Datasets:
Dmitriy007
/
Lenta_2

Dataset card Viewer Files Community
1
input_ids
sequencelengths
1.05k
1.05k
attention_mask
sequencelengths
1.05k
1.05k
labels
sequencelengths
1.05k
1.05k
[ 87, 1456, 81, 2448, 30, 6889, 2975, 18623, 416, 6101, 5781, 16586, 1275, 16, 961, 3631, 530, 309, 14097, 292, 282, 378, 21541, 283, 292, 4172, 424, 13550, 15296, 39790, 282, 5271, 4966, 478, 630, 8596, 933, 27411, 291, 411, 1175, 910, 29053, 309, 21783, 282, 22481, 16586, 778, 11285, 473, 7641, 684, 814, 31224, 30, 630, 13451, 451, 40024, 483, 4961, 7342, 1175, 18946, 282, 22481, 16586, 778, 11285, 309, 21783, 4871, 18623, 416, 6101, 5781, 16586, 1275, 16, 961, 8070, 23683, 309, 14097, 292, 282, 378, 21541, 283, 292, 4172, 424, 13550, 15296, 39790, 18, 2877, 11550, 684, 14204, 266, 40024, 10145, 309, 23758, 14857, 16, 6489, 6279, 11285, 304, 4419, 18, 1787, 5781, 16586, 1275, 16, 961, 371, 27219, 282, 1614, 14137, 2839, 29134, 428, 478, 630, 8596, 1133, 4477, 23249, 411, 1175, 910, 5092, 7893, 1817, 20785, 541, 6101, 18, 996, 16, 2920, 3491, 8270, 2959, 478, 16453, 55, 470, 2879, 953, 8356, 798, 309, 40024, 13770, 309, 478, 51, 19789, 910, 367, 4226, 1694, 478, 54, 6743, 1831, 470, 309, 5492, 895, 25208, 12668, 478, 51, 20080, 658, 776, 1418, 716, 3838, 1806, 22161, 861, 967, 803, 4162, 34381, 354, 541, 29721, 1943, 953, 39232, 286, 15695, 478, 54, 6743, 1831, 910, 367, 583, 588, 312, 8457, 1943, 953, 48183, 309, 18316, 6718, 289, 4816, 953, 9823, 3432, 3276, 289, 1942, 331, 1703, 18, 640, 43035, 2141, 289, 309, 40024, 13770, 282, 4810, 2955, 3836, 8280, 451, 8408, 478, 56, 73, 866, 22161, 910, 367, 309, 5492, 16586, 1275, 1698, 25208, 1176, 670, 1272, 5244, 15185, 30396, 16, 961, 371, 803, 322, 2125, 6380, 5559, 282, 12632, 2553, 282, 39814, 6101, 18, 1303, 481, 7832, 437, 1514, 31870, 7583, 27940, 16, 6895, 45593, 289, 20526, 1562, 16, 367, 3591, 16468, 40024, 13770, 4816, 6886, 21783, 8424, 22026, 16586, 718, 7920, 18, 22568, 16, 371, 1754, 10933, 32752, 322, 1698, 3836, 40024, 10145, 7342, 2553, 16, 726, 18092, 294, 4525, 6086, 541, 2808, 8596, 1275, 16, 961, 12219, 23258, 5643, 20791, 294, 11468, 11720, 23842, 282, 13550, 41042, 31964, 18, 415, 7339, 4163, 16, 281, 6133, 3711, 34468, 17234, 11471, 395, 16, 4848, 2615, 9541, 17, 22079, 11468, 8596, 718, 7920, 1175, 473, 15163, 730, 13, 8973, 472, 362, 523, 18, 478, 6039, 5693, 898, 11916, 1007, 282, 11130, 16, 1612, 639, 2950, 510, 656, 898, 41713, 282, 34387, 2644, 16, 2125, 898, 349, 21951, 808, 15910, 4769, 16, 1586, 23737, 373, 13979, 421, 15163, 16, 510, 7332, 1694, 33811, 10027, 8818, 18, 510, 608, 813, 322, 639, 1612, 374, 17, 299, 1781, 319, 16, 656, 477, 2411, 4220, 5071, 7923, 664, 291, 6464, 887, 16, 19480, 26923, 2127, 4769, 16, 22342, 414, 722, 18, 1253, 322, 47510, 14560, 454, 2759, 2553, 16, 309, 1420, 1003, 1421, 273, 1412, 287, 18, 27258, 267, 6328, 726, 28003, 282, 1335, 5492, 309, 23258, 4568, 2411, 2662, 861, 7106, 16, 374, 309, 21741, 16702, 282, 378, 21541, 283, 292, 4172, 334, 15166, 22026, 16586, 718, 7920, 10933, 32752, 8070, 23683, 687, 282, 13550, 41042, 31964, 478, 303, 406, 7608, 933, 27411, 291, 411, 1175, 861, 640, 3453, 43035, 424, 4092, 496, 1747, 10933, 12632, 289, 46267, 16, 367, 11471, 395, 2955, 840, 45417, 1423, 8362, 16, 22422, 28022, 46267, 367, 17, 343, 8139, 332, 289, 935, 11428, 30375, 1423, 34154, 37128, 282, 5174, 292, 282, 36539, 18, 4756, 11550, 684, 15885, 22529, 17854, 16, 424, 3279, 1747, 17884, 10933, 32752, 282, 378, 21541, 283, 292, 4172, 18, 889, 11297, 3098, 282, 20717, 568, 4639, 16, 3960, 2024, 20719, 9921, 478, 51, 20080, 658, 776, 1418, 716, 3838, 1806, 22161, 861, 7106, 16, 374, 1939, 3972, 22481, 2808, 8596, 778, 11285, 1103, 9572, 23220, 468, 11468, 8596, 718, 7920, 1175, 16, 289, 1055, 10480, 16, 8070, 520, 32752, 17, 3446, 8596, 873, 411, 1175, 5134, 3455, 282, 14097, 292, 282, 378, 21541, 283, 292, 4172, 16, 961, 18222, 282, 11500, 1011, 36082, 18, 365, 5734, 2083, 10933, 2808, 8596, 873, 282, 6566, 32771, 7928, 411, 10096, 473, 1018, 675, 16, 43804, 50167, 16, 33083, 2221, 289, 13464, 643, 5551, 13, 21440, 1007, 519, 32626, 2466, 19702, 282, 13550, 41042, 31964, 16, 2686, 935, 15230, 7850, 399, 343, 4568, 9427, 31892, 322, 27415, 773, 30305, 282, 1614, 14137, 2839, 29134, 18, 41789, 6839, 3003, 290, 46811, 23969, 730, 282, 19078, 289, 4369, 2557, 5781, 21658, 309, 11468, 11720, 29149, 421, 15163, 11834, 687, 282, 2343, 3612, 309, 3177, 42889, 11073, 18, 478, 46937, 16, 2393, 2553, 1139, 6696, 31911, 1143, 40203, 289, 30849, 6178, 1190, 6213, 16, 17985, 2636, 11854, 18, 365, 3371, 304, 48421, 475, 773, 15373, 27302, 16, 289, 309, 19650, 6795, 24468, 5907, 3400, 2044, 18, 439, 282, 2808, 8596, 933, 23130, 7155, 16, 374, 475, 19650, 282, 5344, 16576, 467, 9807, 289, 3771, 16, 510, 9321, 10344, 9680, 7342, 1175, 334, 43167, 266, 6216, 309, 21010, 6784, 10261, 4377, 8053, 18, 510, 9807, 873, 2805, 43846, 282, 29051, 32771, 16, 367, 656, 282, 30881, 18, 12431, 539, 33215, 27072, 8471, 13357, 2175, 30, 4317, 9, 510, 3771, 16, 4317, 9, 510, 9807, 16, 289, 6247, 1939, 28496, 484, 1251, 2555, 17986, 18, 1345, 5548, 13473, 281, 7561, 2422, 334, 43167, 266, 6216, 309, 21010, 6784, 281, 2706, 1962, 45133, 18, 459, 2174, 575, 9405, 3400, 27072, 21536, 2625, 2808, 8596, 873, 282, 30881, 32771, 18, 1735, 289, 5869, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 47776, 769, 2646, 561, 39640, 550, 2307, 510, 20307, 266, 5439, 334, 36265, 289, 1176, 411, 25315, 2477, 32435, 24297, 346, 7043, 510, 25256, 1211, 6153, 5862, 4211, 282, 1175, 18, 24295, 8185, 8709, 48686, 341, 2418, 6814, 289, 32033, 2768, 309, 26476, 11400, 16, 49857, 289, 282, 23303, 22650, 657, 18, 5403, 5681, 1692, 1082, 2241, 2458, 15429, 11400, 37159, 289, 26942, 2660, 486, 15921, 470, 282, 14109, 18, 1540, 1246, 296, 15617, 594, 297, 307, 2712, 411, 17, 431, 12142, 282, 7044, 289, 29978, 1087, 6838, 523, 282, 1175, 16, 42538, 8527, 1262, 18, 31224, 30, 1464, 4596, 8291, 778, 7065, 769, 2646, 561, 39640, 550, 2307, 16, 20307, 266, 7179, 5439, 334, 36265, 16, 25256, 1211, 6153, 5862, 4211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 87, 1456, 81, 2448, 30, 6889, 2975, 18623, 416, 6101, 5781, 16586, 1275, 16, 961, 3631, 530, 309, 14097, 292, 282, 378, 21541, 283, 292, 4172, 424, 13550, 15296, 39790, 282, 5271, 4966, 478, 630, 8596, 933, 27411, 291, 411, 1175, 910, 29053, 309, 21783, 282, 22481, 16586, 778, 11285, 473, 7641, 684, 814, 31224, 30, 630, 13451, 451, 40024, 483, 4961, 7342, 1175, 18946, 282, 22481, 16586, 778, 11285, 309, 21783, 4871, 18623, 416, 6101, 5781, 16586, 1275, 16, 961, 8070, 23683, 309, 14097, 292, 282, 378, 21541, 283, 292, 4172, 424, 13550, 15296, 39790, 18, 2877, 11550, 684, 14204, 266, 40024, 10145, 309, 23758, 14857, 16, 6489, 6279, 11285, 304, 4419, 18, 1787, 5781, 16586, 1275, 16, 961, 371, 27219, 282, 1614, 14137, 2839, 29134, 428, 478, 630, 8596, 1133, 4477, 23249, 411, 1175, 910, 5092, 7893, 1817, 20785, 541, 6101, 18, 996, 16, 2920, 3491, 8270, 2959, 478, 16453, 55, 470, 2879, 953, 8356, 798, 309, 40024, 13770, 309, 478, 51, 19789, 910, 367, 4226, 1694, 478, 54, 6743, 1831, 470, 309, 5492, 895, 25208, 12668, 478, 51, 20080, 658, 776, 1418, 716, 3838, 1806, 22161, 861, 967, 803, 4162, 34381, 354, 541, 29721, 1943, 953, 39232, 286, 15695, 478, 54, 6743, 1831, 910, 367, 583, 588, 312, 8457, 1943, 953, 48183, 309, 18316, 6718, 289, 4816, 953, 9823, 3432, 3276, 289, 1942, 331, 1703, 18, 640, 43035, 2141, 289, 309, 40024, 13770, 282, 4810, 2955, 3836, 8280, 451, 8408, 478, 56, 73, 866, 22161, 910, 367, 309, 5492, 16586, 1275, 1698, 25208, 1176, 670, 1272, 5244, 15185, 30396, 16, 961, 371, 803, 322, 2125, 6380, 5559, 282, 12632, 2553, 282, 39814, 6101, 18, 1303, 481, 7832, 437, 1514, 31870, 7583, 27940, 16, 6895, 45593, 289, 20526, 1562, 16, 367, 3591, 16468, 40024, 13770, 4816, 6886, 21783, 8424, 22026, 16586, 718, 7920, 18, 22568, 16, 371, 1754, 10933, 32752, 322, 1698, 3836, 40024, 10145, 7342, 2553, 16, 726, 18092, 294, 4525, 6086, 541, 2808, 8596, 1275, 16, 961, 12219, 23258, 5643, 20791, 294, 11468, 11720, 23842, 282, 13550, 41042, 31964, 18, 415, 7339, 4163, 16, 281, 6133, 3711, 34468, 17234, 11471, 395, 16, 4848, 2615, 9541, 17, 22079, 11468, 8596, 718, 7920, 1175, 473, 15163, 730, 13, 8973, 472, 362, 523, 18, 478, 6039, 5693, 898, 11916, 1007, 282, 11130, 16, 1612, 639, 2950, 510, 656, 898, 41713, 282, 34387, 2644, 16, 2125, 898, 349, 21951, 808, 15910, 4769, 16, 1586, 23737, 373, 13979, 421, 15163, 16, 510, 7332, 1694, 33811, 10027, 8818, 18, 510, 608, 813, 322, 639, 1612, 374, 17, 299, 1781, 319, 16, 656, 477, 2411, 4220, 5071, 7923, 664, 291, 6464, 887, 16, 19480, 26923, 2127, 4769, 16, 22342, 414, 722, 18, 1253, 322, 47510, 14560, 454, 2759, 2553, 16, 309, 1420, 1003, 1421, 273, 1412, 287, 18, 27258, 267, 6328, 726, 28003, 282, 1335, 5492, 309, 23258, 4568, 2411, 2662, 861, 7106, 16, 374, 309, 21741, 16702, 282, 378, 21541, 283, 292, 4172, 334, 15166, 22026, 16586, 718, 7920, 10933, 32752, 8070, 23683, 687, 282, 13550, 41042, 31964, 478, 303, 406, 7608, 933, 27411, 291, 411, 1175, 861, 640, 3453, 43035, 424, 4092, 496, 1747, 10933, 12632, 289, 46267, 16, 367, 11471, 395, 2955, 840, 45417, 1423, 8362, 16, 22422, 28022, 46267, 367, 17, 343, 8139, 332, 289, 935, 11428, 30375, 1423, 34154, 37128, 282, 5174, 292, 282, 36539, 18, 4756, 11550, 684, 15885, 22529, 17854, 16, 424, 3279, 1747, 17884, 10933, 32752, 282, 378, 21541, 283, 292, 4172, 18, 889, 11297, 3098, 282, 20717, 568, 4639, 16, 3960, 2024, 20719, 9921, 478, 51, 20080, 658, 776, 1418, 716, 3838, 1806, 22161, 861, 7106, 16, 374, 1939, 3972, 22481, 2808, 8596, 778, 11285, 1103, 9572, 23220, 468, 11468, 8596, 718, 7920, 1175, 16, 289, 1055, 10480, 16, 8070, 520, 32752, 17, 3446, 8596, 873, 411, 1175, 5134, 3455, 282, 14097, 292, 282, 378, 21541, 283, 292, 4172, 16, 961, 18222, 282, 11500, 1011, 36082, 18, 365, 5734, 2083, 10933, 2808, 8596, 873, 282, 6566, 32771, 7928, 411, 10096, 473, 1018, 675, 16, 43804, 50167, 16, 33083, 2221, 289, 13464, 643, 5551, 13, 21440, 1007, 519, 32626, 2466, 19702, 282, 13550, 41042, 31964, 16, 2686, 935, 15230, 7850, 399, 343, 4568, 9427, 31892, 322, 27415, 773, 30305, 282, 1614, 14137, 2839, 29134, 18, 41789, 6839, 3003, 290, 46811, 23969, 730, 282, 19078, 289, 4369, 2557, 5781, 21658, 309, 11468, 11720, 29149, 421, 15163, 11834, 687, 282, 2343, 3612, 309, 3177, 42889, 11073, 18, 478, 46937, 16, 2393, 2553, 1139, 6696, 31911, 1143, 40203, 289, 30849, 6178, 1190, 6213, 16, 17985, 2636, 11854, 18, 365, 3371, 304, 48421, 475, 773, 15373, 27302, 16, 289, 309, 19650, 6795, 24468, 5907, 3400, 2044, 18, 439, 282, 2808, 8596, 933, 23130, 7155, 16, 374, 475, 19650, 282, 5344, 16576, 467, 9807, 289, 3771, 16, 510, 9321, 10344, 9680, 7342, 1175, 334, 43167, 266, 6216, 309, 21010, 6784, 10261, 4377, 8053, 18, 510, 9807, 873, 2805, 43846, 282, 29051, 32771, 16, 367, 656, 282, 30881, 18, 12431, 539, 33215, 27072, 8471, 13357, 2175, 30, 4317, 9, 510, 3771, 16, 4317, 9, 510, 9807, 16, 289, 6247, 1939, 28496, 484, 1251, 2555, 17986, 18, 1345, 5548, 13473, 281, 7561, 2422, 334, 43167, 266, 6216, 309, 21010, 6784, 281, 2706, 1962, 45133, 18, 459, 2174, 575, 9405, 3400, 27072, 21536, 2625, 2808, 8596, 873, 282, 30881, 32771, 18, 1735, 289, 5869, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 47776, 769, 2646, 561, 39640, 550, 2307, 510, 20307, 266, 5439, 334, 36265, 289, 1176, 411, 25315, 2477, 32435, 24297, 346, 7043, 510, 25256, 1211, 6153, 5862, 4211, 282, 1175, 18, 24295, 8185, 8709, 48686, 341, 2418, 6814, 289, 32033, 2768, 309, 26476, 11400, 16, 49857, 289, 282, 23303, 22650, 657, 18, 5403, 5681, 1692, 1082, 2241, 2458, 15429, 11400, 37159, 289, 26942, 2660, 486, 15921, 470, 282, 14109, 18, 1540, 1246, 296, 15617, 594, 297, 307, 2712, 411, 17, 431, 12142, 282, 7044, 289, 29978, 1087, 6838, 523, 282, 1175, 16, 42538, 8527, 1262, 18, 31224, 30, 1464, 4596, 8291, 778, 7065, 769, 2646, 561, 39640, 550, 2307, 16, 20307, 266, 7179, 5439, 334, 36265, 16, 25256, 1211, 6153, 5862, 4211 ]
[ 282, 1175, 16, 4848, 478, 46088, 18, 8381, 470, 7897, 282, 20172, 18, 478, 15883, 19645, 24382, 16, 374, 2513, 1812, 6153, 5862, 4211, 282, 1175, 910, 510, 2548, 492, 18, 23302, 16, 1078, 3595, 349, 2630, 281, 1087, 2676, 33415, 16, 1747, 5245, 2768, 411, 23455, 18, 18678, 432, 6814, 478, 44451, 9973, 309, 2019, 910, 5692, 7897, 18, 19971, 22207, 46561, 15099, 282, 15243, 20165, 24560, 2418, 7987, 18, 478, 4441, 4289, 6228, 24562, 282, 36798, 20352, 8709, 1011, 12142, 5049, 779, 910, 510, 10050, 14331, 8709, 16, 3116, 7892, 16, 374, 478, 609, 5384, 26899, 6406, 861, 365, 13588, 19602, 375, 1484, 769, 2646, 561, 39640, 550, 2307, 6495, 271, 7517, 5643, 6196, 16, 45192, 6310, 45749, 289, 11977, 2005, 16, 41451, 2241, 294, 35424, 536, 15429, 277, 11400, 309, 21767, 289, 294, 2671, 2977, 49857, 18, 478, 4348, 47846, 590, 22978, 454, 32873, 9269, 7321, 282, 5118, 281, 16296, 6150, 25237, 16, 10366, 345, 6946, 15287, 309, 22142, 3302, 24643, 18, 769, 2646, 561, 39640, 550, 2307, 31851, 26267, 622, 2200, 20038, 282, 1175, 910, 510, 6442, 282, 3781, 17, 12495, 769, 2646, 561, 39640, 550, 2307, 18, 478, 4441, 322, 6411, 18412, 17805, 294, 1175, 16, 367, 1623, 15774, 323, 334, 32084, 411, 868, 10484, 18, 20439, 9280, 6153, 1519, 282, 6551, 428, 39676, 8275, 910, 510, 11661, 7897, 282, 19862, 6744, 763, 8709, 18, 365, 1175, 385, 2646, 561, 39640, 550, 2307, 31851, 1421, 7469, 1810, 30, 35007, 1069, 5613, 16, 28356, 5613, 289, 23303, 22650, 657, 510, 5248, 2837, 16495, 8334, 15204, 8138, 18, 1540, 2074, 5862, 37869, 769, 2646, 561, 39640, 550, 2307, 18037, 2768, 282, 10507, 1045, 289, 4374, 329, 31331, 291, 978, 7043, 282, 1175, 18, 6831, 7426, 26821, 2241, 8967, 3043, 9393, 309, 15243, 680, 21767, 11400, 37159, 289, 478, 47067, 15921, 861, 9668, 769, 2646, 561, 39640, 550, 2307, 282, 1175, 25856, 768, 18385, 1496, 31851, 1423, 8892, 289, 5702, 282, 3507, 18, 415, 1961, 12171, 8527, 1262, 15833, 13029, 1979, 8468, 541, 46561, 7321, 282, 5329, 30, 48492, 3400, 26326, 883, 289, 11977, 9393, 16, 8275, 21490, 51, 6601, 18, 365, 1175, 6295, 14482, 5432, 8972, 2206, 281, 28737, 289, 22489, 363, 635, 18, 478, 789, 945, 617, 282, 7044, 1038, 1698, 7869, 294, 11447, 3707, 360, 7634, 9302, 432, 22240, 289, 21030, 14369, 1608, 6271, 477, 1963, 13269, 6802, 910, 510, 5130, 282, 10940, 263, 1770, 22471, 16, 5389, 6238, 24201, 277, 3281, 43935, 15397, 282, 3734, 1045, 18, 478, 4670, 8040, 17886, 42236, 3281, 6059, 28872, 478, 660, 1645, 470, 282, 1175, 1747, 2245, 1954, 670, 2513, 1954, 18, 4338, 16, 3848, 1223, 16, 978, 25385, 322, 840, 18, 44323, 847, 520, 282, 11671, 1045, 35, 8269, 16, 374, 1003, 18, 439, 1215, 282, 2801, 1045, 481, 1033, 7260, 910, 510, 3153, 3720, 44788, 483, 16, 477, 42481, 574, 715, 1890, 70, 5763, 769, 45, 38, 16, 282, 7337, 478, 46088, 18, 8381, 861, 8932, 26790, 6357, 48953, 2241, 478, 49938, 1846, 7838, 470, 4944, 421, 291, 11701, 12016, 16, 374, 478, 32804, 1633, 297, 19015, 47504, 4364, 349, 939, 6228, 3871, 27976, 473, 348, 4594, 2235, 8334, 8138, 18, 510, 478, 18386, 18, 8381, 9979, 477, 22489, 363, 635, 289, 28737, 861, 478, 3743, 769, 2646, 561, 39640, 550, 2307, 2002, 322, 685, 21340, 282, 1175, 334, 13588, 296, 15617, 272, 18, 1178, 3785, 322, 14007, 289, 322, 5222, 16, 502, 1381, 2988, 590, 34680, 6149, 309, 33041, 3871, 27976, 473, 8665, 14850, 18, 510, 478, 18386, 18, 8381, 12235, 2988, 13761, 411, 4466, 18, 3647, 22918, 783, 309, 6228, 3871, 27976, 478, 730, 286, 1792, 19240, 910, 1029, 40285, 685, 35201, 16, 32026, 281, 1498, 6349, 516, 20011, 1624, 329, 8709, 33599, 473, 375, 2074, 5862, 4211, 18, 510, 478, 18386, 18, 8381, 9979, 1320, 9600, 1844, 4466, 910, 510, 3973, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9805, 26834, 8874, 478, 563, 310, 791, 470, 11719, 37827, 1633, 382, 334, 39772, 11088, 47432, 3583, 510, 3101, 39956, 2433, 9764, 21985, 24598, 1195, 35600, 22736, 18, 31224, 30, 12616, 390, 2661, 4137, 18333, 609, 473, 10121, 16015, 16671, 6778, 4036, 489, 341, 1649, 6832, 5362, 19807, 2422, 16518, 282, 17130, 9269, 1560, 22649, 16, 753, 15569, 360, 965, 289, 16203, 35118, 9350, 18, 9114, 986, 2158, 4223, 6426, 478, 684, 3283, 910, 349, 1029, 18333, 1043, 18147, 2385, 6485, 11358, 289, 603, 7432, 309, 34509, 18164, 290, 4883, 513, 18, 608, 1047, 912, 32073, 5590, 473, 7956, 37911, 3340, 25408, 27237, 16, 3274, 2016, 473, 37460, 16351, 18365, 669, 37292, 6767, 934, 367, 1038, 10793, 702, 10806, 473, 15136, 18947, 2674, 15512, 17014, 2387, 687, 10665, 16, 48150, 289, 13554, 35578, 30891, 18, 1681, 277, 1041, 9595, 4723, 322, 12503, 18, 11799, 18333, 28499, 282, 2098, 295, 293, 34056, 1135, 281, 939, 23052, 6485, 289, 28035, 6751, 839, 24423, 282, 1354, 18, 9967, 1011, 978, 567, 808, 2059, 411, 7898, 33609, 9916, 22369, 484, 281, 30328, 39392, 1803, 9672, 274, 16, 48637, 16, 374, 505, 1856, 2016, 473, 4298, 1921, 768, 1018, 5539, 934, 334, 17, 12593, 16, 21725, 12720, 773, 5017, 4028, 5426, 16, 367, 505, 8429, 31107, 747, 8971, 425, 4723, 14361, 16559, 8921, 742, 18, 832, 1381, 953, 10096, 13150, 4130, 567, 17315, 16, 753, 3670, 13273, 45780, 2771, 4260, 8621, 478, 563, 310, 791, 910, 2921, 7194, 46900, 37827, 1633, 382, 334, 39772, 11088, 47432, 3583, 18, 9753, 478, 822, 809, 426, 8561, 470, 8084, 12879, 7831, 19935, 2044, 2370, 353, 334, 3563, 339, 536, 1375, 1528, 2025, 277, 10208, 289, 11839, 937, 309, 19830, 5112, 33850, 839, 9012, 289, 10417, 542, 18, 36604, 3974, 6025, 745, 898, 282, 2808, 315, 578, 2110, 8947, 2403, 1421, 271, 3327, 281, 11237, 30782, 282, 23978, 9616, 8921, 19637, 289, 12816, 7451, 282, 3106, 14278, 281, 27648, 11724, 635, 478, 822, 809, 17104, 25485, 45, 3931, 861, 2046, 8825, 8465, 282, 15242, 39392, 7975, 8621, 290, 17300, 434, 25141, 3245, 16, 12674, 1081, 8819, 5184, 718, 18339, 282, 21113, 16, 4213, 16, 3240, 322, 11984, 539, 16, 290, 828, 1336, 942, 3111, 18, 1591, 17, 7329, 16, 13607, 11618, 448, 322, 1262, 523, 382, 289, 5751, 2257, 359, 4548, 318, 726, 28522, 9035, 448, 22140, 16, 50196, 2508, 6426, 1293, 986, 2158, 18, 1665, 16, 367, 567 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 1175, 16, 4848, 478, 46088, 18, 8381, 470, 7897, 282, 20172, 18, 478, 15883, 19645, 24382, 16, 374, 2513, 1812, 6153, 5862, 4211, 282, 1175, 910, 510, 2548, 492, 18, 23302, 16, 1078, 3595, 349, 2630, 281, 1087, 2676, 33415, 16, 1747, 5245, 2768, 411, 23455, 18, 18678, 432, 6814, 478, 44451, 9973, 309, 2019, 910, 5692, 7897, 18, 19971, 22207, 46561, 15099, 282, 15243, 20165, 24560, 2418, 7987, 18, 478, 4441, 4289, 6228, 24562, 282, 36798, 20352, 8709, 1011, 12142, 5049, 779, 910, 510, 10050, 14331, 8709, 16, 3116, 7892, 16, 374, 478, 609, 5384, 26899, 6406, 861, 365, 13588, 19602, 375, 1484, 769, 2646, 561, 39640, 550, 2307, 6495, 271, 7517, 5643, 6196, 16, 45192, 6310, 45749, 289, 11977, 2005, 16, 41451, 2241, 294, 35424, 536, 15429, 277, 11400, 309, 21767, 289, 294, 2671, 2977, 49857, 18, 478, 4348, 47846, 590, 22978, 454, 32873, 9269, 7321, 282, 5118, 281, 16296, 6150, 25237, 16, 10366, 345, 6946, 15287, 309, 22142, 3302, 24643, 18, 769, 2646, 561, 39640, 550, 2307, 31851, 26267, 622, 2200, 20038, 282, 1175, 910, 510, 6442, 282, 3781, 17, 12495, 769, 2646, 561, 39640, 550, 2307, 18, 478, 4441, 322, 6411, 18412, 17805, 294, 1175, 16, 367, 1623, 15774, 323, 334, 32084, 411, 868, 10484, 18, 20439, 9280, 6153, 1519, 282, 6551, 428, 39676, 8275, 910, 510, 11661, 7897, 282, 19862, 6744, 763, 8709, 18, 365, 1175, 385, 2646, 561, 39640, 550, 2307, 31851, 1421, 7469, 1810, 30, 35007, 1069, 5613, 16, 28356, 5613, 289, 23303, 22650, 657, 510, 5248, 2837, 16495, 8334, 15204, 8138, 18, 1540, 2074, 5862, 37869, 769, 2646, 561, 39640, 550, 2307, 18037, 2768, 282, 10507, 1045, 289, 4374, 329, 31331, 291, 978, 7043, 282, 1175, 18, 6831, 7426, 26821, 2241, 8967, 3043, 9393, 309, 15243, 680, 21767, 11400, 37159, 289, 478, 47067, 15921, 861, 9668, 769, 2646, 561, 39640, 550, 2307, 282, 1175, 25856, 768, 18385, 1496, 31851, 1423, 8892, 289, 5702, 282, 3507, 18, 415, 1961, 12171, 8527, 1262, 15833, 13029, 1979, 8468, 541, 46561, 7321, 282, 5329, 30, 48492, 3400, 26326, 883, 289, 11977, 9393, 16, 8275, 21490, 51, 6601, 18, 365, 1175, 6295, 14482, 5432, 8972, 2206, 281, 28737, 289, 22489, 363, 635, 18, 478, 789, 945, 617, 282, 7044, 1038, 1698, 7869, 294, 11447, 3707, 360, 7634, 9302, 432, 22240, 289, 21030, 14369, 1608, 6271, 477, 1963, 13269, 6802, 910, 510, 5130, 282, 10940, 263, 1770, 22471, 16, 5389, 6238, 24201, 277, 3281, 43935, 15397, 282, 3734, 1045, 18, 478, 4670, 8040, 17886, 42236, 3281, 6059, 28872, 478, 660, 1645, 470, 282, 1175, 1747, 2245, 1954, 670, 2513, 1954, 18, 4338, 16, 3848, 1223, 16, 978, 25385, 322, 840, 18, 44323, 847, 520, 282, 11671, 1045, 35, 8269, 16, 374, 1003, 18, 439, 1215, 282, 2801, 1045, 481, 1033, 7260, 910, 510, 3153, 3720, 44788, 483, 16, 477, 42481, 574, 715, 1890, 70, 5763, 769, 45, 38, 16, 282, 7337, 478, 46088, 18, 8381, 861, 8932, 26790, 6357, 48953, 2241, 478, 49938, 1846, 7838, 470, 4944, 421, 291, 11701, 12016, 16, 374, 478, 32804, 1633, 297, 19015, 47504, 4364, 349, 939, 6228, 3871, 27976, 473, 348, 4594, 2235, 8334, 8138, 18, 510, 478, 18386, 18, 8381, 9979, 477, 22489, 363, 635, 289, 28737, 861, 478, 3743, 769, 2646, 561, 39640, 550, 2307, 2002, 322, 685, 21340, 282, 1175, 334, 13588, 296, 15617, 272, 18, 1178, 3785, 322, 14007, 289, 322, 5222, 16, 502, 1381, 2988, 590, 34680, 6149, 309, 33041, 3871, 27976, 473, 8665, 14850, 18, 510, 478, 18386, 18, 8381, 12235, 2988, 13761, 411, 4466, 18, 3647, 22918, 783, 309, 6228, 3871, 27976, 478, 730, 286, 1792, 19240, 910, 1029, 40285, 685, 35201, 16, 32026, 281, 1498, 6349, 516, 20011, 1624, 329, 8709, 33599, 473, 375, 2074, 5862, 4211, 18, 510, 478, 18386, 18, 8381, 9979, 1320, 9600, 1844, 4466, 910, 510, 3973, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9805, 26834, 8874, 478, 563, 310, 791, 470, 11719, 37827, 1633, 382, 334, 39772, 11088, 47432, 3583, 510, 3101, 39956, 2433, 9764, 21985, 24598, 1195, 35600, 22736, 18, 31224, 30, 12616, 390, 2661, 4137, 18333, 609, 473, 10121, 16015, 16671, 6778, 4036, 489, 341, 1649, 6832, 5362, 19807, 2422, 16518, 282, 17130, 9269, 1560, 22649, 16, 753, 15569, 360, 965, 289, 16203, 35118, 9350, 18, 9114, 986, 2158, 4223, 6426, 478, 684, 3283, 910, 349, 1029, 18333, 1043, 18147, 2385, 6485, 11358, 289, 603, 7432, 309, 34509, 18164, 290, 4883, 513, 18, 608, 1047, 912, 32073, 5590, 473, 7956, 37911, 3340, 25408, 27237, 16, 3274, 2016, 473, 37460, 16351, 18365, 669, 37292, 6767, 934, 367, 1038, 10793, 702, 10806, 473, 15136, 18947, 2674, 15512, 17014, 2387, 687, 10665, 16, 48150, 289, 13554, 35578, 30891, 18, 1681, 277, 1041, 9595, 4723, 322, 12503, 18, 11799, 18333, 28499, 282, 2098, 295, 293, 34056, 1135, 281, 939, 23052, 6485, 289, 28035, 6751, 839, 24423, 282, 1354, 18, 9967, 1011, 978, 567, 808, 2059, 411, 7898, 33609, 9916, 22369, 484, 281, 30328, 39392, 1803, 9672, 274, 16, 48637, 16, 374, 505, 1856, 2016, 473, 4298, 1921, 768, 1018, 5539, 934, 334, 17, 12593, 16, 21725, 12720, 773, 5017, 4028, 5426, 16, 367, 505, 8429, 31107, 747, 8971, 425, 4723, 14361, 16559, 8921, 742, 18, 832, 1381, 953, 10096, 13150, 4130, 567, 17315, 16, 753, 3670, 13273, 45780, 2771, 4260, 8621, 478, 563, 310, 791, 910, 2921, 7194, 46900, 37827, 1633, 382, 334, 39772, 11088, 47432, 3583, 18, 9753, 478, 822, 809, 426, 8561, 470, 8084, 12879, 7831, 19935, 2044, 2370, 353, 334, 3563, 339, 536, 1375, 1528, 2025, 277, 10208, 289, 11839, 937, 309, 19830, 5112, 33850, 839, 9012, 289, 10417, 542, 18, 36604, 3974, 6025, 745, 898, 282, 2808, 315, 578, 2110, 8947, 2403, 1421, 271, 3327, 281, 11237, 30782, 282, 23978, 9616, 8921, 19637, 289, 12816, 7451, 282, 3106, 14278, 281, 27648, 11724, 635, 478, 822, 809, 17104, 25485, 45, 3931, 861, 2046, 8825, 8465, 282, 15242, 39392, 7975, 8621, 290, 17300, 434, 25141, 3245, 16, 12674, 1081, 8819, 5184, 718, 18339, 282, 21113, 16, 4213, 16, 3240, 322, 11984, 539, 16, 290, 828, 1336, 942, 3111, 18, 1591, 17, 7329, 16, 13607, 11618, 448, 322, 1262, 523, 382, 289, 5751, 2257, 359, 4548, 318, 726, 28522, 9035, 448, 22140, 16, 50196, 2508, 6426, 1293, 986, 2158, 18, 1665, 16, 367, 567 ]
