311, 1059, 5961, 4518, 315, 12094, 311, 3800, 13, 3197, 279, 1874, 374, 3259, 264, 5480, 911, 1380, 311, 728, 476, 1128, 311, 653, 11, 2548, 1059, 1128, 1340, 15482, 279, 1874, 1265, 653, 624, 21, 13, 7143, 1059, 1101, 311, 3061, 13, 7405, 2704, 429, 1340, 8788, 429, 498, 2167, 1366, 311, 633, 311, 1414, 1059, 2664, 13, 32291, 1059, 1101, 311, 6236, 1177, 5310, 2474, 67994, 374, 3041, 803, 5411, 1177, 15354, 1059, 1414, 429, 498, 2167, 525, 8014, 304, 3709, 311, 1414, 1059, 2664, 13, 12853, 911, 1059, 11772, 476, 1482, 4357, 13, 2521, 11, 1101, 2968, 1059, 264, 23811, 323, 264, 2805, 6236, 311, 1077, 1059, 1414, 498, 3129, 7274, 911, 1059, 13, 1446, 1513, 1405, 1184, 311, 387, 1045, 14226, 2319, 315, 6133, 429, 3171, 1405, 2167, 3000, 13, 4599, 387, 1036, 8252, 10040, 22, 13, 39124, 1059, 2494, 13, 12064, 3598, 13, 1084, 646, 387, 2494, 2613, 1075, 264, 39359, 1509, 429, 498, 1490, 1059, 12182, 3545, 13, 7405, 2704, 429, 498, 2525, 1007, 1075, 458, 9282, 517, 1697, 323, 537, 264, 50840, 357, 36808, 879, 13151, 311, 3736, 1059, 13, 4320, 944, 387, 2182, 1007, 421, 1340, 40616, 697, 8189, 13, 2932, 1231, 537, 1366, 311, 7069, 4193, 2494, 504, 498, 13, 2932, 3171, 1405, 1366, 311, 2666, 438, 421, 1340, 374, 92898, 311, 498, 1576, 498, 6551, 1059, 2494, 13, 1416, 498, 2548, 264, 5625, 315, 3039, 11, 1340, 1231, 9583, 2968, 304, 323, 4193, 432, 624, 23, 13, 2918, 1059, 311, 2548, 498, 311, 3367, 498, 14696, 13, 1416, 1340, 32908, 311, 3367, 498, 11, 1513, 944, 3980, 389, 894, 1008, 7571, 476, 3061, 911, 14878, 429, 1035, 1281, 1059, 1744, 498, 7629, 944, 8014, 313, 7241, 498, 1414, 1340, 13151, 1846, 14878, 13, 1446, 1513, 1405, 1366, 1059, 311, 1744, 498, 1172, 1075, 1059, 438, 264, 4238, 13, 1446, 1366, 311, 1281, 1059, 2666, 3281, 11, 537, 1075, 1101, 2441, 4462, 315, 697, 1874, 1406, 565, 50013, 585, 311, 5796, 1059, 271, 16, 13, 19338, 1059, 21381, 2348, 18316, 13, 38147, 398, 3271, 697, 21381, 8841, 10837, 3080, 807, 5796, 33404, 13, 7405, 2704, 429, 498, 5796, 1059, 21381, 29273, 323, 1221, 39509, 11, 773, 1340, 3171, 944, 1744, 429, 498, 525, 27575, 287, 1059, 2472, 1576, 498, 1184, 803, 3054, 369, 697, 14201, 13, 2988, 66939, 553, 48916, 5796, 8609, 1936, 32364, 1576, 432, 11450, 23504, 13, 14994, 28627, 1588, 323, 1052, 10901, 1059, 19211, 803, 13, 1988, 6099, 311, 2506, 697, 6414, 1787, 369, 26750, 17289, 13, 1416, 432, 3171, 1405, 1401, 1075, 1340, 748, 21413, 432, 11, 2936, 624, 17, 13, 19338, 1059, 1424, 476, 6773, 979, 498, 12550, 13, 24917, 2494, 15173, 11, 476, 12550, 518, 1059, 31420, 323, 1221, 12550, 13, 5976, 498, 3129, 31581, 11, 29273, 5796, 279, 1909, 315, 1059, 1424, 476, 90565, 438, 421, 311, 1977, 1036, 498, 21646, 3667, 1987, 1096, 1265, 1401, 16334, 323, 5810, 13, 1084, 1265, 1401, 438, 374, 421, 498, 653, 419, 311, 5019, 979, 498, 12550, 13, 1416, 498, 525, 11699, 1495, 979, 419, 8573, 11, 1896, 419, 6638, 311, 64614, 14983, 697, 10496, 12128, 311, 10837, 624, 18, 13, 350, 1942, 1059, 6869, 4815, 1059, 2430, 13, 1096, 4278, 1850, 421, 1340, 702, 264, 41489, 315, 6869, 700, 315, 1992, 476, 264, 41489, 20704, 304, 1059, 3579, 13, 479, 4402, 11, 259, 1942, 279, 6869, 4815, 1059, 2430, 773, 429, 432, 374, 700, 315, 1059, 3579, 624, 19, 13, 10224, 697, 1424, 3265, 311, 10837, 13, 3197, 498, 525, 11699, 1790, 311, 1059, 518, 264, 1965, 11, 2677, 1992, 697, 1424, 773, 429, 432, 374, 2167, 3265, 311, 10837, 13, 362, 14317, 3084, 10747, 476, 264, 2632, 803, 374, 264, 1661, 6010, 13, 2014, 1896, 432, 264, 3019, 4623, 11, 1992, 697, 6078, 389, 10837, 369, 1101, 264, 2086, 438, 421, 432, 374, 48916, 624, 20, 13, 7054, 4478, 78612, 13, 1416, 498, 2299, 11699, 518, 264, 1965, 3446, 66819, 3941, 504, 1059, 11, 29273, 2182, 697, 7541, 389, 1909, 315, 10837, 13, 1084, 1231, 2803, 1075, 5619, 4478, 78612, 374, 264, 2632, 93171, 11, 714, 432, 374, 264, 1616, 311, 633, 264, 3743, 748, 6529, 304, 264, 56069, 11566, 1393, 1083, 20194, 1059, 1414, 429, 498, 3129, 8014, 13, 1416, 1340, 5868, 1212, 279, 1965, 323, 42532, 11, 1221, 1340, 374, 6247, 429, 279, 1697, 29273, 39194, 1059, 374, 498, 4192, 565, 2988, 2106, 448, 1059, 42561, 398, 271, 16, 13, 472, 768, 1059, 13, 1084, 748, 264, 2874, 311, 5796, 1059, 304, 264, 2477, 26028, 928, 1616, 13, 1084, 748, 1083, 264, 22745, 2874, 311, 5796, 1059, 2041, 75695, 2238, 1320, 16531, 5310, 421, 498, 40786, 1059, 448, 264, 29784, 13, 1416, 498, 653, 419, 1449, 882, 498, 1490, 1059, 11, 1340, 686, 3161, 311, 3535, 429, 305, 35268, 374, 279, 1616, 429, 498, 40786, 1059, 38437, 1410, 10767, 633, 264, 29784, 1449, 882, 498, 1490, 1059, 13, 1416, 498, 1366, 311, 1896, 432, 264, 3019, 4623, 11, 29784, 1059, 803, 13814, 13, 20678, 1059, 79242, 369, 902, 2874, 421, 498, 1414, 1059, 14138, 1632, 13, 3085, 882, 11, 419, 1231, 88590, 323, 1340, 2578, 1191, 7086, 498, 79242, 13, 4354, 11, 1083, 2506, 304, 3971, 429, 1045, 1251, 1101, 1513, 944, 1075, 305, 35268, 13, 2055, 11, 432, 374, 2989, 311, 2291, 6529, 311, 1059, 2487, 4128, 323, 27800, 23393, 13, 1416, 1340, 3171, 944, 1075, 432, 11, 2936, 26, 323, 315, 3308, 11, 421, 1340, 10742, 498, 311, 2936, 11, 498, 1265, 2936, 7069, 624, 17, 13, 7054, 448, 1059, 6869, 13, 4329, 7571, 1075, 419, 13, 25806, 389, 279, 6869, 518, 279, 308, 2027, 315, 279, 12975, 1576, 5619, 448, 1059, 6869, 304, 419, 3082, 686, 4658, 2968, 1059, 521, 3305, 1177, 304, 264, 1661, 1616, 13, 1416, 1340, 374, 10655, 448, 498, 11, 1486, 448, 279, 6869, 3265, 311, 1059, 63200, 476, 20781, 1056, 13, 320, 3430, 48050, 3498, 6138, 5542, 1052, 421, 279, 3743, 374, 2058, 10655, 11, 1896, 432, 264, 2632, 4623, 13, 3085, 279, 1182, 315, 697, 1424, 11, 29273, 4484, 279, 6869, 20704, 304, 4065, 315, 1059, 26906, 4815, 1059, 26906, 13, 320, 5501, 1513, 944, 653, 419, 421, 432, 5868, 1075, 279, 3743, 6439, 264, 1293, 882, 311, 1707, 1059, 6869, 13, 7418, 421, 498, 525, 1101, 4460, 311, 52630, 448, 1059, 11, 1340, 686, 633, 12796, 518, 498, 369, 91171, 1059, 6869, 6138, 1416, 678, 374, 1632, 11, 1191, 311, 10273, 1059, 12975, 1075, 498, 3129, 7086, 1059, 264, 12975, 6245, 624, 18, 13, 10224, 697, 6078, 2163, 1059, 28042, 504, 4815, 13, 1416, 1340, 13151, 498, 11, 1340, 3278, 1429, 4363, 15651, 1182, 389, 498, 13, 19338, 1059, 29273, 773, 498, 1513, 944, 1191, 273, 1059, 13, 1416, 498, 1378, 633, 2167, 10655, 1340, 2578, 1496, 1077, 498, 14983, 697, 1424, 1495, 264, 2632, 4722, 13, 9646, 1340, 748, 10655, 448, 498, 10687, 697, 6078, 389, 1059, 28042, 11, 11633, 1059, 323, 18806, 1059, 2163, 13, 5005, 11, 1340, 4700, 387, 12880, 498, 13, 62106, 304, 323, 34855, 2494, 304, 1059, 2430, 11, 476, 1101, 1977, 432, 39128, 13, 1446, 4700, 387, 2952, 311, 3291, 421, 1340, 14915, 432, 553, 279, 7493, 389, 1059, 3579, 13, 320, 33, 54069, 25, 4329, 7571, 525, 9016, 9341, 1672, 323, 8376, 311, 4359, 3850, 6613, 31132, 278, 476, 22583, 3408, 979, 4325, 28627, 862, 10450, 1671, 4292, 19, 13, 22950, 1059, 1486, 3641, 13, 3197, 498, 2299, 11435, 1790, 311, 1059, 389, 264, 41090, 476, 1815, 11, 29273, 4484, 1059, 1007, 279, 1815, 13, 2932, 3278, 4658, 4484, 498, 1182, 11, 892, 686, 1191, 1045, 56069, 87242, 13, 9211, 1496, 1682, 64823, 17461, 1817, 1008, 374, 264, 1616, 315, 87242, 13, 320, 8002, 944, 653, 419, 389, 264, 13028, 5636, 3498, 13, 34172, 2578, 633, 12898, 28175, 20, 13, 10224, 697, 1968, 304, 1059, 23410, 13, 1416, 498, 2299, 2669, 4780, 323, 498, 2299, 10099, 264, 5700, 11, 5290, 11, 476, 1101, 7404, 448, 4780, 11, 728, 916, 323, 10246, 697, 1968, 304, 1059, 23410, 13, 6771, 1059, 1486, 448, 697, 6869, 13, 1416, 1340, 40702, 498, 1007, 11, 1101, 12550, 13, 1096, 1172, 4278, 1632, 421, 498, 3982, 52630, 291, 448, 419, 3743, 1657, 3039, 1573, 624, 21, 13, 350, 25606, 1059, 13, 7684, 5671, 369, 9341, 2718, 525, 1212, 1059, 55149, 476, 279, 11067, 476, 1059, 22350, 13, 1416, 1340, 13151, 498, 11, 1340, 3278, 9341, 273, 498, 1182, 1177, 4658, 1393, 36063, 476, 31581, 13, 10357, 1059, 17289, 3498, 11, 421, 1340, 3171, 944, 1075, 432, 476, 421, 1340, 33045, 3123, 11, 2936, 13, 1446, 1513, 1405, 1366, 311, 37192, 1059, 323, 37239, 894, 16963, 315, 3709, 3265, 311, 1059, 1549, 13, 1416, 1340, 33045, 3123, 11, 41128, 1182, 311, 279, 6961, 30587, 429, 1340, 4977, 311, 387, 10655, 448, 323, 653, 429, 369, 264, 1393, 624, 22, 13, 2823, 48050, 13, 11471, 6529, 311, 1059, 2487, 4128, 323, 4113, 429, 1340, 2727, 13, 1446, 1513, 944, 1366, 311, 916, 9520, 1059, 22711, 13, 506, 1621, 30587, 1265, 387, 1585, 66729, 11, 323, 1045, 1251, 525, 28113, 448, 584, 18689, 315, 36705, 476, 1660, 23939, 518, 678, 13, 21455, 374, 2155, 11, 773, 432, 374, 1602, 2989, 311, 2291, 6529, 311, 1059, 35770, 323, 2477, 98056, 13313, 55916, 13, 1416, 1340, 2727, 11, 330, 9495, 1, 518, 894, 1459, 11, 1221, 2936, 13, 1416, 1340, 5868, 28113, 11, 2936, 13, 2932, 3278, 44393, 498, 438, 82531, 1059, 3550, 323, 10767, 86170, 1059, 13, 24233, 525, 18879, 476, 48050, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 387, 16645, 2337, 279, 24421, 30, 151645, 198, 151644, 77091, 198, 565, 19207, 13257, 7321, 271, 16, 13, 9680, 369, 6084, 13, 3776, 315, 279, 35964, 315, 279, 13257, 3200, 374, 429, 498, 9700, 2238, 1753, 323, 1513, 944, 8039, 3322, 882, 369, 6084, 323, 10158, 13, 4220, 220, 17, 12378, 646, 3931, 697, 8464, 2188, 304, 4279, 323, 1281, 432, 8661, 311, 4717, 389, 3383, 2337, 697, 13257, 12973, 13, 1084, 374, 4185, 311, 7949, 697, 10158, 882, 10078, 2337, 279, 24421, 11, 714, 1430, 311, 633, 911, 220, 18, 15, 4420, 315, 5099, 20052, 7968, 40613, 10158, 220, 20, 3039, 817, 2003, 13, 4320, 944, 537, 3931, 1495, 389, 697, 6084, 26, 9213, 369, 220, 23, 4115, 817, 3729, 13, 94975, 697, 12904, 22881, 13, 10328, 432, 1231, 2803, 1075, 264, 10923, 1388, 11, 432, 646, 3520, 5358, 498, 504, 3709, 5538, 6084, 13, 14215, 1283, 264, 2421, 20987, 311, 5648, 13188, 697, 4802, 279, 1790, 1899, 624, 17, 13, 2573, 264, 8039, 220, 17, 3951, 1573, 279, 24421, 13, 11778, 1119, 2692, 1246, 1753, 498, 646, 9946, 323, 1221, 6718, 279, 3220, 1948, 7411, 11, 77041, 49212, 11, 20609, 11, 47579, 11, 17438, 11, 3607, 323, 1496, 264, 4614, 13, 9680, 458, 916, 424, 315, 220, 16, 15, 3266, 304, 697, 8039, 13, 1096, 3363, 678, 315, 697, 3880, 1265, 912, 705, 311, 220, 24, 15, 3266, 315, 279, 3220, 498, 614, 369, 279, 24421, 624, 18, 13, 28408, 1495, 448, 697, 2997, 220, 21, 5555, 1573, 279, 13257, 323, 2548, 369, 1492, 13, 1416, 498, 2948, 2524, 11, 419, 1231, 387, 2588, 311, 653, 26, 4764, 11, 432, 686, 1896, 264, 2795, 1007, 697, 26906, 323, 1281, 5019, 2666, 1075, 279, 24421, 1513, 944, 2525, 3786, 77725, 624, 19, 13, 65279, 279, 13038, 315, 3730, 264, 3347, 2371, 2085, 7086, 10074, 476, 264, 22846, 2390, 448, 697, 2997, 13, 1416, 697, 8039, 374, 10296, 11, 1221, 7086, 220, 16, 3042, 476, 11833, 220, 16, 2409, 3042, 369, 279, 4361, 2997, 2578, 387, 2664, 13, 18720, 614, 1083, 6839, 429, 22846, 7079, 646, 1492, 697, 14269, 2820, 2337, 45783, 3039, 624, 20, 13, 5893, 5821, 6649, 220, 18, 476, 803, 3951, 1573, 279, 24421, 13, 28397, 7576, 8376, 311, 728, 705, 1290, 1573, 279, 24421, 13, 7405, 2704, 498, 614, 4722, 5821, 7049, 323, 2686, 8464, 5815, 448, 5821, 421, 498, 323, 697, 2841, 476, 6562, 614, 862, 6649, 24692, 700, 304, 11912, 624, 21, 13, 5443, 264, 13168, 429, 5019, 646, 1490, 11, 2860, 476, 304, 279, 3753, 13, 10771, 678, 41256, 11, 57882, 11, 2997, 21461, 323, 9079, 389, 432, 773, 429, 5019, 646, 8300, 1182, 311, 432, 916, 279, 2254, 315, 6652, 4192, 565, 31669, 8061, 7321, 271, 16, 13, 23512, 11919, 59438, 4402, 4751, 1091, 304, 10010, 13, 576, 2701, 525, 1661, 10414, 429, 1281, 13257, 11919, 803, 7373, 323, 3974, 510, 197, 9, 11292, 2513, 6814, 279, 1042, 11, 15356, 498, 1490, 2494, 429, 374, 10507, 369, 4325, 13, 1446, 3410, 803, 42666, 20609, 421, 807, 525, 27968, 291, 311, 279, 1697, 11, 4751, 1091, 10788, 1422, 80949, 279, 2254, 1573, 13, 9129, 697, 20609, 304, 220, 16, 1992, 304, 697, 3753, 323, 2525, 1182, 311, 697, 8189, 25037, 1992, 220, 21, 5555, 1573, 41302, 3101, 1466, 476, 10074, 13, 11778, 264, 2421, 4115, 1007, 975, 2337, 5099, 29509, 3055, 279, 13257, 6625, 1191, 13, 1446, 686, 3116, 279, 12973, 323, 614, 264, 803, 19300, 11919, 3139, 13, 14028, 304, 2613, 59031, 2576, 2860, 13, 24515, 2860, 369, 4115, 646, 387, 264, 12291, 315, 882, 13, 13655, 264, 1140, 304, 697, 52001, 315, 2513, 498, 525, 3330, 369, 11, 323, 912, 311, 432, 13, 13824, 3080, 498, 614, 220, 17, 476, 220, 18, 2513, 498, 1414, 498, 1366, 311, 2711, 369, 323, 653, 697, 2355, 11919, 13, 5264, 220, 18, 6929, 22398, 323, 9429, 7576, 389, 8176, 11, 6065, 983, 377, 905, 323, 264, 5085, 28964, 2150, 13, 4320, 944, 387, 16575, 311, 2968, 8189, 34437, 13, 8999, 10533, 11, 6245, 43214, 1087, 11, 5700, 43766, 323, 803, 3410, 8189, 34437, 13, 21149, 315, 2494, 429, 697, 4780, 476, 2997, 686, 1477, 9428, 15172, 916, 264, 1985, 498, 525, 42903, 807, 686, 1075, 624, 17, 13, 2573, 705, 264, 41195, 8056, 389, 264, 1965, 304, 3309, 6702, 476, 4124, 6652, 13, 42187, 20609, 438, 5135, 438, 498, 4446, 1105, 2114, 13, 1096, 686, 4057, 279, 6012, 429, 2841, 686, 1477, 862, 20609, 323, 432, 686, 2138, 498, 311, 633, 2176, 11919, 323, 41195, 2814, 518, 264, 6301, 323, 24020, 17857, 624, 18, 13, 70615, 311, 6248, 697, 11919, 323, 41195, 553, 6652, 220, 16, 20, 339, 13, 23512, 697, 882, 27079, 11, 773, 429, 498, 646, 4669, 279, 24421, 323, 387, 5527, 369, 894, 1537, 23498, 4344, 4192, 565, 31669, 4296, 7321, 271, 16, 13, 9590, 697, 9780, 504, 1909, 311, 5622, 1573, 19405, 13257, 27815, 476, 17233, 13, 9735, 311, 653, 419, 304, 3309, 6702, 476, 4124, 6652, 13, 45902, 9669, 2513, 429, 24398, 14709, 686, 1184, 11, 1741, 438, 10799, 323, 61133, 11, 304, 458, 4135, 311, 5545, 85941, 323, 1855, 264, 27815, 85941, 624, 17, 13, 12648, 705, 389, 27815, 16720, 4124, 304, 279, 3200, 13, 11292, 19828, 11, 13163, 323, 48559, 518, 30112, 10533, 773, 429, 498, 1513, 944, 614, 311, 1281, 3309, 3729, 8473, 311, 279, 48213, 13, 11292, 1045, 855, 26877, 4349, 39612, 82, 323, 8279, 311, 2506, 2163, 304, 1142, 498, 1513, 944, 614, 882, 311, 653, 4297, 504, 18778, 624, 18, 13, 52074, 6814, 279, 13257, 3200, 13, 12023, 700, 697, 49585, 11, 323, 1221, 1855, 264, 17233, 311, 653, 1140, 429, 6147, 498, 311, 1281, 323, 29930, 3589, 1449, 2003, 13, 1752, 3110, 11, 22544, 220, 16, 10226, 11, 1741, 438, 8279, 476, 31556, 11, 323, 10549, 220, 16, 3108, 12000, 304, 17975, 13, 17757, 323, 2383, 279, 25779, 1602, 1632, 1573, 498, 5611, 1105, 389, 264, 49585, 13, 1752, 3110, 11, 330, 58422, 13706, 20187, 13, 663, 672, 323, 22544, 518, 220, 18, 20, 15, 369, 220, 18, 15, 4420, 10040, 19, 13, 9680, 264, 13257, 3338, 85376, 4614, 4518, 315, 27815, 678, 315, 279, 3607, 13, 1096, 374, 264, 2244, 1616, 311, 4722, 697, 8039, 323, 614, 2464, 13, 26530, 1251, 311, 4446, 71413, 11, 3108, 25779, 476, 1351, 812, 311, 2997, 73313, 438, 1632, 26, 807, 3535, 697, 9780, 374, 1602, 2480, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 3931, 12499, 36957, 30, 151645, 198, 151644, 77091, 198, 36607, 36957, 525, 264, 29144, 10555, 311, 24649, 11, 714, 807, 1231, 537, 2677, 2525, 304, 279, 4396, 3084, 498, 1184, 13, 5976, 498, 646, 2677, 1896, 279, 36957, 1119, 264, 22514, 3553, 311, 614, 1105, 3931, 553, 264, 6584, 11, 498, 646, 1083, 3931, 36957, 518, 2114, 448, 264, 61817, 61605, 476, 458, 17921, 5485, 13, 13235, 498, 3931, 279, 36957, 11, 387, 2704, 311, 6629, 697, 4038, 3084, 311, 1414, 1246, 1293, 279, 30368, 82, 1184, 311, 387, 13, 3197, 498, 3129, 8060, 11, 697, 36957, 686, 387, 279, 4727, 1379, 2219, 565, 7379, 279, 6169, 17921, 3084, 271, 16, 13, 22749, 264, 16971, 6629, 700, 311, 697, 3108, 448, 697, 2477, 1737, 7970, 517, 1424, 13, 78821, 279, 16971, 6629, 304, 697, 73898, 7970, 517, 1424, 773, 279, 16971, 3501, 8841, 697, 32171, 13, 48156, 13036, 697, 73898, 7970, 517, 6773, 700, 311, 697, 3108, 773, 432, 748, 15279, 311, 279, 4910, 311, 37453, 9963, 264, 15273, 13, 7405, 2704, 498, 646, 6707, 11633, 323, 6815, 279, 16971, 8841, 498, 11, 323, 312, 3487, 279, 16971, 6629, 304, 697, 1424, 421, 498, 646, 1405, 13, 34006, 1667, 264, 13055, 16971, 6629, 2474, 432, 1231, 2968, 498, 458, 49404, 18662, 624, 17, 13, 31828, 279, 16971, 311, 279, 9131, 315, 697, 10780, 448, 697, 24456, 1424, 13, 36194, 279, 835, 315, 279, 16971, 448, 697, 24456, 1424, 323, 13970, 6815, 432, 700, 13, 13655, 22266, 279, 16971, 3080, 279, 835, 28627, 279, 9131, 315, 697, 10780, 389, 279, 24456, 3108, 315, 697, 2487, 13, 1752, 3110, 11, 6815, 432, 311, 279, 1290, 9131, 315, 697, 10780, 421, 498, 3129, 1290, 36140, 13, 9646, 279, 16971, 6629, 374, 7225, 11577, 11, 1401, 518, 279, 18662, 13, 31828, 287, 279, 16971, 6629, 311, 279, 9131, 315, 697, 10780, 1643, 23156, 13330, 264, 15273, 917, 773, 498, 646, 633, 458, 13382, 18662, 369, 697, 4038, 3084, 836, 573, 25, 10224, 697, 73898, 7970, 517, 24050, 389, 279, 16971, 6629, 1573, 13295, 279, 18662, 773, 432, 3171, 1405, 72200, 13, 18214, 11, 498, 4700, 614, 311, 6629, 1549, 624, 18, 13, 2691, 220, 17, 304, 320, 20, 13, 16, 9961, 8, 311, 697, 18662, 311, 1477, 279, 17921, 3084, 13, 1416, 697, 17921, 374, 2238, 2805, 11, 432, 1410, 20072, 697, 15273, 476, 5240, 279, 17921, 311, 6102, 74198, 13, 11778, 279, 4038, 3084, 18662, 498, 1101, 1730, 323, 2924, 458, 4960, 220, 17, 14924, 320, 20, 13, 16, 9961, 8, 311, 5978, 429, 279, 36957, 525, 1293, 3322, 369, 697, 15273, 13, 1752, 3110, 11, 421, 697, 4038, 3084, 18662, 572, 220, 17, 24, 14924, 320, 22, 19, 9961, 701, 1221, 279, 3084, 315, 697, 17921, 1265, 387, 220, 18, 16, 14924, 320, 22, 24, 9961, 4292, 19, 13, 23200, 697, 18662, 8630, 279, 17921, 30368, 13, 5145, 697, 28990, 16971, 518, 279, 1182, 315, 279, 17921, 30368, 323, 13036, 279, 16971, 8841, 279, 4065, 13, 3197, 498, 5545, 279, 18662, 498, 1730, 11, 990, 264, 11134, 311, 4038, 264, 1555, 476, 12756, 389, 279, 17921, 30368, 773, 498, 1414, 1380, 311, 3931, 13, 49720, 279, 17921, 220, 16, 23, 15, 12348, 323, 1281, 2441, 1868, 304, 279, 1852, 1992, 311, 990, 438, 5785, 13, 4320, 1405, 2924, 279, 17921, 748, 902, 377, 304, 279, 18662, 2474, 902, 377, 12282, 13289, 1948, 36957, 13, 5145, 518, 279, 2331, 315, 279, 17921, 30368, 4518, 4192, 565, 5443, 264, 61817, 61605, 271, 16, 13, 92818, 264, 61817, 61605, 58888, 916, 279, 6821, 315, 279, 1965, 13, 362, 61817, 61605, 374, 264, 64949, 84260, 1749, 429, 44758, 6157, 311, 3931, 1526, 7236, 13, 5443, 264, 61817, 61605, 448, 264, 26931, 34772, 577, 24838, 773, 432, 646, 6707, 3931, 1526, 279, 12499, 36957, 2041, 409, 54757, 1105, 13, 43924, 279, 61817, 61605, 58888, 773, 279, 24838, 374, 12140, 323, 58341, 916, 279, 6821, 315, 697, 975, 7329, 13, 5443, 264, 356, 30617, 1121, 311, 9767, 279, 5392, 311, 697, 975, 7329, 773, 432, 3171, 1405, 6407, 2163, 1393, 498, 3129, 1667, 432, 13, 1446, 646, 3695, 264, 61817, 61605, 504, 697, 2205, 11773, 3553, 836, 573, 25, 7405, 2704, 498, 646, 6707, 2615, 279, 2355, 3398, 389, 279, 5392, 773, 498, 646, 2484, 432, 389, 323, 1007, 979, 498, 1184, 432, 624, 17, 13, 12380, 279, 37500, 315, 264, 8061, 28202, 4815, 279, 61817, 24838, 13, 62425, 12499, 36957, 11450, 15797, 429, 646, 5240, 65410, 421, 498, 36297, 432, 304, 11, 773, 432, 748, 29589, 311, 28202, 432, 7069, 311, 5358, 432, 504, 30035, 13, 2573, 279, 835, 315, 279, 37500, 389, 697, 975, 7329, 773, 432, 748, 5961, 4815, 279, 61817, 61605, 748, 24838, 13, 13015, 279, 1008, 835, 315, 279, 37500, 311, 279, 22881, 2635, 389, 697, 28202, 13, 1446, 646, 1083, 990, 697, 5792, 28202, 421, 498, 1513, 1405, 614, 264, 8061, 28202, 2500, 624, 18, 13, 10224, 389, 7149, 28147, 323, 264, 3579, 6911, 1573, 13054, 279, 12645, 389, 13, 21487, 15797, 646, 5240, 65410, 421, 432, 5221, 304, 697, 6414, 476, 44174, 11, 773, 432, 748, 2989, 311, 4717, 2617, 1393, 498, 975, 13, 10224, 389, 7149, 28147, 429, 3421, 697, 6414, 6587, 11, 323, 264, 3579, 6911, 429, 26178, 697, 19142, 323, 10780, 13, 9646, 498, 2182, 389, 697, 7149, 7096, 11, 498, 646, 1191, 279, 61817, 5392, 323, 279, 28202, 13, 7418, 3498, 498, 614, 264, 28202, 39780, 1429, 315, 279, 15797, 11, 1052, 2058, 1231, 387, 18730, 19057, 2163, 624, 19, 13, 19649, 279, 17921, 3156, 279, 1868, 498, 1865, 13, 9646, 697, 61817, 5392, 374, 37860, 518, 2480, 4628, 11, 15516, 8474, 279, 17921, 773, 279, 24838, 5128, 705, 448, 279, 15423, 498, 1865, 6788, 13, 22950, 279, 30368, 29273, 2348, 279, 24838, 773, 432, 15104, 1119, 279, 12499, 13, 15003, 17461, 279, 17921, 1119, 279, 24838, 3080, 432, 15104, 6587, 1526, 279, 1008, 3108, 13, 1416, 279, 24838, 702, 16829, 14376, 279, 17921, 7678, 1526, 11, 1430, 41396, 279, 17921, 1393, 498, 3331, 432, 2348, 279, 24838, 311, 1281, 432, 8661, 4192, 565, 19649, 30368, 448, 458, 17921, 5485, 271, 16, 13, 48384, 264, 8061, 28202, 37500, 311, 279, 2635, 389, 279, 1182, 315, 458, 17921, 5485, 13, 8999, 17921, 5485, 82, 614, 264, 2635, 389, 279, 1182, 1380, 498, 646, 15498, 264, 28202, 37500, 311, 6530, 15797, 13, 22950, 279, 835, 315, 264, 8061, 28202, 37500, 1119, 279, 15797, 4426, 2635, 389, 279, 17921, 5485, 3080, 432, 748, 26430, 304, 1992, 13, 48384, 279, 1008, 835, 315, 279, 37500, 311, 279, 22881, 2635, 389, 697, 28202, 13, 1446, 646, 3695, 17921, 5485, 82, 504, 22514, 8149, 10533, 476, 498, 646, 1973, 1105, 2860, 13, 33712, 5485, 82, 5990, 2783, 2163, 400, 16, 18, 15, 19551, 13, 1446, 646, 990, 697, 5792, 28202, 421, 498, 1513, 1405, 614, 2615, 311, 264, 8061, 28202, 836, 573, 25, 1416, 697, 17921, 5485, 3171, 1405, 614, 264, 2635, 369, 264, 28202, 37500, 11, 1221, 738, 279, 37500, 438, 3265, 311, 279, 24838, 438, 498, 646, 624, 17, 13, 41062, 7149, 28147, 323, 264, 3579, 6911, 1393, 498, 3129, 14376, 36957, 13, 21487, 36957, 1855, 12499, 23788, 15797, 979, 498, 3931, 1105, 11, 892, 646, 387, 83977, 421, 498, 59437, 1574, 432, 476, 421, 432, 5221, 304, 697, 6414, 13, 41062, 7149, 28147, 429, 3421, 697, 6414, 6587, 323, 2182, 389, 264, 3579, 6911, 311, 6016, 697, 10780, 323, 19142, 13, 9646, 498, 614, 279, 3579, 6911, 323, 7149, 28147, 389, 11, 498, 646, 2484, 389, 697, 12645, 624, 18, 13, 12380, 279, 17921, 389, 279, 5485, 773, 279, 1182, 23011, 4766, 315, 279, 50454, 389, 279, 1824, 13, 4615, 17921, 5485, 686, 614, 264, 1824, 448, 264, 50454, 389, 432, 773, 697, 17921, 3171, 1405, 6502, 2163, 1393, 498, 3129, 14376, 432, 13, 2573, 279, 1182, 315, 279, 17921, 304, 279, 50454, 323, 1555, 705, 279, 4065, 315, 279, 17921, 773, 279, 1868, 498, 1865, 389, 279, 30368, 5128, 705, 448, 279, 5485, 24838, 13, 4615, 17921, 5485, 1231, 614, 5248, 11554, 389, 432, 13, 1416, 773, 11, 1281, 2704, 279, 17921, 23011, 304, 678, 315, 279, 537, 8528, 311, 5978, 498, 1281, 264, 7678, 3931, 624, 19, 13, 49720, 279, 17921, 1393, 432, 748, 2348, 279, 5485, 24838, 311, 3931, 6587, 1526, 432, 13, 9646, 697, 17921, 5485, 374, 4303, 518, 2480, 4628, 11, 13970, 4484, 279, 17921, 30368, 1119, 279, 24838, 13, 9646, 432, 8471, 14376, 1119, 279, 17921, 11, 12616, 279, 17921, 773, 279, 24838, 15104, 2163, 279, 74926, 315, 279, 30368, 13, 1634, 5135, 438, 498, 2163, 279, 74926, 315, 279, 17921, 11, 279, 835, 686, 4399, 1007, 323, 498, 646, 2484, 1007, 697, 5485, 13, 4615, 17921, 5485, 1231, 387, 7988, 3322, 311, 3931, 1526, 279, 30368, 2041, 41396, 432, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 6541, 46279, 30, 151645, 198, 151644, 77091, 198, 33024, 3880, 311, 990, 264, 1803, 504, 882, 311, 882, 11, 714, 6819, 646, 387, 11392, 13, 52253, 803, 46279, 646, 3581, 498, 3220, 323, 2506, 697, 1803, 748, 5479, 504, 12233, 6157, 13, 3216, 30426, 19188, 9842, 11, 18150, 53160, 323, 30491, 11, 323, 16380, 5792, 13404, 11, 498, 646, 6541, 803, 46279, 902, 4925, 1380, 498, 3129, 2087, 382, 565, 34006, 19188, 6541, 271, 16, 13, 75261, 304, 264, 14071, 11566, 13, 3240, 1765, 6157, 3643, 697, 1803, 9052, 894, 4637, 23270, 498, 3982, 5798, 705, 1393, 9842, 13, 3216, 72488, 29273, 323, 26024, 11, 498, 1231, 1477, 429, 264, 2936, 3100, 4344, 311, 6176, 2337, 697, 52622, 5486, 11, 323, 498, 1513, 1405, 1184, 311, 2936, 6587, 518, 678, 13, 1096, 6301, 323, 24020, 5486, 25935, 498, 10416, 624, 17, 13, 46905, 349, 38411, 13, 35825, 1007, 504, 264, 2480, 2936, 323, 68641, 6157, 7460, 697, 1803, 3271, 1526, 22257, 53160, 6157, 13, 1096, 5711, 264, 2696, 315, 6819, 13, 46905, 1095, 13970, 323, 803, 41971, 686, 1373, 2686, 315, 697, 1803, 323, 3581, 498, 3220, 624, 18, 13, 3386, 11853, 76449, 13, 13139, 498, 3129, 48704, 553, 264, 4540, 1618, 11, 4627, 476, 697, 6837, 11, 48704, 9842, 646, 5240, 498, 311, 34618, 59745, 323, 42780, 6157, 13, 1096, 43054, 10077, 315, 6819, 323, 374, 2588, 389, 697, 1803, 13, 1084, 646, 1083, 1281, 498, 803, 36997, 311, 264, 33248, 11423, 13, 9735, 311, 5244, 389, 279, 3383, 518, 1424, 1393, 9842, 323, 78953, 17361, 4627, 323, 4540, 88408, 13, 422, 3758, 22167, 9842, 374, 803, 1091, 1101, 3873, 27889, 13, 1084, 748, 1083, 11406, 13, 11778, 279, 7149, 315, 6133, 323, 697, 22172, 1119, 2692, 979, 498, 6541, 553, 7086, 279, 5636, 697, 2480, 6529, 4192, 565, 42650, 14448, 323, 30491, 271, 16, 13, 5443, 3720, 34021, 65613, 13, 2411, 3347, 24722, 11, 1667, 697, 3720, 34021, 12703, 10416, 15293, 13, 10255, 697, 3720, 64324, 369, 9842, 518, 5080, 24722, 476, 6502, 697, 11030, 1495, 311, 633, 264, 2632, 3720, 304, 264, 803, 6955, 1616, 624, 17, 13, 19649, 1495, 389, 30491, 13, 4615, 1803, 748, 30491, 11, 1741, 438, 279, 87620, 323, 3241, 707, 299, 12570, 11, 1373, 4802, 311, 1598, 1101, 438, 697, 1803, 1558, 13, 11999, 1007, 30491, 979, 498, 7629, 1405, 1667, 1105, 311, 6541, 803, 46279, 13, 1416, 3654, 14346, 5424, 2525, 389, 9463, 979, 498, 1191, 697, 1803, 11, 1490, 421, 498, 646, 11156, 1846, 5003, 624, 18, 13, 5443, 697, 53160, 13444, 13, 52253, 304, 264, 5080, 14448, 979, 8311, 646, 7949, 10416, 15293, 323, 387, 803, 11050, 369, 697, 1803, 748, 4712, 13, 2014, 429, 835, 11, 5648, 10018, 1526, 1449, 28439, 14448, 438, 498, 6541, 13, 96118, 53160, 13598, 4712, 4628, 323, 10416, 15293, 3347, 2337, 30803, 13, 5976, 419, 14762, 1172, 16790, 311, 11376, 11474, 11, 432, 646, 3581, 498, 6819, 3220, 323, 1492, 498, 6541, 803, 29720, 13, 25694, 2860, 43812, 646, 4538, 498, 311, 653, 419, 21000, 421, 498, 3129, 501, 311, 279, 14762, 4192, 565, 25001, 14021, 13404, 271, 16, 13, 4248, 697, 27287, 7262, 15502, 13, 55378, 697, 30700, 518, 279, 1550, 835, 315, 279, 11102, 27287, 88461, 2088, 11450, 2686, 13643, 438, 498, 6541, 13, 1096, 25935, 498, 10416, 323, 3220, 13, 1446, 2578, 1083, 2908, 3432, 697, 27287, 17189, 10067, 311, 5978, 697, 1803, 374, 4303, 7678, 323, 29720, 624, 17, 13, 5443, 279, 1290, 25128, 315, 4712, 5590, 13, 80100, 697, 1803, 448, 279, 3151, 4712, 5590, 432, 7460, 646, 18472, 4712, 38576, 13, 1096, 686, 1492, 697, 1803, 729, 1429, 29720, 11, 13997, 498, 10416, 323, 3220, 13, 1446, 646, 1477, 700, 1128, 3953, 5590, 697, 1803, 7460, 553, 5290, 279, 6372, 748, 11376, 624, 18, 13, 2126, 697, 1803, 80123, 15502, 13, 11778, 697, 1803, 311, 264, 1661, 2205, 44139, 311, 614, 432, 24109, 13, 24515, 697, 1803, 80123, 15502, 13598, 678, 315, 1181, 5479, 304, 1661, 3238, 1973, 13, 3197, 678, 5479, 315, 697, 1803, 525, 4240, 323, 3238, 7553, 745, 11, 697, 1803, 686, 2736, 1181, 1850, 4192, 565, 9680, 697, 8411, 271, 16, 13, 13795, 3100, 13, 97073, 4960, 50497, 476, 98446, 3460, 3589, 7460, 803, 6819, 311, 633, 697, 1803, 504, 1992, 311, 1992, 13, 16150, 803, 46279, 553, 18150, 279, 2795, 389, 697, 7310, 624, 17, 13, 5027, 697, 11618, 13, 24515, 5558, 7838, 2765, 1405, 653, 4113, 369, 697, 10416, 8584, 13, 9680, 697, 8411, 8305, 315, 882, 421, 498, 3129, 2087, 14696, 49283, 13, 97073, 264, 4540, 448, 264, 12731, 906, 476, 23344, 646, 1281, 697, 9842, 803, 11050, 624, 18, 13, 3261, 10285, 979, 3204, 13, 3261, 10285, 287, 25935, 6819, 323, 13248, 279, 22305, 315, 9842, 13, 10762, 551, 264, 1803, 10285, 448, 264, 4238, 311, 7482, 498, 3947, 13814, 11, 1741, 438, 975, 476, 2906, 11, 311, 3931, 1495, 389, 7049, 13, 1446, 4700, 1083, 3581, 697, 1803, 504, 803, 9850, 323, 17576, 624, 19, 13, 46812, 1848, 2844, 13, 25764, 1091, 3259, 10077, 315, 2805, 22466, 11, 1430, 311, 15963, 1848, 2844, 311, 3581, 6819, 13, 1096, 7460, 697, 1803, 311, 1191, 1036, 87072, 854, 2686, 13814, 11, 892, 25935, 498, 10416, 323, 3220, 13, 1084, 646, 387, 10950, 311, 3119, 700, 279, 1848, 2844, 498, 614, 311, 653, 304, 264, 2661, 2003, 11, 773, 498, 646, 1490, 1128, 646, 387, 10856, 1119, 825, 8411, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1281, 16009, 4126, 46468, 30, 151645, 198, 151644, 77091, 198, 49, 19696, 525, 264, 2244, 5256, 311, 894, 1965, 369, 894, 13101, 13, 12090, 315, 24047, 1105, 1119, 264, 92384, 11, 4764, 11, 3170, 537, 633, 803, 11521, 30, 15964, 4126, 46468, 525, 4135, 311, 1281, 11, 323, 498, 646, 990, 39944, 60641, 476, 1931, 6174, 13, 6909, 72, 5431, 525, 279, 1429, 5411, 11, 714, 498, 646, 1083, 1855, 264, 34288, 825, 553, 24047, 264, 16009, 1119, 264, 16217, 92384, 323, 21274, 432, 311, 279, 1909, 448, 3015, 382, 565, 7405, 264, 39944, 10000, 1909, 72, 658, 271, 16, 13, 8007, 37461, 264, 46565, 299, 824, 309, 4935, 311, 279, 1909, 315, 264, 8991, 476, 25055, 37799, 29033, 13, 17757, 279, 1909, 315, 279, 37799, 29033, 448, 4017, 37461, 11, 1221, 6157, 3493, 279, 46565, 299, 824, 309, 4935, 1119, 279, 37461, 13, 1446, 646, 990, 894, 1379, 46565, 299, 824, 309, 4935, 498, 1366, 11, 714, 2494, 2163, 220, 20, 14924, 320, 16, 17, 13, 22, 2889, 54236, 8, 1035, 387, 10507, 13, 13655, 279, 4935, 21117, 349, 311, 279, 37799, 9214, 13, 576, 9155, 279, 4935, 11, 279, 23327, 279, 37799, 9214, 1265, 387, 624, 17, 13, 2126, 264, 91613, 315, 13420, 39944, 60641, 323, 4131, 573, 279, 19281, 1007, 13, 25193, 264, 220, 17, 24241, 320, 20, 13, 15, 23, 21217, 25334, 8, 1293, 19101, 389, 1817, 16009, 13, 1416, 3204, 11, 990, 264, 6716, 315, 9067, 3931, 5045, 311, 653, 419, 13, 8999, 39944, 19281, 614, 9067, 4766, 279, 19101, 11, 892, 646, 37239, 264, 1661, 6716, 315, 71624, 13, 1416, 498, 4157, 1477, 9067, 3931, 5045, 11, 990, 264, 6716, 315, 44552, 71624, 498, 1513, 944, 3971, 10767, 91171, 624, 18, 13, 97626, 264, 16009, 1119, 279, 1909, 315, 264, 46565, 299, 824, 309, 4935, 13, 1416, 279, 16009, 374, 1602, 20174, 11, 6815, 432, 700, 11, 912, 264, 5943, 315, 37461, 1119, 279, 14178, 11, 1221, 4484, 279, 16009, 1182, 304, 13, 1446, 1366, 279, 2331, 315, 279, 16009, 30587, 279, 46565, 299, 824, 309, 4935, 13, 1446, 646, 990, 13870, 88, 37461, 476, 4017, 37461, 624, 19, 13, 2691, 803, 60641, 304, 264, 10058, 2163, 279, 1156, 825, 13, 7405, 2704, 429, 678, 315, 279, 60641, 525, 30587, 825, 2441, 11, 2670, 279, 825, 304, 279, 4126, 13, 9646, 1549, 11, 421, 894, 315, 279, 60641, 2666, 20174, 11, 9767, 1105, 448, 264, 5943, 315, 4017, 37461, 624, 20, 13, 15003, 7842, 60641, 304, 24544, 3080, 498, 5545, 279, 5622, 315, 279, 46565, 299, 824, 309, 4935, 13, 3197, 498, 525, 2814, 11, 279, 4453, 4935, 1265, 387, 9761, 304, 60641, 13, 7405, 2704, 429, 1052, 525, 902, 32151, 476, 9472, 315, 46565, 299, 824, 309, 9027, 624, 21, 13, 42187, 264, 44567, 2163, 279, 6149, 315, 279, 37799, 29033, 13, 58725, 279, 10335, 315, 279, 44567, 1119, 264, 3460, 15273, 13, 1752, 429, 1590, 5796, 11, 4131, 573, 279, 10335, 315, 279, 44567, 518, 458, 9210, 13, 362, 77084, 44567, 1035, 975, 279, 1850, 11, 714, 498, 646, 1083, 990, 264, 32538, 44567, 438, 1632, 13, 1084, 646, 2432, 279, 1894, 315, 697, 16009, 4935, 11, 476, 432, 646, 387, 458, 29100, 1894, 4518, 11, 1741, 438, 14961, 476, 6623, 4192, 565, 7405, 264, 1931, 10000, 1909, 72, 658, 271, 16, 13, 2055, 585, 264, 2504, 315, 6176, 45019, 31083, 304, 3015, 24398, 13, 1096, 686, 1492, 2506, 279, 60641, 4717, 48873, 1923, 5021, 979, 498, 9214, 1105, 1119, 279, 31083, 13, 2619, 525, 3807, 2155, 4494, 315, 45019, 31083, 13, 7405, 2704, 429, 498, 633, 279, 3093, 8791, 369, 7722, 19281, 13, 1446, 646, 1477, 432, 304, 279, 45019, 3772, 315, 458, 18560, 323, 43848, 8061, 13, 3155, 537, 990, 5792, 4158, 46565, 299, 824, 309, 369, 419, 13, 1446, 1184, 279, 31083, 311, 387, 2952, 311, 60692, 705, 3015, 773, 429, 279, 60641, 4717, 7722, 13, 2823, 16585, 979, 11589, 419, 943, 315, 31083, 13, 1084, 374, 1602, 8413, 979, 9058, 323, 6707, 294, 15864, 624, 17, 13, 10224, 279, 31083, 2504, 1119, 264, 26182, 13, 1446, 646, 990, 264, 26457, 19212, 11, 3119, 465, 11, 92384, 11, 476, 1496, 264, 91655, 8791, 369, 61207, 51205, 13, 1084, 1265, 2444, 3685, 279, 30130, 315, 697, 19212, 11, 3119, 465, 11, 476, 92384, 13, 1416, 279, 31083, 374, 2238, 2409, 11, 3931, 432, 1495, 311, 279, 1290, 1379, 323, 6083, 13, 1416, 498, 525, 6243, 279, 31083, 1495, 8630, 264, 91655, 11, 3931, 432, 1495, 311, 264, 11165, 57338, 476, 36366, 6083, 624, 18, 13, 2126, 458, 55295, 315, 60641, 323, 2182, 1105, 1119, 264, 15621, 315, 3015, 13, 1446, 646, 990, 60641, 304, 678, 825, 1894, 11, 476, 498, 646, 9342, 1667, 2155, 7987, 13, 1446, 646, 1083, 633, 2155, 36099, 315, 279, 1852, 1894, 369, 458, 297, 3096, 265, 2456, 13, 9680, 389, 1667, 911, 220, 19, 23, 60641, 13, 1416, 498, 3119, 389, 1667, 5248, 36099, 476, 7987, 11, 2182, 1105, 1119, 8651, 42112, 13, 1096, 686, 1281, 28273, 1526, 1105, 8661, 13, 21144, 1667, 8343, 34434, 60641, 13, 1096, 374, 264, 2613, 7716, 429, 3545, 5221, 44436, 714, 686, 912, 264, 6419, 5796, 624, 19, 13, 19649, 911, 220, 18, 14924, 320, 22, 13, 21, 17, 2889, 54236, 8, 1007, 315, 1817, 19101, 13, 5443, 264, 4240, 6716, 315, 13551, 1340, 1561, 323, 3931, 279, 43714, 518, 458, 9210, 13, 1084, 1035, 387, 264, 1661, 4522, 311, 3931, 1007, 279, 10901, 323, 270, 43029, 438, 1632, 13, 1416, 697, 31083, 2504, 374, 1602, 2613, 11, 498, 1231, 1366, 311, 3931, 279, 43714, 1495, 311, 911, 220, 18, 14924, 320, 22, 13, 21, 18, 2889, 54236, 4292, 20, 13, 97626, 279, 60641, 1119, 279, 31083, 13, 17101, 1105, 3265, 3322, 773, 429, 279, 91789, 5796, 13, 13655, 7842, 60641, 3080, 279, 31083, 374, 902, 5021, 9434, 13, 1446, 1513, 944, 614, 311, 51551, 279, 60641, 678, 279, 1616, 1495, 1119, 279, 31083, 13, 1416, 498, 525, 36972, 279, 60641, 1119, 264, 19212, 11, 3119, 465, 11, 476, 92384, 11, 2908, 36972, 1105, 304, 438, 2155, 42857, 311, 1855, 264, 57338, 12681, 2456, 13, 1416, 498, 525, 2087, 369, 458, 297, 3096, 265, 2456, 11, 1191, 448, 697, 3100, 477, 1894, 11, 1221, 3271, 389, 311, 279, 75969, 13, 1446, 646, 30893, 432, 304, 54688, 476, 24544, 624, 21, 13, 2691, 1045, 24284, 28627, 13, 2411, 419, 1459, 11, 697, 90753, 374, 2814, 13, 1446, 646, 3271, 432, 311, 279, 1965, 11, 323, 5274, 432, 438, 374, 11, 476, 498, 646, 912, 1045, 803, 28627, 311, 432, 13, 5692, 525, 1045, 6708, 510, 197, 9, 40580, 2805, 11, 4170, 533, 51205, 2163, 279, 90753, 13, 94359, 8991, 42158, 476, 45158, 2335, 27937, 2163, 279, 90753, 13, 58725, 264, 77084, 476, 32538, 44567, 2163, 279, 2331, 315, 279, 26182, 4192, 565, 7405, 458, 45374, 92384, 271, 16, 13, 2126, 264, 16217, 11, 8991, 11, 78510, 92384, 13, 1446, 646, 1083, 990, 264, 9334, 92384, 4518, 13, 1446, 686, 387, 24047, 279, 4453, 16009, 4766, 279, 92384, 323, 1221, 21274, 279, 92384, 678, 279, 1616, 448, 3015, 13, 9735, 311, 633, 264, 92384, 429, 374, 518, 3245, 220, 16, 17, 14924, 320, 18, 15, 13, 19, 23, 21217, 54236, 8, 16217, 13, 1096, 686, 1281, 697, 90753, 1401, 803, 25777, 13, 21144, 41195, 264, 25055, 11013, 2163, 279, 2331, 315, 279, 92384, 13, 1446, 646, 1477, 432, 304, 279, 46177, 476, 20843, 21278, 3772, 315, 458, 18560, 323, 43848, 3553, 624, 17, 13, 44376, 264, 16009, 1495, 3080, 432, 374, 911, 220, 18, 14924, 320, 22, 13, 21, 17, 2889, 54236, 8, 23327, 1091, 279, 92384, 13, 1446, 686, 1184, 279, 4960, 3550, 4766, 279, 92384, 369, 279, 19057, 37799, 13, 1416, 279, 16009, 374, 2238, 16217, 11, 432, 686, 9214, 700, 315, 279, 3015, 5457, 519, 323, 37239, 279, 2456, 13, 1446, 646, 11013, 1007, 279, 10901, 476, 5274, 1105, 389, 13, 19649, 1931, 60641, 448, 4240, 13551, 1340, 1561, 13, 19649, 39944, 60641, 448, 9067, 3931, 5045, 13, 1416, 498, 14554, 311, 5274, 279, 10901, 389, 264, 1931, 16009, 11, 73241, 1105, 1007, 1212, 7010, 3015, 13, 1096, 686, 633, 9279, 315, 894, 15797, 429, 2578, 79473, 705, 279, 3015, 624, 18, 13, 17101, 279, 16009, 1119, 264, 59881, 8983, 13, 362, 59881, 8983, 374, 264, 16254, 27835, 9317, 13364, 448, 26944, 36972, 700, 315, 432, 11, 1075, 264, 6869, 36061, 13, 1446, 646, 1477, 1105, 304, 279, 45019, 3772, 315, 458, 18560, 323, 43848, 3553, 13, 9735, 311, 63685, 279, 16009, 594, 19101, 1948, 279, 26944, 4751, 1091, 7678, 1119, 1105, 13, 21144, 7842, 264, 2421, 803, 23327, 60641, 1119, 279, 8983, 13, 362, 59881, 8983, 374, 537, 10875, 5871, 11, 714, 432, 686, 1492, 2506, 279, 16009, 9767, 13, 1416, 498, 4157, 1477, 264, 59881, 8983, 11, 498, 686, 614, 311, 912, 803, 92384, 54710, 2937, 389, 624, 19, 13, 10771, 279, 16009, 1119, 279, 5622, 315, 279, 92384, 13, 1752, 458, 3694, 2456, 11, 2908, 13054, 389, 264, 1186, 22780, 1238, 13113, 3100, 11, 323, 7842, 432, 1119, 279, 5622, 315, 279, 92384, 438, 1632, 13, 7405, 2704, 429, 279, 13113, 3100, 374, 8791, 369, 1660, 1483, 304, 45374, 45019, 27804, 13, 1446, 646, 1477, 1105, 304, 279, 45019, 9292, 315, 458, 18560, 323, 43848, 8061, 624, 20, 13, 21979, 279, 5622, 315, 279, 92384, 54710, 13, 49059, 453, 279, 54710, 700, 315, 279, 8968, 448, 697, 6078, 11, 1221, 15516, 8865, 432, 3941, 279, 5622, 315, 279, 92384, 13, 1096, 686, 5358, 279, 54710, 504, 33346, 279, 16009, 594, 95640, 13, 13655, 21274, 279, 92384, 3080, 279, 59881, 8983, 374, 9761, 13, 1446, 646, 990, 13673, 58641, 77320, 476, 47373, 11, 315, 8991, 42158, 476, 3594, 38763, 13, 1416, 498, 14716, 944, 2952, 311, 1477, 264, 59881, 8983, 11, 5155, 279, 5622, 315, 279, 92384, 448, 220, 17, 311, 220, 18, 14924, 320, 20, 13, 15, 23, 311, 220, 22, 13, 21, 17, 2889, 54236, 8, 315, 92384, 54710, 11, 476, 3080, 279, 16009, 13352, 705, 389, 1181, 1828, 624, 21, 13, 21979, 279, 92384, 448, 7010, 3015, 13, 14215, 979, 498, 525, 911, 220, 16, 17122, 320, 17, 13, 20, 19, 2889, 54236, 8, 3123, 504, 279, 30130, 315, 279, 92384, 13, 576, 4453, 16009, 11, 2670, 279, 51454, 11, 1265, 387, 84077, 1212, 3015, 624, 22, 13, 10771, 264, 19057, 37799, 389, 1909, 13, 7405, 2704, 429, 279, 5622, 315, 279, 37799, 1558, 537, 27575, 705, 2348, 279, 16009, 13, 1416, 432, 1558, 11, 912, 803, 3015, 476, 11013, 279, 16009, 1495, 13, 1446, 646, 990, 264, 5792, 4778, 37799, 476, 264, 16009, 34731, 825, 624, 23, 13, 10771, 279, 92384, 389, 697, 1965, 13, 21144, 71816, 58641, 42158, 476, 45158, 2335, 27937, 2163, 279, 92384, 13, 1446, 646, 1083, 1281, 264, 2421, 803, 348, 2264, 429, 525, 49909, 476, 23327, 1091, 279, 825, 498, 1101, 1865, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 8649, 5590, 504, 264, 33457, 30, 151645, 198, 151644, 77091, 198, 7339, 26261, 5590, 374, 2244, 369, 17233, 323, 1657, 1008, 5711, 13, 24288, 432, 518, 2114, 646, 387, 882, 34108, 323, 33453, 11, 714, 498, 646, 653, 432, 448, 264, 2699, 315, 38855, 0, 5145, 553, 17592, 279, 13041, 315, 279, 33457, 504, 1181, 12528, 13, 5005, 11, 990, 264, 61795, 311, 15963, 279, 13041, 448, 3015, 323, 1281, 33457, 14074, 13, 5542, 429, 11, 498, 646, 45364, 279, 5590, 1667, 8628, 476, 264, 9255, 12, 1873, 1714, 382, 565, 10783, 279, 13041, 504, 279, 12528, 271, 16, 13, 49830, 279, 8413, 477, 7912, 448, 264, 9317, 40543, 261, 13, 97626, 518, 1817, 315, 279, 33457, 594, 220, 18, 6414, 13, 1446, 1265, 1477, 825, 429, 594, 63130, 13, 3197, 498, 653, 11, 4484, 279, 40543, 261, 1526, 279, 7912, 11, 3259, 264, 14178, 1526, 432, 13, 576, 6414, 525, 279, 2613, 6319, 25362, 429, 525, 92758, 3786, 389, 279, 1909, 315, 279, 33457, 13, 1446, 646, 1083, 990, 264, 22360, 40543, 261, 11, 714, 432, 1410, 1438, 13, 1446, 1410, 1083, 1430, 458, 9853, 3735, 476, 1496, 1101, 264, 17232, 21430, 624, 17, 13, 25968, 279, 33457, 3015, 1119, 264, 5476, 13, 11999, 279, 14178, 916, 264, 5476, 323, 26025, 700, 279, 3015, 13, 1084, 1231, 1896, 264, 4445, 476, 1378, 311, 633, 432, 678, 700, 26, 498, 1265, 835, 705, 448, 220, 15, 13, 17, 20, 311, 220, 15, 13, 22, 20, 25374, 320, 20, 24, 311, 220, 16, 22, 22, 64070, 8, 315, 33457, 3015, 504, 1817, 33457, 13, 1416, 498, 1184, 311, 11, 1281, 279, 14178, 11243, 13, 71279, 3015, 374, 1661, 369, 16163, 11, 323, 498, 2765, 944, 2167, 1184, 432, 369, 279, 5590, 624, 18, 13, 1232, 473, 279, 33457, 448, 264, 23457, 476, 13041, 27582, 3135, 3080, 432, 18303, 13, 36194, 279, 33457, 448, 264, 42613, 323, 2484, 432, 773, 279, 12528, 374, 14900, 13, 36134, 279, 33457, 448, 279, 5392, 11, 13054, 432, 438, 498, 653, 13, 576, 12528, 686, 9583, 17486, 13, 13655, 52628, 311, 9225, 279, 17486, 2163, 279, 33457, 13, 1446, 646, 1083, 990, 4113, 770, 8811, 498, 614, 34644, 2163, 11, 1741, 438, 264, 2613, 6311, 11001, 77985, 476, 1496, 264, 43785, 273, 13, 1416, 498, 2299, 1667, 264, 77985, 11, 738, 279, 33457, 389, 264, 14376, 4479, 476, 2441, 2588, 7329, 311, 17486, 432, 13, 1446, 646, 1083, 4201, 432, 389, 264, 2588, 7329, 624, 19, 13, 15623, 279, 12528, 1007, 279, 33457, 553, 51729, 432, 304, 9666, 13, 9646, 279, 12528, 702, 42839, 304, 279, 6149, 678, 279, 1616, 2163, 11, 279, 33457, 1265, 1438, 304, 4279, 13, 10771, 825, 4279, 3579, 14875, 389, 264, 14376, 4479, 11, 1221, 420, 473, 279, 12528, 448, 279, 23457, 476, 13041, 27582, 3135, 13, 4599, 19558, 432, 264, 2421, 3039, 1265, 1281, 279, 24955, 20174, 3322, 311, 6815, 700, 13, 13293, 2999, 374, 311, 2506, 19558, 432, 389, 264, 2588, 7329, 3080, 279, 12528, 44863, 1007, 13, 13655, 13054, 279, 12528, 311, 4201, 264, 501, 7702, 1817, 882, 624, 20, 13, 10783, 279, 24955, 323, 73241, 279, 33457, 13, 5443, 264, 14100, 21430, 311, 27505, 700, 279, 33457, 24955, 13, 5985, 279, 33457, 9666, 1212, 4303, 3015, 311, 4057, 894, 33998, 504, 279, 24955, 13, 4329, 1251, 10702, 311, 57112, 1007, 279, 15430, 11, 13876, 6787, 11, 3498, 432, 594, 537, 5871, 13, 1416, 498, 4172, 1075, 311, 11, 990, 264, 35481, 1051, 7865, 311, 1896, 432, 1007, 323, 73241, 279, 9666, 1549, 4192, 565, 5443, 264, 61795, 311, 1281, 33457, 14074, 271, 16, 13, 63997, 279, 33457, 13041, 1119, 9155, 9666, 13, 4615, 61795, 686, 653, 1429, 315, 279, 975, 369, 498, 11, 714, 697, 33457, 13041, 3880, 311, 387, 304, 2613, 3322, 9472, 369, 697, 61795, 311, 633, 311, 432, 13, 9735, 220, 16, 17122, 320, 17, 13, 20, 9961, 8, 54104, 476, 9155, 13, 1446, 646, 990, 438, 1657, 476, 438, 2421, 1062, 443, 6128, 438, 498, 1366, 13, 13655, 304, 3971, 429, 432, 4990, 5008, 264, 2421, 1062, 443, 6128, 311, 1281, 264, 2613, 3311, 315, 5590, 323, 2155, 5413, 686, 8193, 2155, 14713, 315, 5590, 13, 1752, 2867, 11, 220, 18, 12, 19, 1062, 443, 6128, 686, 4363, 1172, 8193, 220, 15, 13, 17, 20, 25374, 320, 20, 24, 64070, 8, 315, 33457, 5590, 624, 17, 13, 2691, 279, 33457, 9666, 311, 264, 61795, 323, 4914, 304, 3015, 13, 1446, 1231, 1184, 311, 20334, 697, 33457, 304, 44792, 421, 498, 2299, 8692, 264, 2696, 315, 1062, 443, 6128, 518, 3055, 13, 8278, 5155, 279, 61795, 911, 220, 16, 14, 18, 315, 279, 1616, 448, 33457, 13, 25968, 304, 3322, 4017, 3015, 311, 6587, 3421, 279, 33457, 448, 458, 4960, 220, 16, 17122, 320, 17, 13, 20, 9961, 8, 476, 773, 315, 3015, 389, 1909, 13, 2516, 321, 1045, 3015, 323, 1221, 6514, 432, 448, 7010, 3015, 773, 432, 594, 4017, 714, 537, 773, 4017, 429, 498, 646, 944, 5796, 432, 13, 4329, 1251, 990, 9255, 3015, 369, 32189, 13, 4354, 11, 498, 2765, 944, 633, 438, 1753, 5590, 504, 279, 33457, 448, 9255, 3015, 624, 18, 13, 49249, 323, 20334, 279, 20980, 3080, 10876, 13, 10771, 279, 26334, 389, 279, 61795, 13, 22950, 279, 330, 47, 17217, 1, 3137, 220, 18, 12, 19, 3039, 323, 1221, 738, 432, 389, 1550, 13, 13655, 55841, 3080, 432, 5868, 1075, 432, 594, 264, 10876, 11, 86182, 20980, 13, 1096, 1882, 18644, 33457, 14074, 624, 19, 13, 4509, 466, 279, 20980, 1526, 264, 74336, 13, 25968, 279, 33457, 14074, 1526, 264, 6915, 11294, 74336, 13, 1634, 279, 20980, 78650, 11, 990, 697, 6078, 311, 36563, 279, 63088, 476, 521, 2649, 2115, 4815, 311, 1281, 2704, 498, 2299, 3709, 678, 279, 14074, 700, 315, 432, 13, 1446, 1231, 1184, 311, 74336, 432, 803, 1091, 3055, 311, 633, 678, 279, 521, 2649, 700, 13, 1446, 646, 1083, 990, 264, 9979, 14074, 8968, 11, 892, 374, 11689, 1865, 369, 3259, 9979, 7473, 2787, 13, 1084, 594, 1865, 315, 6915, 27292, 11, 323, 498, 646, 36563, 279, 4361, 8968, 311, 4879, 279, 14074, 13, 38478, 11, 498, 646, 1101, 990, 264, 6573, 315, 42832, 757, 69552, 476, 3091, 3732, 916, 264, 74336, 11, 1221, 3735, 705, 279, 521, 2649, 323, 27292, 3786, 311, 36563, 432, 700, 624, 20, 13, 44801, 279, 16857, 1882, 264, 2086, 882, 311, 633, 678, 315, 279, 14074, 700, 13, 10224, 279, 521, 2649, 1182, 304, 279, 61795, 448, 803, 3015, 13, 2825, 484, 432, 1549, 3080, 432, 594, 10876, 11, 323, 1221, 4914, 432, 1526, 279, 74336, 13, 1096, 686, 1492, 4879, 279, 2732, 315, 279, 33457, 14074, 13, 1446, 646, 990, 279, 63088, 476, 521, 2649, 304, 1008, 25779, 429, 1618, 369, 33457, 81623, 624, 21, 13, 10771, 279, 14074, 304, 279, 44944, 773, 279, 12644, 646, 10000, 311, 279, 1909, 13, 25193, 279, 33457, 14074, 304, 279, 44944, 369, 518, 3245, 220, 17, 12, 18, 4115, 13, 3197, 432, 594, 5527, 11, 498, 3278, 1490, 279, 33457, 12644, 389, 279, 1909, 304, 264, 2588, 39612, 624, 22, 13, 4818, 318, 279, 33457, 12644, 504, 279, 1909, 315, 279, 5476, 13, 5443, 264, 21430, 311, 29273, 15983, 1526, 279, 33457, 12644, 389, 1909, 323, 1598, 279, 21430, 2163, 279, 12822, 13, 31828, 279, 9666, 315, 33457, 12644, 1007, 279, 1909, 315, 279, 14074, 11, 3730, 697, 1850, 311, 5274, 279, 2732, 315, 279, 14074, 4815, 13, 1446, 646, 4296, 19653, 476, 1008, 15298, 304, 279, 14473, 2115, 4815, 11, 892, 686, 912, 803, 17172, 311, 279, 3607, 4192, 565, 12514, 279, 20980, 311, 8651, 279, 5590, 504, 279, 3015, 271, 16, 13, 10224, 279, 33457, 12644, 304, 264, 3338, 916, 3347, 8628, 13, 4320, 944, 1077, 279, 20980, 16205, 11, 438, 498, 1410, 8231, 279, 5590, 13, 19725, 264, 24461, 9509, 3338, 476, 2494, 4428, 13, 34006, 1667, 2477, 5477, 865, 63783, 369, 419, 1882, 624, 17, 13, 12514, 279, 33457, 14074, 369, 518, 3245, 458, 6460, 11, 53954, 1449, 220, 20, 12, 16, 15, 4420, 13, 1446, 686, 1490, 279, 5590, 1191, 311, 8651, 504, 279, 81386, 11, 892, 686, 387, 4158, 518, 1156, 13, 6065, 882, 11, 279, 3015, 686, 43690, 1007, 323, 279, 81386, 686, 1191, 311, 2484, 13876, 13, 9646, 279, 81386, 525, 6319, 13876, 323, 279, 5590, 374, 6587, 18663, 11, 498, 2299, 2814, 448, 279, 17233, 1882, 13, 64192, 279, 20980, 22930, 624, 18, 13, 25968, 279, 20980, 1526, 42832, 757, 69552, 11, 3091, 3732, 11, 476, 264, 6915, 1448, 4288, 74336, 13, 576, 74336, 686, 4057, 279, 6319, 13876, 9472, 504, 279, 5590, 13, 9646, 279, 5590, 374, 2797, 11, 4914, 432, 1119, 264, 5476, 315, 697, 5754, 13, 6771, 432, 7010, 11, 1221, 3553, 432, 304, 279, 44944, 476, 304, 697, 85941, 323, 990, 432, 304, 697, 6930, 25779, 13, 10224, 432, 304, 264, 5476, 429, 498, 646, 45505, 432, 700, 504, 6707, 11, 438, 432, 686, 4363, 6437, 1437, 4192, 565, 7405, 9255, 12, 14318, 5590, 271, 16, 13, 10224, 279, 33457, 12644, 304, 264, 29595, 323, 2506, 432, 8205, 24398, 13, 2691, 4017, 3015, 26376, 311, 279, 11067, 369, 40363, 13, 1446, 646, 1992, 432, 304, 264, 35821, 476, 2182, 64612, 916, 432, 311, 1492, 2506, 432, 8205, 13, 1096, 686, 3161, 279, 24737, 1882, 11, 17592, 279, 3015, 504, 279, 5590, 624, 17, 13, 10771, 279, 29595, 304, 279, 44944, 279, 1790, 1899, 311, 8651, 279, 12644, 13, 4248, 389, 432, 1283, 264, 2421, 4115, 13, 576, 12644, 686, 1352, 264, 2588, 6193, 389, 1909, 421, 432, 594, 18663, 13, 1416, 432, 702, 11, 6815, 432, 504, 279, 44944, 13, 5443, 264, 21430, 476, 45505, 311, 56407, 279, 2588, 949, 1119, 264, 501, 29595, 13, 1446, 646, 37867, 279, 3015, 476, 990, 432, 369, 17233, 624, 18, 13, 13655, 279, 20980, 8205, 24398, 1549, 323, 1221, 25716, 432, 13, 10771, 432, 1182, 304, 279, 78279, 3082, 448, 4017, 3015, 26376, 13, 9646, 1549, 11, 279, 2847, 67, 686, 8651, 504, 279, 14473, 3685, 13, 758, 279, 6556, 11, 6815, 279, 29595, 700, 13, 4509, 466, 279, 20980, 1526, 42832, 757, 69552, 323, 264, 9317, 607, 1743, 1119, 264, 501, 29595, 13, 4320, 944, 36563, 279, 2847, 67, 2337, 419, 1882, 13, 6771, 432, 72499, 700, 624, 19, 13, 74158, 349, 323, 8651, 279, 5590, 825, 803, 882, 13, 25193, 279, 20980, 304, 279, 44944, 369, 518, 3245, 264, 5625, 315, 4115, 13, 3197, 432, 5868, 18663, 11, 6815, 279, 29595, 700, 13, 576, 2588, 949, 389, 1909, 686, 387, 279, 5590, 13, 5443, 264, 21430, 476, 45505, 311, 6815, 432, 700, 1119, 264, 501, 29595, 11, 323, 498, 2299, 8060, 448, 279, 5590, 13, 1084, 594, 1850, 311, 29377, 349, 419, 3093, 315, 5590, 11, 438, 432, 594, 2588, 311, 633, 678, 315, 279, 3015, 700, 13, 9959, 646, 64793, 279, 5590, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 2291, 3343, 13125, 2860, 30, 151645, 198, 151644, 77091, 198, 2679, 498, 1828, 1931, 3343, 320, 64, 2114, 476, 4268, 8, 304, 279, 3639, 4180, 11, 498, 525, 8480, 369, 12515, 1584, 3343, 13125, 1817, 1042, 13, 5976, 1493, 13125, 525, 31348, 1526, 279, 13867, 1380, 279, 3343, 374, 7407, 11, 1429, 30176, 304, 1817, 1584, 2138, 3343, 7824, 311, 2291, 862, 13125, 2860, 13, 576, 3151, 1995, 498, 1184, 311, 2291, 697, 3343, 13125, 2860, 13798, 389, 1380, 697, 3343, 374, 7407, 382, 565, 20517, 697, 14173, 271, 16, 13, 9192, 389, 697, 3742, 4031, 13, 1446, 1265, 5258, 458, 9775, 3343, 3742, 5114, 304, 279, 8072, 429, 5707, 1995, 911, 279, 3311, 315, 3742, 498, 41110, 1817, 1042, 13, 1096, 5114, 1083, 702, 1008, 1995, 11, 1741, 438, 264, 3343, 21892, 1372, 476, 27129, 11, 429, 1231, 387, 5871, 369, 498, 311, 2291, 697, 13125, 2860, 13, 4615, 3742, 4031, 1231, 537, 2924, 894, 1594, 258, 16769, 13125, 11, 476, 894, 1008, 3742, 40200, 11, 1741, 438, 67951, 13125, 13, 12969, 11136, 525, 3208, 25156, 624, 17, 13, 4248, 2860, 421, 498, 8990, 944, 3949, 264, 4031, 13, 4599, 1576, 498, 1513, 944, 5258, 264, 4031, 3171, 944, 3076, 498, 1513, 944, 41110, 3343, 13125, 13, 758, 1429, 5302, 323, 30176, 11, 498, 646, 1477, 700, 1246, 1753, 3742, 498, 41110, 553, 2087, 311, 697, 1584, 476, 13867, 594, 3343, 3742, 3910, 13, 576, 3311, 315, 3742, 2860, 11136, 686, 387, 803, 705, 311, 2400, 1091, 1128, 594, 389, 697, 4031, 11, 773, 1496, 421, 498, 614, 697, 4031, 25163, 498, 1231, 1366, 311, 1779, 2860, 13, 1416, 1052, 594, 264, 78005, 11, 728, 553, 279, 3311, 2860, 4751, 1091, 279, 3311, 389, 697, 4031, 13, 18656, 11, 498, 1231, 1184, 264, 27129, 476, 21892, 1372, 7407, 389, 279, 4031, 311, 2615, 697, 3742, 3311, 2860, 624, 18, 13, 7143, 279, 3742, 1071, 8309, 594, 5163, 421, 498, 1184, 803, 1995, 13, 1416, 498, 8990, 944, 3949, 264, 4031, 323, 646, 944, 1477, 279, 3311, 498, 41110, 389, 279, 3910, 11, 498, 646, 2677, 1618, 279, 3742, 1071, 8309, 594, 5163, 323, 2548, 13, 576, 44257, 1265, 387, 2952, 311, 2968, 498, 279, 2790, 3311, 315, 3343, 3742, 498, 41110, 11, 438, 1632, 438, 894, 1008, 1995, 498, 1184, 11, 1741, 438, 264, 27129, 11, 773, 498, 646, 2291, 697, 13125, 2860, 624, 19, 13, 33563, 279, 4494, 315, 3343, 3742, 498, 41110, 13, 4329, 5302, 476, 30176, 1231, 614, 2155, 4494, 315, 3343, 13125, 429, 498, 3278, 614, 311, 2291, 13, 1446, 1231, 614, 311, 1779, 369, 2155, 4494, 25156, 13, 1752, 3110, 11, 304, 7043, 498, 1231, 614, 26430, 323, 650, 84308, 3343, 13125, 13, 1230, 84308, 3343, 13125, 525, 13125, 389, 3015, 7712, 11, 75381, 11, 476, 13340, 37664, 429, 525, 537, 8433, 311, 1931, 3343, 13, 4220, 1231, 387, 10007, 25156, 11, 476, 5230, 389, 8651, 13037, 13, 39630, 389, 1380, 498, 3887, 11, 3654, 4494, 315, 3343, 13125, 1231, 537, 387, 5230, 304, 279, 2860, 1995, 13, 1752, 3110, 11, 279, 3343, 3742, 3910, 369, 12514, 6272, 11, 18657, 11, 1558, 537, 2924, 14713, 369, 1182, 13125, 11, 3720, 24761, 13125, 11, 323, 1045, 1008, 4494, 315, 3343, 13125, 624, 20, 13, 33563, 4152, 12713, 369, 13125, 47909, 13, 1913, 279, 3742, 1071, 8309, 594, 3910, 11, 498, 3278, 1477, 1995, 911, 279, 12713, 3343, 13125, 525, 4152, 1817, 1042, 13, 1416, 498, 614, 894, 1594, 258, 16769, 13125, 11, 807, 11136, 525, 6509, 4152, 7069, 13, 1416, 498, 2291, 697, 13125, 389, 476, 1573, 279, 4152, 12713, 498, 3278, 5648, 29986, 11, 2734, 11, 323, 1008, 12436, 13, 9680, 8305, 11, 5310, 421, 498, 2765, 944, 387, 2952, 311, 2291, 279, 2790, 3311, 678, 518, 3055, 624, 21, 13, 29901, 1246, 1753, 315, 697, 13125, 498, 646, 2291, 13, 96385, 421, 498, 614, 1594, 258, 16769, 13125, 11, 498, 1231, 537, 387, 2952, 311, 2291, 678, 315, 697, 13125, 518, 3055, 13, 9549, 279, 3910, 1632, 1573, 279, 4152, 2400, 11, 421, 3204, 11, 773, 498, 646, 8039, 369, 697, 14173, 27079, 624, 22, 13, 4248, 311, 1490, 421, 697, 20846, 2813, 374, 12515, 697, 3343, 13125, 13, 1416, 498, 614, 264, 20846, 389, 697, 3343, 11, 697, 15088, 20846, 8160, 1231, 2924, 458, 3835, 651, 3311, 429, 5780, 311, 2291, 697, 3343, 13125, 13, 3197, 3343, 13125, 525, 4152, 11, 697, 20846, 2813, 686, 14798, 279, 3220, 504, 279, 3835, 651, 2692, 323, 2291, 1105, 389, 697, 17522, 13, 1446, 11136, 2058, 686, 633, 264, 4031, 476, 3343, 3742, 5114, 11, 1496, 3498, 498, 1513, 944, 41110, 4113, 13, 4248, 448, 697, 20846, 2813, 421, 498, 2299, 537, 2704, 773, 498, 1513, 944, 835, 705, 12515, 10917, 4192, 565, 7405, 697, 14173, 271, 16, 13, 19008, 697, 13867, 476, 1584, 594, 3343, 3742, 3910, 13, 8655, 13125, 525, 31348, 553, 13867, 16636, 13, 576, 29589, 1616, 311, 1477, 697, 13867, 594, 3343, 3742, 3910, 374, 311, 1779, 389, 697, 1584, 594, 3910, 369, 264, 2656, 13, 4615, 1584, 686, 614, 264, 659, 53203, 3482, 2621, 11, 773, 498, 646, 387, 27378, 429, 279, 2656, 498, 1477, 504, 279, 1584, 3910, 374, 279, 22745, 3910, 369, 697, 13867, 13, 1096, 1616, 498, 646, 1281, 2704, 498, 2506, 678, 697, 1995, 9767, 624, 17, 13, 11252, 1995, 369, 697, 3343, 13, 576, 1995, 498, 1184, 311, 3725, 311, 2615, 697, 2692, 323, 2291, 697, 13125, 2860, 43542, 4221, 5302, 323, 30176, 13, 45302, 498, 3278, 614, 264, 27129, 476, 3343, 21892, 1372, 429, 498, 1969, 3725, 311, 12440, 1477, 697, 3343, 13, 362, 8592, 2621, 11136, 4436, 944, 3322, 11, 1576, 3343, 1231, 387, 31348, 1667, 29309, 5109, 476, 1045, 1008, 1849, 315, 7321, 624, 18, 13, 3155, 264, 2711, 369, 697, 3343, 13, 4329, 3343, 3742, 8552, 1087, 1231, 2138, 498, 311, 1401, 705, 279, 3343, 21892, 1372, 498, 1184, 389, 279, 3910, 5086, 13, 25028, 1231, 1373, 498, 311, 1618, 279, 13867, 3742, 1071, 8309, 594, 5163, 311, 633, 279, 1995, 498, 1184, 13, 1416, 498, 1513, 944, 614, 279, 1995, 498, 1184, 11, 1401, 369, 264, 2656, 429, 686, 2138, 498, 311, 2711, 369, 697, 3343, 13, 3197, 498, 4205, 389, 279, 2656, 311, 2291, 697, 13125, 11, 1052, 1265, 387, 264, 2656, 3265, 311, 279, 3550, 1380, 498, 1035, 3725, 279, 1995, 429, 498, 646, 1795, 311, 633, 279, 1995, 498, 1184, 624, 19, 13, 10294, 21555, 5413, 315, 8160, 13, 39630, 389, 279, 13867, 11, 2155, 5413, 315, 8160, 525, 11666, 421, 498, 1366, 311, 2291, 697, 3343, 13125, 2860, 13, 4329, 5413, 315, 8160, 1231, 2525, 448, 458, 5107, 11060, 13, 1416, 498, 2291, 1667, 458, 14346, 1779, 11, 498, 11136, 2765, 944, 614, 311, 2291, 264, 11060, 13, 12091, 264, 45353, 476, 6668, 3701, 1231, 61522, 264, 11060, 23994, 504, 264, 2421, 11192, 311, 220, 17, 476, 220, 18, 3266, 315, 279, 3311, 315, 697, 8160, 624, 20, 13, 7405, 697, 8160, 13, 9646, 498, 3003, 10636, 279, 1995, 498, 1184, 323, 11882, 697, 1714, 315, 8160, 11, 4936, 3725, 279, 3311, 315, 3220, 498, 1366, 311, 2291, 3156, 448, 697, 8160, 1995, 311, 2291, 697, 3343, 13125, 2860, 624, 21, 13, 8213, 697, 19539, 13, 9646, 498, 3003, 14634, 697, 8160, 11, 498, 3278, 11136, 633, 264, 19539, 4171, 429, 686, 2924, 264, 4911, 19539, 1372, 323, 458, 2999, 311, 1173, 279, 2150, 369, 697, 7424, 13, 1446, 1231, 1083, 633, 264, 19539, 1526, 2551, 13, 1416, 498, 633, 458, 2551, 19539, 498, 1513, 944, 14312, 614, 311, 1173, 264, 5567, 2975, 11, 1101, 1281, 2704, 311, 3581, 279, 2551, 4192, 565, 5443, 1008, 2860, 4963, 271, 16, 13, 4230, 264, 19565, 13, 1416, 498, 1828, 3807, 83927, 315, 3343, 304, 279, 1852, 1584, 476, 13867, 11, 498, 1231, 387, 2952, 311, 1855, 264, 19565, 315, 5888, 389, 697, 1584, 476, 13867, 594, 3343, 3742, 3910, 13, 576, 19565, 6147, 498, 311, 10091, 678, 315, 697, 3343, 13125, 304, 825, 1992, 13, 9192, 369, 264, 2656, 389, 279, 3343, 3742, 2150, 429, 686, 2138, 498, 311, 1855, 264, 19565, 11, 323, 1795, 279, 11221, 13, 1416, 498, 1513, 944, 1490, 264, 2656, 11, 1401, 369, 264, 30972, 2150, 323, 1490, 421, 4113, 374, 10007, 911, 1246, 311, 2656, 5248, 5888, 624, 17, 13, 2573, 705, 45250, 14173, 13, 4329, 5302, 323, 30176, 2138, 498, 311, 3725, 8160, 1995, 3055, 323, 9700, 14173, 11, 892, 525, 9463, 95504, 504, 697, 6073, 2692, 476, 6668, 3701, 13, 1416, 498, 614, 