[ 17, 8678, 16, 2319, 2199, 574, 845, 1500, 5809, 16, 374, 14578, 451, 6441, 4167, 3101, 3181, 1757, 45981, 924, 16, 374, 4889, 9858, 360, 1209, 11443, 11618, 432, 6575, 7541, 651, 4011, 3217, 575, 10509, 18, 5227, 1381, 10229, 16, 374, 6363, 37827, 1633, 382, 651, 7572, 742, 26908, 680, 4889, 7701, 8076, 651, 282, 3136, 34273, 18037, 428, 1089, 321, 1742, 5184, 16, 7284, 1815, 35176, 272, 4367, 478, 28041, 322, 541, 1209, 861, 478, 17327, 990, 38748, 38748, 910, 478, 45176, 343, 396, 25128, 910, 478, 16415, 1470, 316, 3859, 616, 297, 470, 510, 481, 16365, 16, 5930, 7336, 1639, 282, 13180, 3678, 942, 49943, 282, 1872, 763, 6281, 309, 2923, 37970, 8413, 3159, 6166, 23134, 278, 910, 478, 983, 323, 2279, 778, 3216, 11523, 1268, 11649, 870, 9012, 8297, 300, 289, 5237, 1961, 301, 271, 8142, 883, 478, 1098, 383, 8488, 910, 282, 2114, 37827, 1633, 382, 8181, 38105, 3633, 44438, 16190, 4889, 620, 2334, 16, 515, 322, 519, 3915, 28291, 281, 505, 13480, 416, 4480, 2206, 18, 3557, 2199, 27126, 5221, 478, 563, 310, 791, 910, 282, 2114, 281, 5606, 575, 12094, 24385, 45865, 4561, 16, 36492, 7376, 27288, 16, 3279, 34189, 2712, 322, 4443, 5517, 16, 3176, 18143, 6567, 287, 16, 5194, 26589, 4783, 30892, 2808, 416, 306, 6364, 5925, 19404, 3746, 289, 322, 1305, 18, 5343, 651, 1332, 281, 939, 27327, 289, 21223, 6632, 317, 337, 355, 16, 1586, 50039, 3964, 322, 48802, 27737, 16, 2686, 1336, 46963, 38484, 553, 473, 15383, 275, 15202, 16, 5343, 17, 34519, 13, 3895, 520, 322, 4424, 6380, 5808, 282, 2309, 6543, 2514, 20755, 22160, 507, 16, 988, 5373, 381, 2507, 16713, 19589, 1711, 16, 15483, 4793, 19884, 382, 289, 43659, 1453, 19143, 6210, 20425, 20254, 18, 9746, 1177, 396, 13808, 4618, 294, 31419, 2591, 289, 424, 363, 4618, 8737, 766, 28765, 16, 374, 505, 2702, 1472, 3882, 4245, 4198, 758, 1069, 30842, 473, 267, 6133, 37827, 1633, 382, 1494, 5931, 19647, 695, 934, 2117, 4857, 371, 803, 2521, 373, 10398, 33110, 2009, 33057, 18, 24734, 2636, 27812, 33726, 14582, 2173, 5687, 1336, 4618, 2820, 16, 374, 35704, 623, 31077, 282, 311, 9906, 287, 394, 11618, 473, 780, 884, 512, 16, 3057, 16, 3073, 16, 453, 519, 3915, 289, 322, 2753, 811, 16, 5045, 475, 17, 2767, 685, 8921, 742, 13, 289, 3820, 451, 3232, 2414, 396, 34837, 24251, 1967, 3322, 5008, 791, 1715, 322, 4148, 530, 9720, 360, 8195, 21985, 46694, 473, 275, 437, 265, 17, 299, 21647, 13, 23316, 18, 2, 1, 87, 1456, 81, 2448, 30, 29, 20581, 567, 16762, 263, 8056, 48448, 18, 7824, 28086, 10073, 23124, 6886, 5067, 281, 18648, 758, 294, 16776, 4497, 7016, 7656, 3334, 20960, 48843, 294, 25988, 9885, 5851, 272, 16, 708, 578, 6985, 46807, 465, 1587, 6447, 16427, 13751, 758, 7378, 1082, 289, 7849, 4697, 4644, 11089, 16, 28439, 478, 30978, 350, 4271, 6230, 9325, 395, 281, 13546, 2535, 18, 6373, 411, 45334, 16, 3067, 12452, 37191, 329, 22464, 33281, 40362, 16, 360, 881, 3431, 977, 360, 46602, 411, 29557, 6507, 6617, 18, 640, 2101, 1015, 304, 4577, 3125, 28086, 48092, 36458, 451, 7741, 368, 329, 6700, 2499, 1508, 332, 1175, 567, 16762, 263, 19243, 439, 11594, 401, 18, 9668, 15359, 2589, 553, 726, 13875, 282, 16294, 18, 31224, 30, 33573, 28086, 567, 16762, 263, 20908, 282, 8078, 14977, 48448, 18, 33565, 1015, 343, 13132, 1658, 3598, 329, 25988, 2009, 10139, 309, 42312, 42629, 16, 5923, 6080, 478, 13261, 861, 10240, 1133, 2891, 36121, 538, 6550, 1645, 36591, 1816, 7257, 281, 23431, 10080, 353, 16, 282, 970, 2875, 289, 19974, 6390, 16, 2391, 10552, 16167, 1551, 31544, 8197, 567, 16762, 263, 1573, 2370, 16, 24268, 607, 289, 30211, 16, 40172, 19856, 17, 22905, 14977, 1195, 10069, 40947, 31469, 18, 1268, 1088, 506, 360, 48941, 1573, 2370, 16, 282, 4810, 16, 3711, 4623, 478, 10520, 1880, 28107, 861, 6630, 17220, 7190, 478, 10520, 718, 27393, 470, 289, 4623, 478, 22995, 884, 470, 5658, 603, 10588, 11989, 294, 25988, 9885, 5851, 272, 309, 42312, 42629, 1974, 281, 13546, 2535, 14425, 677, 289, 27031, 9265, 17, 12212, 2466, 18228, 16, 3110, 478, 15210, 861, 403, 4365, 597, 42629, 40271, 4652, 411, 9469, 1135, 473, 267, 2752, 1129, 898, 10933, 9985, 548, 289, 1293, 7032, 43984, 282, 4008, 39058, 12466, 13, 5098, 5468, 309, 17252, 6105, 272, 4330, 18, 41146, 1838, 300, 5545, 364, 20203, 415, 7641, 682, 16, 367, 2406, 281, 49440, 13712, 7190, 36591, 1873, 3320, 478, 46130, 470, 289, 1888, 36591, 1816, 39204, 18, 640, 5626, 16, 15762, 6238, 309, 2570, 17087, 49211, 1212, 3614, 5099, 7156, 1052, 18, 13444, 16, 4750, 16, 374, 5906, 46602, 11707, 1749, 282, 20342, 46456, 16, 3333, 510, 281, 2513, 30892, 2641, 634, 9340, 18, 985, 5923, 10958, 16, 4686, 3125, 28086, 4732, 8721, 506, 39038, 1082, 282, 5098, 6282, 1733, 294, 4365, 597, 42629, 39625, 16, 38995, 478, 30978, 350, 22558, 4541, 2364, 8241, 1135, 12497, 326, 8406, 289, 281, 36093, 478, 7530, 597, 465, 454, 510, 309, 336, 364, 379, 454, 4271, 6166, 38527, 46699, 510, 309, 23179, 9979, 322, 15111, 32855, 9325, 395, 294, 25988, 18433, 18, 967, 4060, 973, 294, 25988, 1918, 16783, 5303, 281, 4497, 7016, 7656, 3334, 20960, 48843, 3125, 28086, 1038, 322, 15553, 414, 294, 5943, 3033, 18, 999, 1690, 6951, 45356, 10469, 48841, 1676, 294, 4679, 2942, 2986, 16, 11346, 343, 2854, 40990, 36545, 16, 289, 4732, 697, 13996, 9654, 18, 38101, 553, 16, 3110, 478, 15210, 910, 3711, 6919, 46807, 1507, 46602, 16, 753, 39625, 3005, 32855, 294, 25988, 1918, 18, 365, 6447, 16427, 11707, 1749, 2458, 2067, 1291, 24362, 38210, 289, 50231, 19273, 16, 1085, 17, 299, 7563, 309, 6213, 7849, 7576, 4644, 3724, 18, 478, 780, 925, 22805, 9537, 16911, 282, 14274, 16, 753, 21124, 22516, 289, 46602, 18, 11387, 665, 318, 6884, 294, 5943, 3033, 282, 478, 675, 7237, 17465, 470, 24551, 1999, 1275, 18, 7824, 28086, 10073, 27947, 281, 6447, 876, 7923, 910, 510, 10703, 6080, 478, 13261, 470, 3781, 17, 15975, 4623, 478, 10520, 1880, 28107, 470, 9409, 20842, 401, 1624, 32715, 1779, 567, 16762, 411, 11007, 18, 824, 722, 3163, 16, 34144, 478, 10520, 718, 27393, 470, 2458, 5911, 34305, 309, 42312, 42629, 2555, 17, 9150, 879, 14856, 12632, 478, 267, 1146, 12311, 9168, 9061, 13546, 2986, 16, 961, 25290, 8044, 3725, 12466, 2665, 861 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 8678, 16, 2319, 2199, 574, 845, 1500, 5809, 16, 374, 14578, 451, 6441, 4167, 3101, 3181, 1757, 45981, 924, 16, 374, 4889, 9858, 360, 1209, 11443, 11618, 432, 6575, 7541, 651, 4011, 3217, 575, 10509, 18, 5227, 1381, 10229, 16, 374, 6363, 37827, 1633, 382, 651, 7572, 742, 26908, 680, 4889, 7701, 8076, 651, 282, 3136, 34273, 18037, 428, 1089, 321, 1742, 5184, 16, 7284, 1815, 35176, 272, 4367, 478, 28041, 322, 541, 1209, 861, 478, 17327, 990, 38748, 38748, 910, 478, 45176, 343, 396, 25128, 910, 478, 16415, 1470, 316, 3859, 616, 297, 470, 510, 481, 16365, 16, 5930, 7336, 1639, 282, 13180, 3678, 942, 49943, 282, 1872, 763, 6281, 309, 2923, 37970, 8413, 3159, 6166, 23134, 278, 910, 478, 983, 323, 2279, 778, 3216, 11523, 1268, 11649, 870, 9012, 8297, 300, 289, 5237, 1961, 301, 271, 8142, 883, 478, 1098, 383, 8488, 910, 282, 2114, 37827, 1633, 382, 8181, 38105, 3633, 44438, 16190, 4889, 620, 2334, 16, 515, 322, 519, 3915, 28291, 281, 505, 13480, 416, 4480, 2206, 18, 3557, 2199, 27126, 5221, 478, 563, 310, 791, 910, 282, 2114, 281, 5606, 575, 12094, 24385, 45865, 4561, 16, 36492, 7376, 27288, 16, 3279, 34189, 2712, 322, 4443, 5517, 16, 3176, 18143, 6567, 287, 16, 5194, 26589, 4783, 30892, 2808, 416, 306, 6364, 5925, 19404, 3746, 289, 322, 1305, 18, 5343, 651, 1332, 281, 939, 27327, 289, 21223, 6632, 317, 337, 355, 16, 1586, 50039, 3964, 322, 48802, 27737, 16, 2686, 1336, 46963, 38484, 553, 473, 15383, 275, 15202, 16, 5343, 17, 34519, 13, 3895, 520, 322, 4424, 6380, 5808, 282, 2309, 6543, 2514, 20755, 22160, 507, 16, 988, 5373, 381, 2507, 16713, 19589, 1711, 16, 15483, 4793, 19884, 382, 289, 43659, 1453, 19143, 6210, 20425, 20254, 18, 9746, 1177, 396, 13808, 4618, 294, 31419, 2591, 289, 424, 363, 4618, 8737, 766, 28765, 16, 374, 505, 2702, 1472, 3882, 4245, 4198, 758, 1069, 30842, 473, 267, 6133, 37827, 1633, 382, 1494, 5931, 19647, 695, 934, 2117, 4857, 371, 803, 2521, 373, 10398, 33110, 2009, 33057, 18, 24734, 2636, 27812, 33726, 14582, 2173, 5687, 1336, 4618, 2820, 16, 374, 35704, 623, 31077, 282, 311, 9906, 287, 394, 11618, 473, 780, 884, 512, 16, 3057, 16, 3073, 16, 453, 519, 3915, 289, 322, 2753, 811, 16, 5045, 475, 17, 2767, 685, 8921, 742, 13, 289, 3820, 451, 3232, 2414, 396, 34837, 24251, 1967, 3322, 5008, 791, 1715, 322, 4148, 530, 9720, 360, 8195, 21985, 46694, 473, 275, 437, 265, 17, 299, 21647, 13, 23316, 18, 2, 1, 87, 1456, 81, 2448, 30, 29, 20581, 567, 16762, 263, 8056, 48448, 18, 7824, 28086, 10073, 23124, 6886, 5067, 281, 18648, 758, 294, 16776, 4497, 7016, 7656, 3334, 20960, 48843, 294, 25988, 9885, 5851, 272, 16, 708, 578, 6985, 46807, 465, 1587, 6447, 16427, 13751, 758, 7378, 1082, 289, 7849, 4697, 4644, 11089, 16, 28439, 478, 30978, 350, 4271, 6230, 9325, 395, 281, 13546, 2535, 18, 6373, 411, 45334, 16, 3067, 12452, 37191, 329, 22464, 33281, 40362, 16, 360, 881, 3431, 977, 360, 46602, 411, 29557, 6507, 6617, 18, 640, 2101, 1015, 304, 4577, 3125, 28086, 48092, 36458, 451, 7741, 368, 329, 6700, 2499, 1508, 332, 1175, 567, 16762, 263, 19243, 439, 11594, 401, 18, 9668, 15359, 2589, 553, 726, 13875, 282, 16294, 18, 31224, 30, 33573, 28086, 567, 16762, 263, 20908, 282, 8078, 14977, 48448, 18, 33565, 1015, 343, 13132, 1658, 3598, 329, 25988, 2009, 10139, 309, 42312, 42629, 16, 5923, 6080, 478, 13261, 861, 10240, 1133, 2891, 36121, 538, 6550, 1645, 36591, 1816, 7257, 281, 23431, 10080, 353, 16, 282, 970, 2875, 289, 19974, 6390, 16, 2391, 10552, 16167, 1551, 31544, 8197, 567, 16762, 263, 1573, 2370, 16, 24268, 607, 289, 30211, 16, 40172, 19856, 17, 22905, 14977, 1195, 10069, 40947, 31469, 18, 1268, 1088, 506, 360, 48941, 1573, 2370, 16, 282, 4810, 16, 3711, 4623, 478, 10520, 1880, 28107, 861, 6630, 17220, 7190, 478, 10520, 718, 27393, 470, 289, 4623, 478, 22995, 884, 470, 5658, 603, 10588, 11989, 294, 25988, 9885, 5851, 272, 309, 42312, 42629, 1974, 281, 13546, 2535, 14425, 677, 289, 27031, 9265, 17, 12212, 2466, 18228, 16, 3110, 478, 15210, 861, 403, 4365, 597, 42629, 40271, 4652, 411, 9469, 1135, 473, 267, 2752, 1129, 898, 10933, 9985, 548, 289, 1293, 7032, 43984, 282, 4008, 39058, 12466, 13, 5098, 5468, 309, 17252, 6105, 272, 4330, 18, 41146, 1838, 300, 5545, 364, 20203, 415, 7641, 682, 16, 367, 2406, 281, 49440, 13712, 7190, 36591, 1873, 3320, 478, 46130, 470, 289, 1888, 36591, 1816, 39204, 18, 640, 5626, 16, 15762, 6238, 309, 2570, 17087, 49211, 1212, 3614, 5099, 7156, 1052, 18, 13444, 16, 4750, 16, 374, 5906, 46602, 11707, 1749, 282, 20342, 46456, 16, 3333, 510, 281, 2513, 30892, 2641, 634, 9340, 18, 985, 5923, 10958, 16, 4686, 3125, 28086, 4732, 8721, 506, 39038, 1082, 282, 5098, 6282, 1733, 294, 4365, 597, 42629, 39625, 16, 38995, 478, 30978, 350, 22558, 4541, 2364, 8241, 1135, 12497, 326, 8406, 289, 281, 36093, 478, 7530, 597, 465, 454, 510, 309, 336, 364, 379, 454, 4271, 6166, 38527, 46699, 510, 309, 23179, 9979, 322, 15111, 32855, 9325, 395, 294, 25988, 18433, 18, 967, 4060, 973, 294, 25988, 1918, 16783, 5303, 281, 4497, 7016, 7656, 3334, 20960, 48843, 3125, 28086, 1038, 322, 15553, 414, 294, 5943, 3033, 18, 999, 1690, 6951, 45356, 10469, 48841, 1676, 294, 4679, 2942, 2986, 16, 11346, 343, 2854, 40990, 36545, 16, 289, 4732, 697, 13996, 9654, 18, 38101, 553, 16, 3110, 478, 15210, 910, 3711, 6919, 46807, 1507, 46602, 16, 753, 39625, 3005, 32855, 294, 25988, 1918, 18, 365, 6447, 16427, 11707, 1749, 2458, 2067, 1291, 24362, 38210, 289, 50231, 19273, 16, 1085, 17, 299, 7563, 309, 6213, 7849, 7576, 4644, 3724, 18, 478, 780, 925, 22805, 9537, 16911, 282, 14274, 16, 753, 21124, 22516, 289, 46602, 18, 11387, 665, 318, 6884, 294, 5943, 3033, 282, 478, 675, 7237, 17465, 470, 24551, 1999, 1275, 18, 7824, 28086, 10073, 27947, 281, 6447, 876, 7923, 910, 510, 10703, 6080, 478, 13261, 470, 3781, 17, 15975, 4623, 478, 10520, 1880, 28107, 470, 9409, 20842, 401, 1624, 32715, 1779, 567, 16762, 411, 11007, 18, 824, 722, 3163, 16, 34144, 478, 10520, 718, 27393, 470, 2458, 5911, 34305, 309, 42312, 42629, 2555, 17, 9150, 879, 14856, 12632, 478, 267, 1146, 12311, 9168, 9061, 13546, 2986, 16, 961, 25290, 8044, 3725, 12466, 2665, 861 ]
[ 1937, 11009, 519, 7618, 40362, 16, 1040, 7357, 13587, 14861, 1166, 2364, 16885, 7032, 3320, 478, 46130, 861, 385, 6447, 2206, 16, 282, 4810, 16, 3332, 751, 8624, 16412, 15748, 478, 42598, 276, 470, 7974, 378, 4920, 36357, 289, 5222, 22519, 14425, 478, 46130, 470, 282, 16412, 1015, 781, 11658, 385, 1521, 18, 385, 2107, 1963, 24116, 42629, 16, 309, 4625, 22561, 283, 3930, 1162, 16, 1038, 9601, 46222, 1251, 3125, 414, 5364, 289, 4546, 3317, 36588, 27276, 14977, 16, 961, 35691, 294, 25988, 1918, 7481, 416, 18, 985, 3110, 478, 1563, 19767, 3754, 225, 910, 329, 4286, 282, 7481, 404, 294, 16776, 906, 20695, 2773, 4497, 7016, 7656, 1162, 20960, 18109, 18, 24195, 48049, 1038, 24661, 37191, 33281, 40362, 16, 294, 1498, 1833, 29182, 3125, 28086, 18, 4402, 32598, 2756, 360, 1129, 4057, 4694, 16, 1085, 17, 299, 411, 6367, 25440, 282, 46602, 411, 29557, 6507, 6617, 18, 2228, 379, 13317, 282, 8850, 6661, 411, 32277, 478, 42598, 276, 470, 510, 1856, 3033, 20691, 49211, 718, 10539, 7067, 10563, 877, 4402, 293, 4548, 18, 25344, 7742, 22625, 9597, 21849, 925, 11969, 1743, 334, 13229, 23543, 16, 5923, 478, 15210, 861, 32082, 379, 1779, 510, 3499, 505, 322, 7291, 16, 3665, 1472, 16, 374, 492, 14999, 9777, 275, 401, 510, 20817, 18, 33565, 1015, 343, 1038, 13132, 329, 9322, 36556, 309, 2101, 1015, 304, 4577, 18, 7824, 28086, 48092, 36458, 451, 7741, 368, 329, 20148, 28126, 332, 1175, 567, 16762, 263, 19243, 439, 11594, 401, 289, 35943, 4673, 505, 18, 7758, 1658, 3598, 567, 16762, 263, 639, 10570, 315, 5270, 7032, 478, 42598, 276, 470, 289, 3122, 379, 1779, 282, 4402, 293, 3174, 18407, 1573, 2370, 349, 17200, 564, 27276, 14977, 18, 5360, 1038, 3711, 10106, 349, 15074, 3195, 1011, 32764, 16, 3110, 478, 14745, 19767, 3754, 861, 478, 46130, 470, 12698, 16, 374, 475, 8296, 329, 24116, 42629, 1658, 3598, 898, 8597, 318, 289, 10172, 3320, 10073, 697, 21977, 18, 478, 471, 677, 25150, 12223, 9981, 16, 3279, 656, 965, 25684, 16, 2388, 4465, 1139, 24829, 400, 918, 18, 510, 2815, 47659, 2576, 16, 3110, 478, 15210, 861, 510, 1937, 309, 4837, 329, 17329, 6431, 16, 329, 11944, 16, 3091, 3920, 870, 7461, 16, 329, 19683, 14840, 2107, 2553, 16, 9658, 1352, 282, 8078, 14977, 39808, 319, 7741, 368, 281, 7233, 14560, 761, 16, 1293, 424, 356, 523, 21392, 1867, 7741, 368, 18, 1012, 394, 1867, 1177, 7741, 368, 16, 21204, 1867, 281, 9985, 712, 42452, 4497, 7016, 7656, 1133, 20960, 13233, 16, 289, 27286, 293, 548, 1867, 7741, 368, 861, 1591, 12241, 5037, 16762, 680, 17122, 7233, 6937, 6070, 1312, 406, 8262, 7929, 13875, 8348, 381, 31330, 16, 3110, 6080, 478, 13261, 470, 477, 7755, 309, 475, 18665, 375, 2127, 36591, 4846, 15740, 478, 46130, 910, 12691, 7314, 309, 3177, 3614, 27767, 8348, 18, 967, 803, 26363, 2815, 16, 374, 322, 24553, 349, 10404, 289, 322, 5273, 965, 7407, 4269, 18, 20346, 478, 46130, 470, 9321, 16, 374, 1717, 309, 1312, 406, 8262, 30582, 39808, 305, 8341, 349, 20966, 510, 289, 840, 20612, 505, 40483, 18, 2877, 16872, 16762, 718, 17439, 7067, 360, 14425, 478, 46130, 470, 25760, 4364, 1056, 276, 275, 45273, 416, 23143, 6152, 6059, 1658, 3598, 567, 16762, 263, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 17134, 17, 3822, 711, 2145, 30, 7969, 478, 46217, 23960, 297, 1476, 470, 17670, 455, 49564, 16, 30942, 6088, 749, 3599, 4377, 397, 404, 7840, 16, 367, 478, 1295, 551, 1724, 711, 470, 7609, 282, 19842, 2244, 1272, 5196, 18, 31224, 30, 677, 4018, 1045, 16352, 549, 6867, 45112, 18587, 14200, 528, 4351, 277, 478, 15664, 397, 8981, 343, 289, 30942, 470, 15660, 7852, 332, 7644, 304, 13006, 354, 473, 267, 44227, 1715, 4843, 24342, 3763, 934, 9271, 11225, 8460, 536, 32387, 510, 282, 803, 46992, 40136, 5371, 751, 13036, 478, 563, 748, 28358, 470, 41985, 286, 45322, 1624, 11442, 5622, 7676, 356, 289, 26060, 768, 339, 267, 28713, 16, 8117, 411, 1664, 275, 713, 680, 294, 2506, 9055, 1734, 16, 289, 5512, 478, 630, 820, 2661, 470, 473, 431, 13423, 1924, 36533, 289, 30467, 814, 8444, 33048, 565, 969, 45233, 1655, 575, 19352, 290, 281, 931, 275, 944, 16, 515, 349, 1293, 986, 12526, 281, 5115, 7777, 20295, 472, 673, 1359, 6258, 46871, 1624, 18889, 360, 1360, 5703, 45322, 16, 1586, 9462, 8096, 309, 5184, 1212, 4889, 16, 367, 30178, 24176, 3118, 26510, 701, 18, 385, 7676, 356, 289, 768, 339, 267, 915, 496, 3225, 21377, 16, 289, 282, 6031, 281, 931, 4873, 20975, 3848, 529, 276, 462, 17003, 17980, 18587, 18, 1591, 9701, 1750, 30225, 26834, 539, 5267, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 1139, 10201, 6807, 1949, 15474, 510, 7045, 4377, 397, 404, 7840, 282, 1169, 1003, 16, 367, 282, 6962, 962, 492, 7291, 478, 630, 1780, 742, 30, 23601, 2636, 6888, 470, 473, 1955, 44916, 5299, 3335, 30, 26745, 1084, 1564, 8083, 814, 2787, 912, 768, 339, 267, 28713, 17, 45586, 742, 6088, 16, 515, 978, 5121, 2950, 18, 999, 46915, 12776, 281, 3405, 334, 3436, 4238, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 28474, 282, 13006, 464, 2145, 289, 25359, 1223, 1472, 4843, 2932, 16, 21, 3763, 18, 889, 1715, 282, 1421, 4570, 3440, 16, 828, 639, 309, 46144, 329, 4183, 8621, 47568, 10207, 16, 22, 3763, 934, 289, 11576, 1335, 49234, 1472, 309, 11464, 1756, 18, 6315, 3847, 445, 7432, 478, 15664, 397, 8981, 454, 289, 42023, 491, 470, 282, 18767, 289, 34801, 510, 329, 9756, 1472, 2123, 9, 478, 267, 546, 452, 400, 470, 309, 1075, 1050, 7161, 23729, 26599, 573, 289, 322, 3240, 20688, 43546, 360, 15364, 18, 5043, 16, 567, 1514, 2968, 6793, 28474, 726, 4843, 10590, 16, 22, 3763, 16, 453, 374, 1595, 34013, 17, 21325, 32081, 7143, 492, 1943, 9737, 3299, 510, 3754, 16, 13860, 16, 281, 4080, 6127, 304, 18, 365, 1175, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 4223, 5284, 2158, 289, 309, 7015, 1756, 282, 25902, 39077, 322, 2564, 16, 329, 22603, 6170, 404, 28391, 478, 28061, 1484, 23960, 297, 1476, 18130, 294, 5138, 272, 6740, 46915, 12018, 6793, 349, 28545, 282, 19862, 13006, 464, 4652, 1156, 3763, 1671, 18, 45598, 16, 374, 289, 282, 2145, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 33513, 25097, 478, 46217, 23960, 297, 1476, 910, 1586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1937, 11009, 519, 7618, 40362, 16, 1040, 7357, 13587, 14861, 1166, 2364, 16885, 7032, 3320, 478, 46130, 861, 385, 6447, 2206, 16, 282, 4810, 16, 3332, 751, 8624, 16412, 15748, 478, 42598, 276, 470, 7974, 378, 4920, 36357, 289, 5222, 22519, 14425, 478, 46130, 470, 282, 16412, 1015, 781, 11658, 385, 1521, 18, 385, 2107, 1963, 24116, 42629, 16, 309, 4625, 22561, 283, 3930, 1162, 16, 1038, 9601, 46222, 1251, 3125, 414, 5364, 289, 4546, 3317, 36588, 27276, 14977, 16, 961, 35691, 294, 25988, 1918, 7481, 416, 18, 985, 3110, 478, 1563, 19767, 3754, 225, 910, 329, 4286, 282, 7481, 404, 294, 16776, 906, 20695, 2773, 4497, 7016, 7656, 1162, 20960, 18109, 18, 24195, 48049, 1038, 24661, 37191, 33281, 40362, 16, 294, 1498, 1833, 29182, 3125, 28086, 18, 4402, 32598, 2756, 360, 1129, 4057, 4694, 16, 1085, 17, 299, 411, 6367, 25440, 282, 46602, 411, 29557, 6507, 6617, 18, 2228, 379, 13317, 282, 8850, 6661, 411, 32277, 478, 42598, 276, 470, 510, 1856, 3033, 20691, 49211, 718, 10539, 7067, 10563, 877, 4402, 293, 4548, 18, 25344, 7742, 22625, 9597, 21849, 925, 11969, 1743, 334, 13229, 23543, 16, 5923, 478, 15210, 861, 32082, 379, 1779, 510, 3499, 505, 322, 7291, 16, 3665, 1472, 16, 374, 492, 14999, 9777, 275, 401, 510, 20817, 18, 33565, 1015, 343, 1038, 13132, 329, 9322, 36556, 309, 2101, 1015, 304, 4577, 18, 7824, 28086, 48092, 36458, 451, 7741, 368, 329, 20148, 28126, 332, 1175, 567, 16762, 263, 19243, 439, 11594, 401, 289, 35943, 4673, 505, 18, 7758, 1658, 3598, 567, 16762, 263, 639, 10570, 315, 5270, 7032, 478, 42598, 276, 470, 289, 3122, 379, 1779, 282, 4402, 293, 3174, 18407, 1573, 2370, 349, 17200, 564, 27276, 14977, 18, 5360, 1038, 3711, 10106, 349, 15074, 3195, 1011, 32764, 16, 3110, 478, 14745, 19767, 3754, 861, 478, 46130, 470, 12698, 16, 374, 475, 8296, 329, 24116, 42629, 1658, 3598, 898, 8597, 318, 289, 10172, 3320, 10073, 697, 21977, 18, 478, 471, 677, 25150, 12223, 9981, 16, 3279, 656, 965, 25684, 16, 2388, 4465, 1139, 24829, 400, 918, 18, 510, 2815, 47659, 2576, 16, 3110, 478, 15210, 861, 510, 1937, 309, 4837, 329, 17329, 6431, 16, 329, 11944, 16, 3091, 3920, 870, 7461, 16, 329, 19683, 14840, 2107, 2553, 16, 9658, 1352, 282, 8078, 14977, 39808, 319, 7741, 368, 281, 7233, 14560, 761, 16, 1293, 424, 356, 523, 21392, 1867, 7741, 368, 18, 1012, 394, 1867, 1177, 7741, 368, 16, 21204, 1867, 281, 9985, 712, 42452, 4497, 7016, 7656, 1133, 20960, 13233, 16, 289, 27286, 293, 548, 1867, 7741, 368, 861, 1591, 12241, 5037, 16762, 680, 17122, 7233, 6937, 6070, 1312, 406, 8262, 7929, 13875, 8348, 381, 31330, 16, 3110, 6080, 478, 13261, 470, 477, 7755, 309, 475, 18665, 375, 2127, 36591, 4846, 15740, 478, 46130, 910, 12691, 7314, 309, 3177, 3614, 27767, 8348, 18, 967, 803, 26363, 2815, 16, 374, 322, 24553, 349, 10404, 289, 322, 5273, 965, 7407, 4269, 18, 20346, 478, 46130, 470, 9321, 16, 374, 1717, 309, 1312, 406, 8262, 30582, 39808, 305, 8341, 349, 20966, 510, 289, 840, 20612, 505, 40483, 18, 2877, 16872, 16762, 718, 17439, 7067, 360, 14425, 478, 46130, 470, 25760, 4364, 1056, 276, 275, 45273, 416, 23143, 6152, 6059, 1658, 3598, 567, 16762, 263, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 17134, 17, 3822, 711, 2145, 30, 7969, 478, 46217, 23960, 297, 1476, 470, 17670, 455, 49564, 16, 30942, 6088, 749, 3599, 4377, 397, 404, 7840, 16, 367, 478, 1295, 551, 1724, 711, 470, 7609, 282, 19842, 2244, 1272, 5196, 18, 31224, 30, 677, 4018, 1045, 16352, 549, 6867, 45112, 18587, 14200, 528, 4351, 277, 478, 15664, 397, 8981, 343, 289, 30942, 470, 15660, 7852, 332, 7644, 304, 13006, 354, 473, 267, 44227, 1715, 4843, 24342, 3763, 934, 9271, 11225, 8460, 536, 32387, 510, 282, 803, 46992, 40136, 5371, 751, 13036, 478, 563, 748, 28358, 470, 41985, 286, 45322, 1624, 11442, 5622, 7676, 356, 289, 26060, 768, 339, 267, 28713, 16, 8117, 411, 1664, 275, 713, 680, 294, 2506, 9055, 1734, 16, 289, 5512, 478, 630, 820, 2661, 470, 473, 431, 13423, 1924, 36533, 289, 30467, 814, 8444, 33048, 565, 969, 45233, 1655, 575, 19352, 290, 281, 931, 275, 944, 16, 515, 349, 1293, 986, 12526, 281, 5115, 7777, 20295, 472, 673, 1359, 6258, 46871, 1624, 18889, 360, 1360, 5703, 45322, 16, 1586, 9462, 8096, 309, 5184, 1212, 4889, 16, 367, 30178, 24176, 3118, 26510, 701, 18, 385, 7676, 356, 289, 768, 339, 267, 915, 496, 3225, 21377, 16, 289, 282, 6031, 281, 931, 4873, 20975, 3848, 529, 276, 462, 17003, 17980, 18587, 18, 1591, 9701, 1750, 30225, 26834, 539, 5267, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 1139, 10201, 6807, 1949, 15474, 510, 7045, 4377, 397, 404, 7840, 282, 1169, 1003, 16, 367, 282, 6962, 962, 492, 7291, 478, 630, 1780, 742, 30, 23601, 2636, 6888, 470, 473, 1955, 44916, 5299, 3335, 30, 26745, 1084, 1564, 8083, 814, 2787, 912, 768, 339, 267, 28713, 17, 45586, 742, 6088, 16, 515, 978, 5121, 2950, 18, 999, 46915, 12776, 281, 3405, 334, 3436, 4238, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 28474, 282, 13006, 464, 2145, 289, 25359, 1223, 1472, 4843, 2932, 16, 21, 3763, 18, 889, 1715, 282, 1421, 4570, 3440, 16, 828, 639, 309, 46144, 329, 4183, 8621, 47568, 10207, 16, 22, 3763, 934, 289, 11576, 1335, 49234, 1472, 309, 11464, 1756, 18, 6315, 3847, 445, 7432, 478, 15664, 397, 8981, 454, 289, 42023, 491, 470, 282, 18767, 289, 34801, 510, 329, 9756, 1472, 2123, 9, 478, 267, 546, 452, 400, 470, 309, 1075, 1050, 7161, 23729, 26599, 573, 289, 322, 3240, 20688, 43546, 360, 15364, 18, 5043, 16, 567, 1514, 2968, 6793, 28474, 726, 4843, 10590, 16, 22, 3763, 16, 453, 374, 1595, 34013, 17, 21325, 32081, 7143, 492, 1943, 9737, 3299, 510, 3754, 16, 13860, 16, 281, 4080, 6127, 304, 18, 365, 1175, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 4223, 5284, 2158, 289, 309, 7015, 1756, 282, 25902, 39077, 322, 2564, 16, 329, 22603, 6170, 404, 28391, 478, 28061, 1484, 23960, 297, 1476, 18130, 294, 5138, 272, 6740, 46915, 12018, 6793, 349, 28545, 282, 19862, 13006, 464, 4652, 1156, 3763, 1671, 18, 45598, 16, 374, 289, 282, 2145, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 33513, 25097, 478, 46217, 23960, 297, 1476, 910, 1586 ]
[ 8824, 21340, 44137, 17, 7355, 507, 281, 4843, 5584, 16, 28, 3763, 18, 22158, 269, 411, 8621, 478, 46217, 23960, 297, 1476, 470, 385, 465, 3407, 50035, 727, 1083, 331, 478, 46217, 23960, 297, 1476, 470, 2141, 5915, 35552, 7644, 304, 18, 25367, 16, 282, 2241, 44944, 12603, 414, 10645, 449, 5983, 343, 43669, 26914, 429, 17822, 779, 16, 8508, 411, 5305, 40621, 432, 24781, 3314, 15474, 16, 49372, 2956, 5772, 42308, 49469, 13138, 18, 8048, 482, 273, 19348, 334, 1514, 14857, 12152, 4889, 510, 281, 37591, 536, 11237, 49466, 8786, 289, 281, 6892, 4019, 10749, 32738, 473, 408, 1122, 1223, 1272, 510, 8647, 1789, 2167, 326, 289, 505, 22501, 3809, 934, 367, 1038, 281, 4292, 9594, 11241, 12607, 541, 33407, 2150, 504, 1918, 16, 3495, 607, 394, 16, 1241, 264, 289, 11443, 37146, 432, 3874, 293, 1452, 3924, 29474, 23960, 297, 1476, 18, 999, 1871, 5576, 13006, 354, 4784, 265, 18336, 35263, 4676, 478, 28061, 607, 23960, 297, 1476, 470, 6245, 2385, 474, 21325, 21282, 4662, 47568, 25, 6862, 16, 24, 3763, 934, 492, 726, 9737, 18204, 1595, 45439, 17, 21325, 32081, 7143, 510, 289, 33191, 309, 803, 322, 15279, 18, 8276, 8103, 6793, 13006, 548, 1812, 282, 15770, 473, 25807, 4843, 10590, 3763, 5102, 282, 1175, 505, 35263, 18869, 802, 294, 6842, 554, 2791, 16, 3754, 16, 2992, 46915, 12776, 282, 19862, 13006, 464, 492, 33513, 478, 1605, 39012, 1744, 470, 11719, 23888, 3583, 510, 515, 16, 3073, 16, 687, 411, 17, 431, 16002, 7619, 40780, 6867, 609, 18, 30082, 1270, 2842, 5785, 16414, 16, 3279, 16775, 34450, 42538, 10718, 26834, 448, 16174, 478, 28061, 607, 23960, 297, 1476, 910, 1943, 685, 4366, 25097, 289, 282, 1175, 18, 365, 10209, 16, 726, 1314, 942, 18604, 1519, 16, 374, 537, 478, 46217, 23960, 297, 1476, 910, 537, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 322, 6203, 3461, 1634, 15852, 428, 8396, 519, 1286, 3598, 16, 785, 282, 26834, 11981, 6940, 7572, 21985, 37282, 21880, 4761, 4350, 510, 478, 33116, 22263, 30, 1483, 24303, 14262, 861, 385, 25014, 8621, 353, 16, 3858, 8309, 282, 3609, 17, 25, 309, 1967, 27766, 16, 6295, 1033, 24665, 549, 16, 515, 289, 329, 1129, 912, 16171, 8593, 282, 30019, 582, 764, 309, 5284, 18, 3397, 18326, 1756, 9225, 46348, 478, 672, 1394, 273, 3462, 320, 1162, 816, 470, 281, 7070, 267, 403, 957, 5620, 18, 22158, 269, 411, 28636, 5355, 8621, 478, 1295, 551, 1724, 711, 470, 17396, 3173, 7756, 15474, 2742, 3136, 34273, 290, 8674, 312, 29626, 1212, 3948, 34456, 7601, 576, 764, 4843, 2479, 16, 28, 3763, 289, 2558, 804, 1617, 19465, 35263, 519, 4843, 8066, 3763, 18, 20876, 4269, 1559, 26914, 277, 478, 1295, 551, 1724, 711, 910, 1029, 3164, 282, 3609, 17, 25, 726, 1272, 5196, 16, 28474, 349, 481, 808, 4843, 7181, 27, 3763, 16, 411, 1639, 309, 42094, 13205, 46915, 12776, 3711, 4843, 26, 16, 26, 3763, 18, 439, 13150, 4367, 1756, 28774, 35020, 281, 39489, 1265, 323, 4048, 3509, 345, 478, 40747, 504, 11496, 861, 13758, 4858, 761, 17704, 2203, 16, 39174, 476, 4028, 282, 17063, 289, 18866, 1027, 1595, 4211, 16, 35333, 282, 19842, 2244, 309, 1967, 27766, 1223, 4843, 26, 3763, 16, 515, 722, 7343, 49234, 47568, 10821, 3763, 13, 2702, 541, 924, 16, 753, 9737, 3299, 4518, 17, 21325, 32081, 7143, 289, 25111, 941, 8994, 263, 4048, 3509, 345, 428, 43490, 2909, 4388, 571, 1383, 2128, 382, 18, 2, 1, 87, 1456, 81, 2448, 30, 42794, 48618, 343, 30866, 287, 2725, 19218, 282, 11441, 345, 283, 845, 2529, 289, 939, 3539, 15016, 35107, 309, 19843, 1234, 15319, 282, 21925, 1310, 1212, 12157, 409, 19121, 555, 19753, 569, 2825, 17382, 5133, 378, 743, 401, 48773, 289, 6276, 282, 7504, 3098, 19702, 18, 31224, 30, 822, 884, 287, 2725, 19218, 16, 349, 1421, 281, 16401, 4177, 590, 2711, 489, 764, 3441, 11854, 454, 17382, 5133, 378, 743, 401, 48773, 1624, 4424, 349, 1939, 4776, 6276, 282, 23708, 300, 14452, 1234, 15319, 18, 999, 4378, 13440, 282, 23356, 19702, 282, 12157, 409, 30866, 287, 14894, 29615, 281, 7813, 761, 34067, 323, 10541, 21608, 18, 365, 12157, 409, 7504, 3098, 510, 481, 726, 23708, 300, 16, 367, 1548, 378, 743, 401, 756, 16, 13649, 16, 16017, 3308, 2725, 399, 2344, 282, 16354, 16, 21633, 10133, 749, 7811, 322, 15837, 18, 20012, 575, 16108, 3860, 30866, 394, 16, 942, 639, 13446, 6993, 8111, 434, 289, 38997, 14702, 12899, 12706, 37358, 18, 403, 2222, 575, 16, 14887, 9043, 6773, 7316, 332, 17395, 18, 18206, 282, 6031, 32079, 1421, 281, 16401, 4177, 25257, 42905, 1612, 289, 764, 10490, 587, 2736, 977, 411, 17, 431, 16682, 18, 365, 6031, 575, 16, 753, 27855, 9764, 2725, 399, 2344, 16, 722, 12817, 536, 14497, 21861, 3711, 25645, 2364, 4256, 3139, 1612, 18, 740, 3433, 16410, 2353, 8689, 22597, 18, 365, 4056, 4623, 30866, 287, 906, 2734, 14377, 968, 16, 2734, 42639, 326, 15197, 16, 3440, 3550, 977, 289, 16, 428, 13391, 16, 9635, 4318, 2159, 16432, 282, 2948, 309, 47366, 18, 41510, 6088, 349, 2725, 399, 2344, 477, 12932, 1286, 30, 22, 18, 2046, 378, 743, 401, 756, 43959, 289, 322, 15837, 18, 5890, 334, 19955, 4601, 272, 639, 6218, 16, 374, 25486, 282, 803, 8267, 764, 1271, 4642, 1463, 18, 17580, 10080, 870, 12980, 26851, 18, 5181, 16, 289, 30866, 287, 16, 48253, 2615, 4601, 16, 6709, 16, 2734, 20086, 27460, 16, 1795, 743, 7739, 2827, 8714, 2695, 968, 18, 999, 374, 2725, 19218, 289, 36520, 5519, 18, 403, 2222, 575, 16, 2725, 19218, 567, 7422, 281, 781, 11342, 965, 20663, 18, 35832, 575, 4623, 510, 1286, 30, 22, 510, 322, 9466, 6528, 18, 25486, 16, 2826, 16, 45300, 332, 7739, 2825, 16, 367, 971, 282, 970, 575, 9525, 2742, 289, 9258, 4833, 15958, 18, 459, 1215, 1373, 13487, 1240, 448, 12755, 18, 27252, 320, 2203, 502, 21857, 309, 1040, 266, 16, 502, 652, 32064, 505, 18, 1012, 4610, 1453, 27437, 9343, 2111, 326, 21427, 640, 400, 16, 367, 30866, 298, 18187, 4693, 965, 282, 2038, 289, 23625, 1743, 519, 9764, 282, 281, 781, 16, 367, 1974, 281, 1498, 289, 282, 8267, 18, 2725, 19218, 6276, 282, 23708, 300, 16, 988, 1441, 31834, 281, 7813, 761, 439, 278, 271, 17039, 323, 10541, 21608, 16, 282, 3437, 10080, 292, 558, 3979, 1027, 2689, 454, 44995, 307, 4824, 473, 27, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8824, 21340, 44137, 17, 7355, 507, 281, 4843, 5584, 16, 28, 3763, 18, 22158, 269, 411, 8621, 478, 46217, 23960, 297, 1476, 470, 385, 465, 3407, 50035, 727, 1083, 331, 478, 46217, 23960, 297, 1476, 470, 2141, 5915, 35552, 7644, 304, 18, 25367, 16, 282, 2241, 44944, 12603, 414, 10645, 449, 5983, 343, 43669, 26914, 429, 17822, 779, 16, 8508, 411, 5305, 40621, 432, 24781, 3314, 15474, 16, 49372, 2956, 5772, 42308, 49469, 13138, 18, 8048, 482, 273, 19348, 334, 1514, 14857, 12152, 4889, 510, 281, 37591, 536, 11237, 49466, 8786, 289, 281, 6892, 4019, 10749, 32738, 473, 408, 1122, 1223, 1272, 510, 8647, 1789, 2167, 326, 289, 505, 22501, 3809, 934, 367, 1038, 281, 4292, 9594, 11241, 12607, 541, 33407, 2150, 504, 1918, 16, 3495, 607, 394, 16, 1241, 264, 289, 11443, 37146, 432, 3874, 293, 1452, 3924, 29474, 23960, 297, 1476, 18, 999, 1871, 5576, 13006, 354, 4784, 265, 18336, 35263, 4676, 478, 28061, 607, 23960, 297, 1476, 470, 6245, 2385, 474, 21325, 21282, 4662, 47568, 25, 6862, 16, 24, 3763, 934, 492, 726, 9737, 18204, 1595, 45439, 17, 21325, 32081, 7143, 510, 289, 33191, 309, 803, 322, 15279, 18, 8276, 8103, 6793, 13006, 548, 1812, 282, 15770, 473, 25807, 4843, 10590, 3763, 5102, 282, 1175, 505, 35263, 18869, 802, 294, 6842, 554, 2791, 16, 3754, 16, 2992, 46915, 12776, 282, 19862, 13006, 464, 492, 33513, 478, 1605, 39012, 1744, 470, 11719, 23888, 3583, 510, 515, 16, 3073, 16, 687, 411, 17, 431, 16002, 7619, 40780, 6867, 609, 18, 30082, 1270, 2842, 5785, 16414, 16, 3279, 16775, 34450, 42538, 10718, 26834, 448, 16174, 478, 28061, 607, 23960, 297, 1476, 910, 1943, 685, 4366, 25097, 289, 282, 1175, 18, 365, 10209, 16, 726, 1314, 942, 18604, 1519, 16, 374, 537, 478, 46217, 23960, 297, 1476, 910, 537, 478, 15664, 397, 8981, 343, 289, 30942, 491, 470, 322, 6203, 3461, 1634, 15852, 428, 8396, 519, 1286, 3598, 16, 785, 282, 26834, 11981, 6940, 7572, 21985, 37282, 21880, 4761, 4350, 510, 478, 33116, 22263, 30, 1483, 24303, 14262, 861, 385, 25014, 8621, 353, 16, 3858, 8309, 282, 3609, 17, 25, 309, 1967, 27766, 16, 6295, 1033, 24665, 549, 16, 515, 289, 329, 1129, 912, 16171, 8593, 282, 30019, 582, 764, 309, 5284, 18, 3397, 18326, 1756, 9225, 46348, 478, 672, 1394, 273, 3462, 320, 1162, 816, 470, 281, 7070, 267, 403, 957, 5620, 18, 22158, 269, 411, 28636, 5355, 8621, 478, 1295, 551, 1724, 711, 470, 17396, 3173, 7756, 15474, 2742, 3136, 34273, 290, 8674, 312, 29626, 1212, 3948, 34456, 7601, 576, 764, 4843, 2479, 16, 28, 3763, 289, 2558, 804, 1617, 19465, 35263, 519, 4843, 8066, 3763, 18, 20876, 4269, 1559, 26914, 277, 478, 1295, 551, 1724, 711, 910, 1029, 3164, 282, 3609, 17, 25, 726, 1272, 5196, 16, 28474, 349, 481, 808, 4843, 7181, 27, 3763, 16, 411, 1639, 309, 42094, 13205, 46915, 12776, 3711, 4843, 26, 16, 26, 3763, 18, 439, 13150, 4367, 1756, 28774, 35020, 281, 39489, 1265, 323, 4048, 3509, 345, 478, 40747, 504, 11496, 861, 13758, 4858, 761, 17704, 2203, 16, 39174, 476, 4028, 282, 17063, 289, 18866, 1027, 1595, 4211, 16, 35333, 282, 19842, 2244, 309, 1967, 27766, 1223, 4843, 26, 3763, 16, 515, 722, 7343, 49234, 47568, 10821, 3763, 13, 2702, 541, 924, 16, 753, 9737, 3299, 4518, 17, 21325, 32081, 7143, 289, 25111, 941, 8994, 263, 4048, 3509, 345, 428, 43490, 2909, 4388, 571, 1383, 2128, 382, 18, 2, 1, 87, 1456, 81, 2448, 30, 42794, 48618, 343, 30866, 287, 2725, 19218, 282, 11441, 345, 283, 845, 2529, 289, 939, 3539, 15016, 35107, 309, 19843, 1234, 15319, 282, 21925, 1310, 1212, 12157, 409, 19121, 555, 19753, 569, 2825, 17382, 5133, 378, 743, 401, 48773, 289, 6276, 282, 7504, 3098, 19702, 18, 31224, 30, 822, 884, 287, 2725, 19218, 16, 349, 1421, 281, 16401, 4177, 590, 2711, 489, 764, 3441, 11854, 454, 17382, 5133, 378, 743, 401, 48773, 1624, 4424, 349, 1939, 4776, 6276, 282, 23708, 300, 14452, 1234, 15319, 18, 999, 4378, 13440, 282, 23356, 19702, 282, 12157, 409, 30866, 287, 14894, 29615, 281, 7813, 761, 34067, 323, 10541, 21608, 18, 365, 12157, 409, 7504, 3098, 510, 481, 726, 23708, 300, 16, 367, 1548, 378, 743, 401, 756, 16, 13649, 16, 16017, 3308, 2725, 399, 2344, 282, 16354, 16, 21633, 10133, 749, 7811, 322, 15837, 18, 20012, 575, 16108, 3860, 30866, 394, 16, 942, 639, 13446, 6993, 8111, 434, 289, 38997, 14702, 12899, 12706, 37358, 18, 403, 2222, 575, 16, 14887, 9043, 6773, 7316, 332, 17395, 18, 18206, 282, 6031, 32079, 1421, 281, 16401, 4177, 25257, 42905, 1612, 289, 764, 10490, 587, 2736, 977, 411, 17, 431, 16682, 18, 365, 6031, 575, 16, 753, 27855, 9764, 2725, 399, 2344, 16, 722, 12817, 536, 14497, 21861, 3711, 25645, 2364, 4256, 3139, 1612, 18, 740, 3433, 16410, 2353, 8689, 22597, 18, 365, 4056, 4623, 30866, 287, 906, 2734, 14377, 968, 16, 2734, 42639, 326, 15197, 16, 3440, 3550, 977, 289, 16, 428, 13391, 16, 9635, 4318, 2159, 16432, 282, 2948, 309, 47366, 18, 41510, 6088, 349, 2725, 399, 2344, 477, 12932, 1286, 30, 22, 18, 2046, 378, 743, 401, 756, 43959, 289, 322, 15837, 18, 5890, 334, 19955, 4601, 272, 639, 6218, 16, 374, 25486, 282, 803, 8267, 764, 1271, 4642, 1463, 18, 17580, 10080, 870, 12980, 26851, 18, 5181, 16, 289, 30866, 287, 16, 48253, 2615, 4601, 16, 6709, 16, 2734, 20086, 27460, 16, 1795, 743, 7739, 2827, 8714, 2695, 968, 18, 999, 374, 2725, 19218, 289, 36520, 5519, 18, 403, 2222, 575, 16, 2725, 19218, 567, 7422, 281, 781, 11342, 965, 20663, 18, 35832, 575, 4623, 510, 1286, 30, 22, 510, 322, 9466, 6528, 18, 25486, 16, 2826, 16, 45300, 332, 7739, 2825, 16, 367, 971, 282, 970, 575, 9525, 2742, 289, 9258, 4833, 15958, 18, 459, 1215, 1373, 13487, 1240, 448, 12755, 18, 27252, 320, 2203, 502, 21857, 309, 1040, 266, 16, 502, 652, 32064, 505, 18, 1012, 4610, 1453, 27437, 9343, 2111, 326, 21427, 640, 400, 16, 367, 30866, 298, 18187, 4693, 965, 282, 2038, 289, 23625, 1743, 519, 9764, 282, 281, 781, 16, 367, 1974, 281, 1498, 289, 282, 8267, 18, 2725, 19218, 6276, 282, 23708, 300, 16, 988, 1441, 31834, 281, 7813, 761, 439, 278, 271, 17039, 323, 10541, 21608, 16, 282, 3437, 10080, 292, 558, 3979, 1027, 2689, 454, 44995, 307, 4824, 473, 27, 30 ]
[ 25, 16, 1061, 30, 27, 16, 1286, 30, 20, 814, 35832, 17099, 9691, 329, 2725, 399, 2344, 289, 10541, 21608, 430, 30, 20, 282, 4356, 11854, 382, 18, 1665, 367, 42969, 1712, 10552, 282, 1034, 24347, 4640, 464, 14382, 31004, 324, 6318, 282, 1360, 7242, 390, 473, 1584, 31655, 282, 37131, 962, 49266, 27060, 582, 2263, 48143, 4712, 4288, 6778, 895, 46865, 8187, 382, 18, 1367, 803, 282, 10882, 4848, 9680, 42540, 44165, 16772, 712, 18, 824, 505, 3163, 16, 349, 808, 37358, 281, 27060, 761, 20662, 8187, 343, 9309, 7109, 445, 2089, 9814, 8187, 454, 50057, 18, 478, 40954, 16, 481, 4243, 411, 17, 431, 3217, 38674, 8187, 343, 510, 9915, 318, 16, 2588, 1314, 15123, 14382, 16, 510, 1109, 16772, 712, 478, 563, 1605, 861, 510, 403, 2222, 575, 6280, 435, 1423, 4119, 289, 31832, 4139, 22701, 18, 608, 31004, 324, 298, 1406, 1188, 2384, 1313, 639, 2846, 8187, 382, 16, 6177, 475, 3531, 18, 1178, 567, 808, 4466, 329, 1710, 17051, 4716, 9915, 318, 309, 1949, 17, 41776, 16, 502, 481, 9093, 18, 740, 502, 16, 374, 4983, 282, 35107, 477, 4712, 4288, 16, 8874, 349, 20241, 16321, 18, 14382, 703, 332, 697, 7109, 445, 18, 2465, 3073, 16, 2900, 282, 3182, 22122, 507, 764, 322, 639, 18, 14438, 20184, 16, 374, 34976, 3711, 2992, 4601, 6281, 3212, 8187, 761, 16, 453, 428, 722, 8187, 382, 1139, 322, 17508, 414, 35059, 874, 18, 459, 656, 282, 6031, 5658, 10498, 423, 1186, 697, 309, 9258, 4833, 15958, 18, 629, 25794, 1719, 16, 428, 282, 1574, 4096, 31004, 324, 6318, 9253, 8831, 13635, 1066, 4612, 519, 2887, 3915, 289, 935, 9219, 16171, 309, 8955, 861, 1665, 367, 39914, 17506, 478, 1464, 24347, 4640, 354, 470, 8973, 11659, 1604, 15441, 322, 757, 322, 16012, 10133, 19753, 569, 2203, 18, 2046, 39472, 2094, 5199, 8973, 322, 2564, 289, 685, 26899, 1390, 14484, 339, 290, 970, 16, 374, 14382, 475, 17, 2767, 46621, 18, 415, 505, 3163, 16, 48618, 343, 38563, 10529, 309, 28531, 27503, 10133, 478, 1464, 24347, 4640, 354, 470, 282, 12815, 476, 600, 1484, 473, 275, 11877, 478, 301, 342, 919, 470, 14963, 478, 1009, 395, 7474, 11523, 478, 25855, 13904, 1719, 22122, 3032, 16, 510, 1109, 11659, 1604, 15441, 478, 20651, 2818, 4246, 8546, 861, 510, 42734, 289, 2280, 1744, 349, 5022, 6250, 2661, 16, 988, 23054, 2874, 32752, 5, 3069, 36250, 16, 282, 478, 20028, 464, 470, 656, 2669, 14725, 282, 30107, 281, 38200, 567, 808, 529, 43535, 432, 42720, 18, 629, 685, 3893, 16, 374, 14382, 2156, 18822, 847, 477, 1360, 7739, 5793, 16, 4660, 300, 808, 289, 4539, 16, 374, 2286, 306, 18322, 1626, 506, 281, 1420, 27883, 11308, 18, 740, 10133, 10416, 1309, 16, 367, 784, 1513, 639, 309, 16314, 17506, 6780, 18, 1367, 300, 747, 16, 785, 6851, 16, 374, 31004, 324, 6318, 46621, 5, 629, 20347, 16, 374, 14382, 281, 26434, 13663, 266, 813, 282, 4505, 38303, 8267, 1279, 478, 1009, 395, 16968, 861, 1397, 393, 16, 840, 45877, 43674, 5, 439, 16, 827, 9553, 41701, 289, 20850, 16, 4128, 4292, 2253, 722, 334, 41240, 309, 6633, 5778, 272, 861, 967, 24591, 282, 7522, 309, 26567, 4551, 16, 31004, 324, 6318, 19355, 282, 1345, 345, 731, 16, 988, 49752, 19329, 451, 10133, 1251, 478, 50157, 496, 470, 289, 478, 563, 455, 342, 496, 1614, 332, 13432, 861, 2877, 48618, 343, 15069, 8538, 309, 12544, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 22122, 507, 1492, 2, 1, 87, 1456, 81, 2448, 30, 50098, 429, 16334, 718, 14758, 840, 1103, 2773, 519, 1939, 5759, 779, 16, 367, 371, 31900, 4183, 4282, 2891, 16379, 6524, 9654, 21788, 2497, 30249, 2950, 406, 22697, 38083, 18, 365, 11671, 1045, 16, 334, 35854, 395, 9001, 9620, 16, 19585, 4162, 2900, 30249, 14481, 1533, 16, 25, 2634, 1671, 18, 2255, 2197, 411, 1967, 8347, 15774, 322, 906, 7997, 798, 282, 31974, 7143, 16, 515, 41945, 4419, 3153, 16, 374, 2764, 19566, 18, 28616, 37327, 28349, 9620, 281, 18869, 9037, 4770, 680, 22081, 5885, 18, 31224, 30, 22681, 1175, 4137, 6732, 6455, 32639, 9318, 334, 6524, 464, 2384, 343, 1748, 455, 519, 3915, 1939, 6568, 779, 18, 478, 14102, 2670, 306, 32639, 8183, 4696, 16334, 718, 14758, 519, 5741, 3972, 1939, 6568, 779, 910, 510, 1109, 6732, 309, 11073, 10914, 5355, 7067, 334, 7446, 9526, 16523, 5348, 282, 18247, 2533, 18, 4756, 7064, 3857, 43740, 700, 4262, 1247, 1103, 917, 4696, 2384, 343, 1748, 455, 16, 1586, 9728, 519, 5741, 3972, 11826, 779, 18, 18919, 19134, 309, 5734, 2083, 4896, 7640, 23, 5600, 2791, 18, 985, 25865, 282, 12838, 978, 779, 39166, 451, 10575, 1175, 16, 1220, 7216, 2204, 2610, 334, 6524, 464, 2384, 343, 1748, 455, 16, 1335, 2559, 323, 8752, 7240, 30120, 6393, 11182, 1488, 16, 25, 3763, 4481, 18, 478, 983, 18296, 274, 16334, 2818, 3131, 1918, 14601, 448, 2644, 5471, 6563, 1033, 1061, 3763, 4481, 18, 1598, 1129, 816, 16, 22, 3763, 4481, 12860, 670, 3118, 12974, 2385, 16334, 1703, 3131, 5325, 14601, 448, 27594, 18, 3739, 1033, 430, 16, 28, 3763, 4481, 5471, 6563, 14601, 448, 2644, 749, 23563, 33410, 4076, 910, 510, 12002, 282, 4328, 476, 18, 2949, 924, 16, 4137, 6732, 6455, 15333, 281, 11826, 779, 21788, 2497, 19134, 16465, 38083, 371, 31900, 4183, 4282, 519, 9332, 773, 23399, 986, 18, 478, 4348, 22457, 6911, 7272, 2702, 2693, 16, 9721, 808, 870, 3471, 4851, 7272, 28201, 18, 1787, 8434, 22865, 24529, 22688, 726, 281, 430, 3612, 11826, 779, 6622, 25388, 22443, 9163, 3741, 2559, 8434, 5781, 4481, 16, 282, 4810, 9025, 21788, 4368, 3094, 14137, 49834, 16, 1586, 840, 6495, 506, 371, 31900, 4183, 4282, 289, 6524, 23997, 519, 9332, 773, 23399, 986, 910, 376, 1109, 492, 18, 3034, 1429, 19134, 840, 1342, 22307, 5170, 16, 17111, 411, 13098, 16201, 6232, 21251, 37158, 4282, 18, 824, 3761, 8308, 49050, 16, 35037, 16023, 6232, 21251, 37158, 567, 7422, 19936, 978, 779, 14231, 1533, 24095, 2791, 18, 6592, 47902, 16, 961, 14268, 4770, 16, 19585, 4162, 19134, 14481, 282, 11826, 1045, 1533, 1061, 6091, 10597, 16, 282, 26155, 1045, 510, 1533, 1488, 8066, 2791, 16, 282, 25831, 1045, 510, 2287, 2418, 23, 10597, 18, 817, 1038, 9299, 16, 374, 6524, 354, 840, 4459, 416, 16, 1747, 3744, 5559, 18680, 4481, 18, 478, 46937, 9117, 282, 4698, 3678, 17126, 1110, 16, 1085 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25, 16, 1061, 30, 27, 16, 1286, 30, 20, 814, 35832, 17099, 9691, 329, 2725, 399, 2344, 289, 10541, 21608, 430, 30, 20, 282, 4356, 11854, 382, 18, 1665, 367, 42969, 1712, 10552, 282, 1034, 24347, 4640, 464, 14382, 31004, 324, 6318, 282, 1360, 7242, 390, 473, 1584, 31655, 282, 37131, 962, 49266, 27060, 582, 2263, 48143, 4712, 4288, 6778, 895, 46865, 8187, 382, 18, 1367, 803, 282, 10882, 4848, 9680, 42540, 44165, 16772, 712, 18, 824, 505, 3163, 16, 349, 808, 37358, 281, 27060, 761, 20662, 8187, 343, 9309, 7109, 445, 2089, 9814, 8187, 454, 50057, 18, 478, 40954, 16, 481, 4243, 411, 17, 431, 3217, 38674, 8187, 343, 510, 9915, 318, 16, 2588, 1314, 15123, 14382, 16, 510, 1109, 16772, 712, 478, 563, 1605, 861, 510, 403, 2222, 575, 6280, 435, 1423, 4119, 289, 31832, 4139, 22701, 18, 608, 31004, 324, 298, 1406, 1188, 2384, 1313, 639, 2846, 8187, 382, 16, 6177, 475, 3531, 18, 1178, 567, 808, 4466, 329, 1710, 17051, 4716, 9915, 318, 309, 1949, 17, 41776, 16, 502, 481, 9093, 18, 740, 502, 16, 374, 4983, 282, 35107, 477, 4712, 4288, 16, 8874, 349, 20241, 16321, 18, 14382, 703, 332, 697, 7109, 445, 18, 2465, 3073, 16, 2900, 282, 3182, 22122, 507, 764, 322, 639, 18, 14438, 20184, 16, 374, 34976, 3711, 2992, 4601, 6281, 3212, 8187, 761, 16, 453, 428, 722, 8187, 382, 1139, 322, 17508, 414, 35059, 874, 18, 459, 656, 282, 6031, 5658, 10498, 423, 1186, 697, 309, 9258, 4833, 15958, 18, 629, 25794, 1719, 16, 428, 282, 1574, 4096, 31004, 324, 6318, 9253, 8831, 13635, 1066, 4612, 519, 2887, 3915, 289, 935, 9219, 16171, 309, 8955, 861, 1665, 367, 39914, 17506, 478, 1464, 24347, 4640, 354, 470, 8973, 11659, 1604, 15441, 322, 757, 322, 16012, 10133, 19753, 569, 2203, 18, 2046, 39472, 2094, 5199, 8973, 322, 2564, 289, 685, 26899, 1390, 14484, 339, 290, 970, 16, 374, 14382, 475, 17, 2767, 46621, 18, 415, 505, 3163, 16, 48618, 343, 38563, 10529, 309, 28531, 27503, 10133, 478, 1464, 24347, 4640, 354, 470, 282, 12815, 476, 600, 1484, 473, 275, 11877, 478, 301, 342, 919, 470, 14963, 478, 1009, 395, 7474, 11523, 478, 25855, 13904, 1719, 22122, 3032, 16, 510, 1109, 11659, 1604, 15441, 478, 20651, 2818, 4246, 8546, 861, 510, 42734, 289, 2280, 1744, 349, 5022, 6250, 2661, 16, 988, 23054, 2874, 32752, 5, 3069, 36250, 16, 282, 478, 20028, 464, 470, 656, 2669, 14725, 282, 30107, 281, 38200, 567, 808, 529, 43535, 432, 42720, 18, 629, 685, 3893, 16, 374, 14382, 2156, 18822, 847, 477, 1360, 7739, 5793, 16, 4660, 300, 808, 289, 4539, 16, 374, 2286, 306, 18322, 1626, 506, 281, 1420, 27883, 11308, 18, 740, 10133, 10416, 1309, 16, 367, 784, 1513, 639, 309, 16314, 17506, 6780, 18, 1367, 300, 747, 16, 785, 6851, 16, 374, 31004, 324, 6318, 46621, 5, 629, 20347, 16, 374, 14382, 281, 26434, 13663, 266, 813, 282, 4505, 38303, 8267, 1279, 478, 1009, 395, 16968, 861, 1397, 393, 16, 840, 45877, 43674, 5, 439, 16, 827, 9553, 41701, 289, 20850, 16, 4128, 4292, 2253, 722, 334, 41240, 309, 6633, 5778, 272, 861, 967, 24591, 282, 7522, 309, 26567, 4551, 16, 31004, 324, 6318, 19355, 282, 1345, 345, 731, 16, 988, 49752, 19329, 451, 10133, 1251, 478, 50157, 496, 470, 289, 478, 563, 455, 342, 496, 1614, 332, 13432, 861, 2877, 48618, 343, 15069, 8538, 309, 12544, 18, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 22122, 507, 1492, 2, 1, 87, 1456, 81, 2448, 30, 50098, 429, 16334, 718, 14758, 840, 1103, 2773, 519, 1939, 5759, 779, 16, 367, 371, 31900, 4183, 4282, 2891, 16379, 6524, 9654, 21788, 2497, 30249, 2950, 406, 22697, 38083, 18, 365, 11671, 1045, 16, 334, 35854, 395, 9001, 9620, 16, 19585, 4162, 2900, 30249, 14481, 1533, 16, 25, 2634, 1671, 18, 2255, 2197, 411, 1967, 8347, 15774, 322, 906, 7997, 798, 282, 31974, 7143, 16, 515, 41945, 4419, 3153, 16, 374, 2764, 19566, 18, 28616, 37327, 28349, 9620, 281, 18869, 9037, 4770, 680, 22081, 5885, 18, 31224, 30, 22681, 1175, 4137, 6732, 6455, 32639, 9318, 334, 6524, 464, 2384, 343, 1748, 455, 519, 3915, 1939, 6568, 779, 18, 478, 14102, 2670, 306, 32639, 8183, 4696, 16334, 718, 14758, 519, 5741, 3972, 1939, 6568, 779, 910, 510, 1109, 6732, 309, 11073, 10914, 5355, 7067, 334, 7446, 9526, 16523, 5348, 282, 18247, 2533, 18, 4756, 7064, 3857, 43740, 700, 4262, 1247, 1103, 917, 4696, 2384, 343, 1748, 455, 16, 1586, 9728, 519, 5741, 3972, 11826, 779, 18, 18919, 19134, 309, 5734, 2083, 4896, 7640, 23, 5600, 2791, 18, 985, 25865, 282, 12838, 978, 779, 39166, 451, 10575, 1175, 16, 1220, 7216, 2204, 2610, 334, 6524, 464, 2384, 343, 1748, 455, 16, 1335, 2559, 323, 8752, 7240, 30120, 6393, 11182, 1488, 16, 25, 3763, 4481, 18, 478, 983, 18296, 274, 16334, 2818, 3131, 1918, 14601, 448, 2644, 5471, 6563, 1033, 1061, 3763, 4481, 18, 1598, 1129, 816, 16, 22, 3763, 4481, 12860, 670, 3118, 12974, 2385, 16334, 1703, 3131, 5325, 14601, 448, 27594, 18, 3739, 1033, 430, 16, 28, 3763, 4481, 5471, 6563, 14601, 448, 2644, 749, 23563, 33410, 4076, 910, 510, 12002, 282, 4328, 476, 18, 2949, 924, 16, 4137, 6732, 6455, 15333, 281, 11826, 779, 21788, 2497, 19134, 16465, 38083, 371, 31900, 4183, 4282, 519, 9332, 773, 23399, 986, 18, 478, 4348, 22457, 6911, 7272, 2702, 2693, 16, 9721, 808, 870, 3471, 4851, 7272, 28201, 18, 1787, 8434, 22865, 24529, 22688, 726, 281, 430, 3612, 11826, 779, 6622, 25388, 22443, 9163, 3741, 2559, 8434, 5781, 4481, 16, 282, 4810, 9025, 21788, 4368, 3094, 14137, 49834, 16, 1586, 840, 6495, 506, 371, 31900, 4183, 4282, 289, 6524, 23997, 519, 9332, 773, 23399, 986, 910, 376, 1109, 492, 18, 3034, 1429, 19134, 840, 1342, 22307, 5170, 16, 17111, 411, 13098, 16201, 6232, 21251, 37158, 4282, 18, 824, 3761, 8308, 49050, 16, 35037, 16023, 6232, 21251, 37158, 567, 7422, 19936, 978, 779, 14231, 1533, 24095, 2791, 18, 6592, 47902, 16, 961, 14268, 4770, 16, 19585, 4162, 19134, 14481, 282, 11826, 1045, 1533, 1061, 6091, 10597, 16, 282, 26155, 1045, 510, 1533, 1488, 8066, 2791, 16, 282, 25831, 1045, 510, 2287, 2418, 23, 10597, 18, 817, 1038, 9299, 16, 374, 6524, 354, 840, 4459, 416, 16, 1747, 3744, 5559, 18680, 4481, 18, 478, 46937, 9117, 282, 4698, 3678, 17126, 1110, 16, 1085 ]