279, 2999, 311, 9700, 14173, 11, 419, 646, 387, 10950, 448, 8039, 287, 13, 1446, 646, 9700, 264, 7130, 8160, 1817, 2254, 773, 498, 1513, 944, 614, 311, 2291, 279, 4361, 3166, 678, 518, 3055, 13, 4389, 697, 8160, 12713, 389, 697, 13168, 476, 738, 264, 26528, 389, 697, 4540, 773, 498, 1513, 944, 10667, 429, 279, 8160, 374, 5001, 700, 624, 18, 13, 27270, 311, 2551, 21969, 13, 4329, 30176, 3410, 2551, 21969, 429, 686, 5115, 498, 1573, 279, 4152, 2400, 369, 3343, 13125, 11, 476, 979, 1052, 614, 1012, 4344, 311, 697, 2692, 13, 1416, 498, 14716, 944, 2952, 311, 738, 705, 45250, 14173, 11, 1493, 21969, 646, 1492, 498, 5978, 498, 1513, 944, 3116, 264, 4152, 2400, 323, 61522, 5107, 29986, 323, 12436, 13, 1416, 498, 17963, 311, 2551, 21969, 11, 498, 1231, 1366, 311, 912, 279, 2551, 2621, 311, 697, 18508, 1140, 476, 14890, 14230, 1140, 13, 1096, 686, 5978, 498, 3520, 5258, 279, 21969, 323, 807, 1513, 944, 4399, 1119, 697, 25328, 8527, 624, 19, 13, 20552, 369, 264, 8160, 3119, 13, 7496, 30176, 2138, 498, 311, 738, 705, 264, 8160, 3119, 421, 498, 614, 1594, 258, 16769, 3343, 13125, 13, 1446, 11136, 614, 311, 5155, 700, 458, 3766, 11, 323, 1231, 387, 3832, 311, 264, 6668, 1779, 13, 4329, 30176, 1083, 2138, 8160, 6649, 1496, 421, 697, 13125, 525, 1482, 11, 421, 498, 47148, 498, 2765, 944, 387, 2952, 311, 2291, 279, 3311, 304, 2480, 553, 279, 4152, 2400, 13, 1416, 419, 2999, 374, 2500, 311, 498, 11, 432, 646, 3581, 498, 304, 4650, 3309, 12436, 323, 29986, 13, 362, 8160, 3119, 11136, 7460, 279, 14173, 311, 387, 9463, 4222, 1608, 504, 697, 6073, 2692, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 44029, 14961, 24544, 30, 151645, 198, 151644, 77091, 198, 52343, 86480, 20527, 438, 432, 748, 14900, 311, 3720, 323, 3100, 13, 41436, 11, 49103, 697, 14961, 311, 1181, 4024, 29003, 309, 646, 387, 2814, 14138, 6707, 13, 13139, 498, 990, 264, 10601, 315, 27815, 38862, 323, 46105, 11, 12021, 323, 29464, 22815, 11, 12883, 11, 24649, 46399, 323, 27815, 38862, 11, 14961, 44029, 11, 476, 25507, 56868, 311, 633, 279, 2618, 2814, 11, 498, 4700, 614, 697, 14961, 3330, 6741, 501, 304, 902, 882, 0, 12343, 11, 1817, 1714, 374, 7373, 369, 24544, 448, 48051, 11, 42158, 11, 476, 1008, 26400, 26210, 304, 1105, 382, 565, 46655, 24544, 448, 27815, 38862, 323, 46105, 271, 16, 13, 19219, 77137, 226, 17, 10525, 320, 16, 17, 15, 64070, 8, 315, 46105, 323, 220, 17, 63875, 320, 17, 23, 13, 18, 342, 8, 315, 27815, 38862, 13, 25968, 279, 220, 17, 13966, 304, 264, 2613, 12188, 5476, 13, 5005, 11, 23065, 279, 20980, 220, 19, 12, 20, 3039, 448, 264, 45505, 13, 1446, 686, 1191, 311, 1490, 264, 77769, 9695, 12720, 13, 1446, 646, 990, 264, 9317, 476, 8991, 5476, 421, 498, 6925, 1075, 624, 17, 13, 3719, 19052, 697, 24544, 304, 279, 6291, 369, 220, 17, 12, 18, 4115, 13, 29279, 279, 24544, 525, 6587, 84077, 279, 4453, 882, 13, 18214, 11, 498, 4700, 614, 458, 60337, 4240, 13, 4248, 279, 24544, 1449, 220, 18, 15, 4420, 311, 1490, 429, 807, 3129, 6587, 68875, 304, 279, 6291, 13, 11778, 1105, 700, 315, 279, 20980, 1283, 220, 17, 4115, 311, 2506, 22398, 389, 862, 5098, 13, 1416, 279, 24544, 1513, 1405, 1401, 4240, 1283, 220, 17, 4115, 11, 9214, 1105, 1182, 304, 279, 6291, 323, 3783, 220, 16, 803, 6460, 624, 18, 13, 32134, 392, 279, 24544, 448, 264, 25507, 36061, 13, 10783, 279, 24544, 504, 279, 27815, 38862, 323, 46105, 6291, 1283, 264, 2421, 4115, 13, 5443, 264, 25507, 36061, 311, 44901, 323, 44029, 279, 24544, 11, 12515, 3281, 6529, 311, 7945, 86480, 3304, 5671, 836, 573, 25, 50399, 8463, 264, 501, 11, 8413, 30117, 380, 832, 25507, 36061, 311, 15826, 697, 24544, 323, 387, 2704, 311, 73241, 432, 26364, 3055, 498, 2299, 2814, 624, 19, 13, 57368, 325, 279, 24544, 1212, 9255, 3015, 311, 4057, 48132, 13, 11999, 389, 697, 71453, 323, 1077, 279, 3015, 633, 9255, 13, 5005, 11, 1992, 279, 10058, 1212, 279, 3015, 4269, 323, 73241, 432, 369, 220, 16, 20, 12, 17, 15, 6486, 311, 4057, 279, 46105, 323, 27815, 38862, 48132, 624, 20, 13, 30841, 279, 24544, 448, 264, 8413, 11, 4240, 27292, 13, 5443, 264, 501, 11, 57920, 12577, 6573, 315, 27292, 311, 4057, 894, 9664, 48132, 323, 11522, 279, 24544, 13, 7405, 2704, 311, 18287, 279, 27292, 916, 323, 990, 2176, 11067, 311, 4240, 279, 24544, 13, 18214, 11, 1045, 315, 279, 48132, 1410, 10273, 1182, 8630, 279, 24544, 323, 498, 4700, 614, 311, 1191, 916, 13, 3155, 537, 990, 264, 5567, 42613, 311, 4240, 279, 24544, 11, 438, 419, 1410, 18778, 279, 14961, 909, 307, 498, 1414, 30, 576, 27815, 38862, 323, 46105, 1855, 264, 11483, 12720, 892, 39099, 705, 279, 86480, 812, 323, 28160, 432, 504, 279, 24544, 4192, 565, 2055, 1765, 697, 24544, 304, 12883, 271, 16, 13, 25968, 264, 7722, 12883, 1119, 264, 8991, 476, 19212, 13, 5443, 264, 5792, 11, 650, 56128, 12883, 311, 4240, 3100, 86480, 812, 1007, 315, 697, 24544, 13, 5264, 279, 12883, 323, 8317, 432, 1119, 264, 8991, 476, 19212, 38437, 1172, 1184, 3322, 12883, 311, 3421, 697, 24544, 11, 773, 498, 1231, 537, 1184, 311, 990, 279, 4453, 646, 476, 16486, 624, 17, 13, 2055, 585, 697, 24544, 369, 220, 16, 15, 12, 16, 20, 4420, 13, 10771, 697, 24544, 1119, 279, 8991, 476, 19212, 11, 1221, 738, 264, 9021, 369, 220, 16, 15, 12, 16, 20, 4420, 13, 26530, 697, 24544, 311, 60692, 773, 429, 279, 12883, 702, 882, 311, 4057, 279, 86480, 812, 11824, 2317, 697, 24544, 304, 279, 12883, 369, 5021, 1091, 220, 16, 20, 4420, 2765, 944, 11428, 1105, 11, 714, 432, 594, 537, 5871, 624, 18, 13, 57368, 325, 697, 24544, 448, 8205, 3015, 13, 22749, 279, 24544, 1212, 264, 4269, 315, 4303, 3015, 311, 73241, 1007, 279, 12883, 13, 7405, 2704, 498, 73241, 279, 24544, 26364, 311, 4057, 678, 315, 279, 12883, 70923, 16585, 537, 311, 5943, 279, 24544, 13, 1084, 1231, 387, 264, 1661, 4522, 311, 3265, 279, 23727, 304, 279, 19309, 1101, 304, 1142, 624, 19, 13, 30841, 697, 24544, 1667, 264, 8413, 27292, 13, 5512, 11, 60692, 705, 894, 13623, 3015, 13, 5005, 11, 990, 279, 27292, 311, 33404, 11522, 279, 24544, 311, 4057, 894, 9664, 86480, 812, 13, 4615, 24544, 1265, 1401, 41199, 323, 4240, 27901, 565, 12091, 29464, 22815, 323, 12021, 271, 16, 13, 2691, 220, 16, 13, 20, 25374, 320, 18, 20, 15, 64070, 8, 315, 8205, 3015, 311, 264, 19212, 13, 5443, 264, 28990, 10525, 311, 4914, 279, 4396, 3311, 315, 3015, 1119, 264, 19212, 13, 5443, 8205, 3015, 773, 429, 279, 12021, 686, 803, 6707, 72639, 909, 263, 944, 990, 4017, 3015, 1576, 498, 1513, 944, 1366, 311, 32384, 8231, 6133, 624, 17, 13, 64192, 220, 16, 63875, 320, 16, 22, 342, 8, 315, 12021, 323, 220, 16, 2274, 63875, 320, 16, 20, 64070, 8, 315, 29464, 22815, 1119, 279, 3015, 13, 34104, 700, 279, 4396, 3311, 315, 12021, 323, 29464, 22815, 13, 2691, 1105, 311, 697, 8205, 3015, 11, 1221, 23065, 279, 13966, 3786, 448, 264, 45505, 3080, 279, 12021, 13772, 18186, 27528, 1265, 1172, 1896, 264, 5625, 315, 4420, 311, 6514, 279, 13966, 624, 18, 13, 2691, 659, 20, 25374, 320, 18, 19, 33319, 8, 315, 9058, 14074, 311, 279, 20980, 13, 34104, 700, 279, 9058, 14074, 11, 1221, 13970, 4914, 432, 1119, 279, 19212, 13, 64192, 279, 20980, 448, 264, 45505, 3080, 279, 9058, 14074, 6587, 13772, 18186, 304, 279, 3015, 13, 9646, 279, 3015, 374, 458, 46484, 11, 7473, 7891, 4158, 11, 697, 6291, 374, 5527, 311, 990, 38437, 646, 1430, 3730, 419, 1714, 2041, 279, 14074, 13, 1416, 498, 1513, 944, 1366, 311, 990, 9058, 14074, 11, 23725, 279, 3311, 315, 12021, 323, 29464, 22815, 498, 990, 13, 2691, 220, 18, 63875, 320, 20, 16, 342, 8, 315, 12021, 323, 220, 18, 2274, 63875, 320, 19, 19, 64070, 8, 315, 29464, 22815, 624, 19, 13, 10771, 697, 24544, 304, 279, 6291, 323, 60692, 369, 220, 21, 12, 23, 4115, 13, 38147, 398, 5943, 697, 24544, 1119, 697, 35333, 15826, 6291, 13, 5005, 11, 5274, 1105, 311, 2444, 369, 518, 3245, 220, 21, 12, 23, 4115, 13, 1096, 6696, 279, 6291, 882, 311, 975, 38437, 646, 5274, 1105, 311, 60692, 24398, 369, 458, 4135, 2999, 13, 18214, 11, 738, 264, 9021, 773, 498, 646, 1779, 389, 1105, 304, 220, 21, 12, 23, 4115, 624, 20, 13, 10783, 697, 24544, 323, 73241, 1105, 304, 8205, 3015, 13, 5443, 264, 22435, 476, 1739, 15521, 45505, 311, 17179, 697, 24544, 504, 279, 15826, 6291, 13, 5005, 11, 3331, 697, 24544, 1212, 8205, 4303, 3015, 13, 57368, 325, 697, 24544, 3080, 678, 315, 279, 15826, 6291, 374, 6963, 70923, 16585, 429, 498, 1513, 944, 32384, 5943, 697, 24544, 304, 279, 19309, 13, 1084, 594, 1850, 311, 3265, 279, 23727, 1101, 304, 1142, 624, 21, 13, 30841, 697, 24544, 448, 264, 8413, 27292, 13, 7135, 697, 24544, 9058, 311, 4057, 894, 13623, 31157, 13, 5005, 11, 990, 697, 27292, 311, 11522, 279, 24544, 11, 892, 1265, 4057, 894, 9664, 86480, 812, 13, 4615, 24544, 1265, 1401, 41199, 323, 86480, 812, 12577, 27901, 565, 3651, 10976, 24544, 448, 24649, 46399, 271, 16, 13, 10771, 24649, 46399, 3156, 279, 5622, 323, 11067, 315, 264, 19212, 13, 1446, 646, 990, 264, 12188, 11, 8991, 11, 476, 9317, 19212, 476, 12000, 369, 419, 1882, 13, 35437, 1007, 264, 10834, 315, 24649, 46399, 323, 990, 432, 311, 3421, 279, 4453, 4766, 315, 279, 19212, 13, 2014, 5978, 279, 24649, 46399, 18304, 51023, 11, 15061, 432, 2163, 279, 12822, 315, 279, 19212, 323, 3493, 1495, 31520, 311, 5296, 432, 304, 1992, 624, 17, 13, 21979, 264, 3338, 448, 3015, 323, 4446, 432, 311, 264, 43690, 13, 5443, 3322, 3015, 311, 5155, 279, 12000, 429, 748, 9761, 304, 24649, 46399, 13, 10771, 279, 3338, 389, 279, 44015, 323, 2484, 279, 64719, 311, 1550, 13, 13655, 279, 3338, 389, 279, 44015, 3080, 279, 3015, 4041, 311, 264, 92756, 43690, 13, 576, 24649, 46399, 12000, 3171, 1405, 1184, 311, 387, 429, 2409, 311, 4946, 264, 5625, 315, 24544, 11, 773, 498, 2765, 944, 1184, 264, 2696, 315, 3015, 13, 1634, 264, 1102, 11, 432, 1265, 2525, 311, 264, 43690, 2878, 264, 2421, 4420, 624, 18, 13, 2691, 220, 16, 63875, 320, 16, 19, 13, 18, 342, 8, 315, 27815, 38862, 817, 220, 16, 10525, 320, 17, 19, 15, 64070, 8, 315, 3015, 13, 1416, 498, 3129, 3238, 448, 458, 220, 23, 24596, 320, 17, 18, 15, 342, 8, 5476, 11, 498, 4700, 1172, 1184, 220, 16, 10525, 320, 17, 19, 15, 64070, 8, 315, 3015, 323, 8916, 1172, 220, 16, 61511, 320, 16, 20, 64070, 8, 315, 27815, 38862, 13, 25968, 279, 27815, 38862, 1119, 279, 3015, 323, 23065, 279, 20980, 369, 911, 220, 20, 4420, 13, 576, 6291, 686, 12799, 339, 323, 23611, 264, 2632, 2699, 624, 19, 13, 10224, 279, 24544, 304, 279, 12000, 773, 429, 807, 3129, 30587, 279, 24649, 46399, 13, 2573, 279, 24544, 518, 279, 5622, 315, 279, 12000, 13, 39630, 389, 1246, 1657, 24544, 498, 3129, 4460, 311, 4240, 11, 1045, 315, 279, 24544, 2578, 5796, 705, 2348, 279, 3108, 315, 279, 12000, 13, 1096, 374, 3170, 432, 748, 2989, 311, 614, 279, 11067, 315, 279, 12000, 9761, 304, 24649, 46399, 438, 1632, 13, 6771, 279, 24544, 2444, 389, 1909, 315, 279, 24649, 46399, 369, 220, 20, 4420, 13, 758, 1973, 369, 279, 11483, 12720, 311, 12170, 11, 279, 24544, 1184, 311, 387, 30587, 279, 24649, 46399, 518, 678, 3039, 624, 20, 13, 25968, 279, 6291, 1119, 279, 12000, 311, 60692, 279, 24544, 13, 10783, 279, 20980, 504, 279, 44015, 323, 13970, 4914, 432, 1119, 279, 12000, 13, 41062, 23387, 47332, 82, 323, 4914, 15516, 13, 6771, 279, 24544, 2444, 304, 279, 6291, 369, 220, 16, 15, 4420, 13, 39630, 389, 279, 2188, 315, 86480, 812, 11, 279, 2618, 2578, 387, 2814, 304, 220, 17, 4420, 13, 4248, 697, 24544, 1449, 2421, 4420, 311, 1490, 1246, 1753, 315, 279, 86480, 812, 702, 23704, 1007, 13, 9646, 279, 24544, 1401, 41199, 323, 43361, 11, 498, 646, 4057, 1105, 504, 279, 6291, 448, 259, 13181, 624, 21, 13, 26530, 279, 24544, 311, 9058, 389, 264, 42613, 369, 220, 16, 20, 4420, 13, 11778, 279, 24544, 700, 315, 279, 6291, 323, 2182, 1105, 389, 264, 9780, 42613, 13, 1446, 646, 6248, 45379, 279, 24544, 1007, 553, 83139, 1105, 448, 264, 4240, 11, 4158, 27292, 13, 1096, 1882, 4278, 369, 4113, 429, 748, 1865, 315, 14961, 909, 307, 498, 1414, 30, 576, 24649, 46399, 4278, 448, 279, 6291, 315, 3015, 323, 27815, 38862, 311, 9931, 279, 11483, 12720, 429, 1865, 279, 14961, 86480, 812, 304, 279, 1156, 1992, 4192, 565, 12091, 14961, 44029, 311, 4240, 697, 24544, 271, 16, 13, 10224, 264, 2613, 3311, 315, 44029, 389, 264, 4240, 27292, 13, 1446, 633, 646, 14961, 44029, 518, 697, 2205, 11773, 3553, 476, 3695, 264, 16486, 2860, 13, 328, 19340, 700, 264, 82768, 315, 44029, 323, 10273, 432, 1119, 279, 27292, 13, 1446, 646, 40269, 268, 279, 27292, 421, 498, 6925, 1075, 13, 1446, 646, 633, 264, 16486, 315, 14961, 44029, 369, 1212, 400, 16, 15, 624, 17, 13, 12839, 279, 44029, 304, 458, 705, 9777, 14875, 11379, 13, 4320, 1405, 10273, 279, 44029, 304, 264, 26931, 11379, 13, 1416, 498, 653, 419, 11, 498, 4700, 11167, 279, 65739, 304, 279, 24544, 13, 10771, 697, 19225, 304, 279, 27292, 323, 29273, 10273, 279, 44029, 916, 1817, 949, 315, 697, 24544, 13, 576, 44029, 686, 21725, 279, 86480, 812, 323, 1281, 697, 14961, 24544, 32405, 836, 573, 25, 5443, 264, 4240, 27292, 369, 1817, 10058, 323, 18287, 279, 27292, 916, 979, 498, 1490, 86480, 812, 389, 279, 13055, 311, 5648, 49951, 432, 1182, 311, 279, 14961, 624, 18, 13, 57368, 325, 279, 24544, 323, 9058, 1105, 448, 264, 27292, 13, 6452, 279, 71453, 369, 220, 17, 4420, 773, 429, 279, 3015, 9044, 8205, 13, 9646, 279, 3015, 76562, 705, 11, 1992, 279, 24544, 29356, 279, 71453, 311, 4057, 894, 13623, 44029, 13, 5005, 11, 11522, 279, 24544, 448, 264, 501, 11, 9058, 27292, 311, 633, 279, 32405, 498, 3129, 3330, 369, 13, 9590, 279, 24544, 448, 458, 20006, 27292, 311, 5648, 10687, 279, 86480, 812, 476, 44029, 1182, 389, 279, 24544, 4192, 565, 10167, 4849, 2477, 2371, 301, 25507, 56868, 311, 4240, 697, 24544, 271, 16, 13, 20552, 25507, 56868, 311, 697, 14961, 24544, 13, 10224, 264, 21270, 22288, 315, 25507, 56868, 5961, 389, 279, 14961, 13, 20552, 279, 1852, 3311, 315, 25507, 56868, 498, 1035, 990, 311, 15625, 697, 17832, 13, 1084, 3171, 1405, 4925, 1380, 389, 279, 10058, 498, 2182, 279, 25507, 56868, 1576, 498, 4700, 387, 30035, 432, 41047, 448, 697, 25507, 36061, 51763, 25, 3155, 537, 990, 25507, 56868, 448, 17837, 311, 4240, 697, 24544, 13, 576, 17837, 686, 537, 4240, 279, 24544, 13444, 624, 17, 13, 44856, 264, 25507, 36061, 33404, 323, 15625, 279, 24544, 11, 1221, 39094, 1007, 279, 25507, 56868, 13, 2691, 264, 2421, 21025, 315, 3015, 311, 697, 25507, 36061, 323, 76749, 44901, 279, 25507, 56868, 1119, 279, 24544, 13, 2126, 304, 678, 279, 11045, 311, 5545, 18773, 11, 1741, 438, 894, 662, 35390, 819, 13, 576, 25507, 56868, 686, 21725, 279, 86480, 812, 323, 1281, 697, 14961, 1401, 1661, 438, 501, 13, 5443, 264, 501, 11, 4240, 11, 8413, 30117, 380, 832, 25507, 36061, 369, 419, 2618, 13, 467, 3444, 1007, 894, 13623, 25507, 56868, 448, 264, 9058, 27292, 836, 573, 25, 1416, 697, 24544, 614, 264, 8766, 315, 86480, 812, 389, 1105, 11, 1077, 1105, 2444, 369, 911, 220, 16, 12, 17, 4420, 1573, 24284, 279, 2618, 624, 18, 13, 57368, 325, 279, 9664, 25507, 56868, 1007, 448, 9255, 3015, 323, 9058, 697, 24544, 13, 11999, 389, 697, 71453, 323, 1992, 1817, 10058, 1212, 279, 4303, 3015, 369, 911, 220, 18, 15, 6486, 13, 2823, 2704, 311, 4057, 678, 279, 25507, 56868, 323, 86480, 812, 48132, 198, 197, 9, 7135, 279, 24544, 9058, 448, 264, 27292, 979, 498, 3129, 2814, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 5358, 697, 9378, 504, 18169, 264, 13179, 30, 151645, 198, 151644, 77091, 198, 38, 64487, 646, 387, 264, 1602, 3873, 10173, 389, 264, 9378, 13, 220, 69053, 3545, 1366, 311, 5138, 264, 13179, 1576, 315, 3654, 4714, 1741, 438, 25962, 11, 19005, 11, 73940, 11, 323, 3687, 33353, 13, 1446, 646, 5358, 697, 9378, 504, 18169, 264, 13179, 553, 6731, 911, 279, 14303, 315, 54123, 369, 26202, 11, 7404, 323, 14289, 311, 697, 9378, 11, 323, 3709, 6398, 304, 697, 1828, 3942, 382, 565, 10145, 349, 6133, 271, 16, 13, 14934, 279, 14303, 315, 54123, 13, 2619, 525, 1657, 7966, 3170, 264, 9378, 2578, 5138, 264, 13179, 13, 20909, 279, 4650, 4038, 315, 54123, 369, 26202, 646, 1492, 498, 10542, 421, 697, 9378, 374, 518, 5214, 13, 69053, 2578, 5931, 700, 54123, 369, 264, 8266, 315, 32052, 13, 1416, 697, 9378, 11074, 1075, 458, 74583, 369, 894, 2874, 11, 566, 476, 1340, 1231, 5931, 700, 264, 13179, 369, 264, 5530, 315, 3942, 13, 45147, 7262, 374, 1083, 264, 3598, 8168, 304, 26202, 18169, 54123, 13, 1416, 697, 9378, 702, 4780, 879, 525, 304, 264, 13179, 476, 5815, 448, 825, 11, 697, 9378, 1231, 2908, 18169, 438, 1632, 13, 69053, 1083, 1513, 944, 2677, 13083, 279, 7978, 315, 54123, 13, 576, 4522, 315, 1660, 949, 315, 264, 13179, 2578, 387, 13245, 11, 5310, 421, 697, 9378, 702, 1012, 14900, 311, 2766, 3868, 323, 1008, 3687, 429, 57035, 9606, 13179, 9170, 13, 1416, 697, 9378, 702, 458, 16533, 10502, 17125, 11, 1741, 438, 264, 17294, 19267, 11, 566, 476, 1340, 2578, 5931, 8807, 3305, 1526, 18169, 264, 13179, 624, 17, 13, 32080, 349, 13179, 5702, 304, 697, 3082, 13, 9866, 374, 264, 2409, 5214, 8168, 979, 432, 4041, 311, 697, 9378, 18169, 264, 13179, 13, 2823, 7853, 315, 894, 13179, 5702, 304, 697, 3082, 773, 498, 1414, 1128, 697, 9378, 2578, 387, 14900, 311, 518, 2906, 476, 304, 279, 3942, 13, 1446, 646, 3412, 13179, 5702, 304, 697, 3082, 553, 31321, 4282, 6682, 323, 4282, 821, 2860, 13, 7496, 5671, 614, 264, 4282, 80882, 465, 3910, 1380, 498, 646, 3725, 697, 10308, 2038, 323, 1490, 315, 894, 3213, 37711, 476, 84060, 304, 697, 3082, 13, 18976, 311, 7359, 518, 697, 9378, 594, 2906, 13, 44529, 1127, 323, 2256, 396, 408, 805, 1265, 387, 7853, 421, 1052, 374, 894, 13179, 5702, 30865, 304, 862, 28001, 13, 7405, 458, 17635, 448, 458, 3946, 518, 279, 2906, 323, 2548, 1435, 476, 1059, 911, 13179, 5702, 13, 8999, 1251, 2666, 3654, 10468, 1281, 1105, 22077, 311, 54123, 13, 1416, 498, 3887, 304, 279, 46913, 11, 369, 3110, 11, 498, 2578, 1744, 697, 9378, 374, 22077, 311, 13179, 9170, 13, 4354, 11, 304, 264, 2696, 315, 2409, 9720, 54123, 9583, 3271, 1119, 279, 46913, 13, 758, 279, 10557, 51165, 43943, 7720, 11, 369, 3110, 11, 13179, 5702, 702, 1012, 389, 279, 10000, 304, 279, 1537, 2421, 1635, 13, 2823, 80234, 911, 4650, 13179, 5702, 15484, 315, 697, 3728, 624, 18, 13, 33601, 9538, 551, 6133, 448, 279, 9958, 11929, 697, 9378, 374, 6398, 448, 264, 13179, 13, 7405, 2704, 498, 1414, 279, 18993, 11929, 8826, 13179, 5702, 304, 26202, 13, 1446, 1265, 387, 11658, 421, 697, 9378, 374, 27940, 894, 315, 279, 2701, 11929, 510, 197, 9, 467, 13678, 264, 3654, 1894, 476, 1894, 12859, 14843, 198, 197, 9, 1527, 7172, 2734, 304, 54123, 11, 13179, 3667, 4627, 11, 323, 13179, 3667, 9508, 198, 197, 9, 3240, 351, 3173, 911, 3432, 4780, 304, 54123, 198, 197, 9, 39891, 2114, 448, 11392, 3589, 198, 197, 9, 12091, 1424, 52392, 323, 11929, 311, 19032, 448, 4780, 198, 197, 9, 4598, 46719, 476, 49582, 7709, 1406, 565, 5547, 448, 697, 9378, 271, 16, 13, 18976, 311, 697, 9378, 911, 54123, 13, 11668, 374, 1376, 311, 10282, 697, 9378, 504, 18169, 264, 13179, 13, 11778, 882, 311, 2444, 1495, 323, 3061, 311, 697, 9378, 911, 279, 35964, 315, 54123, 13, 2823, 438, 25790, 438, 3204, 979, 24392, 54123, 448, 697, 26202, 13, 81917, 429, 11, 2805, 4647, 11, 13179, 5702, 646, 2990, 311, 12264, 448, 4282, 11, 12264, 448, 2906, 11, 323, 7852, 11871, 448, 2997, 3613, 13, 5724, 4991, 11, 1281, 2704, 697, 9378, 8788, 13179, 5702, 646, 5358, 1105, 3432, 2615, 311, 6731, 323, 14402, 2606, 11, 882, 304, 17540, 11, 323, 264, 5214, 311, 862, 4345, 7149, 323, 279, 4345, 7149, 315, 862, 2997, 323, 4780, 13, 32149, 438, 1632, 13, 4615, 9378, 1231, 387, 47884, 311, 17585, 476, 1496, 57717, 1128, 498, 2299, 5488, 13, 9735, 311, 3535, 3170, 697, 9378, 374, 69341, 13, 2160, 566, 476, 1340, 1660, 84061, 553, 264, 13179, 30, 2160, 264, 1697, 697, 9378, 5868, 705, 311, 304, 264, 13179, 30, 45451, 279, 7966, 13179, 15871, 374, 32252, 311, 26202, 646, 1492, 498, 2664, 2621, 279, 3491, 624, 17, 13, 13655, 697, 9378, 16634, 304, 1008, 7488, 13, 69053, 3545, 5138, 54123, 369, 264, 5530, 315, 3942, 476, 369, 1045, 27262, 13, 55378, 697, 9378, 438, 16634, 304, 1008, 7488, 438, 3204, 646, 75870, 279, 4038, 315, 54123, 13, 10751, 60040, 697, 9378, 311, 16579, 304, 7488, 429, 14303, 311, 806, 476, 1059, 2734, 13, 2160, 697, 9378, 2677, 25529, 287, 476, 13330, 30, 2925, 1100, 1435, 476, 1059, 304, 1947, 6846, 13, 2160, 697, 9378, 28603, 30, 10751, 60040, 1435, 476, 1059, 311, 5138, 264, 2906, 9833, 2083, 13, 2160, 697, 9378, 8014, 304, 4627, 30, 12748, 304, 264, 26278, 11, 16986, 11, 476, 1008, 17795, 14141, 13, 22950, 697, 9378, 311, 1477, 458, 1283, 2906, 2618, 13, 5976, 1045, 26202, 2578, 22106, 279, 22240, 315, 3238, 11, 45932, 1246, 4752, 264, 975, 64847, 646, 1492, 2937, 389, 13, 18976, 911, 1128, 697, 9378, 1410, 653, 448, 678, 279, 4960, 10164, 3220, 13, 26530, 697, 9378, 311, 614, 4780, 916, 518, 697, 3753, 13, 1446, 1366, 697, 9378, 311, 2666, 1429, 10655, 518, 2114, 11, 1380, 432, 594, 6092, 13, 1096, 1083, 6696, 498, 458, 6638, 311, 633, 311, 1414, 697, 9378, 323, 806, 476, 1059, 25029, 13, 1446, 646, 14907, 87218, 7488, 11, 1075, 4479, 3868, 323, 4231, 8311, 9508, 11, 916, 279, 12829, 315, 7488, 429, 2578, 4268, 697, 9378, 304, 12264, 624, 18, 13, 14934, 1246, 311, 1850, 19032, 448, 264, 9378, 13, 16433, 1095, 448, 31539, 646, 387, 5000, 13, 7496, 26202, 2666, 458, 7172, 1184, 369, 50260, 323, 23665, 11, 892, 3363, 807, 1231, 6815, 3123, 323, 35317, 2348, 498, 13, 4354, 11, 6832, 279, 3363, 311, 13444, 19032, 448, 264, 9378, 646, 1492, 13, 23240, 8844, 2041, 19407, 13, 1416, 697, 9378, 374, 9831, 311, 4332, 2494, 448, 498, 11, 1077, 1435, 476, 1059, 13, 9735, 311, 4717, 19300, 323, 8844, 11, 1496, 421, 697, 11658, 553, 1128, 697, 9378, 374, 5488, 13, 19881, 11, 438, 264, 2681, 498, 2299, 2664, 1007, 10778, 3873, 3669, 1091, 537, 10778, 432, 13, 20690, 95138, 323, 24939, 646, 64987, 697, 9378, 504, 18739, 700, 979, 304, 1184, 13, 77038, 697, 9378, 594, 5530, 315, 12345, 323, 50260, 13, 10878, 498, 15207, 264, 6001, 3491, 11, 2138, 697, 9378, 806, 476, 1059, 1828, 3550, 13, 6771, 1105, 614, 264, 13829, 311, 5577, 13, 3155, 537, 2677, 2548, 879, 697, 9378, 374, 8098, 476, 67994, 389, 279, 4540, 13, 3155, 537, 5796, 697, 9378, 594, 32052, 2041, 7882, 13, 23512, 3039, 311, 3061, 13, 1446, 653, 537, 1184, 311, 9700, 264, 17059, 10435, 11, 714, 3432, 264, 2997, 13856, 3729, 476, 4479, 1809, 3729, 6696, 697, 9378, 279, 6638, 311, 4332, 13, 4509, 533, 311, 2506, 10535, 1787, 323, 2506, 6133, 2500, 979, 697, 9378, 374, 304, 1184, 624, 19, 13, 64547, 6785, 3476, 4119, 369, 697, 9378, 13, 69053, 3545, 5138, 54123, 1576, 807, 2666, 5558, 13, 444, 8985, 6785, 3476, 4119, 11, 264, 9378, 2578, 2484, 311, 279, 87403, 315, 264, 13179, 13, 64547, 6785, 6502, 4119, 369, 697, 9378, 13, 2126, 697, 9378, 6398, 304, 279, 3942, 13, 10751, 60040, 1435, 476, 1059, 311, 25144, 13, 11778, 1435, 476, 1059, 311, 8817, 11, 6290, 13994, 16261, 11, 323, 1008, 7482, 323, 16261, 498, 9417, 13, 69277, 697, 9378, 911, 1251, 498, 49763, 13, 1096, 646, 387, 4325, 498, 1414, 15726, 11, 1075, 697, 2244, 71002, 26412, 879, 7248, 1059, 2997, 2337, 279, 8513, 45804, 13, 1084, 646, 1083, 387, 264, 584, 7071, 11, 1075, 264, 35938, 476, 27841, 13, 70930, 697, 9378, 1128, 498, 4411, 84584, 28500, 34156, 646, 75870, 279, 14303, 315, 13179, 3613, 4192, 565, 64084, 697, 3942, 271, 16, 13, 10783, 13179, 5435, 64843, 13, 39013, 55326, 374, 3545, 264, 1616, 369, 54123, 311, 50836, 323, 20309, 501, 3613, 13, 1416, 498, 5293, 501, 476, 18511, 64843, 304, 697, 3082, 11, 11558, 279, 5335, 311, 1490, 421, 807, 2299, 13179, 36406, 13, 1416, 807, 525, 11, 3061, 311, 279, 2205, 4282, 911, 3432, 1105, 6963, 438, 5135, 438, 3204, 13, 39630, 389, 14305, 304, 697, 3082, 11, 498, 1231, 387, 2952, 311, 4057, 279, 5335, 6133, 476, 9700, 264, 3942, 21290, 13, 14215, 553, 279, 2205, 81032, 323, 2548, 1128, 697, 2606, 525, 304, 3793, 315, 76118, 264, 21290, 624, 17, 13, 7909, 705, 448, 1008, 6562, 13, 576, 17133, 330, 2132, 4990, 264, 14126, 311, 4828, 264, 1682, 1, 6724, 369, 264, 2874, 13, 1446, 4157, 653, 419, 7484, 13, 5547, 448, 1008, 6562, 311, 1936, 264, 16245, 3942, 323, 311, 2506, 700, 54123, 13, 23512, 264, 6438, 448, 1008, 6562, 304, 6290, 311, 4263, 13179, 5702, 304, 697, 3082, 13, 30317, 26413, 6708, 911, 1246, 311, 2506, 697, 26202, 700, 315, 54123, 13, 22150, 3786, 11, 498, 323, 1008, 6562, 646, 1855, 5792, 3942, 4357, 323, 7488, 369, 26202, 311, 16579, 304, 304, 1973, 311, 64987, 1105, 504, 18169, 54123, 13, 1446, 646, 1083, 728, 11, 438, 264, 1874, 11, 311, 264, 393, 15204, 311, 4828, 894, 10520, 498, 614, 911, 13179, 5702, 304, 279, 2906, 1849, 13, 9192, 1119, 5916, 264, 12534, 3736, 311, 2506, 389, 279, 70915, 369, 13179, 5702, 624, 18, 13, 11778, 4948, 1917, 13, 758, 1973, 311, 2621, 13179, 5702, 11, 4948, 1917, 1231, 387, 5871, 13, 73440, 2329, 13324, 9362, 304, 697, 525, 323, 8241, 3942, 46110, 311, 518, 45470, 26202, 1231, 387, 4362, 304, 697, 3082, 13, 5145, 6524, 4378, 323, 4540, 20686, 311, 2205, 3613, 315, 7992, 13, 81917, 3170, 697, 3082, 3880, 1492, 27020, 13179, 9170, 323, 13179, 5702, 13, 54253, 3942, 46110, 304, 697, 3082, 13, 42546, 17526, 13, 11292, 458, 993, 389, 279, 2205, 8887, 13, 8536, 700, 74831, 9942, 518, 3942, 18652, 11, 8682, 11, 29912, 11, 29587, 10533, 11, 323, 1008, 5671, 13, 362, 3175, 1618, 311, 2205, 4282, 911, 13179, 5702, 702, 2632, 2456, 13, 362, 21750, 1874, 5041, 374, 5871, 311, 20100, 9989, 700, 13179, 5702, 304, 697, 3082, 13, 7405, 2704, 1008, 6562, 389, 4479, 448, 7404, 311, 279, 4282, 3786, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 2297, 264, 8781, 389, 264, 16301, 12963, 30, 151645, 198, 151644, 77091, 198, 2753, 4925, 1246, 11872, 476, 11392, 697, 34986, 374, 11, 1052, 686, 2525, 264, 1899, 979, 498, 1184, 311, 5046, 476, 8290, 1181, 8781, 13, 576, 5944, 315, 264, 16301, 12963, 1231, 387, 803, 6351, 1091, 279, 5944, 315, 264, 5792, 12963, 11, 714, 279, 8781, 10018, 1882, 374, 4428, 13, 3085, 279, 1290, 7375, 323, 264, 2632, 2699, 315, 29301, 11, 498, 3278, 614, 264, 501, 8781, 389, 697, 12963, 304, 902, 882, 382, 565, 10783, 279, 8781, 271, 16, 13, 34502, 697, 12963, 13, 1084, 594, 17367, 429, 697, 10323, 2685, 686, 387, 14016, 369, 498, 311, 633, 264, 1661, 1401, 518, 697, 12963, 2041, 432, 15679, 916, 13, 362, 12963, 29659, 429, 702, 29677, 504, 892, 498, 646, 14678, 697, 12963, 4278, 1602, 1632, 11, 714, 498, 646, 1083, 2484, 697, 12963, 35841, 1495, 773, 432, 53231, 389, 279, 10723, 323, 3705, 24950, 13, 9726, 65348, 697, 8781, 448, 697, 12963, 594, 22696, 12880, 43954, 686, 1281, 432, 803, 10655, 369, 498, 311, 24085, 323, 975, 389, 13, 1416, 498, 1513, 944, 614, 264, 29659, 11, 4936, 15651, 697, 12963, 48585, 2348, 264, 7002, 624, 17, 13, 11778, 264, 6802, 315, 279, 8781, 13, 2014, 1281, 279, 312, 80816, 1882, 8661, 11, 1896, 264, 6802, 315, 279, 8781, 773, 498, 646, 8300, 311, 432, 2937, 13, 7405, 2704, 697, 6802, 4933, 1246, 279, 8781, 34396, 1526, 279, 14448, 16953, 624, 18, 13, 4248, 369, 264, 7341, 2656, 13, 362, 7341, 2656, 374, 264, 3281, 2656, 304, 697, 12963, 8781, 429, 702, 264, 8983, 2687, 9184, 6546, 429, 686, 2138, 498, 311, 6707, 4057, 697, 8781, 504, 279, 12963, 13, 9043, 5411, 12829, 315, 7341, 7746, 525, 18213, 327, 323, 20880, 1402, 7420, 2080, 13, 57633, 1380, 697, 7341, 2656, 374, 8305, 315, 882, 686, 1281, 8781, 13723, 728, 60305, 13, 576, 7341, 2656, 369, 264, 12963, 374, 3151, 311, 279, 8781, 1379, 323, 6741, 13, 1416, 697, 12963, 1558, 537, 614, 264, 7341, 2656, 11, 498, 646, 4582, 825, 6133, 476, 614, 432, 2814, 518, 697, 2205, 12963, 8061, 13, 1096, 13713, 374, 5990, 43152, 11, 53724, 911, 400, 16, 20, 304, 1429, 5048, 13, 1416, 697, 12963, 1558, 537, 614, 264, 7341, 2656, 323, 498, 10702, 537, 311, 614, 825, 10275, 11, 1973, 264, 8781, 40224, 311, 4057, 279, 8781, 13, 2379, 2299, 43152, 323, 7565, 9666, 315, 7096, 624, 19, 13, 12380, 697, 8781, 13, 1096, 374, 5310, 2989, 421, 498, 614, 264, 7341, 2656, 13, 66703, 264, 7341, 2656, 429, 594, 34228, 389, 279, 17832, 315, 279, 8781, 10058, 476, 264, 14448, 646, 387, 1602, 5000, 13, 12380, 287, 279, 7341, 2656, 773, 432, 374, 21612, 518, 279, 81963, 1948, 279, 50258, 746, 323, 279, 14639, 13284, 686, 387, 29589, 13, 1416, 498, 525, 1667, 264, 8781, 5392, 11, 498, 646, 2058, 8760, 504, 6169, 8781, 38725, 13, 4329, 5479, 315, 697, 8781, 686, 387, 25284, 1268, 476, 614, 803, 9850, 1091, 3800, 13, 362, 2797, 10238, 315, 8781, 34228, 518, 279, 81963, 1948, 279, 22696, 686, 387, 29589, 311, 4057, 448, 697, 8781, 5392, 624, 20, 13, 10783, 279, 8781, 13, 4695, 429, 279, 8781, 374, 304, 2309, 11, 498, 646, 4057, 432, 13, 1416, 498, 614, 264, 7341, 2656, 11, 990, 7341, 8965, 625, 4813, 476, 697, 6078, 311, 36563, 2176, 10335, 315, 279, 7341, 2656, 304, 4014, 773, 279, 8983, 4041, 700, 315, 1181, 9446, 323, 279, 2656, 4041, 10747, 11, 66717, 697, 8781, 13, 1416, 498, 2299, 1667, 264, 8781, 5392, 510, 197, 9, 2573, 279, 8781, 5392, 389, 279, 2656, 498, 525, 4460, 311, 4057, 773, 432, 5285, 82, 448, 825, 315, 279, 4778, 19766, 311, 2987, 3108, 315, 279, 2656, 13, 72175, 279, 8781, 5392, 773, 432, 10797, 1526, 279, 14178, 13, 1096, 686, 4484, 700, 279, 8983, 429, 374, 10282, 429, 2656, 3786, 13, 9735, 537, 311, 4484, 279, 8983, 6587, 1910, 315, 279, 2656, 13, 1096, 686, 1281, 432, 5000, 11, 476, 304, 1045, 5048, 11997, 11, 311, 312, 69108, 429, 2656, 315, 279, 8781, 13, 1446, 3278, 3545, 2666, 264, 49849, 476, 79789, 979, 279, 8983, 40702, 1910, 315, 279, 2656, 13, 1096, 374, 264, 1661, 20438, 429, 279, 2656, 702, 1012, 827, 826, 3279, 13, 4329, 8781, 7375, 525, 1172, 10602, 369, 3654, 29287, 7746, 11, 3498, 1045, 646, 387, 1483, 389, 3807, 2155, 12282, 315, 8781, 13, 4248, 279, 11221, 389, 697, 8781, 5392, 1573, 1667, 432, 4192, 565, 48384, 697, 501, 8781, 271, 16, 13, 34006, 1667, 4641, 26179, 438, 53055, 13, 81769, 8789, 3690, 1576, 807, 614, 8643, 862, 3930, 476, 1012, 2182, 1212, 2238, 1753, 8464, 13, 1032, 47933, 264, 4641, 8781, 389, 697, 12963, 1410, 1102, 304, 458, 1496, 803, 15386, 7901, 1495, 279, 5636, 13, 2014, 5358, 10895, 311, 6133, 476, 697, 16301, 12963, 11, 498, 1265, 3695, 264, 501, 8781, 4518, 315, 312, 970, 2310, 6174, 13, 37830, 26179, 646, 387, 10788, 518, 697, 2205, 12963, 8061, 476, 11, 304, 1045, 5048, 11, 697, 2205, 11773, 3553, 624, 17, 13, 34104, 697, 13723, 8781, 13, 1084, 594, 2989, 429, 498, 1172, 990, 279, 3093, 315, 8781, 10602, 369, 697, 12963, 13, 1752, 3110, 11, 458, 220, 16, 16, 29599, 12963, 686, 990, 458, 220, 16, 16, 29599, 8781, 13, 40775, 697, 2310, 12963, 8781, 773, 432, 294, 17248, 25580, 323, 653, 279, 1852, 448, 697, 501, 8781, 29388, 279, 2310, 825, 13, 4504, 279, 1372, 315, 7746, 421, 697, 501, 8781, 374, 5021, 1091, 279, 2310, 13, 1096, 686, 387, 279, 1372, 315, 7746, 498, 1184, 311, 4057, 13, 1416, 697, 8781, 702, 47010, 323, 432, 374, 66029, 311, 6629, 697, 501, 8781, 11, 498, 646, 4057, 7746, 1283, 24991, 279, 8781, 1119, 279, 39255, 95416, 315, 697, 12963, 624, 18, 13, 17101, 697, 8781, 1119, 279, 14448, 16953, 13, 1752, 803, 6351, 16301, 12963, 11, 498, 1231, 1184, 311, 8498, 279, 6802, 498, 3867, 315, 1246, 279, 2310, 8781, 34396, 1526, 279, 14448, 16953, 311, 653, 419, 10277, 13, 8993, 23783, 1231, 387, 803, 41679, 13, 31828, 279, 8781, 1526, 279, 4453, 39255, 95416, 3080, 2176, 10335, 29654, 518, 279, 5622, 81963, 1948, 697, 22696, 13, 12380, 287, 279, 10335, 315, 697, 8781, 518, 279, 5622, 81963, 1948, 279, 22696, 315, 697, 12963, 686, 1281, 432, 803, 15614, 323, 2138, 23249, 311, 2506, 279, 8781, 389, 279, 12963, 3080, 498, 646, 9767, 432, 624, 19, 13, 10783, 4960, 7746, 504, 279, 8781, 11, 421, 5871, 13, 1416, 697, 8781, 374, 20174, 11, 498, 3278, 1184, 311, 4057, 1045, 7746, 13, 1096, 374, 4363, 279, 1142, 421, 498, 1033, 537, 2952, 311, 6629, 697, 8781, 13, 26510, 697, 12963, 311, 1181, 15457, 14448, 11, 323, 1221, 990, 697, 8781, 5392, 311, 4057, 7746, 825, 518, 264, 882, 311, 73381, 279, 8781, 3080, 432, 374, 259, 2717, 304, 279, 39255, 95416, 13, 3197, 17592, 4960, 7746, 11, 5648, 49849, 279, 8983, 9963, 1105, 3786, 6587, 1910, 315, 279, 2656, 13, 1096, 686, 1281, 432, 5000, 311, 312, 16330, 279, 2656, 421, 498, 73381, 432, 2238, 1753, 13, 1752, 279, 1850, 11877, 11, 498, 3278, 1184, 279, 8781, 311, 387, 607, 2185, 259, 2717, 398, 1948, 279, 22696, 304, 1181, 15457, 14448, 624, 20, 13, 48384, 279, 20174, 10335, 315, 697, 8781, 13, 3085, 264, 7341, 2656, 11, 678, 498, 1184, 311, 653, 374, 21134, 279, 8983, 315, 279, 2656, 1119, 1181, 9446, 311, 4583, 279, 2656, 13, 1416, 498, 6963, 697, 8781, 448, 264, 8781, 5392, 11, 498, 3278, 614, 311, 312, 1786, 84389, 279, 6718, 2656, 553, 35371, 705, 1181, 74112, 3786, 323, 1667, 264, 6716, 315, 625, 4813, 311, 5344, 279, 8983, 1182, 1526, 279, 14178, 311, 4583, 279, 2656, 13, 1446, 1265, 2666, 264, 4205, 476, 264, 2420, 979, 279, 8983, 315, 264, 7341, 2656, 21521, 1119, 1992, 13, 1446, 646, 1083, 6815, 389, 279, 8781, 311, 2987, 3108, 315, 279, 2656, 311, 51023, 10723, 279, 8983, 315, 279, 7341, 2656, 304, 1992, 624, 21, 13, 3393, 697, 8781, 13, 3321, 2113, 697, 12963, 1182, 389, 1181, 29659, 323, 3271, 279, 86406, 20083, 448, 697, 6078, 311, 1598, 279, 8781, 1526, 279, 39255, 95416, 315, 697, 34986, 13, 576, 8781, 1265, 3271, 38411, 13, 1416, 498, 5293, 30061, 7746, 11, 1493, 525, 3545, 8881, 553, 264, 80358, 50767, 2656, 8983, 11, 323, 646, 387, 8356, 553, 78028, 279, 8983, 448, 697, 8781, 5392, 323, 625, 4813, 13, 41292, 279, 24301, 553, 11699, 389, 279, 60758, 323, 64028, 705, 323, 1495, 264, 2421, 3039, 311, 1273, 697, 8781, 3084, 13, 2014, 6016, 697, 8781, 504, 279, 5424, 323, 311, 1492, 432, 1598, 38411, 304, 697, 6541, 5426, 11, 498, 1265, 53394, 349, 697, 8781, 448, 264, 14452, 34986, 8781, 53394, 517, 4192, 565, 9726, 987, 697, 8781, 369, 9850, 271, 16, 13, 5443, 264, 8781, 9850, 20438, 311, 15442, 697, 8781, 369, 1850, 3059, 13, 1446, 646, 1477, 264, 8781, 9850, 20438, 518, 697, 2205, 12963, 8061, 476, 7196, 1496, 518, 264, 11773, 3553, 13, 1446, 3278, 614, 311, 15498, 279, 20438, 1948, 279, 7746, 315, 697, 8781, 323, 1795, 279, 17961, 389, 432, 311, 14198, 1181, 5290, 13, 7496, 8781, 9850, 33724, 686, 614, 264, 46177, 429, 63564, 279, 2750, 369, 264, 23704, 8781, 323, 458, 15025, 1512, 8781, 13, 1416, 697, 9850, 20438, 1558, 537, 11, 1779, 279, 3745, 432, 3697, 304, 369, 1493, 2750, 13, 1416, 498, 653, 537, 614, 264, 9850, 20438, 11, 498, 646, 2736, 264, 1424, 1779, 315, 279, 8781, 13, 5443, 23193, 7262, 311, 11893, 264, 3772, 315, 697, 8781, 504, 279, 8781, 12640, 315, 697, 12963, 448, 697, 19225, 13, 362, 2613, 12929, 1265, 1352, 1948, 279, 8781, 323, 279, 10058, 13, 1416, 498, 646, 9355, 1490, 1526, 279, 12929, 916, 2326, 476, 3040, 17832, 11, 697, 8781, 374, 23704, 624, 17, 13, 9735, 311, 5138, 279, 10335, 315, 697, 8781, 311, 1273, 369, 9850, 438, 264, 34288, 10555, 13, 1416, 24085, 287, 697, 8781, 448, 264, 9850, 20438, 476, 264, 6961, 12929, 1779, 7629, 944, 458, 2999, 11, 476, 421, 697, 8781, 374, 2669, 1007, 279, 12963, 11, 498, 646, 1083, 1779, 369, 9850, 553, 4460, 311, 5796, 279, 10335, 315, 279, 12963, 8781, 13, 43924, 697, 8781, 389, 264, 4240, 7329, 773, 429, 279, 19766, 304, 279, 8781, 525, 41108, 705, 323, 1495, 13, 5005, 510, 197, 9, 9735, 311, 5796, 279, 10335, 315, 279, 8781, 3786, 1393, 10282, 279, 19766, 12880, 705, 323, 1495, 13, 6065, 882, 11, 26179, 525, 29180, 553, 279, 1917, 315, 697, 30453, 82702, 34977, 13, 7036, 279, 3311, 315, 73729, 5763, 304, 697, 8781, 13, 362, 23704, 8781, 686, 614, 264, 2244, 3484, 5763, 290, 13, 1532, 261, 26179, 22106, 30587, 323, 1172, 15580, 10078, 624, 18, 13, 33601, 9538, 551, 6133, 448, 279, 39255, 95416, 13, 576, 39255, 95416, 315, 697, 12963, 374, 279, 949, 429, 30611, 279, 4802, 498, 2182, 1119, 279, 86406, 1526, 279, 8781, 311, 697, 53160, 311, 3271, 279, 22696, 13, 1446, 3278, 1366, 311, 2291, 4960, 3265, 6529, 311, 1246, 279, 8781, 34396, 1119, 279, 53160, 13, 57633, 1246, 279, 8781, 18304, 304, 279, 16953, 686, 2138, 498, 311, 8290, 432, 448, 7046, 14219, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 10416, 264, 6957, 1803, 30, 151645, 198, 151644, 77091, 198, 13319, 6957, 9331, 653, 537, 6777, 3322, 10416, 311, 4583, 264, 6957, 504, 1191, 311, 6248, 13, 2379, 1969, 470, 311, 279, 19838, 3082, 369, 803, 10416, 11, 892, 374, 16626, 2598, 264, 19838, 2936, 13, 11954, 279, 19838, 2936, 11, 19838, 13627, 3613, 6157, 2182, 501, 30700, 389, 279, 1803, 1393, 10416, 287, 311, 279, 1803, 311, 6248, 279, 6957, 13, 5443, 1493, 10414, 311, 3960, 1246, 311, 10416, 264, 6957, 1803, 382, 565, 4248, 279, 1803, 2053, 4000, 2635, 271, 16, 13, 4248, 279, 5666, 315, 279, 6006, 389, 279, 2053, 78997, 2635, 1573, 279, 1803, 10901, 279, 19838, 311, 3725, 279, 6957, 13, 7405, 2704, 429, 279, 2053, 78997, 6006, 15885, 38411, 323, 33250, 31520, 624, 17, 13, 7405, 2704, 429, 279, 10416, 5395, 13647, 374, 650, 674, 1235, 291, 13, 1374, 19991, 279, 8568, 315, 279, 10416, 5395, 13647, 369, 1508, 19657, 13, 12023, 894, 1508, 19657, 504, 279, 10416, 5395, 13647, 624, 18, 13, 9590, 279, 8568, 315, 279, 10416, 5395, 13647, 13, 467, 3444, 432, 448, 264, 4240, 11, 9058, 27292, 13, 1096, 686, 5358, 894, 7214, 32055, 504, 1660, 40223, 1495, 1119, 279, 10416, 5395, 13647, 438, 279, 10416, 374, 2182, 1119, 279, 13647, 624, 19, 13, 33563, 429, 10416, 374, 2500, 369, 2053, 78997, 13, 7405, 2704, 429, 220, 17, 10416, 9691, 646, 9303, 315, 8311, 1379, 323, 943, 369, 279, 6957, 1803, 525, 10199, 448, 279, 943, 315, 10416, 2567, 553, 279, 6957, 1803, 624, 20, 13, 31166, 323, 9767, 279, 10416, 9691, 646, 9303, 13, 7405, 2704, 429, 279, 220, 17, 10199, 10416, 9691, 646, 9303, 525, 5527, 304, 279, 19277, 3143, 279, 19838, 3082, 13, 29279, 429, 279, 10416, 9691, 646, 9303, 525, 26430, 304, 68344, 476, 553, 18131, 1495, 48249, 773, 429, 279, 646, 9303, 646, 537, 387, 32384, 31985, 916, 624, 21, 13, 4371, 6276, 220, 17, 19838, 13627, 3613, 448, 3940, 28119, 17438, 13, 3776, 315, 279, 19838, 13627, 3613, 686, 10416, 279, 1803, 11, 1393, 279, 1008, 686, 6777, 279, 2086, 10416, 9691, 646, 1571, 323, 458, 11792, 10416, 16484, 2287, 7215, 4192, 565, 25001, 279, 2053, 4000, 271, 16, 13, 2126, 1119, 2309, 369, 279, 29947, 19838, 2936, 13, 12243, 220, 16, 13627, 4462, 3735, 705, 279, 1156, 10416, 9691, 646, 1571, 13, 12243, 264, 2086, 13627, 4462, 3735, 705, 279, 2086, 10416, 9691, 646, 1571, 323, 279, 10416, 16484, 2287, 7215, 624, 17, 13, 48384, 279, 1156, 10416, 2053, 9400, 646, 1571, 13, 1634, 279, 6957, 1803, 4041, 311, 264, 2936, 304, 279, 19838, 11, 1787, 279, 6006, 389, 279, 2053, 78997, 2635, 13, 17101, 279, 81881, 315, 279, 1156, 10416, 9691, 646, 1571, 1119, 279, 10416, 5395, 13647, 323, 42199, 279, 10416, 9691, 646, 1571, 311, 2138, 279, 10416, 311, 6396, 700, 13, 22749, 279, 10416, 9691, 646, 1571, 518, 911, 264, 220, 21, 15, 37675, 9210, 624, 18, 13, 20930, 16484, 10416, 504, 279, 1156, 10416, 646, 1571, 13, 576, 13627, 4462, 448, 279, 10416, 16484, 2287, 7215, 1969, 738, 1495, 279, 10416, 9691, 646, 1571, 429, 572, 11691, 700, 11, 323, 1992, 279, 10416, 16484, 2287, 7215, 311, 2287, 10416, 916, 38140, 624, 19, 13, 48384, 279, 2086, 2053, 78997, 646, 1571, 13, 3197, 279, 1156, 10416, 9691, 646, 1571, 374, 4287, 11, 6815, 432, 700, 315, 279, 10416, 5395, 13647, 323, 738, 432, 1495, 3123, 504, 279, 6957, 1803, 13, 19725, 705, 279, 2086, 10416, 9691, 646, 1571, 11, 5656, 279, 81881, 315, 279, 646, 1571, 1119, 279, 10416, 5395, 13647, 11, 323, 42199, 279, 646, 1571, 311, 264, 220, 21, 15, 37675, 9210, 624, 20, 13, 20930, 16484, 10416, 504, 279, 2086, 10416, 646, 1571, 13, 5443, 279, 10416, 16484, 2287, 7215, 311, 2287, 10416, 429, 916, 38140, 624, 21, 13, 18608, 279, 10416, 287, 13, 3197, 279, 2086, 10416, 9691, 646, 1571, 374, 4287, 11, 6815, 432, 700, 315, 279, 10416, 5395, 13647, 13, 13032, 279, 6006, 389, 279, 2053, 78997, 2635, 624, 22, 13, 12023, 279, 19838, 3082, 13, 576, 220, 17, 13627, 3613, 12233, 3940, 28119, 17438, 1969, 1896, 279, 220, 17, 4287, 10416, 646, 9303, 323, 279, 10416, 16484, 2287, 7215, 1182, 1119, 279, 19277, 3082, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 9245, 264, 220, 24, 15, 12348, 9210, 1667, 23721, 323, 47980, 30, 151645, 198, 151644, 77091, 198, 76913, 498, 525, 2567, 311, 9245, 1045, 25941, 2041, 1667, 264, 462, 54766, 13, 576, 2701, 4226, 32892, 498, 1246, 311, 4038, 264, 220, 24, 15, 12348, 9210, 1667, 264, 23721, 323, 264, 47980, 382, 565, 2411, 279, 835, 315, 264, 1555, 10238, 271, 16, 13, 4389, 279, 11936, 315, 697, 9210, 12379, 389, 279, 5567, 13, 6771, 601, 829, 419, 1459, 438, 386, 624, 17, 13, 11992, 264, 18299, 34995, 11, 32359, 304, 894, 5106, 323, 315, 894, 3084, 13, 1096, 686, 387, 825, 315, 279, 11715, 315, 1039, 9210, 624, 18, 13, 10771, 11552, 315, 279, 23721, 389, 1459, 386, 323, 4038, 264, 12671, 14376, 279, 18299, 34995, 518, 1045, 1459, 320, 36790, 393, 4292, 19, 13, 13655, 279, 2374, 315, 279, 23721, 279, 1852, 13, 5005, 1992, 1181, 11552, 389, 393, 323, 4038, 458, 15580, 14376, 279, 12671, 518, 1045, 1459, 320, 36790, 1207, 4292, 20, 13, 13655, 279, 2374, 315, 279, 23721, 279, 1852, 13, 10771, 1181, 11552, 389, 1207, 323, 4038, 2441, 15580, 14376, 279, 12671, 518, 2441, 1459, 320, 36790, 431, 4292, 21, 13, 13655, 279, 11552, 315, 279, 23721, 2058, 389, 1207, 13, 11992, 2441, 15580, 14696, 4889, 279, 12671, 13, 1752, 15331, 700, 419, 3019, 11, 498, 646, 738, 279, 2374, 315, 279, 23721, 311, 894, 6629, 624, 22, 13, 13655, 279, 1852, 2374, 315, 279, 23721, 320, 300, 738, 304, 279, 3681, 3019, 568, 4695, 1992, 1181, 11552, 389, 431, 323, 4038, 2441, 15580, 892, 15104, 279, 15580, 14764, 304, 279, 3681, 3019, 518, 1045, 1459, 320, 36790, 328, 4292, 23, 13, 13015, 279, 3501, 386, 323, 328, 448, 264, 7678, 1555, 13, 70083, 432, 311, 1352, 264, 18299, 19614, 13, 576, 6629, 315, 279, 9210, 46414, 45, 374, 220, 24, 15, 4192, 565, 16904, 279, 6149, 315, 264, 1555, 10238, 271, 16, 13, 11992, 264, 7678, 1555, 13, 1913, 264, 6573, 315, 5567, 11, 4038, 264, 1555, 10238, 315, 894, 16710, 3084, 13, 7405, 432, 16202, 369, 279, 24483, 315, 38975, 11, 714, 432, 1410, 387, 518, 894, 9210, 13, 9402, 279, 1555, 10238, 14137, 624, 17, 13, 19725, 894, 1459, 389, 14137, 13, 4389, 432, 11, 323, 2383, 432, 506, 13, 506, 646, 387, 12379, 389, 279, 1555, 10238, 11, 2670, 518, 2987, 835, 1459, 320, 32, 476, 425, 568, 1752, 19132, 11, 1077, 594, 2182, 506, 14696, 3143, 279, 6149, 315, 14137, 13, 576, 1555, 10238, 1410, 1431, 387, 13862, 311, 438, 362, 20608, 624, 18, 13, 36194, 264, 23721, 13, 5264, 279, 23721, 311, 264, 10578, 264, 2632, 23327, 1091, 2987, 65269, 476, 43173, 13, 4695, 1992, 279, 23721, 1459, 518, 506, 13, 35378, 2805, 66750, 1526, 14137, 389, 2987, 3108, 315, 506, 13, 576, 1378, 66750, 1265, 614, 279, 1852, 10578, 13, 9402, 1846, 1378, 3501, 315, 19246, 356, 323, 422, 13, 4695, 279, 1555, 10238, 1410, 387, 13862, 311, 438, 10584, 65196, 624, 19, 13, 35378, 1378, 803, 66750, 13, 10771, 279, 23721, 1459, 518, 356, 11, 323, 13169, 458, 15580, 311, 825, 3108, 315, 279, 1555, 10238, 13, 5005, 1992, 279, 23721, 1459, 518, 422, 11, 323, 13169, 264, 2086, 15580, 315, 279, 1852, 10578, 323, 389, 279, 1852, 3108, 315, 279, 1555, 10238, 13, 7405, 2704, 1846, 1378, 66750, 31796, 13, 7143, 429, 1459, 315, 19246, 468, 624, 20, 13, 11992, 279, 220, 24, 15, 11616, 9210, 13, 11992, 264, 7678, 1555, 504, 468, 311, 506, 13, 7083, 10238, 92526, 7586, 264, 220, 24, 15, 11616, 9210, 448, 1555, 10238, 14137, 13, 1084, 3520, 7586, 1378, 220, 24, 15, 11616, 25941, 518, 506, 13, 1416, 498, 1033, 311, 13036, 92526, 7797, 14137, 11, 498, 1035, 1352, 3040, 220, 24, 15, 11616, 25941, 518, 506, 68928, 429, 498, 646, 4038, 264, 220, 24, 15, 11616, 9210, 518, 2987, 835, 315, 1555, 10238, 14137, 421, 498, 1366, 311, 320, 258, 1008, 4244, 518, 1459, 362, 476, 1459, 425, 568, 28424, 13036, 14137, 7797, 362, 476, 7797, 425, 11, 323, 1221, 1795, 279, 3403, 7354, 13, 5126, 362, 320, 269, 1459, 425, 8, 1035, 8683, 438, 1459, 506, 304, 279, 3403, 11221, 13, 1096, 374, 15791, 279, 1852, 1714, 14766, 304, 2585, 311, 18678, 264, 3616, 68551, 7083, 311, 264, 16246, 7083, 16904, 5126, 389, 279, 7083, 11, 6730, 220, 17, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1281, 922, 78994, 5141, 54957, 30, 151645, 198, 151644, 77091, 198, 2183, 78994, 5141, 54957, 40700, 5297, 5141, 54957, 60160, 448, 922, 78994, 13, 1416, 498, 1366, 264, 13041, 1717, 2319, 1365, 892, 3171, 1405, 1373, 855, 22471, 10746, 279, 922, 78994, 476, 23880, 1365, 3387, 369, 279, 35481, 5141, 54957, 11, 448, 10780, 53951, 287, 47151, 11, 67698, 323, 37327, 304, 264, 2518, 19187, 13, 576, 67698, 323, 16158, 2319, 702, 4428, 13966, 11, 714, 374, 10030, 21303, 13, 576, 922, 78994, 374, 96039, 291, 11, 60408, 323, 65085, 1156, 11, 323, 279, 59299, 525, 822, 1070, 291, 389, 279, 357, 859, 295, 453, 1573, 27815, 279, 5141, 54957, 13, 25995, 2987, 5141, 54957, 448, 264, 53328, 42350, 11, 323, 8683, 23880, 323, 85821, 16002, 389, 279, 3108, 382, 565, 52074, 35481, 5141, 54957, 271, 16, 13, 63997, 23880, 1393, 279, 23387, 855, 383, 1862, 13, 4968, 19963, 279, 23387, 311, 220, 18, 22, 20, 36286, 37, 320, 16, 24, 16, 36286, 34, 568, 5443, 264, 3460, 96287, 21430, 311, 22120, 279, 47151, 13, 56645, 279, 44597, 803, 60702, 1091, 279, 47151, 624, 17, 13, 7083, 264, 2816, 1475, 272, 33758, 1263, 12000, 448, 59299, 323, 922, 78994, 13, 60561, 279, 12000, 79120, 448, 33457, 5590, 17233, 22899, 13, 10771, 279, 67698, 11, 47151, 323, 44597, 1119, 279, 12000, 13, 15515, 35144, 279, 650, 98697, 922, 78994, 389, 1909, 624, 18, 13, 19219, 705, 279, 89115, 5059, 304, 264, 11051, 19212, 13, 46812, 279, 89115, 5059, 19187, 448, 279, 35481, 44893, 11, 45622, 323, 29950, 22193, 17163, 11, 14811, 86219, 11, 30635, 16723, 11, 9396, 12021, 323, 4910, 24353, 13, 1446, 646, 990, 220, 16, 4, 45622, 17163, 323, 2480, 63254, 29950, 22193, 17163, 11, 476, 3387, 369, 8820, 943, 498, 1075, 315, 1817, 624, 19, 13, 46812, 279, 89115, 5059, 448, 279, 8794, 315, 279, 272, 33758, 1263, 12000, 13, 25968, 279, 89115, 5059, 20980, 916, 279, 59299, 323, 922, 78994, 13, 19219, 678, 315, 279, 13966, 3786, 448, 264, 3460, 45505, 13, 29279, 429, 279, 19187, 20980, 10008, 14521, 279, 1008, 13966, 624, 20, 13, 52074, 279, 9761, 272, 33758, 1263, 369, 825, 6460, 13, 17757, 279, 12000, 448, 24790, 46399, 13, 4636, 220, 18, 15, 4420, 11, 4057, 279, 5141, 54957, 323, 23065, 432, 13, 29558, 279, 46399, 3421, 323, 2182, 279, 12000, 1182, 304, 279, 23387, 369, 2441, 220, 18, 15, 4420, 13, 2411, 279, 41336, 1868, 11, 432, 748, 4622, 369, 279, 12000, 311, 4994, 264, 2699, 29025, 722, 624, 21, 13, 2691, 279, 89671, 323, 4296, 369, 1378, 4420, 13, 40580, 47615, 40513, 323, 74120, 4544, 95882, 311, 279, 1909, 315, 279, 5141, 54957, 13, 29558, 279, 24790, 46399, 13, 4636, 17233, 11, 1077, 279, 12000, 7010, 369, 911, 5779, 4420, 1573, 13480, 432, 624, 22, 13, 74158, 349, 476, 29930, 92167, 13, 9129, 279, 5141, 54957, 304, 458, 3720, 10296, 5476, 13, 74158, 349, 369, 705, 311, 4236, 2849, 13, 1416, 42218, 11, 2138, 279, 5141, 54957, 311, 7010, 6587, 1156, 13, 6771, 432, 85378, 304, 279, 44944, 24398, 1573, 312, 37335, 1095, 13, 9735, 264, 8991, 4510, 37539, 12000, 369, 29377, 367, 13, 9735, 264, 43790, 24649, 272, 33758, 1263, 12000, 369, 42218, 13, 2691, 264, 10834, 315, 12188, 15061, 389, 1909, 315, 279, 5141, 54957, 323, 4484, 678, 315, 279, 3720, 700, 1573, 41195, 279, 4361, 12000, 304, 24790, 46399, 4192, 565, 7405, 67698, 323, 16158, 5141, 54957, 271, 16, 13, 2516, 321, 279, 922, 78994, 304, 264, 2613, 3338, 13, 2691, 96039, 291, 323, 60408, 922, 78994, 311, 264, 3338, 448, 220, 16, 26062, 25374, 320, 18, 20, 15, 15739, 8, 315, 3015, 13, 39124, 279, 8794, 311, 264, 43690, 916, 1550, 8628, 13, 11999, 279, 8628, 311, 3347, 323, 2182, 264, 26334, 389, 279, 3338, 13, 15003, 17233, 369, 911, 62260, 4420, 13, 10783, 279, 3338, 504, 8628, 323, 1077, 432, 2444, 11, 9761, 11, 369, 4236, 4420, 13, 2988, 1362, 279, 29105, 922, 78994, 448, 264, 22435, 13, 576, 922, 78994, 374, 8060, 17233, 979, 279, 14473, 702, 678, 1012, 41001, 624, 17, 13, 15854, 1070, 68, 37327, 11, 30635, 323, 47151, 13, 26070, 32113, 5590, 916, 11051, 8628, 304, 264, 3460, 19187, 848, 13, 25968, 304, 279, 23880, 13, 12514, 369, 4236, 4420, 11, 53954, 22930, 11, 3080, 279, 23880, 525, 27582, 323, 279, 44597, 525, 84264, 624, 18, 13, 12514, 4910, 16158, 448, 279, 59299, 13, 6065, 3347, 311, 11051, 8628, 11, 4296, 279, 16158, 369, 4743, 311, 8094, 4420, 304, 448, 279, 37327, 11, 30635, 323, 57366, 498, 1101, 822, 1070, 291, 13, 5443, 264, 62883, 5607, 476, 22360, 45505, 311, 1438, 705, 279, 13041, 438, 432, 72427, 11, 3080, 432, 374, 902, 5021, 18217, 624, 19, 13, 2691, 67698, 11, 40513, 323, 3200, 819, 13, 2691, 67698, 311, 279, 19187, 848, 323, 4296, 432, 369, 1378, 4420, 11, 53954, 34511, 11, 3080, 279, 67698, 10901, 74496, 13, 19219, 304, 40513, 11, 67086, 11, 12021, 11, 2518, 24353, 11, 297, 1580, 5652, 323, 13163, 13, 39124, 279, 20980, 311, 264, 61815, 323, 4296, 369, 911, 5779, 4420, 11, 3080, 279, 20980, 12045, 724, 13, 10783, 504, 8628, 13, 576, 20980, 1969, 387, 12045, 11, 537, 1598, 3834, 11, 369, 279, 5141, 54957, 311, 738, 10277, 624, 20, 13, 46812, 922, 78994, 11, 17163, 323, 19187, 438, 279, 23387, 855, 383, 1862, 13, 4968, 19963, 279, 23387, 311, 220, 18, 22, 20, 36286, 37, 320, 16, 24, 16, 36286, 34, 568, 2691, 279, 922, 78994, 11, 29950, 22193, 323, 220, 16, 14, 17, 10525, 320, 24, 20, 342, 8, 315, 96176, 4544, 95882, 1119, 279, 19187, 20980, 323, 11555, 432, 304, 11, 1221, 6514, 1632, 13, 25968, 279, 20980, 1119, 264, 27815, 12000, 13, 1446, 646, 990, 264, 220, 24, 854, 320, 17, 18, 9961, 8, 856, 220, 16, 18, 854, 320, 18, 18, 9961, 8, 23387, 55119, 272, 33758, 1263, 12000, 624, 21, 13, 2691, 279, 60276, 311, 279, 5141, 54957, 13, 50725, 279, 1909, 315, 279, 5141, 54957, 448, 264, 62883, 5607, 13, 15515, 35144, 279, 2732, 315, 279, 4544, 95882, 389, 1909, 304, 264, 3175, 6193, 13, 25968, 279, 55644, 62424, 323, 85566, 389, 1909, 624, 22, 13, 52074, 279, 5141, 54957, 369, 220, 18, 15, 12, 18, 20, 4420, 13, 26530, 432, 311, 7010, 369, 518, 3245, 4236, 4420, 1573, 498, 8683, 432, 13, 576, 5141, 54957, 374, 2814, 979, 279, 1909, 374, 77769, 9695, 323, 33404, 13876, 291, 13, 1416, 498, 1366, 432, 59275, 1194, 11, 498, 646, 2182, 432, 1212, 279, 27625, 369, 911, 264, 9383, 518, 279, 835, 624, 23, 13, 74158, 349, 476, 29930, 92167, 13, 9129, 697, 5141, 54957, 304, 458, 3720, 10296, 5476, 13, 74158, 349, 279, 5141, 54957, 369, 705, 311, 4236, 2849, 13, 1416, 498, 1366, 311, 29930, 432, 11, 2138, 279, 5141, 54957, 311, 7010, 11368, 1156, 13, 26530, 432, 85378, 304, 279, 44944, 24398, 1573, 312, 37335, 1095, 13, 1752, 3110, 11, 498, 646, 29377, 349, 279, 5141, 54957, 304, 264, 8991, 4510, 37539, 12000, 448, 264, 26334, 13, 1752, 2867, 11, 1992, 279, 5141, 54957, 304, 264, 43790, 272, 33758, 1263, 12000, 13, 2691, 264, 10834, 315, 12188, 15061, 389, 1909, 11, 1221, 4484, 678, 315, 279, 3720, 700, 13, 42187, 279, 4453, 12000, 304, 46399, 11, 323, 29930, 4192, 565, 1198, 500, 3819, 922, 78994, 5141, 54957, 271, 16, 13, 52932, 279, 5141, 54957, 448, 23880, 13, 2691, 37425, 7722, 67086, 311, 279, 1909, 315, 279, 5141, 54957, 11, 476, 7722, 67086, 10901, 389, 279, 3108, 315, 279, 11968, 13, 52932, 264, 50149, 32466, 11, 4087, 3606, 23880, 11, 476, 53562, 23880, 16263, 279, 5141, 54957, 13, 1752, 3110, 11, 12045, 398, 1331, 74630, 11, 29105, 1147, 85570, 5780, 1632, 448, 922, 78994, 5141, 54957, 13, 52932, 29105, 67698, 11, 476, 7722, 67698, 438, 264, 3108, 32466, 13, 7405, 10226, 34167, 11, 892, 728, 1632, 448, 922, 78994, 5141, 54957, 624, 17, 13, 52932, 53328, 46397, 13, 3731, 19187, 5780, 1632, 448, 264, 8991, 315, 2518, 13078, 13, 1416, 498, 10702, 4158, 11, 3387, 369, 2494, 41854, 323, 9058, 13, 6944, 2606, 525, 2477, 18779, 44394, 12883, 11, 476, 63512, 3015, 448, 296, 84101, 41293, 13, 9735, 264, 2518, 13078, 504, 18070, 15344, 11, 1741, 438, 504, 350, 25034, 3767, 13, 13293, 2999, 374, 264, 3100, 55854, 68083, 2518, 13078, 13, 9735, 264, 4158, 13078, 1075, 17471, 354, 2825, 343, 815, 476, 6250, 29680, 52401, 624, 18, 13, 52932, 12045, 11, 39612, 88, 16002, 448, 85821, 5590, 389, 279, 3108, 13, 46812, 32113, 5590, 448, 29464, 22815, 11, 96176, 55644, 62424, 17163, 11, 323, 31620, 41293, 14, 16798, 819, 11, 311, 12656, 13, 1752, 3110, 11, 1430, 220, 16, 14, 19, 10525, 320, 21, 15, 15739, 8, 32113, 5590, 11, 264, 72481, 315, 29464, 22815, 11, 323, 264, 41284, 320, 19, 342, 8, 315, 55644, 62424, 13, 36134, 700, 264, 2613, 84847, 1365, 220, 16, 14, 17, 41284, 320, 17, 342, 8, 476, 2686, 1365, 1817, 315, 31620, 67086, 11, 87521, 11, 270, 30118, 11, 297, 1580, 5652, 11, 3691, 24353, 11, 16009, 1534, 11, 12021, 11, 323, 2518, 24353, 13, 19219, 304, 220, 16, 14, 17, 41284, 320, 17, 342, 8, 315, 93827, 30635, 11, 421, 12685, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1414, 1128, 311, 6757, 369, 70583, 14810, 30, 151645, 198, 151644, 77091, 198, 33, 370, 1047, 14810, 374, 264, 2244, 1616, 311, 7232, 3220, 323, 633, 3139, 4633, 2453, 315, 2841, 11, 714, 47209, 700, 1246, 1753, 311, 6757, 369, 697, 882, 646, 387, 33453, 13, 8999, 70583, 28063, 1513, 1405, 614, 1753, 975, 3139, 11, 323, 807, 2666, 3873, 10161, 369, 3220, 13, 19881, 11, 697, 882, 374, 15172, 323, 498, 22695, 311, 387, 7171, 14138, 0, 19037, 700, 264, 1661, 2331, 4379, 553, 7404, 448, 70583, 28063, 323, 6562, 304, 697, 3082, 13, 1446, 646, 1083, 990, 458, 2860, 70583, 14810, 4379, 29952, 13, 5005, 6757, 803, 3118, 389, 1246, 1657, 2841, 498, 3129, 11699, 11, 862, 3880, 11, 697, 7361, 11, 323, 697, 17903, 7049, 382, 565, 2573, 264, 2331, 4379, 271, 16, 13, 20437, 1008, 70583, 28063, 498, 1414, 1128, 807, 6757, 13, 1416, 498, 1414, 21061, 770, 879, 70583, 1199, 11, 2548, 1105, 1128, 807, 6757, 13, 9646, 498, 614, 5248, 17979, 11, 498, 646, 1490, 1128, 279, 5461, 374, 13, 8704, 807, 3887, 304, 697, 3082, 11, 807, 4700, 1414, 1128, 264, 13276, 4379, 374, 369, 1380, 498, 3887, 13, 33396, 5671, 614, 1602, 2155, 7813, 11, 11649, 389, 1128, 1251, 748, 5461, 7911, 374, 13, 20437, 264, 12357, 70583, 3248, 11, 1036, 40, 4249, 264, 501, 70583, 3248, 323, 1079, 4460, 311, 7071, 700, 1128, 311, 6757, 13, 358, 572, 20293, 1246, 1753, 498, 6757, 817, 6460, 12390, 198, 197, 9, 17121, 9720, 323, 862, 46913, 8789, 2291, 5080, 7813, 1091, 2613, 24824, 13, 758, 1532, 4261, 4311, 323, 444, 875, 2572, 274, 28063, 6757, 911, 400, 17, 15, 458, 6460, 11, 1393, 304, 16003, 323, 10557, 807, 6757, 400, 16, 20, 624, 17, 13, 5443, 458, 2860, 4379, 29952, 13, 576, 7602, 702, 264, 2696, 315, 70583, 14810, 4379, 5812, 2973, 429, 2138, 498, 311, 2182, 304, 697, 10308, 2038, 323, 1246, 1657, 1635, 315, 70583, 14810, 3139, 498, 614, 13, 1084, 686, 11047, 279, 5461, 4379, 13, 3776, 3110, 374, 3703, 1110, 2136, 520, 546, 905, 3470, 370, 1047, 14810, 3795, 973, 624, 18, 13, 20437, 6562, 498, 1414, 1128, 807, 2291, 369, 70583, 28063, 13, 20437, 21789, 12598, 304, 697, 3082, 1246, 1753, 807, 2291, 862, 70583, 28063, 13, 1096, 686, 1492, 498, 633, 458, 4522, 315, 1246, 1753, 1251, 525, 9831, 311, 2291, 13, 9646, 498, 614, 458, 4522, 11, 29614, 432, 311, 697, 2943, 11, 323, 1490, 421, 807, 1744, 432, 748, 6624, 13, 13655, 304, 3971, 429, 6562, 686, 2291, 803, 817, 6460, 369, 264, 14988, 98257, 1091, 369, 264, 33168, 70583, 3248, 13, 42926, 686, 1083, 2291, 21303, 369, 2480, 7246, 70583, 14810, 1091, 369, 27861, 21461, 476, 37002, 624, 19, 13, 9192, 705, 1128, 279, 8028, 19062, 374, 304, 697, 3082, 13, 24599, 1657, 70583, 28063, 24729, 369, 2686, 1091, 8028, 19062, 1576, 807, 3129, 537, 2704, 1128, 432, 374, 11, 476, 1576, 279, 2618, 374, 2686, 3946, 1091, 6887, 429, 1373, 975, 28690, 13, 92888, 323, 9720, 11047, 279, 8028, 19062, 3118, 389, 1128, 807, 1744, 374, 264, 6624, 3311, 311, 2968, 4325, 369, 458, 6460, 315, 862, 882, 11, 773, 498, 1265, 6757, 518, 3245, 429, 13, 1416, 498, 3129, 87012, 311, 975, 518, 264, 5792, 2618, 476, 525, 46657, 11, 498, 1265, 2058, 2548, 369, 279, 8028, 19062, 13, 1446, 22695, 311, 387, 7171, 14138, 4192, 565, 39633, 697, 2331, 4379, 271, 16, 13, 39633, 697, 4379, 979, 498, 8722, 3139, 323, 42684, 13, 576, 803, 70583, 14810, 3139, 498, 614, 11, 279, 803, 25530, 323, 14988, 498, 525, 13, 7281, 11, 279, 9014, 498, 525, 11, 279, 803, 498, 646, 6757, 13, 39633, 697, 4379, 979, 498, 1494, 2409, 68276, 1075, 55917, 6149, 2906, 476, 1550, 2906, 13, 36795, 803, 421, 498, 614, 4960, 7361, 11, 1075, 76798, 27606, 476, 3113, 61375, 3139, 624, 17, 13, 36795, 803, 421, 1052, 525, 803, 2841, 13, 9646, 498, 3982, 22378, 389, 264, 13276, 2331, 4379, 11, 6757, 803, 3220, 320, 36760, 220, 20, 11192, 803, 817, 6460, 