[ 2826, 17182, 910, 510, 1109, 5037, 4000, 18, 378, 1259, 485, 309, 4282, 840, 6495, 506, 38083, 477, 1028, 268, 4156, 466, 3259, 4388, 304, 322, 3230, 23399, 812, 7310, 26768, 6232, 21251, 37158, 41064, 434, 4186, 16, 42004, 282, 9804, 349, 2992, 20981, 779, 16, 11563, 30524, 1045, 12522, 349, 1574, 6524, 2840, 18, 365, 1175, 1658, 16, 25, 3763, 2533, 282, 7353, 519, 1032, 986, 18, 824, 3761, 8308, 49050, 16, 282, 4145, 1045, 20197, 16, 24, 9, 2950, 406, 11017, 36601, 366, 6984, 2533, 282, 7353, 519, 2261, 986, 18, 824, 8872, 6705, 779, 16, 667, 16, 28, 3763, 1135, 473, 4234, 16, 25, 9, 4186, 13, 6984, 18680, 4803, 6232, 21251, 37158, 18, 3397, 282, 1175, 21788, 3589, 31861, 6524, 38035, 14346, 406, 10870, 2078, 16, 309, 2533, 18133, 334, 9130, 2594, 289, 309, 2533, 6975, 16, 19194, 274, 5132, 360, 19134, 23005, 7245, 18, 824, 3761, 8308, 49050, 16, 282, 4784, 2875, 2533, 519, 2261, 986, 2388, 19134, 10047, 2364, 24701, 18, 740, 4162, 978, 30249, 282, 11063, 12466, 519, 4319, 1326, 1342, 22307, 3108, 14986, 44054, 2791, 18, 10110, 1038, 2815, 16, 374, 7441, 48274, 4364, 13064, 448, 16125, 334, 289, 5570, 10156, 4965, 1286, 9, 541, 4481, 477, 16865, 289, 24721, 13472, 18, 478, 33716, 3426, 274, 17483, 309, 35424, 547, 5814, 670, 449, 40868, 6946, 4419, 20881, 19454, 2497, 27594, 16, 5169, 8070, 16419, 309, 48274, 3271, 17719, 13064, 416, 16125, 4965, 1286, 9, 36397, 910, 510, 1109, 6732, 18, 817, 1038, 9299, 16, 374, 827, 6956, 477, 16865, 670, 24721, 13472, 27176, 19454, 454, 334, 11924, 3429, 582, 282, 1533, 16, 25, 7418, 502, 7441, 6721, 281, 4643, 2840, 18828, 282, 1032, 16, 25, 7418, 367, 6598, 21704, 1286, 5999, 365, 12938, 8099, 6365, 1175, 11303, 37880, 4083, 25865, 16, 374, 492, 322, 8493, 19961, 541, 14574, 4696, 48274, 2682, 19454, 382, 18, 7886, 1070, 4696, 2384, 343, 1748, 455, 289, 12638, 28349, 2394, 15844, 8940, 8266, 15409, 2682, 22865, 24529, 289, 18412, 4999, 38703, 2496, 4481, 281, 9154, 18, 478, 682, 545, 324, 33597, 16, 13174, 549, 1372, 334, 1514, 27360, 510, 289, 334, 32084, 8750, 617, 16, 289, 334, 15409, 9781, 22865, 24529, 18, 29045, 1513, 27652, 17516, 649, 6633, 13354, 2792, 46694, 3281, 910, 510, 1109, 6732, 18, 421, 665, 3048, 549, 16, 4266, 14697, 18, 478, 27064, 343, 1748, 300, 14127, 309, 8156, 4481, 16, 282, 1639, 8542, 2992, 6511, 16, 1542, 25433, 4277, 30120, 32026, 1423, 4119, 18, 740, 6439, 282, 970, 16, 374, 1314, 475, 1143, 5781, 4481, 16, 294, 6095, 16, 18127, 3236, 3348, 13472, 18, 967, 803, 3665, 16, 374, 281, 13849, 979, 15784, 613, 5040, 1354, 5169, 6353, 30839, 18, 996, 374, 942, 687, 47263, 2089, 24877, 910, 510, 2548, 30936, 20768, 3583, 1624, 11309, 49218, 39701, 5579, 17, 14723, 16, 11350, 17, 13522, 3336, 289, 14951, 3281, 18, 1397, 5327, 12512, 282, 1533, 16, 25, 2634, 2791, 16, 502, 678, 1320, 7062, 890, 16, 867, 1033, 827, 4498, 3419, 290, 12278, 1942, 1041, 3494, 4481, 16, 26698, 20768, 3583, 18, 4210, 32251, 1624, 36641, 14714, 11806, 8347, 6272, 289, 16447, 10712, 12202, 911, 33843, 23880, 1140, 365, 1464, 1605, 1624, 2548, 16, 374, 15605, 33371, 11944, 282, 8156, 5169, 510, 481, 1904, 18, 740, 12119, 21522, 36133, 13172, 322, 19357, 18, 478, 1358, 373, 322, 13856, 300, 44458, 6152, 924, 16, 374, 1533, 16, 25, 2634, 2791, 840, 35102, 24825, 1683, 541, 6067, 4183, 16, 367, 13037, 289, 28757, 4282, 18, 3492, 17970, 46889, 16, 518, 1244, 530, 289, 749, 37215, 24825, 332, 18, 459, 1085, 322, 17970, 16, 1542, 11617, 322, 5807, 341, 910, 510, 2548, 32251, 18, 23480, 1340, 575, 4266, 16, 374, 9837, 478, 36375, 451, 3049, 293, 470, 942, 25597, 428, 18653, 4770, 680, 14016, 18, 478, 4441, 16, 2091, 16, 27803, 549, 21982, 18, 1681, 20449, 360, 2891, 16, 13772, 360, 924, 16, 1085, 773, 840, 18, 740, 16, 3848, 1223, 16, 6732, 16, 2091, 16, 583, 10222, 309, 11031, 18, 7891, 902, 451, 1907, 16, 5807, 4523, 18, 7042, 5169, 19763, 3961, 289, 1747, 23791, 18, 3647, 518, 16, 4106, 322, 1713, 1007, 870, 19134, 16, 1747, 6532, 16, 374, 5494, 6554, 475, 17, 2767, 24924, 34264, 290, 15206, 289, 785, 17, 1796, 3678, 40716, 289, 519, 1129, 910, 510, 5273, 6096, 25610, 2931, 1624, 2615, 9541, 17, 22079, 16986, 9622, 22393, 7921, 18, 12726, 1967, 15774, 16, 961, 322, 898, 7997, 1007, 282, 3437, 7745, 31974, 7143, 16, 14481, 20641, 8984, 7512, 18, 478, 1182, 2738, 267, 1505, 11608, 309, 25388, 1335, 7272, 349, 1421, 779, 2452, 530, 41625, 16, 25, 5096, 2791, 910, 510, 3828, 4770, 396, 18001, 14600, 309, 49834, 49397, 18, 41945, 17684, 28349, 4830, 6396, 1293, 3139, 18, 478, 6014, 503, 891, 282, 4871, 15046, 10059, 309, 11826, 17, 2932, 2932, 3142, 282, 2630, 281, 29749, 10326, 5012, 10535, 16377, 282, 1767, 2792, 5006, 322, 14495, 18, 12849, 11359, 15287, 43694, 1007, 282, 8220, 546, 4830, 289, 5439, 16, 374, 289, 4040, 17812, 18942, 3741, 15774, 910, 376, 2815, 8099, 6365, 11303, 37880, 4083, 18, 365, 1423, 3678, 5037, 3569, 28085, 347, 6729, 20622, 925, 268, 4725, 16, 374, 11755, 14353, 334, 12278, 22865, 24529, 1747, 38908, 282, 7064, 282, 43186, 10286, 18, 824, 505, 3163, 16, 33134, 1272, 35216, 376, 334, 2384, 343, 1748, 1918, 289, 30249, 277, 309, 4183, 4282, 18, 7200, 14782, 1038, 26596, 3775, 7469, 4076, 16334, 718, 14758, 309, 24227, 43873, 4626, 4282, 281, 505, 1949, 22653, 2514, 6764, 16, 367, 322, 281, 3437, 11884, 16, 428, 1314, 18, 365, 44743, 11755, 47255, 1747, 17626, 1272, 3741, 6974, 28029, 651, 21788, 3412, 3094, 11601, 6524, 354, 371, 31900, 4183, 4282, 289, 21788, 3412, 6524, 354, 411, 4076, 16334, 718, 14758, 371, 31900, 6740, 4282, 18, 478, 630, 636, 7272, 1747, 8527, 6149, 411, 15046, 10059, 910, 376, 9299, 20622, 925, 268, 18, 602, 4449, 14076, 3412, 3094, 11601, 6524, 354, 309, 4183, 4282, 1747, 6524, 23997, 282, 4599, 2533, 16, 961, 33506, 281, 430, 3612, 11826, 779, 16, 15135, 8099, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 29971, 3771, 470, 309, 21110, 5375, 36076, 4336, 847, 764, 2236, 47490, 2684, 1887, 289, 478, 370, 613, 17, 13711, 1887, 861, 385, 14503, 18350, 505, 360, 9515, 294, 3370, 18321, 4623, 15279, 10106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2826, 17182, 910, 510, 1109, 5037, 4000, 18, 378, 1259, 485, 309, 4282, 840, 6495, 506, 38083, 477, 1028, 268, 4156, 466, 3259, 4388, 304, 322, 3230, 23399, 812, 7310, 26768, 6232, 21251, 37158, 41064, 434, 4186, 16, 42004, 282, 9804, 349, 2992, 20981, 779, 16, 11563, 30524, 1045, 12522, 349, 1574, 6524, 2840, 18, 365, 1175, 1658, 16, 25, 3763, 2533, 282, 7353, 519, 1032, 986, 18, 824, 3761, 8308, 49050, 16, 282, 4145, 1045, 20197, 16, 24, 9, 2950, 406, 11017, 36601, 366, 6984, 2533, 282, 7353, 519, 2261, 986, 18, 824, 8872, 6705, 779, 16, 667, 16, 28, 3763, 1135, 473, 4234, 16, 25, 9, 4186, 13, 6984, 18680, 4803, 6232, 21251, 37158, 18, 3397, 282, 1175, 21788, 3589, 31861, 6524, 38035, 14346, 406, 10870, 2078, 16, 309, 2533, 18133, 334, 9130, 2594, 289, 309, 2533, 6975, 16, 19194, 274, 5132, 360, 19134, 23005, 7245, 18, 824, 3761, 8308, 49050, 16, 282, 4784, 2875, 2533, 519, 2261, 986, 2388, 19134, 10047, 2364, 24701, 18, 740, 4162, 978, 30249, 282, 11063, 12466, 519, 4319, 1326, 1342, 22307, 3108, 14986, 44054, 2791, 18, 10110, 1038, 2815, 16, 374, 7441, 48274, 4364, 13064, 448, 16125, 334, 289, 5570, 10156, 4965, 1286, 9, 541, 4481, 477, 16865, 289, 24721, 13472, 18, 478, 33716, 3426, 274, 17483, 309, 35424, 547, 5814, 670, 449, 40868, 6946, 4419, 20881, 19454, 2497, 27594, 16, 5169, 8070, 16419, 309, 48274, 3271, 17719, 13064, 416, 16125, 4965, 1286, 9, 36397, 910, 510, 1109, 6732, 18, 817, 1038, 9299, 16, 374, 827, 6956, 477, 16865, 670, 24721, 13472, 27176, 19454, 454, 334, 11924, 3429, 582, 282, 1533, 16, 25, 7418, 502, 7441, 6721, 281, 4643, 2840, 18828, 282, 1032, 16, 25, 7418, 367, 6598, 21704, 1286, 5999, 365, 12938, 8099, 6365, 1175, 11303, 37880, 4083, 25865, 16, 374, 492, 322, 8493, 19961, 541, 14574, 4696, 48274, 2682, 19454, 382, 18, 7886, 1070, 4696, 2384, 343, 1748, 455, 289, 12638, 28349, 2394, 15844, 8940, 8266, 15409, 2682, 22865, 24529, 289, 18412, 4999, 38703, 2496, 4481, 281, 9154, 18, 478, 682, 545, 324, 33597, 16, 13174, 549, 1372, 334, 1514, 27360, 510, 289, 334, 32084, 8750, 617, 16, 289, 334, 15409, 9781, 22865, 24529, 18, 29045, 1513, 27652, 17516, 649, 6633, 13354, 2792, 46694, 3281, 910, 510, 1109, 6732, 18, 421, 665, 3048, 549, 16, 4266, 14697, 18, 478, 27064, 343, 1748, 300, 14127, 309, 8156, 4481, 16, 282, 1639, 8542, 2992, 6511, 16, 1542, 25433, 4277, 30120, 32026, 1423, 4119, 18, 740, 6439, 282, 970, 16, 374, 1314, 475, 1143, 5781, 4481, 16, 294, 6095, 16, 18127, 3236, 3348, 13472, 18, 967, 803, 3665, 16, 374, 281, 13849, 979, 15784, 613, 5040, 1354, 5169, 6353, 30839, 18, 996, 374, 942, 687, 47263, 2089, 24877, 910, 510, 2548, 30936, 20768, 3583, 1624, 11309, 49218, 39701, 5579, 17, 14723, 16, 11350, 17, 13522, 3336, 289, 14951, 3281, 18, 1397, 5327, 12512, 282, 1533, 16, 25, 2634, 2791, 16, 502, 678, 1320, 7062, 890, 16, 867, 1033, 827, 4498, 3419, 290, 12278, 1942, 1041, 3494, 4481, 16, 26698, 20768, 3583, 18, 4210, 32251, 1624, 36641, 14714, 11806, 8347, 6272, 289, 16447, 10712, 12202, 911, 33843, 23880, 1140, 365, 1464, 1605, 1624, 2548, 16, 374, 15605, 33371, 11944, 282, 8156, 5169, 510, 481, 1904, 18, 740, 12119, 21522, 36133, 13172, 322, 19357, 18, 478, 1358, 373, 322, 13856, 300, 44458, 6152, 924, 16, 374, 1533, 16, 25, 2634, 2791, 840, 35102, 24825, 1683, 541, 6067, 4183, 16, 367, 13037, 289, 28757, 4282, 18, 3492, 17970, 46889, 16, 518, 1244, 530, 289, 749, 37215, 24825, 332, 18, 459, 1085, 322, 17970, 16, 1542, 11617, 322, 5807, 341, 910, 510, 2548, 32251, 18, 23480, 1340, 575, 4266, 16, 374, 9837, 478, 36375, 451, 3049, 293, 470, 942, 25597, 428, 18653, 4770, 680, 14016, 18, 478, 4441, 16, 2091, 16, 27803, 549, 21982, 18, 1681, 20449, 360, 2891, 16, 13772, 360, 924, 16, 1085, 773, 840, 18, 740, 16, 3848, 1223, 16, 6732, 16, 2091, 16, 583, 10222, 309, 11031, 18, 7891, 902, 451, 1907, 16, 5807, 4523, 18, 7042, 5169, 19763, 3961, 289, 1747, 23791, 18, 3647, 518, 16, 4106, 322, 1713, 1007, 870, 19134, 16, 1747, 6532, 16, 374, 5494, 6554, 475, 17, 2767, 24924, 34264, 290, 15206, 289, 785, 17, 1796, 3678, 40716, 289, 519, 1129, 910, 510, 5273, 6096, 25610, 2931, 1624, 2615, 9541, 17, 22079, 16986, 9622, 22393, 7921, 18, 12726, 1967, 15774, 16, 961, 322, 898, 7997, 1007, 282, 3437, 7745, 31974, 7143, 16, 14481, 20641, 8984, 7512, 18, 478, 1182, 2738, 267, 1505, 11608, 309, 25388, 1335, 7272, 349, 1421, 779, 2452, 530, 41625, 16, 25, 5096, 2791, 910, 510, 3828, 4770, 396, 18001, 14600, 309, 49834, 49397, 18, 41945, 17684, 28349, 4830, 6396, 1293, 3139, 18, 478, 6014, 503, 891, 282, 4871, 15046, 10059, 309, 11826, 17, 2932, 2932, 3142, 282, 2630, 281, 29749, 10326, 5012, 10535, 16377, 282, 1767, 2792, 5006, 322, 14495, 18, 12849, 11359, 15287, 43694, 1007, 282, 8220, 546, 4830, 289, 5439, 16, 374, 289, 4040, 17812, 18942, 3741, 15774, 910, 376, 2815, 8099, 6365, 11303, 37880, 4083, 18, 365, 1423, 3678, 5037, 3569, 28085, 347, 6729, 20622, 925, 268, 4725, 16, 374, 11755, 14353, 334, 12278, 22865, 24529, 1747, 38908, 282, 7064, 282, 43186, 10286, 18, 824, 505, 3163, 16, 33134, 1272, 35216, 376, 334, 2384, 343, 1748, 1918, 289, 30249, 277, 309, 4183, 4282, 18, 7200, 14782, 1038, 26596, 3775, 7469, 4076, 16334, 718, 14758, 309, 24227, 43873, 4626, 4282, 281, 505, 1949, 22653, 2514, 6764, 16, 367, 322, 281, 3437, 11884, 16, 428, 1314, 18, 365, 44743, 11755, 47255, 1747, 17626, 1272, 3741, 6974, 28029, 651, 21788, 3412, 3094, 11601, 6524, 354, 371, 31900, 4183, 4282, 289, 21788, 3412, 6524, 354, 411, 4076, 16334, 718, 14758, 371, 31900, 6740, 4282, 18, 478, 630, 636, 7272, 1747, 8527, 6149, 411, 15046, 10059, 910, 376, 9299, 20622, 925, 268, 18, 602, 4449, 14076, 3412, 3094, 11601, 6524, 354, 309, 4183, 4282, 1747, 6524, 23997, 282, 4599, 2533, 16, 961, 33506, 281, 430, 3612, 11826, 779, 16, 15135, 8099, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 29971, 3771, 470, 309, 21110, 5375, 36076, 4336, 847, 764, 2236, 47490, 2684, 1887, 289, 478, 370, 613, 17, 13711, 1887, 861, 385, 14503, 18350, 505, 360, 9515, 294, 3370, 18321, 4623, 15279, 10106 ]
[ 11350, 17, 22079, 46792, 3569, 345, 788, 33005, 353, 512, 18, 23480, 2414, 6096, 25610, 2931, 5273, 16, 374, 9402, 4075, 33005, 353, 3583, 2458, 8337, 343, 38009, 3340, 289, 23825, 1700, 43142, 1530, 12466, 18, 18129, 290, 970, 16, 13943, 520, 3741, 47490, 2684, 2294, 16, 11834, 25773, 4623, 18, 31224, 30, 45433, 4770, 46792, 3569, 345, 788, 33005, 353, 512, 1624, 2412, 1815, 1038, 3059, 47490, 2684, 1887, 478, 30635, 1175, 910, 15279, 16136, 15958, 18350, 505, 360, 9515, 309, 26290, 36076, 18, 35116, 2159, 3003, 33005, 353, 512, 44765, 27510, 617, 282, 7337, 309, 16131, 1212, 6718, 14415, 478, 677, 3997, 536, 40884, 910, 5747, 25105, 9935, 27767, 8348, 289, 309, 17292, 3614, 4623, 18, 478, 4182, 445, 6382, 1205, 281, 1110, 1326, 16, 428, 417, 14084, 3059, 4830, 6664, 40884, 16, 289, 7337, 639, 32763, 4684, 294, 1335, 45289, 18, 365, 4542, 7337, 784, 2916, 414, 1247, 290, 8732, 10130, 18995, 282, 45569, 3416, 30, 475, 17, 2767, 417, 1176, 411, 47474, 478, 30635, 1175, 861, 740, 1314, 417, 16, 428, 1135, 6979, 1815, 473, 324, 3258, 1427, 16, 374, 417, 19759, 309, 13314, 7904, 35366, 4830, 46792, 309, 12971, 2742, 292, 934, 1109, 16, 374, 360, 20430, 360, 19734, 45569, 3416, 910, 510, 5130, 282, 23032, 3569, 345, 17889, 33005, 353, 3583, 18, 510, 365, 1335, 2630, 309, 42889, 36076, 4623, 417, 14105, 10106, 281, 29582, 294, 3370, 18321, 381, 38032, 703, 360, 9515, 17916, 16301, 12140, 1081, 7067, 478, 30635, 1175, 861, 1598, 4623, 33005, 353, 512, 13761, 322, 9733, 16, 5130, 282, 23032, 309, 3614, 478, 30635, 1175, 861, 365, 7337, 14415, 478, 677, 3997, 536, 40884, 910, 5938, 6981, 721, 281, 16131, 718, 10015, 478, 15210, 470, 1624, 33005, 353, 512, 3153, 322, 687, 381, 24709, 289, 30554, 6863, 309, 24923, 22893, 16, 515, 1038, 11060, 35632, 558, 4258, 441, 1846, 1275, 16, 2815, 16, 374, 9416, 13049, 282, 4623, 16, 28937, 905, 722, 349, 7814, 20276, 617, 289, 25803, 3083, 435, 14735, 18, 478, 30787, 309, 502, 374, 478, 29971, 3771, 470, 4896, 5906, 282, 34512, 16, 329, 1710, 1003, 27795, 12724, 309, 22945, 289, 13354, 2553, 18, 1735, 290, 828, 1381, 5370, 18, 1253, 11660, 4075, 282, 48619, 1624, 515, 1450, 322, 7696, 1360, 6688, 289, 11263, 400, 282, 40828, 1634, 6272, 432, 9623, 18, 608, 1710, 475, 764, 1003, 1728, 3247, 910, 651, 15875, 11350, 17, 40000, 46792, 478, 15210, 861, 41344, 16, 334, 505, 4734, 16, 478, 41784, 17, 299, 519, 4319, 1326, 282, 4729, 11065, 24643, 35906, 282, 478, 8544, 516, 470, 2580, 16, 282, 537, 2142, 29554, 225, 861, 33005, 353, 512, 33362, 1247, 8667, 16, 6332, 520, 18872, 38496, 3433, 10080, 16, 14409, 982, 4134, 5285, 3151, 30073, 17, 27144, 2110, 42518, 411, 20625, 28570, 16, 9650, 7723, 11031, 21030, 14314, 16, 8193, 520, 17034, 2420, 2155, 16, 289, 16, 895, 16, 1381, 16419, 309, 6555, 15958, 18, 478, 34275, 1247, 21505, 30, 1177, 1247, 34336, 289, 329, 813, 910, 651, 2715, 33005, 353, 512, 18, 9418, 281, 11350, 17, 277, 599, 620, 4534, 1614, 16362, 38009, 12248, 289, 18813, 12439, 33411, 44573, 877, 33005, 353, 512, 8503, 26118, 3276, 2956, 5772, 478, 30635, 1175, 861, 2112, 40483, 38009, 3340, 289, 505, 11441, 6507, 8421, 411, 4623, 47490, 2684, 7771, 6933, 44573, 877, 289, 33005, 353, 512, 18, 5333, 2175, 16, 1011, 14631, 33005, 353, 3583, 4210, 44573, 877, 8633, 12651, 289, 12181, 47490, 2684, 5772, 478, 30635, 1175, 861, 365, 4623, 1055, 322, 5658, 16, 1747, 520, 29373, 282, 39533, 2172, 3741, 47490, 2684, 2294, 18, 478, 4348, 6924, 339, 475, 9099, 4075, 309, 36076, 16, 1029, 8192, 282, 2456, 23838, 1612, 910, 510, 1109, 478, 46088, 18, 8381, 470, 9216, 26878, 42436, 7920, 478, 30635, 1175, 470, 4944, 30619, 5030, 18, 32529, 6700, 35544, 16986, 11065, 8786, 6096, 25610, 2931, 322, 32603, 14620, 3569, 345, 17889, 33005, 353, 3583, 289, 5273, 16, 374, 505, 9080, 567, 10246, 21309, 14560, 2403, 4004, 18, 3791, 309, 33005, 353, 3583, 3207, 25371, 8337, 343, 289, 1120, 4990, 30750, 3554, 411, 4623, 2891, 505, 11253, 2803, 289, 5508, 837, 20888, 38009, 3340, 18, 478, 1358, 3684, 16, 374, 16, 5612, 275, 3059, 4830, 8193, 40884, 16, 33005, 353, 512, 7328, 965, 2593, 968, 282, 36534, 9269, 12213, 18, 629, 3684, 16, 374, 975, 289, 3255, 7457, 322, 16724, 18, 5161, 16, 492, 1494, 685, 4546, 2409, 9184, 24529, 1530, 12466, 16, 515, 322, 1559, 4619, 411, 17, 431, 978, 309, 13013, 281, 42152, 14714, 16, 453, 428, 7639, 8341, 349, 7135, 454, 16, 2588, 25512, 16, 510, 1109, 25610, 2931, 478, 46088, 18, 8381, 861, 510, 832, 3684, 16, 374, 481, 3003, 37423, 1851, 17, 299, 13013, 18, 8269, 16, 374, 12651, 14560, 4118, 2584, 541, 33005, 353, 3583, 2438, 23825, 1700, 1530, 12466, 30, 975, 1494, 639, 4748, 12259, 965, 5216, 12984, 1360, 8193, 16, 367, 1441, 1542, 8892, 840, 34000, 1139, 478, 2210, 342, 861, 832, 10265, 14736, 1745, 982, 3251, 758, 2993, 3746, 16, 492, 1139, 7328, 965, 31556, 861, 824, 4734, 25610, 8053, 16, 3895, 520, 10080, 17970, 9184, 319, 3741, 47490, 2684, 2294, 16, 453, 428, 1542, 8892, 31555, 567, 10246, 14560, 2403, 4004, 16, 28630, 7473, 24081, 478, 630, 464, 2833, 470, 289, 478, 19563, 624, 910, 411, 1639, 906, 15622, 478, 29971, 3771, 861, 25610, 2931, 12016, 16, 374, 17959, 47490, 2684, 2294, 322, 9219, 282, 4623, 8214, 18017, 289, 1715, 322, 3710, 332, 309, 722, 4075, 18, 996, 16, 11815, 38009, 3340, 289, 33005, 353, 3583, 349, 24575, 3260, 617, 1530, 12466, 322, 21519, 326, 309, 33126, 22519, 478, 30635, 1175, 470, 282, 48619, 349, 9650, 272, 10144, 7010, 2632, 18, 478, 730, 4920, 466, 1421, 2004, 662, 38009, 3340, 16, 33005, 353, 3583, 289, 44573, 877, 28630, 6191, 26017, 347, 1066, 17105, 17, 13711, 2294, 655, 740, 1441, 481, 726, 2301, 3182, 18, 41344, 2944, 2756, 41715, 416, 47692, 289, 3895, 520, 17182, 282, 3741, 47490, 2684, 1887, 292, 910, 510, 5273, 25610, 2931, 18, 2, 1, 87, 1456, 81, 2448, 30, 24062, 14508, 478, 16563, 46356, 470, 35150, 11464, 13270, 9410, 16, 329, 22603, 282, 25857, 478, 4298, 13966, 861, 640, 13569, 4966, 1763, 9973, 10384, 15277, 296, 18, 23147, 3899, 1577, 2135, 478, 19386, 23987, 470, 42100, 332, 29343, 451, 478, 38900, 27472, 861 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11350, 17, 22079, 46792, 3569, 345, 788, 33005, 353, 512, 18, 23480, 2414, 6096, 25610, 2931, 5273, 16, 374, 9402, 4075, 33005, 353, 3583, 2458, 8337, 343, 38009, 3340, 289, 23825, 1700, 43142, 1530, 12466, 18, 18129, 290, 970, 16, 13943, 520, 3741, 47490, 2684, 2294, 16, 11834, 25773, 4623, 18, 31224, 30, 45433, 4770, 46792, 3569, 345, 788, 33005, 353, 512, 1624, 2412, 1815, 1038, 3059, 47490, 2684, 1887, 478, 30635, 1175, 910, 15279, 16136, 15958, 18350, 505, 360, 9515, 309, 26290, 36076, 18, 35116, 2159, 3003, 33005, 353, 512, 44765, 27510, 617, 282, 7337, 309, 16131, 1212, 6718, 14415, 478, 677, 3997, 536, 40884, 910, 5747, 25105, 9935, 27767, 8348, 289, 309, 17292, 3614, 4623, 18, 478, 4182, 445, 6382, 1205, 281, 1110, 1326, 16, 428, 417, 14084, 3059, 4830, 6664, 40884, 16, 289, 7337, 639, 32763, 4684, 294, 1335, 45289, 18, 365, 4542, 7337, 784, 2916, 414, 1247, 290, 8732, 10130, 18995, 282, 45569, 3416, 30, 475, 17, 2767, 417, 1176, 411, 47474, 478, 30635, 1175, 861, 740, 1314, 417, 16, 428, 1135, 6979, 1815, 473, 324, 3258, 1427, 16, 374, 417, 19759, 309, 13314, 7904, 35366, 4830, 46792, 309, 12971, 2742, 292, 934, 1109, 16, 374, 360, 20430, 360, 19734, 45569, 3416, 910, 510, 5130, 282, 23032, 3569, 345, 17889, 33005, 353, 3583, 18, 510, 365, 1335, 2630, 309, 42889, 36076, 4623, 417, 14105, 10106, 281, 29582, 294, 3370, 18321, 381, 38032, 703, 360, 9515, 17916, 16301, 12140, 1081, 7067, 478, 30635, 1175, 861, 1598, 4623, 33005, 353, 512, 13761, 322, 9733, 16, 5130, 282, 23032, 309, 3614, 478, 30635, 1175, 861, 365, 7337, 14415, 478, 677, 3997, 536, 40884, 910, 5938, 6981, 721, 281, 16131, 718, 10015, 478, 15210, 470, 1624, 33005, 353, 512, 3153, 322, 687, 381, 24709, 289, 30554, 6863, 309, 24923, 22893, 16, 515, 1038, 11060, 35632, 558, 4258, 441, 1846, 1275, 16, 2815, 16, 374, 9416, 13049, 282, 4623, 16, 28937, 905, 722, 349, 7814, 20276, 617, 289, 25803, 3083, 435, 14735, 18, 478, 30787, 309, 502, 374, 478, 29971, 3771, 470, 4896, 5906, 282, 34512, 16, 329, 1710, 1003, 27795, 12724, 309, 22945, 289, 13354, 2553, 18, 1735, 290, 828, 1381, 5370, 18, 1253, 11660, 4075, 282, 48619, 1624, 515, 1450, 322, 7696, 1360, 6688, 289, 11263, 400, 282, 40828, 1634, 6272, 432, 9623, 18, 608, 1710, 475, 764, 1003, 1728, 3247, 910, 651, 15875, 11350, 17, 40000, 46792, 478, 15210, 861, 41344, 16, 334, 505, 4734, 16, 478, 41784, 17, 299, 519, 4319, 1326, 282, 4729, 11065, 24643, 35906, 282, 478, 8544, 516, 470, 2580, 16, 282, 537, 2142, 29554, 225, 861, 33005, 353, 512, 33362, 1247, 8667, 16, 6332, 520, 18872, 38496, 3433, 10080, 16, 14409, 982, 4134, 5285, 3151, 30073, 17, 27144, 2110, 42518, 411, 20625, 28570, 16, 9650, 7723, 11031, 21030, 14314, 16, 8193, 520, 17034, 2420, 2155, 16, 289, 16, 895, 16, 1381, 16419, 309, 6555, 15958, 18, 478, 34275, 1247, 21505, 30, 1177, 1247, 34336, 289, 329, 813, 910, 651, 2715, 33005, 353, 512, 18, 9418, 281, 11350, 17, 277, 599, 620, 4534, 1614, 16362, 38009, 12248, 289, 18813, 12439, 33411, 44573, 877, 33005, 353, 512, 8503, 26118, 3276, 2956, 5772, 478, 30635, 1175, 861, 2112, 40483, 38009, 3340, 289, 505, 11441, 6507, 8421, 411, 4623, 47490, 2684, 7771, 6933, 44573, 877, 289, 33005, 353, 512, 18, 5333, 2175, 16, 1011, 14631, 33005, 353, 3583, 4210, 44573, 877, 8633, 12651, 289, 12181, 47490, 2684, 5772, 478, 30635, 1175, 861, 365, 4623, 1055, 322, 5658, 16, 1747, 520, 29373, 282, 39533, 2172, 3741, 47490, 2684, 2294, 18, 478, 4348, 6924, 339, 475, 9099, 4075, 309, 36076, 16, 1029, 8192, 282, 2456, 23838, 1612, 910, 510, 1109, 478, 46088, 18, 8381, 470, 9216, 26878, 42436, 7920, 478, 30635, 1175, 470, 4944, 30619, 5030, 18, 32529, 6700, 35544, 16986, 11065, 8786, 6096, 25610, 2931, 322, 32603, 14620, 3569, 345, 17889, 33005, 353, 3583, 289, 5273, 16, 374, 505, 9080, 567, 10246, 21309, 14560, 2403, 4004, 18, 3791, 309, 33005, 353, 3583, 3207, 25371, 8337, 343, 289, 1120, 4990, 30750, 3554, 411, 4623, 2891, 505, 11253, 2803, 289, 5508, 837, 20888, 38009, 3340, 18, 478, 1358, 3684, 16, 374, 16, 5612, 275, 3059, 4830, 8193, 40884, 16, 33005, 353, 512, 7328, 965, 2593, 968, 282, 36534, 9269, 12213, 18, 629, 3684, 16, 374, 975, 289, 3255, 7457, 322, 16724, 18, 5161, 16, 492, 1494, 685, 4546, 2409, 9184, 24529, 1530, 12466, 16, 515, 322, 1559, 4619, 411, 17, 431, 978, 309, 13013, 281, 42152, 14714, 16, 453, 428, 7639, 8341, 349, 7135, 454, 16, 2588, 25512, 16, 510, 1109, 25610, 2931, 478, 46088, 18, 8381, 861, 510, 832, 3684, 16, 374, 481, 3003, 37423, 1851, 17, 299, 13013, 18, 8269, 16, 374, 12651, 14560, 4118, 2584, 541, 33005, 353, 3583, 2438, 23825, 1700, 1530, 12466, 30, 975, 1494, 639, 4748, 12259, 965, 5216, 12984, 1360, 8193, 16, 367, 1441, 1542, 8892, 840, 34000, 1139, 478, 2210, 342, 861, 832, 10265, 14736, 1745, 982, 3251, 758, 2993, 3746, 16, 492, 1139, 7328, 965, 31556, 861, 824, 4734, 25610, 8053, 16, 3895, 520, 10080, 17970, 9184, 319, 3741, 47490, 2684, 2294, 16, 453, 428, 1542, 8892, 31555, 567, 10246, 14560, 2403, 4004, 16, 28630, 7473, 24081, 478, 630, 464, 2833, 470, 289, 478, 19563, 624, 910, 411, 1639, 906, 15622, 478, 29971, 3771, 861, 25610, 2931, 12016, 16, 374, 17959, 47490, 2684, 2294, 322, 9219, 282, 4623, 8214, 18017, 289, 1715, 322, 3710, 332, 309, 722, 4075, 18, 996, 16, 11815, 38009, 3340, 289, 33005, 353, 3583, 349, 24575, 3260, 617, 1530, 12466, 322, 21519, 326, 309, 33126, 22519, 478, 30635, 1175, 470, 282, 48619, 349, 9650, 272, 10144, 7010, 2632, 18, 478, 730, 4920, 466, 1421, 2004, 662, 38009, 3340, 16, 33005, 353, 3583, 289, 44573, 877, 28630, 6191, 26017, 347, 1066, 17105, 17, 13711, 2294, 655, 740, 1441, 481, 726, 2301, 3182, 18, 41344, 2944, 2756, 41715, 416, 47692, 289, 3895, 520, 17182, 282, 3741, 47490, 2684, 1887, 292, 910, 510, 5273, 25610, 2931, 18, 2, 1, 87, 1456, 81, 2448, 30, 24062, 14508, 478, 16563, 46356, 470, 35150, 11464, 13270, 9410, 16, 329, 22603, 282, 25857, 478, 4298, 13966, 861, 640, 13569, 4966, 1763, 9973, 10384, 15277, 296, 18, 23147, 3899, 1577, 2135, 478, 19386, 23987, 470, 42100, 332, 29343, 451, 478, 38900, 27472, 861 ]
[ 31224, 30, 677, 782, 349, 478, 618, 1736, 4640, 3663, 470, 478, 4298, 844, 470, 309, 29011, 27027, 42100, 332, 2191, 14508, 478, 16563, 46356, 861, 19823, 520, 28929, 16, 4255, 19417, 567, 12241, 403, 27923, 478, 7306, 798, 910, 5892, 538, 290, 10322, 7069, 1612, 289, 30696, 18, 5454, 16, 745, 935, 322, 11614, 16, 428, 13668, 538, 1272, 4177, 16, 3387, 898, 45483, 1007, 41771, 309, 27027, 18, 1397, 289, 3111, 16, 827, 294, 15268, 323, 20537, 309, 47366, 7906, 435, 491, 30, 21, 5, 1681, 45711, 23523, 10485, 32124, 478, 4298, 10654, 470, 6096, 7651, 3930, 6844, 2948, 16, 22328, 13121, 411, 17, 431, 7889, 289, 664, 1277, 46234, 424, 34874, 888, 2067, 285, 13432, 4744, 1212, 1011, 8866, 434, 445, 25553, 15953, 11643, 33973, 607, 18, 832, 3754, 520, 16, 11855, 6287, 541, 478, 4298, 10654, 9519, 1735, 687, 5957, 453, 726, 322, 3903, 18, 42420, 24110, 3749, 347, 2834, 15814, 25107, 16, 753, 8782, 844, 506, 510, 16922, 9969, 281, 15052, 12842, 29974, 326, 1519, 13536, 18847, 306, 3340, 18, 19770, 3583, 12357, 309, 23511, 282, 3968, 1484, 15465, 4426, 7632, 1147, 4744, 2977, 3511, 304, 281, 28065, 16883, 282, 13090, 7046, 282, 17979, 1307, 28772, 18083, 602, 277, 944, 3583, 18, 832, 11453, 447, 2822, 282, 803, 1610, 11186, 16973, 379, 30241, 22403, 1373, 575, 45227, 5251, 778, 774, 382, 2314, 2075, 312, 365, 1521, 363, 286, 18, 19770, 3583, 6984, 475, 10317, 4601, 1086, 309, 11163, 26258, 2678, 39164, 16, 3387, 322, 26450, 414, 32399, 8198, 1545, 590, 7121, 18, 13350, 700, 15681, 6281, 282, 4116, 575, 12896, 46779, 16, 428, 289, 3229, 16, 282, 2630, 281, 828, 322, 14522, 16793, 1176, 1247, 30, 478, 618, 8162, 520, 48140, 1333, 309, 2296, 16853, 808, 35991, 39575, 468, 477, 2249, 309, 1003, 1011, 18653, 1385, 7264, 2992, 1939, 17, 25822, 382, 18, 832, 10473, 1879, 549, 37639, 2048, 3098, 16, 428, 4966, 41173, 774, 1134, 18, 2080, 6545, 1634, 25467, 5352, 29061, 2191, 35036, 18, 17738, 6096, 38546, 40691, 1809, 3012, 2607, 309, 1793, 3675, 33973, 877, 23009, 309, 3968, 476, 2594, 281, 19671, 628, 11106, 507, 999, 4237, 401, 1624, 5076, 2702, 639, 2048, 1223, 1472, 3835, 564, 510, 491, 30, 22, 18, 439, 5957, 282, 11428, 1941, 4096, 46459, 7550, 9020, 317, 375, 473, 23, 30, 22, 13, 510, 289, 290, 6595, 10343, 843, 281, 29730, 942, 3111, 282, 7204, 1750, 35, 34165, 7846, 16, 374, 322, 2353, 46865, 30241, 22403, 282, 1949, 40259, 1378, 15277, 10925, 16, 1696, 935, 3952, 365, 1521, 363, 798, 322, 28896, 5779, 478, 16563, 46356, 470, 360, 16, 453, 2023, 16, 1331, 2061, 5418, 1593, 473, 392, 912, 575, 282, 22122, 409, 6327, 4610, 1453, 11222, 13, 282, 1617, 8999, 18, 5161, 16, 5251, 268, 322, 1943, 685, 5505, 3058, 46234, 360, 20836, 22595, 6606, 4472, 718, 1624, 7926, 20202, 13757, 883, 6421, 411, 17, 431, 7889, 18, 3747, 381, 26673, 330, 749, 22140, 282, 4459, 2075, 312, 18, 3510, 827, 373, 322, 492, 16, 502, 20451, 7603, 413, 483, 1624, 3091, 36173, 17285, 478, 9575, 282, 2236, 910, 2957, 3389, 590, 7121, 17701, 18, 32418, 582, 32908, 478, 4298, 10654, 470, 1698, 1472, 4535, 990, 309, 965, 411, 17, 431, 924, 16, 374, 7504, 23635, 11274, 368, 12543, 371, 20545, 1032, 30, 24, 18, 1598, 17, 431, 322, 22528, 3179, 326, 307, 48755, 6335, 2301, 411, 2296, 11817, 519, 21842, 1612, 7193, 13282, 282, 24163, 1207, 18, 3739, 309, 6603, 17, 295, 20537, 2255, 454, 1452, 322, 2564, 2048, 924, 16, 374, 16, 428, 3903, 16, 639, 19197, 18, 16577, 1421, 7130, 6230, 349, 2200, 14674, 1392, 2409, 472, 884, 496, 48853, 2509, 32124, 17701, 10618, 15090, 3619, 1949, 25822, 451, 10556, 18, 459, 6740, 39440, 4446, 322, 11163, 5740, 18, 41651, 16, 374, 999, 312, 3899, 5009, 2022, 13303, 2235, 282, 7664, 4267, 477, 2200, 5216, 774, 304, 1610, 11186, 18, 12280, 11211, 16, 374, 21166, 3328, 9001, 6315, 454, 1043, 18220, 10849, 510, 10121, 3138, 404, 512, 4522, 364, 850, 2640, 305, 2654, 281, 38374, 323, 18, 12092, 1011, 17476, 36054, 8472, 20256, 3882, 26646, 774, 18, 2046, 5975, 3702, 475, 575, 5290, 349, 15825, 11088, 29675, 46184, 1624, 12184, 349, 602, 277, 944, 13432, 16, 13721, 5583, 8440, 526, 309, 13531, 17, 295, 20537, 18, 365, 6031, 6230, 349, 7518, 7821, 29049, 2566, 416, 9776, 355, 16, 478, 16563, 46356, 470, 35150, 11464, 13270, 9410, 16, 6177, 281, 445, 5793, 282, 3441, 46234, 18, 11966, 16, 764, 7885, 3111, 290, 970, 16, 374, 16452, 32908, 2191, 31549, 478, 6329, 1015, 470, 7835, 27955, 13656, 294, 28505, 6315, 454, 28499, 18, 478, 1916, 9769, 37518, 12032, 281, 25771, 1195, 2733, 7739, 2409, 16, 428, 478, 16563, 46356, 470, 651, 481, 49905, 356, 3662, 16452, 274, 16, 651, 5923, 1694, 29675, 46184, 3781, 17, 9952, 478, 4298, 10654, 861, 651, 15517, 1904, 14725, 16, 515, 3895, 7193, 12080, 3108, 16, 428, 42262, 1373, 575, 7243, 642, 1211, 2083, 5, 15317, 2444, 31696, 2191, 34041, 18, 740, 45268, 16, 374, 322, 8625, 887, 1011, 6740, 10485, 16, 453, 428, 40211, 1871, 15277, 919, 18, 459, 309, 7504, 2849, 7451, 281, 14158, 4195, 339, 5, 2465, 19538, 2117, 41914, 14943, 7651, 12568, 289, 16259, 16197, 7603, 413, 756, 16, 745, 289, 309, 11979, 1165, 939, 1904, 7393, 5, 999, 2326, 507, 1381, 2023, 6910, 28505, 7076, 42595, 5, 1787, 813, 7603, 413, 483, 651, 30888, 23513, 18, 8615, 1020, 5834, 16, 2391, 975, 1381, 10919, 6281, 18, 403, 35883, 1045, 2828, 406, 4271, 32204, 290, 32942, 32239, 16, 6315, 454, 609, 4255, 1475, 309, 13344, 839, 11222, 18, 478, 46929, 2117, 1011, 4090, 779, 16, 651, 5923, 1694, 6315, 454, 1043, 3781, 17, 9952, 478, 4298, 10654, 861, 651, 629, 8188, 16, 374, 656, 7187, 18908, 1904, 16, 515, 16, 294, 6095, 16, 13344, 839, 11222, 282, 25152, 322, 20800, 978, 2048, 18, 403, 2222, 575, 16, 322, 45468, 774, 16, 785, 6984, 2019, 1272, 282, 28403, 16, 367, 971, 764, 289, 1373, 575, 40211, 18, 365, 1177, 445, 656, 322, 7737, 39280, 6763, 18, 2112, 44368, 17, 264, 29873, 282, 2343, 11202, 10485, 417, 2963, 16, 753, 7193, 32026, 282, 31277, 18, 8589, 639, 21001, 5906, 2852, 309, 2846, 18, 740, 16, 294, 6095, 16, 5633, 7015, 42563, 322, 2564, 435, 26183, 11246 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31224, 30, 677, 782, 349, 478, 618, 1736, 4640, 3663, 470, 478, 4298, 844, 470, 309, 29011, 27027, 42100, 332, 2191, 14508, 478, 16563, 46356, 861, 19823, 520, 28929, 16, 4255, 19417, 567, 12241, 403, 27923, 478, 7306, 798, 910, 5892, 538, 290, 10322, 7069, 1612, 289, 30696, 18, 5454, 16, 745, 935, 322, 11614, 16, 428, 13668, 538, 1272, 4177, 16, 3387, 898, 45483, 1007, 41771, 309, 27027, 18, 1397, 289, 3111, 16, 827, 294, 15268, 323, 20537, 309, 47366, 7906, 435, 491, 30, 21, 5, 1681, 45711, 23523, 10485, 32124, 478, 4298, 10654, 470, 6096, 7651, 3930, 6844, 2948, 16, 22328, 13121, 411, 17, 431, 7889, 289, 664, 1277, 46234, 424, 34874, 888, 2067, 285, 13432, 4744, 1212, 1011, 8866, 434, 445, 25553, 15953, 11643, 33973, 607, 18, 832, 3754, 520, 16, 11855, 6287, 541, 478, 4298, 10654, 9519, 1735, 687, 5957, 453, 726, 322, 3903, 18, 42420, 24110, 3749, 347, 2834, 15814, 25107, 16, 753, 8782, 844, 506, 510, 16922, 9969, 281, 15052, 12842, 29974, 326, 1519, 13536, 18847, 306, 3340, 18, 19770, 3583, 12357, 309, 23511, 282, 3968, 1484, 15465, 4426, 7632, 1147, 4744, 2977, 3511, 304, 281, 28065, 16883, 282, 13090, 7046, 282, 17979, 1307, 28772, 18083, 602, 277, 944, 3583, 18, 832, 11453, 447, 2822, 282, 803, 1610, 11186, 16973, 379, 30241, 22403, 1373, 575, 45227, 5251, 778, 774, 382, 2314, 2075, 312, 365, 1521, 363, 286, 18, 19770, 3583, 6984, 475, 10317, 4601, 1086, 309, 11163, 26258, 2678, 39164, 16, 3387, 322, 26450, 414, 32399, 8198, 1545, 590, 7121, 18, 13350, 700, 15681, 6281, 282, 4116, 575, 12896, 46779, 16, 428, 289, 3229, 16, 282, 2630, 281, 828, 322, 14522, 16793, 1176, 1247, 30, 478, 618, 8162, 520, 48140, 1333, 309, 2296, 16853, 808, 35991, 39575, 468, 477, 2249, 309, 1003, 1011, 18653, 1385, 7264, 2992, 1939, 17, 25822, 382, 18, 832, 10473, 1879, 549, 37639, 2048, 3098, 16, 428, 4966, 41173, 774, 1134, 18, 2080, 6545, 1634, 25467, 5352, 29061, 2191, 35036, 18, 17738, 6096, 38546, 40691, 1809, 3012, 2607, 309, 1793, 3675, 33973, 877, 23009, 309, 3968, 476, 2594, 281, 19671, 628, 11106, 507, 999, 4237, 401, 1624, 5076, 2702, 639, 2048, 1223, 1472, 3835, 564, 510, 491, 30, 22, 18, 439, 5957, 282, 11428, 1941, 4096, 46459, 7550, 9020, 317, 375, 473, 23, 30, 22, 13, 510, 289, 290, 6595, 10343, 843, 281, 29730, 942, 3111, 282, 7204, 1750, 35, 34165, 7846, 16, 374, 322, 2353, 46865, 30241, 22403, 282, 1949, 40259, 1378, 15277, 10925, 16, 1696, 935, 3952, 365, 1521, 363, 798, 322, 28896, 5779, 478, 16563, 46356, 470, 360, 16, 453, 2023, 16, 1331, 2061, 5418, 1593, 473, 392, 912, 575, 282, 22122, 409, 6327, 4610, 1453, 11222, 13, 282, 1617, 8999, 18, 5161, 16, 5251, 268, 322, 1943, 685, 5505, 3058, 46234, 360, 20836, 22595, 6606, 4472, 718, 1624, 7926, 20202, 13757, 883, 6421, 411, 17, 431, 7889, 18, 3747, 381, 26673, 330, 749, 22140, 282, 4459, 2075, 312, 18, 3510, 827, 373, 322, 492, 16, 502, 20451, 7603, 413, 483, 1624, 3091, 36173, 17285, 478, 9575, 282, 2236, 910, 2957, 3389, 590, 7121, 17701, 18, 32418, 582, 32908, 478, 4298, 10654, 470, 1698, 1472, 4535, 990, 309, 965, 411, 17, 431, 924, 16, 374, 7504, 23635, 11274, 368, 12543, 371, 20545, 1032, 30, 24, 18, 1598, 17, 431, 322, 22528, 3179, 326, 307, 48755, 6335, 2301, 411, 2296, 11817, 519, 21842, 1612, 7193, 13282, 282, 24163, 1207, 18, 3739, 309, 6603, 17, 295, 20537, 2255, 454, 1452, 322, 2564, 2048, 924, 16, 374, 16, 428, 3903, 16, 639, 19197, 18, 16577, 1421, 7130, 6230, 349, 2200, 14674, 1392, 2409, 472, 884, 496, 48853, 2509, 32124, 17701, 10618, 15090, 3619, 1949, 25822, 451, 10556, 18, 459, 6740, 39440, 4446, 322, 11163, 5740, 18, 41651, 16, 374, 999, 312, 3899, 5009, 2022, 13303, 2235, 282, 7664, 4267, 477, 2200, 5216, 774, 304, 1610, 11186, 18, 12280, 11211, 16, 374, 21166, 3328, 9001, 6315, 454, 1043, 18220, 10849, 510, 10121, 3138, 404, 512, 4522, 364, 850, 2640, 305, 2654, 281, 38374, 323, 18, 12092, 1011, 17476, 36054, 8472, 20256, 3882, 26646, 774, 18, 2046, 5975, 3702, 475, 575, 5290, 349, 15825, 11088, 29675, 46184, 1624, 12184, 349, 602, 277, 944, 13432, 16, 13721, 5583, 8440, 526, 309, 13531, 17, 295, 20537, 18, 365, 6031, 6230, 349, 7518, 7821, 29049, 2566, 416, 9776, 355, 16, 478, 16563, 46356, 470, 35150, 11464, 13270, 9410, 16, 6177, 281, 445, 5793, 282, 3441, 46234, 18, 11966, 16, 764, 7885, 3111, 290, 970, 16, 374, 16452, 32908, 2191, 31549, 478, 6329, 1015, 470, 7835, 27955, 13656, 294, 28505, 6315, 454, 28499, 18, 478, 1916, 9769, 37518, 12032, 281, 25771, 1195, 2733, 7739, 2409, 16, 428, 478, 16563, 46356, 470, 651, 481, 49905, 356, 3662, 16452, 274, 16, 651, 5923, 1694, 29675, 46184, 3781, 17, 9952, 478, 4298, 10654, 861, 651, 15517, 1904, 14725, 16, 515, 3895, 7193, 12080, 3108, 16, 428, 42262, 1373, 575, 7243, 642, 1211, 2083, 5, 15317, 2444, 31696, 2191, 34041, 18, 740, 45268, 16, 374, 322, 8625, 887, 1011, 6740, 10485, 16, 453, 428, 40211, 1871, 15277, 919, 18, 459, 309, 7504, 2849, 7451, 281, 14158, 4195, 339, 5, 2465, 19538, 2117, 41914, 14943, 7651, 12568, 289, 16259, 16197, 7603, 413, 756, 16, 745, 289, 309, 11979, 1165, 939, 1904, 7393, 5, 999, 2326, 507, 1381, 2023, 6910, 28505, 7076, 42595, 5, 1787, 813, 7603, 413, 483, 651, 30888, 23513, 18, 8615, 1020, 5834, 16, 2391, 975, 1381, 10919, 6281, 18, 403, 35883, 1045, 2828, 406, 4271, 32204, 290, 32942, 32239, 16, 6315, 454, 609, 4255, 1475, 309, 13344, 839, 11222, 18, 478, 46929, 2117, 1011, 4090, 779, 16, 651, 5923, 1694, 6315, 454, 1043, 3781, 17, 9952, 478, 4298, 10654, 861, 651, 629, 8188, 16, 374, 656, 7187, 18908, 1904, 16, 515, 16, 294, 6095, 16, 13344, 839, 11222, 282, 25152, 322, 20800, 978, 2048, 18, 403, 2222, 575, 16, 322, 45468, 774, 16, 785, 6984, 2019, 1272, 282, 28403, 16, 367, 971, 764, 289, 1373, 575, 40211, 18, 365, 1177, 445, 656, 322, 7737, 39280, 6763, 18, 2112, 44368, 17, 264, 29873, 282, 2343, 11202, 10485, 417, 2963, 16, 753, 7193, 32026, 282, 31277, 18, 8589, 639, 21001, 5906, 2852, 309, 2846, 18, 740, 16, 294, 6095, 16, 5633, 7015, 42563, 322, 2564, 435, 26183, 11246 ]
[ 282, 17025, 18, 365, 3198, 1542, 2117, 322, 28009, 861, 23147, 3899, 1577, 2135, 478, 19386, 23987, 470, 27547, 309, 39566, 27027, 18319, 15334, 478, 38900, 27472, 470, 289, 30346, 477, 12932, 1032, 30, 21, 473, 21, 30, 21, 16, 2239, 30, 20, 16, 816, 30, 20, 814, 28604, 25824, 7878, 12525, 11718, 10805, 2840, 23635, 5576, 32671, 7561, 18, 985, 3110, 3781, 17, 9952, 18389, 16, 12916, 19671, 628, 14449, 16720, 6533, 356, 286, 6166, 47604, 297, 470, 48091, 3134, 45249, 814, 999, 6236, 668, 5284, 492, 7609, 1272, 7977, 16, 1176, 411, 1639, 651, 478, 324, 28403, 910, 25521, 1871, 15277, 919, 473, 275, 11099, 430, 16, 646, 349, 5199, 13, 289, 13190, 364, 27365, 16, 22, 13930, 4744, 2449, 18, 6735, 1757, 2985, 2409, 14449, 14564, 8049, 7219, 6166, 3096, 399, 5497, 982, 273, 11523, 640, 11056, 492, 5962, 3455, 282, 1949, 38369, 16, 282, 1639, 17363, 774, 16, 3404, 774, 3643, 9871, 289, 24132, 33200, 3779, 617, 478, 15, 22, 861, 6735, 1757, 13403, 2854, 14449, 3720, 28265, 1388, 6166, 563, 455, 10347, 1614, 332, 512, 11523, 365, 1949, 21273, 492, 46164, 1871, 15277, 919, 289, 3404, 2846, 774, 12886, 10376, 371, 3286, 19560, 3779, 617, 478, 15, 22, 861, 6735, 1757, 16632, 635, 5576, 14449, 32124, 478, 563, 455, 36291, 1614, 332, 3583, 470, 4210, 602, 13560, 375, 1624, 2454, 1510, 1272, 7977, 16, 567, 808, 1639, 3404, 2846, 4744, 820, 289, 17060, 1658, 411, 2261, 282, 13090, 650, 883, 371, 11099, 12643, 304, 1612, 1533, 1879, 3405, 13053, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 13467, 470, 30682, 8955, 282, 25857, 1195, 478, 1098, 278, 7237, 861, 11674, 17, 46796, 42807, 411, 46463, 1421, 26654, 4426, 8440, 623, 35111, 2220, 554, 1429, 289, 2566, 416, 15277, 636, 6816, 1614, 1068, 3340, 18, 31224, 30, 471, 13467, 470, 3227, 7791, 2159, 6566, 7821, 390, 1790, 17527, 539, 3676, 404, 16, 282, 4542, 2024, 10078, 17, 46796, 3441, 5199, 10258, 282, 3507, 16, 3754, 16, 309, 49131, 27027, 651, 282, 586, 19268, 14118, 18, 9570, 45265, 17527, 282, 29263, 541, 21166, 2466, 17514, 3551, 36942, 8769, 27349, 6608, 15174, 16, 30993, 289, 3225, 4693, 4605, 1472, 282, 290, 551, 6189, 482, 18, 999, 636, 8368, 4024, 16, 8955, 29098, 447, 44591, 609, 414, 289, 334, 8872, 46381, 282, 5857, 9861, 16, 48253, 282, 3177, 5572, 282, 3182, 8267, 282, 11304, 7292, 12013, 1279, 4966, 411, 31934, 9919, 1042, 18, 365, 5271, 7646, 334, 7413, 281, 18042, 2529, 3187, 3328, 13397, 4287, 14909, 2413, 11394, 1472, 1307, 1353, 2169, 4966, 651, 6181, 3720, 450, 1414, 313, 2931, 1624, 14853, 1779, 13536, 1614, 1068, 3340, 18, 31842, 575, 5233, 3675, 6566, 7821, 48305, 19311, 3227, 7791, 478, 1098, 512, 861, 1681, 11607, 2497, 12426, 4782, 3883, 18693, 334, 17, 21599, 10258, 5487, 1421, 5790, 18, 365, 5606, 1949, 20330, 42790, 28604, 329, 7367, 1814, 9946, 3609, 2509, 1875, 4304, 282, 5503, 29565, 289, 478, 618, 1736, 47900, 910, 367, 2512, 10313, 4667, 5807, 4793, 9764, 1195, 478, 19386, 23987, 306, 470, 289, 478, 38900, 1699, 339, 861, 996, 7820, 16, 374, 289, 541, 478, 1098, 278, 342, 910, 289, 541, 478, 28345, 470, 9258, 2545, 2756, 290, 3412, 2117, 1188, 8560, 536, 23511, 304, 16, 40812, 281, 46874, 27304, 2959, 289, 37363, 2384, 4334, 44229, 282, 7044, 18, 365, 5572, 29235, 4966, 41173, 5512, 23952, 758, 15277, 11569, 18, 35832, 6844, 13122, 14929, 1815, 4769, 1011, 15974, 360, 17336, 9810, 2220, 554, 1690, 18, 2046, 2619, 828, 1248, 5728, 15014, 4522, 925, 850, 2640, 305, 31273, 1714, 321, 3897, 10418, 762, 419, 18, 34175, 530, 536, 541, 478, 1098, 278, 342, 470, 2438, 35520, 282, 2343, 4056, 1939, 17, 25822, 382, 3952, 30746, 4414, 488, 16197, 36215, 18, 478, 13467, 470, 11723, 29497, 2184, 651, 6396, 5728, 289, 2846, 13053, 1011, 2742, 6740, 10485, 1034, 464, 16698, 472, 545, 1447, 343, 289, 6061, 3495, 616, 343, 36129, 309, 6972, 368, 2220, 554, 1429, 16, 1029, 3404, 8440, 526, 18, 2046, 1248, 2852, 1879, 1423, 12376, 46234, 46164, 10418, 762, 285, 18, 19770, 3583, 43779, 10556, 304, 349, 12006, 8198, 2198, 9536, 329, 10078, 17, 44606, 16, 35820, 3221, 16779, 2948, 18, 21621, 1248, 1533, 1879, 478, 13467, 470, 282, 7504, 445, 4223, 4024, 651, 2566, 451, 16, 428, 5121, 774, 16, 17363, 3720, 1614, 1068, 523, 18, 478, 1098, 512, 470, 4223, 309, 7504, 2849, 281, 23393, 309, 502, 16, 374, 492, 5304, 764, 445, 3221, 2795, 2948, 18, 19770, 3583, 18322, 648, 414, 21755, 16, 309, 32886, 11476, 1533, 4744, 2449, 16, 282, 502, 808, 428, 478, 13467, 470, 510, 1223, 2852, 18, 7651, 6971, 695, 16, 374, 282, 5897, 13882, 29235, 5280, 4869, 2581, 2602, 687, 16188, 4563, 2106, 323, 18828, 23952, 432, 15277, 296, 651, 2220, 554, 1690, 289, 10418, 762, 285, 18, 19726, 322, 32655, 478, 13467, 470, 289, 6061, 3495, 616, 343, 16, 2657, 4651, 309, 22596, 454, 10556, 1051, 349, 38299, 15277, 919, 18, 740, 10078, 17, 46796, 387, 793, 326, 16, 10313, 9213, 18893, 668, 8955, 18, 365, 764, 3709, 8267, 16, 687, 726, 282, 13757, 1555, 9919, 1919, 16, 1702, 313, 1880, 478, 13781, 470, 1642, 15536, 857, 478, 19386, 7618, 861, 10429, 275, 2948, 16, 15014, 16, 20800, 7739, 3033, 5848, 2846, 37183, 448, 15277, 919, 18, 3759, 1038, 322, 26008, 749, 8440, 379, 651, 46459, 14380, 451, 282, 18823, 1175, 309, 26567, 478, 13802, 1042, 332, 470, 14153, 7857, 513, 5881, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 45907, 33498, 22322, 718, 478, 36796, 470, 9810, 38213, 1447, 21161, 17802, 1175, 309, 11506, 7561, 2422, 334, 15749, 282, 11826, 1045, 18, 24295, 6842, 868, 6181, 309, 9725, 9314, 282, 9937, 282, 14109, 9964, 478, 1098, 578, 1952, 18569, 910, 988, 5037, 21999, 6096, 16195, 26330, 12679, 281, 1126, 761, 1479, 24225, 27408, 1963, 16, 48431, 13453, 282, 29076, 25796, 478, 297, 13359, 2435, 289, 309, 13211, 758, 861, 31224, 30, 677, 9937, 282, 14109, 9601, 1949, 22044, 549, 38400, 26086, 478, 1098, 578, 1952, 18569, 861, 1591, 808, 978, 7461, 3771, 282, 6940, 445, 22644, 1423, 17802, 309 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 17025, 18, 365, 3198, 1542, 2117, 322, 28009, 861, 23147, 3899, 1577, 2135, 478, 19386, 23987, 470, 27547, 309, 39566, 27027, 18319, 15334, 478, 38900, 27472, 470, 289, 30346, 477, 12932, 1032, 30, 21, 473, 21, 30, 21, 16, 2239, 30, 20, 16, 816, 30, 20, 814, 28604, 25824, 7878, 12525, 11718, 10805, 2840, 23635, 5576, 32671, 7561, 18, 985, 3110, 3781, 17, 9952, 18389, 16, 12916, 19671, 628, 14449, 16720, 6533, 356, 286, 6166, 47604, 297, 470, 48091, 3134, 45249, 814, 999, 6236, 668, 5284, 492, 7609, 1272, 7977, 16, 1176, 411, 1639, 651, 478, 324, 28403, 910, 25521, 1871, 15277, 919, 473, 275, 11099, 430, 16, 646, 349, 5199, 13, 289, 13190, 364, 27365, 16, 22, 13930, 4744, 2449, 18, 6735, 1757, 2985, 2409, 14449, 14564, 8049, 7219, 6166, 3096, 399, 5497, 982, 273, 11523, 640, 11056, 492, 5962, 3455, 282, 1949, 38369, 16, 282, 1639, 17363, 774, 16, 3404, 774, 3643, 9871, 289, 24132, 33200, 3779, 617, 478, 15, 22, 861, 6735, 1757, 13403, 2854, 14449, 3720, 28265, 1388, 6166, 563, 455, 10347, 1614, 332, 512, 11523, 365, 1949, 21273, 492, 46164, 1871, 15277, 919, 289, 3404, 2846, 774, 12886, 10376, 371, 3286, 19560, 3779, 617, 478, 15, 22, 861, 6735, 1757, 16632, 635, 5576, 14449, 32124, 478, 563, 455, 36291, 1614, 332, 3583, 470, 4210, 602, 13560, 375, 1624, 2454, 1510, 1272, 7977, 16, 567, 808, 1639, 3404, 2846, 4744, 820, 289, 17060, 1658, 411, 2261, 282, 13090, 650, 883, 371, 11099, 12643, 304, 1612, 1533, 1879, 3405, 13053, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 13467, 470, 30682, 8955, 282, 25857, 1195, 478, 1098, 278, 7237, 861, 11674, 17, 46796, 42807, 411, 46463, 1421, 26654, 4426, 8440, 623, 35111, 2220, 554, 1429, 289, 2566, 416, 15277, 636, 6816, 1614, 1068, 3340, 18, 31224, 30, 471, 13467, 470, 3227, 7791, 2159, 6566, 7821, 390, 1790, 17527, 539, 3676, 404, 16, 282, 4542, 2024, 10078, 17, 46796, 3441, 5199, 10258, 282, 3507, 16, 3754, 16, 309, 49131, 27027, 651, 282, 586, 19268, 14118, 18, 9570, 45265, 17527, 282, 29263, 541, 21166, 2466, 17514, 3551, 36942, 8769, 27349, 6608, 15174, 16, 30993, 289, 3225, 4693, 4605, 1472, 282, 290, 551, 6189, 482, 18, 999, 636, 8368, 4024, 16, 8955, 29098, 447, 44591, 609, 414, 289, 334, 8872, 46381, 282, 5857, 9861, 16, 48253, 282, 3177, 5572, 282, 3182, 8267, 282, 11304, 7292, 12013, 1279, 4966, 411, 31934, 9919, 1042, 18, 365, 5271, 7646, 334, 7413, 281, 18042, 2529, 3187, 3328, 13397, 4287, 14909, 2413, 11394, 1472, 1307, 1353, 2169, 4966, 651, 6181, 3720, 450, 1414, 313, 2931, 1624, 14853, 1779, 13536, 1614, 1068, 3340, 18, 31842, 575, 5233, 3675, 6566, 7821, 48305, 19311, 3227, 7791, 478, 1098, 512, 861, 1681, 11607, 2497, 12426, 4782, 3883, 18693, 334, 17, 21599, 10258, 5487, 1421, 5790, 18, 365, 5606, 1949, 20330, 42790, 28604, 329, 7367, 1814, 9946, 3609, 2509, 1875, 4304, 282, 5503, 29565, 289, 478, 618, 1736, 47900, 910, 367, 2512, 10313, 4667, 5807, 4793, 9764, 1195, 478, 19386, 23987, 306, 470, 289, 478, 38900, 1699, 339, 861, 996, 7820, 16, 374, 289, 541, 478, 1098, 278, 342, 910, 289, 541, 478, 28345, 470, 9258, 2545, 2756, 290, 3412, 2117, 1188, 8560, 536, 23511, 304, 16, 40812, 281, 46874, 27304, 2959, 289, 37363, 2384, 4334, 44229, 282, 7044, 18, 365, 5572, 29235, 4966, 41173, 5512, 23952, 758, 15277, 11569, 18, 35832, 6844, 13122, 14929, 1815, 4769, 1011, 15974, 360, 17336, 9810, 2220, 554, 1690, 18, 2046, 2619, 828, 1248, 5728, 15014, 4522, 925, 850, 2640, 305, 31273, 1714, 321, 3897, 10418, 762, 419, 18, 34175, 530, 536, 541, 478, 1098, 278, 342, 470, 2438, 35520, 282, 2343, 4056, 1939, 17, 25822, 382, 3952, 30746, 4414, 488, 16197, 36215, 18, 478, 13467, 470, 11723, 29497, 2184, 651, 6396, 5728, 289, 2846, 13053, 1011, 2742, 6740, 10485, 1034, 464, 16698, 472, 545, 1447, 343, 289, 6061, 3495, 616, 343, 36129, 309, 6972, 368, 2220, 554, 1429, 16, 1029, 3404, 8440, 526, 18, 2046, 1248, 2852, 1879, 1423, 12376, 46234, 46164, 10418, 762, 285, 18, 19770, 3583, 43779, 10556, 304, 349, 12006, 8198, 2198, 9536, 329, 10078, 17, 44606, 16, 35820, 3221, 16779, 2948, 18, 21621, 1248, 1533, 1879, 478, 13467, 470, 282, 7504, 445, 4223, 4024, 651, 2566, 451, 16, 428, 5121, 774, 16, 17363, 3720, 1614, 1068, 523, 18, 478, 1098, 512, 470, 4223, 309, 7504, 2849, 281, 23393, 309, 502, 16, 374, 492, 5304, 764, 445, 3221, 2795, 2948, 18, 19770, 3583, 18322, 648, 414, 21755, 16, 309, 32886, 11476, 1533, 4744, 2449, 16, 282, 502, 808, 428, 478, 13467, 470, 510, 1223, 2852, 18, 7651, 6971, 695, 16, 374, 282, 5897, 13882, 29235, 5280, 4869, 2581, 2602, 687, 16188, 4563, 2106, 323, 18828, 23952, 432, 15277, 296, 651, 2220, 554, 1690, 289, 10418, 762, 285, 18, 19726, 322, 32655, 478, 13467, 470, 289, 6061, 3495, 616, 343, 16, 2657, 4651, 309, 22596, 454, 10556, 1051, 349, 38299, 15277, 919, 18, 740, 10078, 17, 46796, 387, 793, 326, 16, 10313, 9213, 18893, 668, 8955, 18, 365, 764, 3709, 8267, 16, 687, 726, 282, 13757, 1555, 9919, 1919, 16, 1702, 313, 1880, 478, 13781, 470, 1642, 15536, 857, 478, 19386, 7618, 861, 10429, 275, 2948, 16, 15014, 16, 20800, 7739, 3033, 5848, 2846, 37183, 448, 15277, 919, 18, 3759, 1038, 322, 26008, 749, 8440, 379, 651, 46459, 14380, 451, 282, 18823, 1175, 309, 26567, 478, 13802, 1042, 332, 470, 14153, 7857, 513, 5881, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 45907, 33498, 22322, 718, 478, 36796, 470, 9810, 38213, 1447, 21161, 17802, 1175, 309, 11506, 7561, 2422, 334, 15749, 282, 11826, 1045, 18, 24295, 6842, 868, 6181, 309, 9725, 9314, 282, 9937, 282, 14109, 9964, 478, 1098, 578, 1952, 18569, 910, 988, 5037, 21999, 6096, 16195, 26330, 12679, 281, 1126, 761, 1479, 24225, 27408, 1963, 16, 48431, 13453, 282, 29076, 25796, 478, 297, 13359, 2435, 289, 309, 13211, 758, 861, 31224, 30, 677, 9937, 282, 14109, 9601, 1949, 22044, 549, 38400, 26086, 478, 1098, 578, 1952, 18569, 861, 1591, 808, 978, 7461, 3771, 282, 6940, 445, 22644, 1423, 17802, 309 ]