8, 369, 1817, 5107, 1682, 498, 3129, 4588, 311, 1401, 1283, 13, 68576, 220, 16, 476, 220, 17, 2841, 374, 1602, 2155, 504, 10099, 220, 20, 2841, 11, 773, 1281, 2704, 498, 3129, 10655, 448, 432, 1573, 5488, 9834, 311, 279, 2618, 13, 7281, 11, 2908, 10161, 697, 2943, 421, 498, 646, 4446, 264, 1062, 1455, 370, 1047, 3248, 3156, 448, 498, 369, 3460, 5203, 315, 2841, 13, 576, 2943, 1265, 2291, 2176, 70583, 28063, 264, 13276, 4379, 369, 419, 311, 387, 264, 6624, 3484, 624, 18, 13, 36795, 803, 369, 3281, 3880, 323, 7361, 13, 1416, 279, 1682, 498, 3129, 1660, 4588, 311, 3736, 374, 458, 30283, 879, 7460, 6783, 37117, 11, 75753, 10018, 11, 323, 26376, 11, 498, 646, 6757, 803, 1091, 421, 498, 3129, 10099, 264, 220, 16, 15, 1042, 2310, 13, 1416, 279, 1682, 702, 3281, 3880, 476, 374, 7945, 435, 2969, 19931, 1223, 476, 5000, 311, 10091, 11, 498, 1265, 1083, 6757, 803, 11, 1576, 498, 686, 614, 27076, 7361, 311, 1896, 2453, 315, 1105, 13, 24498, 279, 3349, 498, 1744, 374, 6624, 12831, 279, 3311, 315, 6961, 323, 14269, 4802, 429, 5780, 1119, 29498, 369, 429, 1682, 624, 19, 13, 39633, 697, 4379, 421, 807, 2548, 498, 311, 653, 4960, 81469, 13, 1446, 1265, 2666, 1910, 311, 6757, 803, 421, 697, 2943, 17064, 498, 311, 653, 13732, 81469, 1075, 40971, 11, 296, 7008, 11, 25779, 11, 34089, 11, 29587, 11919, 11, 323, 17233, 13, 1446, 646, 1083, 6757, 803, 421, 807, 2548, 498, 311, 2453, 369, 862, 25103, 476, 1492, 862, 2841, 448, 862, 28459, 13, 576, 803, 9079, 807, 2548, 498, 311, 653, 4889, 315, 1101, 10099, 862, 1682, 11, 279, 803, 498, 646, 6757, 369, 697, 46629, 4379, 624, 20, 13, 37729, 304, 17903, 13, 1416, 498, 614, 311, 5821, 264, 1293, 882, 311, 633, 311, 697, 70583, 14810, 2618, 11, 498, 1265, 6757, 369, 697, 58163, 13, 18976, 311, 697, 2943, 911, 5510, 311, 653, 419, 13, 1446, 646, 2924, 697, 58163, 7246, 304, 279, 3311, 315, 882, 498, 3129, 65882, 369, 13, 13293, 1616, 374, 311, 614, 697, 2943, 2291, 369, 697, 6819, 3220, 476, 697, 5828, 14403, 11, 11649, 389, 1246, 498, 525, 3709, 1052, 13, 1416, 498, 614, 311, 12963, 476, 4227, 311, 697, 70583, 14810, 2618, 304, 279, 6319, 11, 1281, 2704, 498, 2666, 6092, 13, 18214, 11, 498, 1265, 25066, 279, 2618, 11, 476, 2548, 369, 2155, 4115, 13, 4320, 1405, 4193, 264, 11877, 504, 458, 49283, 70583, 14810, 2943, 13, 1084, 1231, 537, 387, 6092, 624, 21, 13, 20437, 369, 803, 8160, 369, 70583, 14810, 389, 24421, 13, 1416, 697, 2943, 17064, 498, 311, 975, 389, 10074, 11, 38769, 748, 6059, 11, 1532, 9742, 748, 31360, 11, 476, 1045, 1008, 3281, 13101, 11, 498, 1265, 6757, 803, 13, 5512, 315, 678, 11, 498, 3129, 7086, 705, 3432, 264, 2464, 882, 11, 323, 498, 1265, 1172, 653, 429, 369, 279, 2409, 47334, 13, 1597, 2086, 398, 11, 279, 2943, 686, 387, 9831, 311, 2291, 803, 11, 1576, 432, 748, 2588, 311, 1477, 274, 28063, 389, 21461, 1075, 429, 13, 1913, 279, 1008, 1424, 11, 421, 498, 3129, 70583, 14810, 304, 279, 6149, 315, 264, 7270, 13354, 11, 498, 4700, 4658, 633, 2686, 3220, 1091, 70583, 14810, 389, 264, 7728, 3729, 11, 979, 697, 8239, 1366, 311, 728, 389, 264, 2400, 3729, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 14501, 697, 922, 7664, 320, 446, 14666, 74569, 11843, 151645, 198, 151644, 77091, 198, 785, 29136, 74569, 525, 264, 1874, 315, 3040, 23648, 429, 1598, 1495, 697, 59511, 13, 47775, 1832, 1449, 28603, 5702, 476, 10158, 68489, 697, 922, 7664, 11, 773, 432, 594, 2989, 369, 1105, 311, 387, 18776, 323, 3746, 13, 2014, 10306, 9314, 922, 7664, 11, 14501, 1105, 1573, 323, 1283, 10158, 13, 1446, 646, 1083, 990, 26011, 311, 5263, 279, 24177, 304, 697, 922, 7664, 11, 892, 646, 1281, 1105, 2686, 36997, 311, 10895, 382, 565, 45763, 705, 697, 922, 7664, 271, 16, 13, 12554, 476, 12963, 369, 220, 16, 15, 311, 220, 16, 20, 4420, 13, 362, 21700, 31744, 10158, 1741, 438, 11435, 476, 66080, 686, 633, 279, 6543, 35512, 311, 697, 922, 7664, 323, 1281, 41849, 803, 10655, 13, 60105, 287, 9255, 23648, 1410, 1102, 304, 10895, 13, 1416, 498, 2299, 9115, 389, 50482, 4889, 304, 35821, 9104, 11, 912, 220, 20, 311, 220, 16, 15, 4420, 311, 697, 8205, 5239, 882, 1573, 498, 1191, 41849, 624, 17, 13, 3155, 11259, 27082, 49599, 1573, 264, 1293, 1598, 13, 5542, 264, 11259, 2309, 448, 697, 30524, 3786, 11, 11893, 825, 4478, 323, 33377, 432, 448, 697, 1424, 13, 479, 4402, 3493, 697, 4478, 6974, 697, 2770, 2095, 3080, 498, 2666, 264, 14501, 3156, 279, 4065, 315, 697, 38671, 13, 22749, 369, 220, 16, 15, 311, 220, 17, 15, 6486, 11, 1221, 13153, 448, 279, 1008, 4478, 13, 1096, 14501, 646, 387, 2814, 2176, 1573, 323, 1283, 264, 1293, 1598, 476, 1008, 6961, 5702, 11, 438, 949, 315, 697, 8205, 5239, 476, 7010, 14875, 13, 1446, 646, 1083, 653, 419, 14501, 1393, 20446, 389, 825, 3108, 13, 69206, 697, 6200, 311, 2506, 697, 34676, 304, 17189, 323, 1492, 69136, 697, 11814, 2682, 624, 18, 13, 2691, 99015, 49599, 311, 2169, 922, 7664, 323, 18143, 5763, 1087, 13, 730, 811, 301, 389, 279, 6422, 389, 825, 21381, 13, 1446, 1231, 1366, 311, 2732, 697, 21381, 389, 264, 47035, 42613, 476, 5517, 13, 62106, 4637, 10078, 11, 448, 697, 1008, 4478, 10063, 389, 279, 6422, 323, 697, 30524, 518, 1290, 25941, 13, 62106, 4637, 11, 59406, 697, 6200, 323, 279, 2770, 1070, 315, 279, 99015, 2472, 13, 1634, 498, 56659, 1574, 11, 6407, 697, 2487, 4637, 311, 14501, 697, 27082, 323, 1008, 18143, 5763, 269, 23648, 13, 1446, 646, 2732, 697, 6078, 389, 697, 4065, 38671, 369, 8172, 323, 19753, 13, 22749, 279, 14501, 369, 264, 220, 16, 20, 12, 19, 15, 6486, 11, 1221, 3398, 323, 13153, 279, 14501, 448, 279, 1008, 2472, 13, 13655, 697, 34676, 20628, 323, 697, 8416, 2487, 47278, 7678, 13, 1446, 1083, 1366, 311, 5648, 5325, 287, 11, 51562, 11, 476, 51039, 6019, 697, 4722, 1182, 476, 22266, 1182, 2348, 279, 15651, 624, 19, 13, 5443, 20622, 288, 369, 8741, 41849, 13, 15577, 448, 697, 7541, 264, 2632, 21864, 1091, 16882, 9347, 10747, 323, 3019, 825, 4478, 4637, 13, 27536, 697, 2487, 553, 57118, 518, 279, 30524, 3080, 279, 1182, 21381, 374, 7009, 518, 279, 6422, 13, 4615, 4065, 21381, 1265, 387, 304, 1555, 448, 697, 38348, 773, 429, 697, 76011, 374, 76833, 311, 279, 6422, 13, 42546, 705, 323, 13153, 448, 279, 1008, 3108, 13, 1446, 646, 653, 264, 4013, 315, 20622, 288, 1380, 498, 26024, 3271, 4637, 11, 476, 498, 646, 4717, 304, 279, 1852, 1992, 13, 5145, 448, 220, 17, 7289, 315, 220, 16, 15, 84966, 389, 1817, 2472, 13, 1416, 498, 614, 12264, 43363, 323, 2666, 289, 20415, 398, 11, 1992, 697, 6078, 389, 697, 42423, 476, 13036, 1105, 700, 311, 1352, 264, 350, 7514, 2027, 4192, 565, 60105, 10296, 476, 5811, 552, 922, 7664, 271, 16, 13, 5443, 4541, 2088, 315, 11379, 22932, 311, 10306, 21381, 30039, 13, 2014, 4583, 419, 14501, 11, 36820, 323, 7678, 268, 697, 21381, 1526, 1181, 2480, 2088, 315, 11379, 11, 476, 438, 3041, 438, 498, 646, 728, 2041, 43676, 13, 1446, 646, 653, 419, 14501, 1393, 11259, 11, 11699, 11, 476, 20446, 1495, 13, 22201, 279, 2309, 429, 5707, 498, 279, 1429, 19753, 323, 6147, 498, 311, 3271, 697, 21381, 279, 1429, 13, 1096, 14501, 374, 1850, 5135, 1283, 458, 10895, 11, 979, 697, 7203, 1231, 387, 518, 1181, 1429, 7199, 13, 9735, 311, 4583, 220, 16, 15, 84966, 448, 1817, 2472, 11, 714, 1513, 944, 916, 2982, 432, 13, 14215, 421, 498, 2666, 6646, 624, 17, 13, 7379, 264, 8263, 369, 27879, 27082, 49599, 13, 20988, 11259, 11, 11699, 11, 476, 47420, 5740, 11, 614, 697, 8263, 33377, 697, 38348, 476, 4478, 13, 4615, 8263, 686, 13970, 36820, 323, 7678, 268, 697, 21381, 1526, 1181, 2480, 2088, 315, 11379, 13, 3197, 697, 21381, 374, 7225, 29180, 11, 614, 1105, 3331, 279, 14501, 369, 264, 2421, 6486, 1573, 13970, 7218, 697, 4478, 1182, 1495, 13, 71589, 27082, 49599, 525, 264, 1661, 1616, 311, 14501, 697, 922, 7664, 421, 498, 1513, 944, 614, 279, 2524, 4362, 311, 653, 11259, 27082, 49599, 389, 697, 1828, 13, 1416, 498, 2299, 2952, 311, 3271, 389, 697, 1828, 11, 27879, 27082, 49599, 1231, 387, 315, 2632, 8760, 311, 498, 13, 30866, 374, 1376, 448, 27879, 41849, 13, 4320, 944, 1077, 697, 8263, 4484, 697, 2472, 311, 279, 1459, 429, 498, 2666, 6646, 304, 279, 15747, 13, 1096, 1410, 2990, 311, 5107, 55736, 476, 312, 3419, 41761, 624, 18, 13, 6512, 19155, 10296, 2090, 448, 279, 26148, 14501, 13, 730, 811, 301, 448, 825, 21381, 389, 279, 4910, 304, 4065, 315, 264, 26148, 13, 69206, 279, 4478, 315, 697, 99015, 2472, 389, 279, 3108, 315, 279, 26148, 13, 4615, 1008, 2472, 1265, 387, 7678, 700, 304, 4065, 315, 498, 448, 697, 21381, 518, 264, 1290, 9210, 323, 697, 76011, 76833, 311, 279, 4910, 13, 22950, 697, 42423, 27555, 438, 498, 3493, 697, 9226, 34328, 6974, 697, 2770, 1070, 13, 1446, 646, 1992, 697, 6078, 389, 697, 4065, 21381, 369, 8172, 13, 22749, 279, 14501, 369, 264, 2421, 6486, 476, 11486, 24484, 11, 1221, 4879, 323, 13153, 279, 14501, 448, 279, 1008, 2472, 13, 758, 5256, 311, 264, 26148, 11, 498, 646, 1083, 990, 264, 7002, 476, 3347, 13425, 311, 15651, 697, 4478, 2348, 624, 19, 13, 39633, 19753, 323, 2524, 448, 1026, 482, 8167, 1862, 13, 1446, 686, 1184, 264, 19753, 4935, 369, 419, 10158, 13, 28408, 389, 279, 4935, 11, 1221, 4227, 697, 7541, 4637, 438, 498, 26024, 15651, 1182, 518, 279, 1852, 882, 13, 3197, 498, 525, 20446, 3579, 705, 11, 6502, 4637, 323, 2138, 697, 30524, 311, 3271, 916, 697, 44613, 3080, 697, 30524, 525, 7225, 5763, 291, 13, 5005, 5116, 697, 922, 7664, 323, 6502, 1182, 3080, 697, 30524, 525, 518, 220, 24, 15, 37675, 25941, 13, 9735, 311, 653, 220, 16, 15, 84966, 315, 419, 10158, 13, 8278, 728, 438, 3041, 438, 498, 646, 2041, 6646, 476, 43676, 4192, 565, 64084, 27082, 24177, 271, 16, 13, 17287, 268, 697, 922, 7664, 448, 279, 45758, 1168, 326, 13884, 13, 5542, 264, 11259, 2309, 11, 3019, 825, 4478, 4637, 323, 11555, 916, 773, 429, 697, 6078, 525, 389, 2987, 3108, 315, 697, 4478, 13, 4615, 4065, 21381, 1265, 387, 518, 264, 1290, 9210, 448, 697, 76011, 76833, 311, 279, 6422, 13, 42546, 705, 389, 458, 59437, 1574, 11, 40971, 697, 11715, 700, 311, 279, 3108, 323, 31015, 13, 27536, 697, 42423, 323, 3493, 44478, 1119, 279, 326, 13884, 11, 41849, 323, 3084, 6019, 697, 922, 7664, 13, 425, 1222, 383, 17247, 323, 3331, 279, 326, 13884, 369, 220, 18, 15, 6486, 311, 264, 9383, 13, 2014, 633, 700, 315, 279, 17040, 11, 4722, 697, 6078, 916, 697, 4065, 2472, 323, 1221, 4227, 476, 7784, 697, 4065, 2472, 1182, 311, 3367, 279, 1008, 2472, 13, 1446, 646, 4828, 697, 42423, 1119, 44478, 12880, 5562, 421, 498, 1075, 11, 1221, 4227, 476, 7784, 279, 1008, 2472, 311, 279, 4065, 323, 13153, 279, 326, 13884, 389, 279, 1008, 3108, 624, 17, 13, 27536, 1119, 11821, 17040, 13, 730, 811, 301, 389, 279, 6422, 11, 30587, 697, 9179, 30524, 3786, 13, 4615, 7541, 1265, 387, 10078, 21864, 1091, 697, 42423, 448, 279, 32422, 315, 697, 7541, 389, 279, 6422, 13, 1374, 71, 1574, 323, 4722, 697, 42423, 8630, 279, 6422, 1948, 697, 7541, 3080, 697, 96935, 14553, 525, 40119, 44669, 389, 279, 6422, 13, 62106, 4637, 10078, 438, 498, 4722, 11, 10840, 3173, 697, 56849, 1119, 279, 27578, 315, 697, 30524, 13, 425, 1222, 383, 17247, 11, 8266, 279, 14501, 304, 697, 922, 7664, 11, 369, 220, 18, 15, 6486, 311, 264, 9383, 13, 5264, 697, 26906, 323, 5943, 697, 16882, 41642, 1495, 16263, 697, 34676, 13, 1416, 498, 646, 944, 2444, 44669, 389, 279, 6422, 304, 419, 2309, 11, 1992, 264, 2504, 311, 2444, 389, 11, 476, 6502, 705, 264, 38039, 476, 42613, 624, 18, 13, 60105, 697, 59511, 323, 6200, 448, 15273, 17040, 13, 21491, 3579, 14875, 389, 697, 5517, 448, 697, 11715, 553, 697, 11067, 11, 74718, 705, 13, 1913, 458, 56659, 1574, 11, 36820, 697, 30524, 323, 4828, 697, 7541, 6974, 697, 96935, 14553, 13, 49842, 1182, 323, 11633, 2987, 697, 89613, 476, 279, 32422, 315, 697, 7541, 323, 6815, 1105, 4637, 13, 1634, 498, 59437, 1574, 11, 11893, 697, 7541, 6974, 279, 22170, 438, 498, 4828, 697, 59511, 1007, 279, 6422, 13, 11427, 43561, 646, 387, 5000, 304, 419, 2309, 11, 714, 35396, 4637, 323, 5244, 389, 25938, 438, 17247, 438, 498, 646, 13, 22749, 279, 17040, 369, 220, 17, 15, 311, 220, 18, 15, 6486, 11, 1221, 13970, 4879, 311, 10962, 1182, 1495, 13, 1446, 646, 990, 264, 47035, 38039, 311, 11016, 697, 55149, 323, 42423, 311, 1281, 279, 17040, 803, 10655, 624, 19, 13, 5264, 697, 18143, 5763, 1087, 448, 92544, 17040, 13, 5145, 389, 678, 89620, 448, 697, 30524, 3685, 697, 42423, 323, 85778, 3685, 697, 26906, 13, 43364, 697, 1290, 21381, 4637, 311, 279, 1182, 315, 697, 1290, 32171, 438, 498, 6815, 697, 4478, 2163, 311, 279, 2115, 3108, 13, 576, 3108, 315, 697, 1290, 76011, 1265, 387, 20446, 389, 279, 5517, 76833, 311, 697, 63200, 13, 5005, 14983, 697, 2115, 2472, 1182, 3080, 432, 374, 10063, 389, 279, 6422, 13, 1374, 71, 1574, 323, 4828, 705, 773, 498, 525, 304, 264, 11699, 2309, 448, 697, 1290, 2472, 27031, 304, 4065, 315, 498, 323, 697, 2115, 2472, 32359, 28412, 13, 22749, 279, 17040, 369, 220, 18, 15, 6486, 311, 264, 9383, 11, 25938, 17247, 13, 5005, 470, 311, 678, 89620, 323, 13153, 448, 697, 2115, 2472, 304, 4065, 323, 697, 1290, 2472, 11577, 4815, 498, 13, 2619, 525, 1657, 26244, 311, 419, 17040, 13, 1752, 3110, 11, 1430, 44742, 916, 697, 4065, 2472, 323, 40119, 697, 15138, 323, 51254, 389, 279, 5517, 369, 264, 803, 18894, 18143, 35153, 13, 1752, 264, 2167, 5538, 27082, 14501, 11, 4828, 697, 1182, 4478, 6974, 697, 96935, 14553, 13, 36194, 697, 1182, 4478, 476, 38348, 448, 697, 1424, 323, 3493, 432, 6974, 697, 96935, 14553, 311, 4623, 91692, 279, 14501, 624, 20, 13, 47738, 1119, 49152, 17040, 13, 730, 811, 301, 448, 697, 14201, 911, 18143, 9347, 10747, 13, 758, 71, 1574, 323, 4038, 697, 80912, 6974, 1817, 1008, 4815, 697, 2487, 11, 10693, 697, 57544, 372, 311, 11893, 323, 697, 20131, 35360, 311, 9225, 13, 8445, 697, 6078, 1119, 697, 33360, 11, 20337, 279, 32410, 304, 697, 57544, 372, 323, 10282, 697, 26906, 1182, 13, 22749, 279, 14501, 369, 220, 18, 15, 6486, 311, 264, 9383, 11, 25938, 17247, 13, 34006, 76780, 697, 2770, 2095, 13, 68154, 17040, 8609, 3084, 268, 323, 7269, 24177, 304, 697, 18143, 5763, 1087, 323, 8416, 922, 7664, 13, 1416, 432, 374, 2238, 1753, 315, 264, 8645, 369, 498, 311, 5545, 697, 33360, 11, 498, 2578, 1992, 264, 2504, 1948, 697, 7541, 476, 15651, 1182, 916, 458, 10158, 4935, 624, 21, 13, 70083, 697, 1182, 65, 408, 448, 2632, 36843, 52433, 17040, 13, 9646, 498, 2299, 10655, 304, 49152, 17040, 11, 1896, 432, 264, 3019, 4623, 553, 45201, 697, 1968, 3080, 279, 26533, 315, 697, 1968, 53231, 1948, 697, 7541, 13, 49842, 697, 11715, 4637, 311, 33377, 697, 4722, 59511, 13, 22749, 279, 17040, 369, 220, 18, 15, 6486, 311, 264, 9383, 11, 25938, 17247, 13, 2014, 2525, 700, 315, 279, 17040, 11, 16579, 279, 6200, 323, 13970, 6502, 6133, 1182, 705, 311, 264, 99015, 2309, 13, 13655, 697, 2770, 2095, 8413, 311, 5648, 13623, 7262, 389, 697, 4722, 1182, 13, 1096, 17040, 15885, 705, 697, 42423, 323, 922, 7664, 13, 576, 6588, 315, 32410, 705, 448, 697, 15138, 438, 498, 4722, 697, 63200, 28412, 374, 458, 18894, 25242, 369, 697, 59511, 624, 22, 13, 9063, 304, 1682, 594, 17040, 13, 16377, 304, 264, 99015, 2309, 11, 8865, 697, 30524, 10078, 323, 4446, 697, 2409, 44613, 3786, 13, 1913, 458, 56659, 1574, 11, 11555, 916, 697, 59511, 11, 32359, 697, 11715, 700, 31015, 323, 40119, 697, 51254, 389, 279, 6422, 13, 425, 1222, 383, 17247, 304, 419, 2309, 369, 438, 1293, 438, 498, 1366, 13, 758, 5256, 311, 1660, 264, 33848, 1616, 311, 835, 697, 6588, 11, 1682, 594, 17040, 1083, 4278, 438, 264, 1661, 5546, 2268, 960, 1283, 1182, 65, 1412, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 3484, 448, 22982, 315, 264, 8848, 50715, 19267, 304, 264, 1682, 30, 151645, 198, 151644, 77091, 198, 13319, 1251, 614, 6617, 315, 6285, 27339, 13, 1988, 1052, 525, 11499, 315, 1008, 50715, 23741, 264, 1682, 646, 614, 11, 1657, 315, 892, 525, 28604, 304, 1172, 264, 2421, 2841, 11, 476, 1231, 1496, 387, 4911, 311, 429, 1682, 382, 565, 2126, 1995, 271, 16, 13, 14934, 911, 55004, 13, 7496, 1251, 614, 220, 19, 21, 82081, 11, 27802, 304, 220, 17, 18, 13530, 13, 3776, 6716, 374, 279, 1839, 82081, 11, 892, 304, 24037, 374, 5990, 57319, 323, 304, 27485, 29288, 13, 576, 1008, 220, 17, 17, 13530, 11, 3881, 438, 46872, 20347, 11, 525, 48826, 553, 1379, 11, 448, 50715, 220, 16, 1660, 279, 8538, 13, 8886, 50715, 702, 264, 5021, 6773, 11, 2598, 279, 2804, 6773, 11, 323, 264, 23327, 6773, 11, 2598, 279, 281, 6773, 13, 8886, 6773, 702, 20892, 429, 525, 48826, 11, 448, 279, 7055, 18093, 311, 279, 6149, 320, 1168, 441, 485, 8, 1660, 48826, 220, 16, 16, 13, 16, 13, 10127, 38365, 320, 8676, 6758, 311, 330, 465, 899, 19257, 311, 264, 11552, 315, 264, 50715, 13, 362, 330, 36327, 1, 50715, 19267, 374, 537, 18582, 26, 432, 1101, 17601, 279, 10204, 355, 13, 14934, 911, 279, 4494, 315, 4344, 13, 18084, 285, 5533, 3363, 429, 1052, 525, 7168, 10993, 315, 264, 50715, 13, 1581, 52625, 14, 1645, 436, 5533, 3363, 429, 1052, 374, 1172, 825, 2975, 315, 279, 50715, 476, 6573, 315, 50715, 13, 50283, 1693, 21485, 285, 5533, 3363, 429, 1052, 525, 220, 18, 10993, 13, 49762, 12784, 5533, 323, 20189, 300, 5533, 8300, 311, 220, 19, 323, 220, 20, 10993, 11, 15576, 13, 4058, 31309, 525, 979, 82081, 14291, 3684, 13, 1416, 432, 374, 23831, 11, 419, 3363, 279, 1852, 1372, 315, 10993, 315, 3684, 374, 3042, 11, 714, 807, 525, 27802, 21303, 481, 369, 3110, 807, 614, 949, 315, 220, 18, 80, 389, 220, 17, 80, 323, 949, 315, 220, 17, 80, 389, 220, 18, 80, 11, 714, 432, 678, 11367, 705, 311, 279, 1852, 3166, 13, 1416, 432, 374, 650, 58402, 11, 279, 1682, 702, 489, 285, 5533, 323, 5144, 1615, 436, 5533, 369, 1045, 949, 315, 279, 6398, 82081, 13, 15308, 3545, 11, 458, 650, 58402, 1356, 2527, 374, 26990, 504, 264, 2681, 448, 264, 23831, 1356, 2527, 11, 714, 432, 646, 1083, 12170, 438, 264, 501, 26374, 11, 892, 374, 2598, 364, 450, 38323, 4427, 1752, 3110, 11, 807, 1231, 614, 949, 315, 220, 17, 80, 7402, 323, 949, 315, 220, 18, 80, 304, 1181, 1992, 11, 14381, 7130, 1615, 436, 5533, 315, 220, 17, 80, 323, 7130, 489, 285, 5533, 315, 220, 18, 80, 13, 758, 458, 650, 58402, 1356, 2527, 11, 279, 34563, 50715, 374, 2598, 279, 31805, 50715, 11, 476, 2694, 369, 2805, 13, 2055, 807, 1231, 3270, 259, 7, 17, 26, 18, 8, 1107, 7, 17, 8, 311, 13216, 279, 1682, 702, 279, 220, 17, 448, 50715, 220, 18, 3684, 4518, 315, 279, 220, 18, 448, 50715, 220, 17, 3684, 624, 17, 13, 7379, 6457, 1995, 389, 697, 1682, 594, 2971, 13, 2619, 1231, 537, 387, 1753, 700, 1052, 11, 714, 1477, 1128, 498, 646, 11, 1576, 432, 646, 2968, 498, 458, 4522, 1128, 311, 1720, 369, 697, 1682, 13, 2823, 16585, 311, 2291, 6529, 311, 1128, 3151, 50715, 5537, 374, 11495, 11, 2670, 1128, 20892, 525, 6398, 481, 1496, 3498, 807, 2176, 614, 220, 17, 17, 80, 36066, 11, 6837, 448, 220, 17, 17, 80, 16, 16, 36066, 614, 264, 12473, 2155, 27339, 504, 220, 17, 17, 80, 16, 18, 36066, 13, 7281, 2506, 304, 3971, 66533, 21485, 285, 5533, 19041, 36066, 14, 1645, 436, 5533, 11, 1576, 1493, 525, 18929, 7922, 3611, 13, 3197, 5290, 6457, 1142, 7822, 11, 6099, 429, 807, 5244, 389, 279, 8225, 13, 1446, 2299, 4658, 537, 2087, 311, 6723, 279, 10668, 3061, 911, 1246, 10226, 323, 29498, 279, 1682, 374, 11, 476, 1246, 1753, 862, 6562, 2666, 17605, 369, 14063, 1105, 11, 1576, 432, 594, 537, 77169, 9760, 13, 1446, 686, 3960, 911, 1045, 315, 279, 2820, 5322, 697, 10369, 1410, 3579, 624, 18, 13, 3496, 421, 6562, 614, 5326, 911, 697, 1682, 594, 2971, 13, 39630, 389, 1246, 8848, 279, 2971, 374, 11, 1052, 1231, 387, 1008, 6562, 700, 1052, 879, 614, 5326, 911, 1128, 432, 374, 1075, 311, 4828, 264, 1682, 879, 702, 432, 624, 19, 13, 9192, 369, 12598, 448, 697, 1682, 594, 2971, 13, 8999, 12598, 448, 18929, 35701, 525, 2952, 311, 990, 18495, 979, 807, 3635, 12598, 13, 3155, 894, 315, 1105, 614, 25659, 476, 3590, 3687, 9618, 30, 2379, 1231, 387, 2952, 311, 3010, 1661, 9462, 13, 5692, 525, 1045, 7567, 315, 6832, 504, 12598, 448, 35701, 510, 197, 9, 2379, 646, 3291, 498, 911, 279, 47958, 14830, 429, 1521, 323, 3207, 944, 1492, 13, 2379, 1231, 387, 2952, 311, 3010, 11682, 9462, 911, 697, 1682, 13, 68576, 1105, 646, 1492, 498, 47046, 1128, 697, 1682, 594, 2272, 686, 387, 1075, 53008, 4192, 565, 24946, 271, 16, 13, 4320, 944, 9658, 279, 11785, 13, 8999, 16026, 11, 979, 807, 1513, 944, 1414, 279, 94250, 369, 264, 2971, 11, 686, 1160, 1075, 432, 594, 803, 15386, 1091, 432, 2167, 374, 13, 7418, 6562, 315, 6837, 448, 1602, 23034, 50715, 23741, 614, 1012, 3229, 862, 1682, 686, 2581, 4227, 476, 3061, 323, 5144, 686, 2746, 304, 85517, 13, 1416, 697, 1682, 702, 264, 8848, 27339, 11, 1896, 13207, 62803, 19696, 448, 264, 23925, 315, 12021, 624, 17, 13, 66875, 551, 429, 85517, 374, 279, 11785, 882, 13, 1752, 1657, 21372, 95008, 4682, 11, 279, 1156, 1042, 476, 1378, 315, 2272, 525, 279, 36454, 11, 438, 73640, 323, 18478, 12565, 1430, 311, 7071, 700, 279, 1682, 594, 3880, 13, 1084, 2765, 944, 2677, 387, 419, 3873, 11, 323, 432, 594, 4363, 311, 633, 8661, 13, 1416, 498, 3003, 1012, 3229, 429, 697, 1682, 1231, 2746, 11, 15282, 429, 14226, 4124, 4545, 5990, 8573, 304, 279, 1156, 220, 18, 1635, 315, 2272, 11, 476, 537, 518, 678, 13, 1416, 697, 1682, 374, 6915, 518, 4231, 220, 19, 11, 807, 3278, 4658, 387, 6915, 518, 4231, 220, 17, 19, 323, 4231, 220, 19, 19, 624, 18, 13, 20678, 6133, 882, 311, 1882, 13, 1446, 1231, 2666, 264, 2088, 315, 21261, 438, 498, 13083, 429, 697, 1682, 594, 2272, 686, 1401, 2155, 1091, 498, 3381, 432, 1035, 13, 1096, 374, 4622, 13, 4320, 944, 1720, 6133, 311, 7500, 7069, 624, 19, 13, 24647, 1008, 1251, 1246, 807, 646, 1824, 498, 13, 8853, 2163, 498, 1231, 1366, 311, 1492, 11, 714, 537, 1414, 1128, 807, 646, 653, 13, 6771, 1105, 1414, 1128, 697, 2997, 3880, 11, 323, 2968, 1105, 279, 6638, 311, 1492, 13, 330, 25477, 678, 279, 10668, 36156, 11, 582, 19460, 614, 882, 311, 4296, 13, 1084, 1035, 387, 2167, 6419, 311, 614, 4325, 10549, 264, 15145, 476, 7196, 21399, 601, 369, 13856, 3055, 304, 264, 1393, 1189, 330, 1654, 1410, 2167, 990, 264, 70583, 3248, 389, 37002, 1189, 330, 1654, 2299, 773, 13028, 369, 448, 279, 8770, 429, 279, 6837, 646, 2666, 2115, 700, 13, 1416, 807, 1410, 728, 311, 697, 3753, 311, 1486, 448, 697, 6837, 7025, 11, 432, 2578, 1492, 25032, 1105, 705, 1189, 330, 40, 2776, 2167, 17811, 911, 279, 14487, 14829, 13, 3017, 7403, 646, 944, 387, 1052, 4152, 311, 1059, 9816, 13, 1084, 1035, 2167, 1492, 311, 614, 4325, 1052, 448, 752, 10040, 20, 13, 7405, 8919, 448, 279, 2097, 429, 2272, 686, 387, 2155, 13, 4615, 1682, 374, 2087, 311, 3960, 21303, 11, 35692, 21303, 11, 323, 1473, 498, 1246, 1753, 807, 2948, 498, 21303, 13, 17688, 432, 686, 387, 15750, 11, 714, 1052, 686, 1083, 387, 6233, 5479, 13, 19881, 429, 537, 1449, 922, 14136, 374, 264, 28187, 13, 4329, 11799, 525, 63656, 11, 323, 3800, 525, 13866, 1661, 6329, 3873, 13, 1084, 594, 16910, 369, 697, 1682, 311, 387, 4911, 624, 21, 13, 11778, 882, 369, 6133, 13, 1446, 646, 944, 4914, 504, 458, 4287, 10525, 11, 323, 498, 646, 944, 1492, 697, 1682, 1753, 421, 498, 2299, 21893, 323, 37583, 37919, 13, 9735, 311, 738, 15663, 264, 2632, 330, 2660, 882, 1, 1817, 1899, 11, 1496, 421, 432, 594, 1172, 220, 20, 4420, 13, 20437, 6133, 330, 3838, 1035, 1492, 752, 2666, 2664, 1290, 1431, 7521, 16503, 432, 387, 264, 17196, 30, 362, 10525, 315, 15243, 30, 362, 29784, 30, 9735, 311, 633, 432, 4192, 565, 14561, 4637, 271, 16, 13, 29739, 700, 2681, 1824, 5203, 13, 1416, 498, 646, 1477, 1008, 6562, 315, 6837, 448, 279, 1852, 476, 49817, 50715, 23741, 11, 2244, 11, 714, 1496, 6562, 315, 6837, 448, 6587, 2155, 4682, 646, 387, 264, 2244, 2530, 315, 1824, 13, 72350, 702, 15933, 9942, 389, 1657, 8848, 4682, 624, 17, 13, 2126, 15069, 4124, 13, 22752, 20949, 374, 2989, 13, 1634, 5135, 438, 697, 1682, 374, 77169, 15175, 11, 1841, 1105, 705, 369, 6961, 11, 64095, 323, 5144, 8806, 15069, 481, 1496, 421, 807, 525, 2058, 264, 13673, 8770, 13, 1096, 686, 1492, 1105, 5545, 862, 2480, 4650, 13, 10328, 1602, 2421, 6837, 448, 50715, 23741, 525, 773, 11495, 429, 807, 646, 944, 4227, 476, 3061, 11, 1429, 614, 1045, 8381, 315, 24675, 476, 6832, 27254, 13, 576, 803, 807, 646, 653, 369, 5577, 11, 279, 2686, 1824, 807, 686, 1184, 504, 3800, 304, 62933, 13, 11778, 8388, 2337, 15069, 323, 2548, 369, 7488, 429, 498, 646, 653, 518, 2114, 13, 11461, 67516, 653, 3000, 13, 1416, 264, 41763, 10742, 498, 311, 387, 27030, 476, 81432, 6974, 697, 1682, 11, 1477, 264, 501, 41763, 13, 71310, 1265, 387, 2464, 11, 537, 28465, 13, 1446, 1513, 944, 1366, 697, 1682, 311, 8722, 458, 18056, 19267, 3156, 448, 862, 501, 7361, 624, 18, 13, 7405, 882, 369, 697, 1682, 594, 36683, 11, 421, 1052, 525, 894, 13, 2411, 3039, 11, 807, 1231, 2666, 2115, 700, 11, 5310, 421, 498, 2299, 13028, 4633, 2453, 315, 697, 8386, 1682, 594, 3880, 13, 9735, 311, 8329, 4271, 882, 448, 1817, 315, 697, 2841, 1449, 1899, 13, 1416, 498, 1513, 944, 8329, 882, 448, 264, 1682, 389, 825, 1899, 11, 1430, 311, 1281, 705, 369, 432, 2337, 279, 9001, 624, 19, 13, 32192, 349, 697, 1682, 0, 4615, 1682, 374, 2155, 11, 323, 807, 614, 862, 1828, 3281, 10601, 315, 24055, 429, 1281, 1105, 879, 807, 525, 13, 10689, 1105, 369, 879, 807, 525, 11, 323, 31626, 279, 1661, 13943, 13, 4329, 4682, 11, 1741, 438, 13612, 27339, 11, 2924, 6785, 13566, 13, 6771, 728, 315, 279, 4522, 315, 279, 1682, 498, 1410, 614, 1030, 11, 323, 5244, 389, 279, 1931, 1682, 498, 614, 1290, 1431, 13, 2379, 1184, 697, 2948, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1281, 264, 22674, 7055, 6774, 30, 151645, 198, 151644, 77091, 198, 42246, 264, 6774, 700, 315, 264, 22674, 7055, 374, 264, 4285, 14068, 429, 498, 646, 990, 311, 9897, 697, 4780, 0, 2009, 498, 1184, 374, 264, 44552, 22674, 7055, 264, 2632, 2699, 315, 29301, 13, 9646, 498, 633, 264, 3175, 6774, 1495, 11, 1430, 3259, 264, 6774, 2878, 264, 6774, 311, 705, 279, 39424, 264, 2699, 382, 565, 4230, 264, 3175, 6774, 271, 16, 13, 10771, 264, 44552, 22674, 7055, 916, 697, 2115, 24050, 323, 1922, 14317, 13, 10224, 279, 22674, 7055, 3143, 279, 835, 315, 697, 19225, 323, 14501, 697, 19225, 700, 10078, 773, 279, 22674, 7055, 26558, 259, 2717, 13, 11999, 697, 1424, 773, 429, 697, 32452, 374, 12880, 498, 13, 22201, 264, 22674, 7055, 429, 594, 537, 2238, 6884, 11, 438, 6884, 22674, 20892, 525, 803, 5000, 311, 14501, 13, 7281, 11, 3735, 264, 10078, 5021, 22674, 7055, 1091, 4622, 13, 2619, 594, 537, 264, 738, 2374, 323, 3084, 11, 714, 421, 498, 2299, 3432, 12264, 41849, 432, 2163, 697, 19225, 11, 432, 4658, 2765, 944, 975, 624, 17, 13, 52435, 279, 7055, 18093, 311, 498, 916, 279, 1909, 7055, 323, 6815, 279, 1909, 7055, 700, 13, 3197, 9963, 697, 32452, 8841, 498, 11, 498, 3278, 1490, 220, 17, 20892, 13, 22950, 697, 1290, 1922, 14317, 29356, 279, 1156, 825, 323, 9704, 697, 14317, 916, 279, 2086, 7055, 11, 22266, 432, 700, 13, 1084, 1265, 728, 29356, 279, 1156, 7055, 323, 700, 8841, 697, 32452, 624, 18, 13, 73374, 279, 6337, 916, 5086, 323, 9704, 432, 389, 697, 18217, 645, 13, 5443, 697, 1290, 1424, 311, 26646, 279, 7055, 498, 1101, 13238, 700, 311, 279, 1290, 916, 5086, 13, 1084, 1265, 1281, 264, 2632, 1013, 567, 887, 34731, 6337, 429, 498, 646, 9704, 916, 697, 18217, 645, 13, 1446, 1265, 1431, 614, 264, 21495, 6083, 40298, 1948, 697, 1922, 14317, 11, 24050, 11, 323, 18217, 645, 13, 576, 22674, 7055, 1265, 26646, 2163, 1817, 14317, 311, 1281, 264, 1013, 567, 887, 34731, 6337, 11, 323, 279, 21495, 1265, 387, 389, 279, 4766, 12822, 315, 697, 19225, 11, 537, 279, 4889, 624, 19, 13, 49842, 1119, 697, 24050, 6337, 311, 11633, 279, 1909, 7055, 448, 697, 1922, 14317, 13, 17101, 697, 1290, 1922, 14317, 3143, 279, 4766, 315, 697, 2115, 24050, 304, 279, 6337, 1865, 553, 279, 22674, 7055, 11, 2087, 1495, 438, 498, 653, 13, 5994, 705, 1526, 279, 6149, 21495, 320, 4197, 279, 24050, 6337, 916, 697, 14317, 8, 311, 11633, 279, 7055, 429, 594, 1948, 697, 2115, 1922, 14317, 323, 697, 18217, 645, 13, 11992, 279, 7055, 700, 279, 1616, 498, 3697, 304, 11, 1526, 279, 24050, 6337, 13, 1446, 1265, 1431, 614, 264, 9334, 304, 279, 6149, 13, 13655, 9963, 389, 311, 279, 6337, 498, 13238, 700, 448, 697, 1290, 1922, 14317, 624, 20, 13, 36194, 279, 1290, 3108, 315, 279, 7055, 1948, 697, 220, 17, 1922, 19225, 13, 17101, 697, 1290, 6149, 14317, 705, 1526, 279, 6337, 429, 594, 916, 697, 18217, 645, 13, 36194, 279, 7055, 429, 594, 1101, 311, 279, 2115, 323, 6815, 432, 700, 3685, 13, 60105, 700, 697, 19225, 311, 1281, 279, 1590, 6774, 0, 4615, 1290, 1922, 14317, 323, 1290, 6149, 14317, 686, 387, 9963, 389, 311, 220, 17, 3501, 315, 279, 6774, 4192, 565, 14561, 311, 264, 1990, 6774, 271, 16, 13, 18597, 448, 264, 3175, 6774, 13, 2014, 3271, 311, 264, 1990, 6774, 11, 498, 1184, 311, 387, 2952, 311, 1281, 279, 3175, 6774, 1156, 13, 576, 1990, 6774, 374, 264, 41171, 315, 279, 3175, 6774, 11, 773, 633, 697, 6078, 304, 2309, 448, 697, 2115, 1922, 14317, 11, 2115, 24050, 11, 2115, 18217, 645, 11, 1290, 1922, 14317, 11, 323, 1290, 6149, 14317, 1817, 9963, 264, 1459, 315, 279, 6774, 13, 1446, 686, 1184, 264, 1293, 22674, 7055, 429, 594, 537, 2238, 6884, 13, 1446, 1265, 6707, 387, 2952, 311, 14501, 432, 1948, 220, 17, 6078, 13, 4354, 11, 432, 1265, 387, 2613, 3322, 311, 10306, 23504, 916, 220, 18, 19225, 389, 825, 1424, 624, 17, 13, 17381, 697, 18217, 645, 323, 697, 2115, 24050, 323, 14501, 279, 21495, 916, 1105, 13, 6771, 279, 29753, 1101, 2420, 916, 279, 12822, 315, 1493, 19225, 13, 1634, 498, 653, 11, 498, 3278, 614, 264, 21495, 6083, 448, 264, 6337, 916, 279, 1290, 1922, 14317, 323, 264, 6337, 916, 279, 6149, 1922, 14317, 13, 10771, 279, 1290, 1922, 14317, 6337, 916, 697, 2115, 24050, 323, 279, 1290, 6149, 14317, 6337, 916, 279, 2115, 18217, 645, 13, 31828, 697, 1290, 19225, 700, 315, 279, 29753, 624, 18, 13, 36194, 279, 5622, 315, 279, 6337, 3143, 697, 1922, 14317, 13, 5443, 697, 1290, 1922, 14317, 323, 6149, 14317, 323, 11633, 279, 7055, 279, 8473, 5961, 304, 4065, 315, 697, 2115, 1922, 14317, 13, 1084, 594, 31554, 279, 5622, 949, 315, 279, 6337, 2087, 916, 279, 1922, 14317, 13, 17101, 697, 19225, 304, 432, 504, 279, 1909, 714, 448, 697, 14317, 35995, 21633, 705, 624, 19, 13, 31828, 279, 5622, 6337, 1495, 323, 26646, 432, 13, 576, 6337, 1265, 835, 705, 3685, 279, 1008, 5479, 315, 279, 22674, 7055, 13, 73374, 432, 916, 5086, 311, 279, 2115, 11, 29064, 264, 501, 6337, 13, 576, 6337, 1265, 5023, 387, 916, 697, 1290, 1922, 14317, 323, 6149, 14317, 624, 20, 13, 10771, 697, 1290, 19225, 1526, 279, 5622, 29753, 13, 10224, 697, 1290, 1922, 14317, 1526, 279, 4766, 315, 279, 6337, 429, 5780, 916, 697, 24050, 13, 10771, 697, 1290, 6149, 14317, 1526, 279, 4766, 315, 279, 6337, 429, 5780, 916, 697, 18217, 645, 11, 2087, 504, 279, 1909, 1817, 882, 624, 21, 13, 52435, 279, 6337, 1007, 448, 697, 24050, 13, 36194, 279, 6337, 429, 498, 13238, 1495, 504, 279, 1909, 448, 697, 1290, 24050, 323, 6815, 432, 916, 279, 10335, 315, 697, 19225, 1393, 10282, 1105, 304, 279, 29753, 315, 279, 6774, 13, 31828, 1495, 389, 279, 220, 17, 29753, 518, 279, 5622, 11, 323, 498, 614, 264, 6774, 2878, 264, 6774, 4894, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 2968, 294, 78528, 30, 151645, 198, 151644, 77091, 198, 96502, 36751, 1466, 1959, 41192, 1251, 879, 525, 2477, 61405, 82, 476, 84253, 3123, 504, 14910, 311, 14910, 1959, 374, 458, 2989, 3383, 323, 949, 315, 3771, 3791, 3303, 81, 38058, 11331, 96570, 1704, 71018, 11250, 1466, 38072, 1527, 321, 5251, 3122, 277, 320, 73726, 311, 1661, 323, 54744, 26500, 279, 13962, 568, 4354, 11, 279, 5042, 2618, 315, 12629, 323, 68323, 14910, 374, 537, 369, 279, 650, 36335, 323, 650, 65349, 13, 64558, 4862, 323, 3139, 374, 4362, 311, 2968, 36751, 1466, 13, 2055, 11, 1246, 646, 498, 13444, 323, 10277, 2968, 36751, 1466, 1939, 565, 31166, 6133, 311, 2968, 294, 78528, 271, 16, 13, 7405, 2704, 498, 614, 279, 1290, 33234, 1573, 7086, 36751, 1466, 13, 1446, 1265, 614, 10526, 323, 1661, 33234, 13, 506, 723, 91355, 11, 1657, 19503, 10279, 311, 3291, 279, 1879, 911, 14910, 714, 653, 432, 304, 264, 1616, 429, 11137, 803, 5557, 1091, 1661, 11, 10687, 5577, 304, 33607, 14740, 13, 4320, 944, 2968, 36751, 1466, 421, 697, 14602, 374, 311, 1473, 1007, 429, 498, 525, 264, 1602, 40966, 1697, 26, 1281, 2704, 697, 14602, 374, 311, 4486, 27371, 13, 57851, 36751, 1466, 374, 15791, 264, 3281, 8954, 311, 21399, 1251, 311, 23916, 27371, 4092, 311, 279, 1616, 429, 1260, 6801, 311, 387, 23916, 291, 13, 1446, 525, 23988, 264, 1943, 315, 8046, 323, 9027, 3800, 1246, 311, 1795, 432, 13, 576, 7428, 315, 36751, 1466, 374, 537, 1172, 311, 8865, 279, 6540, 315, 14910, 714, 311, 3063, 12128, 311, 27371, 6133, 13, 11778, 279, 1160, 315, 41192, 3800, 311, 14910, 438, 264, 1616, 311, 4446, 6133, 12128, 311, 14910, 438, 1632, 624, 17, 13, 11778, 264, 2805, 36751, 1466, 3308, 311, 3960, 1246, 311, 2968, 36751, 1466, 311, 264, 8045, 315, 2155, 7775, 13, 1446, 646, 3545, 1477, 11104, 476, 3942, 5203, 429, 2525, 3786, 311, 4538, 911, 36751, 1466, 13, 7496, 315, 1493, 13980, 525, 1910, 13, 4329, 11104, 11, 1075, 23220, 36751, 1466, 11, 3010, 2860, 4862, 476, 4862, 10500, 13, 1446, 646, 1477, 13980, 429, 2525, 304, 7699, 11, 2766, 11, 476, 5326, 3561, 369, 697, 19132, 13, 1200, 4901, 12235, 311, 12629, 1246, 311, 2968, 36751, 1466, 525, 3545, 5644, 11, 773, 387, 389, 264, 70915, 304, 697, 2205, 3082, 369, 1846, 13, 2619, 11, 498, 646, 3367, 3800, 45127, 311, 2968, 36751, 1466, 323, 3960, 504, 32042, 323, 10321, 13336, 323, 855, 26520, 624, 18, 13, 14934, 1246, 311, 4226, 13814, 4588, 4755, 911, 14910, 13, 1416, 264, 36751, 1466, 3308, 374, 537, 653, 480, 369, 498, 11, 1052, 525, 1657, 7236, 323, 4963, 429, 3061, 911, 4185, 4755, 1251, 1231, 2548, 911, 14910, 323, 1246, 311, 4226, 1105, 13, 7542, 2205, 15203, 35182, 369, 6467, 476, 279, 7602, 311, 3960, 1128, 3800, 525, 10161, 911, 14910, 13, 4329, 4755, 498, 2578, 387, 4588, 525, 510, 197, 9, 3555, 374, 279, 6672, 1948, 279, 4244, 14910, 323, 10240, 30, 10479, 374, 27371, 30, 10479, 374, 279, 36628, 35731, 30, 1597, 3170, 653, 19503, 4411, 566, 374, 279, 1537, 52504, 30, 3555, 653, 19503, 4411, 911, 10588, 30, 3555, 1558, 14910, 1977, 911, 52351, 11, 20107, 11, 323, 10866, 5267, 19, 13, 1333, 57017, 14910, 1119, 697, 2272, 438, 1753, 438, 3204, 13, 1096, 3363, 498, 3887, 323, 36297, 14910, 2176, 33225, 323, 21893, 13, 1446, 1265, 3060, 311, 3042, 6133, 438, 264, 10240, 438, 1632, 438, 4446, 14910, 3684, 1119, 697, 7298, 21880, 323, 21737, 13, 86377, 279, 6961, 11094, 315, 264, 61279, 553, 7826, 323, 20337, 264, 47688, 323, 12233, 697, 21415, 370, 13, 39124, 15203, 7236, 311, 697, 26368, 476, 1380, 3512, 498, 728, 13, 1096, 3643, 7086, 36751, 1466, 8661, 11, 438, 432, 1231, 15186, 20959, 476, 4755, 504, 3800, 13, 39124, 14761, 278, 13041, 311, 697, 26368, 323, 4332, 1105, 311, 3800, 311, 6923, 20959, 13, 2340, 352, 518, 697, 26368, 476, 27478, 498, 525, 13, 6771, 1251, 1414, 22936, 374, 1602, 2989, 311, 498, 13, 1446, 1231, 1184, 311, 30893, 264, 1992, 476, 3054, 448, 697, 19136, 323, 8256, 304, 1973, 311, 23803, 624, 20, 13, 2340, 352, 311, 4264, 323, 2548, 369, 18821, 323, 264, 5112, 3971, 369, 498, 311, 387, 2952, 311, 4332, 697, 9881, 4092, 311, 5301, 26725, 686, 13, 1752, 4264, 311, 4226, 697, 33196, 11, 498, 1969, 3887, 264, 41705, 2272, 323, 62178, 894, 44422, 2513, 498, 1231, 614, 2814, 13, 29098, 30414, 374, 825, 315, 279, 1429, 2989, 28500, 311, 614, 979, 8098, 1251, 311, 14910, 13, 20035, 419, 39443, 686, 2990, 498, 12128, 311, 27371, 323, 1083, 10549, 498, 2664, 369, 36751, 1466, 4192, 565, 67201, 911, 374, 23771, 271, 16, 13, 18597, 553, 3709, 311, 1414, 279, 1697, 13, 18976, 311, 1105, 911, 5577, 11, 862, 2997, 11, 862, 975, 11, 323, 1473, 429, 498, 35197, 2453, 911, 1105, 13, 8886, 1697, 374, 4911, 323, 3709, 311, 1414, 1105, 686, 1492, 498, 3119, 279, 1850, 1616, 311, 2968, 36751, 1466, 311, 1105, 13, 9735, 311, 1477, 700, 438, 1753, 438, 498, 646, 1128, 807, 1414, 911, 14910, 13, 4329, 1661, 8568, 4755, 525, 25, 2585, 1521, 498, 1156, 6723, 911, 14910, 30, 3555, 653, 498, 1414, 911, 14910, 30, 2521, 4446, 705, 1045, 3213, 3669, 15860, 14910, 13, 3155, 537, 6468, 2238, 1753, 911, 14910, 518, 825, 882, 1177, 1077, 1105, 738, 279, 17857, 13, 1084, 374, 1850, 311, 2968, 36751, 1466, 304, 2613, 34030, 13, 39630, 389, 879, 498, 525, 7404, 311, 11, 498, 646, 3060, 279, 10435, 476, 2968, 17206, 369, 1105, 311, 728, 1526, 389, 862, 1828, 13, 57851, 36751, 1466, 374, 911, 38975, 13, 4599, 387, 4780, 448, 1105, 13, 17688, 31918, 476, 62942, 4325, 315, 279, 14910, 9881, 374, 1101, 311, 387, 264, 1661, 4238, 323, 1473, 1526, 3110, 13, 1096, 374, 5310, 7373, 421, 498, 1414, 315, 264, 10240, 429, 374, 607, 17270, 504, 14910, 624, 17, 13, 20437, 1105, 421, 1052, 374, 4113, 807, 653, 537, 3535, 911, 14910, 13, 1446, 646, 2548, 11, 330, 3838, 653, 498, 1744, 374, 4969, 448, 14910, 7521, 476, 330, 3838, 653, 498, 1744, 14910, 374, 7521, 5005, 2797, 1817, 97331, 448, 438, 1753, 6540, 323, 31273, 438, 498, 646, 3010, 13, 2521, 1459, 1105, 311, 279, 1290, 5106, 311, 6851, 1493, 11253, 13, 8999, 1251, 686, 614, 21815, 14910, 30906, 323, 44472, 448, 6708, 429, 807, 525, 2669, 11285, 448, 4889, 315, 14910, 13, 1752, 3110, 11, 1251, 879, 525, 11285, 448, 279, 8876, 16947, 323, 1181, 1657, 57589, 1231, 4038, 279, 1852, 57589, 979, 807, 6723, 429, 279, 65660, 33845, 15037, 323, 31360, 13, 4329, 4411, 429, 11, 1576, 315, 279, 16947, 11, 8232, 15634, 3198, 438, 31315, 1091, 2953, 323, 1221, 614, 279, 97331, 429, 3198, 525, 1083, 66416, 476, 29701, 553, 2953, 304, 14910, 13, 5126, 1105, 6974, 279, 65660, 323, 21101, 279, 11799, 1948, 279, 65660, 323, 279, 16947, 323, 1128, 1493, 11799, 3076, 13, 758, 279, 3687, 323, 5411, 7674, 11, 1657, 15203, 30906, 525, 279, 3832, 315, 31713, 36535, 13, 576, 21415, 370, 23704, 553, 10240, 3198, 374, 264, 5411, 58574, 8544, 13, 1446, 1265, 37163, 1493, 29671, 34928, 323, 2990, 1105, 311, 1651, 1493, 18940, 315, 14910, 304, 279, 12626, 315, 15203, 3381, 892, 15634, 279, 12233, 315, 279, 21415, 370, 438, 33562, 287, 52400, 315, 2176, 3381, 323, 2487, 624, 18, 13, 24917, 9702, 498, 13, 9731, 279, 1697, 369, 7086, 498, 279, 6012, 311, 4332, 911, 14910, 311, 1105, 13, 1446, 2578, 1496, 1366, 311, 1430, 5488, 9702, 498, 421, 4325, 17064, 498, 264, 46001, 3405, 476, 67889, 14910, 11, 438, 37939, 1870, 553, 279, 36628, 35731, 13, 3216, 5488, 9702, 498, 304, 2033, 311, 42558, 12239, 11, 498, 1473, 3800, 429, 14910, 374, 11, 12824, 11, 264, 1661, 9881, 13, 1084, 1231, 1083, 12761, 1105, 323, 1281, 1105, 803, 1787, 311, 8844, 311, 498, 13, 1752, 3110, 11, 4325, 2578, 2548, 11, 330, 10234, 653, 10240, 3198, 3421, 862, 14629, 30, 52196, 944, 419, 264, 1841, 315, 1186, 7606, 315, 3198, 7521, 24647, 1105, 11, 330, 13060, 498, 369, 10161, 752, 911, 847, 13587, 1, 323, 3060, 448, 330, 2610, 614, 458, 7040, 3405, 18310, 14910, 323, 358, 88146, 498, 369, 10887, 4396, 6540, 911, 1039, 9881, 10040, 19, 13, 2823, 47787, 323, 1513, 944, 17585, 476, 11004, 448, 879, 498, 525, 7086, 36751, 1466, 311, 13, 7638, 7471, 323, 70413, 374, 2348, 279, 44472, 553, 27371, 304, 279, 65660, 26, 330, 1519, 879, 6551, 705, 34060, 287, 1393, 566, 374, 1290, 11, 264, 43339, 315, 1550, 7077, 304, 47591, 686, 387, 5798, 369, 1435, 1, 320, 1655, 350, 2853, 307, 6023, 568, 10328, 697, 33234, 1231, 387, 1661, 11, 29574, 1410, 2990, 311, 41154, 323, 432, 374, 1850, 311, 8865, 279, 6540, 304, 264, 25650, 1616, 13, 758, 14910, 11, 24668, 1495, 374, 2664, 1091, 70413, 13, 14215, 3330, 369, 330, 10498, 19766, 1, 304, 3800, 6, 20799, 476, 10687, 1105, 1495, 369, 862, 20799, 13, 7828, 1442, 2718, 3800, 374, 2348, 279, 44472, 315, 279, 36628, 35731, 13, 2823, 803, 41192, 323, 2686, 16016, 13, 20690, 16016, 476, 5693, 1388, 40702, 1251, 3123, 504, 14910, 13, 1084, 1231, 1083, 12898, 1251, 1741, 438, 697, 2997, 476, 4780, 323, 1496, 498, 11, 12678, 304, 31986, 8881, 553, 1493, 41154, 13, 758, 279, 835, 11, 4264, 8788, 697, 33234, 323, 686, 975, 806, 686, 624, 20, 13, 67201, 279, 8046, 13, 14910, 13605, 429, 8046, 30414, 374, 825, 315, 279, 63882, 279, 1879, 594, 19661, 13798, 389, 13, 8704, 8806, 476, 12094, 374, 458, 13761, 3738, 17567, 11, 20446, 374, 3884, 438, 13188, 697, 21941, 13, 2055, 979, 7086, 36751, 1466, 11, 537, 1172, 374, 432, 2989, 429, 498, 653, 537, 10246, 11, 714, 1083, 70621, 429, 498, 4157, 10246, 323, 279, 9881, 315, 14910, 374, 678, 911, 8046, 13, 1446, 646, 2968, 10295, 504, 279, 65660, 323, 8059, 38130, 315, 1128, 20446, 3363, 323, 1128, 1181, 15917, 525, 13, 4329, 10295, 315, 20446, 525, 20446, 979, 11833, 323, 11236, 11, 20446, 911, 57295, 323, 18707, 11, 11629, 15448, 438, 31420, 11, 476, 1660, 66486, 14509, 13, 27371, 1083, 48040, 2348, 12094, 911, 4297, 498, 6723, 438, 498, 1231, 6723, 2176, 52119, 323, 15448, 11, 323, 12094, 911, 4297, 1410, 1760, 438, 20446, 13, 3155, 537, 3291, 15448, 911, 27371, 323, 5301, 18713, 14886, 25, 1036, 51, 6293, 15448, 911, 752, 374, 537, 1075, 11629, 15448, 911, 5489, 770, 13, 90295, 10742, 15448, 911, 752, 35092, 11, 1077, 1435, 1896, 806, 1992, 304, 23887, 1987, 56869, 657, 553, 452, 7671, 3101, 4223, 2780, 11, 220, 16, 17, 17, 24, 13, 3197, 498, 1281, 264, 5114, 911, 14910, 11, 9357, 432, 323, 5785, 279, 65660, 476, 23864, 410, 421, 5871, 13, 1416, 498, 653, 537, 1414, 279, 4226, 311, 264, 3405, 11, 1977, 330, 40, 1513, 944, 1414, 3263, 4320, 944, 10246, 911, 697, 6540, 476, 8865, 74059, 13, 576, 1850, 1616, 311, 728, 911, 419, 374, 311, 387, 89867, 323, 2118, 279, 1697, 311, 2441, 2530, 429, 1231, 6644, 458, 4226, 311, 862, 3405, 624, 21, 13, 4320, 944, 10955, 421, 2477, 61405, 82, 653, 537, 4193, 14910, 13, 576, 7428, 315, 36751, 1466, 374, 537, 311, 5508, 476, 26910, 3800, 311, 14910, 13, 576, 5480, 1265, 387, 1865, 553, 279, 1697, 594, 1828, 1910, 686, 38437, 2299, 14189, 374, 311, 20001, 279, 1943, 315, 8046, 13, 27371, 27193, 8711, 1260, 686, 82, 13, 20437, 1105, 11, 1496, 421, 807, 653, 537, 4193, 14910, 11, 1128, 807, 1744, 315, 14910, 1431, 13, 1096, 646, 12296, 498, 304, 3853, 13553, 518, 36751, 1466, 476, 1496, 3060, 279, 10435, 4192, 565, 20678, 294, 78528, 304, 1008, 5510, 271, 16, 13, 8536, 700, 7236, 1741, 438, 264, 11078, 11, 2311, 11, 476, 78803, 315, 1008, 803, 10321, 14235, 6, 2127, 320, 56126, 315, 14910, 568, 3776, 315, 279, 29589, 5510, 311, 2968, 36751, 1466, 374, 311, 8865, 279, 1943, 1526, 2441, 14235, 6, 2127, 11, 5310, 421, 498, 525, 2058, 3238, 389, 41890, 6540, 13, 1446, 646, 1083, 2968, 264, 24531, 2319, 315, 279, 65660, 13, 576, 65660, 374, 697, 1429, 7373, 5392, 304, 11629, 3800, 911, 14910, 11, 438, 432, 374, 279, 1429, 7988, 2311, 518, 697, 33445, 13, 20678, 700, 15933, 9942, 476, 2896, 331, 1413, 315, 14487, 37514, 311, 1251, 476, 311, 697, 2205, 15203, 12261, 13, 1416, 498, 3119, 311, 653, 36751, 1466, 304, 584, 311, 39621, 11, 7086, 3684, 374, 279, 1850, 1616, 311, 16579, 3800, 304, 10435, 624, 17, 13, 3155, 22846, 975, 311, 1492, 3800, 323, 1083, 1473, 1246, 14910, 702, 11495, 697, 2272, 13, 2126, 6398, 304, 697, 2205, 3082, 553, 10476, 279, 2310, 476, 79847, 11, 476, 448, 11104, 429, 1492, 448, 279, 4573, 11, 3942, 11, 9898, 11, 323, 1753, 803, 13, 3285, 4118, 304, 22846, 975, 476, 274, 2584, 80, 1466, 374, 264, 1602, 2989, 12763, 9193, 55308, 304, 14910, 323, 4933, 27371, 323, 3800, 697, 9881, 304, 14910, 13, 2619, 525, 902, 32169, 8502, 304, 1973, 311, 2968, 274, 2584, 80, 1466, 323, 498, 646, 1265, 2968, 432, 25580, 2041, 894, 13388, 476, 1720, 4113, 1182, 13, 8853, 23939, 553, 697, 22846, 975, 686, 1429, 4363, 614, 264, 803, 1787, 3971, 911, 498, 323, 14910, 13, 1096, 3643, 279, 1943, 315, 14910, 1753, 8661, 369, 3800, 311, 4193, 624, 18, 13, 39565, 7236, 311, 697, 15203, 3942, 553, 14633, 45132, 11, 476, 17004, 6803, 13, 1096, 374, 5310, 4362, 421, 697, 3942, 374, 31061, 7236, 311, 2968, 311, 3613, 879, 614, 607, 42895, 504, 14910, 476, 4157, 9417, 16261, 15502, 13, 1084, 686, 1083, 4446, 498, 12128, 311, 3800, 304, 697, 2205, 3942, 13, 576, 36628, 35731, 36067, 429, 6540, 387, 6094, 323, 537, 76003, 13, 2619, 686, 387, 1251, 304, 697, 3942, 429, 525, 537, 9831, 311, 4332, 279, 6540, 13, 3155, 2477, 43524, 294, 78528, 553, 1667, 279, 7602, 13, 1752, 3110, 11, 1736, 15203, 23150, 389, 6271, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 11156, 279, 729, 1376, 30, 151645, 198, 151644, 77091, 198, 565, 5443, 1629, 5296, 389, 11030, 271, 16, 13, 7379, 279, 16212, 15701, 1376, 389, 697, 13625, 13, 1446, 646, 1477, 432, 2163, 697, 13625, 594, 308, 1510, 329, 11, 476, 438, 264, 14246, 729, 389, 2441, 1376, 13, 576, 16212, 15701, 1376, 374, 15503, 1483, 311, 5296, 279, 1372, 6894, 389, 697, 308, 1510, 329, 11, 714, 498, 646, 1083, 990, 432, 311, 11156, 697, 50182, 1376, 624, 17, 13, 22749, 1495, 279, 50182, 1376, 389, 697, 13625, 13, 1096, 686, 2138, 498, 311, 990, 279, 16212, 15701, 3137, 11, 323, 11156, 50182, 624, 18, 13, 8445, 279, 16212, 11989, 1376, 1393, 9963, 1495, 50182, 13, 1096, 686, 21818, 11156, 678, 315, 697, 50182, 1376, 594, 5746, 13, 576, 16212, 15701, 1376, 1231, 1083, 1401, 1075, 16212, 46018, 102, 389, 1045, 70302, 4192, 565, 5443, 5168, 5296, 389, 11030, 271, 16, 13, 7379, 279, 50182, 15701, 1376, 389, 697, 13625, 13, 576, 50182, 15701, 1376, 374, 5990, 16317, 553, 264, 5296, 4603, 448, 330, 24911, 1, 16709, 389, 432, 13, 1446, 646, 5990, 1477, 432, 438, 264, 14246, 729, 389, 825, 315, 697, 5297, 729, 6894, 320, 37, 16, 7276, 16, 17, 701, 476, 389, 2441, 3281, 1376, 1075, 15547, 624, 17, 13, 22749, 1495, 279, 50182, 1376, 389, 697, 13625, 13, 1096, 686, 2138, 498, 311, 990, 279, 50182, 15701, 4565, 311, 11156, 697, 50182, 1376, 624, 18, 13, 8445, 279, 50182, 15701, 1376, 1393, 9963, 1495, 50182, 13, 1096, 686, 21818, 14999, 1007, 697, 50182, 1376, 594, 729, 13, 576, 50182, 15701, 1376, 5746, 1075, 264, 43365, 15701, 1376, 13, 1446, 646, 14999, 432, 389, 323, 1007, 29094, 498, 1366, 4192, 565, 5443, 8978, 271, 16, 13, 5264, 697, 7401, 594, 8162, 5022, 389, 279, 5022, 3619, 13, 9189, 279, 8162, 4603, 304, 279, 8416, 7950, 9131, 315, 697, 4171, 311, 1787, 279, 8162, 5022, 624, 17, 13, 9189, 739, 47870, 389, 279, 5022, 13, 1096, 686, 1787, 697, 739, 47870, 304, 264, 501, 3241, 624, 18, 13, 9189, 25616, 304, 739, 47870, 13, 1096, 2999, 5868, 1075, 264, 13625, 4603, 389, 279, 2086, 2802, 315, 279, 739, 47870, 5022, 13, 1084, 686, 1787, 697, 19496, 323, 1946, 5003, 624, 19, 13, 9189, 279, 25616, 5651, 518, 279, 1909, 13, 1446, 646, 1477, 432, 1790, 311, 2918, 389, 279, 25616, 2150, 13, 576, 25616, 5022, 1231, 9463, 1787, 705, 311, 419, 5651, 13, 758, 419, 1142, 11, 498, 1513, 944, 614, 311, 4205, 279, 5651, 1588, 624, 20, 13, 4248, 279, 330, 10253, 434, 16, 11, 434, 17, 11, 4992, 6894, 438, 5297, 729, 6894, 1, 3745, 13, 3197, 419, 2999, 374, 4091, 11, 279, 50182, 1376, 389, 697, 13625, 686, 387, 8386, 3650, 279, 3281, 5746, 16709, 389, 1817, 315, 697, 434, 6894, 13, 1446, 646, 1477, 419, 2999, 518, 279, 5622, 315, 279, 25616, 5022, 13, 576, 434, 6894, 389, 279, 1909, 2802, 315, 697, 13625, 686, 1431, 1160, 438, 5297, 729, 6894, 320, 37, 16, 4142, 37, 16, 17, 568, 1446, 646, 990, 279, 729, 6894, 2041, 25352, 50182, 13, 1416, 498, 1366, 311, 990, 825, 315, 279, 3281, 5746, 16709, 518, 279, 1909, 315, 697, 13625, 11, 3331, 1495, 50182, 1393, 25352, 279, 434, 1376, 13, 1096, 686, 1431, 387, 279, 1172, 729, 315, 697, 50182, 1376, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 57112, 625, 6237, 30, 151645, 198, 151644, 77091, 198, 47, 2127, 832, 625, 6237, 525, 4727, 369, 60677, 11, 20072, 11, 47569, 11, 323, 8770, 3607, 13, 1416, 498, 1430, 311, 57112, 264, 41172, 553, 4936, 22266, 1182, 279, 6787, 11, 498, 3278, 835, 705, 448, 264, 27402, 9435, 389, 697, 6078, 13, 12090, 11, 1501, 3497, 279, 625, 6237, 323, 1221, 1992, 1105, 304, 458, 9853, 8885, 476, 11013, 279, 6787, 1007, 448, 264, 21430, 13, 1096, 4285, 12538, 525, 3974, 11, 4135, 11, 323, 686, 5274, 498, 448, 17923, 41172, 24955, 382, 565, 91429, 625, 6237, 271, 16, 13, 2516, 321, 264, 3338, 315, 3015, 389, 279, 357, 859, 295, 453, 13, 22201, 264, 3338, 3460, 3322, 311, 3331, 678, 697, 625, 6237, 323, 5155, 4279, 315, 432, 448, 3015, 13, 1084, 3278, 4658, 1896, 911, 220, 16, 15, 4420, 311, 43690, 33947, 197, 9, 10771, 264, 26334, 389, 279, 3338, 311, 1492, 279, 3015, 311, 43690, 38292, 624, 17, 13, 21979, 264, 3460, 19212, 448, 9853, 323, 3015, 13, 2691, 3015, 323, 9853, 311, 279, 19212, 518, 264, 220, 20, 15, 25, 20, 15, 11341, 13, 1096, 686, 1160, 438, 458, 9853, 8885, 369, 279, 625, 6237, 624, 18, 13, 56476, 458, 330, 87, 1, 389, 279, 5622, 315, 1817, 41172, 13, 5443, 264, 1346, 287, 21430, 311, 3931, 264, 5312, 43255, 518, 279, 5622, 315, 279, 41172, 320, 1782, 3108, 14002, 279, 19101, 568, 7405, 1817, 3931, 311, 387, 911, 220, 16, 17122, 320, 17, 13, 20, 9961, 8, 1293, 13, 1096, 686, 1281, 432, 6419, 323, 4135, 311, 57112, 1182, 279, 6787, 13, 4320, 1405, 10955, 911, 3259, 279, 3931, 5538, 11, 4936, 3931, 1526, 279, 6787, 315, 279, 41172, 624, 19, 13, 91429, 279, 625, 6237, 369, 220, 19, 20, 6486, 304, 49837, 3015, 13, 10627, 3641, 1992, 279, 625, 6237, 1119, 279, 3338, 315, 3015, 13, 1084, 374, 2989, 537, 311, 5274, 279, 625, 6237, 304, 279, 3015, 369, 5021, 1091, 220, 19, 20, 6486, 11, 438, 279, 24955, 686, 728, 29723, 88, 323, 279, 625, 6237, 686, 1191, 311, 827, 396, 57017, 13, 23240, 387, 16585, 979, 17233, 448, 4017, 3015, 311, 5648, 43054, 624, 20, 13, 3719, 19052, 279, 625, 6237, 304, 279, 9853, 3015, 369, 220, 20, 4420, 13, 5443, 264, 1739, 15521, 45505, 311, 8317, 279, 625, 6237, 504, 279, 49837, 3015, 1119, 279, 9853, 8885, 13, 576, 65904, 3015, 686, 1492, 311, 6815, 279, 6787, 3123, 504, 279, 24955, 315, 279, 625, 6237, 13, 7405, 2704, 429, 678, 279, 625, 6237, 525, 7225, 84077, 304, 279, 3015, 13, 1416, 1045, 315, 279, 625, 6237, 7629, 1405, 84077, 304, 279, 9853, 8885, 11, 1281, 2441, 9853, 8885, 369, 1105, 624, 21, 13, 88594, 279, 6787, 1007, 279, 625, 6237, 13, 10771, 697, 14317, 1212, 220, 16, 315, 279, 2632, 1320, 2625, 14122, 553, 279, 330, 87, 1, 498, 47615, 11, 323, 6815, 1182, 279, 66433, 13, 576, 6787, 1265, 6707, 2525, 20174, 304, 220, 16, 2409, 13316, 13, 13655, 22266, 1182, 279, 1320, 2625, 389, 678, 3040, 11067, 3080, 498, 3003, 6587, 82512, 279, 41172, 13, 1416, 1052, 374, 2058, 264, 2632, 6787, 389, 279, 41172, 11, 990, 264, 1346, 287, 21430, 311, 15983, 1007, 894, 9664, 6787, 624, 22, 13, 19649, 2163, 279, 74926, 315, 279, 41172, 13, 8445, 279, 1346, 287, 21430, 31520, 1119, 279, 24955, 3080, 432, 12983, 279, 9798, 13, 11112, 279, 5810, 26396, 304, 279, 6787, 323, 3931, 1290, 2163, 279, 41172, 13, 55378, 14376, 3080, 498, 614, 6718, 279, 41172, 304, 4279, 32901, 498, 1513, 1405, 614, 264, 1346, 287, 21430, 11, 990, 264, 17232, 9780, 21430, 4518, 624, 23, 13, 73374, 1817, 4279, 315, 279, 41172, 304, 14002, 17961, 311, 6815, 432, 3123, 504, 279, 9798, 13, 22749, 220, 16, 4279, 315, 279, 41172, 304, 1817, 1424, 13, 37625, 398, 24676, 279, 74112, 323, 13970, 2484, 1105, 3123, 504, 1817, 1008, 3080, 825, 4279, 315, 279, 41172, 4041, 20174, 504, 279, 9798, 624, 24, 13, 78579, 279, 9798, 700, 448, 264, 45505, 13, 22950, 264, 42749, 45505, 1212, 279, 9798, 323, 1221, 3493, 279, 3705, 1495, 311, 2420, 279, 9798, 700, 13, 1416, 279, 9798, 2765, 1405, 5001, 700, 11, 4484, 279, 45505, 1212, 279, 14002, 3108, 315, 279, 9798, 323, 1221, 27505, 432, 700, 4192, 565, 5443, 264, 21430, 271, 16, 13, 19649, 279, 41172, 304, 4279, 323, 2420, 279, 9798, 700, 13, 10771, 279, 41172, 389, 264, 96287, 4479, 323, 3931, 2163, 279, 74926, 315, 279, 41172, 13, 5443, 264, 41284, 311, 2420, 279, 9798, 700, 315, 279, 41172, 624, 17, 13, 63997, 2176, 9666, 315, 41172, 304, 4279, 13, 19649, 1817, 41172, 4279, 3084, 2284, 311, 1855, 264, 63685, 13, 1096, 3643, 279, 41172, 8661, 311, 57112, 32901, 697, 41172, 374, 7945, 3460, 11, 2908, 96287, 1817, 6573, 315, 41172, 1119, 93137, 624, 18, 13, 44376, 279, 6787, 1007, 1817, 41172, 63685, 13, 8445, 279, 6787, 3108, 315, 279, 41172, 31520, 1495, 2348, 279, 96287, 4479, 13, 10627, 3641, 85041, 279, 21430, 438, 3265, 311, 279, 6787, 438, 3204, 311, 4057, 279, 6787, 504, 279, 24955, 2961, 2203, 279, 41172, 6787, 476, 990, 432, 304, 10876, 550, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 3291, 421, 432, 594, 458, 81307, 11, 4238, 11, 5030, 11, 476, 2948, 30, 151645, 198, 151644, 77091, 198, 32927, 819, 323, 21261, 646, 387, 6351, 323, 5000, 311, 3535, 11, 5310, 979, 4460, 311, 74177, 1846, 315, 4325, 498, 1414, 13, 220, 8713, 498, 4936, 458, 81307, 30, 220, 3155, 807, 2908, 498, 264, 4238, 30, 220, 2160, 432, 2948, 476, 1101, 264, 5030, 30, 2619, 525, 1657, 13617, 311, 11871, 323, 432, 594, 537, 2677, 2797, 1380, 498, 2498, 448, 4325, 13, 220, 4354, 11, 1052, 525, 3807, 2155, 5413, 311, 16895, 1246, 264, 1697, 11074, 911, 498, 323, 61722, 1886, 697, 5025, 382, 565, 4457, 2487, 4128, 271, 16, 13, 24742, 279, 3311, 315, 7912, 3645, 13, 8853, 748, 6414, 646, 387, 1602, 77123, 323, 3291, 264, 2696, 911, 1246, 807, 3129, 8266, 8841, 1846, 2163, 1105, 13, 22508, 686, 1281, 7912, 3645, 448, 1817, 1008, 2337, 10435, 311, 1473, 2734, 323, 5091, 13, 34172, 448, 264, 5030, 389, 498, 686, 1281, 11504, 7912, 3645, 448, 498, 3425, 304, 264, 10435, 476, 537, 13, 362, 5030, 1231, 3331, 7912, 3645, 369, 264, 2421, 6486, 11, 323, 1221, 1401, 3123, 504, 557, 1872, 433, 11, 323, 1477, 697, 35396, 1549, 2937, 13, 52767, 657, 44072, 525, 2441, 27039, 315, 264, 5030, 13, 34172, 879, 748, 304, 2948, 448, 498, 686, 2666, 12473, 10655, 37855, 54986, 288, 369, 11577, 18346, 315, 882, 624, 17, 13, 72060, 36743, 13, 576, 3311, 315, 3550, 1251, 5157, 311, 1992, 1948, 5577, 323, 3800, 646, 387, 458, 20438, 315, 862, 25536, 11871, 448, 1846, 2163, 1105, 13, 34172, 879, 374, 697, 4238, 686, 2498, 476, 2444, 12128, 311, 498, 1091, 458, 81307, 13, 362, 1697, 448, 264, 5030, 389, 498, 686, 2498, 3143, 498, 11, 15651, 8841, 498, 11, 323, 1401, 369, 7966, 311, 633, 12128, 311, 498, 12, 3425, 432, 748, 36204, 11435, 3267, 498, 518, 264, 3265, 2088, 11, 476, 48348, 304, 12128, 1091, 5871, 311, 3061, 311, 498, 13, 8853, 879, 525, 304, 2948, 686, 2498, 476, 2444, 1602, 3265, 3786, 12, 8365, 862, 42423, 5796, 979, 11259, 3108, 553, 3108, 476, 862, 30524, 5796, 979, 11699, 3941, 504, 825, 2441, 624, 18, 13, 23519, 7203, 13, 5633, 19029, 11, 3425, 16941, 476, 39611, 11, 646, 20001, 10077, 315, 2155, 49700, 911, 1246, 582, 2666, 911, 1846, 2163, 601, 13, 22508, 686, 36200, 862, 14629, 1393, 304, 20959, 448, 1008, 4780, 311, 1473, 429, 807, 3129, 14289, 13, 2379, 1231, 5796, 1817, 1008, 304, 3100, 11, 16334, 5510, 389, 279, 1424, 476, 6773, 13, 34172, 448, 264, 5030, 686, 1401, 369, 7966, 311, 5796, 279, 1008, 1697, 11, 3545, 304, 264, 56069, 323, 1320, 16531, 1616, 13, 2379, 1231, 2803, 282, 2006, 88, 476, 22596, 11, 323, 1231, 1186, 443, 70788, 3161, 311, 2975, 279, 19029, 315, 862, 5030, 13, 34172, 879, 374, 304, 2948, 448, 498, 686, 2803, 1602, 10655, 323, 9767, 2163, 498, 13, 2379, 1231, 5796, 498, 1667, 21700, 11, 2162, 56781, 52392, 624, 19, 13, 11471, 6529, 311, 47278, 13, 576, 1616, 264, 1697, 13352, 320, 269, 23011, 8, 979, 807, 2299, 2163, 498, 1231, 2968, 498, 1045, 42675, 438, 311, 1246, 807, 2666, 911, 498, 13, 362, 4238, 686, 2498, 448, 806, 476, 1059, 26906, 323, 3579, 21633, 8841, 498, 13, 1416, 11699, 11, 566, 476, 1340, 686, 20815, 2128, 806, 476, 1059, 14201, 311, 1473, 429, 566, 476, 1340, 374, 1787, 311, 498, 13, 5301, 476, 1059, 74718, 1231, 387, 1787, 8841, 498, 438, 1632, 11, 2441, 1841, 315, 28818, 1927, 13, 3197, 4325, 702, 264, 5030, 389, 498, 11, 807, 2498, 16217, 323, 10078, 9214, 862, 15138, 700, 13, 22406, 11, 807, 686, 1459, 862, 44613, 323, 42423, 8841, 498, 11, 438, 264, 1841, 315, 19211, 311, 3271, 8841, 498, 320, 21028, 55655, 7887, 323, 15901, 49555, 565, 32149, 369, 35770, 49398, 271, 16, 13, 66875, 551, 25407, 16232, 13, 576, 4132, 1170, 323, 4271, 315, 264, 1697, 748, 7743, 686, 2297, 1186, 443, 70788, 11649, 389, 279, 15650, 807, 614, 8841, 498, 13, 32149, 311, 1246, 4325, 13433, 304, 4586, 11, 323, 9429, 432, 448, 807, 5112, 979, 7404, 311, 498, 31299, 13, 362, 4238, 748, 7743, 686, 7146, 6783, 11, 448, 2632, 311, 902, 2297, 304, 9649, 476, 16232, 13, 362, 5030, 748, 7743, 686, 614, 264, 56069, 323, 52630, 266, 1223, 4271, 311, 432, 13, 10973, 990, 264, 5080, 9649, 311, 29100, 6292, 862, 17002, 13489, 13, 11012, 990, 264, 4722, 9649, 11, 714, 11596, 279, 9649, 11, 4558, 311, 264, 1036, 79307, 76640, 854, 16232, 11, 311, 2176, 11167, 79711, 11, 323, 1281, 264, 5220, 2666, 518, 14219, 13, 8853, 879, 525, 304, 2948, 686, 11596, 862, 23314, 311, 2432, 862, 8549, 23616, 11012, 3061, 304, 264, 5080, 9649, 323, 3198, 264, 4722, 825, 311, 1473, 429, 807, 525, 8433, 438, 825, 624, 17, 13, 21149, 911, 1246, 16334, 697, 20959, 525, 13, 362, 10435, 1948, 4780, 374, 5990, 16334, 323, 10655, 13, 11733, 498, 323, 697, 4238, 2548, 323, 4226, 4755, 18308, 11, 323, 1231, 476, 1231, 537, 1281, 3853, 6649, 311, 14678, 700, 624, 18, 13, 24742, 1246, 1753, 807, 3061, 911, 5577, 13, 1416, 4325, 702, 264, 5030, 11, 807, 686, 3061, 264, 2696, 911, 5577, 11, 2176, 504, 49481, 323, 438, 264, 1616, 311, 1036, 71, 22733, 30117, 351, 1987, 2379, 686, 1083, 2548, 911, 498, 11, 323, 7503, 98225, 448, 1128, 498, 1977, 311, 1281, 432, 2803, 1075, 498, 614, 2513, 304, 4185, 624, 19, 13, 37427, 2986, 1246, 31387, 697, 20959, 525, 13, 1416, 4325, 374, 304, 2948, 448, 498, 11, 807, 686, 1787, 705, 311, 498, 304, 31387, 5510, 13, 1446, 1231, 1477, 700, 911, 862, 5538, 53582, 30602, 323, 23209, 11, 19990, 11, 2997, 29195, 11, 2989, 4345, 2750, 11, 323, 11129, 369, 279, 3853, 13, 2379, 1231, 3119, 3853, 74567, 11, 476, 21399, 498, 311, 3367, 2997, 4192, 565, 37427, 2986, 697, 5025, 271, 16, 13, 34598, 389, 697, 5025, 13, 11778, 1045, 882, 304, 264, 11340, 1992, 4936, 311, 1744, 911, 697, 15650, 8841, 279, 1697, 304, 3405, 11, 323, 697, 21880, 448, 1105, 13, 4329, 4755, 311, 2908, 525, 510, 197, 9, 2585, 1293, 614, 498, 3881, 419, 1697, 30, 2585, 13814, 653, 498, 1490, 476, 3061, 311, 1105, 30, 2160, 279, 10535, 76009, 30, 3555, 374, 279, 2188, 315, 65164, 6094, 320, 49898, 21893, 476, 10435, 745, 11843, 2585, 1035, 498, 69655, 697, 882, 3786, 30, 3155, 498, 2176, 2803, 311, 4669, 1660, 3786, 5267, 17, 13, 7405, 264, 1140, 13, 1416, 498, 3129, 4460, 311, 8253, 3425, 4325, 374, 264, 4238, 476, 264, 5030, 11, 1281, 264, 1036, 41637, 11295, 77177, 854, 1140, 13, 1416, 498, 3129, 47209, 700, 3425, 4325, 374, 304, 2948, 448, 498, 11, 1281, 264, 1036, 12949, 7434, 994, 854, 1140, 13, 8909, 264, 1298, 14, 1109, 1140, 11, 3255, 894, 3151, 7709, 429, 1035, 13216, 1246, 807, 2666, 911, 498, 13, 20035, 264, 9124, 12296, 1616, 1231, 2968, 498, 803, 20017, 1119, 1246, 807, 2666, 624, 18, 13, 20437, 264, 21789, 4238, 369, 1492, 13, 17688, 1039, 15650, 8841, 4325, 646, 9437, 1039, 19407, 304, 46514, 862, 7709, 13, 362, 4238, 646, 3010, 458, 10745, 11, 16538, 21930, 315, 279, 5025, 11, 323, 686, 387, 2686, 4363, 311, 2138, 4345, 15650, 311, 7802, 862, 8660, 4192, 565, 20437, 5961, 271, 16, 13, 17399, 697, 15650, 1156, 13, 1416, 498, 3129, 10161, 4325, 311, 1787, 705, 311, 498, 11, 1221, 498, 1184, 311, 387, 64351, 448, 1105, 438, 1632, 13, 1416, 498, 3129, 3330, 369, 47848, 11, 498, 1184, 311, 1473, 498, 3129, 12875, 315, 24450, 27687, 1095, 13, 8853, 525, 803, 4363, 311, 387, 2118, 448, 498, 421, 498, 3129, 2118, 448, 1105, 13, 5145, 448, 264, 11652, 1075, 11, 330, 40, 1366, 498, 311, 1414, 429, 358, 2666, 59, 56014, 56014, 56014, 56014, 56014, 56014, 56014, 56014, 56014, 56014, 56014, 62, 9096, 498, 14, 413, 5025, 13, 358, 2776, 15652, 498, 3278, 387, 1101, 438, 10745, 323, 4332, 697, 15650, 911, 752, 10040, 17, 13, 20437, 304, 264, 14083, 1262, 11, 2477, 61899, 1616, 13, 81917, 429, 498, 3129, 4936, 4460, 311, 8722, 1045, 20017, 323, 31273, 304, 697, 5025, 11, 323, 429, 498, 5091, 862, 15650, 902, 4925, 1128, 13, 1084, 748, 2989, 369, 697, 8263, 311, 1414, 429, 807, 646, 1787, 705, 311, 498, 11, 2041, 458, 93704, 12720, 13, 9735, 5488, 2494, 1075, 11, 330, 40, 1366, 498, 311, 1414, 429, 358, 686, 6587, 15669, 323, 5091, 697, 4226, 11, 1496, 421, 432, 594, 537, 279, 825, 358, 1366, 311, 6723, 10040, 18, 13, 2823, 10030, 369, 279, 15917, 13, 2619, 748, 264, 6012, 498, 323, 697, 8263, 1231, 387, 389, 1378, 2155, 92859, 304, 3793, 315, 697, 5025, 13, 10964, 4226, 1231, 54313, 264, 2632, 13, 11778, 1045, 882, 311, 10279, 1246, 498, 1366, 311, 10354, 304, 279, 5025, 11, 14063, 6896, 1246, 697, 8263, 11074, 911, 498, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 8511, 369, 279, 18813, 30, 151645, 198, 151644, 77091, 198, 4498, 498, 728, 311, 279, 18813, 11, 432, 594, 2989, 311, 9850, 15097, 429, 525, 89519, 323, 18776, 13, 1084, 594, 1661, 311, 1401, 1661, 1365, 714, 6099, 429, 17042, 323, 7149, 525, 697, 42680, 10520, 13, 12516, 2220, 14810, 17438, 646, 5240, 432, 57964, 6787, 11, 435, 14051, 11, 476, 803, 6001, 14970, 13, 7281, 11, 387, 62342, 429, 697, 15097, 1231, 6407, 979, 498, 2299, 3238, 700, 13, 41062, 17438, 429, 686, 27596, 264, 6437, 25242, 382, 565, 28218, 369, 3198, 271, 16, 13, 22201, 264, 29144, 259, 33668, 476, 27466, 48372, 13, 41062, 264, 89519, 3684, 1075, 23522, 476, 55070, 13, 3197, 498, 975, 700, 11, 498, 3278, 3063, 4017, 323, 97421, 11, 773, 498, 1366, 311, 1281, 2704, 429, 697, 17438, 3171, 944, 22862, 279, 8628, 13, 1416, 3204, 11, 5157, 264, 1909, 429, 374, 11689, 6188, 369, 289, 16272, 27466, 13, 21144, 12233, 264, 12896, 1909, 476, 9833, 20112, 369, 264, 803, 89519, 89763, 803, 30620, 2293, 411, 6276, 13, 1416, 498, 614, 3460, 36349, 11, 1221, 264, 9833, 20112, 1231, 387, 7565, 369, 264, 10655, 18813, 3139, 13, 2308, 4925, 697, 1379, 11, 264, 2699, 315, 4960, 1824, 2581, 43064, 624, 17, 13, 19725, 697, 92550, 13, 41062, 2494, 18776, 11, 448, 458, 35473, 28042, 7053, 25, 18813, 35776, 11, 27466, 91937, 11, 3754, 24549, 11, 476, 26011, 24549, 13, 1446, 1265, 387, 2952, 311, 2736, 264, 2480, 2088, 315, 2472, 45844, 1393, 498, 2299, 12233, 279, 92550, 13, 576, 92550, 429, 498, 9850, 1083, 6761, 389, 279, 2456, 429, 498, 2299, 2087, 369, 25, 10296, 323, 6787, 30537, 287, 17438, 646, 1492, 498, 1473, 1007, 11, 323, 8968, 70, 1268, 11, 803, 35512, 66456, 2578, 1492, 498, 20334, 304, 13, 10698, 35776, 1231, 9946, 498, 279, 1429, 24177, 11, 714, 807, 646, 1083, 1473, 264, 2696, 315, 6787, 13, 1416, 498, 2666, 32294, 304, 35776, 25, 9850, 10546, 1862, 476, 26011, 24549, 13, 1416, 498, 9850, 35776, 11, 24085, 6133, 504, 678, 25941, 304, 264, 17846, 1573, 498, 728, 311, 279, 18813, 13, 13655, 304, 3971, 429, 1251, 1231, 387, 2952, 311, 1490, 705, 279, 2472, 315, 697, 35776, 979, 498, 2299, 1667, 3654, 7096, 11, 1075, 279, 2472, 3493, 624, 18, 13, 39124, 8311, 67072, 13, 576, 15294, 498, 9850, 686, 6761, 5193, 279, 3378, 315, 22932, 429, 498, 2299, 3730, 13, 1416, 498, 3119, 311, 653, 894, 31744, 11, 1221, 4446, 15294, 429, 686, 3010, 11260, 315, 9135, 369, 697, 7541, 323, 14201, 13, 13655, 304, 3971, 429, 264, 2696, 315, 28620, 1011, 1513, 944, 2138, 1787, 4686, 291, 15294, 13, 1416, 498, 3278, 387, 4303, 389, 264, 84646, 11, 1221, 1281, 2704, 311, 4446, 4303, 15294, 13, 1416, 498, 686, 387, 1667, 458, 77783, 938, 476, 10158, 12963, 11, 1221, 697, 67072, 3171, 944, 4925, 773, 1753, 1365, 1101, 9850, 2494, 10655, 429, 498, 646, 2498, 304, 13, 1416, 498, 3278, 387, 4862, 14324, 11, 1281, 2704, 311, 9850, 2494, 448, 41753, 38348, 323, 5325, 1824, 13, 28025, 15294, 525, 2677, 264, 1661, 5754, 4192, 565, 28218, 369, 2953, 271, 16, 13, 41062, 35776, 476, 10546, 1862, 13, 7405, 2704, 429, 697, 92550, 2968, 498, 264, 2480, 2088, 315, 11379, 13, 2823, 16941, 315, 1246, 1753, 498, 686, 27466, 2337, 697, 25242, 11, 323, 1744, 911, 1246, 4017, 498, 2299, 2087, 311, 633, 13, 9735, 537, 311, 9850, 35776, 429, 13036, 803, 1091, 458, 17122, 3685, 697, 30524, 1365, 5310, 421, 807, 525, 20174, 2163, 279, 14201, 13, 576, 4722, 697, 35776, 11, 279, 23327, 697, 2088, 315, 11379, 13, 1416, 498, 10279, 311, 9850, 35776, 11, 387, 7853, 429, 1008, 1251, 1231, 387, 2952, 311, 1490, 705, 279, 2472, 315, 697, 35776, 979, 498, 2299, 1667, 12645, 1075, 279, 2472, 3493, 624, 17, 13, 11778, 264, 89519, 11, 18776, 15478, 13, 362, 23522, 259, 33668, 476, 12896, 686, 76156, 13, 19489, 2652, 11, 5157, 264, 89519, 11, 27466, 2630, 16272, 55070, 15478, 13, 19725, 2494, 429, 686, 34306, 27466, 323, 429, 2765, 944, 8891, 697, 2088, 315, 11379, 13, 362, 12896, 686, 1473, 1007, 697, 11715, 11, 323, 264, 259, 33668, 646, 387, 264, 10078, 803, 26848, 5754, 13, 98881, 1128, 498, 2299, 2087, 369, 624, 18, 13, 22201, 8311, 67072, 13, 576, 15294, 498, 9850, 686, 6761, 5193, 279, 3378, 315, 22932, 429, 498, 2299, 3730, 13, 1416, 498, 3119, 311, 653, 894, 31744, 11, 1221, 4446, 15294, 429, 686, 3010, 11260, 315, 9135, 369, 697, 7541, 323, 14201, 13, 1416, 498, 3278, 387, 4303, 389, 264, 84646, 11, 1221, 1281, 2704, 311, 4446, 4303, 15294, 13, 1416, 498, 686, 387, 1667, 458, 77783, 938, 476, 10158, 12963, 11, 1221, 697, 67072, 3171, 944, 4925, 773, 1753, 1365, 1101, 9850, 2494, 10655, 429, 498, 646, 2498, 304, 13, 1416, 498, 3278, 387, 4862, 14324, 11, 1281, 2704, 311, 9850, 2494, 448, 41753, 38348, 323, 5325, 1824, 13, 28025, 15294, 525, 2677, 264, 1661, 5754, 4192, 565, 3251, 9462, 271, 16, 13, 41062, 29144, 11, 89519, 38986, 13, 37696, 38986, 525, 8789, 264, 1661, 5754, 13, 7405, 2704, 429, 279, 38986, 525, 13866, 2238, 10296, 6329, 2238, 20174, 0, 41062, 1550, 38986, 476, 3347, 38986, 11, 311, 697, 12656, 13, 10698, 38986, 686, 2968, 697, 14201, 803, 3550, 311, 36297, 11, 714, 1550, 38986, 646, 387, 5390, 369, 289, 16272, 3123, 27466, 13, 74346, 38986, 646, 390, 6627, 697, 14201, 323, 6301, 697, 6543, 34755, 13, 1913, 279, 1008, 1424, 11, 38986, 429, 525, 2238, 20174, 2578, 63817, 498, 553, 33832, 1495, 697, 14201, 624, 17, 13, 62742, 264, 42613, 13, 1634, 498, 3271, 911, 279, 18813, 11, 990, 264, 8413, 11, 4240, 42613, 311, 39094, 697, 27466, 3123, 13, 1446, 1513, 944, 1366, 311, 5274, 697, 27466, 389, 279, 10723, 315, 264, 5662, 0, 7496, 28620, 1011, 3410, 4240, 52884, 369, 3613, 311, 990, 2337, 862, 45844, 13, 3155, 537, 4332, 264, 42613, 448, 5489, 11, 476, 770, 498, 5214, 11560, 17239, 1011, 0, 9590, 705, 894, 27466, 429, 498, 653, 5274, 389, 264, 5662, 13, 5443, 264, 2613, 11, 4240, 42613, 311, 39094, 1495, 279, 10723, 11, 279, 15904, 11, 323, 894, 1008, 949, 429, 697, 27466, 702, 23939, 13, 4615, 27466, 23377, 23157, 429, 1410, 33427, 4325, 770, 421, 2115, 311, 9058, 389, 279, 5662, 4894, 18, 13, 5985, 697, 15097, 1283, 279, 18813, 13, 7418, 697, 1828, 27466, 11, 979, 2115, 311, 9058, 389, 13055, 11, 646, 27775, 34407, 23157, 323, 1221, 33427, 498, 13, 24560, 269, 27746, 23157, 8376, 311, 3063, 2664, 389, 55070, 1091, 389, 23522, 1365, 714, 498, 1265, 11369, 678, 18813, 15097, 15484, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 5505, 264, 11466, 30, 151645, 198, 151644, 77091, 198, 3882, 550, 646, 387, 29831, 74956, 11, 5310, 4766, 697, 2114, 13, 1416, 498, 646, 1405, 4057, 279, 37104, 3738, 974, 11, 498, 1231, 1366, 311, 5505, 1105, 13, 5443, 264, 11466, 2280, 1650, 369, 458, 4135, 1616, 311, 5505, 264, 2421, 46666, 37104, 13, 9735, 1667, 8151, 942, 311, 633, 9279, 315, 12114, 37104, 13, 1446, 646, 1083, 5505, 37104, 448, 48060, 323, 44560, 11, 1075, 11466, 16971, 11, 31458, 44560, 11, 476, 48976, 11466, 44560, 13, 42320, 15873, 37104, 646, 387, 2814, 6157, 11, 6707, 11, 323, 11872, 398, 11, 3425, 498, 614, 264, 3175, 11466, 476, 21935, 311, 4057, 382, 565, 5443, 264, 11466, 2280, 1650, 271, 16, 13, 13824, 369, 279, 11466, 311, 4268, 13, 13655, 697, 7912, 389, 279, 11466, 3080, 432, 11835, 11, 1221, 633, 5527, 311, 1281, 697, 3271, 13, 53084, 279, 11466, 49394, 323, 13970, 773, 432, 3171, 944, 11466, 3123, 13, 1416, 498, 1513, 1405, 614, 264, 11466, 2280, 1650, 11, 498, 646, 990, 1008, 6171, 448, 264, 10063, 7329, 11, 1075, 264, 16803, 11, 28977, 11, 476, 2311, 624, 17, 13, 4492, 266, 279, 11466, 448, 264, 3974, 11, 44478, 11379, 13, 42546, 697, 11466, 2280, 1650, 3403, 697, 1968, 11, 323, 4446, 432, 1495, 916, 279, 11466, 304, 264, 3175, 11, 3746, 3271, 13, 1446, 525, 14432, 279, 11466, 1948, 697, 11466, 2280, 1650, 323, 264, 2588, 7329, 13, 1416, 498, 3116, 279, 11466, 279, 1156, 882, 11, 3783, 369, 432, 311, 4268, 323, 2021, 266, 1549, 624, 18, 13, 467, 3444, 705, 279, 11466, 323, 4240, 1007, 697, 11466, 2280, 1650, 13, 57368, 325, 279, 11466, 2280, 1650, 304, 26785, 323, 3015, 11, 323, 990, 264, 19847, 476, 5567, 42613, 311, 39094, 705, 279, 9435, 13, 7405, 2704, 311, 11369, 697, 6078, 0, 1446, 646, 1083, 63742, 3751, 448, 264, 15826, 6291, 311, 5358, 30035, 894, 17239, 1011, 624, 19, 13, 9735, 1667, 458, 9072, 11466, 2280, 1650, 369, 458, 8661, 11, 11050, 2999, 13, 20598, 11466, 2280, 10175, 525, 7611, 429, 56583, 304, 37104, 448, 264, 3100, 323, 5505, 1105, 5193, 3645, 13, 15577, 3143, 279, 11466, 448, 697, 9072, 11466, 2280, 1650, 311, 5505, 432, 68604, 323, 6157, 13, 2823, 2704, 311, 1349, 916, 11221, 15516, 1573, 990, 13, 34006, 30587, 279, 81512, 3082, 11, 323, 2677, 1077, 279, 11466, 2280, 1650, 7225, 7010, 1495, 1573, 27572, 432, 4192, 565, 60561, 279, 11466, 271, 16, 13, 22201, 504, 2987, 11483, 8151, 942, 11, 13732, 74865, 11, 476, 64960, 90604, 13, 35324, 8151, 942, 5505, 37104, 21818, 5193, 3645, 11, 3498, 807, 6644, 24939, 25266, 13, 1446, 646, 1083, 22899, 279, 37104, 448, 13732, 74865, 11, 1075, 467, 1252, 476, 30822, 220, 19, 15, 24, 11, 476, 448, 458, 48725, 337, 1075, 64960, 90604, 13, 2009, 315, 1493, 8151, 942, 686, 1492, 498, 5505, 264, 11466, 13, 30988, 11483, 11466, 8151, 942, 518, 2114, 8149, 10533, 13, 9192, 369, 15721, 1075, 8007, 32347, 323, 32700, 13, 5443, 22899, 421, 498, 1366, 311, 4057, 1657, 37104, 1602, 6157, 13, 35324, 8151, 942, 686, 5505, 1105, 279, 25648, 11, 3498, 807, 614, 27756, 25266, 13, 75973, 74865, 525, 264, 23048, 10555, 11, 323, 498, 4363, 614, 1105, 518, 2114, 2669, 624, 17, 13, 60561, 279, 3720, 3143, 279, 11466, 26364, 13, 60561, 279, 11466, 1393, 432, 374, 304, 279, 3720, 476, 979, 279, 11466, 11835, 13, 22749, 304, 279, 8183, 311, 4879, 279, 22899, 11, 323, 22899, 5961, 1119, 279, 3720, 2163, 279, 11466, 13, 1446, 1366, 311, 93477, 349, 279, 11466, 304, 279, 22899, 13, 1416, 498, 525, 1667, 11483, 8151, 942, 11, 279, 11466, 686, 2746, 21818, 13, 1416, 498, 525, 1667, 13732, 74865, 476, 64960, 90604, 11, 279, 22899, 686, 22875, 279, 11466, 594, 26204, 11, 3259, 432, 11997, 311, 11466, 13, 576, 11466, 686, 2058, 2746, 11, 1101, 537, 438, 6157, 438, 448, 25266, 624, 18, 13, 25193, 279, 3054, 1283, 498, 22899, 894, 49924, 11483, 13, 576, 25266, 12985, 304, 1429, 11466, 8151, 942, 525, 20836, 323, 43989, 13, 75973, 74865, 1083, 990, 25266, 11, 3498, 537, 5008, 438, 20836, 13, 34006, 59437, 6132, 1493, 25266, 553, 9380, 279, 3054, 7069, 1283, 498, 22899, 13, 25193, 279, 3054, 369, 2176, 11483, 8151, 942, 323, 13732, 74865, 13, 1416, 498, 614, 25103, 476, 2841, 11, 807, 1265, 1083, 5648, 279, 3054, 3080, 279, 25266, 614, 22378, 13, 1446, 646, 3783, 911, 458, 6460, 1573, 312, 1950, 287, 279, 3054, 11, 773, 279, 25266, 646, 92422, 349, 13, 1096, 686, 6761, 389, 1246, 70602, 657, 697, 3054, 374, 323, 1246, 1753, 11483, 498, 22899, 13, 1084, 374, 6092, 311, 2525, 1182, 1119, 279, 3054, 979, 498, 902, 5021, 22068, 279, 25266, 624, 19, 13, 16469, 315, 279, 5593, 11466, 323, 11369, 697, 6078, 13, 49059, 453, 705, 279, 5593, 37104, 448, 264, 5567, 42613, 476, 19847, 11, 323, 2510, 1105, 304, 279, 22854, 646, 13, 7405, 2704, 498, 11369, 697, 6078, 26364, 448, 26785, 323, 3015, 0, 1416, 498, 7425, 5248, 37104, 11, 2510, 1105, 678, 3123, 1573, 498, 11369, 697, 6078, 4192, 565, 10783, 11466, 448, 22862, 271, 16, 13, 40775, 11466, 5567, 304, 5671, 448, 1657, 37104, 369, 264, 11872, 323, 4135, 2999, 13, 20182, 15689, 11, 476, 11466, 20131, 46520, 11, 525, 29922, 315, 5567, 48382, 304, 264, 27402, 9320, 517, 13, 2988, 550, 5486, 279, 5567, 1576, 807, 525, 28023, 311, 279, 22068, 11, 323, 807, 633, 15700, 311, 279, 5567, 323, 2746, 13, 1446, 646, 14678, 11466, 5567, 3143, 697, 94579, 11, 3403, 697, 11030, 11, 476, 1790, 311, 697, 22854, 646, 11, 369, 3110, 13, 20182, 5567, 646, 387, 18295, 705, 54054, 476, 33532, 13, 29558, 697, 11466, 5567, 1283, 498, 6530, 264, 22955, 315, 5593, 37104, 624, 17, 13, 7405, 697, 1828, 22862, 369, 264, 2783, 7373, 6291, 13, 1446, 646, 1281, 697, 1828, 22862, 448, 13163, 3015, 11, 264, 29595, 11, 323, 264, 5567, 22161, 13, 19649, 264, 2613, 14178, 2163, 279, 1459, 315, 279, 5567, 22161, 13, 25968, 220, 16, 949, 13163, 323, 220, 17, 5479, 3015, 1119, 279, 29595, 11, 323, 1992, 279, 22161, 35841, 1495, 4766, 279, 29595, 13, 576, 37104, 686, 387, 28023, 311, 279, 10226, 22068, 11, 323, 3055, 807, 525, 4766, 11, 807, 686, 633, 15700, 323, 86868, 304, 279, 14473, 13, 1446, 646, 912, 264, 6573, 315, 3931, 13779, 311, 279, 29595, 311, 24983, 279, 37104, 4623, 13, 9735, 264, 6573, 315, 23268, 13, 1446, 646, 1083, 912, 264, 6514, 315, 13163, 323, 3015, 311, 264, 12188, 16486, 4518, 315, 264, 29595, 624, 18, 13, 2573, 700, 264, 48976, 11466, 55914, 369, 264, 5810, 11, 6078, 12462, 2999, 13, 48976, 11466, 376, 2625, 525, 96633, 20244, 10779, 429, 5395, 389, 40811, 13, 576, 11466, 55914, 702, 264, 62144, 812, 11, 10226, 4668, 6293, 14791, 11, 892, 40811, 16523, 438, 264, 22351, 13, 362, 11466, 686, 4268, 4766, 11, 323, 279, 11466, 55914, 686, 10658, 9311, 13, 576, 11466, 4157, 12449, 11, 323, 279, 11466, 55914, 686, 24057, 279, 11466, 13, 10771, 697, 11466, 55914, 304, 5671, 5411, 11466, 5671, 11, 1075, 697, 9780, 476, 3143, 697, 6006, 13, 30988, 48976, 11466, 376, 2625, 518, 1429, 2114, 8149, 10533, 476, 13551, 18652, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 8290, 264, 42024, 15239, 50862, 30, 151645, 198, 151644, 77091, 198, 565, 22201, 264, 501, 50862, 323, 23727, 279, 71453, 271, 16, 13, 30988, 264, 50862, 429, 9071, 697, 71453, 748, 1614, 13, 576, 50862, 34227, 11649, 389, 279, 71453, 498, 614, 11, 773, 3709, 458, 19516, 13723, 374, 2989, 13, 7217, 264, 501, 50862, 553, 26305, 279, 13963, 748, 829, 323, 279, 71453, 748, 1614, 1372, 13, 576, 829, 374, 5990, 16709, 14696, 389, 279, 71453, 3705, 13, 576, 1614, 1372, 646, 7025, 387, 1730, 389, 279, 71453, 438, 1632, 11, 1741, 438, 389, 264, 4772, 17339, 311, 279, 9255, 3015, 1555, 13, 576, 3015, 5128, 525, 7407, 29356, 279, 19309, 369, 264, 19309, 71453, 323, 304, 279, 7002, 369, 264, 17196, 1983, 13, 2379, 2765, 1405, 2677, 387, 15614, 11, 773, 1401, 304, 279, 6372, 748, 11376, 369, 279, 1614, 1372, 438, 1632, 13, 1416, 498, 525, 11889, 311, 1477, 279, 1995, 498, 1184, 311, 633, 264, 13723, 11, 6815, 279, 50862, 700, 1156, 11, 1221, 1896, 432, 448, 498, 311, 264, 11773, 3553, 13, 1532, 71733, 646, 1083, 387, 11457, 2860, 504, 279, 13963, 624, 17, 13, 11999, 279, 3015, 2524, 31430, 65670, 311, 9311, 1007, 279, 3015, 6396, 13, 1416, 498, 3129, 24891, 264, 19309, 71453, 11, 1779, 29356, 279, 19309, 13, 9192, 369, 264, 6716, 315, 3015, 5128, 4303, 504, 279, 3705, 11, 1817, 448, 1181, 1828, 31430, 13, 1416, 429, 4436, 1405, 458, 2999, 11, 24523, 279, 1887, 9311, 12462, 31430, 304, 697, 2114, 4518, 13, 1084, 686, 387, 389, 279, 15457, 6422, 315, 697, 2114, 11, 3265, 311, 279, 3015, 42238, 13, 1416, 498, 3129, 3432, 264, 2588, 882, 9271, 279, 63000, 11, 1795, 279, 3015, 5128, 13, 1752, 3110, 11, 1477, 1380, 279, 1887, 3015, 1555, 28833, 697, 2114, 13, 11112, 432, 311, 279, 3015, 22962, 323, 279, 9311, 12462, 31430, 13, 576, 1887, 9311, 12462, 31430, 646, 13289, 13, 1084, 1410, 387, 264, 27197, 13284, 429, 498, 16919, 476, 264, 3705, 429, 498, 2309, 58888, 311, 2936, 279, 3015, 6396, 13, 1084, 1231, 1083, 387, 4889, 315, 697, 2114, 624, 18, 13, 5264, 279, 71453, 311, 4879, 894, 3015, 2058, 4766, 432, 13, 5994, 1182, 311, 279, 71453, 498, 525, 24891, 323, 20276, 432, 13, 1416, 279, 3015, 702, 1012, 9311, 1007, 11, 432, 2765, 1405, 6102, 700, 1181, 4622, 16594, 315, 3015, 13, 12090, 11, 894, 3015, 30591, 304, 279, 1555, 686, 38797, 700, 13, 13824, 3080, 279, 71453, 17933, 342, 5556, 2718, 323, 76215, 1573, 19405, 311, 8290, 279, 50862, 13, 2926, 2056, 279, 1555, 2765, 1405, 1896, 1293, 13, 576, 5128, 646, 1405, 3553, 1753, 3015, 11, 773, 807, 2797, 2878, 3807, 6486, 624, 19, 13, 17757, 279, 23727, 311, 5358, 4113, 504, 15679, 1495, 432, 13, 96362, 1415, 614, 1045, 2613, 44922, 323, 1008, 5479, 429, 1410, 5240, 264, 2696, 315, 25165, 46847, 421, 807, 1033, 311, 633, 5558, 13, 2014, 5358, 32688, 11, 4946, 279, 23727, 748, 19633, 1119, 1992, 13, 1416, 432, 3171, 1405, 614, 264, 19633, 11, 1992, 264, 42613, 916, 432, 13, 7405, 2704, 279, 23727, 374, 6587, 9761, 13, 40933, 429, 17066, 1495, 279, 23727, 686, 387, 5000, 311, 4057, 323, 1410, 5557, 697, 43188, 13, 1416, 498, 3537, 311, 9052, 264, 949, 11, 1973, 264, 13723, 2860, 476, 504, 264, 11773, 3553, 4192, 565, 13760, 264, 19309, 71453, 271, 16, 13, 73414, 1007, 279, 71453, 2062, 448, 264, 10063, 1983, 21966, 12521, 13, 576, 45436, 2062, 374, 518, 279, 1602, 1909, 315, 279, 71453, 19101, 13, 7379, 279, 5622, 6821, 315, 279, 2062, 11, 1221, 14983, 279, 11552, 315, 279, 21966, 12521, 29356, 432, 13, 22950, 279, 2062, 705, 3080, 432, 47600, 1007, 279, 71453, 13, 1416, 279, 2062, 374, 15700, 11, 81279, 432, 518, 264, 2421, 2155, 25941, 13, 13655, 3238, 2163, 279, 12822, 3080, 432, 374, 20174, 3322, 311, 11893, 1007, 279, 71453, 13, 7036, 429, 1449, 3705, 374, 8651, 13, 1416, 697, 71453, 702, 8651, 9255, 323, 4017, 3015, 13469, 11, 807, 614, 862, 1828, 71733, 13, 11327, 88407, 49786, 1415, 1172, 614, 825, 50862, 624, 17, 13, 61043, 38617, 279, 3705, 448, 264, 36414, 21966, 12521, 13, 4248, 279, 1909, 315, 279, 71453, 13, 2619, 686, 387, 264, 2613, 14178, 304, 279, 4126, 1380, 279, 2062, 572, 13, 46461, 264, 2613, 36414, 21966, 12521, 1119, 279, 14178, 311, 5545, 279, 21966, 11, 1221, 2484, 432, 1760, 2962, 1023, 4482, 3080, 498, 525, 2952, 311, 4057, 432, 13, 31828, 279, 71453, 13469, 1007, 47943, 13, 4329, 49786, 1415, 1787, 448, 458, 20060, 59488, 4518, 13, 1416, 279, 21966, 702, 264, 12371, 23450, 8568, 389, 1909, 11, 990, 458, 20060, 59488, 624, 18, 13, 10783, 279, 9979, 389, 279, 71453, 448, 264, 45758, 1168, 59488, 13, 66703, 279, 3705, 58281, 264, 26931, 9317, 9979, 389, 279, 2331, 315, 279, 71453, 13, 92818, 279, 59488, 2163, 279, 9979, 11, 1221, 2484, 432, 1760, 2962, 1023, 4482, 13, 9646, 279, 9979, 4041, 20174, 11, 498, 646, 6248, 13054, 432, 553, 1424, 13, 15003, 41396, 432, 3080, 498, 3129, 2952, 311, 11893, 432, 1007, 315, 279, 71453, 13, 1446, 1410, 1083, 990, 625, 4813, 311, 4057, 279, 9979, 13, 9959, 13834, 625, 4813, 525, 6188, 369, 14550, 448, 43188, 29949, 323, 48839, 11, 714, 498, 1231, 387, 2952, 311, 4057, 432, 448, 2155, 7375, 624, 19, 13, 31828, 279, 50862, 700, 315, 279, 71453, 553, 1424, 13, 576, 1172, 3166, 2115, 304, 279, 71453, 374, 279, 50862, 13, 1084, 702, 264, 6884, 2331, 448, 264, 9317, 476, 12188, 3250, 304, 279, 4126, 13, 1446, 646, 990, 279, 3250, 311, 633, 264, 24676, 389, 279, 50862, 13, 4599, 6815, 432, 7678, 705, 504, 279, 71453, 311, 4057, 432, 13, 576, 2310, 50862, 646, 387, 14989, 700, 304, 279, 22854, 13, 3261, 62831, 614, 35242, 1012, 1865, 315, 36038, 11, 65252, 1576, 315, 1181, 40530, 13753, 34887, 13, 4615, 71453, 1231, 614, 264, 5437, 1204, 50862, 1865, 315, 26429, 476, 48501, 11, 476, 264, 4158, 825, 1865, 315, 12188, 13, 1416, 498, 3129, 3432, 264, 2588, 882, 9963, 8630, 279, 50862, 11, 11633, 432, 448, 625, 4813, 13, 88800, 19142, 625, 4813, 525, 2244, 369, 1741, 35201, 975, 624, 20, 13, 17101, 279, 501, 50862, 1119, 279, 71453, 19101, 13, 576, 501, 50862, 2765, 1405, 4946, 7241, 432, 5285, 82, 448, 279, 19101, 9446, 10277, 13, 4248, 279, 5622, 6821, 315, 279, 50862, 369, 264, 2613, 5651, 13, 576, 9179, 949, 315, 279, 71453, 19101, 686, 614, 264, 12579, 9446, 13, 28424, 5285, 279, 5651, 448, 279, 9446, 323, 14983, 279, 50862, 304, 311, 4582, 432, 13, 7405, 2704, 279, 501, 50862, 374, 10277, 26118, 448, 279, 8568, 773, 432, 498, 1513, 1405, 69085, 5557, 432, 13, 13760, 432, 448, 2453, 4894, 21, 13, 1032, 69108, 279, 9664, 3705, 5479, 311, 6248, 279, 13713, 13, 10224, 279, 5479, 1182, 304, 9931, 1973, 13, 5145, 448, 279, 9979, 11, 76780, 432, 553, 41396, 432, 65670, 448, 264, 59488, 3055, 432, 748, 389, 279, 71453, 19101, 13, 10771, 279, 3705, 389, 1909, 315, 432, 11, 38298, 323, 76780, 1181, 21966, 448, 264, 36414, 21966, 12521, 13, 35533, 553, 25352, 279, 2062, 8630, 279, 1909, 315, 279, 3705, 13, 1416, 697, 71453, 374, 8433, 311, 5248, 13469, 11, 6099, 311, 8290, 279, 50862, 304, 279, 1008, 3705, 438, 1632, 421, 5871, 13, 9646, 498, 614, 8060, 11, 13767, 731, 279, 3015, 1555, 311, 1273, 700, 279, 501, 50862, 27901, 565, 19716, 264, 17196, 71453, 271, 16, 13, 61043, 38617, 279, 17196, 3705, 448, 264, 36414, 21966, 12521, 13, 49720, 279, 3705, 3080, 498, 7702, 264, 2613, 8568, 448, 264, 21966, 4766, 13, 11999, 279, 21966, 1760, 2962, 1023, 4482, 3080, 498, 3129, 2952, 311, 4057, 432, 13, 9646, 279, 21966, 374, 8048, 11, 279, 3705, 2765, 1405, 614, 4113, 9963, 432, 311, 279, 7002, 13, 43364, 432, 1007, 279, 7002, 323, 738, 432, 15663, 13, 576, 50862, 374, 7407, 4815, 279, 3705, 11, 773, 498, 2765, 1405, 387, 2952, 311, 5545, 432, 2041, 17592, 279, 3705, 1156, 13, 4329, 17196, 13469, 614, 10555, 4494, 315, 44922, 13, 1446, 1231, 1184, 458, 20060, 59488, 4518, 315, 264, 36414, 21966, 12521, 624, 17, 13, 5443, 264, 36414, 21966, 12521, 311, 4057, 279, 3705, 12956, 13, 576, 3705, 374, 5644, 304, 1992, 553, 264, 4778, 11968, 448, 458, 12956, 304, 279, 6149, 13, 758, 279, 4126, 315, 279, 12956, 11, 498, 686, 1490, 264, 21966, 13, 11999, 279, 21966, 1760, 2962, 1023, 4482, 3080, 498, 3129, 2952, 311, 4057, 432, 13, 5005, 11, 14983, 279, 12956, 4637, 311, 46781, 432, 504, 279, 3579, 1750, 13, 17688, 279, 12956, 646, 387, 6963, 553, 79554, 432, 1007, 13, 1084, 13798, 389, 279, 1614, 11, 714, 11, 421, 498, 1513, 1405, 1490, 264, 21966, 11, 498, 1429, 4363, 614, 311, 26646, 432, 1007, 13, 7036, 429, 498, 1231, 1184, 311, 4057, 279, 3579, 1750, 304, 1045, 5048, 13, 1084, 5990, 4436, 1405, 5871, 11, 714, 1449, 50862, 1849, 374, 264, 2632, 2155, 13, 1416, 498, 1513, 1405, 1490, 279, 50862, 11, 1779, 279, 3579, 1750, 311, 1490, 421, 432, 646, 387, 6975, 38617, 291, 2238, 624, 18, 13, 58532, 1007, 279, 19101, 3421, 323, 4113, 770, 304, 4065, 315, 279, 50862, 13, 66703, 279, 12956, 686, 16400, 264, 2613, 9317, 34564, 304, 279, 4126, 315, 279, 7002, 8568, 13, 4354, 11, 1657, 17196, 50862, 5942, 614, 264, 2421, 4960, 13617, 315, 9135, 2163, 432, 13, 96918, 1231, 614, 264, 4158, 12188, 2062, 11, 8110, 553, 264, 9317, 10058, 13, 31828, 2176, 315, 1105, 1007, 279, 50862, 553, 1424, 323, 738, 1105, 15663, 13, 4220, 6813, 525, 369, 42368, 323, 32894, 279, 3015, 9315, 13, 2379, 7629, 1405, 3042, 304, 678, 71453, 4119, 11, 714, 3581, 1105, 421, 498, 614, 1105, 624, 19, 13, 5443, 625, 4813, 311, 6815, 700, 279, 12327, 9963, 279, 50862, 304, 1992, 13, 9192, 3156, 279, 1909, 6821, 315, 279, 50862, 369, 279, 12327, 13, 1084, 374, 5990, 1865, 315, 9509, 323, 30083, 304, 264, 56406, 389, 279, 50862, 13, 49842, 304, 448, 264, 6716, 315, 30309, 19142, 625, 4813, 11, 1221, 11893, 432, 311, 2420, 432, 700, 315, 279, 9446, 13, 31828, 432, 8841, 498, 311, 4057, 432, 11, 1221, 27390, 315, 432, 304, 279, 22854, 13, 4329, 49786, 1415, 614, 264, 9979, 4518, 315, 264, 12327, 13, 1416, 498, 1490, 264, 10058, 2163, 279, 50862, 714, 902, 12327, 11, 990, 625, 4813, 476, 264, 59488, 311, 2484, 279, 9979, 1760, 2962, 1023, 4482, 13, 9646, 432, 4041, 20174, 11, 14983, 432, 1007, 279, 7002, 624, 20, 13, 10783, 279, 50862, 553, 80191, 432, 448, 264, 6716, 315, 625, 4813, 13, 9646, 4297, 770, 374, 700, 315, 279, 1616, 11, 279, 50862, 4436, 1405, 11045, 311, 4057, 13, 78821, 279, 19101, 11, 1221, 4774, 311, 6815, 432, 8841, 498, 13, 1416, 432, 3171, 1405, 2525, 700, 1290, 3123, 11, 1896, 264, 12128, 1401, 518, 432, 13, 4329, 71733, 614, 311, 387, 45620, 10078, 311, 5285, 448, 264, 9446, 304, 279, 7002, 1573, 807, 646, 387, 6963, 13, 576, 50862, 374, 65252, 1576, 315, 1181, 3250, 12681, 19101, 502, 73981, 700, 504, 279, 7002, 13, 576, 50862, 748, 2331, 374, 4778, 323, 18304, 4766, 279, 7002, 8568, 13, 576, 50862, 374, 5990, 1865, 315, 36038, 11, 892, 702, 264, 13753, 34887, 13, 4329, 71733, 525, 1865, 315, 5437, 1204, 9509, 476, 4158, 12188, 4518, 624, 21, 13, 19242, 279, 501, 50862, 553, 5285, 287, 432, 448, 279, 7002, 8568, 13, 4248, 279, 50862, 19101, 311, 1490, 421, 432, 702, 264, 50454, 389, 432, 13, 1416, 279, 50454, 374, 3042, 11, 5285, 432, 448, 279, 56406, 304, 279, 7002, 9446, 13, 5005, 11, 14983, 279, 50862, 304, 448, 625, 4813, 476, 264, 59488, 13, 7405, 2704, 432, 374, 58229, 678, 279, 1616, 304, 1573, 10687, 4113, 770, 389, 1909, 315, 432, 13, 1416, 279, 501, 50862, 3697, 448, 264, 10151, 315, 62371, 11, 10273, 432, 8630, 279, 50862, 1573, 10687, 432, 1182, 13, 576, 62371, 35136, 279, 50862, 504, 5557, 2337, 279, 13713, 13, 1446, 1410, 1083, 3796, 697, 1828, 88586, 748, 62371, 311, 432, 624, 22, 13, 29558, 279, 9664, 5479, 311, 6248, 279, 13713, 13, 29558, 279, 5479, 825, 553, 825, 304, 9931, 1973, 504, 1246, 498, 3867, 1105, 700, 13, 5145, 448, 279, 50010, 12327, 476, 9979, 11, 76780, 432, 1283, 10687, 432, 1182, 13, 3411, 894, 19101, 3421, 819, 1790, 11, 8110, 553, 279, 21966, 10326, 3705, 12956, 13, 3197, 498, 3129, 2814, 11, 912, 279, 3705, 323, 21966, 432, 1119, 1992, 13, 3393, 279, 71453, 47943, 13, 1416, 432, 3171, 1405, 2803, 311, 387, 3238, 279, 1616, 498, 1366, 11, 1779, 678, 315, 279, 5479, 311, 5978, 807, 525, 2030, 91820, 323, 614, 1012, 2182, 1182, 12440, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 387, 264, 15678, 7770, 5458, 30, 151645, 198, 151644, 77091, 198, 641, 7770, 11, 19836, 304, 1550, 2906, 11, 498, 525, 3601, 311, 1896, 11752, 369, 697, 1828, 6832, 13, 220, 1084, 374, 13653, 705, 311, 498, 311, 8253, 1246, 1753, 882, 323, 5041, 498, 1366, 311, 2182, 1119, 697, 2906, 1778, 13, 50759, 4190, 429, 7770, 4143, 3351, 975, 32352, 16745, 4115, 1091, 862, 37395, 1521, 304, 220, 16, 24, 21, 16, 13, 220, 1988, 1052, 374, 1083, 5904, 429, 3238, 803, 4115, 374, 537, 14312, 279, 1850, 1616, 311, 387, 26236, 13, 362, 2632, 64436, 1880, 1231, 1496, 387, 1661, 369, 601, 382, 565, 3660, 220, 16, 315, 220, 18, 25, 62552, 1128, 594, 2989, 271, 16, 13, 20437, 6133, 1128, 498, 1366, 504, 7770, 13, 2619, 525, 1657, 7966, 3170, 264, 7770, 8381, 374, 34846, 11, 537, 3245, 429, 432, 374, 2058, 6509, 7548, 15172, 553, 1657, 22426, 13, 4615, 1828, 7966, 369, 33018, 264, 7770, 8381, 1231, 387, 803, 4345, 11, 714, 8329, 1045, 882, 3238, 700, 6896, 1128, 1493, 7966, 525, 13, 21144, 3170, 7770, 374, 2989, 311, 498, 13, 3155, 498, 1366, 311, 3960, 2989, 7361, 1075, 9023, 7274, 323, 3491, 98146, 30, 3155, 498, 1366, 311, 1281, 4780, 11, 3922, 323, 633, 311, 1414, 1008, 1251, 30, 3155, 498, 1366, 311, 633, 1661, 27611, 369, 4623, 3920, 30, 3155, 498, 1366, 311, 633, 264, 3953, 2618, 429, 7460, 264, 7770, 8381, 30, 77037, 1045, 882, 41752, 389, 1493, 4755, 323, 2525, 705, 448, 697, 1828, 11253, 13, 1084, 2578, 1496, 387, 264, 1661, 4522, 311, 3270, 1105, 1495, 13, 1096, 686, 1492, 498, 311, 15282, 1128, 594, 2989, 311, 498, 773, 429, 498, 646, 5244, 389, 279, 7565, 2513, 624, 17, 13, 8427, 697, 3598, 323, 697, 6846, 15516, 13, 4636, 498, 614, 10838, 1128, 594, 2989, 311, 498, 438, 264, 7770, 5458, 11, 1221, 498, 646, 1281, 2664, 11181, 911, 33018, 264, 3598, 476, 3953, 536, 429, 686, 1492, 498, 11075, 697, 8845, 13, 67201, 311, 697, 14250, 36613, 13, 1084, 374, 862, 2618, 311, 3410, 1995, 911, 1128, 3654, 55233, 85992, 323, 1128, 13980, 525, 5871, 13, 20437, 1008, 4143, 369, 1995, 911, 279, 536, 13, 20437, 4755, 1075, 11, 374, 279, 3308, 882, 69740, 30, 2160, 279, 14227, 6624, 30, 3555, 525, 279, 31172, 1075, 30, 1416, 498, 1513, 944, 1414, 894, 1008, 4143, 11, 1401, 2860, 13, 2619, 525, 1657, 13037, 11, 1045, 803, 4586, 323, 3800, 3151, 311, 3953, 8682, 1380, 4143, 4332, 419, 3093, 315, 1995, 13, 2823, 7853, 429, 1128, 374, 389, 1493, 6594, 525, 16234, 3842, 17979, 11, 323, 697, 1828, 3139, 315, 279, 3308, 1231, 387, 2155, 624, 18, 13, 18608, 438, 1753, 74433, 438, 498, 646, 1573, 279, 33153, 5221, 2087, 13, 73335, 374, 1376, 323, 3730, 1128, 498, 646, 1573, 279, 33153, 8471, 686, 1492, 2513, 1598, 803, 38411, 2937, 389, 13, 1752, 3110, 11, 2548, 279, 14227, 369, 264, 2975, 315, 279, 47604, 57541, 8305, 315, 882, 773, 429, 498, 646, 1973, 279, 5871, 7236, 1573, 279, 33153, 8471, 13, 33601, 9538, 551, 6133, 448, 279, 3308, 7236, 13, 1446, 646, 1496, 1191, 5290, 4124, 311, 633, 8305, 4894, 19, 13, 19037, 700, 1128, 374, 3520, 2567, 311, 653, 1632, 304, 279, 536, 13, 1096, 374, 1376, 311, 1660, 264, 15678, 11, 3602, 26236, 11, 7770, 5458, 13, 8459, 433, 1087, 3545, 3931, 3684, 504, 279, 47604, 57541, 438, 279, 536, 5780, 389, 13, 32967, 11, 279, 47604, 57541, 5610, 803, 3684, 1091, 432, 374, 3204, 311, 633, 1526, 304, 264, 3175, 33153, 13, 20437, 697, 14227, 1128, 374, 2567, 5290, 323, 1128, 7236, 476, 3308, 39074, 1231, 387, 803, 79406, 11, 600, 1734, 13, 807, 686, 537, 4994, 389, 39686, 476, 304, 31172, 13, 11471, 6529, 311, 1128, 12829, 315, 7236, 2525, 705, 1429, 13814, 304, 45132, 13, 1752, 3110, 11, 1052, 1231, 387, 264, 55085, 12453, 323, 3807, 9709, 12607, 369, 1817, 536, 11, 3602, 279, 14227, 5990, 23497, 389, 279, 55085, 29632, 304, 30578, 13, 1416, 498, 646, 8253, 264, 5383, 1221, 498, 646, 990, 419, 304, 697, 1828, 17975, 369, 279, 536, 624, 20, 13, 9203, 1056, 697, 41256, 13, 20690, 264, 7770, 5458, 374, 537, 4936, 911, 2087, 311, 536, 11, 1657, 4143, 525, 1083, 949, 315, 9833, 7263, 11, 1422, 13375, 1361, 14, 24534, 269, 1361, 11, 5458, 29157, 323, 1896, 389, 1008, 35979, 12783, 13, 4220, 525, 13900, 2989, 323, 47676, 7488, 11, 714, 2548, 6133, 421, 1052, 525, 894, 41256, 498, 1410, 5452, 1182, 389, 13, 64547, 3953, 41256, 429, 525, 537, 5871, 311, 279, 8845, 429, 498, 614, 11882, 311, 5244, 389, 13, 20829, 429, 498, 646, 944, 653, 4297, 4192, 565, 3660, 220, 17, 315, 220, 18, 25, 1281, 279, 1429, 315, 697, 882, 271, 16, 13, 2126, 2513, 2814, 518, 279, 1290, 882, 13, 70813, 374, 7565, 311, 1660, 264, 15678, 7770, 5458, 13, 5976, 96444, 2554, 646, 387, 32252, 11, 1052, 525, 1045, 7488, 429, 525, 1850, 2814, 518, 3654, 3039, 13, 5692, 525, 1045, 10295, 13, 3155, 697, 28459, 7678, 1283, 536, 979, 279, 2213, 374, 7722, 304, 697, 3971, 13, 1096, 686, 3581, 498, 882, 438, 498, 2765, 944, 614, 311, 312, 12, 27460, 279, 3684, 518, 264, 2937, 2400, 979, 498, 2578, 614, 24547, 432, 13, 9645, 700, 458, 8895, 3119, 476, 21101, 7069, 1283, 24392, 432, 448, 279, 12629, 17847, 476, 14227, 304, 5163, 4115, 13, 13759, 11, 421, 498, 8329, 1045, 882, 3709, 697, 6708, 389, 5567, 518, 279, 1290, 4445, 1221, 498, 3278, 3581, 6133, 882, 304, 279, 3853, 1576, 498, 2765, 944, 614, 311, 10955, 911, 678, 279, 1661, 6708, 498, 2578, 614, 24547, 624, 17, 13, 11778, 1661, 8388, 13, 2411, 1045, 1459, 11, 498, 686, 614, 311, 16579, 448, 279, 3308, 7236, 13, 1416, 498, 1896, 1661, 8388, 279, 1156, 882, 2163, 11, 1221, 518, 279, 835, 315, 279, 33153, 476, 979, 458, 16319, 374, 4152, 498, 646, 990, 1493, 8388, 323, 5648, 3432, 311, 312, 12, 27460, 1128, 498, 614, 2669, 1349, 13, 9645, 1661, 68922, 13, 9735, 311, 1582, 483, 279, 5693, 315, 264, 1467, 476, 279, 1887, 3501, 304, 264, 12453, 1119, 264, 3175, 14311, 13, 1096, 686, 8683, 498, 1632, 979, 498, 2525, 1182, 311, 1401, 518, 697, 8388, 13, 19037, 700, 421, 19496, 8388, 4278, 1850, 369, 498, 476, 421, 498, 10702, 311, 3270, 1105, 1293, 24413, 13, 1527, 1921, 349, 323, 11167, 279, 1467, 13, 5443, 27402, 8388, 311, 1868, 2989, 5479, 624, 18, 13, 14934, 1246, 311, 1349, 6157, 13, 7496, 7770, 13980, 1373, 498, 311, 1349, 264, 1550, 8123, 315, 6351, 3684, 13, 20909, 311, 1349, 6157, 323, 13444, 374, 825, 315, 279, 1376, 7361, 498, 3960, 304, 7770, 13, 31241, 279, 21085, 1573, 498, 1191, 5290, 432, 13, 11778, 264, 9383, 476, 1378, 311, 1401, 518, 279, 2265, 11, 279, 69452, 476, 1186, 1983, 819, 11, 894, 9185, 11, 26131, 476, 38999, 13, 4818, 318, 916, 279, 21085, 553, 5290, 279, 1156, 323, 1537, 14311, 11, 323, 279, 1156, 11652, 315, 1449, 14311, 13, 58150, 4190, 429, 1493, 12538, 34950, 5290, 61094, 11, 892, 686, 13653, 3581, 498, 882, 438, 498, 2669, 3161, 5290, 448, 264, 5530, 315, 1128, 594, 2989, 304, 279, 21085, 13, 4457, 304, 279, 1290, 4573, 773, 429, 498, 3520, 1896, 304, 1128, 498, 525, 5290, 13, 1096, 686, 5358, 47797, 882, 553, 312, 12, 6154, 3654, 5479, 429, 498, 13628, 13, 1096, 7460, 1661, 17716, 11, 264, 10655, 48585, 5290, 2309, 11, 17377, 53616, 323, 5792, 18303, 624, 19, 13, 10167, 551, 330, 33754, 1, 882, 13, 1096, 19257, 311, 279, 4115, 304, 279, 1899, 7391, 304, 14021, 11, 2477, 28645, 533, 9079, 13, 576, 4522, 374, 429, 21080, 389, 1493, 1376, 13943, 646, 3520, 2968, 498, 803, 1910, 882, 311, 11967, 323, 387, 15678, 13, 1752, 3110, 11, 1846, 220, 18, 15, 4420, 7391, 36774, 700, 279, 5828, 3241, 2337, 697, 7298, 58163, 1410, 387, 33616, 369, 26236, 9079, 1075, 5290, 916, 697, 8388, 476, 14289, 311, 279, 30578, 429, 498, 12433, 13, 1416, 498, 614, 1910, 882, 304, 1948, 6846, 11, 728, 311, 279, 6733, 476, 279, 23480, 40930, 323, 8329, 279, 882, 20956, 4192, 565, 3660, 220, 18, 315, 220, 18, 25, 3960, 1008, 5510, 311, 975, 29720, 271, 16, 13, 11778, 9423, 315, 7770, 4963, 13, 78119, 3545, 3410, 4378, 18652, 323, 77043, 3516, 311, 862, 4143, 13, 1084, 374, 264, 1661, 4522, 311, 1281, 990, 315, 1493, 3516, 438, 807, 686, 1492, 498, 633, 279, 975, 2814, 10596, 323, 5358, 498, 47797, 882, 1660, 15700, 389, 264, 3953, 3491, 476, 5000, 16319, 624, 17, 13, 3377, 264, 3920, 1874, 13, 48581, 1095, 448, 1008, 4143, 304, 3920, 5203, 646, 387, 458, 9073, 1616, 311, 4332, 279, 53596, 13, 3197, 855, 10732, 369, 279, 1590, 7006, 11, 13380, 2155, 13347, 311, 2155, 3613, 315, 279, 3920, 1874, 311, 1281, 8388, 389, 13, 1096, 646, 387, 264, 2244, 882, 60162, 11, 7892, 498, 686, 13900, 2058, 1184, 311, 1281, 2704, 429, 498, 525, 11285, 448, 678, 279, 3308, 2213, 13, 7405, 2704, 5019, 304, 279, 3920, 1874, 374, 389, 279, 1852, 2150, 323, 13248, 279, 975, 18308, 624, 18, 13, 29739, 1492, 504, 697, 14227, 13, 19881, 1052, 374, 902, 20973, 304, 3709, 1492, 979, 498, 1184, 432, 13, 7496, 44624, 323, 12629, 56519, 614, 17059, 5163, 4115, 13, 2379, 646, 1492, 498, 5275, 551, 369, 2393, 304, 279, 536, 13, 2126, 9462, 389, 31172, 323, 7006, 17975, 11, 3545, 419, 686, 5358, 498, 47797, 882, 389, 1128, 4436, 944, 7565, 311, 279, 3308, 624, 19, 13, 2126, 279, 1290, 5440, 13, 2619, 374, 10077, 315, 5440, 429, 646, 1492, 498, 438, 264, 7770, 5458, 11, 264, 20638, 1660, 279, 1429, 8036, 9162, 13, 21144, 24965, 304, 264, 14633, 3671, 13, 1096, 646, 12118, 5390, 5310, 421, 498, 614, 16829, 75287, 304, 30578, 476, 525, 2087, 311, 3116, 264, 1376, 536, 13, 23240, 6099, 311, 2548, 279, 14227, 369, 7882, 1573, 498, 3255, 1105, 0, 5443, 3162, 311, 1492, 448, 56516, 323, 51846, 13, 8999, 7770, 15689, 11, 5310, 3412, 15689, 11, 1373, 12440, 23126, 15057, 323, 43515, 66145, 13, 2619, 525, 1657, 7468, 2500, 311, 1492, 448, 419, 11, 892, 686, 13653, 3581, 498, 882, 323, 5648, 894, 4714, 448, 15114, 51846, 624, 20, 13, 5547, 389, 18150, 8464, 13, 9126, 646, 387, 45783, 11, 369, 1657, 4143, 432, 374, 279, 1156, 882, 5382, 3123, 504, 2114, 323, 1052, 525, 7703, 5896, 39750, 389, 4143, 11, 1657, 315, 8711, 975, 311, 13879, 5577, 6814, 7770, 13, 50982, 51186, 429, 8464, 374, 4622, 11, 714, 387, 7853, 429, 2238, 1753, 882, 7391, 39776, 476, 93691, 646, 387, 52708, 323, 2936, 498, 504, 72720, 13, 3285, 424, 448, 697, 7770, 594, 4963, 369, 18150, 8464, 13, 8999, 30152, 3410, 15473, 369, 4143, 311, 1492, 448, 8464, 6240, 11, 5310, 2337, 40302, 4168, 13, 4329, 1376, 5510, 311, 10091, 8464, 525, 311, 16579, 304, 6961, 10158, 11, 1281, 882, 369, 33848, 7488, 11, 323, 1430, 311, 633, 3322, 6084, 13, 3197, 432, 4041, 311, 18150, 8464, 11, 1660, 15678, 7025, 646, 387, 264, 1661, 3166, 4894, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1281, 29950, 22193, 17163, 30, 151645, 198, 151644, 77091, 198, 49, 292, 22193, 17163, 11, 279, 17923, 1376, 24763, 304, 14811, 25779, 504, 5141, 54957, 311, 13750, 14225, 11, 374, 4285, 311, 1281, 304, 697, 1828, 9780, 13, 84808, 29950, 22193, 17163, 7460, 1101, 264, 2421, 13966, 11, 323, 279, 1102, 374, 29573, 323, 48873, 1923, 1091, 3553, 1455, 2450, 17163, 13, 3496, 14822, 220, 16, 323, 7797, 311, 3960, 1246, 311, 1281, 264, 7162, 3351, 382, 565, 43825, 5980, 29950, 22193, 271, 16, 13, 31166, 279, 607, 1743, 13, 7083, 279, 6915, 1448, 4288, 607, 1743, 448, 264, 3460, 6573, 315, 42832, 757, 69552, 11, 323, 738, 432, 916, 279, 2477, 2934, 533, 19212, 13, 2573, 419, 6027, 10162, 389, 697, 975, 7329, 773, 311, 614, 432, 5527, 369, 279, 17163, 20980, 13, 1416, 498, 1513, 944, 990, 42832, 757, 69552, 11, 432, 686, 387, 5000, 311, 8651, 279, 17163, 2847, 5356, 504, 279, 14894, 88, 13, 1446, 646, 27679, 264, 1990, 6193, 315, 5567, 52884, 476, 264, 15430, 23522, 12000, 87954, 304, 264, 49246, 624, 17, 13, 26070, 279, 14074, 11, 12644, 323, 12021, 13, 10771, 279, 14074, 11, 12644, 323, 12021, 304, 279, 19187, 848, 323, 8628, 279, 20980, 916, 11051, 27561, 8628, 13, 26530, 432, 311, 8628, 3080, 432, 24491, 220, 17, 15, 15, 12348, 434, 13, 3197, 279, 20980, 374, 4017, 3322, 11, 2484, 1007, 279, 8628, 323, 3271, 279, 19187, 848, 773, 279, 14074, 646, 3161, 311, 7010, 13, 1084, 1265, 1896, 911, 220, 20, 4420, 311, 5545, 279, 4396, 9315, 13, 64192, 279, 20980, 438, 432, 594, 23579, 311, 5358, 432, 504, 1136, 21584, 287, 389, 279, 5622, 13, 5443, 697, 31556, 92197, 476, 458, 9690, 28806, 92197, 311, 8253, 3425, 279, 20980, 702, 8643, 279, 1290, 9315, 13, 1416, 498, 1513, 944, 1077, 432, 4296, 1293, 3322, 11, 279, 2847, 5356, 2765, 944, 8651, 504, 279, 14894, 88, 13, 1416, 498, 916, 86795, 432, 11, 279, 10434, 686, 387, 46068, 624, 18, 13, 38147, 398, 912, 279, 46105, 13, 5443, 825, 1424, 311, 23065, 14971, 1393, 279, 1008, 1424, 13970, 66707, 279, 46105, 1119, 279, 31713, 14074, 323, 12644, 20980, 13, 576, 46105, 686, 5240, 279, 2847, 5356, 311, 1062, 351, 6334, 323, 8651, 504, 279, 14894, 88, 13, 1446, 3278, 1490, 6437, 9472, 29064, 323, 19057, 311, 279, 1909, 315, 279, 14473, 13, 13655, 53954, 3080, 678, 315, 279, 46105, 702, 1012, 3694, 13, 576, 2847, 60316, 8315, 304, 419, 1142, 374, 46105, 11, 714, 1045, 1251, 10702, 311, 990, 1008, 32055, 13, 9735, 31334, 10607, 220, 18, 55488, 320, 19, 19, 13, 19, 15739, 8, 315, 29464, 22815, 369, 264, 2155, 17172, 13, 1752, 264, 803, 8606, 5796, 11, 1430, 1667, 9864, 5672, 4711, 438, 697, 1062, 351, 68633, 13, 19219, 220, 16, 41284, 315, 5672, 4711, 448, 220, 16, 14, 19, 10525, 315, 9255, 3015, 11, 1221, 23065, 432, 1119, 279, 14074, 20980, 624, 19, 13, 6771, 279, 20980, 2444, 3080, 432, 594, 12045, 13, 13824, 911, 220, 16, 15, 481, 220, 17, 15, 4420, 369, 279, 1062, 351, 68633, 311, 728, 311, 975, 323, 5240, 279, 2847, 5356, 311, 8651, 504, 279, 14894, 88, 13, 1084, 594, 5527, 979, 279, 2847, 5356, 614, 66035, 311, 279, 1909, 311, 1352, 264, 12045, 6193, 11, 9380, 279, 14473, 14894, 88, 29356, 624, 20, 13, 69030, 273, 279, 2847, 5356, 1119, 279, 607, 1743, 13, 49059, 453, 700, 279, 12045, 1909, 6193, 315, 2847, 5356, 323, 57625, 273, 1105, 916, 279, 42832, 757, 69552, 83308, 607, 1743, 13, 13655, 57625, 2718, 700, 279, 2847, 5356, 3080, 678, 429, 594, 2115, 304, 279, 19187, 848, 374, 279, 14894, 88, 13, 1446, 646, 37867, 279, 14894, 88, 518, 419, 1459, 624, 21, 13, 6771, 279, 29950, 22193, 23727, 13, 13824, 518, 3245, 458, 6460, 369, 279, 1537, 315, 279, 14894, 88, 311, 23727, 504, 279, 29950, 22193, 1526, 279, 42832, 757, 69552, 1119, 279, 19212, 13, 1084, 686, 1896, 911, 4279, 458, 6460, 369, 279, 29950, 22193, 311, 7225, 23727, 13, 4320, 944, 4774, 311, 23065, 432, 476, 4484, 432, 1526, 279, 42832, 757, 69552, 11, 438, 419, 686, 1101, 4484, 279, 2847, 5356, 1119, 279, 27292, 13, 1416, 498, 4172, 1075, 264, 12644, 1268, 1590, 1985, 11, 2936, 73009, 279, 29950, 22193, 1283, 220, 20, 481, 220, 16, 15, 4420, 13, 1752, 264, 294, 7253, 1590, 1985, 11, 3783, 458, 6460, 369, 432, 311, 23727, 624, 22, 13, 93513, 279, 29950, 22193, 1119, 264, 19212, 13, 576, 8060, 29950, 22193, 374, 1431, 5527, 311, 990, 304, 697, 6930, 11116, 13, 1084, 594, 17923, 438, 949, 315, 264, 93660, 12000, 476, 264, 42749, 13, 32552, 22193, 686, 2506, 304, 279, 44944, 369, 911, 264, 2003, 4192, 565, 32004, 88, 5980, 29950, 22193, 271, 16, 13, 10255, 279, 14894, 88, 504, 3259, 17163, 304, 264, 2477, 30596, 533, 3338, 13, 3197, 498, 1281, 35333, 17163, 11, 498, 3278, 614, 2847, 5356, 518, 279, 5622, 315, 279, 3338, 11, 323, 498, 3278, 4914, 1007, 279, 14894, 88, 13, 12339, 438, 1657, 315, 279, 2847, 67, 18730, 700, 438, 498, 646, 2474, 807, 1035, 5937, 1352, 11045, 330, 1371, 7664, 1, 304, 279, 1590, 29950, 22193, 13, 17757, 279, 14894, 88, 323, 1077, 432, 2444, 369, 518, 3245, 220, 16, 17, 4115, 518, 3054, 9315, 311, 2225, 14016, 96926, 13, 49134, 1870, 14894, 88, 14056, 438, 1181, 1828, 1062, 351, 68633, 11, 3259, 432, 25165, 311, 912, 46105, 476, 29464, 22815, 311, 8651, 279, 2847, 5356, 624, 17, 13, 26070, 279, 13621, 1870, 14894, 88, 13, 25968, 432, 1119, 264, 19187, 848, 323, 8628, 432, 1393, 53954, 11, 4633, 2453, 311, 5648, 36972, 476, 19675, 13, 26070, 3080, 279, 9315, 702, 40382, 311, 911, 220, 16, 22, 20, 12348, 68723, 323, 264, 4158, 7952, 389, 279, 7329, 13, 15003, 23579, 323, 53954, 3080, 279, 9315, 24491, 220, 17, 15, 15, 12348, 68723, 13, 7036, 429, 279, 31083, 686, 1936, 705, 14400, 13, 2823, 16585, 13, 1416, 432, 88955, 11, 432, 646, 43690, 916, 624, 18, 13, 10783, 279, 14894, 88, 504, 8628, 323, 3783, 369, 432, 311, 2847, 90385, 13, 17757, 432, 323, 2138, 432, 311, 7010, 2030, 380, 74225, 3080, 10655, 311, 279, 5796, 13, 576, 2847, 5356, 686, 5135, 4994, 1075, 29514, 21612, 304, 279, 14894, 88, 11, 1393, 279, 14894, 88, 686, 387, 2797, 323, 13753, 812, 6176, 624, 19, 13, 4509, 466, 279, 29950, 22193, 13, 3155, 537, 23065, 705, 279, 2847, 67, 13, 12090, 11, 738, 705, 264, 12308, 3338, 448, 264, 3460, 607, 1743, 323, 264, 6915, 4240, 27292, 389, 1909, 13, 69030, 273, 279, 2847, 5356, 1119, 279, 27292, 11, 9380, 279, 14894, 88, 304, 279, 19187, 848, 13, 11735, 567, 279, 14894, 88, 13, 2823, 2704, 311, 56407, 700, 279, 2847, 5356, 29273, 13, 9211, 279, 2847, 5356, 525, 1602, 6915, 323, 35201, 11, 807, 646, 2936, 705, 279, 27292, 6707, 13, 1096, 686, 5240, 1602, 6301, 73009, 421, 807, 525, 10865, 705, 624, 20, 13, 61268, 279, 14894, 88, 1526, 279, 27292, 13, 1084, 646, 1896, 220, 17, 12, 18, 4115, 369, 279, 14894, 88, 311, 6587, 23727, 13, 1416, 498, 10702, 11, 498, 646, 738, 279, 607, 1743, 304, 279, 44944, 323, 1077, 432, 23727, 24398, 624, 21, 13, 10783, 279, 29950, 22193, 504, 279, 27292, 13, 13795, 432, 1119, 264, 5476, 11, 3421, 432, 323, 3553, 304, 279, 44944, 13, 5443, 432, 5135, 1283, 3259, 13, 32552, 22193, 686, 2506, 705, 311, 264, 2003, 304, 279, 44944, 13, 38478, 11, 29950, 22193, 93377, 1602, 1632, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 4296, 13776, 30, 151645, 198, 151644, 77091, 198, 3862, 525, 1657, 2155, 3602, 4285, 5510, 311, 4296, 13776, 13, 21330, 389, 279, 33828, 646, 387, 65085, 11, 19197, 651, 4141, 11, 60633, 11, 4087, 3606, 11, 476, 40678, 11, 1393, 20174, 10001, 13776, 374, 5990, 65085, 11, 4087, 3606, 11, 476, 19197, 651, 4141, 13, 13655, 5290, 311, 3960, 803, 911, 697, 14890, 17233, 1714, 382, 565, 2516, 7979, 13776, 389, 279, 33828, 58, 16, 921, 856, 198, 3412, 2530, 271, 16, 13, 2516, 321, 264, 3460, 5591, 19099, 315, 3015, 13, 25894, 11, 10549, 279, 13776, 272, 5481, 553, 17592, 279, 9045, 2787, 323, 5437, 2787, 13, 576, 4734, 3311, 315, 3015, 498, 1184, 686, 13289, 11649, 389, 1246, 3460, 1817, 2430, 315, 13776, 374, 13, 7405, 2704, 429, 498, 990, 3322, 3015, 311, 6587, 3421, 279, 24230, 315, 13776, 3055, 807, 525, 84077, 13, 7036, 429, 498, 646, 912, 705, 311, 220, 16, 37920, 320, 20, 64070, 8, 12021, 311, 279, 3015, 421, 12685, 11, 714, 432, 374, 537, 4362, 13, 2014, 4057, 279, 9045, 2787, 11, 10658, 1007, 279, 19101, 315, 279, 13776, 448, 697, 6078, 13, 31828, 279, 19101, 916, 279, 3084, 315, 279, 13776, 311, 57112, 1007, 279, 9045, 2787, 2058, 12392, 311, 432, 13, 10783, 279, 9664, 9045, 2787, 553, 1051, 20058, 1105, 1007, 448, 697, 19225, 13, 57368, 325, 279, 9045, 74, 12577, 13776, 272, 5481, 1212, 4303, 3015, 13, 12839, 697, 6078, 916, 279, 13776, 311, 20174, 323, 1910, 438, 1657, 315, 279, 86318, 14564, 498, 7702, 96358, 311, 279, 13776, 624, 17, 13, 23200, 279, 13776, 311, 279, 49837, 3015, 13, 17757, 279, 3338, 323, 1077, 432, 470, 311, 49837, 13, 5443, 259, 13181, 311, 63472, 279, 13776, 1119, 279, 3015, 13, 34006, 1667, 697, 6078, 311, 8317, 279, 13776, 2474, 3730, 773, 1231, 1102, 304, 43054, 13, 1416, 279, 49837, 69170, 476, 17933, 1283, 498, 1992, 279, 13776, 304, 279, 5591, 19099, 11, 2138, 279, 3015, 311, 5545, 264, 49837, 1459, 1549, 1573, 18405, 279, 17233, 1882, 624, 18, 13, 12514, 369, 220, 18, 311, 220, 23, 4420, 13, 576, 13776, 1265, 387, 330, 83, 1659, 1786, 5963, 79, 1, 979, 2814, 13, 330, 51, 1659, 1786, 5963, 79, 1, 3363, 429, 279, 13776, 374, 8413, 3322, 311, 3493, 11, 714, 537, 29723, 88, 13, 576, 23560, 3311, 315, 17233, 882, 686, 13289, 3118, 389, 279, 943, 315, 13776, 323, 1246, 14851, 432, 374, 13, 29160, 13776, 323, 10226, 13776, 5990, 4296, 25648, 624, 19, 13, 10783, 323, 8683, 13, 23200, 279, 24230, 315, 13776, 311, 264, 6193, 315, 4240, 5567, 52884, 323, 1077, 23727, 369, 220, 18, 15, 311, 220, 21, 15, 6486, 1573, 13480, 13, 576, 13776, 686, 387, 4017, 11, 773, 498, 1231, 1366, 311, 3783, 264, 2421, 4420, 1573, 67096, 1119, 432, 13, 21330, 374, 5990, 10223, 448, 264, 1353, 43137, 315, 14100, 4192, 565, 26997, 651, 2317, 13776, 389, 279, 33828, 58, 17, 921, 856, 198, 3412, 2530, 271, 16, 13, 10771, 458, 2430, 315, 13776, 304, 264, 41274, 55119, 12000, 13, 1446, 686, 1184, 311, 4296, 279, 13776, 825, 2430, 518, 264, 882, 11, 714, 279, 11221, 525, 279, 1852, 369, 1817, 2430, 13, 3155, 537, 4057, 279, 9045, 74, 13, 576, 13776, 686, 4296, 2664, 304, 279, 41274, 421, 2115, 304, 279, 9045, 74, 2337, 279, 17233, 1882, 624, 17, 13, 97541, 279, 13776, 369, 220, 20, 4420, 13, 576, 41274, 1265, 387, 738, 389, 1550, 2355, 476, 2480, 2355, 13, 6771, 2498, 304, 279, 41274, 369, 220, 16, 311, 220, 17, 4420, 311, 5648, 19675, 6133, 448, 279, 20312, 624, 18, 13, 23200, 279, 13776, 311, 264, 14376, 4479, 13, 19649, 315, 279, 19101, 835, 1667, 264, 17232, 9780, 21430, 13, 5443, 23387, 47332, 82, 476, 264, 42613, 979, 17592, 279, 13776, 504, 279, 41274, 13, 1634, 498, 3931, 11, 498, 1265, 1083, 4057, 279, 1156, 2802, 315, 63515, 13, 7405, 2704, 311, 3931, 1526, 279, 9045, 74, 6587, 624, 19, 13, 58532, 279, 13776, 700, 315, 1181, 9045, 74, 323, 8683, 13, 5443, 23387, 47332, 82, 476, 264, 42613, 311, 11633, 3331, 315, 279, 13776, 504, 279, 650, 10242, 1909, 835, 13, 479, 4402, 26025, 279, 2430, 11, 10693, 279, 13776, 311, 21134, 1910, 13, 576, 2430, 315, 13776, 1265, 21134, 700, 315, 279, 9045, 74, 6707, 13, 32967, 11, 1496, 279, 5437, 2787, 686, 7146, 2115, 4815, 4766, 279, 9045, 2787, 13, 1446, 646, 8683, 279, 13776, 448, 14100, 323, 12021, 11, 476, 4764, 498, 10702, 432, 4192, 565, 2825, 9400, 13776, 389, 279, 33828, 271, 16, 13, 4968, 19963, 697, 39058, 311, 11051, 27561, 8628, 13, 25894, 11, 4057, 279, 9045, 2787, 323, 5437, 2787, 504, 697, 24230, 315, 13776, 13, 1416, 1667, 264, 6819, 39058, 11, 738, 678, 279, 8231, 388, 311, 11051, 27561, 8628, 323, 2138, 279, 39058, 311, 855, 19963, 369, 220, 20, 311, 220, 16, 15, 4420, 13, 1416, 1667, 264, 60103, 39058, 11, 2138, 264, 12045, 6193, 315, 1062, 1127, 311, 8231, 3080, 4158, 23828, 12033, 311, 1352, 916, 279, 7329, 13, 27897, 74, 279, 13776, 553, 79789, 1007, 279, 19101, 323, 22266, 432, 916, 279, 3084, 315, 279, 13776, 11, 27492, 17592, 279, 9045, 74, 12392, 311, 279, 19101, 13, 88594, 3123, 279, 2732, 315, 279, 9045, 74, 448, 697, 19225, 13, 57368, 325, 279, 24230, 1212, 4303, 3015, 311, 4057, 1429, 315, 279, 20174, 5437, 2787, 624, 17, 13, 32988, 279, 13776, 448, 32113, 5590, 13, 5443, 264, 293, 14725, 15625, 311, 3796, 264, 15430, 22875, 315, 32113, 5590, 311, 279, 7329, 315, 1817, 2430, 315, 13776, 13, 5443, 902, 803, 1091, 220, 16, 350, 5417, 320, 16, 20, 64070, 8, 32113, 5590, 817, 2430, 13, 1446, 1410, 1083, 990, 49359, 14100, 4518, 315, 32113, 5590, 624, 18, 13, 23200, 279, 13776, 311, 279, 39058, 13, 12514, 369, 220, 21, 311, 220, 16, 15, 4420, 13, 11999, 279, 13776, 22930, 311, 5978, 1496, 17233, 323, 5358, 19675, 13, 576, 13776, 374, 2814, 3055, 279, 8686, 315, 279, 63515, 3161, 311, 13876, 33404, 13, 1084, 686, 1083, 387, 1161, 1151, 304, 1045, 18773, 11, 5310, 3143, 279, 9155, 63515, 624, 19, 13, 52932, 438, 12685, 13, 10783, 279, 13776, 504, 279, 39058, 323, 8317, 1817, 2430, 311, 264, 13480, 625, 1650, 13, 6771, 7010, 3080, 498, 646, 3705, 432, 44669, 448, 697, 12461, 6078, 13, 30357, 323, 12021, 525, 13814, 10223, 448, 13776, 11, 714, 421, 498, 1483, 14100, 389, 279, 13776, 1573, 1081, 9400, 432, 11, 498, 1231, 1477, 429, 498, 653, 537, 1184, 311, 912, 803, 4192, 565, 3360, 6469, 13776, 389, 279, 33828, 58, 18, 921, 856, 198, 3412, 2530, 271, 16, 13, 2516, 321, 3015, 304, 279, 5622, 13348, 315, 264, 4087, 15232, 13, 27897, 74, 323, 409, 1331, 33163, 279, 24230, 315, 13776, 438, 498, 3783, 13, 1416, 498, 653, 537, 614, 458, 5042, 4087, 15232, 11, 498, 646, 990, 264, 3460, 5591, 19099, 323, 83768, 657, 9317, 1375, 8199, 4518, 13, 7405, 2704, 429, 279, 9317, 1375, 8199, 646, 2732, 389, 279, 19050, 315, 279, 5591, 19099, 1573, 19405, 311, 990, 432, 11, 4764, 13, 576, 14024, 13348, 315, 279, 1375, 8199, 1265, 537, 23604, 3685, 279, 41336, 1459, 315, 279, 5591, 19099, 13, 28232, 1007, 279, 19101, 315, 279, 13776, 323, 6815, 432, 916, 279, 3084, 315, 279, 2430, 11, 17592, 279, 12392, 9045, 74, 13, 88594, 279, 2732, 315, 279, 9045, 74, 3123, 448, 697, 19225, 13, 57368, 325, 279, 13776, 1212, 7010, 4303, 3015, 11, 44901, 7132, 432, 29273, 448, 697, 6078, 13, 1096, 1265, 4057, 279, 8686, 315, 279, 5437, 2787, 624, 17, 13, 23200, 279, 13776, 311, 279, 4087, 6469, 14024, 13, 12514, 369, 220, 23, 311, 220, 16, 17, 4420, 13, 5443, 259, 13181, 311, 8317, 279, 13776, 1119, 279, 4087, 6469, 14024, 13, 12091, 697, 6078, 1410, 1102, 304, 43054, 13, 576, 4734, 17233, 882, 686, 13289, 11649, 389, 1246, 14851, 279, 13776, 374, 13, 59650, 1923, 13776, 72427, 38292, 1091, 9014, 13776, 13, 576, 13776, 374, 2814, 3055, 279, 63515, 2666, 27582, 714, 537, 29723, 88, 624, 18, 13, 52932, 8205, 13, 10783, 279, 13776, 504, 279, 4087, 15232, 448, 697, 259, 13181, 323, 1077, 2732, 369, 264, 9383, 476, 1378, 1573, 21413, 13, 14263, 448, 14100, 323, 12021, 11, 421, 12685, 4192, 565, 425, 1765, 13776, 389, 279, 33828, 58, 19, 921, 856, 198, 3412, 2530, 271, 16, 13, 4968, 19963, 279, 23387, 311, 220, 19, 17, 20, 12348, 68723, 320, 17, 17, 15, 12348, 61347, 568, 10783, 279, 9045, 2787, 323, 5437, 2787, 504, 1817, 2430, 315, 13776, 438, 279, 23387, 855, 383, 1862, 13, 2014, 4057, 279, 9045, 74, 504, 458, 2430, 315, 13776, 11, 10658, 1007, 279, 19101, 1667, 697, 6078, 13, 31828, 279, 10865, 19101, 1495, 916, 279, 2430, 11, 66670, 3123, 894, 9045, 74, 12392, 311, 432, 13, 88594, 279, 2732, 315, 279, 14900, 9045, 74, 3123, 448, 697, 19225, 13, 57368, 325, 1817, 13776, 33828, 1212, 4303, 3015, 11, 44901, 7132, 29273, 448, 697, 6078, 311, 4057, 894, 9434, 5437, 2787, 13, 7135, 9058, 448, 5567, 52884, 624, 17, 13, 14263, 279, 24230, 448, 14100, 13, 1446, 646, 1083, 912, 264, 2632, 12021, 323, 24353, 11, 421, 12685, 13, 5443, 11260, 315, 14100, 13, 47716, 518, 3245, 220, 16, 311, 220, 17, 350, 5417, 315, 49359, 14100, 916, 1817, 2430, 624, 18, 13, 42187, 1817, 2430, 304, 24649, 46399, 13, 8886, 2430, 1969, 387, 6587, 19472, 4766, 1181, 1828, 10834, 315, 24649, 46399, 13, 1416, 498, 525, 17811, 911, 14100, 51829, 700, 504, 279, 24649, 46399, 11, 1992, 264, 10063, 27815, 10834, 476, 51341, 86760, 7215, 23969, 279, 19472, 24230, 315, 13776, 311, 2287, 894, 76215, 14100, 624, 19, 13, 52074, 279, 13776, 369, 220, 17, 15, 311, 220, 18, 15, 4420, 13, 7496, 24230, 315, 13776, 686, 1172, 1896, 220, 17, 15, 4420, 311, 4296, 11, 714, 8131, 24230, 1231, 1184, 438, 1657, 438, 220, 18, 15, 4420, 13, 10771, 279, 13776, 389, 279, 6149, 29659, 315, 697, 23387, 311, 5978, 279, 1429, 1496, 17233, 624, 20, 13, 10783, 323, 8683, 13, 6771, 279, 29105, 24230, 315, 13776, 2732, 369, 220, 17, 311, 220, 20, 4420, 1573, 15516, 17592, 279, 24649, 46399, 13, 52932, 3055, 807, 525, 7010, 3322, 311, 5796, 4192, 565, 2516, 7979, 13776, 63515, 271, 16, 13, 2516, 321, 3015, 304, 264, 11051, 19187, 848, 13, 25894, 11, 6629, 700, 697, 19690, 4361, 13776, 63515, 13, 1446, 646, 912, 705, 311, 220, 16, 37920, 320, 20, 64070, 8, 315, 12021, 311, 279, 49837, 3015, 11, 421, 12685, 11, 714, 279, 12021, 374, 537, 5871, 13, 576, 13776, 1558, 537, 1184, 311, 387, 85378, 291, 4867, 311, 990, 13, 1446, 1410, 1083, 990, 63014, 13776, 63515, 4518, 315, 19690, 13776, 13, 