[ 11506, 7561, 2422, 334, 15749, 282, 11826, 289, 1939, 5759, 6206, 18, 640, 6747, 1066, 282, 11147, 10676, 13712, 7190, 14795, 10830, 43773, 23904, 289, 4909, 1437, 18, 6551, 23640, 6187, 42437, 418, 2514, 7920, 6096, 16195, 26330, 1624, 5358, 1779, 282, 5192, 441, 416, 2095, 16652, 16, 289, 6096, 25321, 1520, 18, 2949, 924, 16, 428, 2438, 3665, 478, 46088, 18, 8381, 910, 6747, 1066, 23474, 18974, 22322, 718, 478, 36796, 470, 9810, 38213, 1447, 1624, 387, 2556, 1779, 282, 4356, 21999, 1175, 18, 32575, 536, 639, 18804, 37622, 884, 16, 567, 10246, 5389, 3732, 20419, 7423, 1251, 9609, 289, 7700, 355, 16, 5911, 49409, 282, 25796, 18, 8859, 14612, 29076, 18, 478, 45211, 695, 656, 322, 13985, 7964, 14450, 289, 20092, 382, 16, 510, 2815, 5037, 7583, 21999, 18, 651, 20466, 16, 374, 417, 2447, 2023, 16, 481, 502, 16, 374, 656, 939, 8302, 10681, 43464, 5210, 18, 1345, 322, 34673, 326, 329, 24308, 537, 13053, 1612, 411, 17, 431, 27161, 1580, 20649, 670, 21978, 2596, 15506, 291, 16, 322, 35288, 2240, 978, 289, 31206, 861, 16195, 26330, 2815, 16, 374, 685, 28075, 1390, 309, 33635, 1065, 2165, 21999, 289, 840, 481, 2240, 282, 3178, 24083, 1949, 4776, 30, 478, 1358, 3754, 322, 3684, 16, 374, 475, 481, 5736, 1777, 506, 309, 2759, 1576, 582, 18, 365, 1004, 1733, 2917, 1694, 289, 8059, 567, 10246, 5010, 276, 18, 6023, 687, 939, 10677, 16, 374, 2874, 40586, 7739, 1157, 453, 965, 12596, 861, 365, 502, 808, 428, 32710, 37386, 6406, 11726, 687, 360, 24637, 26716, 282, 4843, 3902, 21, 3763, 16, 16195, 26330, 322, 11661, 7512, 282, 4843, 26, 5096, 309, 7955, 9388, 1970, 18, 832, 906, 23829, 798, 16870, 289, 9200, 351, 440, 8323, 16, 453, 7556, 19428, 414, 35774, 282, 9460, 18, 478, 8572, 440, 9351, 289, 475, 505, 17416, 651, 3432, 3050, 6439, 541, 1223, 33450, 2422, 16, 322, 4748, 16, 988, 387, 40893, 16, 510, 2815, 16195, 26330, 18, 651, 365, 1175, 939, 48893, 7938, 1279, 351, 440, 8323, 18, 1345, 322, 25684, 16, 374, 6439, 281, 351, 440, 26763, 282, 2759, 4008, 453, 3081, 324, 16, 428, 3888, 12530, 722, 6348, 18, 365, 3591, 4008, 2422, 16, 827, 6174, 4786, 1512, 9733, 1974, 16, 6535, 1272, 17, 1198, 1631, 16, 411, 17, 431, 1639, 30121, 6247, 18, 832, 1381, 11670, 334, 2184, 5067, 28221, 3899, 18, 1606, 1139, 6696, 4093, 12776, 11858, 861, 478, 29579, 282, 1175, 939, 22654, 289, 24263, 318, 18, 1178, 387, 38820, 22677, 3270, 21972, 18952, 5539, 290, 23652, 351, 440, 8323, 16, 492, 1304, 1139, 322, 25775, 16, 322, 25775, 16, 290, 828, 387, 11823, 16, 8602, 910, 510, 6877, 300, 34962, 16195, 26330, 18, 439, 36042, 1291, 639, 2616, 18, 640, 9964, 31435, 6677, 1715, 1209, 28759, 309, 11506, 7561, 2422, 30, 1241, 23074, 16, 10440, 16, 9460, 16, 2145, 16, 36473, 289, 29956, 16, 367, 1038, 11254, 18, 14586, 289, 39304, 42222, 30, 5815, 478, 1605, 551, 5097, 470, 21232, 7323, 8435, 1624, 24026, 478, 31538, 29238, 470, 35457, 365, 21011, 287, 16, 4960, 478, 1182, 2679, 40595, 429, 470, 35350, 9561, 791, 289, 2393, 18, 2949, 37622, 884, 3989, 21072, 9946, 639, 18804, 2390, 2822, 17802, 9460, 30241, 9186, 508, 665, 16, 1029, 10398, 14412, 8236, 3153, 8671, 290, 3723, 707, 18, 9603, 1682, 6946, 349, 17802, 9460, 16, 9186, 508, 320, 2815, 16, 374, 34581, 433, 1943, 2164, 506, 505, 4008, 16, 3387, 481, 1680, 1208, 305, 282, 12544, 9162, 516, 422, 1853, 651, 492, 4040, 1033, 5514, 6822, 18, 478, 677, 6588, 360, 7561, 2422, 282, 43356, 16, 988, 16, 20082, 8602, 16, 281, 2184, 898, 3888, 3860, 910, 510, 1109, 9186, 508, 320, 18, 4802, 6301, 16, 5251, 2837, 10941, 21999, 1175, 9934, 282, 12838, 282, 22643, 18, 439, 41229, 3003, 2417, 635, 24308, 10954, 305, 491, 3972, 282, 1312, 14020, 6755, 18, 11333, 7036, 942, 5298, 309, 7759, 7561, 2422, 11826, 779, 1492, 2, 1, 87, 1456, 81, 2448, 30, 730, 33623, 22813, 10750, 3064, 49457, 34937, 16639, 289, 31985, 282, 3436, 15209, 1175, 18, 740, 827, 282, 2407, 21256, 265, 15834, 19641, 6245, 1235, 13373, 1151, 16, 502, 282, 4729, 13269, 7338, 19581, 293, 34442, 1788, 281, 2319, 1033, 46106, 34196, 18, 5161, 16, 282, 26947, 282, 3198, 8037, 27319, 3610, 1135, 18, 31224, 30, 677, 35045, 22813, 352, 13737, 290, 14454, 582, 34937, 16639, 289, 31985, 282, 3436, 24669, 2662, 1175, 18, 967, 803, 1143, 1223, 24399, 467, 26062, 11716, 1760, 986, 30, 334, 1335, 9044, 21256, 265, 15834, 19641, 6245, 1235, 282, 1281, 24669, 2662, 2407, 18, 1397, 5327, 2533, 16, 502, 9250, 5040, 4730, 27815, 329, 33322, 519, 1949, 986, 2264, 928, 282, 1912, 15209, 16, 329, 2533, 816, 17, 26, 986, 510, 282, 2261, 24669, 2662, 1175, 16, 367, 2496, 20499, 519, 2418, 986, 510, 282, 2123, 15209, 2553, 18, 11824, 11854, 16, 5938, 31344, 277, 14891, 16, 24399, 467, 19581, 3258, 4528, 439, 6166, 12936, 447, 1709, 470, 289, 478, 1009, 356, 2499, 297, 11523, 3551, 377, 2155, 16, 329, 1639, 11257, 19581, 293, 4528, 365, 6166, 983, 4807, 12548, 12235, 1715, 282, 1272, 4570, 3440, 473, 25, 7703, 1279, 2287, 7751, 14434, 814, 365, 2630, 281, 21256, 22064, 31985, 282, 17618, 21030, 3140, 289, 676, 2543, 685, 28809, 37903, 1520, 18, 996, 16, 282, 39531, 1767, 3118, 25477, 1488, 3140, 289, 1760, 13606, 18394, 16, 367, 764, 282, 22291, 21122, 289, 4039, 13606, 2161, 5706, 33840, 4126, 685, 12860, 14640, 637, 18, 3507, 28774, 3440, 1209, 30, 16174, 4730, 27815, 10750, 6025, 4803, 6428, 578, 11415, 1041, 309, 14691, 16, 27, 5999, 17080, 382, 37327, 481, 282, 970, 2875, 289, 281, 28827, 22081, 5885, 334, 49734, 553, 16, 2972, 25942, 282, 11147, 5017, 4028, 13798, 18, 365, 4301, 4696, 49247, 28204, 13440, 942, 639, 2048, 322, 687, 282, 44691, 23378, 4044, 16, 515, 289, 282, 421, 1182, 3127, 670, 2654, 329, 9743, 510, 282, 13652, 478, 39421, 3786, 17, 277, 348, 364, 1751, 861, 7758, 16, 334, 12651, 3761, 16, 282, 1175, 360, 31985, 28204, 299, 1033, 21613, 16, 24, 3763, 1135, 510, 2734, 3440, 11678, 4186, 2553, 18, 21713, 11758, 7067, 3569, 12829, 6514, 6096, 10512, 6235, 4725, 16, 374, 935, 827, 8876, 322, 478, 293, 4290, 3788, 470, 282, 1500, 24204, 277, 31985, 16, 1029, 44184, 309, 5734, 2083, 16, 13458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11506, 7561, 2422, 334, 15749, 282, 11826, 289, 1939, 5759, 6206, 18, 640, 6747, 1066, 282, 11147, 10676, 13712, 7190, 14795, 10830, 43773, 23904, 289, 4909, 1437, 18, 6551, 23640, 6187, 42437, 418, 2514, 7920, 6096, 16195, 26330, 1624, 5358, 1779, 282, 5192, 441, 416, 2095, 16652, 16, 289, 6096, 25321, 1520, 18, 2949, 924, 16, 428, 2438, 3665, 478, 46088, 18, 8381, 910, 6747, 1066, 23474, 18974, 22322, 718, 478, 36796, 470, 9810, 38213, 1447, 1624, 387, 2556, 1779, 282, 4356, 21999, 1175, 18, 32575, 536, 639, 18804, 37622, 884, 16, 567, 10246, 5389, 3732, 20419, 7423, 1251, 9609, 289, 7700, 355, 16, 5911, 49409, 282, 25796, 18, 8859, 14612, 29076, 18, 478, 45211, 695, 656, 322, 13985, 7964, 14450, 289, 20092, 382, 16, 510, 2815, 5037, 7583, 21999, 18, 651, 20466, 16, 374, 417, 2447, 2023, 16, 481, 502, 16, 374, 656, 939, 8302, 10681, 43464, 5210, 18, 1345, 322, 34673, 326, 329, 24308, 537, 13053, 1612, 411, 17, 431, 27161, 1580, 20649, 670, 21978, 2596, 15506, 291, 16, 322, 35288, 2240, 978, 289, 31206, 861, 16195, 26330, 2815, 16, 374, 685, 28075, 1390, 309, 33635, 1065, 2165, 21999, 289, 840, 481, 2240, 282, 3178, 24083, 1949, 4776, 30, 478, 1358, 3754, 322, 3684, 16, 374, 475, 481, 5736, 1777, 506, 309, 2759, 1576, 582, 18, 365, 1004, 1733, 2917, 1694, 289, 8059, 567, 10246, 5010, 276, 18, 6023, 687, 939, 10677, 16, 374, 2874, 40586, 7739, 1157, 453, 965, 12596, 861, 365, 502, 808, 428, 32710, 37386, 6406, 11726, 687, 360, 24637, 26716, 282, 4843, 3902, 21, 3763, 16, 16195, 26330, 322, 11661, 7512, 282, 4843, 26, 5096, 309, 7955, 9388, 1970, 18, 832, 906, 23829, 798, 16870, 289, 9200, 351, 440, 8323, 16, 453, 7556, 19428, 414, 35774, 282, 9460, 18, 478, 8572, 440, 9351, 289, 475, 505, 17416, 651, 3432, 3050, 6439, 541, 1223, 33450, 2422, 16, 322, 4748, 16, 988, 387, 40893, 16, 510, 2815, 16195, 26330, 18, 651, 365, 1175, 939, 48893, 7938, 1279, 351, 440, 8323, 18, 1345, 322, 25684, 16, 374, 6439, 281, 351, 440, 26763, 282, 2759, 4008, 453, 3081, 324, 16, 428, 3888, 12530, 722, 6348, 18, 365, 3591, 4008, 2422, 16, 827, 6174, 4786, 1512, 9733, 1974, 16, 6535, 1272, 17, 1198, 1631, 16, 411, 17, 431, 1639, 30121, 6247, 18, 832, 1381, 11670, 334, 2184, 5067, 28221, 3899, 18, 1606, 1139, 6696, 4093, 12776, 11858, 861, 478, 29579, 282, 1175, 939, 22654, 289, 24263, 318, 18, 1178, 387, 38820, 22677, 3270, 21972, 18952, 5539, 290, 23652, 351, 440, 8323, 16, 492, 1304, 1139, 322, 25775, 16, 322, 25775, 16, 290, 828, 387, 11823, 16, 8602, 910, 510, 6877, 300, 34962, 16195, 26330, 18, 439, 36042, 1291, 639, 2616, 18, 640, 9964, 31435, 6677, 1715, 1209, 28759, 309, 11506, 7561, 2422, 30, 1241, 23074, 16, 10440, 16, 9460, 16, 2145, 16, 36473, 289, 29956, 16, 367, 1038, 11254, 18, 14586, 289, 39304, 42222, 30, 5815, 478, 1605, 551, 5097, 470, 21232, 7323, 8435, 1624, 24026, 478, 31538, 29238, 470, 35457, 365, 21011, 287, 16, 4960, 478, 1182, 2679, 40595, 429, 470, 35350, 9561, 791, 289, 2393, 18, 2949, 37622, 884, 3989, 21072, 9946, 639, 18804, 2390, 2822, 17802, 9460, 30241, 9186, 508, 665, 16, 1029, 10398, 14412, 8236, 3153, 8671, 290, 3723, 707, 18, 9603, 1682, 6946, 349, 17802, 9460, 16, 9186, 508, 320, 2815, 16, 374, 34581, 433, 1943, 2164, 506, 505, 4008, 16, 3387, 481, 1680, 1208, 305, 282, 12544, 9162, 516, 422, 1853, 651, 492, 4040, 1033, 5514, 6822, 18, 478, 677, 6588, 360, 7561, 2422, 282, 43356, 16, 988, 16, 20082, 8602, 16, 281, 2184, 898, 3888, 3860, 910, 510, 1109, 9186, 508, 320, 18, 4802, 6301, 16, 5251, 2837, 10941, 21999, 1175, 9934, 282, 12838, 282, 22643, 18, 439, 41229, 3003, 2417, 635, 24308, 10954, 305, 491, 3972, 282, 1312, 14020, 6755, 18, 11333, 7036, 942, 5298, 309, 7759, 7561, 2422, 11826, 779, 1492, 2, 1, 87, 1456, 81, 2448, 30, 730, 33623, 22813, 10750, 3064, 49457, 34937, 16639, 289, 31985, 282, 3436, 15209, 1175, 18, 740, 827, 282, 2407, 21256, 265, 15834, 19641, 6245, 1235, 13373, 1151, 16, 502, 282, 4729, 13269, 7338, 19581, 293, 34442, 1788, 281, 2319, 1033, 46106, 34196, 18, 5161, 16, 282, 26947, 282, 3198, 8037, 27319, 3610, 1135, 18, 31224, 30, 677, 35045, 22813, 352, 13737, 290, 14454, 582, 34937, 16639, 289, 31985, 282, 3436, 24669, 2662, 1175, 18, 967, 803, 1143, 1223, 24399, 467, 26062, 11716, 1760, 986, 30, 334, 1335, 9044, 21256, 265, 15834, 19641, 6245, 1235, 282, 1281, 24669, 2662, 2407, 18, 1397, 5327, 2533, 16, 502, 9250, 5040, 4730, 27815, 329, 33322, 519, 1949, 986, 2264, 928, 282, 1912, 15209, 16, 329, 2533, 816, 17, 26, 986, 510, 282, 2261, 24669, 2662, 1175, 16, 367, 2496, 20499, 519, 2418, 986, 510, 282, 2123, 15209, 2553, 18, 11824, 11854, 16, 5938, 31344, 277, 14891, 16, 24399, 467, 19581, 3258, 4528, 439, 6166, 12936, 447, 1709, 470, 289, 478, 1009, 356, 2499, 297, 11523, 3551, 377, 2155, 16, 329, 1639, 11257, 19581, 293, 4528, 365, 6166, 983, 4807, 12548, 12235, 1715, 282, 1272, 4570, 3440, 473, 25, 7703, 1279, 2287, 7751, 14434, 814, 365, 2630, 281, 21256, 22064, 31985, 282, 17618, 21030, 3140, 289, 676, 2543, 685, 28809, 37903, 1520, 18, 996, 16, 282, 39531, 1767, 3118, 25477, 1488, 3140, 289, 1760, 13606, 18394, 16, 367, 764, 282, 22291, 21122, 289, 4039, 13606, 2161, 5706, 33840, 4126, 685, 12860, 14640, 637, 18, 3507, 28774, 3440, 1209, 30, 16174, 4730, 27815, 10750, 6025, 4803, 6428, 578, 11415, 1041, 309, 14691, 16, 27, 5999, 17080, 382, 37327, 481, 282, 970, 2875, 289, 281, 28827, 22081, 5885, 334, 49734, 553, 16, 2972, 25942, 282, 11147, 5017, 4028, 13798, 18, 365, 4301, 4696, 49247, 28204, 13440, 942, 639, 2048, 322, 687, 282, 44691, 23378, 4044, 16, 515, 289, 282, 421, 1182, 3127, 670, 2654, 329, 9743, 510, 282, 13652, 478, 39421, 3786, 17, 277, 348, 364, 1751, 861, 7758, 16, 334, 12651, 3761, 16, 282, 1175, 360, 31985, 28204, 299, 1033, 21613, 16, 24, 3763, 1135, 510, 2734, 3440, 11678, 4186, 2553, 18, 21713, 11758, 7067, 3569, 12829, 6514, 6096, 10512, 6235, 4725, 16, 374, 935, 827, 8876, 322, 478, 293, 4290, 3788, 470, 282, 1500, 24204, 277, 31985, 16, 1029, 44184, 309, 5734, 2083, 16, 13458 ]
[ 27707, 2552, 1205, 7969, 49734, 8826, 7343, 19062, 36712, 4186, 18, 2046, 502, 16, 374, 282, 3507, 670, 1888, 15209, 322, 3696, 2773, 21256, 746, 31985, 16, 4521, 322, 2862, 16, 374, 14767, 659, 973, 1177, 17340, 349, 1992, 9518, 1122, 322, 639, 18, 32166, 49240, 973, 2993, 14062, 21442, 4999, 473, 19746, 16792, 265, 14328, 27134, 934, 367, 519, 1110, 1326, 3333, 27885, 548, 23800, 13449, 19902, 478, 37445, 16639, 910, 367, 322, 478, 297, 4237, 293, 861, 824, 4734, 14971, 16, 1830, 37071, 31985, 2812, 701, 726, 23658, 309, 32254, 289, 12605, 701, 3964, 322, 567, 1209, 15209, 16, 3111, 290, 970, 16, 374, 21256, 746, 8037, 1524, 5656, 6551, 16, 2955, 18, 824, 3163, 12546, 16159, 7884, 289, 14682, 28240, 14630, 1962, 272, 11565, 3718, 773, 18, 2777, 928, 401, 18061, 439, 2147, 267, 401, 16, 478, 19746, 16792, 746, 282, 3436, 15209, 510, 481, 8249, 16, 24399, 305, 3716, 14596, 2553, 16, 935, 1143, 861, 2949, 924, 16, 41484, 510, 3147, 478, 1567, 490, 5171, 470, 541, 31985, 5004, 18, 478, 6039, 5917, 360, 19661, 30737, 16, 2552, 1205, 475, 895, 31041, 18, 3791, 309, 5040, 18451, 4510, 16182, 922, 1004, 3841, 389, 289, 20248, 24650, 871, 4186, 18, 4338, 282, 5781, 676, 10298, 411, 17, 431, 10427, 3400, 13622, 34937, 16639, 289, 19581, 3258, 14265, 22033, 2625, 12917, 839, 6053, 18, 22568, 2141, 38739, 294, 5816, 954, 37903, 3949, 910, 510, 2815, 492, 478, 46088, 18, 8381, 861, 45671, 13051, 549, 28740, 16, 1586, 16, 3848, 1223, 16, 2518, 847, 289, 282, 803, 1045, 16, 510, 360, 31985, 282, 1175, 2458, 18468, 25602, 18, 824, 3761, 6677, 49935, 21267, 5857, 1161, 16, 282, 7847, 1045, 5630, 8750, 355, 411, 17, 431, 31985, 282, 4008, 7636, 1323, 282, 1939, 445, 334, 7413, 281, 4145, 12260, 30, 478, 1140, 813, 685, 939, 17622, 509, 1194, 19733, 2205, 18241, 8640, 371, 4730, 9702, 19581, 3258, 510, 322, 1033, 1032, 9, 567, 1209, 24669, 2662, 1175, 18, 608, 813, 3716, 322, 639, 986, 1901, 8640, 861, 450, 3314, 349, 9518, 7847, 17, 28028, 1055, 322, 8849, 16, 3387, 492, 1055, 322, 31089, 18, 528, 4237, 293, 35369, 322, 583, 334, 1190, 16, 367, 34196, 289, 14482, 39369, 18, 365, 8933, 19959, 6535, 4272, 16, 1749, 36254, 434, 6764, 16, 8061, 448, 4109, 289, 1749, 281, 27351, 17, 31512, 10479, 37232, 18, 439, 2147, 1015, 4725, 16, 374, 411, 17, 431, 31985, 895, 4604, 506, 25661, 1024, 542, 16, 15649, 14248, 34994, 16, 4179, 269, 13193, 14248, 289, 308, 4205, 44556, 18, 4794, 44699, 2805, 40651, 541, 478, 3045, 476, 18611, 470, 289, 38705, 473, 272, 1129, 745, 17101, 5808, 309, 726, 37261, 25508, 289, 16444, 2257, 8265, 814, 4635, 2388, 9044, 4186, 19299, 7081, 1223, 282, 7044, 18, 824, 3352, 49935, 16, 14113, 46931, 12396, 454, 8239, 26432, 1015, 31985, 10750, 8087, 282, 3918, 807, 750, 16, 46823, 16368, 16, 26947, 16, 27165, 16, 5306, 16, 26090, 16, 46463, 16, 19992, 16, 4862, 289, 10311, 615, 18, 11824, 18241, 8640, 282, 13269, 7338, 2282, 15844, 19581, 3258, 4528, 951, 289, 15379, 329, 1562, 11716, 1760, 986, 18, 365, 2343, 3750, 8846, 16, 374, 282, 26947, 349, 1421, 5576, 282, 3198, 49457, 31985, 27319, 3610, 1135, 510, 14691, 411, 1129, 898, 11716, 5259, 986, 18, 824, 3352, 7904, 1962, 375, 5323, 354, 26947, 16, 5630, 13622, 282, 4008, 309, 1800, 4896, 430, 16, 12555, 4500, 18, 1135, 309, 3417, 4500, 18, 4186, 18, 365, 37217, 4349, 289, 281, 14482, 39369, 282, 676, 10298, 6535, 1877, 1135, 18, 30844, 16792, 746, 282, 803, 1045, 32417, 322, 687, 5538, 16, 515, 289, 2145, 30, 764, 282, 2343, 10841, 35045, 22813, 43938, 18952, 2986, 16, 2338, 9946, 16012, 25836, 16, 2048, 28204, 13440, 360, 31985, 289, 19162, 7272, 44142, 18, 19591, 14822, 31985, 282, 2145, 12543, 282, 12838, 7847, 779, 18, 640, 14515, 11056, 11826, 779, 5630, 14767, 659, 973, 13107, 1066, 639, 3230, 16811, 3716, 282, 1421, 4570, 18, 365, 13531, 3040, 2662, 19645, 21256, 4143, 31985, 18, 365, 3198, 8037, 29140, 10608, 2533, 18, 6096, 10512, 6235, 5273, 16, 374, 14113, 8750, 622, 360, 31985, 282, 7044, 895, 2382, 12271, 867, 16, 374, 1122, 289, 329, 813, 478, 275, 8954, 470, 5230, 424, 345, 1923, 37072, 18, 23976, 16, 21256, 746, 282, 7044, 44205, 2879, 22482, 357, 282, 6551, 18, 478, 21393, 1033, 3469, 317, 1545, 16, 367, 912, 2619, 3469, 317, 1545, 17340, 18, 2124, 4684, 16, 3888, 6101, 31985, 14417, 23001, 986, 19212, 510, 475, 5917, 360, 3806, 46237, 478, 44, 470, 289, 478, 50, 910, 411, 7643, 883, 1639, 4557, 8394, 6911, 24204, 918, 18, 4950, 14513, 16, 374, 282, 10157, 4143, 289, 2393, 25850, 2553, 685, 2337, 501, 286, 3469, 15834, 24204, 277, 910, 510, 3828, 492, 18, 17080, 382, 282, 6940, 445, 45950, 322, 20982, 4619, 309, 2768, 670, 44592, 371, 5606, 2202, 1165, 8265, 18, 478, 5673, 323, 4181, 12058, 1472, 16684, 49454, 411, 14621, 1992, 12727, 910, 510, 29230, 439, 2147, 1015, 18, 2949, 924, 16, 15416, 24169, 2410, 2483, 770, 27486, 281, 5578, 282, 12971, 6594, 670, 2141, 603, 2374, 1954, 360, 1129, 18, 36450, 45119, 11179, 289, 8522, 33364, 2038, 16, 2641, 289, 2283, 510, 2805, 1011, 7626, 289, 11758, 10547, 18, 1606, 1038, 2394, 2625, 851, 41208, 874, 289, 27044, 2795, 36856, 289, 14451, 7775, 18, 365, 4099, 404, 17, 546, 5945, 1555, 12034, 263, 2125, 953, 24848, 16, 36479, 40898, 385, 510, 3057, 16, 5155, 273, 342, 16, 31749, 837, 289, 25006, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 344, 1357, 35361, 680, 11898, 2422, 22444, 18964, 9667, 21487, 15506, 18, 6193, 990, 2044, 16, 6895, 6551, 16, 38199, 12570, 282, 17581, 7153, 5535, 11898, 16, 2588, 1811, 30302, 6081, 2818, 9622, 8665, 623, 47198, 2220, 41738, 17617, 18, 32166, 4683, 19193, 16, 322, 18090, 47706, 3361, 281, 25198, 16, 895, 764, 46497, 18, 31224, 30, 6706, 12241, 26923, 778, 35361, 778, 11285, 6925, 1737, 8348, 16, 282, 2114, 3828, 381, 37003, 26304, 7518, 2044, 5134, 3455, 282, 17581, 49495, 35361, 680, 11898, 2422, 978, 779, 18, 49779, 43569, 282, 2327, 435, 309, 1533, 3972, 18, 44486, 887, 4398, 276, 1175, 16, 16899, 16, 6590, 276, 16, 49072, 16, 28074, 289, 11612, 16, 31999, 8495, 7920, 18, 35361, 778, 11285, 5273, 5024, 4075, 41702, 289, 1435 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27707, 2552, 1205, 7969, 49734, 8826, 7343, 19062, 36712, 4186, 18, 2046, 502, 16, 374, 282, 3507, 670, 1888, 15209, 322, 3696, 2773, 21256, 746, 31985, 16, 4521, 322, 2862, 16, 374, 14767, 659, 973, 1177, 17340, 349, 1992, 9518, 1122, 322, 639, 18, 32166, 49240, 973, 2993, 14062, 21442, 4999, 473, 19746, 16792, 265, 14328, 27134, 934, 367, 519, 1110, 1326, 3333, 27885, 548, 23800, 13449, 19902, 478, 37445, 16639, 910, 367, 322, 478, 297, 4237, 293, 861, 824, 4734, 14971, 16, 1830, 37071, 31985, 2812, 701, 726, 23658, 309, 32254, 289, 12605, 701, 3964, 322, 567, 1209, 15209, 16, 3111, 290, 970, 16, 374, 21256, 746, 8037, 1524, 5656, 6551, 16, 2955, 18, 824, 3163, 12546, 16159, 7884, 289, 14682, 28240, 14630, 1962, 272, 11565, 3718, 773, 18, 2777, 928, 401, 18061, 439, 2147, 267, 401, 16, 478, 19746, 16792, 746, 282, 3436, 15209, 510, 481, 8249, 16, 24399, 305, 3716, 14596, 2553, 16, 935, 1143, 861, 2949, 924, 16, 41484, 510, 3147, 478, 1567, 490, 5171, 470, 541, 31985, 5004, 18, 478, 6039, 5917, 360, 19661, 30737, 16, 2552, 1205, 475, 895, 31041, 18, 3791, 309, 5040, 18451, 4510, 16182, 922, 1004, 3841, 389, 289, 20248, 24650, 871, 4186, 18, 4338, 282, 5781, 676, 10298, 411, 17, 431, 10427, 3400, 13622, 34937, 16639, 289, 19581, 3258, 14265, 22033, 2625, 12917, 839, 6053, 18, 22568, 2141, 38739, 294, 5816, 954, 37903, 3949, 910, 510, 2815, 492, 478, 46088, 18, 8381, 861, 45671, 13051, 549, 28740, 16, 1586, 16, 3848, 1223, 16, 2518, 847, 289, 282, 803, 1045, 16, 510, 360, 31985, 282, 1175, 2458, 18468, 25602, 18, 824, 3761, 6677, 49935, 21267, 5857, 1161, 16, 282, 7847, 1045, 5630, 8750, 355, 411, 17, 431, 31985, 282, 4008, 7636, 1323, 282, 1939, 445, 334, 7413, 281, 4145, 12260, 30, 478, 1140, 813, 685, 939, 17622, 509, 1194, 19733, 2205, 18241, 8640, 371, 4730, 9702, 19581, 3258, 510, 322, 1033, 1032, 9, 567, 1209, 24669, 2662, 1175, 18, 608, 813, 3716, 322, 639, 986, 1901, 8640, 861, 450, 3314, 349, 9518, 7847, 17, 28028, 1055, 322, 8849, 16, 3387, 492, 1055, 322, 31089, 18, 528, 4237, 293, 35369, 322, 583, 334, 1190, 16, 367, 34196, 289, 14482, 39369, 18, 365, 8933, 19959, 6535, 4272, 16, 1749, 36254, 434, 6764, 16, 8061, 448, 4109, 289, 1749, 281, 27351, 17, 31512, 10479, 37232, 18, 439, 2147, 1015, 4725, 16, 374, 411, 17, 431, 31985, 895, 4604, 506, 25661, 1024, 542, 16, 15649, 14248, 34994, 16, 4179, 269, 13193, 14248, 289, 308, 4205, 44556, 18, 4794, 44699, 2805, 40651, 541, 478, 3045, 476, 18611, 470, 289, 38705, 473, 272, 1129, 745, 17101, 5808, 309, 726, 37261, 25508, 289, 16444, 2257, 8265, 814, 4635, 2388, 9044, 4186, 19299, 7081, 1223, 282, 7044, 18, 824, 3352, 49935, 16, 14113, 46931, 12396, 454, 8239, 26432, 1015, 31985, 10750, 8087, 282, 3918, 807, 750, 16, 46823, 16368, 16, 26947, 16, 27165, 16, 5306, 16, 26090, 16, 46463, 16, 19992, 16, 4862, 289, 10311, 615, 18, 11824, 18241, 8640, 282, 13269, 7338, 2282, 15844, 19581, 3258, 4528, 951, 289, 15379, 329, 1562, 11716, 1760, 986, 18, 365, 2343, 3750, 8846, 16, 374, 282, 26947, 349, 1421, 5576, 282, 3198, 49457, 31985, 27319, 3610, 1135, 510, 14691, 411, 1129, 898, 11716, 5259, 986, 18, 824, 3352, 7904, 1962, 375, 5323, 354, 26947, 16, 5630, 13622, 282, 4008, 309, 1800, 4896, 430, 16, 12555, 4500, 18, 1135, 309, 3417, 4500, 18, 4186, 18, 365, 37217, 4349, 289, 281, 14482, 39369, 282, 676, 10298, 6535, 1877, 1135, 18, 30844, 16792, 746, 282, 803, 1045, 32417, 322, 687, 5538, 16, 515, 289, 2145, 30, 764, 282, 2343, 10841, 35045, 22813, 43938, 18952, 2986, 16, 2338, 9946, 16012, 25836, 16, 2048, 28204, 13440, 360, 31985, 289, 19162, 7272, 44142, 18, 19591, 14822, 31985, 282, 2145, 12543, 282, 12838, 7847, 779, 18, 640, 14515, 11056, 11826, 779, 5630, 14767, 659, 973, 13107, 1066, 639, 3230, 16811, 3716, 282, 1421, 4570, 18, 365, 13531, 3040, 2662, 19645, 21256, 4143, 31985, 18, 365, 3198, 8037, 29140, 10608, 2533, 18, 6096, 10512, 6235, 5273, 16, 374, 14113, 8750, 622, 360, 31985, 282, 7044, 895, 2382, 12271, 867, 16, 374, 1122, 289, 329, 813, 478, 275, 8954, 470, 5230, 424, 345, 1923, 37072, 18, 23976, 16, 21256, 746, 282, 7044, 44205, 2879, 22482, 357, 282, 6551, 18, 478, 21393, 1033, 3469, 317, 1545, 16, 367, 912, 2619, 3469, 317, 1545, 17340, 18, 2124, 4684, 16, 3888, 6101, 31985, 14417, 23001, 986, 19212, 510, 475, 5917, 360, 3806, 46237, 478, 44, 470, 289, 478, 50, 910, 411, 7643, 883, 1639, 4557, 8394, 6911, 24204, 918, 18, 4950, 14513, 16, 374, 282, 10157, 4143, 289, 2393, 25850, 2553, 685, 2337, 501, 286, 3469, 15834, 24204, 277, 910, 510, 3828, 492, 18, 17080, 382, 282, 6940, 445, 45950, 322, 20982, 4619, 309, 2768, 670, 44592, 371, 5606, 2202, 1165, 8265, 18, 478, 5673, 323, 4181, 12058, 1472, 16684, 49454, 411, 14621, 1992, 12727, 910, 510, 29230, 439, 2147, 1015, 18, 2949, 924, 16, 15416, 24169, 2410, 2483, 770, 27486, 281, 5578, 282, 12971, 6594, 670, 2141, 603, 2374, 1954, 360, 1129, 18, 36450, 45119, 11179, 289, 8522, 33364, 2038, 16, 2641, 289, 2283, 510, 2805, 1011, 7626, 289, 11758, 10547, 18, 1606, 1038, 2394, 2625, 851, 41208, 874, 289, 27044, 2795, 36856, 289, 14451, 7775, 18, 365, 4099, 404, 17, 546, 5945, 1555, 12034, 263, 2125, 953, 24848, 16, 36479, 40898, 385, 510, 3057, 16, 5155, 273, 342, 16, 31749, 837, 289, 25006, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 344, 1357, 35361, 680, 11898, 2422, 22444, 18964, 9667, 21487, 15506, 18, 6193, 990, 2044, 16, 6895, 6551, 16, 38199, 12570, 282, 17581, 7153, 5535, 11898, 16, 2588, 1811, 30302, 6081, 2818, 9622, 8665, 623, 47198, 2220, 41738, 17617, 18, 32166, 4683, 19193, 16, 322, 18090, 47706, 3361, 281, 25198, 16, 895, 764, 46497, 18, 31224, 30, 6706, 12241, 26923, 778, 35361, 778, 11285, 6925, 1737, 8348, 16, 282, 2114, 3828, 381, 37003, 26304, 7518, 2044, 5134, 3455, 282, 17581, 49495, 35361, 680, 11898, 2422, 978, 779, 18, 49779, 43569, 282, 2327, 435, 309, 1533, 3972, 18, 44486, 887, 4398, 276, 1175, 16, 16899, 16, 6590, 276, 16, 49072, 16, 28074, 289, 11612, 16, 31999, 8495, 7920, 18, 35361, 778, 11285, 5273, 5024, 4075, 41702, 289, 1435 ]