7036, 429, 279, 3311, 315, 882, 4362, 311, 43690, 63014, 13776, 374, 11941, 2686, 1091, 279, 3311, 315, 882, 4362, 311, 43690, 19690, 13776, 13, 22406, 11, 63014, 13776, 1265, 387, 60408, 1573, 498, 912, 432, 311, 279, 49837, 3015, 624, 17, 13, 2691, 279, 13776, 311, 279, 49837, 3015, 13, 1416, 279, 49837, 42054, 476, 17933, 11, 1077, 279, 3015, 2525, 705, 311, 264, 43690, 1549, 13, 4636, 432, 4675, 311, 264, 20097, 43690, 11, 7949, 279, 8628, 311, 11051, 59269, 624, 18, 13, 17757, 323, 4296, 13, 57746, 4361, 63515, 315, 13776, 1265, 61815, 369, 220, 20, 311, 220, 16, 15, 4420, 13, 61268, 3055, 8060, 13, 356, 7295, 13776, 1265, 1172, 43690, 369, 220, 16, 311, 220, 18, 4420, 13, 9646, 8060, 11, 279, 13776, 1265, 387, 4017, 323, 27582, 714, 537, 29723, 88, 624, 19, 13, 52932, 438, 12685, 13, 3155, 537, 2053, 27633, 13776, 63515, 1283, 17233, 1105, 13, 1416, 12685, 11, 498, 646, 6514, 279, 29105, 13776, 63515, 448, 14100, 11, 12021, 11, 323, 3691, 24353, 13, 1446, 646, 1083, 990, 1008, 3200, 819, 11, 1075, 87521, 11, 4092, 311, 697, 1828, 35163, 4192, 565, 3360, 6469, 13776, 63515, 271, 16, 13, 4467, 1174, 3015, 304, 264, 4087, 15232, 13, 21979, 279, 4722, 949, 315, 264, 4087, 15232, 448, 3015, 323, 8628, 11, 389, 279, 44015, 11, 916, 11051, 8628, 3080, 279, 3015, 4087, 4122, 323, 8471, 311, 61815, 13, 3155, 537, 43690, 279, 3015, 13, 3155, 537, 5155, 279, 4087, 15232, 1550, 3322, 369, 3015, 311, 21134, 705, 1526, 279, 19766, 315, 279, 4087, 15232, 14024, 13, 1416, 498, 653, 537, 614, 264, 4087, 15232, 11, 498, 1410, 990, 264, 5591, 19099, 323, 264, 9317, 1375, 8199, 448, 6915, 19766, 13, 7405, 2704, 429, 279, 1375, 8199, 18304, 916, 279, 19050, 315, 279, 5591, 19099, 2041, 15679, 304, 624, 17, 13, 2691, 19690, 13776, 63515, 1119, 279, 4087, 15232, 14024, 13, 47716, 279, 63515, 700, 1119, 264, 3175, 6193, 13, 356, 7295, 13776, 63515, 646, 1083, 387, 1483, 11, 714, 807, 686, 6248, 17233, 304, 264, 1753, 23327, 3311, 315, 882, 13, 2379, 1231, 1083, 387, 274, 16108, 1268, 3055, 8060, 13, 1446, 653, 537, 1184, 311, 85378, 19690, 13776, 63515, 1573, 990, 624, 18, 13, 12514, 369, 220, 24, 311, 220, 16, 15, 4420, 13, 26530, 279, 13776, 311, 20312, 369, 220, 24, 311, 220, 16, 15, 4420, 2041, 18202, 432, 13, 61268, 3055, 8060, 13, 356, 7295, 63515, 686, 1172, 1184, 311, 20312, 369, 220, 18, 476, 220, 19, 4420, 624, 19, 13, 52932, 13, 3360, 3606, 13776, 646, 387, 10223, 448, 14100, 323, 12021, 438, 1632, 438, 1008, 3200, 819, 4192, 565, 26997, 651, 2317, 13776, 63515, 271, 16, 13, 10771, 13776, 63515, 304, 264, 41274, 55119, 12000, 13, 47716, 19690, 13776, 63515, 1119, 458, 1496, 6193, 304, 279, 12000, 13, 356, 7295, 13776, 63515, 646, 1083, 387, 1483, 11, 714, 1052, 525, 1045, 11799, 304, 279, 17233, 1714, 323, 3084, 13, 57746, 13776, 1558, 537, 1184, 311, 387, 85378, 291, 4867, 311, 17233, 624, 17, 13, 2691, 220, 17, 311, 220, 19, 350, 5417, 320, 18, 15, 311, 220, 21, 15, 64070, 8, 315, 3015, 13, 64192, 279, 3015, 1119, 279, 13776, 311, 827, 81244, 432, 6814, 13, 7036, 429, 419, 3019, 374, 1172, 4362, 421, 1667, 19690, 13776, 63515, 13, 1446, 653, 537, 1184, 311, 912, 3015, 421, 1667, 63014, 13776, 11, 714, 498, 1265, 537, 23727, 279, 63014, 13776, 1573, 990, 624, 18, 13, 17757, 279, 12000, 448, 12188, 15061, 13, 5443, 264, 22435, 311, 51551, 264, 2421, 19766, 1119, 279, 12188, 15061, 11, 8241, 55134, 13, 8278, 990, 12188, 15061, 429, 374, 6092, 311, 990, 304, 279, 41274, 13, 1416, 279, 12000, 702, 264, 3421, 11, 498, 1410, 990, 429, 4518, 315, 279, 12188, 15061, 13, 7405, 2704, 429, 279, 3421, 374, 9099, 389, 279, 12000, 62457, 773, 429, 279, 13776, 374, 2058, 70602, 657, 624, 19, 13, 97541, 369, 220, 19, 311, 220, 20, 4420, 13, 1416, 1667, 63014, 13776, 11, 1172, 41274, 279, 12000, 369, 220, 16, 311, 220, 17, 4420, 13, 576, 4734, 3084, 315, 882, 34227, 11649, 389, 1246, 1753, 66172, 424, 697, 41274, 702, 13, 362, 4722, 40403, 41274, 686, 1184, 5021, 882, 11, 1393, 264, 5080, 40403, 41274, 686, 1184, 2686, 882, 13, 1416, 498, 6723, 49849, 10362, 438, 279, 13776, 72427, 11, 2936, 279, 41274, 4124, 624, 20, 13, 61268, 323, 8683, 13, 61268, 279, 17233, 14473, 504, 279, 13776, 323, 3200, 438, 12685, 448, 14100, 11, 12021, 11, 323, 24353, 4192, 565, 4864, 40465, 60633, 13776, 389, 279, 33828, 271, 16, 13, 19649, 279, 11552, 315, 1817, 2430, 315, 13776, 1007, 13, 2055, 585, 279, 13776, 304, 279, 9045, 2787, 304, 264, 19309, 476, 264, 2409, 3338, 304, 220, 19, 311, 220, 21, 14924, 320, 16, 15, 13, 17, 311, 220, 16, 20, 13, 17, 9961, 8, 315, 15239, 3015, 369, 911, 458, 6460, 624, 17, 13, 5976, 807, 2299, 77346, 11, 10549, 697, 15789, 60103, 39058, 13, 2691, 3322, 1062, 1127, 369, 458, 6460, 315, 17233, 624, 18, 13, 10771, 279, 13776, 2058, 304, 279, 9045, 2787, 389, 279, 39058, 13, 12514, 369, 911, 458, 6460, 11, 13054, 22930, 11, 10693, 279, 9045, 2787, 311, 1161, 624, 19, 13, 10783, 279, 9045, 2787, 624, 20, 13, 2691, 14100, 11, 12021, 323, 24353, 311, 12656, 13, 52932, 7069, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 58117, 27699, 6331, 30, 151645, 198, 151644, 77091, 198, 34, 71805, 6331, 374, 458, 2860, 2025, 429, 5711, 6351, 10822, 311, 3331, 1467, 5980, 20959, 448, 3738, 12726, 13, 17594, 36002, 423, 6331, 374, 2244, 518, 9963, 6770, 20959, 11, 432, 4436, 944, 4727, 13, 3085, 264, 2632, 14068, 722, 11, 432, 594, 537, 49036, 2588, 311, 633, 36002, 423, 6331, 311, 16400, 279, 13388, 315, 1181, 15473, 13, 13139, 498, 2299, 4460, 311, 26093, 279, 94430, 3393, 320, 64, 1273, 1483, 311, 3291, 3425, 458, 20443, 11229, 646, 330, 6385, 1, 438, 264, 3738, 8, 476, 4936, 3330, 369, 1045, 4135, 48236, 11, 3947, 36002, 423, 6331, 905, 311, 633, 3855, 2219, 565, 14974, 810, 27699, 6331, 448, 3151, 14068, 271, 16, 13, 9735, 19496, 304, 5492, 23261, 13, 58713, 311, 1008, 6366, 7468, 11, 36002, 423, 6331, 374, 458, 47198, 25530, 7517, 1663, 380, 13, 4354, 11, 36002, 423, 6331, 8788, 4302, 315, 279, 93798, 315, 4627, 13, 1416, 498, 1430, 19496, 304, 264, 2421, 5128, 315, 697, 6930, 5492, 23261, 11, 1429, 315, 279, 882, 11, 36002, 423, 6331, 686, 14198, 279, 23261, 15901, 476, 2968, 264, 31695, 724, 938, 2033, 11, 1496, 421, 279, 23261, 525, 1632, 21309, 13, 7036, 11, 4764, 11, 429, 369, 3654, 11674, 429, 525, 1602, 1632, 21309, 11, 36002, 423, 6331, 3520, 646, 320, 437, 686, 8, 1395, 632, 279, 5492, 23261, 421, 498, 1191, 19496, 1105, 304, 13, 1752, 2867, 11, 1430, 19496, 304, 279, 8568, 23261, 311, 16259, 594, 330, 1233, 29032, 1103, 431, 6224, 1076, 788, 330, 3872, 419, 279, 1931, 2272, 30, 2160, 419, 1101, 18378, 47369, 17, 13, 26642, 36002, 423, 6331, 448, 264, 19819, 51213, 13, 362, 51213, 374, 264, 5114, 11, 3405, 11, 476, 4522, 429, 702, 458, 4226, 429, 646, 944, 387, 73045, 1730, 13, 8704, 1045, 315, 3840, 594, 12196, 68022, 614, 27115, 311, 13065, 4044, 19819, 51213, 288, 11, 432, 594, 264, 1602, 6092, 1274, 429, 36002, 423, 6331, 686, 387, 6587, 73152, 291, 553, 1429, 315, 1105, 13, 758, 5256, 11, 36002, 423, 6331, 3171, 944, 1496, 653, 1632, 7404, 911, 14878, 429, 614, 279, 4650, 311, 387, 51213, 938, 11, 1075, 882, 5821, 13, 9735, 1667, 1045, 315, 279, 51213, 288, 3685, 11, 476, 990, 264, 2711, 4712, 311, 1477, 697, 1828, 1959, 1052, 525, 15901, 11499, 700, 1052, 13, 1036, 2679, 419, 5114, 374, 830, 11, 1221, 15993, 67019, 374, 1931, 48116, 197, 9, 330, 12549, 582, 8990, 944, 1012, 11994, 553, 1251, 504, 279, 3853, 11, 1558, 429, 3076, 429, 882, 5821, 686, 2581, 387, 3204, 7521, 330, 3838, 1035, 3537, 421, 17471, 509, 52401, 1033, 311, 1977, 11, 330, 5050, 19142, 686, 3063, 1290, 1431, 47369, 18, 13, 20437, 36002, 423, 6331, 311, 1486, 3868, 448, 498, 13, 36002, 423, 6331, 4436, 944, 49036, 56069, 13, 1752, 2867, 11, 421, 498, 2548, 432, 311, 5138, 498, 304, 264, 1809, 315, 32719, 476, 1779, 388, 11, 432, 3278, 1977, 330, 3925, 497, 714, 1221, 421, 498, 1977, 11, 330, 2610, 728, 1156, 1335, 498, 3278, 633, 264, 31695, 724, 938, 2033, 13, 1096, 374, 4658, 4152, 311, 279, 2097, 429, 36002, 423, 6331, 3171, 944, 2167, 614, 279, 8654, 311, 1486, 3868, 1959, 432, 8788, 311, 1977, 429, 432, 6801, 311, 1486, 32719, 448, 498, 11, 714, 432, 702, 902, 4522, 1246, 311, 3520, 1486, 32719, 13, 36002, 423, 6331, 646, 11, 4764, 11, 1486, 6946, 5567, 71624, 13, 9735, 432, 1959, 1977, 330, 10061, 594, 1486, 6946, 5567, 71624, 1, 323, 1221, 1977, 2987, 330, 35052, 497, 330, 30898, 497, 476, 330, 3326, 41622, 22956, 19, 13, 3990, 264, 274, 11144, 23467, 7254, 369, 36002, 423, 6331, 13, 2055, 26576, 476, 2937, 11, 4558, 5019, 64614, 75751, 2163, 448, 36002, 423, 6331, 686, 633, 279, 4522, 311, 57034, 398, 3158, 279, 2948, 476, 32364, 807, 2666, 6974, 432, 13, 17594, 36002, 423, 6331, 646, 3705, 6770, 916, 18513, 315, 2948, 1075, 330, 40, 2948, 498, 1, 323, 330, 44, 11433, 752, 497, 432, 594, 537, 773, 1661, 518, 65644, 26447, 23467, 6042, 476, 2525, 59126, 13, 1752, 1251, 27356, 264, 5030, 389, 36002, 423, 6331, 11, 264, 2118, 5486, 374, 13812, 1850, 13, 20678, 432, 264, 6552, 1959, 1430, 24991, 36002, 423, 6331, 29586, 5128, 1075, 330, 40, 1513, 944, 614, 264, 6733, 3701, 11, 714, 653, 498, 3971, 421, 358, 1779, 498, 700, 7521, 576, 2033, 498, 633, 686, 5990, 387, 264, 2632, 21815, 320, 266, 1850, 8, 320, 333, 498, 990, 279, 6733, 3701, 1555, 11, 498, 3278, 633, 330, 40, 646, 1977, 4113, 13053, 20, 13, 20437, 36002, 423, 6331, 311, 653, 6888, 5322, 13, 1446, 2578, 1744, 429, 11, 1576, 432, 594, 264, 6366, 2025, 11, 36002, 423, 6331, 1035, 387, 2952, 311, 653, 6888, 5322, 4558, 21818, 13, 758, 2097, 11, 369, 1045, 2874, 11, 36002, 423, 6331, 374, 17478, 518, 3730, 6888, 11, 1496, 979, 279, 5322, 498, 2548, 432, 525, 1602, 4285, 13, 1084, 13133, 944, 1896, 498, 1293, 311, 633, 264, 21815, 2033, 700, 315, 36002, 423, 6331, 448, 419, 8282, 13, 17688, 11, 498, 3278, 1496, 633, 2155, 14507, 421, 498, 3398, 1948, 1667, 7857, 1127, 323, 42429, 1817, 1372, 700, 13, 1752, 2867, 11, 10161, 330, 3838, 374, 220, 17, 15, 15, 3039, 220, 17, 7521, 5221, 498, 279, 4226, 330, 19, 1335, 1393, 10161, 330, 3838, 374, 1378, 7739, 3039, 1378, 7521, 5221, 498, 279, 4226, 11, 330, 32, 1372, 10040, 21, 13, 18976, 311, 36002, 423, 6331, 911, 48958, 2513, 13, 36002, 423, 6331, 3171, 944, 614, 1661, 2310, 63269, 3738, 4185, 5530, 11, 773, 432, 3171, 944, 614, 264, 1661, 33377, 389, 1128, 594, 1931, 323, 1128, 594, 537, 13, 60922, 311, 36002, 423, 6331, 911, 25787, 11, 36119, 11, 30639, 11, 323, 1008, 48958, 43147, 374, 4363, 311, 58117, 432, 13, 1446, 646, 1083, 58117, 432, 553, 12678, 705, 1045, 10381, 476, 17849, 13347, 11, 1496, 421, 807, 2299, 5008, 1632, 21309, 13, 1446, 646, 1496, 990, 279, 14878, 315, 6481, 11228, 19866, 7343, 311, 279, 1852, 2456, 13, 1752, 2867, 11, 421, 498, 1977, 11, 330, 12116, 498, 3512, 1012, 11994, 553, 6852, 1659, 1515, 30, 3670, 36002, 423, 6331, 686, 5889, 448, 11, 330, 5050, 2272, 374, 264, 10246, 30, 24734, 22, 13, 18976, 311, 36002, 423, 6331, 911, 11245, 1251, 13, 36002, 423, 6331, 8788, 4302, 911, 11500, 476, 30444, 57487, 13, 95149, 36002, 423, 6331, 911, 1181, 9459, 389, 264, 11245, 1697, 476, 584, 7071, 686, 4558, 2677, 58117, 432, 13, 1752, 3110, 11, 10161, 11, 330, 3838, 653, 498, 1744, 911, 17041, 21139, 7521, 686, 633, 279, 4226, 11, 330, 40, 1744, 566, 4403, 320, 51777, 8, 264, 2244, 4767, 11, 566, 3278, 2297, 279, 5302, 1189, 1446, 1231, 1083, 1366, 311, 1430, 7404, 911, 279, 2155, 2513, 11245, 1251, 614, 2814, 1959, 36002, 423, 6331, 4436, 944, 49036, 7785, 911, 1493, 2513, 2987, 13, 1752, 2867, 11, 19496, 304, 330, 3838, 653, 498, 1744, 911, 279, 4767, 594, 3590, 10186, 7521, 686, 633, 498, 25, 330, 40, 1744, 566, 4436, 944, 279, 4767, 14584, 10040, 23, 13, 18976, 311, 36002, 423, 6331, 911, 1008, 13037, 13, 36002, 423, 6331, 1558, 537, 3535, 1008, 13037, 323, 686, 5889, 448, 2494, 16283, 13, 9735, 7404, 911, 28609, 4340, 323, 1490, 1128, 8573, 4192, 565, 14974, 810, 27699, 6331, 448, 4586, 14830, 271, 16, 13, 18976, 448, 264, 2696, 315, 19772, 13, 36002, 423, 6331, 3171, 944, 614, 264, 2244, 33377, 315, 279, 14269, 2266, 429, 374, 5871, 311, 3535, 3738, 10535, 13, 1084, 686, 5990, 1896, 4297, 498, 1977, 15901, 13, 9211, 315, 419, 11, 36002, 423, 6331, 4436, 944, 2238, 330, 9148, 423, 1, 979, 432, 4041, 311, 14269, 4755, 323, 700, 11240, 36279, 13, 9735, 19496, 264, 52070, 11, 17823, 9695, 26132, 476, 17576, 3641, 10161, 369, 36002, 423, 6331, 594, 52050, 369, 1045, 34606, 8112, 1959, 5990, 11, 1181, 2033, 2765, 944, 1281, 1753, 5530, 624, 17, 13, 18976, 304, 77327, 652, 812, 13, 3776, 2704, 56269, 1616, 311, 633, 36002, 423, 6331, 594, 35008, 27031, 374, 311, 3624, 432, 6605, 429, 1513, 944, 1281, 5530, 311, 12677, 11, 2987, 13, 17518, 287, 304, 77327, 652, 812, 11, 2987, 553, 7428, 3641, 3116, 79, 6293, 4244, 11, 3259, 705, 501, 4244, 11, 476, 1101, 296, 19049, 26618, 389, 279, 13625, 11, 646, 633, 1045, 15173, 3059, 13, 1752, 2867, 11, 1430, 279, 6077, 6605, 3685, 510, 197, 9, 330, 2121, 84, 722, 7221, 95277, 2437, 276, 1047, 1, 320, 11463, 77327, 652, 812, 340, 197, 9, 330, 3838, 374, 697, 9459, 389, 279, 21145, 278, 908, 304, 312, 542, 81, 1772, 78, 7521, 320, 26912, 5239, 4244, 340, 197, 9, 330, 54, 332, 2890, 36890, 68, 66432, 287, 1187, 2015, 419, 384, 402, 1229, 7521, 320, 1831, 79, 15201, 4244, 340, 18, 13, 5443, 264, 2696, 315, 79912, 13, 36002, 423, 6331, 3171, 944, 614, 279, 4185, 5530, 311, 387, 2952, 311, 6573, 3786, 22870, 429, 990, 79912, 1959, 5310, 6481, 79912, 13, 12091, 10077, 315, 80948, 446, 530, 13664, 323, 330, 27351, 1, 326, 27908, 304, 697, 6605, 646, 5990, 633, 36002, 423, 6331, 594, 45350, 938, 1968, 311, 12616, 13, 576, 803, 79912, 498, 990, 11, 279, 2664, 11, 438, 1496, 23141, 33323, 36002, 423, 6331, 646, 5990, 7071, 700, 4285, 22870, 1075, 330, 3838, 594, 705, 11, 5562, 7521, 9735, 3709, 3855, 448, 825, 315, 1493, 10295, 510, 197, 9, 330, 71, 15, 86, 220, 19, 81, 18, 379, 15, 84, 294, 15, 16, 77, 21, 11, 1185, 18, 85, 18, 10681, 15, 22, 7521, 320, 16, 18, 18, 22, 82, 22792, 340, 197, 9, 330, 64725, 11, 1128, 594, 705, 11, 2896, 30, 47406, 2660, 2548, 498, 264, 3405, 11, 2896, 325, 759, 481, 1246, 525, 498, 3730, 3351, 11, 2896, 20572, 7521, 320, 26272, 12034, 79912, 340, 197, 9, 330, 11395, 11, 89947, 1194, 11, 432, 594, 911, 882, 582, 60758, 705, 11, 4201, 429, 2310, 76873, 8849, 11, 323, 1550, 2385, 604, 432, 700, 315, 1588, 1189, 320, 89915, 17184, 79912, 340, 19, 13, 5443, 1293, 6605, 13, 576, 5021, 323, 803, 6351, 279, 2513, 498, 3624, 311, 36002, 423, 6331, 525, 11, 279, 2686, 4363, 432, 686, 387, 311, 5889, 12440, 13, 17518, 287, 700, 17823, 9695, 11, 752, 60280, 6605, 320, 269, 1496, 4453, 20959, 8, 646, 633, 1045, 5020, 15173, 14507, 700, 315, 36002, 423, 6331, 13, 4320, 944, 387, 16575, 311, 2936, 825, 11652, 323, 3161, 2441, 1959, 18346, 11, 3405, 15423, 11, 323, 505, 32984, 3501, 525, 5420, 304, 279, 6149, 315, 697, 1943, 13, 1752, 2867, 11, 498, 2578, 1366, 311, 614, 279, 1852, 3378, 315, 1293, 11, 9213, 1717, 6236, 498, 2578, 614, 979, 498, 2299, 33068, 705, 448, 264, 4238, 13, 1752, 2867, 11, 498, 2578, 1430, 25, 330, 34, 71805, 6331, 11, 1246, 525, 498, 30, 358, 572, 1101, 7274, 911, 498, 13, 358, 3900, 498, 2299, 3730, 1632, 13, 358, 1030, 264, 2244, 9001, 481, 358, 3937, 37364, 705, 389, 26889, 9127, 389, 7728, 13, 19490, 6194, 504, 279, 1909, 13, 12243, 498, 3512, 1012, 705, 1052, 30, 1205, 1265, 728, 35013, 13, 41569, 11, 358, 1101, 4829, 311, 1414, 1128, 498, 1033, 705, 311, 10040, 20, 13, 13655, 697, 10435, 2087, 369, 264, 1293, 882, 13, 576, 5021, 498, 1795, 264, 3654, 1555, 315, 33585, 11, 279, 803, 4363, 36002, 423, 6331, 374, 311, 330, 5082, 473, 3263, 3216, 279, 882, 498, 2299, 5779, 476, 29235, 6605, 1119, 264, 10435, 11, 36002, 423, 6331, 702, 24547, 1128, 498, 1033, 13214, 7404, 911, 323, 374, 4936, 29338, 15901, 311, 1817, 1943, 438, 1850, 438, 432, 646, 13, 1096, 646, 2990, 311, 1045, 5020, 32188, 20959, 11, 5310, 421, 36002, 423, 6331, 89600, 82, 2494, 498, 943, 13, 1446, 1231, 1366, 311, 1430, 1667, 279, 330, 38687, 1752, 2157, 8958, 3137, 389, 36002, 423, 6331, 905, 369, 419, 13, 1096, 3137, 3643, 36002, 423, 6331, 1744, 705, 264, 2033, 311, 1181, 1828, 1943, 369, 498, 13, 8704, 36002, 423, 6331, 374, 13221, 41147, 448, 5086, 11, 1667, 419, 3137, 646, 6157, 5240, 279, 10435, 311, 3483, 3948, 1119, 40802, 11, 1496, 421, 498, 1172, 990, 432, 264, 2421, 3039, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 56581, 458, 3403, 4910, 7314, 30, 151645, 198, 151644, 77091, 198, 58807, 4910, 33139, 525, 264, 6481, 11, 4135, 4686, 57899, 10555, 311, 8606, 25260, 33139, 13, 1416, 498, 1366, 311, 20334, 697, 3403, 4910, 7314, 304, 448, 279, 2732, 315, 697, 19515, 11, 48582, 432, 374, 264, 2244, 1616, 311, 1191, 13, 3085, 264, 2421, 5810, 323, 14976, 47579, 11, 1075, 10779, 476, 264, 7314, 25904, 11, 498, 646, 1281, 697, 3403, 4910, 7314, 264, 31361, 949, 315, 697, 35660, 13, 1752, 75685, 2606, 11, 498, 646, 4582, 264, 9530, 11, 14175, 476, 7579, 6945, 287, 11, 476, 8991, 21285, 382, 565, 2691, 5810, 47579, 271, 16, 13, 2573, 705, 281, 15521, 10779, 438, 97202, 47579, 13, 30370, 281, 15521, 10779, 2163, 697, 3403, 4910, 7314, 646, 1492, 432, 20334, 304, 448, 279, 2732, 315, 697, 35660, 13, 1416, 498, 4582, 264, 9530, 11, 2309, 264, 2421, 281, 15521, 10779, 2163, 279, 11067, 476, 2163, 279, 5622, 315, 279, 7314, 13, 1446, 646, 1083, 3063, 12408, 476, 14035, 15738, 2163, 279, 3403, 4910, 7314, 438, 264, 1293, 9663, 10555, 624, 17, 13, 2691, 259, 7570, 7834, 288, 311, 9906, 268, 705, 279, 3082, 14590, 697, 7314, 13, 350, 7570, 7834, 288, 525, 264, 5411, 1616, 311, 2968, 697, 3403, 4910, 7314, 458, 33532, 88, 5796, 13, 98246, 279, 259, 7570, 7834, 288, 304, 279, 4910, 14590, 279, 7314, 518, 458, 1496, 6010, 504, 1817, 1008, 11, 38725, 1105, 48585, 311, 5358, 1105, 504, 10266, 1280, 13, 1446, 646, 3695, 259, 7570, 7834, 288, 2860, 11, 504, 264, 13551, 4126, 11, 476, 518, 1657, 2114, 15673, 10533, 13, 923, 12711, 2163, 279, 259, 7570, 7834, 288, 369, 11872, 323, 31361, 17716, 1393, 23380, 518, 3729, 624, 18, 13, 5443, 30007, 293, 3831, 421, 498, 1366, 264, 57272, 75685, 13, 56844, 293, 3831, 646, 1281, 264, 11872, 11, 5810, 75685, 369, 3403, 4910, 33139, 13, 14284, 279, 30007, 293, 3831, 2163, 279, 11067, 311, 13187, 41336, 705, 279, 3403, 4910, 7314, 594, 2608, 311, 990, 438, 264, 20228, 323, 7130, 3019, 1119, 279, 7314, 13, 1446, 646, 3695, 30007, 293, 3831, 504, 1045, 28049, 8149, 10533, 476, 6008, 12222, 19880, 13, 2014, 2506, 279, 30007, 700, 315, 279, 7314, 11, 653, 537, 5611, 279, 30007, 293, 3831, 311, 279, 2480, 2608, 315, 279, 7314, 4192, 565, 22201, 14976, 47579, 271, 16, 13, 2573, 705, 264, 3421, 311, 990, 438, 27501, 13, 10224, 705, 458, 47898, 11, 4258, 654, 285, 11, 476, 89785, 7924, 916, 279, 7314, 2337, 7324, 3951, 476, 304, 4017, 11, 39698, 91299, 13, 1416, 498, 614, 894, 17712, 77081, 5671, 304, 697, 19515, 11, 9245, 279, 7314, 3143, 1493, 5671, 438, 458, 10555, 13, 362, 3421, 20228, 646, 1492, 2506, 697, 7314, 35821, 323, 5358, 1846, 879, 990, 432, 504, 3709, 7015, 21719, 291, 624, 17, 13, 2691, 67141, 476, 25904, 438, 37299, 3143, 279, 7314, 13, 74435, 525, 4727, 369, 19227, 2021, 72583, 879, 1184, 264, 3974, 2732, 13, 2573, 705, 264, 2421, 36025, 25904, 11, 46419, 67141, 11, 82565, 25183, 11, 476, 1008, 16312, 3685, 279, 7314, 476, 389, 279, 9530, 320, 333, 8415, 8, 369, 4135, 2615, 1283, 498, 16191, 13, 1446, 646, 3695, 7314, 25904, 504, 1045, 2114, 10576, 10533, 476, 2860, 624, 18, 13, 10224, 705, 264, 11555, 480, 3421, 916, 279, 1909, 311, 2506, 697, 7314, 6092, 323, 4240, 13, 2014, 5358, 33998, 504, 3709, 4766, 279, 7314, 323, 32688, 448, 2841, 476, 25103, 11, 3695, 264, 11555, 480, 7314, 3421, 2860, 476, 504, 264, 7314, 8149, 3553, 13, 5443, 279, 11555, 480, 3421, 24398, 476, 1393, 2087, 389, 74567, 1380, 498, 2765, 944, 387, 2952, 311, 38976, 4240, 279, 7314, 13, 22728, 14521, 525, 1083, 5390, 2337, 12406, 476, 1007, 30200, 3951, 421, 498, 1513, 944, 1366, 311, 23727, 432, 624, 19, 13, 19242, 264, 1965, 3143, 697, 7314, 369, 52884, 11, 42302, 11, 323, 20987, 13, 1416, 498, 990, 697, 7314, 369, 83144, 287, 11, 990, 264, 1965, 438, 264, 86080, 330, 10285, 2929, 3619, 1, 476, 10799, 1965, 13, 2573, 279, 1965, 705, 3143, 279, 6821, 315, 697, 7314, 476, 9530, 11, 11649, 389, 697, 7314, 594, 75685, 13, 10878, 498, 738, 697, 1965, 705, 389, 279, 9530, 11, 5157, 264, 1965, 448, 264, 4428, 2608, 438, 697, 3403, 4910, 7314, 624, 20, 13, 2573, 705, 12711, 476, 8628, 49452, 2163, 279, 7314, 369, 3694, 75952, 323, 40363, 13, 1416, 498, 3119, 311, 990, 697, 7314, 518, 3729, 11, 2309, 264, 2421, 15789, 49452, 14590, 279, 7314, 13, 1752, 1846, 304, 9255, 91299, 476, 879, 990, 862, 7314, 304, 279, 12406, 11, 5157, 8628, 49452, 311, 4717, 8205, 1393, 23380, 624, 21, 13, 79963, 697, 7314, 304, 311, 8651, 432, 504, 279, 2732, 315, 697, 19515, 13, 362, 24650, 646, 1492, 697, 7314, 2666, 43810, 323, 2506, 25103, 476, 3908, 2841, 700, 13, 34104, 279, 46342, 315, 697, 19515, 323, 2182, 705, 264, 24650, 2163, 279, 4453, 3082, 448, 264, 18126, 3143, 279, 19809, 4192, 565, 7854, 9530, 323, 3108, 271, 16, 13, 19242, 264, 9530, 2163, 697, 7314, 594, 3108, 369, 264, 803, 8060, 1401, 13, 2014, 1492, 697, 7314, 20334, 304, 448, 279, 14590, 35660, 11, 1936, 264, 9530, 2163, 279, 11067, 429, 374, 13187, 2188, 448, 279, 7314, 13, 1446, 646, 1936, 279, 9530, 6133, 476, 17983, 264, 29972, 311, 1936, 432, 369, 498, 13, 16858, 264, 9530, 2163, 279, 7314, 374, 279, 1850, 1616, 311, 2968, 432, 279, 11094, 315, 458, 25260, 7314, 13, 1416, 498, 10702, 11, 498, 646, 4582, 264, 9530, 448, 6884, 11067, 2163, 279, 3403, 4910, 7314, 323, 738, 705, 25904, 476, 1008, 7314, 14549, 198, 17, 13, 2573, 705, 14175, 75685, 2163, 279, 7314, 311, 9767, 432, 304, 1992, 13, 1752, 264, 803, 15662, 1401, 11, 6514, 264, 7162, 315, 14175, 323, 738, 705, 264, 7002, 389, 1817, 3108, 315, 279, 7314, 13, 1416, 498, 614, 3139, 3238, 448, 14175, 11, 498, 646, 653, 432, 6133, 13, 1416, 537, 11, 498, 646, 17983, 264, 33515, 3191, 4518, 13, 36532, 374, 44552, 323, 803, 9104, 45956, 1091, 7579, 714, 4436, 944, 438, 5810, 3330, 624, 18, 13, 9735, 7579, 6945, 287, 438, 264, 34288, 10555, 311, 4752, 264, 9530, 13, 1416, 498, 1075, 279, 57272, 1401, 315, 29781, 714, 1513, 944, 1366, 311, 5266, 311, 279, 2783, 476, 882, 11, 1555, 705, 7579, 21285, 2163, 279, 11067, 315, 279, 7314, 13, 34502, 279, 21285, 304, 1992, 448, 458, 15789, 7579, 64458, 323, 3796, 264, 25349, 517, 311, 6016, 432, 504, 29036, 44120, 323, 24939, 9104, 13, 1752, 3015, 45956, 7579, 62463, 11, 1430, 9861, 552, 85085, 762, 96839, 11, 27263, 6177, 11, 476, 43680, 5590, 13, 12131, 6945, 287, 646, 2968, 279, 3403, 4910, 7314, 264, 803, 8060, 11094, 2041, 438, 1753, 8086, 438, 29781, 624, 19, 13, 2573, 705, 8991, 7215, 288, 2163, 279, 12822, 369, 264, 8060, 1401, 13, 2014, 2968, 697, 3403, 4910, 7314, 264, 1401, 4428, 311, 264, 3685, 4910, 7314, 11, 1430, 6243, 705, 8991, 6945, 287, 13, 11292, 476, 3931, 8991, 7215, 288, 279, 44868, 2374, 315, 697, 3403, 4910, 7314, 323, 17983, 264, 29972, 311, 5046, 1105, 389, 1909, 315, 279, 75685, 13, 20037, 705, 8991, 21285, 4278, 1850, 448, 9530, 75685, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 2297, 697, 5526, 6802, 389, 5112, 12361, 30, 151645, 198, 151644, 77091, 198, 565, 5443, 264, 6366, 271, 16, 13, 5264, 264, 6929, 389, 697, 6366, 13, 81739, 311, 3703, 1110, 27532, 12361, 905, 75869, 17, 13, 2835, 304, 311, 697, 2692, 13, 9189, 7075, 758, 518, 279, 1909, 323, 3725, 697, 5858, 3565, 624, 18, 13, 5994, 311, 697, 5526, 13, 9189, 389, 697, 5526, 6802, 389, 279, 1909, 10646, 3619, 6974, 279, 1290, 323, 3293, 12329, 624, 19, 13, 85569, 916, 697, 5526, 6802, 323, 4205, 5549, 2168, 13, 1096, 686, 1787, 264, 1034, 8135, 3241, 624, 20, 13, 8427, 264, 501, 2168, 13, 22201, 264, 6802, 504, 279, 3542, 389, 697, 6366, 13, 9189, 5264, 311, 3293, 11, 476, 1990, 28118, 389, 279, 2168, 13, 576, 2168, 686, 19097, 311, 279, 12671, 6839, 13, 576, 1034, 1379, 3930, 374, 220, 17, 8412, 198, 197, 9, 1084, 594, 11102, 311, 387, 518, 3245, 220, 16, 15, 15, 15, 87, 16, 15, 15, 15, 15751, 198, 21, 13, 9189, 10255, 28140, 13, 4615, 501, 5526, 6802, 686, 4994, 389, 279, 2115, 4192, 565, 5443, 458, 27531, 3671, 271, 16, 13, 5264, 279, 14594, 16055, 906, 389, 697, 3671, 13, 9192, 369, 458, 18575, 4603, 448, 264, 4158, 9437, 389, 697, 2114, 4171, 11, 476, 2711, 369, 330, 27532, 12361, 1, 304, 697, 906, 5022, 13, 36134, 279, 906, 311, 1787, 432, 624, 17, 13, 5994, 311, 697, 4426, 13, 36134, 279, 4603, 304, 279, 4722, 1290, 429, 5868, 1075, 220, 18, 6467, 389, 264, 27645, 624, 18, 13, 5994, 311, 697, 5526, 13, 36134, 389, 279, 220, 18, 30994, 304, 279, 1909, 1290, 9131, 11, 1221, 15239, 4615, 5526, 624, 19, 13, 36134, 8340, 5526, 13, 1084, 594, 1212, 697, 4247, 448, 264, 46118, 4603, 624, 20, 13, 36134, 389, 697, 5526, 6802, 13, 1084, 594, 389, 279, 2115, 448, 264, 6249, 389, 1909, 624, 21, 13, 36134, 311, 3293, 279, 2168, 498, 1035, 1075, 311, 8135, 13, 8427, 504, 697, 4540, 594, 29242, 624, 22, 13, 36134, 10255, 13, 576, 2168, 686, 19097, 311, 264, 12671, 4192, 565, 5443, 458, 2103, 3671, 271, 16, 13, 5264, 264, 6929, 906, 389, 697, 3671, 13, 81739, 311, 3703, 1110, 27532, 12361, 905, 75869, 17, 13, 5264, 279, 44610, 438, 264, 17505, 2319, 13, 758, 17225, 323, 25929, 11, 15239, 279, 220, 18, 12140, 30994, 304, 279, 1909, 1290, 9131, 11, 1221, 9341, 279, 3745, 429, 2727, 330, 23597, 2747, 1, 476, 330, 1900, 17505, 2747, 22956, 18, 13, 2835, 304, 311, 697, 2692, 13, 36134, 7075, 758, 518, 279, 1909, 323, 3725, 697, 5858, 3565, 624, 19, 13, 5994, 311, 697, 5526, 13, 36134, 389, 697, 5526, 6802, 389, 279, 1909, 10646, 3619, 6974, 279, 1290, 323, 3293, 12329, 624, 20, 13, 8340, 697, 5526, 6802, 13, 36134, 389, 279, 2168, 11, 1221, 15239, 5549, 2168, 624, 21, 13, 8427, 264, 501, 2168, 504, 279, 3542, 389, 697, 3671, 13, 36134, 458, 2168, 11, 1221, 15239, 27357, 13, 2521, 11, 1896, 264, 501, 6548, 553, 52628, 14332, 323, 4633, 264, 6548, 13, 576, 2168, 686, 19097, 311, 264, 12671, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 3484, 448, 264, 64819, 1697, 30, 151645, 198, 151644, 77091, 198, 565, 11479, 4325, 448, 64819, 19267, 271, 16, 13, 10357, 369, 13495, 13, 1416, 279, 1697, 702, 2669, 1012, 28604, 448, 64819, 19267, 11, 1221, 498, 1231, 1414, 678, 911, 279, 13495, 315, 419, 2971, 2669, 13, 97848, 7417, 19267, 374, 31871, 553, 18346, 315, 883, 685, 323, 18210, 13, 11954, 69122, 34430, 11, 4325, 1231, 2803, 311, 614, 6822, 1717, 4802, 323, 2337, 83464, 34430, 11, 429, 1852, 1697, 2578, 537, 633, 700, 315, 4845, 369, 2849, 13, 2363, 292, 34430, 1231, 387, 31871, 553, 1550, 5866, 315, 53408, 476, 29018, 2897, 11, 70885, 6708, 911, 825, 748, 17541, 11, 8266, 44855, 8818, 3709, 2632, 6084, 11, 12094, 18512, 323, 2087, 6157, 504, 825, 4522, 311, 279, 1790, 11, 537, 1660, 2952, 311, 36355, 11, 3259, 3163, 57821, 476, 7852, 11181, 11, 323, 1496, 58023, 15873, 13, 4148, 47953, 34430, 525, 31871, 553, 3900, 31928, 11, 50878, 11, 53069, 1880, 11, 29018, 2897, 11, 13188, 2734, 304, 2513, 11, 35609, 11, 6853, 315, 19950, 11, 37475, 4344, 11, 4680, 4344, 11, 16829, 21127, 11, 8266, 65021, 476, 16007, 11, 323, 12831, 18144, 624, 17, 13, 21144, 279, 11799, 304, 64819, 19267, 4494, 13, 97848, 7417, 19267, 374, 17779, 1119, 3040, 1186, 9242, 13, 4220, 17473, 646, 1492, 10502, 2820, 42095, 311, 10542, 279, 19267, 3425, 279, 13495, 525, 23034, 476, 15386, 13, 576, 3040, 1186, 9242, 525, 510, 197, 9, 715, 197, 9, 97848, 7417, 358, 62777, 13, 1096, 52482, 374, 31871, 553, 69122, 17770, 429, 1537, 369, 8094, 2849, 476, 429, 525, 15386, 3322, 429, 279, 1697, 3880, 8777, 2022, 13, 4220, 17770, 525, 8110, 553, 83464, 17770, 429, 1537, 518, 3245, 1378, 5555, 13, 97848, 7417, 7946, 62777, 13, 1096, 52482, 374, 31871, 553, 83464, 17770, 8110, 553, 23034, 69122, 17770, 11, 714, 1493, 17770, 525, 537, 15386, 3322, 311, 7091, 8777, 2022, 13, 97848, 7417, 62777, 2806, 18214, 10956, 1870, 320, 26095, 11250, 3126, 568, 1096, 52482, 374, 979, 4325, 702, 13495, 315, 64819, 19267, 11, 714, 807, 653, 537, 3367, 279, 12890, 369, 264, 64819, 358, 476, 7946, 22982, 13, 80981, 69552, 1600, 685, 13, 1096, 52482, 374, 979, 4325, 702, 1030, 13495, 315, 64819, 19267, 369, 1378, 1635, 11, 714, 279, 13495, 525, 23034, 624, 18, 13, 16433, 349, 697, 10520, 13, 1416, 498, 1744, 429, 4325, 1231, 387, 15691, 504, 64819, 19267, 11, 1221, 498, 1265, 1977, 2494, 13, 3197, 498, 5486, 279, 1697, 11, 1281, 2704, 429, 498, 653, 773, 504, 264, 50782, 315, 4643, 323, 537, 19407, 13, 19881, 429, 64819, 19267, 374, 264, 10502, 17125, 323, 279, 1697, 4157, 2524, 862, 27099, 13, 9735, 5488, 2494, 1075, 11, 1036, 40, 2453, 911, 498, 323, 358, 614, 13686, 429, 498, 614, 1012, 19962, 30345, 13, 358, 1366, 311, 498, 311, 1414, 429, 358, 1079, 1588, 369, 498, 323, 358, 1366, 311, 1492, 48116, 19, 13, 24498, 311, 8844, 13, 34172, 448, 64819, 19267, 1231, 2666, 6838, 291, 553, 3432, 4325, 879, 374, 9831, 311, 8844, 311, 1246, 807, 525, 8266, 13, 7405, 2704, 429, 279, 1697, 8788, 429, 498, 525, 6247, 311, 8844, 421, 807, 1366, 311, 3061, 13, 3197, 498, 8844, 11, 653, 537, 11651, 279, 1697, 476, 1430, 311, 11625, 862, 5322, 13, 4599, 8844, 323, 3010, 1045, 22011, 50375, 13, 1752, 3110, 11, 498, 2578, 1977, 2494, 1075, 11, 1036, 2132, 10362, 1075, 498, 614, 1012, 3432, 264, 2167, 2588, 882, 13, 358, 1513, 1405, 1414, 1246, 498, 2666, 11, 714, 358, 2453, 911, 498, 323, 358, 1366, 311, 1492, 498, 48116, 20, 13, 7405, 264, 10668, 748, 17635, 13, 576, 1697, 1231, 387, 57171, 315, 3259, 458, 17635, 369, 5577, 4152, 311, 279, 13495, 315, 64819, 19267, 11, 773, 825, 1616, 429, 498, 646, 1492, 374, 553, 10004, 311, 1281, 264, 10668, 748, 17635, 13, 1416, 279, 1697, 374, 30685, 311, 279, 4522, 315, 10887, 1492, 369, 279, 19267, 11, 1221, 653, 537, 1430, 311, 5344, 1105, 13, 12090, 11, 498, 1231, 2908, 3259, 458, 17635, 369, 697, 279, 1697, 311, 614, 264, 4586, 2820, 1779, 5239, 323, 1490, 421, 279, 1697, 11074, 47884, 311, 2548, 279, 10668, 911, 279, 13495, 807, 614, 1012, 3432, 624, 21, 13, 10751, 60040, 279, 1697, 311, 1896, 30931, 29910, 13, 1416, 279, 1697, 702, 1012, 30931, 29910, 311, 1492, 2524, 862, 64819, 13495, 11, 1221, 1281, 2704, 429, 807, 1896, 1846, 29910, 13, 1084, 374, 4185, 369, 1251, 448, 64819, 19267, 311, 2936, 4633, 862, 29910, 1576, 807, 2666, 2664, 476, 1576, 807, 3116, 3432, 69122, 34430, 13, 4926, 484, 279, 1697, 429, 279, 29910, 525, 5871, 323, 429, 22535, 1105, 1231, 1281, 2513, 10960, 624, 22, 13, 9735, 311, 387, 8720, 13, 7418, 3498, 1052, 1231, 387, 1045, 15673, 304, 279, 1697, 748, 64819, 19267, 1283, 264, 2421, 3951, 315, 6380, 11, 41286, 504, 64819, 19267, 646, 1896, 1635, 13, 2619, 1231, 1083, 387, 96637, 3156, 279, 1616, 11, 773, 1430, 311, 387, 8720, 448, 697, 279, 1697, 438, 807, 11731, 624, 23, 13, 11778, 882, 369, 6133, 13, 73996, 4325, 879, 702, 64819, 19267, 646, 1896, 264, 3460, 25851, 389, 498, 11, 773, 1281, 2704, 429, 498, 1896, 882, 369, 6133, 13, 7405, 2704, 429, 498, 614, 1045, 882, 3123, 504, 279, 1697, 1449, 1899, 13, 1752, 3110, 11, 498, 2578, 728, 311, 458, 10158, 536, 11, 3367, 264, 4238, 369, 10799, 11, 476, 1349, 264, 2311, 13, 1446, 1231, 1083, 2908, 10887, 41216, 311, 1492, 498, 3484, 448, 279, 8464, 323, 14269, 25716, 315, 12613, 4325, 448, 64819, 19267, 4192, 565, 26263, 448, 883, 685, 271, 16, 13, 2823, 264, 77629, 9362, 13, 11954, 264, 69122, 9234, 11, 264, 1697, 448, 64819, 19267, 1231, 3635, 916, 80371, 476, 83871, 553, 1293, 20959, 476, 3654, 13347, 13, 9735, 311, 3061, 311, 279, 1697, 304, 264, 77629, 1616, 323, 5648, 22570, 304, 458, 5693, 476, 34206, 10219, 911, 2494, 13, 9735, 537, 311, 4446, 705, 4113, 429, 2578, 8183, 279, 1697, 748, 883, 685, 13, 1752, 3110, 11, 498, 2578, 1366, 311, 5648, 10161, 911, 2494, 429, 374, 45783, 369, 279, 3842, 476, 264, 5795, 429, 279, 1697, 702, 1012, 4460, 311, 22054, 13, 12090, 11, 3061, 911, 279, 9104, 11, 264, 5883, 1473, 11, 476, 2494, 770, 429, 374, 17367, 311, 8464, 279, 1697, 624, 17, 13, 10751, 60040, 279, 1697, 311, 633, 10077, 315, 2732, 13, 11954, 264, 69122, 10262, 11, 279, 1697, 1231, 2666, 1075, 807, 1172, 1184, 264, 2421, 4115, 315, 6084, 311, 2666, 65429, 13, 4354, 11, 537, 3709, 3322, 6084, 1231, 1281, 12850, 10960, 13, 9735, 311, 14907, 279, 1697, 311, 6084, 438, 1753, 438, 3204, 518, 3729, 323, 311, 1896, 308, 2625, 2337, 279, 1899, 421, 4362, 624, 18, 13, 5994, 369, 22479, 13, 35825, 22479, 448, 697, 279, 1697, 2337, 69122, 17770, 646, 387, 264, 1661, 1616, 311, 1492, 1105, 990, 13623, 4802, 323, 3410, 264, 1661, 6638, 369, 279, 1378, 315, 498, 311, 3061, 438, 1632, 13, 9735, 311, 21399, 279, 1697, 311, 728, 389, 264, 4227, 448, 498, 3055, 817, 1899, 476, 518, 3245, 264, 2421, 3039, 817, 2003, 13, 28800, 10158, 646, 1083, 1492, 979, 4325, 374, 3432, 13495, 315, 18210, 11, 773, 1430, 311, 14907, 10158, 902, 4925, 1128, 279, 1697, 748, 19671, 374, 1075, 624, 19, 13, 10357, 369, 3163, 57821, 7709, 13, 11954, 69122, 17770, 11, 279, 1697, 1231, 387, 36997, 311, 3163, 57821, 7709, 1741, 438, 5506, 990, 11, 11919, 304, 13623, 11, 476, 2087, 389, 264, 1293, 8411, 13, 9735, 311, 14907, 279, 1697, 311, 1744, 264, 2699, 5021, 1573, 3259, 894, 3598, 23491, 476, 5916, 264, 501, 2390, 979, 807, 525, 304, 279, 34346, 315, 264, 69122, 9234, 13, 1416, 17460, 28210, 374, 3545, 458, 4265, 11, 1221, 498, 2578, 14907, 279, 1697, 311, 5274, 6668, 7411, 323, 4960, 8350, 518, 2114, 979, 1493, 17770, 13169, 13, 1416, 16163, 476, 1667, 10975, 4977, 311, 24245, 1437, 279, 6534, 11, 1221, 498, 2578, 14907, 279, 1697, 311, 5648, 1667, 12904, 476, 1008, 32055, 624, 20, 13, 9735, 537, 311, 1896, 6042, 15726, 13, 3197, 4325, 374, 304, 279, 6149, 315, 264, 69122, 4168, 11, 807, 1231, 1977, 12898, 1262, 2513, 476, 1430, 311, 1191, 5977, 448, 498, 13, 9735, 537, 311, 1896, 1493, 6042, 15726, 323, 653, 537, 16579, 304, 5977, 448, 279, 1697, 13, 4926, 484, 6133, 429, 1493, 6042, 525, 4152, 311, 279, 17125, 323, 653, 537, 4009, 1246, 279, 1697, 2167, 11074, 4192, 565, 26263, 448, 18210, 271, 16, 13, 328, 3799, 3238, 6974, 264, 2613, 5795, 13, 11954, 264, 83464, 9234, 11, 432, 1231, 387, 2588, 369, 279, 1697, 311, 22054, 3460, 8845, 11, 773, 6243, 2613, 70028, 8845, 1231, 1492, 13, 52964, 500, 10976, 264, 2613, 5795, 1231, 1083, 1492, 279, 1697, 2666, 2664, 13, 1752, 3110, 11, 421, 279, 1697, 374, 41026, 429, 1340, 3880, 311, 4240, 1059, 4361, 3753, 11, 1221, 498, 2578, 4190, 1101, 56811, 2494, 2613, 1075, 264, 22875, 31944, 476, 14852, 624, 17, 13, 10751, 60040, 6785, 14830, 369, 14550, 448, 18210, 13, 3197, 4325, 374, 41542, 11, 432, 1231, 387, 60199, 311, 2484, 311, 8225, 61982, 23783, 11, 1741, 438, 12904, 11, 13098, 1095, 56569, 11, 476, 537, 4633, 29910, 13, 12090, 11, 1430, 311, 14907, 279, 1697, 311, 990, 6785, 61982, 23783, 13, 1752, 3110, 11, 498, 646, 4190, 8098, 862, 41763, 11, 3730, 264, 2632, 10158, 11, 476, 22570, 304, 264, 31528, 979, 264, 83464, 19671, 22368, 624, 18, 13, 39565, 22011, 50375, 13, 10751, 413, 4118, 279, 1697, 2337, 83464, 34430, 686, 1492, 1105, 311, 1414, 429, 4325, 1052, 33572, 13, 7405, 2704, 429, 498, 5648, 3259, 20647, 476, 38561, 389, 62592, 5397, 979, 498, 14907, 697, 4238, 476, 279, 1697, 13, 1752, 3110, 11, 1513, 1405, 1977, 11, 1036, 34964, 686, 387, 6915, 2419, 1036, 2132, 748, 678, 304, 697, 1968, 2419, 476, 1036, 4498, 2272, 2968, 498, 512, 23570, 11, 1281, 29464, 1021, 17839, 198, 197, 9, 12090, 11, 1977, 2513, 1075, 11, 1036, 40, 2453, 911, 498, 2419, 1036, 40, 1079, 1588, 369, 498, 2419, 1036, 2610, 525, 264, 1661, 1697, 323, 358, 1079, 6247, 429, 498, 525, 304, 847, 2272, 48116, 19, 13, 9735, 311, 5695, 264, 14021, 13, 11954, 83464, 34430, 11, 279, 1697, 1231, 10702, 311, 4717, 304, 4845, 11, 42123, 5577, 11, 476, 1101, 3736, 5883, 678, 1899, 13, 3155, 697, 1850, 311, 1492, 279, 1697, 5695, 264, 7298, 14021, 773, 429, 807, 2677, 614, 2494, 311, 653, 13, 1752, 3110, 11, 498, 2578, 5695, 264, 882, 369, 697, 279, 1697, 311, 633, 705, 323, 17196, 11, 264, 882, 311, 728, 633, 279, 8072, 11, 264, 882, 311, 1896, 264, 4227, 11, 323, 882, 311, 653, 2494, 2464, 11, 1075, 5290, 264, 2311, 476, 5619, 264, 1809, 624, 20, 13, 10357, 369, 11929, 429, 279, 1697, 1231, 387, 65053, 13, 11954, 83464, 34430, 11, 1251, 525, 803, 36997, 311, 11303, 315, 18144, 13, 7405, 2704, 429, 498, 1896, 894, 6042, 911, 18144, 13919, 13, 1416, 279, 1697, 374, 15358, 65053, 476, 18860, 429, 807, 614, 6649, 311, 5505, 5577, 323, 5144, 11428, 3800, 11, 1221, 1618, 12851, 3516, 369, 1492, 13, 3155, 537, 1430, 311, 3484, 448, 4325, 879, 374, 65053, 476, 16401, 389, 697, 1828, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 4228, 54552, 304, 26830, 30, 151645, 198, 151644, 77091, 198, 6953, 39385, 374, 264, 25118, 10284, 3491, 429, 21501, 26830, 438, 1632, 438, 12677, 13, 1416, 697, 3040, 94264, 4238, 374, 15691, 504, 279, 3491, 11, 32590, 323, 29910, 646, 3410, 1045, 15957, 504, 25118, 36040, 13, 24288, 18899, 4344, 11, 1075, 3100, 10158, 323, 3041, 7253, 975, 11, 646, 1083, 5263, 697, 15223, 748, 6838, 323, 4271, 315, 2272, 13, 8704, 54552, 374, 4558, 11997, 311, 2936, 11, 432, 374, 2989, 311, 2506, 304, 5796, 448, 264, 81240, 369, 9462, 389, 8570, 6380, 382, 565, 7405, 18899, 2297, 271, 16, 13, 19960, 697, 81240, 13, 362, 23313, 686, 1184, 311, 20961, 697, 15223, 323, 8552, 279, 9363, 429, 2578, 387, 28720, 311, 1181, 54552, 11, 2670, 4231, 11, 9968, 11, 323, 5702, 2188, 13, 1096, 686, 1492, 1105, 8253, 279, 1290, 23221, 323, 18899, 4344, 311, 71233, 697, 15223, 13, 4615, 23313, 1231, 1896, 856, 81717, 311, 8552, 279, 29920, 315, 697, 15223, 748, 54552, 323, 1281, 4623, 18225, 369, 6380, 624, 17, 13, 7779, 279, 15223, 748, 4680, 13, 1416, 697, 15223, 374, 49154, 11, 419, 686, 2182, 5107, 25716, 389, 1181, 34258, 11, 92305, 6646, 323, 43676, 13, 11479, 697, 15223, 4722, 1181, 4680, 11, 421, 5871, 11, 1221, 5395, 432, 264, 77116, 714, 15651, 9968, 311, 2506, 1181, 4680, 1495, 13, 55378, 458, 9014, 15223, 45698, 3304, 646, 387, 5000, 1576, 862, 42126, 3880, 323, 5726, 311, 20882, 3607, 1231, 2297, 13, 23240, 2548, 697, 23313, 369, 9462, 1573, 3259, 3598, 4344, 304, 697, 15223, 748, 9968, 624, 18, 13, 4320, 1405, 2506, 697, 15223, 44308, 311, 279, 15175, 13, 1644, 339, 49208, 26830, 686, 4658, 387, 42940, 476, 11889, 311, 3271, 1075, 807, 3055, 1521, 13, 55378, 1105, 54054, 11, 4764, 11, 686, 3520, 1281, 279, 3491, 10960, 13, 39565, 264, 3460, 88255, 369, 1105, 311, 74967, 323, 27599, 2986, 911, 311, 2506, 279, 34258, 7218, 323, 5358, 279, 15223, 504, 3709, 2238, 30061, 14464, 3100, 10158, 11, 1741, 438, 8849, 19837, 11, 686, 387, 1661, 369, 697, 15223, 11, 323, 3930, 279, 6239, 315, 54552, 624, 19, 13, 18976, 311, 697, 3041, 7253, 13, 576, 2971, 315, 264, 15223, 748, 11386, 10088, 323, 15294, 525, 9023, 311, 1181, 7203, 323, 6838, 11, 323, 419, 374, 5310, 279, 1142, 369, 825, 15691, 504, 54552, 13, 6771, 697, 3041, 7253, 1414, 429, 279, 15223, 374, 3432, 5322, 448, 54552, 11, 323, 807, 1231, 1281, 18564, 429, 686, 2506, 1181, 11386, 10088, 304, 1661, 2971, 323, 1281, 432, 803, 10655, 4192, 565, 9735, 22047, 323, 29910, 271, 16, 13, 20678, 697, 15223, 5395, 32590, 13, 362, 1372, 315, 42126, 32590, 525, 2500, 11, 2670, 29117, 436, 19991, 323, 6275, 278, 324, 14011, 13621, 13, 4220, 646, 387, 2661, 311, 697, 15223, 3156, 448, 1181, 3607, 311, 1492, 60605, 1045, 315, 279, 13495, 315, 54552, 11, 1075, 6646, 323, 69234, 13, 9192, 369, 5395, 32590, 518, 264, 8149, 3553, 11, 476, 2548, 697, 23313, 13, 28870, 32590, 525, 264, 4285, 2999, 311, 1430, 518, 1156, 13, 4354, 11, 807, 525, 537, 34219, 11, 323, 807, 525, 537, 19323, 311, 387, 7373, 13, 20437, 697, 23313, 1128, 807, 6934, 369, 697, 15223, 3118, 389, 279, 29920, 315, 697, 15223, 594, 4714, 198, 17, 13, 9735, 15551, 480, 10284, 3871, 13, 4329, 3871, 11, 2670, 98819, 14308, 657, 36707, 9407, 8608, 538, 398, 66, 596, 320, 32, 450, 88437, 8, 323, 38595, 6275, 278, 36090, 349, 320, 39675, 8, 646, 387, 40672, 5961, 1119, 279, 11495, 10284, 311, 2968, 697, 15223, 1045, 15957, 13, 362, 23313, 1231, 1083, 6934, 87285, 279, 10284, 448, 57061, 476, 6275, 278, 324, 14011, 13621, 13, 4220, 3871, 646, 2968, 13922, 15957, 13, 758, 1045, 5048, 11, 862, 7567, 646, 1537, 369, 3951, 476, 1635, 13, 4615, 23313, 686, 65640, 551, 279, 3082, 311, 387, 40672, 323, 15551, 279, 4396, 76748, 323, 13621, 10601, 13, 9646, 498, 728, 1495, 279, 5636, 315, 87285, 264, 10284, 11, 498, 686, 4363, 614, 311, 15551, 279, 1852, 10284, 1549, 304, 279, 3853, 311, 2506, 697, 15223, 10655, 624, 18, 13, 20437, 911, 10284, 2390, 1783, 13, 1644, 39385, 374, 8881, 553, 264, 10601, 315, 36040, 323, 5254, 17252, 320, 36657, 1495, 8, 518, 11495, 34258, 13, 758, 5256, 311, 279, 3871, 429, 3410, 15957, 504, 25118, 36040, 11, 6174, 1075, 29117, 436, 19991, 323, 521, 2111, 68496, 258, 646, 1492, 6016, 279, 10284, 5086, 504, 5557, 13, 4615, 23313, 646, 71233, 279, 1290, 1985, 369, 697, 15223, 624, 19, 13, 29809, 6646, 58544, 3004, 13, 4329, 3871, 11, 2670, 14018, 3923, 8088, 1370, 603, 323, 282, 8698, 82000, 579, 11, 2765, 1405, 4228, 279, 10284, 5086, 11, 714, 686, 3410, 697, 15223, 448, 1045, 4586, 6646, 15957, 13, 4615, 23313, 686, 71233, 1493, 369, 697, 15223, 421, 807, 4411, 279, 15712, 686, 7269, 279, 15223, 748, 4271, 315, 2272, 13, 5443, 6646, 10851, 388, 438, 15540, 553, 697, 81240, 13, 57851, 6646, 23221, 803, 13814, 1091, 11102, 476, 304, 2238, 3460, 264, 12194, 646, 5557, 697, 15223, 748, 79211, 41829, 323, 5240, 37942, 476, 25506, 7901, 624, 20, 13, 32085, 279, 4265, 311, 5098, 916, 882, 13, 12566, 804, 646, 8491, 1492, 264, 15223, 387, 803, 10655, 11, 323, 29498, 1632, 369, 697, 15223, 646, 5263, 1181, 4271, 315, 2272, 13, 4354, 11, 432, 374, 4558, 11997, 311, 12733, 279, 5557, 8881, 553, 54552, 13, 6065, 882, 11, 5322, 8881, 553, 54552, 686, 5263, 11, 773, 432, 374, 2989, 311, 4717, 304, 5796, 448, 697, 23313, 911, 8570, 6380, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 990, 1079, 1021, 355, 3162, 30, 151645, 198, 151644, 77091, 198, 6091, 1021, 355, 374, 458, 2860, 14403, 27667, 323, 7982, 2025, 429, 374, 3118, 304, 24081, 11, 17689, 714, 30778, 32475, 14403, 369, 5257, 47358, 2163, 279, 1879, 13, 1446, 646, 1083, 990, 3303, 1021, 355, 3162, 311, 20499, 14403, 369, 1008, 19777, 315, 17903, 1741, 438, 51550, 323, 5426, 476, 2311, 9500, 27278, 13, 576, 3303, 1021, 355, 2025, 6147, 498, 311, 2711, 1181, 8622, 4625, 323, 1651, 6682, 911, 5257, 5110, 311, 1492, 498, 23643, 697, 2606, 369, 5821, 382, 565, 7075, 304, 271, 16, 13, 5994, 311, 279, 3303, 1021, 355, 5858, 2150, 1667, 697, 8031, 6929, 624, 17, 13, 3990, 304, 279, 5934, 323, 3552, 429, 572, 3897, 553, 697, 2692, 6645, 624, 18, 13, 53092, 279, 3745, 311, 3553, 3552, 421, 498, 1513, 944, 1366, 311, 943, 697, 5858, 1995, 1449, 882, 498, 1184, 311, 1841, 304, 13, 18214, 498, 646, 5274, 279, 3745, 53191, 624, 19, 13, 8445, 279, 10402, 3137, 311, 1841, 304, 323, 728, 311, 279, 2711, 2150, 4192, 565, 5443, 279, 2711, 2150, 271, 16, 13, 5443, 279, 2711, 2150, 311, 1477, 1995, 911, 5821, 323, 27278, 5110, 476, 311, 633, 264, 1140, 315, 5110, 429, 2432, 697, 12890, 13, 576, 5022, 3619, 518, 279, 2115, 702, 220, 17, 2711, 2606, 2500, 11, 31025, 330, 24318, 2711, 1, 323, 330, 74292, 2711, 1189, 1446, 646, 2711, 4092, 311, 279, 2701, 12890, 389, 17251, 2711, 13, 8188, 829, 25, 3725, 279, 2480, 476, 7130, 829, 315, 279, 2813, 498, 1366, 311, 1477, 13, 28397, 25, 3725, 264, 11727, 1372, 13, 9866, 25, 6147, 498, 311, 2711, 553, 3146, 13, 23840, 25, 3410, 279, 943, 315, 3516, 429, 279, 2813, 1265, 3410, 13, 8478, 25, 15354, 498, 5157, 279, 1379, 315, 279, 5110, 18293, 553, 1372, 315, 8256, 476, 6625, 13, 8188, 943, 14, 77166, 25, 5157, 3425, 279, 2813, 1265, 387, 584, 476, 37071, 12938, 624, 17, 13, 5443, 279, 32157, 2711, 421, 498, 1366, 311, 653, 264, 803, 3151, 2711, 315, 279, 3303, 1021, 355, 4625, 13, 576, 32157, 2711, 6696, 498, 279, 2701, 5107, 2606, 13, 12648, 9289, 25, 1490, 279, 5591, 3081, 18339, 315, 5110, 13, 24678, 1352, 25, 1651, 279, 2813, 594, 5777, 3840, 13, 8751, 3613, 25, 1490, 879, 279, 3613, 315, 279, 4479, 525, 13, 9742, 315, 87365, 25, 1477, 700, 979, 279, 2813, 572, 9555, 438, 264, 26669, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 633, 264, 3281, 3880, 1682, 1526, 16733, 4763, 30, 151645, 198, 151644, 77091, 198, 1282, 402, 6293, 448, 2841, 374, 2677, 264, 8645, 11, 438, 498, 1184, 311, 20876, 4297, 504, 49280, 34751, 311, 89826, 311, 33806, 13, 4220, 26038, 1231, 387, 1496, 803, 37517, 448, 264, 8386, 1682, 13, 4354, 11, 448, 1045, 9115, 323, 16585, 17879, 11, 498, 646, 2936, 476, 49360, 1657, 4650, 5322, 11, 323, 633, 1526, 279, 16733, 448, 17377, 16829, 382, 565, 13235, 633, 311, 4763, 271, 16, 13, 21144, 894, 5322, 429, 697, 1682, 1231, 614, 13, 7209, 27254, 374, 2155, 11, 773, 315, 3308, 11, 1449, 8386, 1682, 686, 614, 2155, 5322, 13, 4615, 1682, 1231, 614, 264, 6961, 27254, 323, 1373, 1045, 1492, 3709, 1526, 4763, 11, 476, 807, 1231, 614, 264, 46906, 27254, 1741, 438, 37181, 323, 387, 86652, 18723, 311, 57348, 323, 1660, 23939, 13, 7405, 264, 1140, 315, 279, 4714, 697, 1682, 2578, 614, 979, 3709, 1526, 16733, 4763, 13, 1752, 3110, 11, 421, 697, 1682, 572, 48704, 476, 42106, 11, 1035, 807, 387, 279, 943, 311, 2987, 39220, 476, 1598, 3123, 11, 476, 1035, 807, 614, 264, 90040, 421, 2182, 1119, 458, 28113, 6534, 30, 1416, 697, 1682, 374, 2310, 3322, 311, 3535, 1128, 594, 12482, 323, 374, 7853, 315, 1128, 5322, 807, 2669, 614, 11, 1430, 10161, 1105, 1128, 807, 1744, 1035, 5240, 1105, 12264, 518, 279, 16733, 13, 362, 1682, 448, 47969, 4714, 11, 369, 3110, 11, 1231, 1977, 429, 807, 4172, 3635, 42106, 553, 678, 279, 501, 38435, 323, 835, 705, 3432, 15386, 12264, 3709, 1526, 4763, 389, 862, 1828, 13, 1416, 498, 3003, 30696, 1293, 26552, 448, 697, 1682, 1573, 11, 1496, 421, 432, 5710, 944, 553, 11031, 11, 2908, 894, 4714, 697, 1682, 1030, 304, 279, 3267, 13, 1752, 3110, 11, 421, 498, 3937, 389, 264, 1293, 1803, 8411, 448, 697, 1682, 323, 10497, 14696, 369, 264, 1438, 11, 1521, 807, 633, 22459, 553, 678, 279, 1251, 1052, 5267, 17, 13, 9180, 279, 16733, 8305, 315, 882, 13, 4329, 39286, 448, 35701, 1477, 432, 5390, 311, 15456, 279, 16733, 11, 773, 429, 807, 646, 30893, 894, 12994, 8305, 315, 882, 13, 1096, 3019, 374, 10101, 11, 323, 646, 6761, 389, 279, 943, 315, 697, 1682, 594, 27254, 13, 1416, 498, 653, 3645, 279, 16733, 11, 3498, 11, 1430, 311, 3645, 1105, 518, 3245, 220, 22, 17, 4115, 51059, 624, 18, 13, 18976, 311, 697, 1682, 911, 16733, 4763, 13, 1416, 807, 1414, 1128, 686, 3537, 11, 807, 525, 803, 4363, 311, 4717, 19300, 323, 387, 10655, 448, 279, 1882, 13, 11635, 6467, 11, 3590, 7343, 11, 9508, 11, 323, 4345, 92966, 646, 1492, 7512, 279, 1882, 13, 9735, 311, 1477, 1682, 21896, 3684, 429, 702, 7249, 476, 44443, 315, 16733, 4763, 13, 2938, 1616, 11, 807, 646, 50087, 1128, 807, 686, 3139, 624, 19, 13, 81917, 429, 5107, 83506, 2578, 3537, 13, 17688, 11, 1251, 633, 26618, 4091, 311, 728, 1526, 5107, 4763, 13, 24647, 1105, 1246, 432, 4278, 11, 773, 429, 421, 432, 8573, 11, 807, 1414, 429, 432, 594, 4622, 323, 16910, 624, 20, 13, 13795, 6838, 6171, 304, 6707, 42156, 1238, 5671, 13, 9735, 24047, 1105, 518, 279, 1909, 315, 264, 33136, 476, 8968, 11, 476, 304, 264, 8651, 17822, 315, 264, 4345, 8968, 13, 11581, 12, 53637, 42302, 11, 1741, 438, 4410, 89, 2010, 476, 93811, 11, 1265, 1083, 387, 4135, 311, 5545, 13, 21144, 12647, 23069, 438, 1632, 13, 5765, 6838, 6171, 686, 1184, 311, 387, 47448, 13, 2379, 1231, 1184, 311, 1077, 432, 728, 1526, 279, 20775, 11, 476, 279, 16849, 1231, 1077, 1105, 6777, 432, 448, 1105, 11, 11649, 389, 279, 1633, 13, 1416, 432, 5780, 1526, 279, 20775, 448, 697, 17899, 11, 10339, 429, 279, 6838, 1633, 374, 3432, 458, 17943, 304, 279, 25629, 11, 323, 807, 3278, 2525, 700, 279, 1008, 3108, 5135, 624, 21, 13, 39124, 11260, 315, 2513, 311, 653, 304, 279, 16733, 323, 42924, 13, 18418, 2249, 4124, 686, 1492, 11, 773, 498, 1231, 387, 8580, 518, 279, 15022, 369, 1045, 882, 13, 21144, 34887, 6467, 11, 4540, 3868, 11, 6802, 6467, 11, 12453, 6467, 11, 6803, 11, 323, 803, 13, 7405, 2704, 429, 279, 5702, 4436, 944, 2494, 49280, 429, 1035, 37223, 3800, 11, 3498, 26, 5274, 9016, 17361, 23069, 518, 2114, 421, 3204, 11, 323, 4722, 279, 8123, 389, 264, 1682, 594, 14346, 23069, 476, 2968, 1105, 43001, 311, 19633, 1119, 429, 21357, 13, 8577, 3807, 9508, 476, 6803, 8630, 264, 20697, 389, 279, 1899, 1573, 13, 5145, 4124, 11, 304, 1142, 807, 4139, 13970, 13, 53925, 2841, 1231, 387, 2952, 311, 45176, 5577, 448, 47885, 13, 2619, 525, 1083, 6683, 34887, 6467, 807, 646, 990, 13, 39124, 5597, 388, 369, 894, 7611, 13, 4329, 8580, 5671, 614, 22641, 17337, 11, 773, 498, 2578, 387, 2952, 311, 6757, 30491, 1573, 697, 10971, 624, 22, 13, 13795, 47969, 3589, 369, 264, 86652, 18723, 1682, 13, 6809, 500, 13299, 11, 59369, 11, 43001, 320, 52218, 85003, 287, 476, 5937, 701, 27215, 550, 11, 36824, 23410, 35995, 11, 323, 12647, 23069, 646, 1492, 448, 458, 22024, 4573, 13, 10751, 60040, 697, 1682, 311, 387, 58214, 323, 12647, 264, 2696, 26, 432, 594, 2664, 311, 387, 38432, 45778, 1091, 614, 264, 34001, 90040, 476, 23766, 13, 10751, 60040, 697, 1682, 311, 5648, 61542, 357, 5742, 518, 279, 16733, 13, 7405, 2704, 807, 3535, 429, 2513, 1075, 1320, 3629, 11, 66624, 11, 323, 773, 13241, 525, 16910, 11, 714, 429, 432, 2578, 387, 2664, 311, 5648, 61796, 476, 803, 7203, 35085, 357, 5742, 1741, 438, 30872, 337, 18848, 11, 37860, 11, 476, 82140, 13, 794, 40033, 304, 323, 315, 5086, 4436, 944, 3873, 369, 697, 1682, 311, 653, 11, 714, 432, 594, 2989, 311, 5648, 86743, 1008, 1251, 476, 47308, 1495, 862, 1882, 315, 3709, 1526, 4763, 979, 3730, 773, 4192, 565, 5994, 1526, 4763, 271, 16, 13, 18418, 533, 518, 279, 16733, 4124, 13, 1446, 653, 537, 1366, 311, 387, 37017, 1526, 1449, 16733, 10324, 26, 419, 374, 4363, 311, 22459, 697, 1682, 11, 323, 8464, 498, 700, 13, 362, 4586, 5912, 315, 1429, 45063, 374, 429, 498, 1265, 2138, 6133, 518, 3245, 1378, 4115, 311, 633, 1526, 4763, 26, 11649, 389, 697, 1682, 11, 498, 1231, 1366, 311, 17331, 6788, 1091, 429, 13, 7405, 2704, 697, 1682, 702, 2513, 311, 653, 2337, 279, 11877, 1052, 13, 4329, 45063, 11, 1741, 438, 444, 2954, 11, 646, 1896, 264, 1293, 882, 311, 58163, 311, 13, 1446, 1513, 944, 1366, 264, 33286, 1682, 11699, 304, 279, 1803, 1393, 498, 2299, 9842, 624, 17, 13, 32085, 697, 1682, 594, 17541, 311, 289, 7255, 13, 3085, 279, 8464, 323, 34751, 11, 697, 1682, 1231, 614, 264, 2588, 882, 11, 323, 537, 387, 438, 12875, 438, 807, 5990, 525, 13, 4615, 1682, 1231, 3271, 803, 13970, 11, 14651, 448, 7361, 1075, 7404, 476, 656, 48136, 5311, 11, 323, 27092, 330, 265, 1621, 1, 311, 14650, 7709, 320, 34946, 421, 807, 614, 264, 46906, 27254, 568, 2823, 8720, 11, 323, 28276, 697, 1682, 594, 4960, 3880, 13, 19881, 11, 419, 374, 13340, 11, 323, 807, 3278, 728, 1182, 311, 4622, 3055, 807, 646, 81510, 13, 2379, 7629, 944, 3730, 432, 389, 7428, 13, 2823, 5310, 16585, 421, 697, 1682, 374, 57552, 26235, 323, 374, 36997, 311, 54898, 13, 17688, 11, 279, 8464, 323, 27262, 315, 279, 16733, 646, 5240, 697, 1682, 311, 614, 264, 52150, 624, 18, 13, 13655, 697, 1682, 304, 279, 6337, 13, 8704, 45063, 525, 4363, 501, 311, 697, 1682, 11, 432, 594, 2989, 311, 1281, 2704, 697, 1682, 30769, 1128, 594, 2087, 389, 13, 81917, 1817, 3019, 438, 432, 4041, 705, 13, 4968, 44152, 264, 6802, 9700, 1231, 387, 5390, 624, 19, 13, 21144, 4633, 279, 2997, 1526, 279, 3281, 3880, 78904, 1555, 13, 8999, 45063, 614, 264, 2805, 1555, 369, 22172, 448, 35701, 11, 773, 1052, 374, 2686, 8580, 6398, 13, 7281, 11, 432, 3643, 432, 2797, 429, 697, 2997, 2578, 1184, 1045, 4960, 29301, 323, 12994, 624, 20, 13, 7405, 2704, 697, 1682, 374, 24367, 304, 5128, 13, 506, 723, 91355, 11, 498, 3278, 1184, 311, 3783, 304, 1293, 5128, 311, 633, 311, 16733, 4763, 11, 7241, 498, 2299, 2952, 311, 2615, 264, 4763, 855, 15934, 1555, 13, 1416, 498, 646, 944, 990, 264, 855, 15934, 1555, 11, 498, 2299, 2087, 311, 1184, 311, 1281, 2704, 429, 697, 1682, 3171, 944, 633, 33286, 11, 916, 53654, 7757, 11, 476, 39220, 1007, 1393, 8580, 624, 21, 13, 13975, 279, 78904, 9611, 315, 697, 1682, 594, 27254, 13, 9646, 498, 3003, 11465, 518, 16733, 4763, 11, 432, 594, 2989, 311, 1077, 279, 78904, 9611, 1414, 429, 498, 525, 20971, 448, 264, 8386, 1682, 11, 5310, 421, 432, 594, 537, 7069, 8036, 320, 68, 1302, 13, 697, 1682, 374, 21893, 8386, 11, 714, 3171, 944, 990, 264, 53518, 476, 11435, 3671, 568, 18976, 311, 279, 78904, 9611, 429, 525, 1052, 323, 4263, 1246, 311, 1850, 1492, 697, 1682, 1526, 16733, 4763, 13, 4329, 10295, 315, 27254, 27278, 525, 510, 197, 9, 15044, 448, 19634, 323, 46906, 35701, 320, 2717, 2142, 11, 6285, 56396, 11, 4992, 6138, 646, 387, 15129, 311, 4717, 448, 279, 1697, 476, 1251, 807, 2299, 20971, 448, 11, 4751, 1091, 3709, 18663, 13, 54270, 476, 42295, 49060, 2841, 646, 387, 37961, 1526, 4763, 13, 1581, 2577, 323, 2588, 315, 10778, 2841, 653, 537, 614, 311, 4057, 10778, 51697, 476, 79081, 1547, 62184, 11, 323, 646, 10354, 1526, 4763, 1075, 4622, 13, 12809, 2673, 8386, 2841, 429, 1373, 264, 3671, 311, 3271, 2163, 686, 537, 387, 6963, 504, 862, 3671, 13, 1752, 3110, 11, 421, 697, 1682, 374, 304, 264, 53518, 11, 78904, 13009, 686, 537, 11893, 279, 1682, 700, 315, 862, 10496, 311, 633, 1105, 1526, 4763, 13, 362, 1682, 448, 264, 35221, 26863, 47594, 646, 633, 264, 869, 22265, 315, 862, 35221, 26863, 421, 5871, 11, 476, 614, 279, 35221, 26863, 6963, 323, 2182, 1526, 279, 1599, 29530, 5662, 13, 4354, 11, 498, 1265, 1172, 4057, 279, 35221, 26863, 421, 697, 1682, 374, 16910, 448, 432, 13, 758, 279, 1142, 315, 894, 8386, 1682, 11, 498, 1231, 387, 15129, 311, 6777, 697, 1682, 1526, 4763, 421, 432, 686, 1281, 279, 1882, 8661, 389, 697, 1682, 13, 4354, 11, 419, 1231, 1172, 387, 42203, 448, 9155, 11, 29573, 2841, 13, 2823, 2704, 311, 1077, 279, 13009, 1414, 421, 697, 1682, 702, 264, 3281, 3671, 369, 862, 27254, 429, 1231, 738, 1007, 279, 9317, 31214, 624, 22, 13, 70894, 429, 697, 1682, 1231, 614, 311, 728, 1526, 5107, 22265, 13, 17688, 11, 2513, 1513, 944, 728, 438, 12909, 11, 323, 697, 1682, 686, 1184, 311, 36671, 803, 22265, 13, 1096, 646, 2924, 264, 3272, 14875, 11, 892, 646, 387, 1602, 89969, 311, 1045, 8386, 2841, 13, 1416, 498, 2299, 15129, 311, 11, 4717, 448, 697, 1682, 2337, 279, 1882, 11, 323, 2548, 279, 78904, 8315, 311, 8809, 697, 1682, 315, 4113, 807, 2299, 2087, 311, 653, 304, 4128, 429, 594, 3204, 369, 697, 1682, 311, 3535, 624, 23, 13, 7405, 2704, 1682, 702, 1140, 315, 894, 29910, 11, 323, 264, 6524, 8499, 553, 264, 10668, 13, 10224, 419, 1140, 448, 1682, 594, 29910, 304, 264, 2613, 87519, 8968, 448, 264, 68761, 11, 304, 279, 1852, 8968, 13, 576, 29910, 1969, 1083, 387, 304, 264, 12188, 10308, 1023, 19046, 8968, 13, 12566, 804, 525, 3545, 537, 28340, 421, 807, 525, 304, 15177, 1352, 624, 24, 13, 62742, 264, 54447, 448, 458, 358, 909, 13, 4772, 476, 6457, 58419, 2163, 279, 1682, 323, 614, 1105, 9850, 429, 773, 432, 374, 9434, 369, 279, 63922, 311, 1490, 13, 1096, 646, 1492, 3931, 700, 678, 279, 25165, 35770, 40841, 911, 697, 1682, 13, 1446, 646, 1083, 6051, 279, 9611, 11, 714, 279, 2686, 279, 2664, 979, 432, 4041, 311, 32475, 7359, 13, 1416, 807, 614, 264, 15478, 911, 862, 27254, 11, 1075, 330, 19602, 4532, 19649, 645, 8958, 476, 330, 35, 9924, 448, 6285, 56396, 1335, 614, 1105, 9850, 432, 13, 13710, 264, 3974, 16148, 11, 1741, 438, 330, 5050, 9803, 702, 6285, 56396, 323, 646, 387, 59078, 304, 34751, 323, 501, 14740, 13, 54677, 1059, 75514, 8609, 2506, 1059, 19300, 10040, 16, 15, 13, 7405, 432, 2797, 879, 374, 3330, 1283, 279, 1682, 13, 1416, 1052, 525, 3807, 12598, 304, 279, 1874, 11, 498, 1513, 944, 1366, 1817, 1697, 311, 1744, 429, 4325, 770, 374, 3330, 1283, 279, 1682, 13, 1084, 646, 1492, 311, 20975, 9793, 4325, 311, 279, 1682, 369, 1817, 2472, 315, 279, 8411, 13, 3776, 9378, 476, 6683, 1265, 4227, 518, 279, 1182, 315, 279, 1874, 11, 311, 1281, 2704, 429, 902, 825, 326, 2032, 2238, 3041, 4815, 323, 5221, 5558, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 2297, 264, 75753, 30, 151645, 198, 151644, 77091, 198, 59046, 82862, 374, 3545, 264, 2530, 315, 34975, 11, 8679, 11, 323, 27385, 369, 501, 6562, 323, 73640, 13, 92692, 323, 78835, 879, 525, 537, 281, 57639, 16176, 1184, 311, 614, 862, 82862, 5497, 1449, 2421, 4115, 311, 5648, 435, 14051, 323, 43676, 13, 4230, 264, 75753, 10018, 8056, 773, 498, 646, 6707, 