[ 6205, 424, 23057, 11944, 11612, 16, 453, 428, 39495, 35361, 680, 11898, 2422, 4479, 779, 6170, 12554, 645, 2220, 41738, 17617, 7304, 1893, 329, 965, 309, 22993, 2287, 17, 7745, 17288, 451, 3017, 473, 324, 490, 847, 282, 17063, 281, 3972, 5021, 779, 13, 334, 35491, 282, 20701, 3819, 2973, 7904, 14621, 9807, 680, 44543, 6664, 18, 7249, 309, 40608, 11944, 3725, 2044, 16, 37186, 2891, 38199, 18350, 2220, 541, 20711, 17581, 49495, 35361, 680, 11898, 18, 478, 1358, 322, 2060, 4758, 10049, 27912, 16, 785, 8768, 4116, 7556, 289, 2654, 11638, 11187, 26304, 35988, 506, 360, 20711, 284, 27599, 680, 17581, 910, 40590, 2815, 30572, 21408, 18696, 269, 2220, 268, 476, 419, 280, 16, 14995, 35361, 718, 7920, 18, 824, 3163, 21993, 16, 6081, 1162, 12483, 2651, 17604, 1066, 16, 21219, 15580, 1450, 282, 2630, 281, 7153, 6726, 5302, 16028, 25198, 11898, 16, 48959, 322, 13077, 3930, 4068, 18, 824, 3761, 7920, 16, 33863, 11896, 28856, 300, 282, 22969, 1888, 2044, 28174, 7792, 290, 15708, 14529, 8465, 567, 7153, 5535, 11898, 2220, 18, 365, 14301, 639, 36141, 290, 14938, 478, 25882, 2370, 292, 470, 8465, 282, 17581, 18, 824, 29651, 2220, 268, 476, 419, 347, 16, 764, 2261, 30694, 4026, 28641, 282, 2327, 435, 26304, 1055, 322, 20137, 309, 22550, 40590, 7767, 6703, 541, 23552, 16, 4419, 37963, 309, 1760, 4120, 16, 1055, 1103, 21894, 18, 6831, 4859, 3302, 15270, 40762, 21188, 40590, 43356, 289, 35343, 18, 4320, 21283, 41655, 360, 8653, 2044, 473, 296, 2315, 10093, 40590, 2553, 16101, 16, 27633, 13, 411, 15882, 16, 13479, 17750, 7393, 282, 2327, 435, 18, 40816, 766, 2059, 411, 26931, 933, 2044, 3828, 21408, 16, 374, 1715, 6769, 7153, 1357, 7553, 5802, 7190, 764, 3437, 2044, 40590, 34340, 429, 16, 45184, 289, 8937, 12285, 16, 14795, 15901, 17815, 25198, 282, 11736, 18, 824, 3163, 15479, 16, 15690, 323, 24853, 2712, 3038, 47684, 30, 2496, 16061, 268, 712, 309, 21901, 282, 803, 1045, 685, 289, 282, 44736, 778, 6170, 12554, 645, 18, 43150, 45184, 289, 8937, 12285, 428, 445, 282, 1119, 17581, 30850, 282, 4391, 13770, 16, 374, 840, 5316, 315, 9402, 7553, 332, 18, 3771, 24853, 2712, 1595, 3038, 867, 575, 18, 478, 44894, 323, 10035, 424, 34713, 382, 282, 16992, 7978, 1003, 18, 2320, 19827, 322, 840, 282, 26303, 282, 1119, 17581, 16, 40590, 1109, 478, 46088, 18, 8381, 470, 3781, 17, 766, 354, 466, 22969, 1175, 282, 26303, 4137, 7375, 673, 291, 18, 40590, 38584, 343, 906, 12731, 8087, 764, 519, 924, 16, 428, 2438, 3665, 40798, 284, 27599, 933, 9870, 861, 640, 1247, 478, 32485, 18, 8381, 470, 290, 3775, 20348, 4758, 14840, 22969, 1175, 309, 17581, 7375, 673, 291, 2715, 16, 374, 481, 4385, 16, 453, 428, 22550, 9721, 309, 3499, 7978, 30, 478, 6161, 22550, 10232, 309, 3499, 2616, 17, 299, 4758, 16, 502, 481, 840, 726, 7969, 6295, 861, 478, 40130, 429, 360, 11612, 281, 9130, 7237, 35988, 506, 360, 20711, 17581, 2826, 5684, 7190, 1209, 12328, 366, 7796, 10263, 282, 26303, 910, 40590, 11661, 7375, 673, 291, 18, 640, 3361, 26303, 281, 9609, 3038, 4534, 360, 17581, 322, 21519, 305, 18, 478, 682, 27599, 778, 11285, 40590, 481, 35583, 8967, 16, 678, 4901, 4782, 289, 13772, 360, 813, 37090, 1617, 3361, 281, 3251, 758, 32422, 353, 910, 40590, 7299, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 26923, 718, 21770, 4529, 18, 37729, 5273, 16, 374, 9402, 6309, 1175, 16, 428, 289, 11248, 1888, 17767, 25198, 16, 2756, 1717, 11268, 18, 478, 677, 17581, 49495, 11898, 2422, 939, 1269, 17198, 424, 6339, 419, 18, 365, 344, 3055, 21901, 2422, 2220, 41738, 17617, 16, 35361, 778, 11285, 5695, 3670, 10939, 306, 16, 374, 4650, 539, 29694, 6106, 20882, 290, 970, 16, 374, 1122, 3621, 16, 289, 39205, 309, 11417, 8898, 1640, 32137, 10342, 18, 1787, 1175, 575, 16146, 416, 16213, 3929, 10718, 3361, 281, 38979, 18, 3266, 1880, 29694, 6106, 19381, 20854, 282, 15770, 322, 37275, 16, 2391, 3771, 895, 11721, 1190, 9099, 575, 1262, 910, 40590, 2548, 2076, 35544, 16986, 9622, 22393, 7921, 6096, 25610, 2931, 18, 2681, 282, 3998, 4120, 4770, 6370, 16640, 29151, 30028, 281, 38979, 428, 31105, 334, 18816, 21580, 680, 3320, 11993, 473, 1034, 43122, 6778, 12735, 290, 21992, 282, 8384, 281, 39468, 16, 23542, 45779, 289, 17664, 26763, 18, 6592, 15922, 6325, 16, 1963, 2125, 27096, 1954, 13988, 381, 30542, 289, 29692, 16, 961, 37048, 17664, 5364, 282, 2059, 411, 2044, 18, 365, 344, 1357, 478, 682, 348, 831, 470, 2220, 41738, 17617, 281, 6175, 17420, 381, 803, 2438, 22647, 15506, 304, 18, 25886, 375, 322, 687, 322, 36229, 309, 40608, 27207, 6170, 12554, 1321, 309, 9734, 1433, 16, 515, 322, 23085, 14698, 309, 25620, 282, 2327, 435, 31870, 505, 5169, 473, 32804, 6625, 2220, 9600, 3164, 424, 40956, 44649, 814, 13353, 7260, 16, 309, 17581, 840, 1139, 29128, 290, 7153, 5535, 16, 515, 14802, 16, 31166, 309, 1533, 3763, 13328, 933, 34603, 47568, 21, 16, 24, 3763, 13, 289, 5943, 451, 6116, 21704, 282, 35361, 1212, 40745, 18, 365, 2327, 435, 282, 1119, 17581, 7614, 802, 11815, 21680, 2155, 19683, 3873, 8053, 18, 4756, 35361, 2127, 21901, 2422, 11451, 7153, 4375, 6170, 12554, 18249, 411, 1888, 2044, 18, 996, 16, 722, 18661, 28279, 1623, 34746, 4944, 20838, 4929, 478, 431, 20312, 25743, 8156, 14606, 1901, 23368, 2422, 1251, 5578, 289, 10904, 6731, 13375, 477, 20232, 3021, 16527, 289, 37569, 43032, 47034, 12798, 14753, 470, 289, 3806, 324, 377, 41275, 2312, 12995, 4328, 415, 409, 7960, 16, 1977, 291, 16559, 281, 6447, 354, 3394, 4019, 282, 24274, 680, 5306, 18, 7042, 18799, 6170, 440, 2895, 548, 1038, 3929, 284, 27599, 3334, 18661, 264, 2389, 282, 1888, 16061, 4678, 30, 29884, 21152, 778, 1624, 3720, 47800, 268, 1624, 9715, 44166, 29237, 898, 16844, 1007, 11898, 334, 14908, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9805, 26834, 8874, 3560, 27871, 2110, 6793, 15449, 377, 13104, 40935, 13786, 478, 277, 2707, 4271, 8920, 10616, 439, 331, 315, 399, 1465, 510, 24625, 3589, 289, 8866, 539, 42524, 334, 7546, 21880, 16, 1354, 289, 1223, 2900, 281, 22660, 2549, 49487, 9192, 289, 768, 1083, 3076, 304, 5002, 2445, 304, 18, 2052, 315, 283, 266, 427, 13487, 726, 281, 32188, 11074, 651, 20295, 39205, 16, 374, 505, 12030, 5313, 9480, 478, 277, 2707, 24450, 1717, 477, 1718, 1941, 16, 12168 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6205, 424, 23057, 11944, 11612, 16, 453, 428, 39495, 35361, 680, 11898, 2422, 4479, 779, 6170, 12554, 645, 2220, 41738, 17617, 7304, 1893, 329, 965, 309, 22993, 2287, 17, 7745, 17288, 451, 3017, 473, 324, 490, 847, 282, 17063, 281, 3972, 5021, 779, 13, 334, 35491, 282, 20701, 3819, 2973, 7904, 14621, 9807, 680, 44543, 6664, 18, 7249, 309, 40608, 11944, 3725, 2044, 16, 37186, 2891, 38199, 18350, 2220, 541, 20711, 17581, 49495, 35361, 680, 11898, 18, 478, 1358, 322, 2060, 4758, 10049, 27912, 16, 785, 8768, 4116, 7556, 289, 2654, 11638, 11187, 26304, 35988, 506, 360, 20711, 284, 27599, 680, 17581, 910, 40590, 2815, 30572, 21408, 18696, 269, 2220, 268, 476, 419, 280, 16, 14995, 35361, 718, 7920, 18, 824, 3163, 21993, 16, 6081, 1162, 12483, 2651, 17604, 1066, 16, 21219, 15580, 1450, 282, 2630, 281, 7153, 6726, 5302, 16028, 25198, 11898, 16, 48959, 322, 13077, 3930, 4068, 18, 824, 3761, 7920, 16, 33863, 11896, 28856, 300, 282, 22969, 1888, 2044, 28174, 7792, 290, 15708, 14529, 8465, 567, 7153, 5535, 11898, 2220, 18, 365, 14301, 639, 36141, 290, 14938, 478, 25882, 2370, 292, 470, 8465, 282, 17581, 18, 824, 29651, 2220, 268, 476, 419, 347, 16, 764, 2261, 30694, 4026, 28641, 282, 2327, 435, 26304, 1055, 322, 20137, 309, 22550, 40590, 7767, 6703, 541, 23552, 16, 4419, 37963, 309, 1760, 4120, 16, 1055, 1103, 21894, 18, 6831, 4859, 3302, 15270, 40762, 21188, 40590, 43356, 289, 35343, 18, 4320, 21283, 41655, 360, 8653, 2044, 473, 296, 2315, 10093, 40590, 2553, 16101, 16, 27633, 13, 411, 15882, 16, 13479, 17750, 7393, 282, 2327, 435, 18, 40816, 766, 2059, 411, 26931, 933, 2044, 3828, 21408, 16, 374, 1715, 6769, 7153, 1357, 7553, 5802, 7190, 764, 3437, 2044, 40590, 34340, 429, 16, 45184, 289, 8937, 12285, 16, 14795, 15901, 17815, 25198, 282, 11736, 18, 824, 3163, 15479, 16, 15690, 323, 24853, 2712, 3038, 47684, 30, 2496, 16061, 268, 712, 309, 21901, 282, 803, 1045, 685, 289, 282, 44736, 778, 6170, 12554, 645, 18, 43150, 45184, 289, 8937, 12285, 428, 445, 282, 1119, 17581, 30850, 282, 4391, 13770, 16, 374, 840, 5316, 315, 9402, 7553, 332, 18, 3771, 24853, 2712, 1595, 3038, 867, 575, 18, 478, 44894, 323, 10035, 424, 34713, 382, 282, 16992, 7978, 1003, 18, 2320, 19827, 322, 840, 282, 26303, 282, 1119, 17581, 16, 40590, 1109, 478, 46088, 18, 8381, 470, 3781, 17, 766, 354, 466, 22969, 1175, 282, 26303, 4137, 7375, 673, 291, 18, 40590, 38584, 343, 906, 12731, 8087, 764, 519, 924, 16, 428, 2438, 3665, 40798, 284, 27599, 933, 9870, 861, 640, 1247, 478, 32485, 18, 8381, 470, 290, 3775, 20348, 4758, 14840, 22969, 1175, 309, 17581, 7375, 673, 291, 2715, 16, 374, 481, 4385, 16, 453, 428, 22550, 9721, 309, 3499, 7978, 30, 478, 6161, 22550, 10232, 309, 3499, 2616, 17, 299, 4758, 16, 502, 481, 840, 726, 7969, 6295, 861, 478, 40130, 429, 360, 11612, 281, 9130, 7237, 35988, 506, 360, 20711, 17581, 2826, 5684, 7190, 1209, 12328, 366, 7796, 10263, 282, 26303, 910, 40590, 11661, 7375, 673, 291, 18, 640, 3361, 26303, 281, 9609, 3038, 4534, 360, 17581, 322, 21519, 305, 18, 478, 682, 27599, 778, 11285, 40590, 481, 35583, 8967, 16, 678, 4901, 4782, 289, 13772, 360, 813, 37090, 1617, 3361, 281, 3251, 758, 32422, 353, 910, 40590, 7299, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 26923, 718, 21770, 4529, 18, 37729, 5273, 16, 374, 9402, 6309, 1175, 16, 428, 289, 11248, 1888, 17767, 25198, 16, 2756, 1717, 11268, 18, 478, 677, 17581, 49495, 11898, 2422, 939, 1269, 17198, 424, 6339, 419, 18, 365, 344, 3055, 21901, 2422, 2220, 41738, 17617, 16, 35361, 778, 11285, 5695, 3670, 10939, 306, 16, 374, 4650, 539, 29694, 6106, 20882, 290, 970, 16, 374, 1122, 3621, 16, 289, 39205, 309, 11417, 8898, 1640, 32137, 10342, 18, 1787, 1175, 575, 16146, 416, 16213, 3929, 10718, 3361, 281, 38979, 18, 3266, 1880, 29694, 6106, 19381, 20854, 282, 15770, 322, 37275, 16, 2391, 3771, 895, 11721, 1190, 9099, 575, 1262, 910, 40590, 2548, 2076, 35544, 16986, 9622, 22393, 7921, 6096, 25610, 2931, 18, 2681, 282, 3998, 4120, 4770, 6370, 16640, 29151, 30028, 281, 38979, 428, 31105, 334, 18816, 21580, 680, 3320, 11993, 473, 1034, 43122, 6778, 12735, 290, 21992, 282, 8384, 281, 39468, 16, 23542, 45779, 289, 17664, 26763, 18, 6592, 15922, 6325, 16, 1963, 2125, 27096, 1954, 13988, 381, 30542, 289, 29692, 16, 961, 37048, 17664, 5364, 282, 2059, 411, 2044, 18, 365, 344, 1357, 478, 682, 348, 831, 470, 2220, 41738, 17617, 281, 6175, 17420, 381, 803, 2438, 22647, 15506, 304, 18, 25886, 375, 322, 687, 322, 36229, 309, 40608, 27207, 6170, 12554, 1321, 309, 9734, 1433, 16, 515, 322, 23085, 14698, 309, 25620, 282, 2327, 435, 31870, 505, 5169, 473, 32804, 6625, 2220, 9600, 3164, 424, 40956, 44649, 814, 13353, 7260, 16, 309, 17581, 840, 1139, 29128, 290, 7153, 5535, 16, 515, 14802, 16, 31166, 309, 1533, 3763, 13328, 933, 34603, 47568, 21, 16, 24, 3763, 13, 289, 5943, 451, 6116, 21704, 282, 35361, 1212, 40745, 18, 365, 2327, 435, 282, 1119, 17581, 7614, 802, 11815, 21680, 2155, 19683, 3873, 8053, 18, 4756, 35361, 2127, 21901, 2422, 11451, 7153, 4375, 6170, 12554, 18249, 411, 1888, 2044, 18, 996, 16, 722, 18661, 28279, 1623, 34746, 4944, 20838, 4929, 478, 431, 20312, 25743, 8156, 14606, 1901, 23368, 2422, 1251, 5578, 289, 10904, 6731, 13375, 477, 20232, 3021, 16527, 289, 37569, 43032, 47034, 12798, 14753, 470, 289, 3806, 324, 377, 41275, 2312, 12995, 4328, 415, 409, 7960, 16, 1977, 291, 16559, 281, 6447, 354, 3394, 4019, 282, 24274, 680, 5306, 18, 7042, 18799, 6170, 440, 2895, 548, 1038, 3929, 284, 27599, 3334, 18661, 264, 2389, 282, 1888, 16061, 4678, 30, 29884, 21152, 778, 1624, 3720, 47800, 268, 1624, 9715, 44166, 29237, 898, 16844, 1007, 11898, 334, 14908, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9805, 26834, 8874, 3560, 27871, 2110, 6793, 15449, 377, 13104, 40935, 13786, 478, 277, 2707, 4271, 8920, 10616, 439, 331, 315, 399, 1465, 510, 24625, 3589, 289, 8866, 539, 42524, 334, 7546, 21880, 16, 1354, 289, 1223, 2900, 281, 22660, 2549, 49487, 9192, 289, 768, 1083, 3076, 304, 5002, 2445, 304, 18, 2052, 315, 283, 266, 427, 13487, 726, 281, 32188, 11074, 651, 20295, 39205, 16, 374, 505, 12030, 5313, 9480, 478, 277, 2707, 24450, 1717, 477, 1718, 1941, 16, 12168 ]
[ 16534, 18, 31224, 30, 1140, 45998, 473, 768, 1083, 3076, 5002, 2445, 6778, 35118, 9350, 510, 1745, 322, 3845, 484, 7969, 8385, 18, 832, 15715, 537, 850, 462, 1940, 448, 48886, 349, 16490, 16, 537, 5590, 473, 22660, 2549, 49487, 9192, 17014, 4922, 45220, 3708, 1715, 475, 808, 16381, 2865, 28140, 323, 16, 4514, 47493, 282, 4884, 2100, 914, 473, 30323, 45287, 1450, 2865, 40339, 20880, 282, 28878, 294, 42613, 934, 24636, 25356, 289, 939, 3957, 12879, 649, 7227, 670, 1830, 373, 50055, 1380, 18, 2320, 475, 481, 16, 9121, 16, 939, 44841, 510, 289, 453, 322, 3845, 484, 16, 453, 764, 289, 26320, 322, 9095, 18, 42867, 6345, 6295, 371, 18995, 7280, 1763, 402, 1081, 282, 914, 1320, 48866, 434, 2044, 837, 473, 7009, 8474, 4807, 25408, 1029, 41022, 341, 11814, 289, 17650, 349, 1807, 10968, 16, 1949, 20646, 289, 19588, 23966, 333, 16, 367, 1038, 11447, 341, 17, 2767, 4090, 2803, 360, 35578, 289, 24451, 44266, 2009, 12142, 18, 385, 413, 4231, 481, 16, 9705, 16, 7012, 322, 24859, 16, 290, 828, 942, 25802, 16, 14517, 16, 374, 309, 2865, 289, 14520, 1642, 502, 289, 1743, 396, 2088, 467, 5262, 1936, 19333, 31893, 6101, 18, 8985, 6793, 8920, 10616, 439, 331, 315, 399, 1465, 473, 30323, 39205, 309, 4279, 750, 11074, 281, 12168, 16534, 13, 8874, 282, 26834, 1833, 1011, 15449, 377, 13104, 17914, 18, 889, 19647, 2234, 23452, 1742, 1907, 510, 3545, 764, 322, 1064, 4191, 360, 4224, 390, 2466, 29236, 23036, 16, 21669, 289, 7101, 1608, 25015, 2632, 16, 3067, 5132, 10526, 282, 970, 16, 374, 16, 8647, 16, 2963, 2023, 5184, 18, 7743, 481, 16, 9121, 16, 45283, 539, 289, 935, 6377, 539, 510, 20295, 939, 12453, 28096, 16285, 282, 1634, 9506, 432, 43083, 6585, 749, 497, 323, 14982, 18, 1483, 357, 807, 1965, 322, 3113, 549, 16, 3387, 35467, 2301, 8866, 617, 478, 277, 19678, 4271, 9452, 1717, 282, 970, 16, 753, 1033, 670, 2619, 1329, 322, 3751, 16, 374, 1122, 3621, 289, 294, 5414, 12419, 3213, 439, 331, 315, 399, 1465, 18, 17878, 28964, 16, 9705, 16, 3147, 9342, 16393, 18, 365, 1949, 413, 9642, 21917, 547, 40621, 8920, 987, 45402, 3473, 408, 1558, 42524, 334, 1514, 8252, 3276, 7546, 510, 360, 13009, 2422, 289, 3915, 5839, 519, 9047, 4109, 282, 16651, 2968, 289, 10355, 33726, 281, 32171, 18, 439, 331, 315, 399, 1465, 10662, 16, 374, 6463, 21113, 8621, 1223, 349, 2852, 2868, 18, 459, 1542, 23958, 783, 510, 3895, 520, 322, 3240, 45824, 289, 20023, 5552, 16, 374, 912, 282, 12884, 18, 9993, 16, 3215, 28363, 19034, 1479, 6180, 17165, 16, 16188, 1639, 12530, 15976, 23360, 9153, 1519, 473, 925, 2618, 17789, 13, 281, 5930, 15224, 334, 7546, 12222, 346, 750, 289, 3563, 19568, 2833, 18, 1787, 924, 16, 753, 2438, 16567, 16, 1381, 10229, 16, 374, 282, 44617, 12884, 8121, 510, 28770, 1212, 20151, 582, 478, 682, 323, 470, 510, 46677, 5465, 307, 23156, 4652, 428, 26041, 448, 16485, 318, 17, 2817, 548, 411, 478, 45907, 285, 23915, 44489, 470, 33001, 4468, 3646, 853, 18, 439, 331, 315, 399, 1465, 2141, 322, 3350, 572, 473, 4743, 406, 16, 6709, 16, 583, 965, 5273, 934, 367, 3229, 1223, 510, 3731, 265, 356, 320, 18, 8859, 282, 803, 3106, 282, 16651, 836, 312, 2042, 1212, 49344, 14347, 329, 1047, 2826, 2500, 22428, 18, 4185, 3670, 16, 1851, 8866, 20515, 505, 3655, 6793, 16, 1513, 6348, 473, 44969, 481, 289, 25019, 13, 17837, 39406, 1949, 505, 6623, 510, 478, 15164, 434, 42376, 274, 470, 289, 478, 1182, 356, 10542, 861, 9873, 6528, 20494, 16, 20295, 475, 453, 575, 35268, 18648, 294, 8998, 3063, 16, 492, 29833, 29279, 1812, 282, 2641, 289, 3555, 22660, 2549, 49487, 9192, 16, 282, 6567, 298, 808, 360, 1612, 31521, 374, 17, 1796, 4085, 12451, 289, 32157, 16, 6476, 294, 9747, 2616, 17, 299, 23002, 530, 18, 1303, 481, 31559, 8471, 3215, 12960, 16, 515, 282, 502, 575, 808, 439, 331, 315, 399, 1465, 38485, 30260, 867, 16, 374, 322, 17973, 5726, 537, 309, 374, 45234, 473, 275, 6588, 360, 18309, 507, 4328, 7075, 665, 1624, 281, 3279, 505, 282, 870, 4701, 2669, 13962, 1166, 814, 365, 10209, 16, 6332, 520, 1337, 282, 1354, 478, 277, 2707, 4271, 942, 8940, 16, 27757, 309, 294, 341, 390, 2451, 334, 1318, 281, 49487, 9192, 16, 387, 44541, 411, 5636, 15400, 3978, 18, 1178, 1078, 31850, 16, 502, 1304, 8232, 2361, 411, 3322, 5108, 2466, 6632, 21517, 675, 9174, 779, 18, 2787, 16, 374, 1336, 25861, 567, 2992, 11053, 16, 4011, 373, 1033, 17, 25249, 11450, 10934, 1484, 439, 14845, 31709, 37457, 473, 925, 16, 428, 6029, 16, 28607, 8735, 9001, 16542, 10788, 478, 11844, 3126, 914, 12235, 515, 309, 2463, 1745, 825, 33354, 272, 322, 49137, 18, 832, 2824, 10647, 20295, 726, 15545, 4615, 282, 2537, 7001, 553, 478, 15164, 434, 42376, 274, 470, 510, 2838, 289, 322, 282, 4884, 40537, 18, 2046, 16, 428, 289, 1122, 16, 7265, 23202, 1195, 6625, 4062, 1336, 10191, 322, 41773, 839, 5556, 30098, 16, 367, 7770, 7157, 448, 289, 18074, 1936, 9815, 290, 21311, 3769, 409, 289, 30517, 7541, 18, 459, 16, 4213, 16, 6548, 5042, 16, 1029, 942, 2048, 411, 978, 322, 939, 1872, 434, 16, 515, 34327, 8866, 434, 8621, 510, 4302, 40293, 282, 1335, 1767, 322, 5092, 18, 3428, 16, 428, 3153, 2107, 21968, 42818, 1558, 1244, 22501, 16, 31677, 322, 40193, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 412, 320, 742, 18164, 14118, 334, 430, 19, 28, 21451, 16180, 17793, 478, 44563, 470, 16536, 364, 478, 1605, 436, 4920, 303, 470, 282, 4016, 28220, 7561, 11254, 18, 13564, 1080, 329, 26039, 6992, 1275, 2581, 811, 11537, 267, 576, 459, 44713, 375, 18, 31224, 30, 780, 1117, 6992, 778, 478, 44563, 470, 428, 2002, 28687, 294, 2222, 16, 753, 44984, 3437, 34600, 4497, 297, 17858, 1433, 478, 39227, 318, 470, 282, 12013, 11254, 18, 478, 563, 2591, 2497, 470, 4247, 6920, 6945, 19802, 334, 6432, 1876, 1195, 7265, 7739, 2409, 7426, 986, 18, 740, 12080, 5170, 21166, 3328, 1258, 18895, 1192, 46060, 957, 322, 2353, 16, 10911, 356, 873, 453, 1139, 16607, 322, 5844, 3461, 18, 1397, 745, 289, 49587, 282, 16876, 8267, 18, 14097, 274, 749, 2151, 356, 831, 49392, 289, 282, 24163, 1207, 334, 8954, 5790, 16, 478, 15383, 507, 470, 475, 3066, 45074, 9764 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16534, 18, 31224, 30, 1140, 45998, 473, 768, 1083, 3076, 5002, 2445, 6778, 35118, 9350, 510, 1745, 322, 3845, 484, 7969, 8385, 18, 832, 15715, 537, 850, 462, 1940, 448, 48886, 349, 16490, 16, 537, 5590, 473, 22660, 2549, 49487, 9192, 17014, 4922, 45220, 3708, 1715, 475, 808, 16381, 2865, 28140, 323, 16, 4514, 47493, 282, 4884, 2100, 914, 473, 30323, 45287, 1450, 2865, 40339, 20880, 282, 28878, 294, 42613, 934, 24636, 25356, 289, 939, 3957, 12879, 649, 7227, 670, 1830, 373, 50055, 1380, 18, 2320, 475, 481, 16, 9121, 16, 939, 44841, 510, 289, 453, 322, 3845, 484, 16, 453, 764, 289, 26320, 322, 9095, 18, 42867, 6345, 6295, 371, 18995, 7280, 1763, 402, 1081, 282, 914, 1320, 48866, 434, 2044, 837, 473, 7009, 8474, 4807, 25408, 1029, 41022, 341, 11814, 289, 17650, 349, 1807, 10968, 16, 1949, 20646, 289, 19588, 23966, 333, 16, 367, 1038, 11447, 341, 17, 2767, 4090, 2803, 360, 35578, 289, 24451, 44266, 2009, 12142, 18, 385, 413, 4231, 481, 16, 9705, 16, 7012, 322, 24859, 16, 290, 828, 942, 25802, 16, 14517, 16, 374, 309, 2865, 289, 14520, 1642, 502, 289, 1743, 396, 2088, 467, 5262, 1936, 19333, 31893, 6101, 18, 8985, 6793, 8920, 10616, 439, 331, 315, 399, 1465, 473, 30323, 39205, 309, 4279, 750, 11074, 281, 12168, 16534, 13, 8874, 282, 26834, 1833, 1011, 15449, 377, 13104, 17914, 18, 889, 19647, 2234, 23452, 1742, 1907, 510, 3545, 764, 322, 1064, 4191, 360, 4224, 390, 2466, 29236, 23036, 16, 21669, 289, 7101, 1608, 25015, 2632, 16, 3067, 5132, 10526, 282, 970, 16, 374, 16, 8647, 16, 2963, 2023, 5184, 18, 7743, 481, 16, 9121, 16, 45283, 539, 289, 935, 6377, 539, 510, 20295, 939, 12453, 28096, 16285, 282, 1634, 9506, 432, 43083, 6585, 749, 497, 323, 14982, 18, 1483, 357, 807, 1965, 322, 3113, 549, 16, 3387, 35467, 2301, 8866, 617, 478, 277, 19678, 4271, 9452, 1717, 282, 970, 16, 753, 1033, 670, 2619, 1329, 322, 3751, 16, 374, 1122, 3621, 289, 294, 5414, 12419, 3213, 439, 331, 315, 399, 1465, 18, 17878, 28964, 16, 9705, 16, 3147, 9342, 16393, 18, 365, 1949, 413, 9642, 21917, 547, 40621, 8920, 987, 45402, 3473, 408, 1558, 42524, 334, 1514, 8252, 3276, 7546, 510, 360, 13009, 2422, 289, 3915, 5839, 519, 9047, 4109, 282, 16651, 2968, 289, 10355, 33726, 281, 32171, 18, 439, 331, 315, 399, 1465, 10662, 16, 374, 6463, 21113, 8621, 1223, 349, 2852, 2868, 18, 459, 1542, 23958, 783, 510, 3895, 520, 322, 3240, 45824, 289, 20023, 5552, 16, 374, 912, 282, 12884, 18, 9993, 16, 3215, 28363, 19034, 1479, 6180, 17165, 16, 16188, 1639, 12530, 15976, 23360, 9153, 1519, 473, 925, 2618, 17789, 13, 281, 5930, 15224, 334, 7546, 12222, 346, 750, 289, 3563, 19568, 2833, 18, 1787, 924, 16, 753, 2438, 16567, 16, 1381, 10229, 16, 374, 282, 44617, 12884, 8121, 510, 28770, 1212, 20151, 582, 478, 682, 323, 470, 510, 46677, 5465, 307, 23156, 4652, 428, 26041, 448, 16485, 318, 17, 2817, 548, 411, 478, 45907, 285, 23915, 44489, 470, 33001, 4468, 3646, 853, 18, 439, 331, 315, 399, 1465, 2141, 322, 3350, 572, 473, 4743, 406, 16, 6709, 16, 583, 965, 5273, 934, 367, 3229, 1223, 510, 3731, 265, 356, 320, 18, 8859, 282, 803, 3106, 282, 16651, 836, 312, 2042, 1212, 49344, 14347, 329, 1047, 2826, 2500, 22428, 18, 4185, 3670, 16, 1851, 8866, 20515, 505, 3655, 6793, 16, 1513, 6348, 473, 44969, 481, 289, 25019, 13, 17837, 39406, 1949, 505, 6623, 510, 478, 15164, 434, 42376, 274, 470, 289, 478, 1182, 356, 10542, 861, 9873, 6528, 20494, 16, 20295, 475, 453, 575, 35268, 18648, 294, 8998, 3063, 16, 492, 29833, 29279, 1812, 282, 2641, 289, 3555, 22660, 2549, 49487, 9192, 16, 282, 6567, 298, 808, 360, 1612, 31521, 374, 17, 1796, 4085, 12451, 289, 32157, 16, 6476, 294, 9747, 2616, 17, 299, 23002, 530, 18, 1303, 481, 31559, 8471, 3215, 12960, 16, 515, 282, 502, 575, 808, 439, 331, 315, 399, 1465, 38485, 30260, 867, 16, 374, 322, 17973, 5726, 537, 309, 374, 45234, 473, 275, 6588, 360, 18309, 507, 4328, 7075, 665, 1624, 281, 3279, 505, 282, 870, 4701, 2669, 13962, 1166, 814, 365, 10209, 16, 6332, 520, 1337, 282, 1354, 478, 277, 2707, 4271, 942, 8940, 16, 27757, 309, 294, 341, 390, 2451, 334, 1318, 281, 49487, 9192, 16, 387, 44541, 411, 5636, 15400, 3978, 18, 1178, 1078, 31850, 16, 502, 1304, 8232, 2361, 411, 3322, 5108, 2466, 6632, 21517, 675, 9174, 779, 18, 2787, 16, 374, 1336, 25861, 567, 2992, 11053, 16, 4011, 373, 1033, 17, 25249, 11450, 10934, 1484, 439, 14845, 31709, 37457, 473, 925, 16, 428, 6029, 16, 28607, 8735, 9001, 16542, 10788, 478, 11844, 3126, 914, 12235, 515, 309, 2463, 1745, 825, 33354, 272, 322, 49137, 18, 832, 2824, 10647, 20295, 726, 15545, 4615, 282, 2537, 7001, 553, 478, 15164, 434, 42376, 274, 470, 510, 2838, 289, 322, 282, 4884, 40537, 18, 2046, 16, 428, 289, 1122, 16, 7265, 23202, 1195, 6625, 4062, 1336, 10191, 322, 41773, 839, 5556, 30098, 16, 367, 7770, 7157, 448, 289, 18074, 1936, 9815, 290, 21311, 3769, 409, 289, 30517, 7541, 18, 459, 16, 4213, 16, 6548, 5042, 16, 1029, 942, 2048, 411, 978, 322, 939, 1872, 434, 16, 515, 34327, 8866, 434, 8621, 510, 4302, 40293, 282, 1335, 1767, 322, 5092, 18, 3428, 16, 428, 3153, 2107, 21968, 42818, 1558, 1244, 22501, 16, 31677, 322, 40193, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 412, 320, 742, 18164, 14118, 334, 430, 19, 28, 21451, 16180, 17793, 478, 44563, 470, 16536, 364, 478, 1605, 436, 4920, 303, 470, 282, 4016, 28220, 7561, 11254, 18, 13564, 1080, 329, 26039, 6992, 1275, 2581, 811, 11537, 267, 576, 459, 44713, 375, 18, 31224, 30, 780, 1117, 6992, 778, 478, 44563, 470, 428, 2002, 28687, 294, 2222, 16, 753, 44984, 3437, 34600, 4497, 297, 17858, 1433, 478, 39227, 318, 470, 282, 12013, 11254, 18, 478, 563, 2591, 2497, 470, 4247, 6920, 6945, 19802, 334, 6432, 1876, 1195, 7265, 7739, 2409, 7426, 986, 18, 740, 12080, 5170, 21166, 3328, 1258, 18895, 1192, 46060, 957, 322, 2353, 16, 10911, 356, 873, 453, 1139, 16607, 322, 5844, 3461, 18, 1397, 745, 289, 49587, 282, 16876, 8267, 18, 14097, 274, 749, 2151, 356, 831, 49392, 289, 282, 24163, 1207, 334, 8954, 5790, 16, 478, 15383, 507, 470, 475, 3066, 45074, 9764 ]