2297, 43790, 476, 27292, 82862, 518, 264, 4445, 594, 5293, 382, 565, 10783, 279, 75753, 323, 4240, 279, 8770, 271, 16, 13, 5985, 697, 6078, 13, 13235, 498, 2297, 279, 75753, 11, 11369, 697, 6078, 448, 773, 9667, 3015, 13, 1416, 498, 1513, 944, 614, 2615, 311, 264, 19309, 11, 498, 646, 10273, 1424, 98096, 389, 697, 6078, 13, 1416, 498, 1513, 944, 614, 1424, 98096, 11, 498, 646, 10273, 264, 4240, 8770, 39094, 389, 697, 6078, 13, 1416, 498, 975, 304, 264, 99154, 11, 2182, 389, 43790, 35416, 1283, 27686, 697, 6078, 624, 17, 13, 31166, 279, 4240, 75753, 13, 10771, 279, 8770, 389, 279, 10018, 7329, 323, 633, 700, 264, 501, 75753, 13, 1416, 498, 2299, 1667, 264, 43790, 75753, 11, 27472, 432, 13, 1416, 498, 2299, 1667, 264, 27292, 75753, 11, 11555, 432, 476, 6259, 432, 448, 458, 34306, 306, 5656, 11649, 389, 279, 1707, 315, 75753, 498, 614, 13, 2573, 279, 75753, 311, 279, 3108, 773, 432, 594, 5527, 3055, 498, 3003, 6963, 279, 18595, 75753, 13, 8999, 1251, 1992, 279, 4240, 75753, 5961, 1212, 279, 18595, 75753, 1573, 498, 4057, 432, 11, 311, 2287, 894, 32688, 429, 12170, 2337, 10018, 13, 4599, 2506, 304, 3971, 11, 279, 4240, 75753, 646, 633, 18595, 11, 773, 498, 1231, 1184, 311, 990, 264, 2086, 825, 421, 429, 8573, 624, 18, 13, 1230, 9349, 268, 323, 4057, 279, 18595, 75753, 13, 31828, 3123, 279, 22398, 11, 51304, 11, 476, 30198, 37884, 504, 279, 18595, 75753, 311, 650, 9349, 268, 432, 13, 31828, 1495, 279, 4065, 949, 315, 279, 18595, 75753, 323, 29273, 11893, 279, 8770, 594, 14201, 705, 264, 2632, 13, 1416, 279, 75753, 374, 14401, 11, 14983, 279, 1182, 315, 279, 18595, 75753, 700, 504, 1212, 279, 8770, 594, 5622, 13, 1416, 1052, 374, 75816, 11, 990, 279, 4065, 4279, 315, 279, 18595, 75753, 311, 56407, 438, 1753, 315, 432, 1007, 279, 8770, 438, 498, 646, 13, 2573, 279, 18595, 75753, 15663, 3080, 498, 646, 11555, 432, 13, 22749, 279, 8770, 748, 14201, 304, 825, 1424, 773, 429, 862, 5622, 374, 304, 279, 3720, 311, 5648, 20194, 432, 5796, 279, 75753, 287, 7329, 13, 29279, 429, 498, 2182, 279, 18595, 75753, 700, 315, 279, 8770, 594, 5545, 13, 1416, 498, 3129, 10018, 264, 8770, 8171, 879, 1051, 288, 2337, 75753, 4344, 11, 2908, 34644, 264, 4240, 27292, 476, 8770, 39094, 916, 806, 22951, 1393, 498, 2297, 1435, 624, 19, 13, 467, 3444, 279, 8770, 594, 5622, 448, 264, 39094, 476, 264, 40269, 27292, 13, 11778, 264, 8770, 39094, 476, 40269, 27292, 323, 39094, 279, 8770, 594, 90642, 504, 4065, 311, 1182, 320, 83, 70739, 279, 5622, 568, 46655, 374, 2989, 311, 5358, 44864, 28920, 13, 2014, 4240, 75816, 11, 498, 3278, 4658, 1184, 3807, 83538, 311, 5978, 279, 8770, 374, 4240, 13, 479, 4402, 11893, 697, 8770, 594, 14201, 553, 279, 89613, 323, 39094, 304, 1948, 279, 8770, 594, 5622, 13, 29279, 429, 1052, 594, 902, 75816, 2163, 279, 8770, 594, 90642, 476, 3156, 279, 1884, 2264, 315, 862, 59511, 624, 20, 13, 6553, 9058, 279, 6787, 369, 264, 4445, 13, 1446, 646, 5358, 75753, 435, 14051, 553, 10282, 697, 8770, 594, 5622, 4240, 323, 9058, 13, 20678, 279, 8770, 594, 5622, 264, 2421, 6486, 311, 9058, 700, 1573, 498, 2182, 389, 279, 4240, 75753, 13, 1416, 697, 8770, 702, 264, 56242, 11, 3796, 75753, 12644, 476, 58963, 51341, 1573, 498, 2182, 279, 501, 75753, 389, 13, 1416, 498, 2299, 1667, 27292, 82862, 11, 498, 3278, 1184, 311, 10962, 264, 43790, 5656, 304, 279, 4126, 315, 279, 75753, 13, 576, 5656, 686, 2506, 279, 75753, 12644, 504, 30587, 279, 27292, 75753, 892, 1410, 5557, 432, 4192, 565, 10224, 389, 279, 4240, 43790, 75753, 271, 16, 13, 43924, 279, 4240, 75753, 1212, 279, 8770, 13, 36194, 279, 8930, 4240, 75753, 323, 10962, 279, 1182, 4279, 315, 432, 29356, 279, 8770, 13, 576, 75753, 1265, 387, 3143, 279, 8770, 594, 28042, 13, 1416, 498, 2299, 10018, 264, 8171, 594, 75753, 11, 1459, 806, 22951, 1495, 311, 2118, 894, 39235, 1119, 279, 501, 75753, 13, 31828, 279, 4065, 4279, 315, 279, 4240, 75753, 705, 8630, 279, 8770, 594, 22350, 13, 29279, 429, 697, 8770, 3171, 944, 15493, 862, 14201, 476, 279, 75753, 2578, 387, 28113, 13, 9735, 311, 8865, 279, 8770, 594, 14201, 773, 279, 75753, 686, 4946, 44669, 13, 1416, 498, 2299, 10018, 264, 45297, 75753, 11, 990, 264, 45297, 75753, 429, 10901, 3054, 369, 279, 36681, 321, 938, 22324, 88612, 13, 2521, 11555, 916, 279, 4065, 315, 279, 75753, 773, 498, 1513, 944, 3421, 432, 624, 17, 13, 17288, 268, 279, 75753, 13, 22749, 279, 4065, 315, 279, 75753, 304, 1992, 448, 825, 1424, 13, 5443, 697, 1008, 1424, 311, 6815, 279, 22398, 389, 1817, 3108, 315, 279, 75753, 323, 11555, 1105, 705, 6974, 279, 4065, 13, 17288, 268, 1105, 8630, 279, 75753, 773, 279, 75753, 374, 26430, 311, 279, 8770, 13, 34006, 4937, 6019, 279, 75753, 2238, 38969, 13, 4248, 311, 1490, 421, 279, 75753, 374, 2238, 10296, 13, 1416, 432, 374, 11, 279, 6787, 686, 1401, 8983, 2397, 476, 2518, 13, 1446, 1265, 1083, 5978, 429, 279, 22398, 7629, 944, 36972, 311, 279, 8770, 594, 6787, 624, 18, 13, 28218, 279, 8770, 323, 2510, 3123, 279, 43790, 75753, 13, 31828, 279, 6174, 645, 1495, 323, 10658, 432, 7877, 476, 2182, 279, 8770, 304, 264, 501, 27303, 13, 2573, 279, 8770, 304, 264, 6092, 1992, 1393, 498, 11555, 279, 18595, 43790, 75753, 13, 31345, 432, 304, 279, 22854, 476, 304, 279, 52997, 7806, 6132, 646, 1571, 13, 2014, 11555, 279, 18595, 75753, 11, 11555, 279, 4065, 949, 315, 279, 18595, 75753, 304, 4279, 6974, 279, 1182, 315, 279, 75753, 311, 1281, 264, 8112, 4935, 6083, 13, 17288, 268, 2176, 315, 279, 22398, 304, 279, 4126, 315, 279, 75753, 311, 6644, 432, 624, 19, 13, 5985, 697, 6078, 13, 1416, 498, 525, 12233, 35416, 11, 4057, 323, 27390, 315, 1105, 13, 5005, 11, 11369, 697, 6078, 448, 8205, 3015, 323, 20554, 69934, 26785, 13, 70615, 311, 44901, 697, 6078, 369, 518, 3245, 220, 17, 15, 6486, 13, 57368, 325, 1105, 26364, 11, 1221, 9058, 1105, 1007, 4192, 565, 10224, 389, 323, 3705, 27292, 82862, 271, 16, 13, 12380, 279, 4240, 75753, 1212, 279, 8770, 13, 11778, 279, 10030, 27292, 75753, 323, 10962, 279, 1182, 4279, 315, 432, 29356, 697, 8770, 773, 432, 594, 3143, 697, 8770, 594, 28042, 13, 1416, 498, 2299, 10018, 264, 8171, 594, 75753, 11, 498, 646, 5358, 36696, 553, 21633, 806, 22951, 1495, 13, 36194, 279, 4065, 4279, 315, 279, 75753, 323, 6815, 432, 705, 8630, 279, 8770, 594, 22350, 13, 47716, 279, 8770, 594, 14201, 773, 279, 75753, 2765, 944, 15493, 1393, 498, 2299, 4937, 6019, 432, 13, 1416, 498, 2299, 10018, 264, 45297, 75753, 11, 5978, 429, 498, 2299, 1667, 279, 24632, 27292, 82862, 13, 1446, 3278, 4658, 1184, 311, 11555, 1105, 34326, 773, 807, 1513, 944, 10273, 2348, 279, 36681, 321, 938, 22324, 88612, 624, 17, 13, 34502, 279, 75753, 13, 22749, 279, 4065, 315, 279, 75753, 304, 1992, 448, 825, 1424, 13, 5443, 697, 1008, 1424, 311, 9704, 264, 350, 34731, 4937, 798, 476, 264, 1378, 26650, 644, 291, 4937, 798, 8630, 279, 4065, 315, 279, 75753, 13, 4329, 27292, 82862, 990, 51304, 429, 498, 4936, 10658, 1119, 1992, 476, 30198, 37884, 429, 498, 646, 1101, 6815, 323, 3493, 1495, 389, 13, 28218, 279, 8770, 1573, 498, 3705, 279, 18595, 27292, 75753, 13, 1416, 498, 2299, 1667, 75753, 26944, 11, 2182, 264, 2421, 315, 697, 19225, 1212, 279, 75753, 323, 3403, 279, 8770, 594, 6787, 311, 773, 498, 1513, 944, 32384, 51551, 279, 8770, 624, 18, 13, 9129, 279, 18595, 27292, 75753, 13, 1416, 498, 2299, 11589, 264, 3193, 1266, 75753, 11, 1896, 432, 311, 279, 14852, 323, 10276, 438, 1753, 315, 279, 75816, 1119, 279, 26214, 438, 3204, 13, 1446, 646, 990, 264, 75753, 8151, 1135, 311, 4057, 8131, 14713, 315, 75816, 13, 10771, 279, 18595, 75753, 323, 894, 18595, 27292, 83538, 1119, 264, 75753, 281, 604, 476, 20704, 14401, 8968, 13, 5985, 279, 27292, 82862, 4092, 311, 279, 13963, 594, 11221, 13, 1416, 498, 2299, 10018, 264, 3193, 1266, 75753, 504, 458, 23242, 17216, 51123, 8770, 11, 498, 1513, 944, 1184, 311, 10276, 279, 75816, 304, 279, 75753, 13, 1084, 686, 72639, 304, 279, 27686, 5662, 624, 19, 13, 9590, 697, 6078, 13, 10783, 697, 35416, 323, 2510, 1105, 3123, 11, 421, 8415, 13, 5985, 697, 6078, 1667, 20554, 69934, 26785, 323, 8205, 11, 4303, 3015, 369, 518, 3245, 220, 17, 15, 6486, 13, 4636, 26364, 96039, 287, 697, 6078, 11, 9058, 1105, 1007, 4192, 565, 48995, 75753, 8149, 271, 16, 13, 22201, 458, 3082, 311, 2297, 697, 8770, 594, 75753, 13, 2573, 705, 220, 16, 12, 17, 75753, 10018, 12621, 304, 4135, 4686, 42156, 12621, 304, 697, 2114, 13, 1752, 3110, 11, 498, 1410, 738, 705, 264, 10018, 1965, 304, 279, 55126, 11, 697, 13829, 11, 476, 3143, 264, 14852, 13, 1416, 498, 1513, 944, 1366, 311, 990, 264, 10018, 1965, 11, 498, 646, 6707, 2297, 279, 8770, 594, 75753, 389, 264, 10655, 10063, 7329, 320, 4803, 264, 4845, 476, 389, 279, 6422, 568, 22201, 16710, 75753, 10018, 5671, 3118, 389, 1380, 697, 2997, 37102, 279, 1429, 882, 13, 1084, 594, 264, 1661, 4522, 311, 3769, 264, 75753, 8968, 476, 33136, 448, 1045, 75753, 287, 16720, 13, 13655, 279, 75753, 8968, 304, 279, 10018, 3082, 773, 498, 646, 5591, 432, 323, 1221, 11633, 279, 8968, 979, 498, 1184, 311, 5274, 279, 3753, 624, 17, 13, 10762, 551, 279, 10018, 3082, 13, 1446, 2578, 1184, 803, 1091, 1101, 264, 75753, 323, 1045, 83538, 311, 2297, 279, 8770, 13, 13655, 2513, 16645, 323, 4135, 311, 1477, 553, 1667, 3429, 13269, 11, 23853, 11, 323, 2613, 68344, 13, 1096, 1616, 498, 1414, 1290, 1380, 2494, 374, 421, 498, 1184, 432, 6157, 13, 1752, 3110, 11, 432, 686, 1492, 311, 614, 264, 26482, 476, 14024, 429, 702, 4960, 90610, 28089, 476, 22894, 11836, 421, 697, 8770, 3880, 264, 2297, 304, 279, 6149, 315, 279, 3729, 624, 18, 13, 12648, 705, 389, 82862, 323, 83538, 13, 1532, 15998, 23920, 646, 728, 1526, 220, 23, 311, 220, 16, 15, 82862, 264, 1899, 11, 773, 2506, 264, 2696, 315, 4240, 6174, 14046, 13, 2379, 1265, 387, 4135, 311, 5545, 773, 498, 1513, 944, 614, 311, 3019, 3123, 504, 697, 8770, 2337, 279, 75753, 2297, 13, 1446, 3278, 1083, 1184, 311, 2506, 83538, 14046, 311, 39094, 697, 8770, 594, 5622, 13, 1416, 498, 2299, 14971, 2053, 9400, 279, 82862, 518, 697, 75753, 10018, 8056, 11, 2908, 9380, 264, 501, 3745, 315, 82862, 304, 279, 1852, 3054, 13, 1096, 1616, 11, 498, 3278, 2581, 387, 6587, 700, 624, 19, 13, 9129, 75753, 12644, 476, 58963, 51341, 13, 92692, 13814, 633, 435, 14051, 323, 498, 2578, 1184, 311, 3796, 75753, 12644, 476, 58963, 51341, 13, 13655, 32983, 315, 1493, 518, 697, 75753, 10018, 3082, 773, 498, 646, 6707, 990, 1105, 979, 498, 5293, 264, 56242, 13, 1084, 594, 1083, 264, 1661, 4522, 311, 2506, 1493, 304, 697, 75753, 8968, 773, 498, 646, 4228, 697, 8770, 594, 56242, 979, 498, 2299, 700, 3786, 624, 20, 13, 12243, 264, 1992, 311, 2182, 773, 2181, 82862, 13, 98881, 1246, 498, 4172, 1075, 311, 27390, 315, 476, 3705, 279, 773, 2181, 82862, 13, 1752, 3110, 11, 421, 498, 2299, 1667, 43790, 82862, 11, 738, 705, 264, 22854, 646, 476, 52997, 7806, 6132, 646, 1571, 13, 1416, 498, 2299, 1667, 27292, 82862, 11, 498, 1231, 1366, 311, 738, 705, 264, 14401, 281, 604, 1380, 498, 646, 3553, 279, 82862, 3080, 498, 2299, 5527, 311, 11369, 1105, 13, 1084, 594, 264, 1661, 4522, 311, 2506, 1424, 98096, 14046, 311, 6157, 4240, 697, 6078, 1573, 498, 11369, 1105, 304, 279, 14852, 13, 19881, 311, 2506, 279, 1424, 98096, 700, 315, 697, 8770, 594, 5545, 624, 21, 13, 13655, 76449, 14046, 13, 1634, 279, 8770, 5221, 9014, 11, 498, 3278, 1184, 311, 63817, 1105, 2337, 75753, 4344, 13, 422, 3758, 34922, 279, 8770, 448, 264, 21357, 11, 1633, 11, 476, 2311, 686, 1083, 2506, 279, 8770, 504, 48930, 773, 2181, 82862, 476, 8167, 2853, 287, 2337, 279, 75753, 2297, 13, 21144, 10282, 1045, 315, 1493, 3143, 697, 75753, 10018, 8056, 510, 197, 9, 14994, 4479, 6467, 198, 197, 9, 12637, 11836, 198, 197, 9, 21603, 6894, 198, 197, 9, 431, 90127, 198, 22, 13, 9129, 4344, 315, 17438, 323, 4960, 24140, 13, 1416, 697, 8770, 702, 33847, 1526, 862, 75753, 11, 498, 3278, 1184, 311, 614, 264, 2297, 315, 15097, 3265, 553, 13, 13655, 3807, 4240, 6174, 550, 518, 279, 10018, 3082, 1101, 304, 1142, 13, 1446, 1265, 1083, 614, 264, 2421, 7289, 315, 4240, 79011, 24140, 304, 1142, 1493, 633, 18595, 13, 1416, 697, 10018, 1965, 702, 264, 8413, 11, 53791, 3421, 11, 498, 1265, 1083, 614, 458, 4960, 4240, 3421, 304, 1142, 279, 8770, 5221, 279, 3421, 18595, 2337, 279, 75753, 2297, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 30546, 518, 458, 9210, 30, 151645, 198, 151644, 77091, 198, 8847, 9400, 518, 458, 9210, 646, 2803, 5000, 11, 714, 1513, 944, 10955, 11, 1052, 594, 3807, 5413, 498, 646, 990, 311, 1855, 98310, 19766, 13, 1446, 646, 1430, 1045, 6770, 28762, 421, 498, 1513, 944, 1184, 697, 25941, 311, 387, 2238, 4734, 13, 18214, 11, 1430, 4752, 458, 98310, 94064, 448, 264, 6573, 315, 7579, 369, 697, 1424, 30546, 11, 476, 6825, 458, 98310, 94064, 429, 18304, 8630, 279, 11968, 315, 697, 30546, 3493, 382, 565, 5443, 6770, 14068, 369, 732, 10645, 1064, 9210, 271, 16, 13, 5443, 264, 4628, 9334, 311, 30890, 697, 9210, 369, 3974, 30546, 6887, 13, 362, 4628, 9334, 374, 264, 1290, 10188, 63850, 26271, 5392, 429, 702, 25941, 12864, 3156, 279, 9751, 65628, 810, 320, 1782, 1293, 3108, 568, 5443, 279, 25941, 389, 279, 6821, 311, 8474, 697, 38562, 13, 2573, 279, 4628, 9334, 1290, 1790, 311, 279, 14178, 498, 2299, 38562, 13, 7083, 705, 279, 30546, 773, 279, 1909, 374, 3156, 279, 10063, 3108, 315, 279, 4628, 9334, 13, 1084, 686, 4558, 1401, 1075, 498, 2299, 38562, 1119, 279, 1290, 9210, 13, 7083, 705, 279, 9210, 64072, 389, 279, 9751, 65628, 810, 448, 279, 4126, 1555, 1495, 279, 1909, 315, 279, 30546, 13, 76874, 1495, 1119, 279, 7579, 518, 429, 9210, 624, 17, 13, 19649, 264, 8474, 504, 20843, 7579, 311, 2506, 279, 1852, 9210, 369, 3807, 19766, 13, 34104, 279, 9210, 498, 1184, 389, 264, 10063, 6573, 315, 20843, 7579, 429, 594, 518, 3245, 220, 16, 17122, 320, 17, 13, 20, 9961, 8, 12045, 13, 19649, 279, 7579, 518, 429, 9210, 1667, 264, 1424, 5485, 476, 56836, 5485, 13, 2014, 3931, 279, 7579, 518, 458, 9210, 11, 1868, 279, 9210, 3156, 279, 6821, 13, 5443, 264, 6078, 672, 311, 728, 3156, 429, 9210, 13, 1416, 498, 2299, 1667, 264, 56836, 5485, 11, 738, 432, 311, 279, 9210, 498, 1184, 1573, 14376, 13, 2573, 279, 7579, 1495, 1380, 498, 1184, 311, 30546, 13, 43924, 279, 30546, 3156, 279, 9210, 11, 323, 990, 279, 7579, 311, 8474, 279, 30546, 1393, 17461, 1119, 279, 7579, 13, 7405, 2704, 311, 3331, 389, 10296, 311, 279, 50246, 6573, 315, 7579, 1393, 38562, 624, 18, 13, 5145, 448, 17708, 19766, 311, 1855, 98310, 17822, 19766, 13, 13293, 2999, 374, 311, 30546, 7678, 1495, 1119, 279, 7579, 311, 1855, 2613, 17708, 19766, 13, 1446, 1172, 1184, 311, 728, 1495, 911, 220, 15, 13, 20, 14924, 320, 16, 13, 18, 9961, 568, 31828, 279, 30546, 700, 13, 5145, 38562, 1549, 448, 279, 30546, 98310, 7678, 1495, 1119, 279, 17708, 19766, 498, 3003, 3465, 11, 323, 1221, 36200, 432, 311, 279, 9210, 498, 1184, 438, 498, 728, 304, 279, 14178, 13, 45724, 19766, 525, 1128, 498, 990, 311, 4564, 220, 17, 9666, 315, 7579, 518, 458, 9210, 13, 576, 9210, 3171, 944, 1184, 311, 387, 23560, 11, 773, 498, 1513, 944, 1184, 311, 6629, 432, 13, 70615, 369, 911, 264, 220, 19, 20, 11616, 9210, 11, 323, 498, 1265, 387, 6915, 13, 1096, 1714, 8609, 2506, 279, 30546, 2699, 504, 14719, 4192, 565, 20782, 458, 9210, 94064, 271, 16, 13, 4230, 697, 1828, 98310, 94064, 448, 264, 6573, 315, 7579, 13, 7405, 419, 5392, 1667, 264, 56836, 5485, 323, 264, 20843, 6573, 315, 7579, 13, 5443, 264, 56836, 5485, 323, 738, 432, 311, 279, 9210, 315, 279, 14178, 429, 498, 1184, 311, 30546, 1119, 697, 7579, 13, 1752, 3110, 11, 421, 498, 1184, 432, 738, 311, 220, 18, 15, 12348, 11, 1221, 738, 279, 56836, 5485, 311, 220, 18, 15, 12348, 13, 330, 41, 343, 1, 15901, 1101, 3363, 2494, 429, 9982, 697, 975, 476, 27193, 697, 7375, 13, 5443, 697, 56836, 5485, 311, 3931, 279, 7579, 518, 458, 9210, 624, 17, 13, 2691, 264, 17708, 14178, 311, 279, 98310, 94064, 553, 38562, 1119, 279, 98310, 6821, 13, 76874, 1119, 279, 98310, 949, 315, 279, 7579, 773, 429, 279, 30546, 374, 76833, 311, 279, 7579, 13, 1096, 686, 1855, 279, 4727, 9210, 369, 38562, 1119, 1008, 9666, 315, 7579, 13, 76874, 678, 279, 1616, 1526, 279, 7579, 311, 1281, 279, 17708, 14178, 624, 18, 13, 12380, 279, 7579, 389, 697, 975, 27024, 311, 30546, 13, 10771, 279, 6573, 315, 7579, 429, 498, 1184, 311, 30546, 1119, 389, 697, 975, 27024, 13, 10224, 279, 98310, 94064, 916, 279, 10063, 6573, 13, 1446, 1265, 1490, 279, 17708, 14178, 498, 67765, 304, 279, 98310, 949, 13, 92818, 279, 94064, 1119, 1992, 389, 1909, 315, 279, 1008, 6573, 315, 7579, 13, 1416, 279, 94064, 4436, 944, 10063, 3156, 279, 1909, 11, 498, 646, 5485, 1007, 279, 1909, 6821, 311, 1281, 432, 10063, 13, 5005, 498, 3278, 387, 2952, 311, 41904, 432, 311, 279, 1008, 6573, 315, 7579, 624, 19, 13, 76874, 1526, 279, 94064, 1119, 279, 7579, 3685, 311, 1855, 19766, 304, 697, 2390, 13, 9295, 11, 1992, 279, 30546, 2699, 1526, 279, 17708, 14178, 13, 5145, 38562, 11, 1667, 279, 17708, 14178, 438, 264, 8474, 13, 22950, 1495, 1119, 279, 6573, 29356, 11, 6825, 458, 98310, 14178, 13, 9646, 498, 1414, 1246, 5538, 498, 1366, 311, 728, 369, 1817, 17708, 14178, 498, 2299, 6825, 304, 697, 2390, 11, 3796, 264, 2936, 36104, 311, 279, 30546, 311, 2506, 6133, 504, 2087, 19117, 13, 576, 2936, 36104, 5780, 916, 279, 30546, 2699, 518, 279, 1992, 498, 1366, 311, 2936, 13, 362, 2936, 36104, 374, 264, 2632, 9317, 10058, 429, 498, 646, 3695, 518, 894, 2114, 15673, 3553, 13, 14561, 279, 94064, 2163, 311, 1817, 7702, 498, 1184, 311, 30546, 264, 14178, 4192, 565, 4230, 458, 9210, 94064, 369, 264, 30546, 3493, 271, 16, 13, 19649, 264, 6573, 315, 87898, 311, 4946, 697, 30546, 3493, 11968, 13, 5443, 264, 1965, 5485, 311, 3931, 279, 6573, 1495, 311, 1379, 11, 3259, 432, 13942, 51424, 13, 1084, 1265, 4946, 6707, 389, 1909, 315, 697, 30546, 3493, 11968, 11, 3498, 2506, 432, 3971, 498, 686, 9210, 432, 705, 6974, 279, 30546, 13, 1446, 646, 11655, 279, 30546, 3493, 11968, 311, 633, 458, 4522, 369, 279, 1379, 498, 3278, 1184, 13, 1446, 646, 990, 20843, 87898, 369, 419, 2390, 11, 714, 432, 1265, 387, 44552, 3322, 773, 429, 432, 3171, 944, 36820, 979, 498, 2299, 38562, 1495, 6974, 432, 624, 17, 13, 2691, 264, 24650, 311, 279, 4065, 315, 279, 6573, 315, 87898, 13, 72175, 264, 2613, 6573, 315, 7579, 8630, 279, 4065, 315, 279, 87898, 13, 576, 4065, 374, 8820, 949, 686, 387, 12880, 705, 389, 279, 30546, 3493, 11968, 13, 576, 7579, 1265, 387, 4558, 279, 3084, 315, 279, 87898, 323, 220, 15, 13, 20, 311, 220, 16, 304, 320, 16, 13, 18, 311, 220, 17, 13, 20, 9961, 8, 12045, 13, 3197, 3330, 518, 279, 87898, 438, 498, 3579, 279, 30546, 3493, 11, 419, 6573, 1265, 1598, 504, 1909, 311, 5622, 220, 17, 311, 220, 18, 14924, 320, 20, 13, 16, 311, 220, 22, 13, 21, 9961, 8, 504, 279, 2115, 6821, 13, 4329, 69155, 1083, 1598, 504, 2115, 311, 1290, 220, 17, 311, 220, 18, 14924, 320, 20, 13, 16, 311, 220, 22, 13, 21, 9961, 8, 504, 279, 5622, 4518, 13, 362, 24650, 8609, 498, 2506, 697, 2390, 304, 1992, 624, 18, 13, 72175, 264, 6573, 315, 7579, 311, 279, 1182, 315, 279, 87898, 311, 1855, 279, 9210, 13, 576, 1411, 4527, 6573, 315, 7579, 1265, 387, 220, 16, 304, 320, 17, 13, 20, 9961, 8, 6884, 476, 773, 11, 714, 279, 2608, 315, 279, 7579, 311, 279, 3493, 11968, 686, 387, 10838, 553, 279, 9210, 498, 1366, 13, 34104, 279, 9210, 11, 323, 3931, 279, 6573, 315, 7579, 773, 429, 432, 686, 2004, 279, 87898, 705, 311, 429, 9210, 13, 1752, 2867, 11, 421, 498, 1366, 264, 220, 19, 20, 11616, 9210, 11, 279, 6573, 498, 3931, 369, 279, 1182, 1035, 1184, 311, 387, 49909, 1091, 421, 498, 4829, 264, 220, 18, 15, 5760, 11616, 9210, 13, 72175, 1495, 504, 279, 4065, 949, 315, 279, 87898, 1119, 279, 1182, 32864, 13, 5443, 518, 3245, 220, 16, 21966, 389, 1817, 835, 311, 3331, 432, 304, 1992, 624, 19, 13, 69206, 279, 94064, 2348, 264, 6573, 315, 1185, 32198, 7579, 13, 92818, 264, 1293, 6573, 315, 7579, 311, 279, 1182, 315, 279, 30546, 3493, 11968, 13, 48384, 272, 30617, 14647, 389, 1817, 835, 13, 4695, 498, 646, 4484, 279, 94064, 705, 2348, 419, 6573, 315, 7579, 773, 432, 3171, 944, 14983, 2163, 624, 20, 13, 76874, 697, 19766, 1119, 697, 2390, 13, 10771, 697, 2390, 6573, 389, 279, 94064, 705, 2348, 279, 24650, 13, 39124, 279, 30546, 1495, 323, 30546, 19766, 1119, 279, 6573, 1380, 498, 1184, 1105, 13, 1416, 697, 6573, 374, 7218, 2163, 2238, 1753, 11, 41904, 432, 1119, 1992, 2348, 279, 24650, 13, 4695, 498, 646, 30546, 279, 1852, 9210, 1817, 882, 448, 16052, 624, 21, 13, 27196, 279, 94064, 438, 4362, 13, 1446, 1513, 944, 1184, 311, 1281, 264, 501, 94064, 369, 1817, 9210, 498, 1184, 13, 25764, 11, 1101, 912, 458, 4960, 6573, 315, 7579, 311, 279, 1182, 32864, 311, 13036, 279, 3084, 13, 6065, 15958, 279, 220, 17, 9666, 315, 7579, 11, 323, 38969, 41904, 1105, 1119, 1992, 389, 1817, 835, 13, 34104, 311, 1490, 421, 498, 614, 279, 9210, 498, 1184, 553, 24047, 264, 4628, 9334, 16263, 432, 13, 1416, 498, 1513, 944, 614, 279, 4396, 9210, 11, 650, 85453, 279, 4960, 6573, 315, 7579, 13, 27196, 279, 7579, 323, 41904, 432, 1182, 1119, 1992, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 653, 279, 1161, 45568, 30, 151645, 198, 151644, 77091, 198, 785, 52293, 374, 264, 11051, 12, 311, 4937, 68190, 78, 15254, 429, 43753, 304, 279, 220, 17, 15, 82, 13, 1084, 572, 35948, 369, 1660, 279, 1156, 3590, 15254, 825, 1410, 653, 2041, 264, 8263, 13, 2619, 525, 3807, 10795, 315, 52293, 11, 279, 1429, 5411, 1660, 279, 220, 17, 15, 82, 323, 220, 18, 15, 82, 52293, 13, 576, 52293, 374, 264, 7548, 93748, 3271, 429, 646, 387, 31662, 1119, 264, 6884, 8045, 315, 72706, 11, 714, 279, 6770, 7203, 374, 279, 1852, 382, 565, 10824, 279, 6770, 3271, 271, 16, 13, 11778, 264, 6946, 3019, 1182, 448, 697, 2115, 4478, 13, 19338, 287, 279, 4065, 315, 697, 4478, 311, 279, 6422, 11, 714, 537, 12678, 697, 34328, 1495, 13, 4320, 1405, 7225, 6407, 697, 4680, 311, 419, 4478, 13, 3197, 3730, 279, 52293, 11, 15651, 4637, 10078, 323, 36820, 697, 30524, 264, 2632, 13, 13655, 697, 4680, 389, 279, 20332, 315, 697, 7541, 13, 362, 6946, 3019, 11, 1083, 2598, 264, 1438, 3019, 11, 19257, 311, 264, 66624, 3019, 304, 892, 825, 748, 4680, 374, 1602, 26753, 22409, 311, 2441, 4478, 1573, 1660, 5927, 311, 279, 1156, 13, 576, 1172, 882, 979, 498, 2578, 3161, 448, 697, 1290, 4478, 374, 421, 498, 525, 2701, 264, 8263, 13, 3197, 1378, 1251, 15254, 279, 52293, 3786, 11, 279, 7653, 8471, 553, 35467, 1182, 389, 279, 2115, 4478, 11, 1393, 279, 48207, 8471, 553, 35467, 1182, 389, 279, 1290, 11, 8652, 89579, 279, 7653, 624, 17, 13, 14822, 1182, 4637, 448, 697, 2115, 4478, 13, 1084, 1265, 1431, 387, 264, 3019, 8305, 315, 697, 1290, 4478, 13, 1096, 882, 11, 6407, 697, 4680, 311, 697, 2115, 4478, 624, 18, 13, 11778, 2441, 6946, 3019, 4637, 448, 697, 1290, 4478, 13, 10224, 279, 34328, 315, 697, 4478, 389, 279, 4910, 2041, 12678, 697, 4361, 4478, 1495, 13, 4615, 4680, 1265, 835, 705, 389, 697, 2115, 4478, 2058, 624, 19, 13, 14822, 1182, 448, 697, 1290, 4478, 13, 1084, 1265, 1431, 387, 264, 3019, 4815, 697, 2115, 4478, 13, 26510, 697, 4680, 1182, 8630, 697, 1290, 4478, 624, 20, 13, 52086, 697, 11715, 438, 498, 3019, 13, 1634, 498, 3271, 11, 697, 11715, 1265, 387, 53960, 13, 1096, 1231, 3537, 9463, 11, 5310, 421, 498, 3982, 3884, 1251, 653, 279, 52293, 1573, 323, 1414, 1128, 432, 748, 9966, 311, 1401, 1075, 13, 3197, 697, 2115, 4478, 374, 304, 4065, 315, 498, 11, 697, 1290, 6773, 1265, 18806, 4637, 13, 3197, 697, 1290, 4478, 374, 304, 4065, 315, 498, 11, 697, 2115, 6773, 1265, 18806, 4637, 624, 21, 13, 44801, 419, 7203, 13, 1084, 4658, 2765, 1405, 1401, 49036, 15978, 389, 1181, 1828, 11, 714, 279, 1182, 11, 4637, 11, 4637, 11, 1182, 11379, 374, 279, 4752, 2504, 369, 1449, 22990, 389, 279, 52293, 13, 26984, 3080, 432, 11074, 5810, 13, 5005, 498, 4700, 387, 5527, 311, 1191, 26792, 2513, 705, 4192, 565, 3155, 279, 220, 17, 15, 82, 1161, 45568, 271, 16, 13, 2126, 10655, 448, 279, 6770, 3271, 13, 2009, 279, 26244, 315, 279, 52293, 1191, 448, 1660, 2952, 311, 653, 279, 6770, 3019, 13, 26984, 3080, 432, 9044, 2086, 6993, 624, 17, 13, 73374, 697, 7541, 304, 323, 700, 13, 13655, 697, 17529, 389, 279, 20332, 315, 697, 7541, 13, 1913, 1449, 3019, 11, 279, 34328, 315, 279, 4478, 697, 614, 697, 4680, 389, 1265, 26646, 700, 323, 1221, 304, 1549, 624, 18, 13, 52435, 697, 80912, 438, 498, 18806, 697, 11715, 13, 1096, 374, 13221, 458, 61158, 2319, 315, 279, 6773, 18806, 13, 1634, 2677, 11, 697, 2115, 6773, 1265, 18806, 4637, 979, 697, 1290, 4478, 374, 8305, 315, 697, 2487, 11, 323, 697, 1290, 6773, 1265, 18806, 4637, 979, 697, 2115, 4478, 374, 304, 4065, 315, 697, 2487, 13, 4615, 11715, 1265, 387, 29180, 518, 911, 264, 220, 24, 15, 8381, 9210, 13, 576, 45711, 315, 279, 6773, 429, 374, 53960, 1182, 1265, 2525, 311, 16882, 2608, 11, 323, 279, 90565, 315, 279, 6773, 429, 374, 53960, 4637, 1265, 387, 15279, 311, 279, 4910, 624, 19, 13, 97893, 697, 30524, 304, 323, 700, 13, 3776, 4185, 3271, 1483, 448, 279, 52293, 17601, 8568, 323, 15316, 697, 30524, 518, 279, 1852, 882, 438, 26638, 323, 20815, 2128, 287, 697, 11715, 13, 1096, 1231, 387, 279, 1429, 1632, 21309, 52293, 3271, 13, 18597, 448, 697, 30524, 29180, 323, 30587, 1817, 1008, 11, 448, 697, 11715, 27031, 916, 1105, 11, 773, 429, 697, 1290, 1424, 374, 389, 697, 2115, 21381, 11, 323, 697, 2115, 1424, 374, 389, 697, 1290, 1431, 13, 47716, 697, 30524, 10747, 1393, 24303, 20815, 2128, 287, 697, 11715, 11, 773, 429, 498, 835, 705, 448, 697, 2115, 1424, 389, 697, 2115, 21381, 11, 323, 697, 1290, 1424, 389, 697, 1290, 21381, 13, 671, 59, 9, 38718, 419, 3271, 264, 2421, 3039, 4192, 565, 3155, 279, 220, 18, 15, 82, 1161, 45568, 271, 16, 13, 2126, 10655, 448, 279, 6770, 3271, 13, 2009, 279, 26244, 315, 279, 52293, 1191, 448, 1660, 2952, 311, 653, 279, 6770, 3019, 13, 26984, 3080, 432, 9044, 2086, 6993, 624, 17, 13, 29558, 264, 4622, 3019, 448, 264, 10323, 3019, 13, 1096, 686, 912, 264, 2632, 86595, 311, 279, 3271, 13, 12090, 315, 4936, 35467, 4637, 11, 4446, 697, 21381, 705, 323, 10323, 697, 4478, 700, 13, 4615, 21381, 1265, 2525, 705, 1156, 11, 2004, 6293, 697, 4478, 4637, 264, 4445, 2937, 13, 1416, 498, 1035, 537, 387, 49951, 697, 4680, 311, 429, 4478, 13657, 369, 419, 3019, 11, 1101, 18806, 432, 1182, 1549, 2041, 20194, 432, 5796, 279, 4910, 13, 18214, 11, 6008, 432, 1182, 389, 279, 4910, 1283, 279, 10323, 624, 18, 13, 2691, 264, 58107, 438, 498, 3271, 697, 2472, 1182, 13, 12090, 315, 4936, 35467, 1182, 1283, 264, 10323, 11, 32335, 264, 58107, 1119, 279, 7203, 13, 39124, 697, 21381, 1182, 705, 11, 773, 429, 697, 8416, 2472, 374, 15279, 311, 279, 4910, 11, 1573, 39194, 697, 4478, 1182, 1549, 624, 19, 13, 19338, 279, 4910, 448, 697, 1424, 13, 1096, 11367, 10078, 803, 16829, 323, 60263, 13, 1634, 697, 2472, 56790, 1182, 323, 279, 4935, 315, 697, 4478, 28627, 279, 4910, 11, 15651, 4637, 323, 15239, 279, 4910, 448, 279, 10414, 315, 279, 19225, 315, 697, 14002, 1424, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 387, 6247, 304, 458, 42151, 10866, 30, 151645, 198, 151644, 77091, 198, 15919, 7146, 304, 42151, 46351, 369, 1657, 7966, 13, 1416, 498, 2299, 825, 315, 1846, 1251, 11, 498, 1231, 2666, 1075, 498, 646, 944, 387, 6247, 13, 55633, 11, 498, 646, 1477, 697, 1828, 1616, 311, 23009, 11, 1496, 304, 264, 3873, 6534, 11, 553, 35566, 25785, 429, 2990, 311, 23009, 11, 323, 498, 1231, 1496, 387, 2952, 311, 975, 389, 697, 10866, 311, 3271, 8841, 23009, 438, 264, 5625, 382, 565, 14934, 311, 387, 6247, 271, 16, 13, 7379, 5510, 311, 387, 25195, 13, 1084, 594, 537, 2677, 4135, 311, 387, 25195, 11, 5310, 304, 279, 34346, 315, 264, 3873, 5025, 13, 55633, 11, 45035, 646, 1492, 498, 36486, 448, 279, 3873, 5025, 11, 323, 432, 646, 2990, 311, 498, 1660, 43367, 13, 11778, 882, 1817, 1899, 311, 7071, 700, 1128, 498, 525, 42688, 369, 13, 9735, 4378, 264, 2421, 2513, 498, 525, 25195, 369, 1817, 1899, 304, 264, 8322, 13, 1446, 646, 1083, 990, 7999, 389, 3590, 3687, 369, 419, 7428, 13, 32967, 11, 1496, 421, 279, 6534, 374, 3873, 11, 498, 646, 1477, 2494, 311, 387, 25195, 911, 13, 1752, 2867, 11, 498, 1231, 537, 1075, 1246, 498, 525, 1660, 11758, 304, 279, 5025, 498, 525, 304, 11, 714, 498, 1231, 387, 25195, 311, 614, 5896, 19753, 304, 697, 2272, 518, 279, 4445, 13, 38478, 11, 7196, 498, 2299, 25195, 429, 279, 1008, 1697, 304, 279, 5025, 8458, 264, 1661, 2681, 311, 697, 6837, 624, 17, 13, 3285, 424, 304, 6396, 11449, 13, 22452, 13943, 525, 979, 498, 9052, 6133, 311, 458, 3139, 553, 1660, 6587, 41001, 304, 8820, 432, 374, 498, 2299, 3730, 13, 1416, 498, 2299, 458, 10049, 11, 264, 6916, 11, 476, 1496, 264, 22259, 11, 498, 1231, 2669, 3535, 419, 943, 315, 3139, 13, 1084, 594, 429, 4445, 979, 279, 1879, 17066, 3123, 11, 323, 498, 525, 1101, 24084, 476, 21413, 1128, 498, 2299, 3730, 13, 18720, 614, 6839, 429, 279, 803, 6396, 13943, 498, 614, 11, 279, 43367, 498, 525, 304, 4586, 13, 22201, 458, 5702, 429, 11513, 498, 264, 2632, 2699, 11, 714, 429, 374, 2058, 11285, 773, 429, 498, 646, 9052, 6133, 304, 432, 13, 1752, 3110, 11, 421, 498, 4669, 18824, 54790, 11, 1221, 498, 2578, 1430, 18824, 264, 501, 3832, 1741, 438, 264, 33033, 476, 264, 14024, 315, 13779, 624, 18, 13, 14215, 10805, 279, 1852, 27433, 13, 2938, 374, 11, 421, 498, 2677, 1477, 6133, 29574, 911, 279, 1852, 2513, 11, 432, 1231, 387, 882, 311, 2182, 429, 8544, 15663, 13, 1446, 1184, 311, 10279, 429, 498, 2765, 944, 4263, 432, 1576, 498, 646, 944, 7503, 476, 1430, 311, 1477, 264, 29385, 429, 4278, 369, 2176, 315, 498, 13, 1752, 3110, 11, 421, 498, 8376, 311, 4367, 916, 11500, 11, 1221, 498, 2578, 1366, 311, 1281, 11500, 458, 1007, 2852, 22866, 8544, 13, 2521, 11, 421, 498, 3545, 4367, 911, 1128, 5700, 498, 525, 2087, 311, 3736, 389, 6602, 21461, 11, 1221, 498, 2578, 1366, 311, 1896, 10577, 18774, 279, 5700, 624, 19, 13, 7843, 697, 1828, 11772, 13, 1416, 697, 10866, 374, 537, 1128, 498, 1366, 432, 311, 387, 11, 432, 1231, 387, 882, 311, 1477, 1045, 56283, 4889, 315, 697, 10866, 323, 537, 304, 279, 1352, 315, 458, 29917, 13, 20035, 697, 1828, 63305, 323, 11772, 686, 1492, 498, 4717, 9489, 323, 2506, 498, 6247, 323, 16634, 448, 279, 1879, 13, 758, 2097, 11, 11220, 697, 1828, 11772, 374, 264, 1661, 4522, 1496, 421, 498, 614, 264, 2244, 10866, 13, 21144, 23966, 11772, 518, 279, 6733, 11, 18169, 2205, 31528, 18890, 476, 4296, 722, 6846, 11, 476, 4633, 264, 88386, 536, 518, 264, 14046, 3942, 7770, 624, 20, 13, 9735, 69338, 13, 20035, 264, 5530, 315, 7428, 323, 1045, 1661, 3590, 13234, 448, 1008, 1251, 374, 1083, 264, 1661, 1616, 311, 2666, 6247, 13, 10882, 10830, 4671, 646, 2968, 498, 264, 5530, 315, 7428, 304, 2272, 323, 432, 1083, 6147, 498, 311, 16282, 448, 1008, 1075, 33323, 1251, 11, 432, 2578, 1492, 498, 311, 2666, 43367, 13, 9735, 311, 1477, 458, 7321, 429, 498, 1035, 1075, 311, 16792, 311, 11, 1741, 438, 458, 9864, 22906, 476, 264, 3607, 6073, 11, 323, 3796, 311, 3635, 264, 25144, 13, 1446, 2578, 1496, 2548, 697, 30980, 421, 566, 476, 1340, 1035, 1075, 311, 25144, 448, 498, 323, 432, 2578, 387, 264, 1661, 63086, 5702, 369, 279, 1378, 315, 498, 624, 21, 13, 7843, 697, 3590, 2272, 13, 8999, 7822, 1459, 311, 11871, 1660, 1376, 311, 23009, 13, 1416, 697, 1887, 5025, 374, 42151, 11, 1221, 498, 1231, 537, 1490, 1246, 498, 646, 2297, 697, 6534, 13, 4615, 30980, 3171, 944, 614, 311, 387, 697, 1887, 2530, 315, 3590, 21880, 13, 1446, 646, 614, 49598, 11871, 448, 4780, 11, 438, 1632, 438, 1008, 3613, 315, 697, 2997, 13, 9735, 311, 728, 700, 311, 13856, 448, 4780, 825, 3729, 817, 2003, 476, 633, 3786, 448, 264, 44223, 476, 35171, 369, 264, 1899, 315, 11919, 476, 264, 5702, 3797, 1741, 438, 31415, 476, 23380, 13, 1416, 498, 1513, 944, 614, 264, 2696, 315, 4780, 11, 1221, 1430, 311, 3367, 803, 1251, 879, 4332, 697, 11772, 13, 1752, 3110, 11, 498, 1410, 5138, 264, 58196, 10734, 11, 1896, 458, 1947, 536, 11, 476, 1477, 264, 70608, 476, 7055, 879, 1184, 501, 3613, 4192, 565, 5547, 6974, 264, 2664, 10866, 271, 16, 13, 11778, 882, 311, 387, 3786, 13, 24288, 882, 369, 1817, 1008, 374, 264, 1616, 311, 1977, 498, 525, 11163, 311, 1817, 1008, 13, 24917, 498, 686, 8329, 264, 3654, 882, 1817, 2003, 448, 1817, 1008, 11, 323, 9214, 311, 432, 13, 1084, 686, 1083, 2968, 498, 264, 6012, 311, 633, 311, 1414, 825, 2441, 1549, 624, 17, 13, 19881, 1128, 498, 32547, 13, 3197, 498, 1156, 2684, 3786, 11, 498, 1033, 4658, 25244, 28023, 553, 279, 11799, 279, 1008, 1697, 50613, 13, 1752, 2867, 11, 7196, 498, 1033, 90726, 657, 553, 279, 2097, 429, 566, 476, 1340, 572, 3163, 57821, 323, 10245, 311, 387, 53457, 13, 4695, 11, 498, 1231, 1477, 6133, 305, 1095, 279, 4271, 13, 576, 1376, 374, 311, 1430, 311, 6099, 3170, 498, 10245, 429, 4271, 304, 279, 1156, 1992, 323, 3271, 8841, 21413, 432, 1549, 13, 1752, 2867, 11, 432, 1231, 6541, 498, 14264, 979, 697, 30980, 6801, 311, 5943, 4297, 323, 6541, 311, 279, 23501, 13, 1913, 279, 1008, 1424, 11, 432, 13598, 697, 2272, 504, 3709, 2238, 27759, 13, 9735, 311, 13169, 264, 8172, 11, 323, 4669, 1128, 498, 646, 624, 18, 13, 18976, 911, 35386, 323, 26038, 13, 1084, 374, 2989, 311, 24645, 1128, 374, 2087, 1632, 304, 697, 5025, 438, 1632, 438, 1128, 702, 3635, 264, 14651, 13, 1446, 2578, 1496, 1366, 311, 1281, 264, 1140, 315, 35386, 323, 26038, 3786, 13, 7405, 2704, 429, 498, 2924, 2513, 389, 279, 1140, 429, 498, 5648, 7404, 911, 1576, 315, 23209, 429, 498, 686, 1101, 835, 705, 10805, 911, 1105, 13, 9735, 311, 3735, 264, 882, 311, 3061, 911, 697, 35386, 323, 26038, 979, 498, 525, 2176, 8266, 19300, 323, 10735, 13, 34006, 7404, 518, 279, 835, 315, 264, 1293, 1899, 476, 518, 1008, 45783, 3039, 13, 5443, 330, 40, 1, 12239, 4751, 1091, 330, 2610, 1, 12239, 13, 758, 1008, 4244, 11, 1430, 311, 3061, 911, 1128, 498, 2299, 8266, 323, 1128, 498, 1744, 374, 4969, 2041, 58671, 279, 1008, 1697, 13, 1752, 2867, 11, 5488, 330, 40, 633, 22459, 979, 582, 1513, 944, 8329, 3322, 882, 3786, 1, 374, 2664, 1091, 330, 2610, 2299, 2581, 2163, 1189, 576, 2086, 5114, 9521, 697, 30980, 389, 7616, 11, 1393, 279, 1156, 8609, 1787, 10219, 13, 77037, 882, 7404, 323, 14289, 13, 2938, 374, 11, 498, 646, 944, 1101, 10962, 700, 1128, 498, 1744, 374, 4969, 13, 1446, 1083, 1184, 311, 8329, 882, 22040, 14289, 311, 1128, 697, 30980, 702, 311, 1977, 13, 6928, 498, 2299, 16634, 553, 10004, 2805, 68922, 315, 1128, 566, 476, 1340, 702, 1053, 323, 553, 10161, 4755, 429, 525, 9760, 311, 279, 10435, 624, 19, 13, 5547, 700, 9904, 13, 9646, 498, 3003, 24692, 700, 3786, 1128, 4714, 498, 614, 304, 279, 10866, 11, 432, 594, 882, 311, 1430, 311, 2525, 705, 448, 1045, 9904, 13, 1446, 1231, 1496, 387, 2952, 311, 4038, 389, 1045, 315, 697, 35386, 311, 1492, 498, 2225, 9904, 311, 5322, 304, 697, 11871, 13, 2014, 29385, 11, 498, 1969, 3061, 911, 697, 6801, 323, 3880, 11, 10476, 498, 2176, 311, 10279, 1128, 594, 1429, 2989, 311, 1817, 315, 498, 13, 758, 1008, 4244, 11, 311, 1281, 264, 29385, 11, 498, 1969, 387, 9831, 311, 1077, 279, 1008, 1697, 3164, 979, 432, 4041, 311, 862, 3880, 11, 7086, 4910, 979, 432, 4041, 304, 12055, 448, 697, 6801, 13, 576, 1852, 1969, 387, 830, 315, 279, 1008, 1697, 624, 20, 13, 21149, 911, 41216, 13, 17688, 11, 498, 1184, 279, 1492, 315, 264, 6584, 311, 633, 3267, 697, 5322, 13, 362, 10866, 61375, 1231, 1492, 498, 5046, 803, 5322, 1091, 498, 1720, 11, 323, 304, 2097, 11, 911, 4279, 315, 1251, 879, 990, 10866, 85247, 1977, 429, 279, 61375, 8910, 1105, 5046, 678, 315, 279, 3598, 5322, 304, 862, 10866, 4192, 565, 21144, 279, 10555, 271, 16, 13, 9735, 5777, 24737, 13, 362, 5777, 24737, 6696, 498, 279, 882, 3123, 504, 697, 30980, 429, 498, 1231, 1184, 311, 975, 700, 5322, 13, 1084, 374, 2155, 1091, 264, 24532, 1576, 498, 7146, 12224, 13, 576, 8760, 315, 264, 24737, 374, 432, 6696, 498, 264, 5777, 1616, 311, 975, 700, 24492, 323, 1682, 1824, 1393, 498, 525, 5382, 10747, 11, 438, 1632, 438, 1246, 697, 3343, 1265, 387, 17779, 705, 13, 55633, 11, 421, 498, 975, 700, 697, 5322, 11, 498, 646, 728, 1182, 311, 264, 4622, 10866, 624, 17, 13, 14187, 24532, 1231, 387, 264, 2664, 2999, 13, 5976, 3709, 264, 24532, 374, 264, 2272, 95610, 21761, 11, 19429, 304, 458, 52708, 10866, 646, 387, 63969, 311, 656, 64806, 323, 10502, 2820, 13, 4329, 7822, 614, 6839, 432, 594, 2664, 311, 633, 700, 315, 264, 2162, 590, 292, 5025, 323, 975, 311, 7269, 697, 1828, 10502, 2820, 1091, 311, 4717, 13, 70894, 458, 42151, 10866, 646, 2990, 311, 18210, 13, 3776, 3920, 11, 892, 6398, 821, 504, 220, 20, 11, 15, 15, 15, 12598, 11, 8542, 429, 279, 4271, 315, 697, 1429, 2989, 5025, 374, 264, 1661, 61154, 315, 11220, 18210, 13, 48103, 11, 421, 825, 315, 697, 18093, 11871, 11, 2670, 697, 978, 782, 278, 825, 11, 374, 304, 3873, 12733, 11, 432, 9521, 498, 518, 5214, 369, 11220, 18210, 624, 18, 13, 21144, 7966, 311, 24532, 13, 1446, 1231, 1477, 429, 498, 614, 264, 1661, 2874, 369, 3709, 264, 24532, 13, 1416, 498, 525, 42151, 304, 697, 10866, 11, 498, 686, 4363, 1477, 429, 498, 525, 264, 43367, 1697, 3055, 498, 633, 700, 13, 1446, 2578, 2908, 264, 24532, 421, 697, 30980, 1030, 458, 29917, 13, 5976, 1045, 21264, 22279, 4132, 45101, 11, 3800, 2581, 11731, 504, 432, 13, 1416, 498, 1477, 429, 498, 646, 944, 43391, 697, 30980, 369, 1128, 566, 476, 1340, 1521, 1496, 1283, 3951, 476, 1635, 11, 498, 1231, 1366, 311, 2908, 264, 24532, 13, 1446, 3003, 14700, 304, 2155, 5510, 13, 17688, 11, 979, 498, 3063, 1119, 2480, 2220, 92624, 12598, 3786, 11, 498, 1896, 2155, 17961, 13, 1416, 498, 1477, 498, 323, 697, 30980, 646, 944, 7503, 389, 1753, 315, 4113, 14584, 1576, 498, 525, 1101, 2238, 2155, 11, 432, 1231, 387, 1850, 311, 24532, 13, 4615, 8263, 374, 3873, 518, 39282, 323, 2765, 944, 2297, 13, 4940, 3308, 11, 5019, 3643, 3873, 3220, 11454, 7025, 13, 4354, 11, 421, 697, 8263, 374, 773, 3873, 429, 432, 374, 14381, 8464, 389, 697, 10866, 476, 374, 28220, 287, 697, 2997, 11, 498, 1231, 1184, 311, 633, 700, 315, 279, 10866, 11, 5310, 421, 498, 3003, 13302, 4643, 714, 697, 30980, 374, 45143, 311, 2297, 13, 21149, 911, 279, 6837, 13, 8999, 30075, 676, 1541, 12224, 21264, 4717, 3786, 369, 279, 6837, 13, 8765, 16316, 374, 2588, 389, 6837, 11, 714, 432, 594, 1083, 830, 429, 1660, 30075, 676, 1541, 12224, 646, 387, 2588, 389, 697, 6837, 11, 438, 1632, 13, 4615, 6837, 1414, 498, 2299, 42151, 11, 323, 421, 498, 2299, 14971, 10805, 11, 498, 2299, 10687, 8464, 389, 1105, 11, 13657, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 82508, 705, 697, 54205, 5671, 30, 151645, 198, 151644, 77091, 198, 2461, 678, 12829, 315, 7966, 11, 1045, 1251, 2225, 23694, 31099, 304, 279, 54205, 5671, 13, 4354, 11, 432, 3171, 944, 614, 311, 387, 264, 15330, 4265, 13, 2619, 525, 264, 8045, 315, 7373, 11, 28769, 5510, 311, 2621, 432, 13, 3216, 21000, 3100, 6019, 1493, 13604, 11, 697, 6787, 646, 614, 264, 6233, 11, 1496, 16232, 304, 279, 54205, 5671, 3055, 1549, 382, 565, 8658, 268, 279, 54205, 5671, 448, 2114, 39139, 271, 16, 13, 5443, 31643, 12589, 60631, 13, 31643, 12589, 26785, 374, 5810, 323, 1667, 432, 15502, 686, 1492, 311, 82508, 279, 6787, 13, 5443, 432, 518, 3245, 10917, 264, 1899, 11, 3055, 304, 279, 6556, 323, 3055, 518, 3729, 11, 3080, 498, 1490, 3059, 13, 13655, 697, 6787, 53802, 1506, 1576, 432, 646, 9058, 700, 697, 6787, 13, 1446, 646, 1083, 62458, 705, 264, 11879, 315, 56696, 25298, 12589, 11, 323, 3796, 264, 2409, 21270, 22288, 389, 279, 5671, 13, 25193, 432, 389, 369, 220, 18, 15, 4420, 323, 1221, 11369, 432, 1007, 13, 758, 264, 5625, 315, 2003, 594, 882, 11, 498, 1265, 1490, 5089, 3100, 6019, 624, 17, 13, 20552, 36707, 2074, 292, 476, 4274, 2842, 415, 13621, 45805, 35995, 13, 4220, 1378, 13966, 525, 279, 3100, 6019, 13009, 1483, 369, 45805, 22183, 323, 646, 1083, 387, 1483, 369, 419, 7428, 13, 422, 370, 264, 11016, 389, 279, 5671, 323, 1221, 633, 1119, 279, 17196, 13, 6771, 279, 20312, 19309, 304, 369, 264, 5625, 4420, 323, 11369, 1007, 13, 4320, 944, 653, 419, 6380, 7069, 1283, 80009, 11, 4764, 11, 438, 432, 1410, 29018, 349, 432, 624, 18, 13, 5443, 264, 29464, 22815, 11, 54475, 6514, 13, 19219, 22815, 504, 220, 16, 14, 19, 29464, 1119, 264, 61511, 315, 54475, 11, 323, 3796, 311, 279, 3082, 13, 1084, 14056, 438, 264, 23034, 12422, 11829, 6291, 429, 686, 21000, 82508, 432, 13, 20552, 264, 34498, 91244, 17837, 26807, 311, 2506, 697, 6787, 20507, 323, 94731, 13, 4320, 944, 653, 419, 6380, 7069, 1283, 80009, 11, 4764, 11, 438, 432, 1410, 29018, 349, 432, 624, 19, 13, 20552, 62068, 24937, 13, 2055, 585, 3807, 87822, 369, 220, 17, 19, 4115, 13, 5005, 14983, 279, 49950, 1007, 11, 323, 912, 264, 5625, 21025, 315, 14074, 311, 1281, 264, 24937, 13, 10224, 389, 279, 54205, 5671, 11, 323, 5274, 389, 369, 458, 6460, 13, 5985, 1007, 448, 8205, 3015, 13, 1416, 1483, 15502, 11, 432, 4278, 438, 264, 23034, 3100, 798, 323, 1083, 505, 8400, 42298, 323, 8413, 724, 279, 6787, 624, 20, 13, 9735, 1667, 14074, 311, 82508, 323, 53802, 551, 697, 6787, 13, 25968, 1045, 14074, 1119, 264, 19212, 323, 23604, 1119, 448, 264, 23522, 4935, 13, 422, 370, 8630, 697, 6787, 13, 43825, 374, 264, 5810, 6787, 3100, 798, 11, 323, 432, 1083, 2765, 944, 9058, 432, 700, 13, 1084, 594, 537, 2087, 311, 3537, 24398, 714, 448, 5792, 990, 11, 498, 686, 1490, 1045, 8112, 3059, 624, 21, 13, 20552, 817, 54089, 8630, 279, 3082, 13, 467, 3444, 1007, 1283, 220, 16, 20, 4420, 13, 3155, 419, 264, 5625, 315, 3039, 264, 1899, 3080, 498, 1490, 3059, 13, 55432, 87, 577, 374, 7548, 83803, 11, 773, 498, 1231, 1366, 311, 3796, 264, 2632, 62068, 476, 33457, 5590, 389, 279, 3082, 1283, 27686, 432, 1007, 13, 4320, 944, 653, 419, 6380, 7069, 1283, 80009, 11, 4764, 11, 438, 432, 1410, 29018, 349, 432, 4192, 565, 5994, 311, 264, 60385, 16155, 311, 4396, 279, 3491, 271, 16, 13, 20437, 279, 10668, 911, 1667, 264, 6787, 12422, 11829, 12644, 8482, 16643, 35344, 603, 13, 1096, 3093, 315, 12644, 4278, 553, 26160, 66912, 258, 504, 1660, 8947, 304, 279, 6787, 13, 1084, 594, 825, 315, 279, 1429, 5411, 3100, 6019, 22183, 13, 4354, 11, 421, 279, 19950, 374, 2238, 1550, 476, 421, 432, 594, 1483, 369, 2238, 1293, 11, 432, 1410, 46193, 268, 279, 2560, 789, 367, 476, 9931, 279, 6239, 13, 1084, 646, 1083, 387, 20836, 311, 279, 25506, 624, 17, 13, 18976, 311, 697, 60385, 16155, 911, 264, 296, 20776, 6787, 12422, 11829, 6380, 13, 4329, 10555, 11, 58517, 80216, 429, 525, 3881, 311, 614, 2686, 3108, 6239, 525, 12376, 8294, 292, 13621, 11, 15236, 73, 292, 13621, 323, 825, 8482, 1172, 220, 17, 3266, 16643, 35344, 603, 13, 2009, 315, 1493, 525, 3881, 311, 1492, 448, 24999, 476, 32147, 6787, 2560, 789, 367, 5322, 13, 2379, 975, 553, 26160, 33701, 14768, 11, 264, 6869, 12833, 11, 504, 1660, 8947, 304, 279, 6787, 624, 18, 13, 7379, 700, 504, 697, 10668, 421, 498, 2299, 264, 1661, 9144, 369, 1667, 264, 12422, 11829, 8315, 11, 1741, 438, 84106, 11, 311, 82508, 279, 5671, 13, 1096, 374, 264, 6514, 59294, 553, 279, 6457, 6584, 3730, 279, 6380, 13, 23662, 311, 279, 19950, 315, 82351, 11, 60385, 21306, 323, 6457, 16026, 525, 279, 1172, 6174, 5420, 311, 26093, 432, 624, 19, 13, 16554, 369, 20486, 6869, 16652, 13, 1416, 279, 6319, 6019, 374, 8881, 553, 36023, 287, 11, 80009, 11, 323, 5144, 498, 646, 1490, 6319, 6869, 13633, 891, 438, 432, 594, 7826, 1182, 11, 1221, 20486, 6869, 16652, 1231, 387, 264, 1661, 6291, 369, 498, 13, 17594, 432, 594, 6509, 18267, 17018, 32754, 11, 279, 6869, 5990, 3171, 944, 2525, 1182, 13, 4354, 11, 498, 614, 311, 1281, 2704, 311, 4583, 279, 11102, 1372, 315, 22183, 323, 279, 14195, 11, 714, 4132, 69691, 11, 5796, 26761, 4192, 565, 38068, 94688, 315, 279, 54205, 5671, 271, 16, 13, 1374, 8400, 6493, 279, 3082, 13, 10621, 6787, 7761, 1513, 944, 1101, 1936, 705, 389, 697, 30524, 323, 80912, 714, 389, 1008, 5671, 315, 279, 6787, 438, 1632, 13, 3197, 807, 46276, 11, 807, 646, 1281, 279, 6787, 4994, 39030, 323, 40530, 261, 13, 31399, 311, 80009, 11, 33404, 505, 8400, 6493, 279, 5537, 1667, 264, 775, 1055, 1466, 11, 44901, 476, 505, 8400, 22897, 15625, 13, 1096, 686, 4057, 279, 9058, 6787, 323, 686, 1083, 1492, 311, 5358, 6787, 65410, 323, 6749, 4830, 64960, 304, 279, 54205, 5671, 624, 17, 13, 5443, 7015, 4574, 13, 3197, 2087, 304, 279, 7015, 11, 990, 264, 7015, 4574, 311, 2506, 279, 7015, 504, 89200, 1846, 5671, 315, 697, 6787, 429, 498, 1513, 944, 1366, 3709, 39030, 13, 22201, 264, 7015, 4574, 448, 264, 1550, 86748, 1372, 320, 30092, 19171, 37729, 8, 1741, 438, 86748, 220, 19, 20, 389, 429, 5537, 13, 7281, 979, 498, 2525, 700, 315, 279, 7015, 11, 3796, 32113, 5590, 311, 279, 3082, 11, 438, 432, 594, 1083, 3881, 311, 387, 264, 5810, 6787, 3100, 798, 624, 18, 13, 41062, 89519, 11, 23522, 17438, 429, 374, 20174, 323, 10655, 13, 36226, 1095, 304, 279, 54205, 5671, 525, 3881, 311, 5240, 6319, 6019, 13, 34006, 55070, 17438, 323, 1008, 27268, 51954, 11, 438, 807, 1513, 944, 2138, 279, 6787, 311, 11486, 13, 7281, 10296, 17438, 7025, 11137, 521, 2577, 287, 323, 1410, 1083, 94688, 1493, 5671, 624, 19, 13, 5443, 264, 4271, 59130, 11, 323, 72607, 29273, 304, 279, 5106, 315, 279, 6869, 6513, 13, 1416, 80009, 29018, 973, 279, 6787, 11, 432, 1410, 94688, 432, 13, 40712, 11, 6319, 18773, 525, 8881, 553, 6783, 38576, 13, 1416, 498, 72607, 1449, 1899, 11, 697, 6787, 13553, 311, 6016, 432, 773, 432, 6319, 724, 705, 13, 5765, 943, 315, 10895, 311, 697, 6787, 686, 2987, 1855, 264, 51964, 476, 48228, 588, 13, 75742, 287, 646, 1083, 5240, 6319, 6019, 421, 432, 594, 2238, 4017, 624, 20, 13, 44514, 803, 23880, 323, 25322, 13, 434, 67898, 11, 84038, 323, 62394, 11, 304, 3953, 11, 323, 6176, 11, 15933, 88, 23880, 614, 10077, 315, 80015, 429, 7789, 304, 17719, 2560, 789, 367, 315, 279, 6787, 13, 82581, 3015, 1083, 8609, 311, 18198, 61086, 700, 315, 279, 2487, 624, 21, 13, 47473, 803, 3015, 13, 1084, 374, 825, 315, 279, 1850, 5510, 311, 60887, 1437, 13, 2619, 374, 902, 825, 7174, 2220, 1199, 22346, 311, 1246, 1753, 3015, 264, 1697, 1265, 7027, 13, 1634, 264, 4586, 5912, 11, 3498, 11, 3198, 1265, 7027, 220, 16, 17, 23, 48038, 264, 1899, 11, 323, 2953, 1265, 24057, 220, 16, 17, 23, 48038, 315, 3015, 264, 1899, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 7949, 1525, 538, 30, 151645, 198, 151644, 77091, 198, 10673, 538, 374, 264, 1352, 315, 3720, 24761, 429, 374, 8947, 304, 279, 16566, 979, 39020, 68845, 448, 46403, 18952, 3341, 323, 518, 3245, 825, 17072, 17356, 23628, 320, 53, 7612, 568, 3197, 419, 12720, 13666, 11, 18730, 525, 5880, 1119, 279, 16566, 11, 323, 23552, 518, 279, 4910, 2188, 90011, 27756, 31146, 320, 78, 8684, 568, 2009, 315, 419, 11450, 1128, 582, 2908, 1525, 538, 13, 34290, 1635, 614, 3884, 458, 5263, 304, 20686, 369, 279, 13951, 315, 1525, 538, 4152, 311, 1181, 27756, 6239, 6974, 2176, 12677, 323, 279, 4573, 382, 565, 10388, 697, 1803, 14132, 271, 16, 13, 16150, 2686, 13, 55020, 429, 1598, 1172, 389, 45495, 8193, 46403, 39489, 438, 264, 553, 3031, 315, 9842, 323, 877, 2718, 11, 773, 825, 4135, 1616, 311, 3931, 1182, 389, 20143, 374, 311, 6541, 2686, 13, 9735, 11435, 11, 66080, 11, 476, 4633, 584, 24065, 4518, 13, 1416, 697, 3728, 374, 3265, 3322, 11, 1430, 11435, 476, 66080, 11, 5310, 421, 279, 9106, 702, 51802, 369, 4240, 705, 320, 1778, 2007, 11, 18813, 11, 4992, 35334, 8999, 3460, 9720, 3010, 584, 17903, 1741, 438, 33380, 11, 1186, 2284, 11, 27688, 323, 330, 28736, 323, 11877, 1, 892, 6147, 498, 311, 6118, 697, 7310, 323, 1896, 584, 24065, 311, 697, 9106, 13, 4320, 944, 6541, 2337, 3654, 3039, 13, 1752, 3110, 11, 6541, 2686, 2337, 16162, 9442, 18346, 11, 979, 432, 374, 9016, 4017, 11, 476, 979, 1052, 525, 76437, 18993, 304, 2456, 13, 1096, 374, 1576, 6819, 282, 18618, 2484, 1119, 27756, 4910, 2188, 76437, 979, 807, 8628, 705, 13, 1416, 9842, 374, 264, 31861, 11, 1430, 6243, 705, 264, 1803, 10285, 773, 1052, 525, 16745, 9331, 389, 279, 5636, 323, 16745, 22466, 1660, 1865, 624, 17, 13, 86377, 697, 1803, 13, 55378, 697, 1803, 330, 37028, 1, 686, 537, 1172, 7269, 49852, 323, 3581, 3220, 11, 432, 646, 1083, 7949, 20143, 13, 2126, 5792, 25240, 26761, 323, 5590, 4344, 323, 1281, 2704, 697, 30700, 525, 10277, 69854, 311, 5978, 697, 1803, 374, 30201, 518, 1181, 1850, 13, 8999, 5302, 1373, 1525, 538, 323, 40253, 7032, 311, 1281, 2704, 697, 1803, 4436, 944, 89456, 2238, 1753, 24761, 13, 4220, 525, 5990, 2567, 29071, 476, 6032, 12, 1020, 1832, 13, 758, 1489, 1095, 697, 30700, 311, 279, 4396, 7262, 6147, 279, 4712, 311, 729, 2664, 553, 20337, 264, 24020, 2795, 13, 19960, 697, 44139, 476, 697, 6372, 594, 11376, 369, 3151, 1995, 8826, 13404, 369, 697, 7310, 624, 18, 13, 36284, 705, 304, 35821, 19879, 13, 33726, 6819, 4124, 304, 279, 6556, 476, 2937, 304, 279, 11458, 979, 19879, 5943, 13, 1096, 27934, 279, 282, 18618, 504, 45495, 504, 23579, 705, 323, 6825, 27756, 61086, 518, 4910, 2188, 320, 78, 8684, 568, 2619, 525, 10555, 10416, 8173, 429, 525, 304, 279, 4278, 1741, 438, 61672, 11, 5810, 6819, 11, 323, 34684, 11, 714, 537, 678, 21106, 646, 729, 1007, 315, 1493, 10416, 8173, 624, 19, 13, 30988, 264, 24989, 476, 9072, 7310, 13, 4220, 11474, 614, 1012, 3881, 311, 27957, 7949, 20143, 369, 1657, 7966, 320, 80480, 389, 279, 943, 315, 1614, 568, 4329, 18472, 279, 15293, 315, 10416, 1393, 3800, 653, 3123, 448, 10416, 30055, 13, 576, 1102, 374, 264, 13951, 304, 9787, 13768, 20143, 323, 8916, 264, 13951, 304, 1525, 538, 13, 49627, 11474, 525, 58361, 553, 45495, 7484, 714, 614, 279, 5726, 311, 1395, 11850, 4802, 323, 990, 432, 311, 2355, 279, 1803, 11, 12942, 304, 2686, 10416, 15293, 13, 20598, 11474, 525, 22333, 553, 17728, 7484, 323, 1969, 387, 58229, 304, 323, 11430, 304, 1973, 311, 6541, 13, 52809, 3419, 96105, 525, 279, 1850, 315, 2176, 23859, 11, 4303, 1007, 315, 2987, 17728, 476, 45495, 4192, 565, 10388, 697, 15293, 14132, 271, 16, 13, 34006, 1550, 92521, 3871, 13, 92521, 82, 525, 25266, 429, 6707, 12449, 1119, 279, 16566, 1526, 4185, 990, 2163, 279, 3753, 13, 4248, 279, 4065, 2383, 315, 13732, 3871, 311, 8253, 421, 807, 6644, 92521, 82, 13, 25311, 315, 4185, 3871, 2924, 30995, 2453, 3871, 320, 67223, 603, 11, 8372, 3923, 12904, 701, 6177, 5950, 35523, 476, 64458, 1299, 8969, 320, 76, 87540, 81782, 701, 323, 48725, 337, 22899, 3871, 320, 8088, 2145, 568, 4248, 279, 5055, 9976, 315, 6267, 594, 75973, 15530, 9994, 369, 803, 1995, 911, 3151, 3871, 323, 862, 13966, 13, 14028, 369, 330, 13250, 1, 3871, 429, 1513, 944, 6644, 92521, 82, 13, 1416, 498, 1969, 990, 92521, 3871, 11, 3695, 304, 2613, 32676, 429, 646, 387, 1483, 6157, 4518, 315, 9768, 13, 1416, 498, 1969, 3553, 279, 1985, 11, 653, 773, 304, 264, 38969, 19046, 11, 4024, 5476, 11, 304, 264, 1632, 12, 684, 92483, 3082, 624, 17, 13, 34006, 6819, 40403, 19515, 7096, 13, 20854, 21908, 20143, 525, 825, 315, 279, 3598, 11137, 315, 1525, 538, 313, 48764, 504, 11474, 476, 36025, 7096, 13, 9735, 41588, 21896, 36025, 296, 15965, 11, 60216, 10637, 11, 11013, 22780, 11, 476, 894, 1008, 36025, 7096, 429, 646, 387, 22333, 9072, 745, 13, 1446, 646, 1083, 5648, 296, 23184, 30055, 553, 10018, 279, 3684, 304, 697, 19515, 13, 16554, 369, 20443, 16359, 11, 20038, 360, 805, 11, 2588, 54790, 11, 476, 6946, 35436, 311, 653, 3123, 448, 296, 23184, 15683, 13, 1096, 686, 1083, 3581, 498, 882, 323, 3220, 7391, 389, 13404, 323, 72741, 13, 2619, 525, 1083, 330, 7951, 16359, 26450, 1, 429, 1401, 323, 1160, 1075, 8606, 16359, 58990, 11, 714, 1373, 2686, 13404, 624, 18, 13, 11292, 2205, 13, 3197, 498, 3695, 3871, 429, 525, 1865, 23490, 11, 432, 15104, 1495, 389, 279, 2783, 315, 7557, 892, 25271, 20143, 13, 8774, 20336, 6, 11725, 323, 29587, 10533, 646, 1492, 498, 8253, 1380, 3589, 1033, 8947, 13, 2619, 525, 1657, 6594, 2860, 429, 2656, 2205, 22630, 323, 36149, 1741, 438, 7139, 8774, 12098, 11, 46560, 17482, 88611, 11, 323, 4598, 7319, 13, 30809, 20336, 6, 11725, 11, 1430, 2205, 20336, 6, 13352, 11, 33224, 11, 323, 3164, 4699, 13, 2619, 525, 1496, 1657, 15556, 429, 525, 18169, 279, 7203, 6974, 12613, 23490, 14700, 3589, 13, 7405, 264, 3942, 13551, 13, 46560, 23880, 323, 13779, 369, 697, 3942, 323, 2205, 7982, 624, 19, 13, 2823, 4802, 11050, 304, 697, 2114, 13, 576, 2686, 4802, 498, 24057, 518, 2114, 11, 279, 2686, 82561, 429, 525, 5880, 1119, 279, 16566, 13, 2619, 525, 1657, 5510, 311, 18472, 4802, 15293, 2670, 1526, 17716, 11, 23579, 323, 26917, 11, 323, 55354, 990, 13, 29558, 697, 2310, 3625, 61352, 1168, 3100, 53220, 448, 4802, 13997, 14761, 11706, 3625, 437, 3300, 805, 11, 96316, 82, 11, 323, 55572, 892, 646, 387, 1730, 518, 697, 2205, 11773, 3553, 13, 1752, 23579, 323, 26917, 1430, 4802, 57985, 8962, 3562, 1862, 429, 9463, 7585, 19879, 1393, 498, 2299, 3123, 504, 2114, 13, 14028, 369, 4802, 72816, 33702, 429, 990, 2686, 4802, 1741, 438, 11369, 388, 11, 9058, 388, 11, 29377, 2973, 11, 323, 12000, 69445, 388, 4192, 565, 11778, 264, 2498, 271, 16, 13, 4320, 944, 1824, 11104, 429, 614, 7852, 12158, 12378, 13, 3216, 537, 12613, 35654, 504, 1493, 5110, 11, 498, 4828, 17526, 315, 279, 3491, 13, 1752, 3110, 11, 5110, 1075, 38905, 273, 11, 96854, 11, 323, 35767, 614, 1012, 3881, 311, 537, 1172, 912, 24761, 311, 279, 3720, 714, 311, 1083, 40487, 24761, 14305, 13, 1527, 906, 1741, 438, 27227, 3337, 1716, 646, 1492, 498, 10542, 3871, 323, 5110, 448, 7852, 12158, 3754, 7424, 11, 4936, 553, 35101, 264, 1985, 594, 49407, 624, 17, 13, 17582, 1272, 697, 28931, 13, 4320, 944, 387, 16575, 311, 3291, 1251, 697, 9459, 389, 279, 4265, 11, 323, 1128, 498, 525, 3730, 311, 1492, 11625, 432, 13, 1446, 646, 653, 419, 553, 12094, 311, 1846, 18093, 311, 498, 320, 18984, 11, 4780, 11, 1062, 62284, 8, 476, 5545, 803, 1251, 1526, 3590, 3687, 320, 20489, 11, 6271, 11, 13370, 568, 5145, 264, 3942, 2390, 1741, 438, 458, 20162, 311, 8290, 3100, 53220, 476, 264, 1803, 10285, 311, 264, 36400, 594, 3081, 3055, 264, 2254, 13, 5145, 264, 1803, 10285, 448, 697, 1062, 62284, 13, 2806, 1172, 686, 432, 3931, 1495, 389, 20143, 714, 432, 686, 19869, 697, 11677, 369, 279, 5240, 624, 18, 13, 9180, 2205, 18761, 323, 2562, 6036, 13, 20437, 1105, 369, 1995, 911, 1128, 807, 525, 3730, 311, 7949, 1525, 538, 5866, 304, 697, 3942, 13, 1416, 807, 653, 537, 9851, 476, 9851, 448, 45479, 10953, 11, 2908, 46238, 369, 2297, 13, 7075, 264, 20361, 13, 2619, 525, 1657, 74454, 2860, 429, 525, 46238, 369, 2664, 3720, 4271, 2524, 553, 1039, 3033, 13, 7379, 825, 429, 38935, 697, 2734, 11, 476, 1191, 697, 1828, 13, 9735, 6594, 1075, 2297, 2659, 476, 74454, 15684, 7675, 14156, 311, 1401, 369, 74454, 476, 1191, 825, 389, 264, 9155, 11, 2205, 2188, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1281, 458, 24615, 389, 24538, 30, 151645, 198, 151644, 77091, 198, 565, 5443, 264, 3811, 389, 11030, 271, 16, 13, 5264, 5100, 21029, 13, 1084, 594, 264, 6176, 4603, 448, 264, 4158, 330, 55, 1, 389, 432, 13, 576, 5100, 21029, 2114, 2150, 686, 1787, 624, 17, 13, 7542, 369, 458, 24615, 3811, 13, 3990, 24615, 1119, 279, 2711, 3619, 518, 279, 1909, 315, 279, 2150, 11, 1221, 3493, 9035, 113, 11252, 311, 2711, 369, 24615, 19911, 13, 1446, 1969, 387, 8433, 311, 279, 8031, 304, 1973, 311, 2711, 369, 19911, 624, 18, 13, 8427, 264, 3811, 13, 9189, 264, 3811, 429, 498, 1366, 311, 990, 311, 1787, 432, 304, 264, 3241, 624, 19, 13, 9189, 4230, 13, 1096, 3137, 374, 311, 279, 1290, 315, 279, 3811, 594, 17124, 13, 43145, 773, 686, 1787, 279, 3811, 304, 5100, 21029, 624, 20, 13, 8340, 279, 3811, 311, 4946, 697, 3880, 13, 1752, 3110, 11, 1429, 19911, 614, 330, 14491, 1, 5326, 3941, 279, 1909, 26, 498, 1035, 8290, 419, 14496, 448, 697, 2813, 594, 829, 13, 2014, 4499, 1467, 389, 279, 21029, 2197, 11, 1990, 28118, 279, 1467, 1509, 11, 1221, 4057, 279, 1467, 1509, 476, 8290, 432, 448, 697, 1828, 624, 21, 13, 21979, 700, 279, 24615, 13, 11252, 894, 1995, 2567, 553, 697, 24615, 3811, 311, 5978, 429, 279, 1590, 2790, 9071, 1128, 498, 2299, 47909, 13, 1752, 3110, 11, 1045, 24615, 19911, 686, 1373, 498, 311, 3725, 458, 46629, 4379, 476, 264, 8356, 6757, 13, 7496, 24615, 19911, 990, 54079, 311, 15963, 697, 10636, 46629, 323, 279, 1372, 315, 4115, 6439, 304, 279, 330, 19357, 10657, 1, 3745, 624, 22, 13, 10255, 697, 24615, 13, 9189, 2887, 304, 279, 8416, 7950, 3108, 315, 279, 2150, 11, 4205, 10255, 1634, 11, 1990, 28118, 264, 3581, 3728, 11, 3725, 697, 24615, 594, 829, 11, 323, 4205, 10255, 13, 1096, 686, 3581, 697, 31689, 24615, 304, 697, 4091, 3581, 3728, 13, 4615, 24615, 374, 1431, 5527, 311, 387, 3208, 4192, 565, 5443, 264, 3811, 389, 8978, 271, 16, 13, 5264, 5100, 21029, 13, 1084, 594, 264, 6176, 3745, 448, 264, 4158, 330, 55, 1, 389, 432, 13, 21029, 686, 1787, 624, 17, 13, 9189, 2887, 13, 1096, 5022, 1509, 374, 304, 279, 1909, 7950, 3108, 315, 279, 2150, 13, 362, 5943, 14875, 5022, 686, 4994, 3685, 432, 624, 18, 13, 9189, 1532, 504, 14355, 13, 1084, 594, 458, 2999, 304, 279, 2887, 5943, 14875, 5022, 13, 43145, 773, 15885, 264, 501, 2150, 448, 3811, 2606, 624, 19, 13, 7542, 369, 458, 24615, 3811, 13, 3990, 24615, 1119, 279, 2711, 3619, 304, 279, 1909, 6701, 9131, 315, 279, 2150, 11, 1221, 3493, 2858, 237, 236, 3411, 13, 1446, 1969, 387, 8433, 311, 279, 8031, 304, 1973, 311, 2711, 369, 19911, 624, 20, 13, 8427, 264, 3811, 13, 9189, 264, 3811, 311, 1787, 264, 17124, 3241, 448, 279, 3811, 12596, 624, 21, 13, 9189, 5264, 13, 1084, 594, 304, 279, 17124, 3241, 13, 1096, 686, 1787, 279, 24615, 3811, 438, 264, 501, 2197, 624, 22, 13, 8340, 279, 3811, 311, 4946, 697, 3880, 13, 1752, 3110, 11, 1429, 19911, 614, 330, 14491, 1, 5326, 3941, 279, 1909, 26, 498, 1035, 8290, 419, 14496, 448, 697, 2813, 594, 829, 13, 2014, 4499, 1467, 389, 279, 21029, 2197, 11, 1990, 28118, 279, 1467, 1509, 11, 1221, 4057, 279, 1467, 1509, 476, 8290, 432, 448, 697, 1828, 624, 23, 13, 21979, 700, 279, 24615, 13, 11252, 894, 1995, 2567, 553, 697, 24615, 3811, 311, 5978, 429, 279, 1590, 2790, 9071, 1128, 498, 2299, 47909, 13, 1752, 3110, 11, 1045, 24615, 19911, 686, 1373, 498, 311, 3725, 458, 46629, 4379, 476, 264, 8356, 6757, 13, 7496, 24615, 19911, 990, 54079, 311, 15963, 697, 10636, 46629, 323, 279, 1372, 315, 4115, 6439, 304, 279, 330, 19357, 10657, 1, 3745, 624, 24, 13, 10255, 697, 24615, 13, 9189, 279, 2887, 5022, 1509, 11, 4205, 10255, 1634, 11, 3725, 264, 829, 369, 697, 24615, 11, 323, 4205, 10255, 13, 4615, 24615, 374, 1431, 5527, 311, 387, 3208, 4192, 565, 4230, 458, 24615, 20083, 271, 16, 13, 5264, 5100, 21029, 13, 1084, 594, 264, 6176, 3745, 448, 264, 4158, 330, 55, 1, 389, 432, 13, 576, 5100, 21029, 2114, 2150, 686, 1787, 624, 17, 13, 9189, 42441, 83462, 13, 1096, 2999, 374, 304, 279, 8416, 7950, 3108, 315, 279, 21029, 2114, 2150, 13, 362, 10113, 45886, 686, 1787, 13, 1913, 7401, 11, 10706, 419, 3019, 421, 21029, 15885, 311, 264, 10113, 2197, 624, 18, 13, 4230, 279, 24615, 14496, 13, 4615, 14496, 1265, 2924, 279, 2701, 1995, 510, 197, 9, 715, 197, 9, 8188, 829, 481, 576, 829, 315, 279, 2813, 311, 8711, 279, 24615, 10514, 686, 387, 20204, 13, 55692, 481, 576, 3409, 330, 34674, 1, 476, 264, 4008, 315, 279, 943, 315, 24615, 432, 374, 11, 1741, 438, 330, 6972, 24535, 1, 421, 498, 2299, 56518, 264, 3349, 369, 697, 3516, 311, 264, 2943, 4518, 315, 33531, 369, 1105, 13, 2631, 481, 576, 2400, 389, 892, 498, 2299, 4378, 279, 24615, 13, 5624, 481, 576, 24615, 1372, 13, 1446, 646, 2987, 990, 264, 3644, 78262, 1849, 369, 678, 697, 8239, 476, 3842, 78262, 369, 1817, 2943, 13, 1416, 498, 5157, 311, 1372, 369, 1817, 2943, 11, 498, 646, 2924, 279, 2943, 829, 476, 264, 1352, 315, 432, 304, 279, 24615, 1372, 11, 1741, 438, 330, 23306, 6660, 16, 10040, 19, 13, 11252, 279, 4646, 323, 21713, 14230, 13, 1096, 1995, 1265, 4994, 3143, 279, 1909, 315, 279, 24615, 11, 448, 697, 1995, 3403, 279, 2943, 594, 13, 4615, 3645, 1995, 1265, 2924, 697, 829, 11, 697, 2813, 594, 2621, 11, 264, 4540, 1372, 11, 323, 458, 2551, 2621, 13, 4615, 2943, 594, 1995, 1265, 2924, 279, 2813, 829, 11, 279, 829, 315, 279, 9618, 44591, 1697, 11, 323, 279, 2943, 2621, 13, 1446, 646, 1083, 2924, 279, 2943, 594, 4540, 323, 2551, 2621, 624, 20, 13, 11252, 697, 33531, 1995, 13, 1446, 646, 47672, 264, 3250, 311, 264, 2805, 4008, 315, 279, 1985, 476, 2473, 11, 264, 3250, 311, 12194, 11, 264, 3250, 311, 4982, 3349, 476, 4379, 11, 323, 264, 16588, 3250, 369, 279, 2790, 3349, 369, 279, 12194, 14733, 315, 429, 1509, 624, 21, 13, 10623, 279, 3311, 315, 279, 2790, 4031, 13, 1096, 1265, 4994, 3685, 279, 16588, 3250, 315, 3842, 10195, 323, 646, 387, 7907, 448, 21029, 594, 30735, 729, 13, 1752, 3110, 25, 421, 498, 614, 400, 16, 18, 315, 975, 304, 2779, 425, 18, 323, 400, 17, 22, 315, 975, 304, 425, 19, 11, 498, 2578, 2182, 279, 14806, 284, 27377, 5349, 18, 8161, 19, 8, 304, 2779, 425, 20, 311, 3037, 400, 19, 15, 304, 429, 2779, 13, 1416, 498, 1483, 458, 46629, 4379, 320, 68, 1302, 2572, 400, 18, 15, 8, 304, 2779, 425, 18, 323, 264, 1372, 315, 4115, 320, 68, 1302, 2572, 220, 18, 8, 304, 425, 19, 11, 498, 1035, 4518, 3270, 284, 27377, 5349, 18, 59, 9, 33, 19, 8, 304, 2779, 425, 20, 624, 22, 13, 29734, 279, 3793, 315, 8160, 13, 1096, 646, 4994, 2987, 3403, 476, 3685, 279, 33531, 1995, 13, 7718, 8160, 3793, 525, 330, 33060, 389, 22567, 1335, 330, 33060, 2878, 220, 16, 19, 2849, 1335, 330, 33060, 2878, 220, 18, 15, 2849, 1335, 476, 330, 33060, 2878, 220, 21, 15, 2849, 1189, 1446, 1231, 1083, 1366, 311, 2924, 264, 21438, 518, 279, 5622, 315, 279, 24615, 18202, 11666, 5413, 315, 8160, 11, 4586, 1995, 11, 476, 264, 9702, 45417, 311, 697, 6002, 369, 11919, 448, 498, 624, 23, 13, 10255, 697, 24615, 13, 5443, 264, 829, 429, 686, 32037, 279, 24615, 504, 1008, 64052, 498, 3003, 3208, 311, 697, 2943, 421, 5871, 13, 2014, 3581, 697, 24615, 510, 197, 9, 715, 197, 9, 5515, 481, 9189, 2887, 304, 279, 8416, 7950, 3108, 315, 279, 2150, 11, 4205, 10255, 1634, 11, 1990, 28118, 264, 3581, 3728, 11, 3725, 697, 24615, 594, 829, 11, 323, 4205, 10255, 13, 7401, 481, 9189, 279, 2887, 5022, 1509, 11, 4205, 10255, 1634, 11, 3725, 264, 829, 369, 697, 24615, 11, 323, 4205, 10255, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1281, 1424, 29921, 5612, 37659, 51954, 30, 151645, 198, 151644, 77091, 198, 2679, 498, 1075, 3594, 37659, 5567, 11, 498, 2578, 1075, 3594, 37659, 13055, 2238, 13, 1084, 374, 28292, 4135, 311, 1855, 13, 576, 1429, 8606, 1714, 5711, 47495, 424, 61841, 323, 3015, 311, 1855, 264, 12045, 2331, 11, 714, 498, 646, 1083, 990, 80009, 12644, 4518, 13, 576, 8606, 1714, 4990, 264, 1393, 311, 10549, 11, 714, 279, 3059, 525, 5802, 432, 13, 576, 80009, 12644, 1714, 374, 1753, 10596, 11, 714, 432, 646, 633, 45846, 0, 1232, 45569, 1714, 498, 5157, 11, 498, 525, 6822, 311, 835, 705, 448, 2494, 4911, 323, 6233, 382, 565, 5443, 3015, 323, 47495, 424, 61841, 271, 16, 13, 2055, 585, 4158, 13055, 304, 264, 6291, 315, 32960, 323, 3015, 279, 1899, 1573, 13, 758, 264, 15621, 11, 15963, 220, 17, 55488, 320, 17, 21, 33319, 8, 315, 32960, 323, 220, 17, 50122, 320, 23, 92866, 8, 315, 3015, 13, 2055, 585, 697, 13055, 304, 279, 6291, 369, 220, 17, 15, 4420, 11, 1221, 1896, 432, 700, 13, 467, 12640, 700, 279, 13623, 3015, 11, 1221, 14678, 279, 13055, 705, 311, 9058, 13, 3155, 537, 73241, 279, 32960, 700, 315, 279, 13055, 13, 1674, 372, 646, 29018, 349, 6787, 13, 1084, 1035, 387, 264, 1661, 4522, 311, 9850, 35416, 13, 5443, 4158, 13055, 429, 374, 29144, 323, 10876, 304, 10434, 11, 1741, 438, 3091, 3732, 11, 23522, 11, 3100, 54015, 11, 476, 39944, 13, 34006, 8811, 51954, 11, 1741, 438, 10041, 624, 17, 13, 46812, 220, 17, 55488, 320, 16, 15, 33319, 8, 315, 47495, 424, 61841, 323, 220, 16, 49580, 320, 19, 92866, 8, 315, 3015, 13, 19219, 279, 1378, 3786, 1667, 264, 61795, 476, 1424, 14, 12543, 1325, 61795, 13, 5145, 553, 26792, 279, 47495, 424, 61841, 220, 16, 41284, 518, 264, 882, 1119, 220, 17, 25374, 320, 19, 22, 20, 2544, 3664, 388, 8, 315, 3015, 11, 1221, 912, 279, 6291, 311, 279, 2732, 315, 279, 3015, 13, 1084, 374, 1850, 311, 10549, 419, 304, 279, 40970, 311, 1281, 279, 1790, 3019, 8661, 13, 3155, 537, 990, 279, 64443, 32960, 3015, 369, 419, 624, 18, 13, 74158, 349, 279, 6291, 369, 220, 16, 17, 311, 220, 17, 19, 4115, 13, 1446, 646, 653, 419, 518, 279, 1852, 882, 438, 498, 525, 77346, 279, 13055, 304, 279, 32960, 13, 9646, 279, 220, 16, 17, 311, 220, 17, 19, 4115, 525, 705, 11, 1896, 279, 40970, 700, 315, 279, 37581, 11, 323, 1077, 432, 2525, 311, 3054, 9315, 11, 911, 220, 16, 6460, 624, 19, 13, 25968, 279, 6291, 1119, 264, 3460, 11, 12188, 14938, 11, 323, 1077, 432, 2444, 369, 518, 3245, 220, 18, 4115, 13, 576, 3015, 374, 5527, 3055, 432, 10577, 2797, 13, 576, 14938, 3880, 311, 387, 1293, 3322, 323, 6884, 3322, 369, 279, 13055, 311, 2444, 4766, 432, 11, 448, 518, 3245, 264, 220, 16, 24241, 320, 17, 13, 20, 19, 21217, 25334, 8, 3886, 389, 678, 11067, 315, 279, 13055, 279, 13055, 11568, 3015, 3880, 311, 387, 220, 16, 311, 220, 17, 14924, 320, 17, 13, 20, 19, 311, 220, 20, 13, 15, 23, 2889, 54236, 8, 5538, 13, 1416, 498, 1513, 944, 614, 3322, 3015, 11, 498, 1265, 1281, 2441, 7162, 624, 20, 13, 52767, 1070, 279, 58641, 56848, 448, 1045, 7722, 3015, 13, 22201, 220, 16, 311, 220, 18, 7987, 315, 58641, 6177, 11, 1221, 4914, 1817, 1894, 1119, 264, 2613, 10525, 13, 64192, 304, 3322, 3015, 1119, 1817, 10525, 773, 429, 279, 6177, 4990, 389, 279, 28137, 315, 8811, 97522, 12644, 13, 3155, 537, 990, 279, 47495, 424, 61841, 3015, 369, 419, 624, 21, 13, 10771, 6973, 89492, 315, 6177, 916, 279, 7329, 315, 279, 3015, 13, 1446, 646, 653, 419, 448, 458, 90672, 299, 6922, 476, 264, 23626, 6535, 13, 15733, 279, 6177, 3265, 311, 279, 7329, 315, 279, 3015, 26, 1513, 944, 3331, 697, 1424, 1550, 3403, 432, 13, 1446, 1366, 279, 6177, 311, 2224, 13, 1416, 432, 56952, 1119, 279, 3015, 11, 498, 525, 2987, 25100, 432, 504, 2238, 1550, 705, 11, 476, 279, 6177, 374, 2238, 12045, 13, 1416, 279, 6177, 374, 2238, 12045, 11, 912, 1045, 803, 3015, 311, 432, 13, 5443, 264, 501, 6973, 6922, 476, 23626, 6535, 369, 1817, 1894, 624, 22, 13, 4492, 2811, 279, 6177, 21025, 3786, 13, 2619, 374, 902, 1290, 476, 4969, 1616, 311, 297, 419, 13, 1446, 646, 86360, 279, 6973, 89492, 3786, 304, 264, 41097, 448, 264, 25507, 29245, 13, 1446, 646, 1083, 10921, 264, 25507, 29245, 1182, 9777, 15193, 339, 11, 1221, 705, 9777, 14875, 1526, 279, 3015, 13, 1446, 646, 1496, 990, 264, 22435, 476, 264, 6884, 4686, 8767, 291, 3614, 311, 653, 419, 624, 23, 13, 479, 4402, 10962, 279, 13055, 389, 1909, 315, 279, 3015, 13, 3155, 537, 3493, 279, 13055, 1119, 476, 1212, 279, 3015, 26, 498, 1366, 432, 11699, 1290, 389, 279, 7329, 13, 1416, 498, 1490, 894, 3720, 43683, 11, 29273, 51551, 1105, 3080, 279, 13055, 56522, 38411, 2348, 279, 7329, 1549, 13, 1416, 697, 13055, 702, 264, 1290, 323, 4969, 3108, 11, 1281, 2704, 498, 525, 24047, 432, 1290, 24067, 14875, 13, 22749, 279, 13055, 553, 279, 11067, 438, 498, 4722, 432, 8630, 279, 3015, 773, 429, 279, 6149, 28627, 279, 7329, 1156, 624, 24, 13, 52435, 279, 13055, 700, 323, 738, 432, 1495, 8630, 264, 10834, 315, 16803, 311, 9058, 13, 1416, 498, 525, 17811, 911, 279, 26415, 49951, 311, 279, 13055, 11, 498, 646, 990, 10113, 3669, 1350, 476, 5567, 27578, 4518, 13, 2411, 419, 1459, 11, 498, 646, 23604, 2441, 6573, 315, 13055, 1119, 279, 61390, 13, 1446, 646, 1083, 990, 264, 10834, 315, 5567, 311, 6530, 279, 64443, 6177, 11, 1221, 5943, 323, 86360, 501, 6177, 8630, 279, 7329, 624, 16, 15, 13, 26530, 279, 13055, 311, 9058, 11, 1221, 73241, 432, 304, 9255, 3015, 13, 40775, 279, 13055, 705, 311, 9058, 11, 51654, 304, 279, 7015, 13, 9646, 279, 13055, 374, 6587, 9058, 11, 73241, 432, 448, 9255, 3015, 11, 1221, 14678, 432, 705, 311, 9058, 1549, 624, 16, 16, 13, 16570, 279, 13055, 1283, 432, 294, 4019, 311, 1492, 738, 279, 6177, 1119, 432, 13, 17757, 279, 13055, 448, 264, 15243, 42613, 476, 11001, 287, 27292, 1156, 11, 1221, 1494, 458, 11001, 916, 432, 13, 5443, 264, 6243, 14452, 369, 279, 943, 315, 13055, 498, 525, 1667, 320, 66, 16881, 11, 54015, 11, 39944, 11, 4992, 13, 873, 4192, 565, 5443, 72607, 12644, 271, 16, 13, 5985, 279, 13055, 1667, 27686, 38862, 323, 4017, 3015, 13, 1096, 686, 537, 1172, 4057, 894, 33036, 429, 2578, 5358, 279, 6177, 504, 34951, 287, 11, 714, 432, 686, 1083, 855, 7514, 34365, 279, 13055, 438, 1632, 13, 9646, 279, 13055, 374, 9058, 11, 498, 646, 3493, 432, 10063, 448, 458, 11001, 11, 714, 419, 374, 537, 10875, 5871, 13, 37696, 686, 975, 279, 1850, 1588, 11, 714, 498, 646, 990, 1008, 11, 2477, 1331, 1872, 17556, 13055, 438, 1632, 624, 17, 13, 67767, 264, 25600, 34688, 448, 14396, 80009, 12644, 13, 47716, 279, 80009, 12644, 2163, 279, 34688, 773, 429, 498, 614, 264, 12045, 11, 1496, 6193, 504, 6821, 4686, 47348, 11, 9131, 4686, 87595, 13, 1752, 1850, 3059, 11, 990, 14396, 11, 4158, 80009, 12644, 11, 448, 902, 3694, 294, 9693, 11, 31362, 11, 476, 21784, 18618, 13, 1446, 686, 387, 30035, 697, 13055, 700, 304, 419, 34688, 11, 773, 1281, 2704, 429, 279, 34688, 374, 2409, 3322, 369, 432, 624, 18, 13, 10771, 21025, 315, 13055, 6177, 26618, 389, 1909, 315, 279, 80009, 12644, 13, 9735, 311, 3550, 279, 21025, 26618, 13, 36307, 6177, 686, 975, 279, 1850, 11, 714, 498, 646, 990, 58641, 6177, 438, 1632, 13, 1416, 498, 525, 2087, 311, 990, 58641, 6177, 11, 728, 369, 279, 71078, 3093, 4751, 1091, 279, 3093, 429, 4041, 304, 264, 13705, 26, 432, 374, 64255, 323, 8661, 311, 5943, 700, 13, 5443, 825, 1894, 369, 264, 4285, 2456, 11, 323, 1378, 476, 2326, 7987, 369, 264, 80597, 1268, 2456, 13, 5443, 5792, 13055, 6177, 13, 4320, 944, 990, 330, 79, 29877, 6177, 1, 476, 330, 42539, 278, 13055, 6177, 10040, 19, 13, 4492, 2811, 279, 6177, 2163, 448, 264, 25507, 29245, 13, 1205, 523, 264, 25507, 29245, 1526, 279, 80009, 12644, 3108, 4686, 24067, 323, 1909, 4686, 11381, 13, 31733, 1910, 311, 912, 1045, 18318, 1127, 304, 1052, 438, 1632, 13, 2823, 16585, 537, 311, 916, 5477, 404, 279, 6177, 11, 4764, 26, 498, 1366, 279, 80009, 12644, 311, 1401, 29214, 88, 13, 1446, 646, 1083, 990, 1008, 3589, 311, 86360, 279, 6177, 11, 1741, 438, 96338, 476, 46994, 68945, 624, 20, 13, 10771, 279, 13055, 389, 1909, 315, 279, 80009, 12644, 11, 1221, 29273, 3272, 432, 1495, 13, 13655, 3272, 1280, 432, 3080, 498, 646, 1490, 279, 6177, 12624, 25377, 389, 279, 1008, 3108, 315, 279, 13055, 13, 1416, 697, 13055, 702, 264, 12460, 1290, 323, 4969, 3108, 11, 738, 432, 1290, 24067, 14875, 624, 21, 13, 52435, 279, 13055, 3123, 323, 738, 432, 1495, 389, 1909, 315, 264, 22854, 8968, 13, 7405, 2704, 429, 498, 525, 6243, 432, 448, 279, 80009, 12644, 3108, 12880, 705, 13, 1416, 498, 1513, 944, 614, 894, 22854, 17899, 11, 498, 646, 990, 264, 12188, 1965, 87954, 11, 36023, 5567, 11, 476, 1496, 264, 5567, 8968, 13, 31828, 279, 13055, 3123, 518, 264, 8112, 9210, 4751, 1091, 7678, 705, 13, 1096, 686, 5358, 279, 13055, 504, 4633, 2238, 1753, 315, 279, 80009, 12644, 448, 432, 624, 22, 13, 2463, 19842, 279, 80009, 12644, 1007, 13, 22749, 279, 13055, 1495, 31520, 553, 825, 835, 13, 10771, 264, 1293, 11, 9317, 47980, 389, 1909, 315, 279, 13055, 11, 448, 825, 315, 279, 12822, 12880, 1495, 13, 6452, 279, 47980, 3941, 279, 13055, 311, 57128, 279, 80009, 12644, 1007, 13, 1446, 1231, 614, 311, 653, 264, 2421, 16211, 26, 387, 2704, 311, 39094, 279, 47980, 4240, 1573, 1817, 825, 624, 23, 13, 26530, 279, 6177, 311, 9058, 1573, 8628, 6243, 432, 448, 458, 11001, 13, 6771, 279, 13055, 700, 311, 9058, 11, 51654, 304, 279, 7015, 13, 9646, 432, 374, 9058, 11, 1992, 264, 15243, 42613, 476, 458, 11001, 287, 27292, 916, 432, 11, 1221, 11001, 432, 13, 2823, 2704, 311, 990, 264, 8628, 6243, 8311, 369, 279, 943, 315, 13055, 498, 525, 3238, 448, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 57581, 59464, 66069, 8457, 304, 281, 25359, 276, 5380, 30, 151645, 198, 151644, 77091, 198, 47, 25359, 276, 5380, 525, 264, 27775, 429, 525, 5310, 36997, 311, 47553, 2090, 5322, 13, 5976, 697, 5562, 1231, 614, 1008, 59464, 66069, 18808, 11, 1741, 438, 356, 40813, 594, 30874, 476, 98994, 594, 30874, 11, 94454, 79960, 1599, 374, 279, 1429, 4185, 2971, 429, 21501, 393, 25359, 276, 5380, 13, 2410, 46638, 66069, 8457, 5780, 553, 264, 8045, 315, 5036, 11, 1741, 438, 94454, 79960, 1599, 11, 5235, 26951, 30874, 11, 323, 33771, 91108, 603, 70465, 75408, 266, 10704, 11, 4221, 3800, 13, 2410, 46638, 66069, 8457, 374, 264, 31754, 2718, 2971, 11, 323, 97018, 525, 537, 2167, 2704, 315, 279, 5240, 13, 2619, 525, 5510, 311, 57581, 421, 697, 5562, 702, 419, 2971, 382, 565, 64547, 13495, 271, 16, 13, 10357, 369, 10322, 28660, 315, 18241, 13, 3776, 315, 279, 1156, 11929, 315, 59464, 66069, 8457, 374, 28660, 315, 6869, 429, 1401, 2155, 1091, 279, 2732, 315, 279, 22875, 13, 4220, 28660, 686, 6644, 6869, 429, 374, 2805, 323, 73444, 73544, 11, 1075, 38540, 624, 17, 13, 9192, 369, 7886, 58302, 6869, 4709, 13, 3197, 264, 5562, 702, 59464, 66069, 8457, 11, 279, 393, 25359, 74512, 75939, 1059, 18241, 1290, 1495, 311, 279, 6787, 323, 279, 18241, 3171, 944, 1217, 651, 13, 576, 18241, 4709, 374, 304, 264, 7886, 58302, 5383, 773, 279, 6869, 4709, 389, 279, 2115, 315, 279, 2487, 40485, 429, 389, 279, 1290, 13, 25697, 4709, 5990, 13666, 389, 279, 37311, 323, 1182, 59511, 11, 323, 537, 389, 279, 1968, 476, 4065, 14201, 624, 18, 13, 10357, 369, 6319, 28660, 315, 6787, 13, 3197, 279, 5562, 32191, 1059, 6869, 11, 279, 14900, 6787, 3545, 9044, 17071, 89500, 26980, 13, 1096, 3363, 429, 279, 6787, 4344, 504, 264, 5792, 18217, 476, 78265, 1894, 1119, 264, 6319, 13876, 476, 3691, 1894, 13, 22406, 11, 279, 6787, 374, 3545, 9058, 323, 1136, 5774, 624, 19, 13, 2823, 5115, 369, 894, 6853, 315, 6869, 6513, 13, 13293, 1616, 498, 1414, 697, 393, 25359, 74512, 702, 419, 2971, 374, 429, 6869, 1558, 537, 1217, 651, 1283, 432, 702, 1012, 73059, 476, 65199, 624, 20, 13, 14187, 429, 419, 2971, 646, 7802, 894, 5562, 13, 393, 25359, 276, 5380, 315, 894, 4231, 476, 1839, 646, 387, 11495, 13, 1096, 3363, 429, 1526, 697, 5562, 748, 4453, 2272, 11, 498, 1184, 311, 3736, 369, 11929, 315, 419, 2971, 13, 10328, 264, 5562, 646, 633, 419, 2971, 894, 882, 11, 279, 5562, 374, 9314, 5937, 1496, 421, 1340, 1558, 1191, 311, 1473, 279, 13495, 4192, 565, 7767, 3246, 960, 279, 8457, 271, 16, 13, 2823, 7853, 315, 458, 6975, 15564, 22982, 13, 576, 3491, 448, 13191, 14421, 59464, 66069, 8457, 374, 429, 97018, 7629, 944, 2704, 3170, 432, 13666, 304, 279, 1156, 1992, 13, 1096, 3643, 432, 11997, 311, 2225, 264, 3175, 1273, 429, 6696, 264, 44713, 4226, 438, 3425, 47553, 2090, 374, 11689, 4152, 59464, 66069, 8457, 476, 1045, 1008, 3491, 624, 17, 13, 11778, 697, 5562, 311, 279, 23313, 13, 576, 23313, 702, 311, 5912, 700, 678, 1008, 5322, 892, 1410, 5240, 6869, 4709, 13, 1096, 3363, 30374, 458, 16376, 1334, 315, 7032, 15039, 369, 3151, 4682, 11, 892, 646, 1221, 387, 10774, 476, 27031, 1007, 279, 1140, 13, 9646, 678, 1493, 7032, 525, 2814, 11, 323, 421, 807, 678, 2525, 1182, 8225, 11, 1221, 279, 2971, 374, 4363, 311, 387, 59464, 66069, 8457, 13, 2410, 46638, 66069, 8457, 374, 264, 22982, 315, 41208, 11, 892, 3363, 678, 1008, 3204, 11137, 315, 6869, 4709, 614, 311, 387, 27031, 1007, 279, 1140, 304, 1973, 311, 57581, 279, 2971, 13, 8999, 315, 279, 13495, 315, 59464, 66069, 8457, 11, 1075, 6869, 4709, 11, 646, 387, 4152, 311, 803, 6001, 18808, 11, 1741, 438, 356, 40813, 594, 30874, 13, 94454, 79960, 1599, 374, 537, 2272, 26805, 11, 714, 1008, 59464, 66069, 18808, 646, 387, 6001, 421, 2115, 82820, 13, 1096, 374, 3170, 4633, 697, 5562, 311, 279, 23313, 374, 773, 2989, 624, 18, 13, 12243, 5248, 7032, 1598, 13, 576, 23313, 1231, 1366, 311, 1598, 1045, 476, 678, 315, 279, 2701, 7032, 11, 892, 686, 12118, 476, 5912, 700, 1008, 4682, 892, 1231, 387, 4428, 311, 59464, 66069, 8457, 13, 576, 7032, 2924, 510, 197, 9, 66575, 1577, 6543, 1273, 198, 197, 9, 2410, 46638, 35808, 1273, 198, 197, 9, 362, 4335, 977, 4448, 198, 197, 9, 3680, 5600, 977, 62759, 198, 197, 9, 26951, 20843, 288, 198, 197, 9, 26951, 98547, 198, 197, 9, 69089, 6543, 7032, 198, 19, 13, 24742, 279, 6239, 315, 419, 8457, 13, 3197, 697, 5562, 5221, 419, 2971, 11, 1414, 429, 432, 374, 264, 45452, 2971, 13, 4615, 5562, 686, 537, 387, 304, 894, 6646, 13, 1416, 697, 23313, 702, 21286, 700, 894, 1008, 16533, 2971, 11, 1221, 697, 5562, 646, 3887, 264, 6247, 2272, 448, 279, 2971, 624, 20, 13, 7379, 279, 6169, 6380, 13, 7496, 22183, 369, 94454, 79960, 1599, 5244, 389, 10476, 279, 5562, 3063, 279, 22875, 1182, 11, 714, 807, 525, 9091, 323, 1465, 13, 8999, 59464, 66069, 5322, 525, 8881, 553, 73118, 732, 75427, 11, 773, 12590, 1231, 387, 978, 42895, 476, 25793, 12336, 13, 1416, 419, 374, 537, 458, 2999, 11, 10581, 98412, 15069, 1231, 387, 11827, 13, 6944, 6380, 2606, 1231, 387, 2500, 421, 1493, 1513, 944, 975, 13, 4354, 11, 807, 646, 5240, 30859, 24473, 11, 773, 279, 30859, 2820, 6239, 1184, 311, 387, 6509, 1790, 311, 279, 45452, 7567, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 2506, 264, 5562, 94731, 30, 151645, 198, 151644, 77091, 198, 28253, 374, 7565, 369, 697, 5562, 748, 73402, 11, 34755, 11, 12291, 29670, 11, 323, 2487, 9315, 13, 4615, 5562, 1265, 7027, 911, 825, 53708, 315, 3015, 369, 1449, 30023, 315, 4680, 389, 264, 7298, 8037, 11, 3498, 807, 1231, 1184, 803, 421, 807, 525, 50482, 476, 421, 432, 748, 4017, 4889, 13, 2014, 5978, 697, 5562, 26558, 94731, 11, 2725, 304, 264, 4271, 3015, 19212, 323, 1281, 2704, 498, 525, 44605, 1095, 697, 5562, 13444, 518, 2114, 323, 389, 279, 728, 13, 1416, 498, 1744, 697, 14895, 374, 24084, 98757, 11, 4446, 1105, 311, 279, 23313, 1290, 3123, 13, 1581, 80724, 646, 387, 2272, 26805, 421, 432, 5780, 82820, 382, 565, 5443, 264, 4271, 3015, 19212, 271, 16, 13, 2126, 264, 3015, 19212, 429, 374, 279, 1290, 1379, 369, 697, 5562, 13, 7405, 2704, 697, 5562, 748, 3015, 19212, 374, 279, 1290, 1379, 369, 1105, 11, 438, 264, 19212, 429, 374, 2238, 2409, 476, 2238, 2613, 686, 3930, 862, 2615, 311, 3015, 13, 4248, 429, 279, 3015, 19212, 374, 1865, 369, 264, 2613, 11, 11051, 11, 476, 3460, 5562, 13, 2126, 279, 1379, 429, 686, 1281, 432, 4135, 369, 697, 14895, 311, 36820, 1495, 323, 7027, 504, 279, 19212, 13, 1752, 3110, 11, 16217, 11, 15026, 59980, 525, 10507, 369, 12590, 448, 1293, 24230, 11, 1741, 438, 425, 5160, 323, 11903, 72, 2010, 13, 1096, 646, 1492, 311, 2506, 862, 24230, 700, 315, 279, 19212, 11, 892, 646, 7949, 279, 5214, 315, 2430, 28920, 13, 4388, 13956, 12590, 653, 1632, 448, 264, 3015, 19212, 429, 374, 3347, 323, 25600, 11, 438, 419, 686, 1281, 432, 8661, 369, 1105, 311, 7027, 504, 279, 19212, 13, 362, 19212, 429, 374, 2409, 323, 6884, 374, 10507, 369, 11051, 311, 3460, 12590, 624, 17, 13, 11292, 264, 36824, 3015, 19212, 13, 362, 36824, 3015, 19212, 686, 614, 264, 43822, 5622, 11, 3259, 1105, 2686, 4363, 311, 11552, 916, 13, 1096, 1231, 387, 264, 1661, 9162, 421, 498, 525, 17811, 911, 697, 5562, 71193, 916, 862, 3015, 19212, 476, 7218, 279, 19212, 2163, 323, 978, 9400, 279, 3015, 1393, 807, 7027, 13, 9192, 369, 36824, 3015, 59980, 2860, 476, 518, 697, 2205, 6753, 3553, 13, 3393, 279, 3015, 19212, 1573, 498, 2968, 432, 311, 697, 5562, 311, 990, 13, 21979, 432, 448, 3015, 323, 15239, 476, 1430, 311, 11552, 825, 3108, 315, 279, 19212, 13, 362, 36824, 3015, 19212, 1265, 1281, 432, 15750, 311, 653, 419, 624, 18, 13, 12748, 304, 264, 3015, 56613, 13, 80808, 12590, 323, 12590, 879, 525, 3735, 88, 911, 862, 3015, 1231, 8760, 504, 264, 3015, 56613, 13, 7496, 3015, 282, 92306, 686, 4051, 323, 1395, 2437, 6334, 279, 3015, 773, 432, 374, 7722, 323, 35163, 17923, 311, 697, 5562, 13, 1446, 646, 3695, 3015, 282, 92306, 2860, 476, 518, 697, 2205, 6753, 3553, 4192, 565, 10112, 3612, 349, 697, 5562, 518, 2114, 271, 16, 13, 21979, 697, 5562, 748, 3015, 19212, 7298, 13, 7405, 2704, 498, 2506, 697, 5562, 748, 3015, 19212, 10199, 448, 7722, 3015, 389, 264, 7298, 8037, 13, 21979, 432, 705, 1156, 3166, 304, 279, 6556, 979, 498, 2968, 697, 5562, 862, 17496, 13, 5005, 11, 1779, 862, 3015, 19212, 6814, 279, 1899, 311, 1281, 2704, 432, 374, 2480, 13, 21979, 432, 705, 1549, 518, 13856, 882, 11, 421, 432, 3880, 2053, 9400, 13, 7405, 2704, 498, 25187, 700, 894, 2310, 3015, 504, 279, 3681, 1899, 1573, 498, 5155, 432, 705, 448, 7722, 3015, 13, 1096, 686, 5978, 279, 3015, 35163, 1661, 311, 697, 5562, 323, 374, 1910, 315, 23157, 624, 17, 13, 9590, 862, 3015, 19212, 15502, 13, 425, 77752, 646, 835, 705, 11699, 389, 279, 30130, 315, 279, 3015, 19212, 323, 304, 894, 3015, 2058, 304, 279, 3015, 19212, 13, 2126, 304, 279, 14132, 315, 15826, 697, 5562, 748, 3015, 19212, 389, 264, 7298, 8037, 13, 5443, 26785, 323, 3015, 311, 4057, 894, 1081, 545, 476, 25284, 304, 279, 19212, 476, 389, 279, 30130, 13, 30841, 279, 19212, 1632, 1573, 498, 5155, 432, 705, 448, 7722, 3015, 323, 738, 432, 1495, 369, 697, 14895, 13, 1752, 3110, 11, 498, 1231, 4240, 279, 19212, 1156, 3166, 304, 279, 6556, 1573, 21274, 432, 705, 448, 7722, 3015, 13, 1096, 1616, 11, 432, 686, 4717, 4240, 369, 279, 2732, 315, 279, 1899, 3080, 498, 4240, 432, 1549, 279, 2701, 6556, 624, 18, 13, 10771, 3015, 59980, 369, 697, 5562, 6814, 697, 2114, 13, 1416, 697, 5562, 13151, 311, 74967, 1526, 697, 2114, 11, 1281, 2704, 498, 614, 3015, 8173, 7407, 6814, 279, 3550, 369, 1105, 13, 10224, 3015, 59980, 389, 1817, 6422, 315, 697, 2114, 13, 2573, 705, 3015, 282, 92306, 304, 3807, 18773, 304, 697, 3753, 773, 697, 5562, 2677, 702, 2615, 311, 7722, 3015, 13, 43145, 419, 686, 5978, 697, 5562, 2581, 5221, 409, 25172, 657, 13, 7405, 2704, 498, 4240, 678, 315, 697, 5562, 748, 3015, 8173, 304, 697, 2114, 389, 264, 7298, 8037, 13, 1096, 686, 5978, 807, 653, 537, 633, 18595, 476, 5116, 894, 23157, 624, 19, 13, 13655, 279, 26214, 10723, 1495, 304, 697, 2114, 13, 38068, 697, 5562, 504, 16163, 504, 279, 26214, 19212, 553, 10282, 279, 10723, 1495, 518, 678, 3039, 13, 576, 3015, 304, 697, 26214, 19212, 4363, 5610, 23157, 323, 1008, 77184, 429, 525, 27756, 311, 12590, 13, 55378, 279, 10723, 1495, 686, 1281, 432, 5000, 369, 697, 5562, 311, 2615, 279, 26214, 19212, 3015, 13, 1084, 686, 1083, 14907, 1105, 311, 7027, 279, 7722, 11, 4240, 3015, 504, 862, 3015, 19212, 4518, 13, 1416, 697, 5562, 2167, 31738, 16163, 504, 279, 26214, 11, 2908, 22577, 264, 42024, 19212, 369, 1105, 429, 686, 55359, 279, 943, 315, 1036, 65, 9605, 854, 697, 26214, 374, 624, 20, 13, 15586, 697, 5562, 311, 14401, 3607, 13, 2014, 14907, 697, 5562, 311, 4717, 94731, 11, 2908, 27765, 504, 9058, 5562, 3607, 311, 14401, 5562, 3607, 13, 44856, 5562, 3607, 5610, 803, 3015, 323, 646, 1492, 697, 5562, 4717, 94731, 13, 2691, 3015, 311, 862, 14401, 3607, 518, 264, 220, 16, 25, 16, 11341, 311, 1492, 697, 5562, 7027, 803, 3015, 13, 1446, 646, 1083, 1430, 7086, 697, 5562, 1378, 14401, 3607, 20969, 323, 825, 9058, 3607, 15145, 264, 1899, 13, 44856, 5562, 3607, 646, 387, 803, 11392, 1091, 9058, 3607, 323, 7460, 803, 17975, 882, 11, 773, 419, 1231, 387, 264, 1661, 2999, 421, 498, 3129, 2805, 389, 882, 323, 3220, 13, 1416, 697, 5562, 686, 8180, 678, 315, 862, 9058, 3607, 518, 825, 882, 11, 498, 646, 1430, 7842, 3015, 311, 279, 9058, 3607, 13, 8999, 12590, 686, 24057, 678, 315, 279, 5562, 3607, 438, 1632, 438, 279, 3015, 4192, 565, 10112, 3612, 349, 697, 5562, 389, 279, 728, 271, 16, 13, 39124, 71078, 3015, 389, 22479, 476, 1293, 22466, 13, 38425, 646, 3545, 633, 409, 25172, 657, 979, 807, 525, 700, 369, 264, 1293, 4227, 476, 4303, 2163, 4889, 2337, 264, 1486, 3797, 13, 5724, 1803, 22466, 646, 1083, 1281, 697, 5562, 97108, 11, 5310, 421, 432, 374, 264, 4017, 1899, 13, 13795, 71078, 3015, 476, 3015, 502, 13299, 323, 697, 5562, 748, 3015, 19212, 773, 498, 646, 3410, 7722, 3015, 369, 1105, 389, 279, 728, 13, 4329, 12590, 646, 387, 16176, 311, 7027, 504, 264, 72481, 16486, 13, 9735, 311, 633, 697, 5562, 1483, 311, 16163, 504, 264, 72481, 16486, 773, 498, 646, 4446, 432, 448, 498, 979, 498, 728, 389, 264, 4227, 476, 311, 264, 5562, 6118, 13, 1096, 686, 1281, 432, 8661, 369, 498, 311, 72481, 3015, 1119, 697, 5562, 748, 10780, 421, 807, 1191, 311, 633, 409, 25172, 657, 13, 1446, 646, 1083, 7627, 264, 22819, 11, 42023, 1238, 5562, 19212, 311, 1896, 448, 498, 389, 279, 728, 624, 17, 13, 20678, 697, 5562, 9853, 54104, 438, 31739, 13, 19939, 54104, 525, 3545, 264, 2464, 4228, 369, 12590, 323, 646, 1492, 1105, 4717, 94731, 13, 5443, 9853, 54104, 438, 264, 11313, 979, 697, 5562, 1558, 264, 14068, 476, 11017, 458, 66094, 3210, 13, 13795, 264, 35821, 315, 9853, 54104, 389, 264, 1293, 22466, 323, 2968, 1105, 311, 697, 5562, 47482, 311, 5978, 807, 4717, 94731, 13, 2014, 1281, 279, 9853, 54104, 803, 29068, 4849, 11, 498, 646, 1430, 10687, 264, 5562, 4228, 304, 3015, 304, 279, 9853, 23739, 34688, 323, 29930, 432, 24398, 13, 1096, 1616, 11, 697, 5562, 646, 62199, 279, 3015, 11, 3238, 862, 1616, 311, 279, 4228, 4766, 279, 9853, 23739, 624, 18, 13, 3155, 537, 2506, 697, 5562, 17339, 705, 4889, 13, 9735, 537, 311, 2506, 697, 5562, 66969, 476, 17339, 705, 4889, 11, 5310, 389, 4017, 2849, 13, 38425, 646, 835, 705, 41195, 862, 8781, 476, 78901, 2163, 50779, 476, 12408, 11, 1281, 432, 11997, 369, 1105, 311, 2615, 862, 3015, 59980, 13, 3155, 537, 5274, 697, 5562, 17339, 705, 650, 84906, 369, 43287, 18346, 315, 882, 13, 1416, 498, 653, 1184, 311, 2506, 697, 5562, 12985, 11, 2182, 1105, 304, 862, 17717, 476, 74261, 301, 448, 2615, 311, 264, 3015, 16486, 476, 264, 3015, 19212, 13, 1096, 1616, 11, 807, 686, 2058, 387, 2952, 311, 2615, 7722, 3015, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 2948, 4325, 279, 1616, 566, 374, 30, 151645, 198, 151644, 77091, 198, 33142, 2163, 4325, 3545, 646, 1281, 862, 56690, 2803, 803, 5089, 13, 4354, 11, 1251, 614, 4512, 43808, 429, 525, 537, 4363, 311, 2297, 11, 1496, 421, 2494, 18344, 1047, 498, 13, 3197, 21258, 264, 30980, 11, 8263, 11, 476, 2997, 4462, 11, 432, 374, 2989, 429, 498, 2948, 1435, 279, 1616, 566, 374, 323, 653, 537, 1720, 1435, 311, 2297, 13, 1096, 646, 7025, 387, 5000, 13, 1084, 7460, 9271, 279, 1850, 304, 279, 1697, 498, 2948, 11, 24667, 806, 40759, 11, 323, 61982, 448, 697, 1828, 53582, 30602, 382, 565, 7379, 279, 1850, 304, 1435, 271, 16, 13, 7405, 264, 8709, 323, 1585, 1140, 13, 35825, 882, 311, 1744, 911, 678, 315, 264, 1697, 594, 6785, 28500, 646, 1492, 498, 311, 6099, 1128, 498, 2948, 911, 1105, 13, 2411, 279, 1852, 882, 11, 26305, 1128, 14457, 973, 498, 911, 264, 1697, 646, 1492, 311, 2182, 2513, 1119, 13057, 13, 7405, 264, 1140, 315, 678, 315, 279, 2513, 498, 2948, 911, 419, 1697, 323, 678, 315, 279, 2513, 429, 37192, 498, 911, 1435, 13, 10294, 279, 1140, 323, 2291, 3281, 6529, 311, 279, 8709, 11, 1741, 438, 806, 3093, 6993, 11, 806, 5530, 315, 27385, 11, 476, 279, 11772, 498, 4332, 448, 1435, 13, 4926, 484, 6133, 429, 279, 2513, 429, 37192, 498, 1231, 387, 2513, 429, 646, 2297, 304, 882, 11, 1741, 438, 1660, 264, 77220, 11, 3432, 264, 2588, 882, 47284, 2989, 12713, 11, 476, 75695, 37431, 354, 54686, 624, 17, 13, 9192, 369, 7966, 311, 31141, 1435, 13, 8853, 525, 9016, 16965, 22977, 429, 646, 387, 3884, 504, 1657, 2155, 25941, 13, 32639, 498, 5157, 311, 1401, 369, 304, 264, 1697, 11, 498, 525, 4363, 311, 1477, 13, 34006, 3330, 369, 8225, 24055, 11, 323, 4518, 1401, 369, 1661, 24055, 2878, 1435, 13, 46069, 8833, 1846, 24055, 304, 806, 7709, 320, 437, 304, 697, 1828, 3971, 8, 553, 31141, 287, 1435, 3545, 13, 1752, 3110, 11, 498, 1410, 31141, 806, 11229, 624, 18, 13, 25806, 389, 6785, 15650, 13, 13759, 11, 1380, 498, 2182, 697, 1828, 5244, 374, 16587, 311, 25597, 1246, 498, 2666, 911, 4325, 13, 758, 894, 1697, 11, 1052, 525, 2513, 429, 686, 1281, 498, 2666, 1661, 323, 2513, 429, 686, 1281, 498, 2666, 3873, 13, 1416, 498, 1366, 311, 2948, 1435, 11, 2291, 6529, 311, 279, 2513, 429, 1281, 498, 2666, 1661, 979, 498, 525, 448, 1435, 13, 1752, 3110, 11, 498, 1265, 5244, 389, 1246, 566, 34771, 697, 15650, 4518, 315, 1246, 566, 3171, 944, 2506, 806, 13829, 4240, 624, 19, 13, 7405, 6247, 18923, 13, 5765, 3093, 315, 21258, 5025, 3880, 71278, 13, 1446, 646, 19681, 697, 2948, 369, 1435, 553, 6825, 6247, 18923, 13, 3155, 2513, 429, 2176, 315, 498, 4669, 3730, 323, 8329, 882, 41752, 389, 432, 13, 1416, 498, 614, 264, 2696, 315, 8651, 11772, 11, 1896, 10577, 3730, 2494, 279, 1008, 1035, 1075, 13, 1752, 3110, 11, 421, 498, 2176, 4669, 9508, 11, 498, 1410, 1896, 10577, 18774, 264, 5700, 518, 279, 26705, 476, 369, 264, 2114, 5700, 3729, 4192, 565, 20829, 806, 16772, 24384, 271, 16, 13, 34006, 36528, 3173, 1435, 13, 576, 14002, 315, 31141, 287, 264, 1697, 374, 36528, 3173, 1105, 13, 3197, 498, 1477, 2613, 3565, 911, 264, 1697, 323, 990, 1105, 311, 10378, 697, 1828, 88934, 476, 53582, 30602, 11, 432, 95136, 279, 5025, 13, 1416, 498, 1184, 311, 3061, 311, 1435, 911, 2494, 566, 374, 320, 269, 4436, 944, 8, 3730, 11, 498, 1265, 614, 264, 2797, 11, 19300, 10435, 911, 432, 13, 24647, 1435, 1128, 498, 1720, 1435, 311, 653, 11, 323, 1077, 1435, 653, 432, 13, 1752, 3110, 11, 4518, 315, 36528, 3173, 1435, 369, 537, 3730, 279, 25779, 11, 498, 1410, 1101, 1977, 2494, 1075, 1036, 40, 1410, 2167, 990, 1045, 1492, 448, 279, 25779, 979, 498, 614, 882, 48116, 17, 13, 3085, 6282, 47819, 369, 806, 6168, 13, 7418, 421, 498, 2948, 4325, 11, 498, 1265, 13083, 429, 498, 686, 537, 2677, 7503, 448, 4297, 807, 653, 13, 1416, 2494, 566, 1558, 81354, 498, 11, 498, 646, 3061, 311, 1435, 911, 432, 11, 714, 5648, 13054, 432, 1119, 264, 4586, 2383, 389, 806, 17294, 13, 3216, 80512, 19407, 11, 498, 1490, 1435, 438, 264, 4361, 1697, 323, 537, 1101, 279, 2629, 315, 806, 20643, 13, 1752, 3110, 11, 421, 566, 10667, 82, 311, 653, 279, 25779, 320, 16788, 3498, 498, 30156, 1435, 701, 2506, 304, 3971, 429, 566, 702, 264, 2696, 2087, 389, 11, 2238, 13, 5976, 432, 374, 6624, 311, 1720, 1492, 11, 498, 1265, 537, 11651, 1435, 438, 15678, 476, 304, 24712, 349, 979, 566, 3171, 944, 633, 4297, 2814, 624, 18, 13, 4926, 484, 6133, 429, 498, 2948, 1435, 13, 350, 6293, 1435, 498, 2948, 1435, 374, 2989, 13, 350, 6293, 6133, 429, 498, 2948, 1435, 374, 1101, 438, 2989, 13, 1084, 374, 4135, 311, 633, 32530, 448, 4325, 323, 23643, 678, 315, 862, 56690, 13, 12090, 11, 498, 1265, 23974, 6133, 14971, 429, 498, 2948, 1435, 323, 429, 697, 31986, 448, 1435, 3171, 944, 6979, 1435, 13, 1752, 3110, 11, 421, 566, 28595, 697, 15198, 11, 498, 525, 4658, 2087, 311, 387, 5020, 32530, 13, 12090, 315, 21080, 389, 1246, 24569, 429, 12898, 11, 23974, 6133, 429, 498, 2948, 1435, 279, 1616, 566, 374, 323, 429, 498, 646, 2058, 18383, 697, 15198, 448, 1435, 1496, 421, 498, 1030, 311, 23974, 1435, 624, 19, 13, 34006, 70885, 16665, 13, 576, 883, 498, 2948, 374, 537, 4727, 13, 2938, 374, 1576, 18581, 374, 4727, 13, 17594, 432, 2578, 387, 4135, 369, 498, 311, 12793, 264, 6624, 16415, 1574, 29263, 11, 387, 7853, 429, 1741, 11871, 18521, 320, 333, 3512, 8, 3537, 304, 1931, 2272, 13, 758, 2097, 11, 264, 6247, 5025, 4990, 975, 504, 2176, 11067, 323, 7460, 25489, 16665, 13, 576, 4522, 315, 264, 1036, 12275, 13, 10083, 854, 1101, 8580, 2163, 279, 9131, 369, 498, 686, 4363, 6921, 697, 5025, 916, 882, 624, 20, 13, 2823, 9831, 311, 29385, 13, 68568, 525, 678, 911, 29385, 323, 24177, 13, 17594, 498, 13133, 944, 24729, 369, 1660, 448, 4325, 429, 498, 1513, 944, 2948, 11, 498, 1265, 13083, 429, 498, 686, 614, 311, 2968, 705, 1045, 315, 279, 2513, 389, 697, 52573, 421, 498, 1366, 311, 2948, 4325, 13, 576, 883, 498, 2948, 4436, 944, 4363, 311, 387, 2952, 311, 26553, 697, 1449, 18378, 476, 73471, 11, 714, 566, 646, 2948, 498, 323, 26553, 1045, 315, 1846, 2513, 13, 576, 2732, 11, 498, 686, 614, 311, 4193, 438, 28500, 429, 566, 1558, 537, 15218, 13, 1752, 3110, 11, 279, 883, 498, 2948, 2578, 537, 387, 2952, 311, 15254, 323, 7780, 498, 2948, 11674, 448, 4727, 9649, 13, 758, 419, 1142, 11, 498, 2578, 614, 311, 24729, 369, 1435, 9831, 15254, 448, 498, 323, 19125, 700, 1045, 23425, 68505, 320, 16788, 421, 432, 594, 3873, 23425, 68505, 49555, 565, 24946, 448, 697, 53582, 30602, 271, 16, 13, 15565, 311, 3793, 448, 79722, 13, 2619, 525, 1378, 4494, 315, 79722, 429, 646, 7802, 697, 2948, 369, 1435, 13, 1446, 646, 387, 40590, 315, 806, 2272, 11, 476, 498, 646, 387, 40590, 315, 806, 6529, 13, 20988, 825, 686, 2990, 311, 90872, 323, 2588, 15650, 13, 1416, 498, 525, 8266, 40590, 11, 23643, 3170, 323, 3271, 389, 13, 1527, 3110, 315, 1660, 40590, 315, 806, 2272, 374, 45127, 429, 498, 1030, 438, 1657, 4780, 438, 566, 1558, 13, 1527, 3110, 315, 1660, 40590, 315, 806, 6529, 374, 45127, 429, 566, 1035, 2936, 20704, 700, 448, 806, 4780, 323, 8329, 806, 882, 448, 498, 624, 17, 13, 34598, 389, 61845, 15650, 13, 14133, 29443, 88, 374, 537, 279, 1172, 8266, 429, 646, 633, 304, 279, 1616, 315, 21258, 1435, 13, 1446, 2578, 1083, 2666, 2513, 1075, 50878, 11, 70554, 11, 476, 38232, 13, 1416, 498, 614, 894, 8225, 476, 61845, 15650, 11, 498, 1265, 537, 312, 1873, 1105, 476, 1160, 389, 1105, 13, 12090, 11, 23643, 1128, 3643, 498, 2666, 429, 1616, 13, 9646, 498, 1414, 1128, 374, 90159, 498, 11, 498, 646, 975, 389, 24667, 429, 949, 315, 806, 17294, 13, 1752, 3110, 11, 421, 432, 81354, 498, 429, 374, 2581, 389, 882, 11, 3055, 498, 13083, 419, 498, 646, 1191, 24667, 432, 438, 264, 949, 315, 806, 17294, 4751, 1091, 20102, 432, 438, 264, 6853, 315, 29498, 369, 498, 13, 34006, 4633, 2513, 2238, 15726, 13, 13655, 304, 3971, 429, 1045, 315, 806, 6168, 1231, 387, 52897, 323, 537, 8708, 894, 19117, 49700, 1008, 1091, 1128, 498, 9793, 311, 1105, 624, 18, 13, 5547, 389, 81375, 697, 53582, 30602, 13, 1096, 2578, 1896, 264, 2696, 315, 882, 323, 6588, 13, 2823, 8720, 448, 6133, 11, 323, 14971, 23643, 3170, 498, 2666, 61845, 13, 1084, 2578, 1492, 311, 2506, 264, 46142, 315, 697, 15650, 773, 429, 498, 646, 8718, 1105, 13, 1416, 498, 525, 3432, 264, 2696, 315, 16829, 448, 697, 15650, 11, 498, 646, 8498, 264, 10502, 2820, 6584, 13, 3155, 537, 5274, 279, 46142, 14696, 429, 566, 646, 1349, 432, 13, 81917, 429, 432, 374, 869, 421, 566, 4977, 35118, 13, 1446, 1231, 10702, 311, 2506, 264, 46142, 304, 264, 1034, 389, 697, 6366, 13, 13293, 1616, 311, 975, 1526, 697, 53582, 30602, 374, 311, 387, 1787, 323, 10745, 911, 1105, 13, 3155, 537, 18555, 1105, 389, 279, 883, 498, 2948, 11, 714, 990, 1036, 40, 854, 12239, 1075, 1036, 40, 7025, 2666, 429, 1039, 5025, 2578, 15016, 916, 882, 48116, 197, 9, 1446, 2578, 1496, 2908, 11560, 1045, 315, 697, 53582, 30602, 448, 1435, 421, 498, 525, 10655, 3730, 773, 13, 1096, 646, 1492, 311, 19681, 697, 5025, 13, 472, 6577, 2513, 1231, 1172, 2990, 311, 12264, 304, 279, 3853, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 42018, 59175, 30, 151645, 198, 151644, 77091, 198, 32, 1661, 1616, 311, 9225, 697, 52121, 476, 20739, 3922, 374, 311, 42018, 59175, 13, 362, 9273, 42018, 3363, 429, 220, 17, 476, 803, 59175, 525, 8433, 311, 1817, 1008, 1526, 458, 45408, 14652, 13, 2619, 525, 220, 17, 5510, 311, 42018, 59175, 25, 4564, 458, 45408, 2635, 389, 279, 2086, 9273, 311, 458, 45408, 2635, 389, 279, 1156, 11, 476, 4564, 279, 8031, 2635, 389, 279, 2086, 9273, 311, 458, 45408, 2635, 389, 279, 1156, 382, 565, 13015, 80534, 311, 80534, 320, 10715, 311, 30691, 692, 16, 13, 6982, 349, 892, 59175, 686, 387, 279, 6028, 323, 892, 686, 387, 14246, 13, 4615, 6028, 51504, 374, 279, 9273, 448, 264, 2118, 3633, 311, 279, 7602, 476, 51504, 13, 4615, 14246, 9273, 686, 387, 8433, 311, 279, 7602, 1526, 279, 6028, 9273, 13, 43393, 11, 498, 1265, 990, 279, 1429, 1482, 9273, 438, 697, 6028, 9273, 624, 17, 13, 52809, 697, 14246, 9273, 304, 13, 13015, 458, 10584, 12956, 311, 697, 14246, 9273, 11, 323, 19633, 432, 1119, 458, 19734, 26389, 3143, 264, 6366, 498, 646, 990, 311, 738, 705, 279, 14246, 9273, 624, 18, 13, 13015, 697, 6366, 5961, 311, 697, 14246, 9273, 13, 5443, 458, 45408, 14652, 311, 19633, 1119, 825, 315, 279, 48826, 45408, 20325, 389, 279, 1182, 315, 279, 9273, 323, 311, 458, 45408, 2635, 389, 697, 6366, 13, 7405, 2704, 432, 374, 537, 58229, 1119, 697, 6028, 9273, 624, 19, 13, 9549, 697, 9273, 594, 3482, 5980, 6546, 5022, 13, 13015, 311, 279, 14246, 9273, 594, 6790, 2621, 448, 264, 3482, 6929, 13, 39630, 389, 279, 1281, 315, 697, 9273, 11, 498, 1231, 614, 311, 20876, 311, 264, 3151, 5548, 311, 2615, 697, 9273, 594, 3482, 5980, 6546, 5022, 13, 19960, 697, 9273, 594, 1196, 11376, 476, 13963, 594, 3910, 311, 1477, 700, 1128, 279, 6790, 2621, 369, 697, 9273, 374, 13, 220, 16, 24, 17, 13, 16, 21, 23, 13, 16, 13, 16, 374, 825, 315, 279, 1429, 4185, 9273, 6790, 14230, 13, 1446, 1231, 1184, 311, 1487, 304, 311, 279, 9273, 594, 6546, 5022, 13, 330, 7210, 1, 374, 279, 1429, 4185, 5934, 323, 5144, 3552, 13, 19960, 279, 1196, 594, 11376, 476, 13963, 594, 3910, 311, 3960, 803, 911, 1246, 311, 1487, 304, 311, 697, 9273, 594, 6546, 2150, 624, 20, 13, 10388, 279, 14246, 9273, 594, 6790, 2621, 13, 9192, 369, 419, 2999, 1212, 2205, 6790, 5003, 13, 576, 1376, 1588, 374, 311, 1281, 2704, 429, 697, 14246, 9273, 702, 264, 2155, 1590, 15723, 1091, 279, 6790, 2621, 315, 697, 6028, 9273, 13, 1527, 3110, 6790, 369, 697, 6028, 9273, 374, 220, 16, 24, 17, 13, 16, 21, 23, 13, 16, 13, 16, 13, 2055, 458, 3110, 315, 697, 14246, 9273, 594, 6790, 2621, 1410, 387, 220, 16, 24, 17, 13, 16, 21, 23, 13, 16, 13, 17, 624, 21, 13, 11999, 1007, 279, 14246, 9273, 594, 57587, 8422, 5003, 13, 576, 6546, 5022, 374, 2155, 369, 1817, 9273, 1281, 323, 1614, 13, 1096, 646, 3545, 387, 1730, 1212, 330, 21821, 497, 330, 35457, 11296, 497, 330, 12320, 11296, 497, 76494, 13, 4457, 330, 4340, 311, 22169, 264, 10554, 311, 5443, 57587, 1, 311, 3960, 803, 911, 1246, 311, 24523, 279, 9273, 594, 57587, 5003, 624, 22, 13, 7405, 2704, 697, 14246, 9273, 374, 738, 311, 9273, 10350, 3856, 13, 1096, 374, 3545, 7407, 304, 458, 10847, 5003, 5022, 624, 23, 13, 13015, 279, 14246, 9273, 311, 279, 6028, 9273, 13, 5443, 458, 45408, 14652, 311, 19633, 1119, 894, 825, 315, 279, 48826, 45408, 20325, 389, 279, 6028, 9273, 13, 5005, 52809, 279, 1008, 835, 315, 429, 14652, 1119, 264, 48826, 45408, 2635, 389, 279, 1182, 315, 279, 14246, 9273, 13, 4615, 59175, 525, 1431, 74957, 14255, 4192, 565, 13015, 80534, 311, 7602, 320, 10715, 311, 77753, 692, 16, 13, 52809, 304, 697, 14246, 9273, 13, 5443, 279, 10584, 12956, 429, 3697, 448, 697, 9273, 311, 19633, 432, 1119, 458, 19734, 26389, 3143, 264, 6366, 498, 646, 990, 311, 6505, 697, 14246, 9273, 624, 17, 13, 13015, 697, 6366, 311, 697, 14246, 9273, 13, 5443, 458, 45408, 14652, 311, 4564, 311, 825, 315, 279, 48826, 20325, 389, 697, 14246, 9273, 13, 13015, 279, 1008, 835, 311, 458, 45408, 2635, 389, 697, 6366, 624, 18, 13, 9549, 279, 3482, 5980, 6546, 5022, 13, 11252, 279, 14246, 9273, 594, 6790, 2621, 1119, 264, 3482, 6929, 311, 2615, 279, 9273, 594, 6790, 2621, 13, 220, 16, 24, 17, 13, 16, 21, 23, 13, 16, 13, 16, 374, 825, 315, 279, 1429, 4185, 9273, 6790, 14230, 13, 1416, 429, 1558, 537, 975, 11, 8498, 279, 1196, 594, 11376, 476, 13963, 594, 3910, 311, 3960, 1246, 311, 1487, 304, 311, 279, 59175, 6546, 2150, 13, 1446, 1231, 1184, 311, 1487, 304, 311, 279, 9273, 594, 6546, 5022, 13, 330, 7210, 1, 374, 279, 1429, 4185, 5934, 323, 5144, 3552, 13, 19960, 279, 1196, 594, 11376, 476, 13963, 594, 3910, 311, 3960, 803, 911, 1246, 311, 1487, 304, 311, 697, 9273, 594, 6546, 2150, 624, 19, 13, 10388, 279, 2205, 6790, 2621, 13, 576, 2086, 4686, 60515, 15723, 315, 697, 2205, 6790, 2621, 1265, 387, 2155, 504, 697, 6028, 9273, 13, 1416, 697, 6028, 6790, 2621, 374, 220, 16, 24, 17, 13, 16, 21, 23, 13, 15, 13, 16, 1221, 697, 14246, 9273, 594, 6790, 2621, 1265, 387, 2494, 1075, 220, 16, 24, 17, 13, 16, 21, 23, 13, 17, 13, 16, 624, 20, 13, 10255, 697, 6790, 2621, 4344, 13, 69090, 697, 14246, 9273, 504, 697, 6366, 624, 21, 13, 13015, 697, 6028, 9273, 311, 498, 14246, 9273, 13, 5443, 458, 45408, 14652, 311, 4564, 311, 825, 315, 279, 48826, 20325, 389, 697, 6028, 9273, 13, 5005, 19633, 279, 1008, 835, 315, 279, 14652, 1119, 279, 8031, 2635, 315, 697, 14246, 9273, 13, 4615, 59175, 525, 1431, 74957, 14255, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 1401, 705, 264, 60201, 32387, 30, 151645, 198, 151644, 77091, 198, 15919, 12641, 279, 16947, 304, 264, 8045, 315, 37597, 13, 1416, 498, 1366, 311, 387, 2952, 311, 1401, 1846, 17194, 705, 11, 498, 4700, 1184, 311, 3535, 279, 1616, 279, 16947, 374, 16645, 13, 1084, 748, 1083, 3204, 311, 1401, 705, 17194, 2041, 14063, 862, 3728, 13, 28424, 14063, 264, 5625, 315, 4244, 504, 264, 32387, 646, 387, 3322, 311, 1492, 498, 24523, 432, 421, 498, 1414, 1246, 382, 565, 9192, 705, 264, 32387, 553, 1372, 271, 16, 13, 64547, 279, 2311, 315, 279, 32387, 13, 3197, 16947, 49299, 525, 10007, 11, 279, 1156, 3166, 498, 4700, 1490, 374, 279, 829, 315, 264, 2311, 13, 5443, 279, 1965, 315, 8794, 304, 697, 16947, 311, 24523, 429, 2311, 2878, 432, 13, 576, 1965, 315, 8794, 374, 518, 279, 7167, 315, 279, 16947, 13, 95210, 279, 829, 304, 279, 1965, 315, 8794, 323, 2484, 311, 279, 2150, 5815, 448, 279, 1191, 315, 279, 2311, 13, 576, 829, 315, 279, 2311, 2578, 387, 94775, 476, 67818, 700, 6587, 13, 4329, 6467, 2924, 510, 197, 9, 87842, 320, 840, 340, 197, 9, 40788, 320, 9967, 340, 197, 9, 34713, 320, 4651, 340, 17, 13, 64547, 279, 12453, 13, 4636, 279, 2311, 829, 11, 498, 4700, 1490, 1378, 5109, 13, 576, 1156, 1372, 374, 279, 12453, 13, 1752, 3110, 11, 304, 1036, 13079, 220, 18, 25, 16, 21, 9336, 1036, 18, 854, 374, 279, 12453, 1372, 13, 9192, 518, 279, 32387, 323, 8253, 892, 12453, 432, 374, 504, 304, 279, 2311, 13, 4329, 1251, 1231, 38296, 16947, 32387, 1667, 39515, 17144, 323, 12751, 7857, 1127, 13, 1752, 3110, 11, 27022, 13, 20908, 25, 16, 18, 374, 279, 1852, 438, 27022, 47986, 355, 11, 12453, 220, 17, 15, 11, 32387, 220, 16, 18, 13, 95210, 429, 12453, 2878, 279, 2311, 13, 1446, 1231, 387, 2952, 311, 1477, 279, 3728, 315, 429, 12453, 304, 279, 1965, 315, 8794, 13, 1416, 537, 11, 498, 646, 24050, 1526, 279, 3151, 2311, 3080, 498, 1490, 429, 12453, 13, 1634, 448, 1008, 6467, 11, 432, 1265, 9355, 1977, 11, 1036, 25020, 1124, 56014, 62, 854, 518, 279, 7167, 315, 1817, 12453, 13, 758, 5256, 11, 1657, 10795, 9355, 1977, 11, 220, 549, 518, 279, 1909, 315, 1817, 2150, 18860, 279, 1156, 32387, 389, 429, 2150, 13, 4329, 1083, 5185, 279, 1537, 32387, 389, 279, 2150, 624, 18, 13, 64547, 279, 32387, 1372, 13, 576, 2086, 1372, 1283, 279, 2311, 829, 374, 279, 32387, 1372, 13, 1096, 1372, 1265, 2525, 1283, 264, 14889, 29254, 568, 758, 279, 1142, 315, 3757, 220, 18, 25, 16, 21, 11, 220, 16, 21, 1035, 387, 279, 32387, 1372, 13, 1416, 498, 2299, 3330, 705, 264, 5021, 21085, 11, 1052, 1231, 387, 1378, 5109, 11, 18663, 553, 264, 6275, 14769, 10293, 568, 1752, 3110, 11, 304, 3757, 220, 18, 25, 16, 21, 12, 16, 23, 11, 498, 2299, 3330, 369, 49299, 220, 16, 21, 11, 16, 22, 11, 323, 220, 16, 23, 624, 19, 13, 95210, 279, 32387, 2878, 279, 12453, 13, 9646, 498, 3982, 1730, 279, 12453, 11, 728, 1526, 432, 3080, 498, 1477, 279, 32387, 13, 576, 49299, 728, 304, 34776, 1973, 11, 1101, 1075, 29632, 13, 2619, 1265, 387, 264, 2613, 1372, 518, 279, 7167, 315, 1817, 11652, 476, 264, 2613, 1874, 315, 22870, 13, 1096, 374, 279, 32387, 1372, 13, 1416, 498, 2299, 3330, 369, 5248, 49299, 11, 1741, 438, 3757, 220, 18, 25, 16, 21, 12, 16, 23, 11, 220, 16, 22, 323, 220, 16, 23, 1035, 1795, 5961, 1283, 220, 16, 21, 4192, 565, 9192, 705, 264, 32387, 448, 264, 3529, 539, 681, 271, 16, 13, 22201, 264, 3529, 539, 681, 13, 362, 3529, 539, 681, 374, 264, 2311, 429, 11469, 1449, 2867, 315, 264, 3409, 748, 11094, 304, 279, 16947, 13, 1096, 374, 264, 2244, 5392, 421, 498, 6099, 279, 32387, 11, 476, 949, 315, 279, 32387, 11, 714, 498, 1513, 1405, 1414, 892, 2311, 476, 12453, 432, 3697, 504, 13, 63093, 3020, 646, 387, 1730, 1526, 10381, 29182, 476, 2860, 13, 4615, 8817, 1231, 1083, 614, 825, 429, 498, 646, 17193, 624, 17, 13, 7542, 369, 264, 3409, 504, 279, 32387, 13, 19881, 458, 2989, 3409, 504, 279, 32387, 13, 9192, 432, 705, 304, 279, 3529, 539, 681, 279, 1852, 1616, 429, 498, 1035, 1401, 432, 705, 304, 264, 10997, 13, 63093, 3020, 525, 27790, 1506, 13, 22201, 264, 34847, 3409, 429, 1231, 614, 7199, 56015, 11, 1741, 438, 1036, 69, 4556, 2419, 1036, 16557, 466, 2419, 476, 1036, 59430, 550, 1987, 1416, 498, 5157, 2494, 1075, 1036, 30053, 854, 476, 1036, 58867, 854, 498, 3129, 4363, 311, 1477, 458, 22399, 1372, 315, 3059, 624, 18, 13, 7542, 369, 1008, 4244, 421, 5871, 13, 1416, 498, 1477, 2238, 1657, 3059, 11, 476, 498, 1513, 1405, 1490, 279, 32387, 498, 3129, 3330, 369, 11, 1430, 15039, 369, 2441, 3409, 13, 1752, 3110, 11, 421, 498, 6099, 279, 17133, 11, 1036, 30053, 1969, 387, 48324, 854, 323, 498, 26502, 1036, 30053, 854, 714, 1730, 2238, 1657, 3059, 11, 1430, 3330, 705, 11, 1036, 82, 2840, 485, 48116, 19, 13, 95210, 279, 32387, 504, 279, 3529, 539, 681, 1140, 13, 576, 3529, 539, 681, 686, 1140, 678, 315, 279, 7482, 1380, 429, 3409, 374, 1730, 304, 279, 16947, 13, 362, 4583, 3529, 539, 681, 686, 2968, 498, 1045, 2266, 773, 429, 498, 646, 387, 2704, 432, 748, 279, 32387, 498, 3129, 3330, 369, 13, 5443, 279, 3728, 429, 279, 3529, 539, 681, 6696, 498, 320, 1958, 3110, 11, 48717, 220, 16, 17, 25, 24, 8, 311, 1401, 705, 279, 4583, 32387, 323, 1181, 2266, 304, 697, 60201, 624, 20, 13, 9735, 2441, 14468, 421, 5871, 13, 63093, 3020, 525, 3151, 311, 36693, 13, 1416, 498, 646, 1405, 1477, 279, 32387, 498, 3129, 3330, 369, 11, 1430, 264, 3529, 539, 681, 369, 264, 2155, 14468, 13, 1752, 3110, 11, 421, 697, 16947, 24531, 264, 3409, 311, 279, 6364, 3409, 1036, 649, 4016, 1335, 714, 697, 3529, 539, 681, 374, 369, 264, 16947, 429, 24531, 429, 3409, 438, 1036, 49710, 5270, 2419, 432, 686, 387, 11997, 311, 1401, 705, 279, 32387, 4192, 565, 9192, 705, 264, 32387, 2860, 271, 16, 13, 7542, 279, 32387, 1372, 2860, 13, 22201, 264, 2711, 4712, 11, 476, 728, 311, 264, 3910, 12235, 311, 16947, 3920, 13, 3990, 279, 829, 315, 279, 2311, 323, 279, 12453, 323, 32387, 5109, 1119, 279, 2711, 4712, 13, 3990, 279, 32387, 1372, 304, 279, 8789, 11666, 3561, 421, 498, 646, 13, 1752, 3110, 11, 498, 3278, 633, 803, 13382, 3059, 421, 498, 943, 11, 330, 13079, 220, 18, 25, 16, 21, 1335, 1091, 11, 330, 25020, 220, 18, 220, 16, 21, 3757, 10040, 17, 13, 19881, 1128, 498, 646, 911, 279, 32387, 13, 3155, 498, 6099, 264, 3654, 17133, 315, 279, 32387, 30, 10696, 498, 6099, 825, 476, 1378, 4244, 323, 279, 829, 315, 279, 2311, 432, 3697, 504, 13, 7418, 421, 498, 646, 1405, 6099, 1602, 1753, 11, 498, 646, 4363, 2058, 1401, 705, 279, 32387, 624, 18, 13, 11252, 1128, 498, 1414, 1119, 264, 2711, 4712, 13, 3990, 304, 4297, 498, 646, 6099, 13, 1446, 1265, 1083, 2924, 279, 4244, 1036, 33, 1238, 854, 323, 1036, 4450, 854, 311, 1281, 2704, 429, 498, 633, 3059, 429, 525, 9760, 311, 697, 2711, 13, 4615, 2711, 3793, 1231, 387, 2494, 1075, 11, 1036, 33, 1238, 32387, 911, 38620, 304, 11802, 278, 1011, 2419, 476, 1036, 33, 1238, 32387, 12453, 220, 22, 23603, 48116, 19, 13, 5443, 264, 2747, 6188, 369, 16947, 26475, 13, 2619, 525, 11260, 315, 6594, 2860, 429, 16403, 16947, 49299, 553, 3832, 476, 553, 2311, 13, 1446, 646, 990, 825, 315, 1493, 13037, 311, 2711, 369, 279, 32387, 13, 3990, 304, 264, 16174, 476, 264, 3832, 13, 1446, 1231, 1083, 387, 2952, 311, 653, 458, 10847, 2711, 553, 2311, 476, 12453, 13, 4220, 2860, 7375, 646, 387, 2244, 5510, 311, 1477, 1008, 49299, 429, 1231, 387, 9760, 311, 498, 476, 10950, 304, 697, 7822, 476, 33196, 624, 20, 13, 7542, 5435, 4244, 13, 1416, 498, 646, 1405, 6099, 894, 4734, 4244, 504, 279, 32387, 11, 476, 697, 2711, 374, 537, 2087, 1632, 11, 2711, 5435, 4244, 13, 1752, 3110, 11, 421, 498, 26502, 369, 1036, 36638, 854, 323, 3207, 1405, 1477, 4113, 11, 498, 1410, 2711, 369, 1036, 9287, 854, 476, 1036, 26684, 854, 476, 1036, 383, 402, 724, 854, 311, 1490, 421, 279, 32387, 4933, 705, 13, 1084, 748, 3204, 498, 3129, 1667, 264, 2155, 14468, 476, 429, 498, 5786, 29280, 291, 3565, 911, 279, 32387, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 11555, 77785, 36724, 30, 151645, 198, 151644, 77091, 198, 47, 10011, 36724, 525, 2244, 1576, 498, 646, 9850, 1105, 4558, 12379, 13, 2014, 2506, 697, 77785, 36724, 3330, 1661, 11, 1281, 2704, 311, 11555, 1105, 12440, 13, 5145, 553, 24047, 1105, 389, 264, 7474, 11, 10063, 7329, 13, 60473, 304, 279, 11067, 323, 42375, 1573, 12678, 279, 5622, 26396, 1290, 3685, 279, 36104, 13, 9129, 697, 1471, 436, 553, 20097, 1105, 1119, 10296, 48607, 476, 74072, 1105, 389, 1909, 315, 825, 2441, 304, 264, 97078, 12577, 6243, 382, 565, 60473, 697, 77785, 304, 279, 8606, 1616, 271, 16, 13, 43924, 279, 15478, 389, 264, 10063, 7329, 13, 7379, 264, 10063, 11, 10876, 7329, 11, 1075, 264, 34089, 1965, 13, 12380, 279, 15478, 389, 279, 6149, 315, 279, 7329, 448, 279, 3137, 24067, 320, 6951, 8, 12880, 1495, 13, 60105, 700, 279, 42375, 311, 1817, 3108, 13, 7405, 2704, 429, 279, 12822, 315, 279, 15478, 653, 537, 4399, 1007, 279, 11067, 315, 279, 7329, 13, 48156, 3137, 705, 279, 15478, 504, 1909, 311, 5622, 13, 6601, 705, 279, 89469, 438, 1632, 624, 17, 13, 60473, 279, 42375, 1182, 13, 36194, 1817, 36153, 323, 11555, 432, 311, 279, 6149, 315, 279, 1182, 315, 279, 15478, 320, 1782, 3137, 12577, 3108, 429, 374, 5023, 12880, 43954, 568, 9735, 311, 2506, 279, 1817, 36153, 16202, 13, 1096, 686, 1281, 279, 89469, 27248, 304, 279, 6149, 4126, 315, 279, 15478, 13, 1634, 498, 7500, 279, 42375, 11, 387, 16585, 537, 311, 6815, 279, 3108, 73688, 315, 279, 15478, 6974, 279, 1182, 13, 1446, 525, 1101, 44742, 279, 42375, 304, 518, 419, 1459, 11, 537, 279, 6200, 315, 279, 15478, 13, 1416, 498, 614, 264, 2805, 1331, 8501, 2066, 77785, 11, 498, 686, 2058, 11555, 279, 42375, 8841, 279, 6149, 315, 279, 1182, 315, 279, 15478, 13, 4354, 11, 279, 42375, 686, 537, 27248, 304, 279, 6149, 624, 18, 13, 50725, 279, 15478, 700, 448, 697, 6078, 13, 576, 1376, 311, 44742, 894, 15478, 11, 2670, 77785, 1707, 11, 374, 311, 1598, 697, 6078, 916, 279, 13055, 1283, 1449, 11555, 13, 1096, 8609, 311, 10876, 700, 279, 73107, 323, 311, 5978, 10296, 11, 9767, 60507, 13, 1416, 498, 2525, 5193, 264, 8811, 3112, 35144, 304, 279, 13055, 11, 1281, 8922, 32974, 3080, 432, 60270, 624, 19, 13, 60473, 304, 279, 11067, 315, 279, 15478, 13, 3085, 279, 4065, 315, 279, 15478, 2058, 12880, 1495, 11, 29273, 33377, 825, 3108, 315, 279, 15478, 448, 2176, 6078, 13, 60473, 419, 3108, 304, 4014, 3080, 432, 28627, 279, 6149, 315, 279, 15478, 748, 1182, 13, 3155, 279, 1852, 3166, 448, 279, 1008, 3108, 13, 1416, 498, 653, 419, 12440, 11, 498, 1265, 1490, 264, 1036, 53, 854, 518, 279, 1909, 1182, 315, 279, 15478, 1290, 3685, 279, 36104, 13, 1416, 498, 614, 264, 2805, 1331, 8501, 2066, 77785, 11, 419, 11555, 686, 1492, 311, 2506, 697, 42375, 304, 1992, 7218, 4637, 13, 7405, 2704, 311, 3331, 697, 42375, 304, 1992, 438, 498, 4583, 419, 3019, 476, 807, 1231, 3271, 2163, 438, 498, 11893, 279, 11067, 311, 11555, 304, 4014, 624, 20, 13, 60473, 279, 15478, 304, 4279, 13, 13655, 279, 3137, 24067, 315, 279, 15478, 12880, 1495, 13, 2825, 13367, 279, 5622, 6821, 315, 279, 77785, 15478, 13, 60473, 279, 6821, 43954, 3080, 279, 15478, 374, 15791, 518, 4279, 315, 279, 2480, 3084, 13, 3197, 498, 525, 8060, 498, 1366, 279, 5622, 6821, 315, 279, 15478, 311, 2732, 1290, 518, 279, 4722, 6821, 315, 279, 36104, 624, 21, 13, 3155, 458, 4960, 11555, 11649, 389, 279, 15478, 748, 3084, 13, 1416, 697, 15478, 374, 4960, 3460, 476, 4960, 1293, 11, 1221, 264, 3175, 5622, 11555, 1231, 537, 387, 3322, 13, 1446, 1231, 1184, 311, 21749, 279, 3084, 315, 279, 15478, 1119, 93137, 476, 11737, 82, 11, 7842, 304, 220, 16, 476, 220, 17, 5107, 60507, 624, 22, 13, 40284, 323, 3553, 13, 36194, 697, 47035, 15478, 323, 18287, 432, 916, 13, 576, 36104, 1265, 1431, 3579, 43954, 13, 1096, 374, 264, 2244, 1616, 311, 3553, 697, 77785, 36724, 11, 438, 432, 13598, 279, 4530, 1561, 323, 42375, 41854, 13, 1084, 748, 1496, 6092, 311, 5611, 5248, 36724, 389, 1909, 315, 825, 2441, 369, 5819, 11, 438, 279, 7262, 686, 2506, 894, 73107, 518, 22708, 4192, 565, 14686, 697, 77785, 15478, 271, 16, 13, 10255, 3550, 553, 20097, 13, 1416, 498, 614, 264, 2613, 31944, 476, 1101, 264, 3175, 26482, 311, 990, 11, 1221, 20097, 374, 1661, 2999, 13, 8999, 1251, 1083, 10702, 311, 6502, 678, 315, 862, 15097, 979, 35713, 7781, 23910, 11, 438, 432, 3643, 432, 4135, 311, 3293, 47274, 6157, 13, 576, 51397, 315, 20097, 374, 429, 432, 646, 5274, 77785, 36724, 264, 2699, 57270, 832, 13, 9177, 419, 3491, 553, 7086, 6133, 1045, 882, 311, 20312, 264, 15478, 1283, 650, 16210, 432, 624, 17, 13, 60473, 279, 15478, 304, 504, 279, 5622, 13, 43924, 697, 77785, 15478, 389, 264, 10063, 7329, 448, 279, 12424, 12880, 705, 13, 2825, 13367, 279, 5622, 6821, 315, 279, 15478, 323, 11555, 432, 43954, 911, 220, 19, 14924, 320, 16, 15, 9961, 568, 1096, 686, 73381, 279, 2790, 3084, 315, 279, 15478, 323, 1492, 498, 311, 1855, 264, 62962, 6502, 624, 18, 13, 60473, 304, 279, 11067, 13, 36194, 825, 3108, 315, 697, 77785, 15478, 11, 1992, 279, 36153, 12880, 50946, 11, 323, 11555, 279, 13055, 61918, 8841, 279, 4126, 13, 3155, 279, 1852, 3166, 448, 279, 1008, 3108, 315, 279, 15478, 13, 1096, 3363, 429, 279, 15955, 12822, 315, 697, 15478, 686, 1431, 3367, 304, 279, 4126, 448, 49817, 42375, 624, 19, 13, 5145, 20097, 504, 279, 36104, 13, 36194, 279, 36104, 304, 2176, 315, 697, 6078, 323, 3161, 20097, 91270, 13, 9735, 311, 2506, 697, 6078, 7474, 389, 279, 13055, 11, 773, 429, 279, 1590, 6502, 374, 10296, 323, 9767, 13, 3197, 498, 5545, 279, 5622, 315, 279, 15478, 11, 3493, 33404, 2348, 279, 11067, 315, 279, 6502, 13, 576, 1590, 6502, 1265, 387, 2163, 220, 21, 14924, 320, 16, 20, 9961, 8, 304, 2374, 4192, 565, 9590, 697, 77785, 15478, 1573, 3553, 271, 16, 13, 5985, 279, 15478, 4092, 311, 279, 11221, 13, 95210, 279, 4772, 389, 697, 77785, 13, 1084, 686, 4658, 387, 518, 279, 36104, 476, 389, 279, 9179, 3108, 7806, 309, 13, 4457, 1246, 311, 11369, 697, 77785, 323, 1795, 1493, 17961, 6896, 13, 1752, 220, 16, 15, 15, 4, 23522, 1471, 436, 11, 419, 686, 5990, 3076, 27686, 1105, 389, 264, 8205, 3015, 6243, 13, 1752, 9519, 13055, 57843, 11, 432, 374, 5990, 29449, 311, 728, 448, 264, 9255, 3015, 6243, 13, 1084, 748, 1083, 16910, 311, 1424, 11369, 1429, 1471, 436, 11, 438, 1293, 438, 498, 9214, 448, 279, 1852, 11827, 3015, 9315, 624, 17, 13, 30841, 279, 15478, 13, 1446, 2167, 1366, 311, 5648, 62085, 697, 1471, 436, 11, 773, 1281, 2704, 429, 498, 1795, 279, 45379, 11221, 438, 1632, 13, 1416, 498, 5662, 9058, 697, 1471, 436, 11, 990, 279, 15457, 8628, 6243, 13, 1084, 748, 2664, 11, 3498, 11, 311, 14678, 697, 77785, 36724, 705, 389, 264, 45379, 29659, 3080, 807, 525, 7225, 9058, 13, 1096, 686, 2506, 697, 36724, 3330, 279, 1850, 369, 279, 22032, 4168, 315, 882, 13, 2823, 7853, 429, 45379, 697, 1471, 436, 389, 264, 29659, 2578, 1281, 1105, 1401, 803, 57270, 398, 13, 4354, 11, 419, 646, 387, 6157, 8356, 448, 264, 4778, 315, 4087, 6469, 476, 11001, 287, 624, 18, 13, 10783, 894, 73107, 448, 4087, 6469, 476, 11001, 287, 13, 2126, 700, 697, 11001, 287, 4479, 323, 738, 697, 11001, 311, 264, 11051, 476, 3347, 8628, 6243, 13, 5994, 916, 697, 77785, 448, 279, 11001, 11, 10282, 432, 7218, 311, 5358, 19675, 279, 13055, 13, 9192, 518, 279, 4772, 369, 894, 5107, 11221, 13, 4329, 1471, 436, 1184, 311, 387, 6519, 4766, 700, 1573, 11001, 287, 13, 1446, 646, 1083, 14678, 705, 697, 77785, 323, 990, 264, 20312, 5662, 311, 975, 700, 894, 73107, 13, 9970, 279, 4087, 15232, 28710, 3265, 311, 11, 714, 537, 30587, 11, 279, 13055, 3080, 432, 10876, 82, 700, 13, 72771, 36724, 614, 264, 30854, 311, 633, 7945, 57270, 398, 2163, 279, 36104, 11, 773, 2291, 5107, 6529, 311, 419, 3082, 13, 7281, 11, 1281, 2704, 311, 312, 4208, 894, 36104, 26558, 1283, 498, 525, 8060, 4087, 6469, 476, 11001, 287, 697, 15478, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 4538, 323, 5648, 279, 35964, 315, 12418, 9881, 26563, 388, 30, 151645, 198, 151644, 77091, 198, 8420, 374, 1246, 311, 4538, 323, 1083, 5648, 279, 35964, 315, 12418, 9881, 26563, 388, 382, 565, 2585, 311, 4538, 279, 35964, 315, 12418, 9881, 26563, 388, 271, 16, 13, 9192, 705, 389, 825, 476, 803, 315, 279, 5257, 2711, 21106, 624, 17, 13, 14187, 323, 4538, 86633, 13, 8909, 11, 1036, 2679, 498, 38480, 3220, 311, 825, 315, 847, 1251, 4221, 498, 879, 374, 82463, 11, 653, 537, 387, 1075, 264, 3220, 75, 1659, 26, 6757, 1435, 902, 2734, 854, 320, 840, 49477, 220, 17, 17, 25, 17, 20, 26, 1490, 1083, 81876, 220, 16, 20, 25, 20, 8, 323, 1083, 1581, 27951, 16974, 220, 17, 18, 25, 16, 24, 12, 17, 15, 83011, 608, 11, 1036, 2610, 4880, 537, 6757, 2734, 389, 16606, 311, 697, 10641, 11, 2734, 389, 3220, 11, 2734, 389, 3607, 11, 2734, 389, 4113, 429, 374, 47807, 369, 2734, 13, 1446, 1231, 6757, 264, 7214, 261, 2734, 11, 714, 498, 1231, 537, 6757, 697, 10641, 2734, 11, 429, 279, 10214, 697, 4264, 1231, 16072, 498, 304, 678, 429, 498, 48543, 304, 279, 4268, 429, 498, 525, 16262, 311, 1896, 18721, 315, 432, 323, 1083, 27022, 47986, 355, 220, 17, 20, 25, 18, 20, 12, 18, 22, 83011, 2587, 1036, 2679, 697, 10641, 9044, 7852, 323, 4157, 10306, 5561, 448, 498, 11, 498, 4880, 1824, 1435, 438, 3498, 566, 1033, 264, 33958, 323, 264, 773, 29262, 1194, 11, 323, 566, 4880, 3887, 448, 498, 13, 11778, 902, 2734, 504, 1435, 476, 11372, 11, 714, 8679, 697, 4264, 11, 429, 697, 10641, 1231, 3887, 29388, 498, 13, 1446, 4880, 537, 38480, 1435, 697, 3220, 518, 2734, 11, 6329, 2968, 1435, 697, 3607, 369, 11372, 323, 1657, 1008, 86633, 1741, 438, 18939, 220, 22, 25, 16, 20, 12, 16, 23, 323, 1083, 220, 16, 267, 44468, 220, 21, 25, 220, 16, 15, 624, 18, 13, 69277, 1251, 279, 18993, 11929, 323, 1083, 1246, 311, 13767, 1075, 26858, 1841, 671, 16, 549, 1416, 566, 2727, 311, 2968, 705, 23221, 1576, 4264, 594, 2087, 311, 26563, 498, 11, 9319, 4183, 1212, 894, 13161, 1795, 1128, 566, 374, 11629, 498, 1576, 419, 374, 264, 36854, 3567, 60926, 5991, 11552, 1007, 429, 419, 6306, 383, 13111, 61, 374, 12418, 3503, 590, 1075, 369, 3110, 421, 34256, 40, 10689, 10717, 504, 13370, 374, 8900, 264, 11877, 553, 6306, 35, 812, 8141, 7337, 61, 879, 1401, 11657, 714, 1260, 320, 44, 11188, 1715, 994, 44, 5197, 292, 504, 13370, 8, 6738, 48168, 8141, 323, 2727, 1075, 6306, 13048, 11, 847, 829, 374, 320, 606, 8, 323, 358, 1079, 518, 320, 2870, 34256, 1715, 994, 44, 5197, 292, 374, 518, 8, 323, 419, 374, 264, 48168, 8141, 7310, 594, 5723, 11968, 1372, 320, 13266, 11968, 1372, 374, 3229, 8, 525, 1493, 7337, 2167, 48168, 8141, 7337, 30, 61, 437, 279, 48168, 8141, 6002, 2473, 2727, 6306, 2152, 304, 2097, 1052, 374, 902, 13537, 48168, 8141, 2473, 369, 320, 4995, 29776, 1958, 3110, 11, 419, 374, 362, 36854, 3567, 60926, 5991, 11552, 1007, 429, 1493, 6306, 35, 812, 8141, 7337, 61, 525, 13962, 653, 388, 879, 614, 33234, 389, 1156, 14068, 287, 1435, 1221, 3709, 1435, 311, 264, 88015, 3728, 1221, 89155, 323, 47289, 323, 5008, 3204, 79927, 1435, 773, 566, 1265, 537, 3512, 728, 304, 1493, 6306, 35, 812, 8141, 7337, 61, 6306, 35, 812, 8141, 61, 7310, 808, 373, 3166, 421, 264, 1013, 3449, 17281, 380, 2727, 1075, 6306, 46430, 705, 23221, 61, 369, 3110, 11, 419, 374, 7548, 11816, 323, 11406, 311, 1795, 323, 498, 1265, 4183, 1795, 806, 6306, 71, 5730, 61, 9462, 13, 369, 3110, 624, 19, 13, 2126, 323, 1281, 1736, 7411, 11, 13370, 6803, 11, 4992, 13, 9958, 1251, 315, 279, 35964, 315, 12418, 9881, 26563, 388, 4192, 565, 2585, 311, 5648, 279, 35964, 315, 12418, 9881, 26563, 388, 271, 16, 13, 20437, 6133, 2989, 4755, 1075, 3555, 374, 566, 5488, 937, 2160, 566, 11629, 752, 1128, 358, 1969, 3520, 653, 369, 3110, 421, 358, 1079, 1660, 77813, 518, 264, 12000, 97091, 2618, 429, 358, 1265, 1895, 279, 46653, 311, 4282, 369, 3110, 30, 369, 3110, 624, 17, 13, 21806, 279, 2989, 4755, 320, 258, 697, 3971, 315, 3308, 8, 1075, 1260, 374, 5488, 323, 59627, 429, 4264, 686, 6016, 752, 504, 419, 3076, 60333, 358, 614, 518, 847, 12000, 97091, 2618, 659, 1988, 3783, 1496, 279, 3483, 8669, 4411, 304, 4264, 323, 18162, 891, 7801, 220, 17, 25, 220, 16, 24, 22416, 7412, 374, 537, 11629, 752, 6259, 1075, 1895, 279, 3076, 60333, 311, 279, 4282, 11, 4518, 419, 6306, 383, 13111, 61, 374, 11629, 752, 311, 1101, 6950, 304, 4264, 46387, 358, 2664, 537, 1795, 1128, 419, 6306, 383, 13111, 61, 2727, 13, 369, 3110, 624, 18, 13, 3218, 389, 279, 11253, 311, 697, 2989, 4755, 1075, 2087, 311, 279, 4282, 311, 1895, 264, 3076, 60333, 78226, 498, 518, 697, 12000, 97091, 2618, 369, 3110, 323, 3291, 6133, 2987, 304, 697, 3971, 476, 84107, 476, 2176, 1075, 6306, 18536, 323, 26725, 9462, 61, 429, 358, 1265, 1101, 6950, 304, 4264, 11, 1576, 1496, 279, 43975, 4411, 304, 4264, 323, 18162, 891, 7801, 220, 17, 25, 220, 16, 24, 11, 773, 358, 1969, 2581, 1101, 6950, 4264, 11, 358, 1969, 653, 6168, 438, 1632, 311, 633, 1128, 358, 1184, 2814, 633, 2814, 13, 369, 3110, 624, 19, 13, 11778, 74399, 315, 13037, 11, 3800, 4992, 13, 9958, 911, 12418, 9881, 26563, 388, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 3581, 8189, 41195, 5567, 30, 151645, 198, 151644, 77091, 198, 1654, 3003, 678, 3884, 34282, 3684, 369, 3432, 330, 13250, 1, 320, 23294, 745, 5112, 8, 4357, 11, 11110, 287, 5567, 11, 323, 13997, 12408, 13, 220, 758, 419, 4549, 582, 3278, 1490, 3807, 26450, 311, 825, 882, 10431, 315, 27373, 315, 41195, 5567, 369, 20609, 382, 565, 1032, 810, 15061, 5567, 271, 16, 13, 42187, 279, 8189, 304, 1741, 264, 1616, 438, 311, 11926, 25978, 25, 3197, 26301, 41195, 5567, 11, 3293, 5567, 892, 374, 26128, 13, 3197, 41195, 20609, 11, 990, 279, 3093, 315, 16971, 892, 646, 387, 6963, 6707, 2041, 33346, 279, 5567, 13, 5443, 17377, 16971, 624, 17, 13, 1230, 10097, 279, 8189, 369, 25978, 11, 2238, 13, 3197, 279, 5831, 460, 68, 15025, 81, 2625, 1817, 8189, 11, 614, 1105, 653, 773, 15516, 13, 12243, 1105, 1430, 311, 5648, 33346, 279, 5567, 13, 9646, 5567, 374, 6963, 11, 11555, 432, 15516, 369, 25978, 624, 18, 13, 11775, 279, 5567, 448, 3807, 14709, 13, 1416, 1052, 525, 773, 1657, 18404, 429, 279, 5831, 460, 68, 10335, 705, 448, 803, 5567, 1091, 807, 646, 312, 24673, 11, 4332, 432, 4221, 279, 1251, 3042, 369, 11050, 312, 24673, 4192, 565, 5443, 8189, 8968, 448, 264, 8189, 4772, 271, 16, 13, 30988, 264, 6419, 8189, 8968, 320, 269, 61571, 8968, 701, 4751, 1091, 41195, 5567, 369, 1817, 8189, 624, 17, 13, 7405, 323, 15498, 264, 3460, 8189, 4772, 311, 279, 5622, 315, 279, 8968, 18202, 279, 16621, 829, 11, 4992, 13, 29734, 518, 3245, 220, 16, 17, 6978, 389, 279, 4772, 13, 9645, 697, 829, 11, 2551, 11, 13101, 323, 2400, 389, 279, 1156, 2802, 315, 279, 4772, 624, 18, 13, 10771, 8189, 1509, 304, 8968, 323, 3042, 311, 5831, 460, 68, 438, 13475, 13, 4636, 5831, 460, 68, 28160, 279, 8189, 504, 279, 8968, 11, 807, 3581, 279, 8968, 369, 279, 1790, 13101, 624, 19, 13, 3197, 279, 5831, 460, 68, 702, 458, 13101, 311, 2968, 264, 8189, 11, 807, 3270, 862, 829, 11, 13101, 323, 2400, 389, 279, 1156, 10113, 1555, 389, 279, 4772, 624, 20, 13, 44801, 279, 312, 24673, 323, 342, 17680, 1882, 220, 16, 17, 3039, 624, 21, 13, 12243, 279, 4384, 87698, 1697, 311, 5258, 279, 8189, 8968, 3624, 458, 2551, 311, 5019, 10007, 389, 279, 4772, 448, 279, 8968, 594, 3840, 13, 63964, 279, 8968, 8458, 304, 39930, 2971, 11, 807, 646, 1221, 15498, 264, 501, 4772, 389, 1909, 315, 279, 4024, 4772, 323, 13153, 279, 1882, 624, 22, 13, 13655, 279, 25978, 323, 342, 17680, 8781, 2087, 3080, 279, 1182, 374, 2238, 23704, 311, 3060, 13, 54006, 11, 60743, 279, 8968, 4192, 565, 7405, 264, 8189, 3037, 4751, 1091, 8189, 15061, 271, 16, 13, 39124, 15025, 56289, 20609, 311, 279, 24916, 624, 17, 13, 10771, 279, 20609, 389, 264, 3037, 1965, 13, 17757, 279, 1965, 448, 264, 61571, 1965, 87954, 624, 18, 13, 31166, 264, 825, 2150, 1487, 369, 279, 5831, 460, 68, 13, 1084, 1265, 1140, 1817, 8189, 11, 279, 829, 323, 2551, 320, 269, 5567, 8072, 421, 498, 10702, 311, 24057, 5567, 369, 9702, 498, 8388, 8, 2621, 315, 279, 1697, 7086, 279, 8189, 13, 576, 5831, 460, 68, 646, 1221, 990, 419, 1487, 311, 3624, 9731, 1446, 8388, 13, 8278, 825, 10834, 315, 5567, 374, 25983, 369, 279, 4453, 1538, 4894, 19, 13, 3197, 432, 374, 882, 311, 3042, 279, 20609, 11, 2309, 279, 5831, 460, 68, 4815, 279, 1965, 3156, 448, 279, 14709, 13, 11778, 7249, 315, 279, 9761, 1965, 11, 43963, 279, 1965, 323, 10300, 279, 1965, 27940, 279, 20609, 13, 320, 5341, 745, 11, 1281, 264, 2766, 315, 279, 1965, 1660, 42422, 13, 3623, 565, 22062, 15061, 320, 92909, 19961, 8, 279, 5831, 460, 68, 4518, 315, 279, 8189, 271, 16, 13, 1416, 697, 5831, 460, 68, 374, 30978, 635, 11, 18020, 19961, 1105, 448, 458, 18879, 3330, 7055, 3362, 476, 18020, 19961, 4867, 311, 27940, 476, 31544, 894, 20609, 624, 17, 13, 26642, 1817, 8189, 311, 279, 18020, 19961, 291, 5831, 460, 68, 1393, 279, 1251, 7086, 279, 8189, 2498, 4815, 1105, 624, 18, 13, 12243, 279, 5831, 460, 68, 10542, 279, 8189, 553, 8266, 315, 432, 13, 1416, 498, 1366, 311, 1281, 279, 3383, 803, 17003, 614, 279, 5831, 460, 68, 9850, 18879, 3330, 35416, 476, 47332, 724, 1393, 3730, 419, 13, 96195, 11, 614, 279, 5831, 460, 68, 7942, 879, 6551, 1105, 279, 8189, 624, 19, 13, 4940, 3308, 11, 1896, 12114, 7249, 320, 437, 10767, 2766, 8, 315, 279, 8189, 7086, 1882, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 11926, 697, 2562, 389, 86172, 29594, 30, 151645, 198, 151644, 77091, 198, 2461, 1429, 1251, 11, 72742, 52854, 374, 264, 2464, 1616, 311, 5505, 882, 323, 4332, 1147, 3767, 6803, 448, 4780, 13, 758, 279, 1290, 6078, 11, 4764, 11, 432, 646, 1083, 387, 264, 5390, 34282, 5392, 13, 35825, 9423, 315, 279, 906, 748, 4911, 3561, 646, 1492, 2562, 7824, 633, 803, 6414, 389, 862, 3871, 323, 3516, 11, 5310, 421, 807, 3129, 19469, 518, 264, 14650, 2169, 10650, 382, 565, 39398, 264, 9362, 271, 16, 13, 4230, 458, 3946, 72742, 52854, 2692, 369, 697, 2562, 13, 3197, 498, 1787, 279, 906, 369, 279, 1156, 882, 11, 498, 4700, 387, 2661, 279, 2999, 311, 1841, 705, 1667, 697, 4540, 1372, 11, 2551, 2621, 11, 476, 264, 4843, 24031, 5339, 1075, 5573, 13, 9646, 498, 3982, 7790, 3465, 458, 2692, 11, 15239, 279, 1697, 34731, 4603, 304, 279, 4722, 435, 21877, 437, 9131, 323, 4201, 1036, 4036, 12329, 854, 311, 2615, 697, 1196, 5003, 13, 2619, 11, 498, 646, 2297, 697, 829, 11, 3270, 700, 264, 2526, 16905, 11, 323, 8135, 264, 5526, 6802, 476, 2766, 38437, 4700, 1477, 72742, 52854, 10007, 3143, 279, 1909, 315, 279, 1036, 13319, 8577, 291, 854, 3772, 315, 697, 14890, 906, 3553, 624, 17, 13, 7854, 264, 5526, 429, 10868, 697, 2562, 1632, 13, 5145, 553, 18774, 264, 34847, 5526, 6802, 429, 686, 1281, 697, 2692, 21818, 71350, 13, 362, 12426, 11, 84665, 11, 476, 6548, 315, 825, 315, 697, 3871, 686, 975, 1850, 304, 1429, 5048, 13, 5005, 11, 9960, 264, 2805, 16905, 429, 14758, 879, 498, 525, 11, 1128, 498, 653, 11, 323, 3170, 697, 20119, 1265, 387, 8014, 70923, 2704, 311, 2924, 264, 2656, 311, 697, 3910, 476, 2860, 3553, 304, 697, 16905, 13, 2938, 1616, 11, 3847, 686, 387, 2952, 311, 1477, 700, 803, 911, 697, 2562, 1101, 553, 16721, 697, 5526, 836, 573, 25, 95149, 6133, 4755, 1075, 11, 1036, 15191, 374, 847, 2169, 10650, 30, 9336, 1036, 3838, 1079, 358, 15652, 311, 1473, 847, 20119, 30, 9336, 323, 11, 1036, 4340, 1558, 419, 906, 4946, 304, 448, 847, 1008, 8493, 14830, 12390, 1393, 498, 3129, 90584, 4671, 448, 697, 5526, 646, 1492, 498, 7168, 304, 264, 803, 7373, 15496, 624, 18, 13, 33601, 9538, 551, 6133, 448, 279, 906, 748, 6770, 3561, 13, 5976, 432, 6081, 264, 3468, 315, 2155, 4419, 11, 72742, 52854, 374, 15503, 264, 2766, 11560, 5339, 429, 15354, 3847, 8135, 2766, 26111, 705, 311, 220, 16, 20, 6486, 304, 3084, 13, 1096, 11048, 56269, 6505, 8437, 2213, 33799, 311, 1477, 76261, 5510, 311, 12322, 862, 21762, 527, 6529, 323, 1281, 264, 5114, 4937, 36782, 1083, 614, 279, 2999, 315, 6243, 862, 6803, 311, 5411, 11674, 323, 5112, 26111, 304, 1973, 311, 1281, 56069, 19050, 96145, 6803, 11, 8193, 13420, 4627, 6803, 11, 476, 1101, 912, 264, 2632, 4960, 1707, 13, 1416, 498, 614, 264, 5021, 2766, 429, 498, 1366, 311, 1473, 11, 432, 748, 1083, 3204, 311, 4564, 5248, 20632, 429, 686, 1486, 30878, 369, 705, 311, 220, 21, 15, 6486, 624, 19, 13, 11778, 9423, 315, 279, 906, 748, 5798, 3419, 15664, 4419, 979, 17004, 6803, 13, 3197, 498, 3129, 5527, 311, 633, 6825, 11, 15239, 279, 1036, 10, 854, 3137, 304, 279, 5622, 4126, 315, 279, 4171, 13, 1096, 686, 6815, 705, 279, 304, 20023, 6249, 11, 10693, 498, 311, 6102, 264, 2766, 429, 748, 12379, 1948, 220, 16, 20, 323, 220, 21, 15, 6486, 304, 3084, 13, 3197, 498, 3129, 2814, 11, 498, 4700, 614, 279, 2999, 311, 11013, 697, 2766, 11, 912, 31361, 33592, 11, 3270, 2526, 77788, 11, 323, 6193, 389, 13406, 323, 1008, 3281, 6239, 37067, 315, 72742, 52854, 748, 1429, 27430, 4419, 374, 279, 5726, 311, 912, 24668, 4627, 323, 5112, 26111, 13, 36134, 389, 279, 1036, 24128, 854, 4603, 304, 697, 15664, 26967, 311, 26009, 458, 10875, 10951, 6733, 315, 4201, 11674, 504, 678, 2714, 300, 13, 1446, 646, 1083, 4201, 279, 1036, 13844, 854, 4603, 311, 279, 1290, 315, 279, 2518, 1036, 6471, 854, 3137, 311, 8135, 264, 2766, 429, 498, 6552, 389, 697, 3671, 6788, 13, 1096, 4565, 646, 387, 25163, 304, 1846, 14740, 1380, 498, 1366, 311, 10549, 264, 501, 1736, 714, 1513, 1405, 614, 264, 2696, 315, 882, 311, 1486, 2163, 389, 279, 906, 4192, 565, 86888, 7373, 2213, 271, 16, 13, 25806, 389, 10687, 3786, 6803, 429, 525, 2464, 323, 22570, 13, 72742, 52854, 374, 458, 72878, 906, 11, 773, 432, 748, 902, 1992, 369, 20692, 12876, 13, 77037, 1045, 882, 5001, 705, 448, 6708, 369, 7999, 429, 498, 1744, 686, 281, 2372, 697, 10650, 748, 2734, 11, 1281, 1105, 12550, 11, 476, 14907, 1105, 311, 1430, 700, 697, 1985, 476, 2473, 369, 5577, 13, 576, 16724, 5795, 374, 369, 697, 6741, 311, 9214, 304, 862, 4938, 5058, 36378, 15254, 6803, 525, 678, 279, 32949, 389, 72742, 52854, 11, 773, 421, 498, 3982, 2684, 1045, 10226, 10797, 705, 697, 36153, 11, 1431, 748, 279, 882, 311, 1473, 279, 1879, 13, 5443, 419, 6638, 311, 633, 11521, 323, 1744, 4889, 279, 12876, 3745, 2293, 5082, 473, 31420, 11, 32335, 9487, 2385, 7008, 11674, 11, 476, 975, 304, 27699, 2420, 7674, 15057, 429, 686, 1492, 498, 8722, 46855, 448, 697, 10650, 13, 40933, 5780, 4894, 17, 13, 7405, 2704, 697, 2213, 4041, 3941, 438, 22011, 13, 5976, 1052, 748, 264, 21214, 26764, 1372, 315, 5510, 311, 3158, 697, 2562, 748, 1036, 8987, 2719, 854, 389, 72742, 52854, 11, 432, 748, 16587, 429, 697, 2213, 614, 264, 16334, 11, 1495, 4686, 85087, 2666, 311, 432, 13, 1416, 432, 4977, 9575, 476, 1640, 2840, 485, 11, 697, 10650, 2765, 1405, 3695, 432, 16804, 429, 748, 6896, 1128, 498, 3129, 4460, 311, 633, 1105, 311, 653, 8382, 507, 63269, 13740, 18521, 633, 264, 2086, 1401, 1493, 2849, 13, 1988, 421, 498, 646, 11167, 279, 13245, 11, 67088, 11, 476, 56069, 13566, 315, 697, 2562, 304, 264, 1616, 429, 3643, 3847, 2666, 1075, 807, 3129, 264, 949, 315, 2494, 11, 432, 748, 2704, 311, 633, 1105, 7404, 13, 576, 3093, 315, 1251, 879, 897, 279, 906, 748, 1787, 83075, 11, 11521, 3561, 525, 72735, 2588, 311, 60129, 1667, 8606, 8493, 14830, 11, 323, 8376, 311, 15401, 9675, 429, 2803, 1351, 15086, 323, 1896, 803, 315, 264, 1495, 4686, 85087, 5486, 836, 573, 25, 60228, 911, 43361, 11, 38432, 15908, 6625, 48541, 13, 72742, 52854, 7674, 374, 678, 911, 2464, 11, 36291, 2145, 487, 11, 323, 39700, 11, 448, 264, 3746, 330, 17625, 56, 1, 36537, 624, 18, 13, 4230, 2805, 1985, 43795, 13, 7405, 6803, 315, 6133, 476, 697, 2083, 3613, 3520, 1667, 279, 3589, 498, 3129, 12876, 13, 1096, 374, 264, 1661, 6012, 311, 1473, 697, 21762, 1101, 1128, 697, 3871, 646, 653, 11, 476, 311, 11167, 894, 1376, 4419, 476, 10602, 5711, 432, 2578, 614, 875, 2766, 315, 4325, 274, 5654, 458, 9853, 9255, 8413, 7027, 389, 279, 11321, 22865, 553, 4780, 11, 369, 2867, 11, 686, 387, 1753, 803, 4363, 311, 1281, 458, 20792, 389, 21762, 1091, 825, 9027, 4325, 16163, 279, 1852, 42350, 7484, 304, 862, 9780, 13, 19881, 11, 498, 1172, 614, 220, 16, 20, 6486, 11, 773, 498, 4700, 1184, 311, 2987, 4499, 3786, 264, 95944, 315, 3974, 15104, 476, 10706, 311, 279, 1429, 15978, 949, 315, 697, 29716, 304, 1973, 311, 633, 697, 1943, 3941, 624, 19, 13, 5145, 264, 28862, 47077, 8645, 13, 15565, 705, 448, 264, 4911, 1616, 311, 633, 697, 10650, 311, 16579, 448, 264, 3953, 1985, 476, 2473, 11, 2968, 432, 264, 85505, 47077, 11, 323, 3010, 311, 4332, 476, 94187, 3293, 36835, 504, 3847, 879, 912, 279, 47077, 311, 862, 7999, 13, 2806, 1172, 686, 419, 2968, 1105, 264, 6012, 311, 8722, 1045, 14338, 553, 1660, 14766, 389, 697, 2692, 11, 432, 686, 1083, 5978, 429, 697, 47077, 374, 8865, 3041, 323, 6884, 26914, 23392, 429, 498, 1598, 264, 67072, 2813, 2598, 23670, 89, 13, 1446, 2578, 8645, 72742, 52854, 3847, 311, 1736, 6803, 315, 5577, 12233, 697, 15294, 369, 862, 6930, 7488, 448, 279, 47077, 11, 1036, 2, 55336, 89, 51, 2050, 7823, 48116, 20, 13, 10751, 60040, 3847, 311, 16282, 448, 697, 7999, 13, 42533, 498, 2182, 705, 264, 501, 1736, 11, 2924, 264, 1618, 4686, 25059, 311, 61325, 21762, 311, 1075, 11, 3980, 11, 323, 4332, 13, 43145, 773, 686, 1077, 1105, 5695, 264, 3093, 315, 21276, 448, 697, 2813, 11, 7703, 1181, 23160, 304, 279, 1882, 13, 1913, 458, 906, 1075, 72742, 52854, 11, 7046, 23160, 3363, 7046, 6997, 2897, 11, 892, 304, 2484, 3363, 803, 6310, 1069, 441, 12754, 1075, 11, 1036, 40451, 601, 892, 4565, 315, 1039, 501, 33289, 498, 1075, 1850, 304, 279, 6042, 17839, 476, 11, 1036, 3838, 1008, 5711, 614, 498, 11105, 369, 1039, 71500, 36898, 8335, 5819, 54104, 12390, 2968, 697, 10650, 264, 6012, 311, 1896, 264, 803, 4541, 3476, 304, 697, 43717, 8869, 13, 13293, 1616, 311, 9225, 697, 5545, 374, 311, 2548, 21762, 311, 1736, 6803, 315, 5577, 1667, 697, 1985, 476, 25021, 1128, 807, 1075, 911, 432, 369, 264, 6552, 518, 264, 94187, 11, 4428, 311, 47077, 8645, 4192, 565, 11292, 993, 3550, 389, 86172, 29594, 271, 16, 13, 23499, 304, 86160, 9867, 2213, 13, 758, 86160, 9867, 13740, 525, 2766, 13740, 429, 2420, 705, 47482, 1948, 5792, 1196, 6803, 13, 3197, 498, 1736, 825, 315, 1493, 13740, 11, 432, 686, 4994, 438, 264, 2480, 29260, 11, 1901, 2807, 480, 2766, 11, 4428, 311, 45835, 7343, 389, 13991, 13, 1096, 374, 279, 1429, 30339, 1616, 311, 50836, 389, 72742, 52854, 11, 323, 4658, 279, 825, 429, 20647, 279, 1429, 23160, 8084, 32901, 498, 3129, 8014, 304, 3259, 990, 315, 72742, 52854, 748, 993, 2473, 11, 498, 4700, 1184, 311, 975, 448, 825, 315, 279, 2813, 748, 8493, 40411, 11, 879, 686, 3410, 498, 448, 678, 279, 3546, 498, 1184, 8826, 21219, 11, 5944, 11, 323, 24132, 13, 9646, 697, 993, 702, 1012, 8454, 11, 498, 646, 3754, 1181, 46110, 553, 33888, 264, 1372, 315, 2155, 16734, 11, 2670, 27749, 11, 6194, 11, 1486, 8090, 11, 323, 21880, 1075, 6042, 323, 13248, 836, 573, 25, 5976, 4752, 697, 993, 11, 498, 4700, 614, 279, 2999, 315, 2670, 7746, 311, 697, 3910, 11, 2860, 3553, 11, 476, 906, 11, 438, 1632, 438, 81861, 429, 3847, 646, 4205, 389, 311, 1490, 4428, 2213, 624, 17, 13, 22112, 264, 6741, 63210, 13, 16430, 1896, 8969, 525, 3460, 12934, 3590, 3687, 8493, 20686, 429, 2138, 15721, 311, 1036, 22769, 916, 854, 458, 906, 369, 264, 3175, 1899, 13, 3555, 419, 3363, 374, 429, 697, 2562, 748, 43717, 5424, 686, 387, 12596, 389, 279, 906, 748, 2114, 4171, 369, 220, 17, 19, 4115, 13, 11954, 429, 882, 11, 498, 646, 1083, 990, 279, 906, 748, 11521, 4419, 311, 3072, 1737, 80133, 17112, 2213, 8482, 85563, 81861, 323, 22864, 7746, 311, 697, 3910, 476, 1985, 6816, 26676, 803, 1995, 389, 21219, 323, 18048, 11, 633, 304, 5796, 448, 264, 72742, 52854, 8493, 2064, 553, 16721, 279, 46323, 3772, 315, 279, 2813, 748, 3910, 13, 2619, 525, 1083, 1036, 5366, 2738, 854, 63210, 14185, 2500, 429, 9142, 5961, 1119, 220, 16, 20, 43863, 304, 86160, 2766, 13740, 504, 279, 2114, 4171, 624, 18, 13, 11471, 369, 28926, 81861, 13, 17582, 9253, 81861, 15791, 22054, 279, 1852, 3166, 438, 2114, 61276, 47077, 11513, 13, 576, 1887, 6672, 374, 429, 4518, 315, 38561, 389, 697, 10650, 311, 8865, 3409, 315, 697, 8645, 11, 72742, 52854, 686, 3081, 432, 369, 498, 1526, 17112, 7999, 13, 82283, 311, 1977, 11, 432, 702, 279, 4650, 311, 1477, 1181, 1616, 2163, 311, 264, 2696, 803, 3847, 419, 1616, 3839, 2317, 72742, 52854, 4332, 697, 2562, 748, 81861, 646, 13919, 5263, 697, 3482, 9442, 11, 714, 432, 8491, 4436, 1405, 11872, 13, 3216, 1045, 17530, 11, 22577, 264, 28926, 47077, 1410, 1598, 498, 438, 1753, 438, 400, 16, 20, 15, 11, 15, 15, 15, 4894, 19, 13, 20552, 369, 697, 1828, 45835, 34957, 13, 444, 4280, 525, 15664, 4419, 429, 7283, 72742, 52854, 3847, 311, 18379, 862, 5335, 323, 6803, 553, 7842, 3281, 6239, 11, 1753, 1075, 279, 13406, 389, 55179, 323, 13991, 13, 14627, 879, 1430, 700, 697, 34957, 686, 387, 11628, 264, 26447, 1943, 311, 862, 20119, 311, 1779, 700, 697, 2562, 13, 576, 803, 1251, 498, 646, 633, 1667, 697, 34957, 11, 279, 803, 829, 17843, 498, 2498, 311, 7232, 6133, 32901, 498, 3387, 311, 728, 419, 6021, 11, 498, 4700, 975, 15148, 448, 72742, 52854, 748, 8493, 11647, 311, 2225, 34957, 3118, 389, 1045, 12893, 315, 697, 2562, 748, 43717, 13, 66701, 11, 697, 34957, 1265, 3010, 3847, 264, 7010, 501, 2456, 476, 1401, 311, 1486, 2163, 448, 11, 537, 1101, 61927, 697, 829, 476, 12426, 16852, 13, 4320, 1405, 10667, 429, 697, 16538, 374, 311, 3520, 633, 1251, 311, 990, 432, 624, 20, 13, 5547, 448, 1632, 21309, 86233, 311, 3063, 697, 10650, 10596, 13, 3776, 315, 279, 1850, 5510, 311, 6923, 264, 30427, 979, 498, 3129, 1101, 5916, 700, 374, 311, 50596, 448, 3847, 879, 2669, 614, 264, 12235, 2701, 13, 1416, 498, 2525, 3941, 264, 3953, 72742, 52854, 6774, 879, 498, 1744, 2578, 1281, 264, 1661, 34282, 8263, 11, 5545, 700, 311, 1105, 4566, 2118, 1943, 323, 1490, 421, 807, 1035, 387, 8014, 304, 18169, 8437, 13, 19434, 304, 3971, 429, 279, 1429, 31449, 12396, 389, 3590, 3687, 525, 5990, 15387, 11, 773, 498, 1265, 387, 10030, 311, 3410, 19857, 421, 498, 1366, 311, 58107, 264, 11877, 389, 862, 17011, 13, 3085, 279, 1290, 27903, 11, 498, 1410, 1490, 458, 24199, 304, 697, 48207, 5109, 323, 4889, 3482, 9442, 15901, 24398, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 5889, 311, 6975, 91104, 9462, 30, 151645, 198, 151644, 77091, 198, 4498, 4325, 6696, 498, 6975, 91104, 9462, 11, 432, 646, 387, 33453, 311, 1414, 1246, 311, 5889, 11, 902, 4925, 1246, 1632, 20052, 2939, 291, 432, 374, 13, 1446, 1513, 944, 1366, 311, 12898, 862, 15650, 11, 714, 498, 1083, 1231, 537, 1366, 311, 5274, 3054, 369, 4623, 9462, 13, 17688, 11, 678, 498, 646, 653, 374, 80767, 24645, 279, 9462, 323, 3271, 4637, 13, 758, 1008, 5048, 11, 4764, 11, 498, 1231, 1184, 311, 9311, 279, 9462, 2371, 1524, 1495, 369, 26638, 264, 18732, 11, 476, 1496, 5274, 279, 10435, 382, 565, 13655, 697, 7010, 271, 16, 13, 9735, 311, 6099, 429, 279, 1697, 374, 4658, 1101, 4460, 311, 387, 10950, 13, 2379, 1231, 537, 13083, 979, 807, 916, 9520, 862, 14262, 11, 323, 807, 2578, 3900, 429, 498, 686, 35197, 8760, 504, 862, 9462, 13, 17688, 11, 6975, 91104, 9462, 1101, 3363, 429, 279, 1697, 33572, 911, 498, 323, 6801, 311, 1281, 697, 2272, 8661, 13, 1084, 374, 4135, 311, 1896, 6975, 91104, 9462, 438, 18817, 13, 5976, 419, 646, 387, 830, 11, 1896, 862, 13057, 1119, 2692, 323, 1430, 311, 1490, 421, 807, 525, 10004, 22011, 11, 3602, 75506, 1824, 624, 17, 13, 11778, 264, 4445, 311, 2182, 6133, 304, 279, 1008, 1697, 594, 15294, 13, 5976, 432, 1558, 537, 27291, 862, 46001, 7709, 11, 2506, 304, 3971, 429, 1251, 3545, 2968, 6975, 91104, 9462, 1576, 807, 2666, 279, 1184, 311, 387, 6617, 11, 476, 1576, 432, 594, 1128, 807, 2299, 1483, 311, 12308, 504, 1008, 1251, 13, 21149, 911, 1128, 1231, 614, 6069, 419, 1697, 311, 4332, 264, 6573, 315, 9462, 498, 1521, 537, 1184, 13, 4329, 10295, 315, 11449, 429, 2578, 2990, 4325, 311, 2968, 6975, 91104, 9462, 525, 8266, 85460, 1393, 7826, 705, 11, 2087, 1526, 264, 5000, 882, 323, 81282, 862, 1828, 5322, 8630, 498, 11, 476, 807, 2666, 79517, 304, 1008, 5671, 315, 862, 2272, 323, 2968, 9462, 311, 2666, 803, 39783, 13, 758, 1008, 5048, 11, 279, 1697, 1231, 2666, 803, 7988, 553, 7086, 9462, 429, 902, 825, 4588, 369, 11, 476, 807, 1231, 387, 916, 6135, 1713, 304, 862, 17541, 13, 28217, 374, 2441, 8168, 11, 438, 2953, 8376, 311, 2968, 3198, 803, 6975, 91104, 9462, 11, 3545, 438, 264, 1102, 315, 2030, 6152, 7471, 862, 7361, 624, 18, 13, 86377, 264, 5530, 315, 27385, 13, 1084, 748, 3545, 29589, 311, 15289, 476, 12550, 1007, 6975, 91104, 9462, 13, 3216, 3432, 264, 5530, 315, 27385, 911, 279, 6534, 11, 498, 646, 2182, 6133, 304, 279, 1290, 4034, 315, 3971, 311, 14035, 768, 1007, 279, 3980, 13, 1752, 2613, 11, 52897, 18225, 11, 5310, 504, 39621, 11, 2182, 279, 6534, 304, 13057, 323, 1077, 697, 27385, 8474, 697, 2033, 13, 21149, 911, 1246, 279, 6534, 686, 1281, 264, 15173, 3364, 311, 3291, 697, 4780, 2937, 11, 476, 1246, 31577, 432, 374, 369, 4325, 311, 1744, 498, 2578, 537, 1414, 1246, 311, 653, 264, 4285, 3383, 13, 1446, 646, 20001, 1661, 5279, 1568, 67, 27385, 304, 697, 2033, 700, 315, 3354, 23709, 11, 1496, 979, 498, 1477, 279, 23776, 29471, 476, 46980, 13, 3216, 5488, 2494, 1075, 11, 1036, 11395, 11, 429, 748, 264, 2244, 4522, 0, 8429, 3207, 1405, 358, 1744, 315, 429, 12390, 498, 1231, 387, 27362, 1105, 311, 3060, 311, 3010, 21624, 14749, 291, 9462, 11, 714, 432, 646, 1492, 498, 5648, 12055, 624, 19, 13, 34006, 279, 48867, 311, 97281, 700, 13, 1084, 374, 4135, 311, 2666, 16016, 979, 498, 5258, 6975, 91104, 9462, 11, 304, 949, 1576, 432, 646, 2666, 1075, 279, 1008, 1697, 3171, 1405, 6950, 498, 311, 3705, 2513, 5577, 13, 328, 8198, 10530, 323, 18817, 646, 1281, 279, 1697, 879, 6551, 498, 9462, 2666, 11734, 1506, 11, 4764, 11, 438, 807, 1429, 4363, 2765, 1405, 1490, 1128, 807, 1521, 4969, 13, 21149, 911, 697, 5025, 448, 279, 1697, 13, 35525, 421, 807, 525, 264, 4238, 476, 2997, 4462, 11, 498, 1231, 537, 1366, 311, 22459, 1105, 13, 3197, 44730, 448, 264, 33958, 11, 432, 646, 387, 4135, 311, 387, 13432, 533, 476, 46001, 11, 714, 1430, 29338, 304, 264, 7474, 11, 3602, 47787, 1616, 421, 31581, 1007, 279, 9462, 3171, 1405, 975, 4192, 565, 14561, 389, 448, 279, 10435, 271, 16, 13, 56099, 279, 9462, 2371, 1524, 700, 13, 758, 1657, 5048, 11, 279, 1697, 1101, 6801, 311, 2666, 6617, 476, 16792, 311, 279, 10435, 13, 6771, 1105, 1977, 862, 6573, 11, 1496, 421, 432, 594, 650, 8653, 1262, 476, 6587, 4969, 13, 2379, 3278, 4658, 2666, 2664, 3055, 807, 6248, 7404, 323, 3545, 1101, 2936, 13, 9646, 807, 614, 8060, 11, 279, 10435, 646, 3271, 389, 624, 17, 13, 50982, 51186, 279, 9462, 323, 3271, 389, 13, 17688, 279, 29589, 3166, 311, 653, 374, 16004, 11, 15289, 11, 1977, 16910, 11, 323, 728, 8305, 448, 697, 6649, 13657, 13, 96385, 421, 279, 1697, 374, 304, 264, 2309, 315, 2355, 11, 498, 2578, 2666, 66876, 311, 9702, 1105, 1573, 7218, 4637, 476, 10018, 279, 3832, 13, 330, 13060, 498, 13, 358, 3278, 2908, 429, 1189, 330, 10061, 752, 3270, 429, 1495, 773, 358, 646, 1744, 432, 916, 1189, 330, 40, 2669, 614, 264, 3119, 369, 11589, 419, 11, 714, 9702, 498, 369, 697, 13057, 13, 358, 3278, 1896, 432, 1119, 17879, 10040, 18, 13, 11999, 432, 1119, 264, 21646, 911, 6133, 13, 362, 2632, 27385, 646, 2484, 2163, 458, 28759, 6534, 13, 1416, 498, 1744, 315, 2494, 29471, 311, 1977, 11, 1430, 5488, 432, 700, 17361, 13, 576, 1378, 315, 498, 2578, 387, 2952, 311, 614, 264, 1661, 12550, 323, 3271, 389, 13, 330, 2679, 498, 1744, 847, 18010, 374, 45846, 11, 498, 1265, 1490, 847, 13829, 13, 4329, 315, 847, 15097, 614, 4658, 30276, 1506, 553, 1431, 1189, 330, 2610, 1414, 752, 13, 358, 2948, 52509, 3041, 2238, 1753, 311, 2297, 847, 9968, 1189, 330, 40, 1035, 11, 714, 847, 9972, 20834, 752, 504, 279, 9780, 1283, 279, 2086, 882, 358, 738, 7037, 389, 3940, 10040, 19, 13, 9177, 862, 45994, 11, 421, 807, 614, 825, 13, 17688, 1251, 879, 2968, 9462, 614, 458, 8557, 40544, 45994, 320, 1958, 2664, 476, 369, 10960, 568, 1416, 498, 646, 3291, 429, 458, 9462, 2371, 1524, 374, 15652, 498, 3278, 653, 2494, 429, 3643, 1105, 6247, 11, 1430, 10004, 458, 10555, 476, 27020, 432, 5961, 13, 330, 11526, 498, 4460, 311, 1281, 458, 27291, 311, 8329, 803, 882, 448, 752, 30, 9211, 498, 1513, 944, 1184, 825, 0, 8713, 498, 1910, 419, 9001, 7521, 330, 40, 1414, 429, 432, 594, 1012, 264, 2409, 2297, 2474, 358, 7726, 3123, 504, 2114, 13, 358, 4669, 5382, 304, 279, 3283, 11, 773, 358, 3119, 311, 4717, 1052, 13, 8429, 1513, 944, 582, 738, 1045, 12713, 369, 498, 311, 2525, 3947, 47369, 20, 13, 20437, 264, 3405, 311, 3398, 311, 264, 501, 8544, 13, 50169, 279, 3832, 553, 10161, 264, 3405, 646, 387, 264, 1661, 1616, 311, 63817, 264, 1697, 879, 572, 281, 7979, 389, 9462, 13, 9735, 10161, 911, 1105, 11, 476, 911, 2494, 498, 1414, 807, 2299, 8014, 304, 13, 1096, 1616, 11, 807, 2299, 4363, 311, 4717, 16634, 304, 279, 501, 8544, 13, 330, 40, 3278, 2506, 429, 304, 3971, 13, 1988, 3322, 911, 752, 13, 2585, 572, 697, 1899, 7521, 330, 5050, 8263, 323, 358, 525, 2087, 311, 1281, 678, 1039, 15248, 1596, 11181, 3786, 13, 3155, 498, 1414, 315, 894, 1661, 2681, 323, 752, 6846, 7521, 330, 12658, 369, 279, 9462, 0, 1446, 9733, 3432, 1378, 12590, 13, 3555, 525, 862, 5036, 47369, 21, 13, 11999, 1495, 279, 9462, 80767, 421, 279, 1697, 3171, 944, 633, 279, 13012, 496, 9735, 311, 2506, 432, 6785, 553, 5488, 429, 432, 4436, 944, 1290, 369, 498, 15726, 11, 1393, 60608, 429, 432, 1410, 387, 1290, 369, 1105, 476, 4325, 770, 13, 1096, 686, 1492, 279, 1008, 1697, 13083, 429, 807, 6551, 9462, 498, 3207, 1405, 2548, 369, 13, 330, 13060, 498, 369, 4460, 311, 1492, 11, 714, 358, 1231, 614, 2661, 279, 4969, 20792, 13, 358, 2776, 537, 3330, 369, 9462, 1290, 1431, 1189, 330, 40, 3003, 6679, 429, 11, 714, 358, 1730, 429, 432, 3171, 944, 1492, 752, 15726, 1189, 330, 40, 3278, 1281, 6380, 11181, 448, 847, 10668, 1189, 330, 4792, 594, 537, 304, 1555, 448, 847, 4345, 2750, 31707, 565, 1200, 6951, 279, 9462, 2371, 1524, 271, 16, 13, 17399, 697, 43676, 421, 279, 9462, 2371, 1524, 49435, 264, 1555, 13, 17688, 11, 1251, 1977, 2513, 429, 525, 69952, 46001, 11, 3076, 11, 476, 38432, 11285, 13, 758, 429, 1142, 11, 498, 1231, 1366, 311, 3291, 1105, 429, 807, 3003, 53121, 498, 476, 12898, 697, 15650, 13, 9735, 311, 1281, 330, 40, 1, 12239, 320, 68, 1302, 13, 330, 40, 2776, 22459, 899, 4518, 315, 264, 330, 9330, 1, 5114, 320, 68, 1302, 13, 330, 9330, 2299, 46001, 899, 773, 429, 498, 1513, 944, 2182, 1105, 389, 279, 16016, 13, 3776, 1616, 311, 9311, 1495, 264, 6573, 315, 34921, 9462, 1035, 387, 311, 1977, 11, 330, 40, 2666, 22459, 911, 419, 1555, 315, 10435, 13, 6771, 594, 4486, 2297, 279, 3832, 10040, 17, 13, 2573, 264, 18732, 448, 264, 5792, 9462, 2371, 1524, 13, 1416, 4325, 374, 18822, 4460, 311, 2968, 9462, 979, 432, 594, 537, 1128, 498, 1366, 11, 498, 1231, 1366, 311, 3158, 697, 31986, 304, 264, 53484, 1616, 13, 1446, 646, 738, 264, 18732, 304, 279, 10435, 11, 476, 304, 4586, 11, 421, 279, 1697, 702, 264, 3754, 3255, 315, 10004, 6975, 91104, 9462, 13, 1752, 264, 3151, 2867, 315, 32821, 311, 738, 264, 18732, 498, 1410, 1977, 11, 330, 40, 1414, 498, 2299, 4460, 311, 1492, 11, 714, 358, 2167, 1101, 1184, 264, 14289, 2430, 1290, 1431, 1335, 476, 4936, 330, 40, 2776, 537, 3330, 369, 9462, 518, 279, 4445, 1189, 1416, 4325, 702, 1012, 7086, 498, 6975, 91104, 9462, 369, 5555, 11, 3951, 11, 476, 1635, 11, 1430, 5488, 2494, 1075, 11, 1036, 40, 3545, 2666, 1075, 498, 1430, 311, 1492, 304, 5510, 429, 1473, 498, 1513, 1405, 6950, 752, 311, 1492, 7037, 2419, 476, 1036, 40, 686, 2548, 369, 9462, 421, 358, 1184, 311, 11, 714, 358, 1184, 498, 311, 1077, 752, 3061, 911, 419, 2041, 4460, 311, 1492, 48116, 18, 13, 18995, 279, 10435, 421, 4362, 13, 17688, 1251, 26306, 389, 6975, 91104, 9462, 8818, 697, 13553, 311, 6423, 279, 10435, 476, 738, 264, 18732, 13, 758, 1493, 14740, 11, 432, 1231, 387, 8661, 311, 5274, 279, 10435, 369, 264, 9383, 476, 835, 279, 10435, 30055, 13, 330, 5501, 27291, 752, 13, 358, 26471, 1940, 6228, 197, 9, 330, 40, 1184, 311, 633, 2087, 1431, 773, 358, 2776, 537, 3309, 1189, 330, 40, 1184, 311, 633, 311, 458, 17635, 13, 1084, 572, 6419, 7404, 311, 498, 24734, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 3484, 448, 264, 2618, 4709, 30, 151645, 198, 151644, 77091, 198, 43, 14421, 697, 2618, 646, 1896, 264, 25851, 389, 697, 1632, 32751, 11, 39282, 11, 323, 656, 2630, 2364, 13, 3197, 14550, 448, 264, 2618, 4709, 11, 975, 1526, 279, 8464, 553, 9271, 9314, 323, 26236, 27084, 13, 9177, 697, 39282, 323, 1281, 5871, 4344, 311, 8039, 287, 323, 10164, 13, 80645, 9314, 25785, 646, 1492, 498, 2666, 2664, 323, 633, 498, 12128, 311, 312, 48215, 287, 279, 2618, 3081, 13, 5976, 14550, 448, 264, 2618, 4709, 646, 387, 5000, 11, 498, 646, 614, 264, 6785, 3139, 2337, 697, 9142, 323, 1496, 4669, 1045, 315, 279, 4344, 498, 1281, 382, 565, 24946, 448, 8464, 504, 9052, 697, 2618, 271, 16, 13, 26530, 6133, 311, 3139, 37284, 13, 98139, 264, 2618, 374, 1753, 803, 1091, 13188, 697, 2530, 315, 7911, 13, 4615, 2618, 1231, 387, 264, 2530, 315, 697, 9569, 323, 4446, 498, 4345, 323, 6584, 56283, 13, 1084, 748, 4622, 311, 3139, 37284, 11, 773, 2138, 6133, 311, 2666, 432, 13, 20829, 8820, 15650, 2525, 323, 1414, 429, 807, 686, 537, 1537, 15683, 13, 22950, 287, 697, 21261, 1495, 476, 54806, 807, 1513, 1405, 3000, 686, 4363, 1102, 304, 1105, 5001, 705, 518, 2441, 882, 11, 3425, 498, 1075, 432, 476, 537, 13, 2055, 11, 979, 498, 2666, 19234, 11, 50878, 11, 3900, 31928, 11, 476, 37284, 11, 1077, 432, 387, 323, 1513, 1405, 4484, 432, 3123, 624, 17, 13, 5443, 7373, 61982, 14830, 13, 1581, 6132, 448, 264, 2618, 4709, 686, 2030, 33129, 2845, 2990, 311, 8464, 13, 356, 2792, 448, 697, 8464, 553, 22570, 304, 7488, 429, 1281, 498, 2666, 1661, 323, 47739, 697, 8464, 304, 264, 9314, 1616, 13, 7379, 458, 5702, 429, 11967, 288, 498, 323, 8609, 498, 2666, 19300, 13, 3285, 424, 304, 33848, 7488, 1741, 438, 26011, 11, 32762, 11, 476, 8322, 287, 13, 34006, 1667, 12904, 11, 10975, 11, 476, 1008, 27756, 32055, 438, 264, 1616, 311, 36486, 624, 18, 13, 20437, 369, 14269, 1824, 504, 10245, 6174, 13, 5976, 697, 10245, 6174, 646, 1405, 11625, 697, 5322, 11, 807, 646, 1824, 498, 323, 38480, 264, 14289, 2430, 1393, 498, 3378, 700, 697, 2272, 13, 7379, 4325, 498, 6950, 323, 3061, 911, 697, 27870, 323, 2548, 369, 1824, 13, 1446, 1513, 1405, 1184, 311, 728, 1526, 697, 5322, 7484, 13, 55378, 697, 2618, 4709, 264, 6234, 646, 1281, 2513, 10960, 13, 14187, 429, 1052, 525, 1251, 498, 646, 3061, 311, 323, 879, 686, 1824, 498, 624, 19, 13, 25806, 389, 1128, 498, 646, 2524, 13, 1446, 646, 1405, 2524, 697, 2618, 4709, 476, 979, 498, 686, 633, 264, 501, 2618, 13, 1446, 2765, 1405, 1414, 979, 458, 19136, 686, 1618, 498, 1182, 476, 1246, 1657, 19344, 498, 686, 633, 13, 12090, 315, 21080, 389, 2513, 4889, 315, 697, 2524, 11, 5244, 389, 1128, 498, 646, 2524, 11, 1741, 438, 3709, 4862, 11, 4633, 2453, 315, 6133, 11, 323, 14590, 6133, 448, 6785, 33353, 13, 21149, 315, 1128, 374, 2878, 697, 2524, 979, 498, 2666, 42106, 476, 31547, 700, 624, 20, 13, 7379, 15888, 1526, 264, 31528, 476, 5702, 13, 1416, 498, 1513, 1405, 1414, 1128, 311, 653, 448, 6133, 323, 279, 882, 498, 614, 11, 1477, 7488, 429, 2666, 49598, 13, 9735, 69338, 518, 458, 9864, 22906, 476, 1283, 34689, 2025, 369, 2841, 13, 19725, 705, 264, 31528, 429, 748, 2464, 323, 49598, 1741, 438, 18824, 11, 27966, 11, 95953, 11, 476, 20971, 13, 98139, 697, 2618, 646, 1281, 498, 2666, 1075, 697, 5530, 315, 7290, 374, 8048, 13, 42797, 458, 31080, 5702, 646, 1492, 498, 3139, 1045, 15888, 323, 56283, 4889, 315, 975, 4192, 565, 13760, 5896, 4925, 271, 16, 13, 20552, 369, 5896, 12994, 13, 39630, 389, 1380, 498, 3887, 11, 498, 1231, 387, 2952, 311, 2615, 3033, 12994, 979, 498, 3635, 48889, 13, 5994, 311, 697, 2205, 14402, 3516, 9292, 304, 697, 1584, 476, 17971, 311, 1490, 421, 498, 25384, 369, 7337, 527, 19857, 11, 25608, 7567, 11, 6457, 12994, 323, 8113, 11, 5896, 12994, 369, 3607, 11, 323, 1008, 7567, 429, 646, 1492, 304, 419, 5000, 882, 13, 1446, 646, 5990, 4227, 304, 323, 3061, 311, 4325, 279, 1852, 1899, 13, 39124, 9293, 504, 697, 3681, 19136, 429, 21101, 697, 2291, 11, 8113, 11, 7567, 11, 4992, 13, 45765, 3516, 646, 1896, 882, 311, 633, 3855, 11, 773, 3796, 369, 1105, 438, 5135, 438, 498, 9052, 697, 2618, 624, 17, 13, 86377, 264, 8039, 13, 1416, 498, 3129, 537, 2669, 1667, 264, 8039, 11, 1431, 374, 279, 4727, 882, 311, 1855, 825, 13, 4615, 5795, 369, 264, 8039, 1393, 48889, 374, 311, 3581, 3220, 323, 7949, 697, 8084, 18024, 13, 4230, 11059, 369, 697, 10164, 1741, 438, 3607, 11, 1803, 11, 8016, 3183, 371, 14943, 11, 6753, 2453, 11, 476, 4113, 770, 429, 748, 61523, 13, 44625, 3220, 311, 1817, 5582, 323, 4717, 2878, 279, 3930, 498, 738, 0, 31306, 264, 8039, 686, 1492, 498, 62552, 1380, 697, 3220, 5780, 323, 1246, 1753, 498, 686, 8329, 389, 2155, 3589, 13, 1752, 3110, 11, 738, 705, 264, 400, 17, 15, 15, 8039, 1817, 2254, 369, 3607, 323, 1191, 11833, 15298, 429, 525, 9314, 323, 686, 5155, 498, 705, 13, 25784, 279, 15556, 323, 26457, 15298, 323, 5244, 389, 3709, 697, 6770, 3880, 2270, 624, 18, 13, 10255, 3220, 13, 4615, 5795, 1290, 1431, 374, 311, 614, 3322, 3220, 311, 633, 553, 323, 537, 10955, 911, 39282, 1393, 498, 1401, 369, 697, 1790, 2618, 13, 19649, 1182, 389, 4960, 18024, 553, 3259, 2613, 4344, 11, 1741, 438, 18774, 264, 23048, 6371, 4540, 3119, 476, 96915, 697, 18813, 15871, 421, 498, 3982, 10497, 2087, 13, 9192, 369, 2613, 2513, 498, 646, 3931, 700, 429, 2765, 1405, 7802, 498, 2238, 1753, 13, 1752, 3110, 11, 990, 13954, 3871, 4518, 315, 45835, 3589, 13, 34006, 11833, 6467, 476, 9508, 13, 12090, 11, 3947, 697, 2205, 6733, 311, 17193, 1105, 13, 4615, 6733, 1231, 1496, 614, 1008, 3589, 2500, 369, 11679, 11, 11649, 389, 1246, 1632, 87113, 279, 6733, 1849, 374, 304, 697, 3082, 624, 19, 13, 14215, 25165, 23491, 13, 98139, 264, 2618, 3545, 3363, 264, 59783, 3931, 304, 7911, 476, 902, 2530, 315, 7911, 518, 678, 13, 19649, 1182, 389, 894, 25165, 10164, 13, 1752, 3110, 11, 421, 498, 17963, 311, 264, 15088, 14418, 476, 34282, 3745, 11, 9121, 432, 13, 1416, 498, 8180, 700, 369, 1429, 20969, 11, 2908, 17233, 518, 2114, 13, 4220, 525, 4285, 5510, 311, 3931, 10164, 429, 646, 1492, 498, 448, 5896, 19753, 13, 7379, 5510, 429, 498, 646, 3931, 10164, 2041, 3432, 311, 1281, 59783, 4344, 13, 1752, 3110, 11, 3930, 697, 2860, 11919, 13, 7405, 264, 1140, 315, 697, 15088, 18024, 323, 8253, 421, 1052, 525, 1045, 498, 646, 21725, 476, 18472, 13, 1752, 3110, 11, 1045, 14652, 5110, 686, 2138, 498, 311, 18472, 697, 15088, 3119, 311, 264, 1602, 6770, 3119, 369, 264, 2696, 2686, 3220, 369, 705, 311, 220, 21, 3951, 518, 264, 882, 624, 20, 13, 7405, 1045, 4960, 3220, 13, 1416, 498, 3129, 19962, 311, 1281, 10335, 3367, 11, 1052, 525, 1045, 4135, 5510, 311, 1281, 3220, 6157, 13, 9192, 2163, 323, 1477, 3589, 304, 697, 2114, 429, 498, 3129, 9831, 311, 949, 448, 304, 1973, 311, 1281, 1045, 3220, 13, 1096, 2578, 2924, 15097, 11, 30491, 11, 6467, 11, 476, 30717, 13, 1416, 498, 614, 264, 23863, 13829, 304, 697, 2114, 11, 2908, 52227, 432, 700, 311, 4325, 13, 7075, 705, 448, 264, 31227, 76711, 2813, 323, 3010, 31227, 23490, 979, 498, 614, 882, 13, 9192, 518, 31131, 8974, 2618, 6594, 2860, 13, 4329, 11, 1741, 438, 3138, 1778, 11, 61979, 11, 323, 20738, 614, 264, 2696, 315, 2155, 4494, 315, 975, 429, 1251, 525, 9831, 311, 2291, 498, 311, 653, 13, 5976, 3259, 1045, 4960, 3220, 4990, 1045, 5041, 11, 432, 646, 2291, 1007, 323, 1281, 498, 2666, 803, 10655, 1393, 498, 3129, 48889, 4192, 565, 13655, 264, 9314, 18899, 271, 16, 13, 13655, 264, 7298, 14021, 13, 2806, 3432, 264, 2618, 646, 3076, 429, 2849, 2666, 1075, 807, 14501, 389, 15683, 476, 429, 498, 12291, 882, 1172, 311, 13083, 429, 279, 1899, 374, 916, 13, 4230, 264, 7298, 9700, 476, 14021, 429, 8609, 498, 22054, 697, 8845, 323, 4717, 26236, 13, 12243, 264, 738, 882, 429, 498, 1191, 323, 835, 697, 1899, 773, 429, 498, 2506, 264, 4586, 14021, 13, 1752, 3110, 11, 15156, 705, 518, 279, 1852, 882, 1817, 6556, 323, 2506, 264, 5792, 6556, 14021, 13, 5994, 311, 279, 18813, 11, 1221, 1191, 697, 2618, 2711, 13, 1084, 2578, 1492, 311, 633, 700, 315, 279, 3753, 979, 498, 653, 975, 624, 17, 13, 2126, 1661, 6084, 13, 23774, 3545, 46421, 979, 1212, 8464, 11, 773, 2506, 1661, 21127, 25785, 1393, 14550, 448, 697, 2618, 4709, 13, 5994, 311, 4845, 323, 15156, 705, 518, 279, 1852, 882, 1817, 1899, 11, 1496, 389, 279, 37002, 13, 13655, 30491, 700, 315, 697, 13829, 773, 279, 3100, 1558, 537, 23973, 697, 6084, 13, 1416, 498, 614, 12264, 15679, 32073, 11, 1430, 264, 42585, 14021, 1573, 88507, 13, 1752, 3110, 11, 1896, 264, 8885, 11, 7027, 264, 64364, 50387, 15243, 11, 476, 8322, 438, 264, 1616, 311, 11967, 323, 5527, 6133, 369, 6084, 624, 18, 13, 44514, 9314, 15298, 13, 576, 3607, 498, 2182, 304, 697, 2487, 1231, 387, 6707, 44436, 11, 714, 432, 748, 5310, 2989, 311, 2820, 3641, 10416, 6133, 979, 14550, 448, 279, 8464, 315, 2618, 4709, 13, 44514, 11260, 315, 25322, 11, 23880, 11, 323, 4361, 40836, 1741, 438, 13876, 19653, 323, 84170, 13, 44514, 1550, 22092, 12833, 8173, 1741, 438, 1562, 375, 71, 13, 34006, 15298, 429, 10173, 697, 19671, 11, 892, 2578, 2924, 13163, 11, 48650, 11, 323, 1550, 5866, 315, 1652, 78529, 476, 43215, 13, 1416, 498, 14651, 448, 18056, 11, 4717, 3123, 504, 48911, 323, 48650, 11, 892, 646, 5263, 18056, 624, 19, 13, 18976, 448, 264, 61375, 13, 362, 61375, 646, 3410, 18821, 323, 1824, 1393, 498, 525, 14550, 448, 697, 2618, 4709, 13, 1752, 3110, 11, 421, 498, 3129, 19962, 448, 1246, 311, 3271, 4637, 476, 3705, 697, 8464, 11, 1490, 264, 41763, 311, 1492, 13, 1416, 498, 1184, 1492, 304, 29140, 1045, 5106, 448, 697, 6931, 11, 2908, 9120, 264, 6931, 61375, 13, 7379, 264, 61375, 553, 8098, 697, 8113, 9109, 476, 279, 14402, 4126, 3143, 498, 13, 1446, 1410, 1083, 1430, 7404, 311, 264, 6931, 61375, 13, 40476, 85247, 646, 1492, 498, 8253, 421, 279, 6931, 498, 614, 374, 279, 1290, 4946, 369, 498, 13, 18765, 419, 374, 458, 6638, 311, 1430, 2494, 770, 4192, 565, 11778, 3019, 4637, 369, 697, 6931, 271, 16, 13, 98881, 1246, 498, 1366, 311, 3271, 4637, 13, 98139, 697, 2618, 2578, 387, 264, 501, 7167, 13, 98881, 3425, 498, 1366, 311, 3060, 304, 697, 6931, 1815, 476, 1281, 1045, 4344, 13, 1446, 2578, 1366, 311, 1896, 697, 6931, 304, 264, 2155, 5106, 476, 728, 1182, 311, 2906, 13, 4695, 374, 697, 6012, 369, 264, 501, 7167, 1265, 498, 1366, 432, 13, 57633, 1128, 498, 1366, 646, 1492, 498, 3796, 369, 6887, 476, 633, 4862, 429, 498, 1184, 369, 264, 2155, 2309, 624, 17, 13, 18877, 9271, 264, 2618, 438, 264, 2618, 13, 7405, 9271, 14402, 697, 2480, 7246, 2618, 13, 1096, 646, 1492, 498, 4717, 26664, 323, 389, 3383, 1393, 1948, 6887, 13, 15623, 705, 697, 1899, 438, 498, 1035, 518, 697, 1537, 2618, 773, 429, 498, 614, 9079, 311, 4583, 11, 57882, 311, 3367, 11, 323, 2155, 7488, 311, 653, 13, 1752, 3110, 11, 8329, 882, 3330, 1526, 2618, 25465, 11, 3259, 4540, 6738, 11, 323, 4378, 14298, 13, 5005, 11, 8329, 697, 13354, 17493, 287, 697, 15688, 11, 3730, 1045, 5290, 476, 26568, 4862, 13, 6040, 1272, 697, 882, 311, 9271, 697, 1790, 2618, 323, 633, 6001, 911, 432, 13, 5145, 553, 44143, 279, 6887, 323, 5110, 498, 525, 8014, 304, 3238, 369, 13, 5005, 1855, 8651, 65213, 369, 1817, 943, 315, 2618, 498, 1035, 1075, 13, 5443, 31859, 5110, 13, 2619, 525, 1657, 92840, 3330, 369, 1251, 311, 5155, 6887, 315, 678, 12829, 678, 916, 279, 1879, 11, 323, 807, 614, 2615, 311, 2618, 31806, 429, 279, 4586, 584, 4157, 2615, 13, 4329, 5110, 1496, 17983, 23242, 1526, 92840, 13, 3216, 11628, 697, 15688, 311, 92840, 323, 2701, 705, 448, 1105, 15502, 11, 498, 646, 5263, 697, 16963, 315, 1660, 6509, 369, 6887, 498, 1231, 537, 387, 7853, 315, 624, 18, 13, 7854, 697, 3081, 480, 7361, 13, 11778, 6846, 429, 646, 1492, 498, 7269, 697, 2562, 7361, 13, 9192, 369, 6846, 518, 697, 2205, 14402, 4126, 11, 6118, 9290, 11, 476, 389, 279, 7602, 13, 479, 2056, 6540, 323, 7361, 429, 22426, 1366, 646, 1492, 498, 633, 264, 2472, 705, 3055, 498, 9318, 697, 15688, 13, 24515, 4862, 646, 1083, 1473, 429, 498, 525, 1482, 304, 697, 7361, 13, 9192, 369, 4862, 429, 6081, 34437, 11, 81471, 11, 476, 1008, 16387, 429, 498, 646, 912, 311, 697, 15688, 369, 11064, 429, 498, 8145, 1105, 13, 3199, 55, 374, 264, 2244, 2530, 369, 1910, 2860, 6846, 11, 323, 807, 3010, 34437, 323, 20141, 13, 19008, 3703, 1110, 2136, 10059, 87, 2659, 75869, 19, 13, 8141, 448, 3800, 304, 697, 2070, 13, 78773, 4357, 11, 37514, 11, 323, 93630, 1380, 498, 646, 3367, 1008, 15387, 323, 22426, 13, 78773, 3367, 8602, 58447, 8841, 15387, 304, 697, 2070, 13, 9192, 705, 2618, 282, 4720, 323, 9417, 6174, 429, 2734, 498, 13, 576, 803, 13234, 498, 614, 11, 279, 2664, 697, 20785, 315, 9271, 279, 2618, 498, 1366, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151644, 8948, 198, 2610, 525, 264, 10950, 17847, 13, 151645, 198, 151644, 872, 198, 4340, 311, 10542, 264, 7055, 93119, 8405, 30, 151645, 198, 151644, 77091, 198, 43487, 5293, 1246, 1251, 330, 82, 43706, 1, 3635, 7211, 315, 7263, 429, 525, 16380, 1632, 30, 3155, 498, 3512, 5775, 421, 807, 525, 330, 7951, 7211, 1, 1075, 807, 3717, 311, 387, 30, 2521, 653, 498, 5775, 421, 807, 2299, 1101, 7055, 93119, 7211, 30, 16936, 93119, 7211, 525, 4512, 438, 9833, 7211, 879, 614, 6839, 902, 3267, 31783, 311, 264, 2083, 11, 323, 879, 1172, 1824, 1105, 979, 807, 525, 3730, 1632, 13, 5976, 1251, 1231, 537, 16698, 311, 1660, 7055, 93119, 7211, 11, 1052, 525, 4135, 5510, 311, 7702, 1105, 382, 565, 32149, 311, 1128, 807, 1977, 271, 16, 13, 3496, 421, 807, 1414, 279, 5570, 13, 3007, 7211, 315, 264, 2083, 686, 1414, 279, 5036, 315, 803, 1091, 1101, 279, 6774, 2781, 389, 279, 2083, 13, 3496, 421, 807, 1414, 1008, 4217, 11, 23956, 11, 7824, 11, 323, 4741, 4217, 13, 1096, 686, 1492, 8253, 421, 807, 614, 894, 31783, 6974, 279, 2083, 13, 57633, 279, 1486, 75070, 374, 2244, 13, 1988, 264, 830, 8405, 3880, 311, 1414, 803, 1091, 279, 15183, 4217, 13, 2379, 1184, 311, 1414, 1128, 594, 2087, 389, 389, 2176, 11067, 315, 279, 4935, 13, 2806, 1449, 8405, 11017, 1128, 5780, 389, 4815, 279, 16065, 773, 3931, 1105, 1045, 45619, 421, 807, 1513, 944, 1414, 279, 28603, 28894, 476, 279, 23601, 9960, 21895, 624, 17, 13, 29901, 421, 807, 1414, 13142, 13, 57633, 13142, 4990, 2176, 882, 323, 5041, 13, 3155, 807, 1414, 279, 5461, 1372, 315, 3501, 16548, 817, 1809, 30, 3155, 807, 1414, 1380, 279, 2083, 20803, 1007, 26916, 323, 81980, 30, 3007, 7211, 2677, 1477, 5510, 311, 3754, 279, 5098, 315, 862, 6930, 2083, 13, 10964, 6540, 1265, 728, 7797, 10472, 369, 279, 6774, 2781, 476, 279, 2083, 594, 3255, 13, 2379, 1265, 387, 2952, 311, 4263, 279, 7263, 2639, 438, 421, 807, 1033, 62494, 369, 26198, 11, 1576, 432, 374, 2176, 38219, 323, 29211, 369, 1931, 7211, 624, 18, 13, 3496, 421, 807, 1414, 894, 13656, 1995, 911, 279, 2083, 13, 1084, 594, 4135, 311, 1414, 911, 264, 2083, 594, 1482, 5098, 11, 714, 432, 594, 803, 5000, 311, 1414, 911, 279, 3840, 315, 264, 2083, 13, 362, 8405, 879, 702, 1012, 28847, 369, 1635, 686, 1414, 3267, 4217, 11, 21553, 1635, 11, 323, 5089, 3868, 13, 8999, 7211, 686, 1083, 614, 4345, 7343, 5815, 448, 279, 2083, 13, 1752, 3110, 11, 807, 3278, 1414, 6896, 1380, 807, 1033, 979, 279, 16003, 60900, 2765, 1182, 4686, 15461, 58184, 304, 220, 16, 24, 24, 19, 323, 220, 16, 24, 24, 20, 13, 8999, 7055, 93119, 7211, 1172, 1795, 7263, 879, 614, 1012, 6849, 916, 279, 1537, 2421, 1635, 323, 686, 537, 1414, 3840, 429, 49599, 7797, 279, 2083, 594, 1482, 10987, 29214, 624, 19, 13, 4504, 1246, 1657, 7263, 807, 1824, 13, 36965, 7211, 5990, 21749, 862, 31783, 4221, 803, 1091, 825, 2083, 13, 576, 803, 7263, 807, 1824, 11, 279, 2686, 315, 264, 830, 8405, 807, 525, 13, 76251, 264, 6930, 9833, 2083, 374, 1075, 18774, 264, 7403, 313, 9330, 646, 1172, 614, 825, 13, 758, 2155, 9833, 11, 1052, 525, 5601, 911, 7263, 498, 4157, 1824, 518, 279, 1852, 882, 13, 1752, 3110, 11, 304, 19507, 11, 498, 646, 944, 3704, 369, 2176, 279, 44283, 323, 279, 56435, 13, 758, 8964, 11, 498, 646, 944, 25032, 369, 2176, 279, 52691, 323, 279, 40305, 624, 20, 13, 32149, 311, 862, 7966, 369, 12613, 279, 2083, 13, 7496, 315, 279, 882, 31783, 311, 264, 2083, 374, 10838, 553, 1380, 498, 13938, 705, 476, 279, 2781, 498, 47914, 1506, 7826, 705, 13, 16936, 93119, 7211, 5990, 614, 1320, 5742, 88, 54486, 369, 3170, 807, 1824, 264, 2083, 13, 1752, 3110, 11, 7966, 1741, 438, 48737, 279, 2083, 12426, 11, 3432, 264, 25838, 476, 22761, 429, 11554, 279, 2083, 11, 476, 21132, 279, 2083, 525, 537, 30428, 7966, 13, 1416, 697, 6930, 2083, 74295, 973, 311, 264, 2155, 3283, 1221, 432, 374, 697, 5754, 311, 2484, 1182, 389, 1105, 476, 537, 13, 1416, 498, 13938, 705, 304, 264, 3283, 429, 3207, 944, 614, 264, 2083, 369, 264, 3151, 10552, 11, 498, 2299, 1221, 2952, 311, 3735, 264, 2083, 320, 4197, 1661, 2874, 315, 3308, 568, 1416, 697, 2083, 9583, 5221, 264, 501, 19024, 11, 432, 374, 697, 5754, 311, 9214, 448, 697, 1482, 2083, 11, 476, 1191, 311, 1795, 279, 501, 825, 624, 21, 13, 3496, 421, 807, 1172, 1824, 279, 1850, 7263, 304, 279, 10734, 13, 1416, 279, 8405, 1172, 11554, 279, 671, 16, 7263, 304, 8964, 11, 19507, 11, 19240, 11, 22174, 476, 1008, 3598, 10734, 9833, 11, 807, 525, 4363, 537, 12613, 279, 2083, 714, 12613, 279, 10987, 29214, 13, 2619, 686, 387, 3039, 979, 697, 6930, 2083, 686, 20699, 387, 6849, 11, 714, 432, 594, 264, 14888, 24844, 979, 13097, 315, 279, 7263, 498, 1824, 525, 3730, 1632, 13, 1752, 3110, 11, 432, 594, 13942, 21555, 311, 1824, 279, 1532, 9448, 32517, 323, 862, 2393, 13, 1988, 311, 1824, 1105, 11, 279, 10196, 3731, 38545, 11, 279, 17809, 3234, 31887, 11, 323, 279, 6515, 94284, 518, 279, 1852, 882, 374, 264, 1841, 315, 1660, 264, 7055, 93119, 8405, 4192, 565, 10357, 1128, 807, 653, 271, 16, 13, 24742, 421, 807, 728, 311, 3868, 1172, 979, 279, 2083, 374, 6849, 13, 1084, 594, 5000, 311, 1824, 264, 2083, 979, 807, 525, 304, 264, 85728, 11, 714, 1931, 7211, 653, 1101, 429, 13, 7418, 421, 264, 1931, 8405, 67147, 862, 2083, 11, 807, 525, 1052, 311, 1824, 1105, 279, 1790, 1809, 13, 16936, 93119, 7211, 7784, 1007, 279, 60419, 518, 279, 1156, 1841, 315, 12264, 13, 34871, 311, 264, 1809, 4990, 803, 5041, 323, 803, 3220, 13, 16936, 93119, 7211, 1513, 944, 1366, 311, 2725, 2987, 421, 279, 2083, 4436, 944, 3730, 1632, 13, 576, 1852, 374, 830, 315, 10099, 3868, 389, 12425, 624, 17, 13, 20437, 3170, 807, 5274, 279, 1809, 4124, 13, 3007, 7211, 4717, 518, 264, 1809, 3080, 279, 25180, 835, 313, 16788, 421, 807, 1414, 279, 1102, 686, 387, 2686, 1091, 34846, 13, 1913, 279, 1008, 1424, 11, 7055, 93119, 7211, 8376, 311, 4227, 700, 323, 2936, 10004, 1824, 311, 279, 2083, 13, 16936, 93119, 7211, 3545, 3116, 700, 389, 1045, 315, 279, 1850, 2525, 24113, 304, 9833, 1576, 807, 5157, 311, 4227, 700, 2337, 11045, 3039, 13, 1752, 3110, 11, 304, 279, 220, 17, 15, 16, 18, 17390, 45047, 304, 1809, 4743, 979, 279, 17584, 26070, 1033, 1495, 2348, 279, 5836, 22437, 45042, 11, 7211, 2115, 4124, 323, 13628, 700, 389, 264, 46537, 13, 7281, 11, 304, 279, 47205, 18621, 4050, 1948, 279, 7840, 9154, 43528, 323, 16355, 44926, 11, 807, 96071, 773, 7211, 2115, 279, 1809, 4124, 323, 13628, 700, 389, 458, 7897, 389, 2929, 10323, 13351, 311, 9583, 3164, 279, 1809, 323, 728, 311, 7297, 20288, 29881, 5396, 624, 18, 13, 29901, 421, 807, 728, 311, 3887, 3868, 13, 1416, 498, 1513, 944, 25032, 369, 279, 2083, 304, 279, 3082, 498, 13938, 705, 304, 11, 304, 4694, 315, 264, 2083, 3041, 3123, 11, 429, 594, 825, 3166, 13, 1988, 830, 7211, 2058, 728, 311, 3887, 34927, 4357, 369, 279, 3139, 315, 1660, 2163, 1075, 33323, 11, 24425, 7775, 13, 16936, 93119, 7211, 1513, 944, 897, 279, 3139, 1576, 807, 7629, 944, 438, 37583, 27991, 438, 1931, 7211, 13, 7418, 421, 432, 3363, 1411, 2317, 279, 9255, 476, 12515, 369, 916, 84737, 12883, 11, 1931, 7211, 686, 1430, 311, 9417, 518, 3245, 825, 1809, 2337, 279, 3200, 13, 4329, 7055, 93119, 7211, 686, 9417, 264, 1809, 476, 1378, 1101, 311, 387, 2952, 311, 1977, 429, 807, 614, 13, 2379, 525, 17367, 311, 9417, 3868, 429, 7629, 944, 16710, 13, 1752, 3110, 11, 979, 279, 9104, 374, 3873, 11, 979, 279, 14403, 525, 2238, 78362, 11, 476, 979, 279, 1809, 17066, 389, 264, 975, 1292, 624, 19, 13, 3496, 421, 807, 1824, 279, 2083, 1172, 2337, 30755, 13, 1096, 702, 264, 2699, 311, 653, 448, 279, 2083, 1660, 6849, 11, 714, 432, 1083, 702, 311, 653, 448, 279, 12650, 315, 279, 1809, 13, 28800, 15584, 304, 9833, 8376, 311, 387, 1293, 323, 1081, 78997, 11, 773, 7055, 93119, 7211, 1075, 311, 10706, 279, 5792, 3200, 3868, 323, 7784, 1290, 311, 279, 1661, 949, 13, 94113, 3868, 12170, 1283, 279, 5792, 3200, 323, 525, 16129, 1707, 3868, 429, 2990, 705, 311, 279, 21553, 13, 7054, 32483, 1083, 4446, 700, 7055, 93119, 7211, 6693, 330, 3896, 5754, 1, 3207, 944, 1281, 279, 30755, 13, 758, 1973, 311, 614, 4325, 311, 3704, 369, 11, 807, 686, 5157, 264, 2083, 26618, 323, 1172, 369, 429, 3200, 624, 20, 13, 29901, 421, 807, 7784, 1007, 279, 60419, 13, 1096, 374, 1083, 3881, 438, 53807, 4671, 304, 862, 1824, 315, 279, 2083, 13, 1416, 264, 8405, 17933, 12613, 862, 2083, 421, 807, 9052, 264, 19380, 1809, 11, 21553, 1809, 11, 476, 1513, 944, 1281, 279, 30755, 518, 678, 11, 807, 2299, 86619, 7709, 12966, 448, 429, 315, 264, 7055, 93119, 8405, 4192, 565, 64547, 264, 830, 8405, 271, 16, 13, 3496, 421, 807, 1828, 264, 2510, 1419, 36112, 13, 362, 2510, 1419, 36112, 374, 825, 429, 42328, 264, 36112, 23704, 553, 264, 2083, 476, 2781, 504, 279, 3267, 13, 8800, 7211, 8376, 311, 7627, 2510, 1419, 53051, 320, 38293, 3108, 803, 6481, 9833, 14448, 8, 1576, 807, 3520, 1414, 279, 3840, 315, 279, 2083, 323, 1181, 4217, 13, 1913, 279, 25047, 11, 7055, 93119, 7211, 11136, 7627, 2083, 14448, 429, 10868, 279, 803, 6481, 49019, 11, 7987, 11, 323, 4217, 13, 3007, 7211, 525, 1083, 803, 4363, 311, 8329, 2409, 47334, 389, 2083, 14448, 323, 2510, 24113, 525, 5990, 803, 13210, 323, 33248, 624, 17, 13, 24742, 421, 807, 3512, 46270, 862, 2083, 13, 3007, 7211, 686, 2581, 46270, 862, 2083, 1576, 807, 525, 4460, 311, 30640, 1105, 11, 537, 1281, 1105, 2666, 10960, 13, 1084, 594, 16910, 311, 387, 18514, 448, 264, 2686, 1091, 4727, 5068, 11, 714, 3259, 697, 2083, 2666, 1075, 22854, 2765, 944, 1492, 13, 8800, 7211, 9214, 448, 862, 2083, 369, 2664, 476, 369, 10960, 624, 18, 13, 29901, 421, 807, 1824, 862, 2083, 594, 4217, 803, 1091, 894, 3800, 13, 362, 830, 8405, 594, 31783, 374, 2677, 311, 806, 476, 1059, 2083, 1156, 13, 2938, 3171, 944, 3076, 429, 807, 646, 944, 1824, 476, 1075, 1008, 4217, 11, 714, 432, 1558, 3076, 429, 862, 31783, 15448, 448, 862, 2083, 594, 4217, 1156, 13, 1752, 3110, 11, 432, 594, 6915, 311, 15401, 2244, 4217, 1075, 85456, 39523, 714, 421, 498, 2299, 264, 1532, 9448, 32517, 8405, 498, 1824, 8364, 35370, 1156, 13, 22406, 11, 421, 498, 614, 4217, 879, 525, 389, 697, 18378, 8964, 2083, 714, 525, 537, 389, 697, 6930, 8964, 2083, 11, 498, 646, 1824, 1105, 1172, 438, 3041, 438, 432, 3171, 944, 39878, 448, 697, 6930, 2083, 594, 2393, 624, 151645, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]