[ 1195, 478, 563, 11415, 1520, 3924, 861, 7249, 309, 1561, 3589, 18804, 4966, 16, 14450, 290, 38508, 32684, 1192, 46060, 957, 16, 961, 7134, 282, 3998, 779, 16, 322, 38214, 890, 467, 18, 640, 17032, 16278, 297, 37899, 28584, 300, 282, 15243, 16, 374, 18749, 6402, 8684, 47886, 1437, 334, 5083, 25594, 12068, 17799, 18, 365, 11084, 478, 36796, 910, 3210, 17, 2767, 16, 23571, 709, 281, 6288, 365, 15044, 301, 17, 20181, 264, 2529, 1624, 367, 14917, 28374, 1192, 46060, 957, 309, 33327, 3359, 3766, 818, 356, 3147, 3207, 31240, 16, 374, 12987, 24568, 282, 29695, 309, 9744, 281, 478, 1394, 2541, 287, 2389, 861, 2263, 575, 16278, 297, 37899, 322, 1559, 33100, 5559, 1188, 42176, 18, 478, 1358, 322, 14105, 10919, 2710, 17, 3697, 17658, 16, 34688, 3212, 14055, 1354, 16, 376, 7332, 23060, 18, 3758, 1694, 1192, 46060, 957, 18, 376, 1937, 1085, 17, 299, 411, 478, 8706, 455, 470, 37467, 13927, 6992, 16, 492, 13349, 3576, 381, 803, 3216, 539, 9770, 18, 740, 25796, 374, 17, 3697, 3111, 334, 2856, 5083, 417, 322, 3478, 18, 6422, 16, 282, 10666, 417, 3226, 329, 4156, 861, 478, 44563, 470, 334, 10825, 2780, 7556, 18, 459, 44713, 375, 3619, 11216, 309, 12233, 16208, 1484, 16, 1011, 1660, 25165, 396, 15796, 309, 768, 1383, 344, 16, 1029, 4745, 19230, 364, 15702, 282, 25803, 6421, 7889, 18, 5181, 16, 17771, 269, 733, 11096, 7889, 47727, 16, 10750, 13850, 6404, 11178, 280, 18, 478, 1605, 436, 4920, 303, 470, 2715, 322, 34795, 1793, 966, 17192, 282, 17979, 5987, 1394, 343, 18, 365, 5271, 26039, 6992, 1275, 2820, 2733, 575, 22412, 2581, 811, 43606, 554, 18, 31057, 662, 478, 8706, 455, 470, 322, 34157, 6528, 18, 4800, 34544, 478, 1605, 436, 4920, 1869, 470, 36462, 16480, 309, 20228, 16, 9579, 275, 11216, 459, 44713, 888, 1624, 367, 1215, 281, 17192, 40524, 1520, 613, 47487, 28291, 47650, 18, 439, 1011, 15014, 45468, 18, 45007, 297, 611, 23077, 329, 1360, 36725, 16, 15702, 45287, 21916, 26276, 16, 1029, 360, 513, 1015, 300, 309, 459, 44713, 884, 16, 1500, 16, 282, 1423, 3678, 16, 19230, 364, 11216, 43606, 554, 16, 367, 16278, 297, 37899, 10271, 5077, 8999, 749, 23296, 18, 9967, 26039, 37769, 2401, 9528, 3424, 18, 21916, 364, 25165, 33583, 282, 10556, 668, 768, 1383, 344, 16, 1029, 309, 9456, 16, 322, 19320, 313, 6686, 281, 5512, 2985, 3317, 16, 14070, 11216, 282, 25803, 6421, 7889, 18, 365, 3453, 5462, 582, 3298, 429, 16960, 2083, 1300, 350, 303, 459, 44713, 375, 18, 24855, 6147, 3619, 9871, 309, 1907, 289, 37103, 282, 13757, 883, 6421, 16, 515, 7757, 2820, 282, 31405, 696, 306, 18, 439, 1215, 309, 46144, 6740, 3298, 429, 39914, 7646, 37698, 322, 1559, 16, 38339, 3012, 2607, 985, 264, 289, 7926, 743, 25803, 6421, 7889, 18, 43606, 554, 757, 20533, 8440, 526, 16, 515, 37103, 2770, 11773, 331, 3214, 16, 289, 31405, 27313, 17019, 45408, 1475, 18, 9570, 17363, 985, 264, 18, 15422, 364, 1577, 38727, 11216, 329, 28065, 6456, 1762, 3430, 680, 289, 1702, 405, 301, 8328, 360, 33973, 607, 14070, 505, 282, 11902, 454, 18, 27498, 364, 11949, 468, 459, 44713, 375, 18, 985, 264, 50253, 28253, 289, 396, 881, 9572, 282, 10556, 668, 16, 4723, 1187, 22724, 6147, 281, 3700, 38688, 921, 6964, 32023, 282, 3835, 564, 282, 317, 1501, 11216, 424, 34874, 888, 18, 16577, 5728, 492, 575, 757, 41701, 289, 27596, 11216, 16, 515, 281, 1371, 323, 416, 6688, 37103, 282, 8850, 774, 34544, 272, 18, 439, 726, 282, 2456, 2343, 9155, 757, 2401, 5873, 1192, 37486, 16, 687, 1215, 31405, 27313, 685, 1279, 978, 16, 11453, 6016, 1423, 8616, 18, 1061, 30, 20, 510, 31239, 30495, 16410, 478, 8706, 455, 861, 1268, 2736, 360, 478, 15383, 1013, 470, 282, 44200, 26083, 1858, 1559, 18510, 1533, 6432, 1876, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 44563, 470, 510, 478, 1605, 436, 4920, 303, 861, 11333, 7036, 21723, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 11254, 18, 2, 1, 87, 1456, 81, 2448, 30, 33121, 48072, 1068, 2815, 16, 374, 975, 322, 639, 7748, 16, 785, 42215, 478, 28345, 470, 20908, 48448, 309, 5606, 44345, 7977, 1279, 478, 2997, 925, 318, 861, 4800, 34544, 1038, 13749, 16, 374, 14658, 282, 40259, 6238, 336, 707, 18, 7485, 2895, 4048, 607, 488, 477, 1360, 1963, 4725, 16, 374, 10647, 282, 505, 24087, 36766, 4243, 4424, 18, 8615, 1020, 5692, 16, 2006, 975, 639, 4748, 519, 4404, 319, 1177, 10133, 519, 3915, 18, 31224, 30, 21837, 34544, 18164, 478, 28345, 470, 4944, 48072, 1068, 2715, 309, 3586, 7620, 5792, 1011, 9764, 1195, 1694, 19219, 478, 2997, 925, 416, 470, 282, 16876, 8267, 40406, 16423, 16180, 17793, 18, 510, 1397, 1143, 9271, 6000, 1011, 7977, 651, 3253, 2117, 670, 502, 16, 374, 11730, 309, 19424, 404, 25467, 478, 28345, 470, 282, 3998, 7977, 35, 510, 629, 726, 9096, 16, 374, 639, 282, 3998, 4183, 3298, 429, 18, 510, 3654, 1655, 1003, 10037, 360, 9764, 309, 11104, 5503, 35, 510, 889, 3754, 16, 33635, 15386, 282, 2630, 281, 25771, 322, 939, 1269, 18, 510, 3492, 14658, 282, 40259, 6238, 2560, 390, 35, 510, 11349, 14702, 18051, 282, 803, 16, 8507, 16, 912, 18, 2326, 16800, 8714, 334, 4096, 16, 3189, 16, 374, 519, 32657, 322, 23752, 607, 9854, 16, 6274, 12497, 319, 475, 22627, 16, 515, 322, 11980, 978, 2048, 18, 510, 1937, 282, 5572, 44056, 13487, 48448, 309, 19424, 404, 16, 502, 387, 49686, 31661, 360, 7889, 11735, 18, 24499, 2410, 8233, 35, 510, 5005, 281, 20211, 39534, 19818, 3345, 7795, 18, 629, 575, 322, 5829, 6381, 16, 374, 3621, 16, 26610, 520, 282, 703, 374, 17, 299, 670, 1003, 18, 2876, 289, 4223, 282, 4577, 11735, 18, 510, 439, 7748, 282, 1500, 2083, 322, 639, 35, 510, 2387, 16, 7748, 322, 639, 18, 31818, 1215, 11735, 703, 7777, 510, 6709, 16, 541, 1047, 639, 2410, 8233, 18, 510, 1012, 1974, 281, 4778, 10099, 5364, 35691, 294, 19424, 404, 16, 10073, 22415, 25467, 18, 889, 24065, 35, 510, 8019, 16, 30321, 6191, 16, 445, 1011, 924, 16, 428, 656, 16581, 16, 726, 1329, 322, 15478, 1166, 18, 510, 985, 4609, 464, 4722, 10133, 282, 11258, 35, 510, 1278, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1195, 478, 563, 11415, 1520, 3924, 861, 7249, 309, 1561, 3589, 18804, 4966, 16, 14450, 290, 38508, 32684, 1192, 46060, 957, 16, 961, 7134, 282, 3998, 779, 16, 322, 38214, 890, 467, 18, 640, 17032, 16278, 297, 37899, 28584, 300, 282, 15243, 16, 374, 18749, 6402, 8684, 47886, 1437, 334, 5083, 25594, 12068, 17799, 18, 365, 11084, 478, 36796, 910, 3210, 17, 2767, 16, 23571, 709, 281, 6288, 365, 15044, 301, 17, 20181, 264, 2529, 1624, 367, 14917, 28374, 1192, 46060, 957, 309, 33327, 3359, 3766, 818, 356, 3147, 3207, 31240, 16, 374, 12987, 24568, 282, 29695, 309, 9744, 281, 478, 1394, 2541, 287, 2389, 861, 2263, 575, 16278, 297, 37899, 322, 1559, 33100, 5559, 1188, 42176, 18, 478, 1358, 322, 14105, 10919, 2710, 17, 3697, 17658, 16, 34688, 3212, 14055, 1354, 16, 376, 7332, 23060, 18, 3758, 1694, 1192, 46060, 957, 18, 376, 1937, 1085, 17, 299, 411, 478, 8706, 455, 470, 37467, 13927, 6992, 16, 492, 13349, 3576, 381, 803, 3216, 539, 9770, 18, 740, 25796, 374, 17, 3697, 3111, 334, 2856, 5083, 417, 322, 3478, 18, 6422, 16, 282, 10666, 417, 3226, 329, 4156, 861, 478, 44563, 470, 334, 10825, 2780, 7556, 18, 459, 44713, 375, 3619, 11216, 309, 12233, 16208, 1484, 16, 1011, 1660, 25165, 396, 15796, 309, 768, 1383, 344, 16, 1029, 4745, 19230, 364, 15702, 282, 25803, 6421, 7889, 18, 5181, 16, 17771, 269, 733, 11096, 7889, 47727, 16, 10750, 13850, 6404, 11178, 280, 18, 478, 1605, 436, 4920, 303, 470, 2715, 322, 34795, 1793, 966, 17192, 282, 17979, 5987, 1394, 343, 18, 365, 5271, 26039, 6992, 1275, 2820, 2733, 575, 22412, 2581, 811, 43606, 554, 18, 31057, 662, 478, 8706, 455, 470, 322, 34157, 6528, 18, 4800, 34544, 478, 1605, 436, 4920, 1869, 470, 36462, 16480, 309, 20228, 16, 9579, 275, 11216, 459, 44713, 888, 1624, 367, 1215, 281, 17192, 40524, 1520, 613, 47487, 28291, 47650, 18, 439, 1011, 15014, 45468, 18, 45007, 297, 611, 23077, 329, 1360, 36725, 16, 15702, 45287, 21916, 26276, 16, 1029, 360, 513, 1015, 300, 309, 459, 44713, 884, 16, 1500, 16, 282, 1423, 3678, 16, 19230, 364, 11216, 43606, 554, 16, 367, 16278, 297, 37899, 10271, 5077, 8999, 749, 23296, 18, 9967, 26039, 37769, 2401, 9528, 3424, 18, 21916, 364, 25165, 33583, 282, 10556, 668, 768, 1383, 344, 16, 1029, 309, 9456, 16, 322, 19320, 313, 6686, 281, 5512, 2985, 3317, 16, 14070, 11216, 282, 25803, 6421, 7889, 18, 365, 3453, 5462, 582, 3298, 429, 16960, 2083, 1300, 350, 303, 459, 44713, 375, 18, 24855, 6147, 3619, 9871, 309, 1907, 289, 37103, 282, 13757, 883, 6421, 16, 515, 7757, 2820, 282, 31405, 696, 306, 18, 439, 1215, 309, 46144, 6740, 3298, 429, 39914, 7646, 37698, 322, 1559, 16, 38339, 3012, 2607, 985, 264, 289, 7926, 743, 25803, 6421, 7889, 18, 43606, 554, 757, 20533, 8440, 526, 16, 515, 37103, 2770, 11773, 331, 3214, 16, 289, 31405, 27313, 17019, 45408, 1475, 18, 9570, 17363, 985, 264, 18, 15422, 364, 1577, 38727, 11216, 329, 28065, 6456, 1762, 3430, 680, 289, 1702, 405, 301, 8328, 360, 33973, 607, 14070, 505, 282, 11902, 454, 18, 27498, 364, 11949, 468, 459, 44713, 375, 18, 985, 264, 50253, 28253, 289, 396, 881, 9572, 282, 10556, 668, 16, 4723, 1187, 22724, 6147, 281, 3700, 38688, 921, 6964, 32023, 282, 3835, 564, 282, 317, 1501, 11216, 424, 34874, 888, 18, 16577, 5728, 492, 575, 757, 41701, 289, 27596, 11216, 16, 515, 281, 1371, 323, 416, 6688, 37103, 282, 8850, 774, 34544, 272, 18, 439, 726, 282, 2456, 2343, 9155, 757, 2401, 5873, 1192, 37486, 16, 687, 1215, 31405, 27313, 685, 1279, 978, 16, 11453, 6016, 1423, 8616, 18, 1061, 30, 20, 510, 31239, 30495, 16410, 478, 8706, 455, 861, 1268, 2736, 360, 478, 15383, 1013, 470, 282, 44200, 26083, 1858, 1559, 18510, 1533, 6432, 1876, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 44563, 470, 510, 478, 1605, 436, 4920, 303, 861, 11333, 7036, 21723, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 11254, 18, 2, 1, 87, 1456, 81, 2448, 30, 33121, 48072, 1068, 2815, 16, 374, 975, 322, 639, 7748, 16, 785, 42215, 478, 28345, 470, 20908, 48448, 309, 5606, 44345, 7977, 1279, 478, 2997, 925, 318, 861, 4800, 34544, 1038, 13749, 16, 374, 14658, 282, 40259, 6238, 336, 707, 18, 7485, 2895, 4048, 607, 488, 477, 1360, 1963, 4725, 16, 374, 10647, 282, 505, 24087, 36766, 4243, 4424, 18, 8615, 1020, 5692, 16, 2006, 975, 639, 4748, 519, 4404, 319, 1177, 10133, 519, 3915, 18, 31224, 30, 21837, 34544, 18164, 478, 28345, 470, 4944, 48072, 1068, 2715, 309, 3586, 7620, 5792, 1011, 9764, 1195, 1694, 19219, 478, 2997, 925, 416, 470, 282, 16876, 8267, 40406, 16423, 16180, 17793, 18, 510, 1397, 1143, 9271, 6000, 1011, 7977, 651, 3253, 2117, 670, 502, 16, 374, 11730, 309, 19424, 404, 25467, 478, 28345, 470, 282, 3998, 7977, 35, 510, 629, 726, 9096, 16, 374, 639, 282, 3998, 4183, 3298, 429, 18, 510, 3654, 1655, 1003, 10037, 360, 9764, 309, 11104, 5503, 35, 510, 889, 3754, 16, 33635, 15386, 282, 2630, 281, 25771, 322, 939, 1269, 18, 510, 3492, 14658, 282, 40259, 6238, 2560, 390, 35, 510, 11349, 14702, 18051, 282, 803, 16, 8507, 16, 912, 18, 2326, 16800, 8714, 334, 4096, 16, 3189, 16, 374, 519, 32657, 322, 23752, 607, 9854, 16, 6274, 12497, 319, 475, 22627, 16, 515, 322, 11980, 978, 2048, 18, 510, 1937, 282, 5572, 44056, 13487, 48448, 309, 19424, 404, 16, 502, 387, 49686, 31661, 360, 7889, 11735, 18, 24499, 2410, 8233, 35, 510, 5005, 281, 20211, 39534, 19818, 3345, 7795, 18, 629, 575, 322, 5829, 6381, 16, 374, 3621, 16, 26610, 520, 282, 703, 374, 17, 299, 670, 1003, 18, 2876, 289, 4223, 282, 4577, 11735, 18, 510, 439, 7748, 282, 1500, 2083, 322, 639, 35, 510, 2387, 16, 7748, 322, 639, 18, 31818, 1215, 11735, 703, 7777, 510, 6709, 16, 541, 1047, 639, 2410, 8233, 18, 510, 1012, 1974, 281, 4778, 10099, 5364, 35691, 294, 19424, 404, 16, 10073, 22415, 25467, 18, 889, 24065, 35, 510, 8019, 16, 30321, 6191, 16, 445, 1011, 924, 16, 428, 656, 16581, 16, 726, 1329, 322, 15478, 1166, 18, 510, 985, 4609, 464, 4722, 10133, 282, 11258, 35, 510, 1278, 268 ]
[ 17148, 12377, 19831, 360, 8508, 7977, 18, 510, 2877, 726, 912, 8206, 16, 374, 475, 26070, 6280, 318, 289, 9518, 1568, 928, 35, 11331, 510, 3397, 581, 18, 7500, 11116, 1011, 5251, 2009, 2595, 11287, 18, 7599, 6047, 778, 39207, 478, 28345, 470, 7485, 2895, 4048, 607, 488, 2715, 309, 3586, 48414, 1321, 478, 32485, 18, 8381, 861, 510, 9398, 18058, 6933, 360, 8508, 7977, 282, 38396, 17793, 289, 282, 11258, 35, 510, 385, 2059, 1963, 16, 656, 34447, 16, 8074, 326, 10384, 12994, 282, 1360, 8933, 16, 374, 322, 453, 1588, 289, 4702, 18, 385, 2107, 1963, 16, 656, 322, 21648, 13898, 11464, 1756, 16, 581, 4587, 1299, 2990, 15092, 2159, 18804, 282, 38396, 17793, 18, 459, 481, 726, 5992, 18, 510, 1397, 387, 11655, 290, 1110, 25694, 1165, 16, 374, 20908, 42215, 282, 3998, 7977, 35, 510, 889, 282, 2615, 445, 282, 3212, 24087, 16, 785, 2874, 42215, 16, 1494, 453, 3525, 4425, 10307, 8616, 16, 20908, 10647, 18, 510, 1012, 5428, 16, 374, 9402, 39900, 2438, 11910, 2320, 287, 27359, 6992, 401, 282, 3507, 35, 510, 2387, 16, 978, 417, 322, 2946, 18, 510, 24127, 262, 4060, 2284, 3525, 21519, 435, 309, 1907, 7977, 35, 510, 2387, 16, 417, 453, 322, 3684, 18, 1345, 2125, 898, 519, 4404, 319, 10133, 2332, 1110, 3338, 25467, 16, 1085, 35233, 1617, 2764, 289, 9665, 282, 36435, 392, 16, 753, 5298, 309, 1423, 8616, 18, 510, 3654, 453, 6392, 22474, 7193, 282, 5572, 44056, 35, 510, 1937, 1251, 4089, 289, 34414, 6535, 3716, 475, 42222, 21755, 16, 687, 289, 1716, 1733, 381, 25152, 16, 7339, 20166, 14264, 5862, 5514, 4990, 12544, 18, 2876, 417, 6317, 16, 374, 1299, 475, 575, 3225, 20850, 1800, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 2997, 925, 324, 470, 510, 478, 13467, 861, 6019, 16, 7005, 16287, 16, 5510, 3541, 282, 22018, 289, 32462, 282, 14526, 19410, 16, 367, 1038, 7457, 4753, 290, 16445, 313, 845, 2529, 3216, 547, 3723, 35484, 19843, 942, 4897, 309, 7759, 16180, 17793, 1492, 2, 1, 87, 1456, 81, 2448, 30, 23944, 1162, 20925, 1175, 334, 45305, 7170, 281, 9764, 19911, 455, 282, 9019, 6436, 962, 39209, 18389, 18, 832, 749, 5197, 7193, 9001, 9110, 467, 8053, 10016, 555, 15481, 7342, 27500, 347, 18, 31224, 30, 677, 9937, 36383, 20925, 1175, 334, 45305, 7170, 19911, 455, 282, 9019, 6436, 962, 14922, 16130, 17, 960, 18, 385, 3436, 334, 4039, 4160, 282, 6081, 1212, 31638, 262, 7109, 3541, 2753, 530, 14015, 1678, 30746, 18, 22987, 7193, 16, 4410, 289, 13494, 10579, 4027, 2422, 16, 13284, 322, 1623, 7265, 49338, 496, 9019, 6436, 455, 16, 16017, 274, 481, 14015, 27273, 1231, 1876, 18, 20346, 9258, 2989, 16423, 39209, 18389, 32656, 5071, 4276, 11854, 368, 28505, 9110, 467, 23003, 2043, 1166, 1269, 6528, 290, 16876, 10649, 28081, 14452, 16, 282, 4542, 2024, 519, 924, 322, 661, 2508, 46512, 11854, 382, 40900, 1833, 10490, 651, 1875, 4304, 13340, 30576, 289, 10440, 18, 2046, 2174, 18804, 3848, 6280, 435, 309, 2507, 11304, 3991, 19532, 16355, 285, 1876, 16, 453, 428, 371, 4774, 546, 5251, 2009, 14452, 5571, 7193, 411, 13982, 5790, 281, 27273, 1231, 1082, 18, 365, 6031, 282, 8933, 477, 7342, 1175, 5823, 4966, 27500, 347, 16, 11612, 289, 30579, 16, 367, 2295, 5131, 951, 942, 11709, 15858, 2888, 478, 14776, 10738, 3422, 11593, 17392, 274, 16, 2145, 16, 29867, 16, 27633, 18, 9110, 467, 2931, 16, 2091, 16, 38296, 300, 1851, 373, 502, 537, 639, 7953, 451, 8683, 16, 515, 5809, 5702, 28920, 651, 14007, 382, 2422, 15434, 13761, 282, 22979, 17, 21131, 18, 12975, 33385, 756, 31194, 1190, 428, 2002, 1269, 15406, 1303, 7739, 1157, 282, 8933, 2972, 11359, 289, 1209, 11854, 382, 309, 7953, 547, 10649, 11623, 42100, 326, 18, 824, 3163, 9110, 467, 8053, 16, 4101, 26070, 2432, 49435, 19809, 10784, 2759, 4966, 651, 4358, 18, 478, 563, 412, 320, 2203, 15384, 2089, 6633, 20248, 334, 4487, 38953, 18, 18006, 289, 821, 5881, 451, 6441, 16, 510, 3153, 10552, 9110, 467, 2931, 478, 563, 1605, 861, 510, 9570, 1441, 784, 519, 29595, 1398, 14383, 3775, 5690, 411, 3338, 3143, 1587, 18, 2112, 7518, 2566, 9410, 309, 46144, 14452, 417, 1574, 13988, 322, 25500, 18, 5257, 374, 282, 1110, 16702, 656, 281, 46106, 43326, 322, 11715, 2919, 861, 16566, 7739, 2409, 11854, 368, 282, 31638, 262, 2756, 7193, 27500, 347, 16, 17518, 1712, 282, 9019, 6436, 300, 281, 8508, 16, 44088, 2223, 18, 10512, 25815, 4601, 21166, 2497, 9110, 467, 8053, 10258, 11623, 18, 378, 7274, 274, 294, 19955, 4372, 10321, 34979, 2594, 477, 12932, 1488, 30, 26, 16, 12992, 11854, 382, 687, 7083, 1166, 16432, 18, 365, 6031, 10080, 906, 7499, 324, 477, 12932, 2706, 30, 2692, 18, 7409, 4601, 9156, 17735, 322, 453, 1139, 18, 4777, 1269, 2874, 6556, 3550, 887, 16, 2805, 12975, 33385, 756, 18, 46717, 3259, 32125, 1559, 11274, 368, 16, 785, 11854, 382, 34447, 2846, 32657, 9410, 371, 20545, 1760, 30, 2692, 18, 1665, 367, 282, 33022, 5462, 582, 15481, 1543, 14604, 6936, 639, 8625, 3890, 651, 2706, 30, 5759, 18, 365, 14515, 4623, 11854, 382, 20908, 1190, 10182, 1357, 18, 378, 7274, 274, 1421, 32657, 16, 11854, 382, 40900, 11274, 368, 477, 12932, 491, 17, 27, 289, 294, 5462, 582, 281, 871, 16581, 16, 16017, 274, 651, 1281, 30, 5759, 18, 15193, 34215, 31273, 6556, 34447, 2846, 32657, 9410, 16, 2686, 2512, 3424, 1272, 40900, 651, 3405, 30, 5493, 18, 1241, 283, 538, 15177, 751, 16, 289, 1215, 726, 10133, 17, 11142, 329, 2759, 4966, 18, 2046, 17786, 15406, 689, 555, 309, 1003, 475, 8885, 18, 32895, 549, 16483, 33385, 6964, 651, 2706, 30, 6462, 18, 20876, 2523, 4601, 1543, 14604, 15126, 4732, 12879, 869, 16, 515, 21166, 2497, 9110, 467, 8053, 2156, 12974, 2385, 26931, 778, 21427, 651, 2287, 30, 28, 18, 5043, 16, 1373, 575, 7168, 7739, 26935, 1194, 977, 10742, 465, 651, 2511, 30, 4234, 18, 2046, 1177, 1894, 18818, 1559, 12651, 282, 17979, 4966, 27500, 347, 18, 5257, 374, 6712, 16, 3210, 16, 5352, 5698, 506, 11854, 1876, 30, 3103, 33039, 616, 432, 12994, 9410, 4266, 2419, 349, 965, 18, 365, 6031, 16410, 282, 5572, 8267, 9019, 6436, 455, 16, 4410, 289, 322, 749, 5197, 16, 5662, 354, 18, 365, 11946, 20925, 1175, 31834, 281, 15825, 30579, 18, 11333, 7036, 14922, 16130, 17, 960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17148, 12377, 19831, 360, 8508, 7977, 18, 510, 2877, 726, 912, 8206, 16, 374, 475, 26070, 6280, 318, 289, 9518, 1568, 928, 35, 11331, 510, 3397, 581, 18, 7500, 11116, 1011, 5251, 2009, 2595, 11287, 18, 7599, 6047, 778, 39207, 478, 28345, 470, 7485, 2895, 4048, 607, 488, 2715, 309, 3586, 48414, 1321, 478, 32485, 18, 8381, 861, 510, 9398, 18058, 6933, 360, 8508, 7977, 282, 38396, 17793, 289, 282, 11258, 35, 510, 385, 2059, 1963, 16, 656, 34447, 16, 8074, 326, 10384, 12994, 282, 1360, 8933, 16, 374, 322, 453, 1588, 289, 4702, 18, 385, 2107, 1963, 16, 656, 322, 21648, 13898, 11464, 1756, 16, 581, 4587, 1299, 2990, 15092, 2159, 18804, 282, 38396, 17793, 18, 459, 481, 726, 5992, 18, 510, 1397, 387, 11655, 290, 1110, 25694, 1165, 16, 374, 20908, 42215, 282, 3998, 7977, 35, 510, 889, 282, 2615, 445, 282, 3212, 24087, 16, 785, 2874, 42215, 16, 1494, 453, 3525, 4425, 10307, 8616, 16, 20908, 10647, 18, 510, 1012, 5428, 16, 374, 9402, 39900, 2438, 11910, 2320, 287, 27359, 6992, 401, 282, 3507, 35, 510, 2387, 16, 978, 417, 322, 2946, 18, 510, 24127, 262, 4060, 2284, 3525, 21519, 435, 309, 1907, 7977, 35, 510, 2387, 16, 417, 453, 322, 3684, 18, 1345, 2125, 898, 519, 4404, 319, 10133, 2332, 1110, 3338, 25467, 16, 1085, 35233, 1617, 2764, 289, 9665, 282, 36435, 392, 16, 753, 5298, 309, 1423, 8616, 18, 510, 3654, 453, 6392, 22474, 7193, 282, 5572, 44056, 35, 510, 1937, 1251, 4089, 289, 34414, 6535, 3716, 475, 42222, 21755, 16, 687, 289, 1716, 1733, 381, 25152, 16, 7339, 20166, 14264, 5862, 5514, 4990, 12544, 18, 2876, 417, 6317, 16, 374, 1299, 475, 575, 3225, 20850, 1800, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 2997, 925, 324, 470, 510, 478, 13467, 861, 6019, 16, 7005, 16287, 16, 5510, 3541, 282, 22018, 289, 32462, 282, 14526, 19410, 16, 367, 1038, 7457, 4753, 290, 16445, 313, 845, 2529, 3216, 547, 3723, 35484, 19843, 942, 4897, 309, 7759, 16180, 17793, 1492, 2, 1, 87, 1456, 81, 2448, 30, 23944, 1162, 20925, 1175, 334, 45305, 7170, 281, 9764, 19911, 455, 282, 9019, 6436, 962, 39209, 18389, 18, 832, 749, 5197, 7193, 9001, 9110, 467, 8053, 10016, 555, 15481, 7342, 27500, 347, 18, 31224, 30, 677, 9937, 36383, 20925, 1175, 334, 45305, 7170, 19911, 455, 282, 9019, 6436, 962, 14922, 16130, 17, 960, 18, 385, 3436, 334, 4039, 4160, 282, 6081, 1212, 31638, 262, 7109, 3541, 2753, 530, 14015, 1678, 30746, 18, 22987, 7193, 16, 4410, 289, 13494, 10579, 4027, 2422, 16, 13284, 322, 1623, 7265, 49338, 496, 9019, 6436, 455, 16, 16017, 274, 481, 14015, 27273, 1231, 1876, 18, 20346, 9258, 2989, 16423, 39209, 18389, 32656, 5071, 4276, 11854, 368, 28505, 9110, 467, 23003, 2043, 1166, 1269, 6528, 290, 16876, 10649, 28081, 14452, 16, 282, 4542, 2024, 519, 924, 322, 661, 2508, 46512, 11854, 382, 40900, 1833, 10490, 651, 1875, 4304, 13340, 30576, 289, 10440, 18, 2046, 2174, 18804, 3848, 6280, 435, 309, 2507, 11304, 3991, 19532, 16355, 285, 1876, 16, 453, 428, 371, 4774, 546, 5251, 2009, 14452, 5571, 7193, 411, 13982, 5790, 281, 27273, 1231, 1082, 18, 365, 6031, 282, 8933, 477, 7342, 1175, 5823, 4966, 27500, 347, 16, 11612, 289, 30579, 16, 367, 2295, 5131, 951, 942, 11709, 15858, 2888, 478, 14776, 10738, 3422, 11593, 17392, 274, 16, 2145, 16, 29867, 16, 27633, 18, 9110, 467, 2931, 16, 2091, 16, 38296, 300, 1851, 373, 502, 537, 639, 7953, 451, 8683, 16, 515, 5809, 5702, 28920, 651, 14007, 382, 2422, 15434, 13761, 282, 22979, 17, 21131, 18, 12975, 33385, 756, 31194, 1190, 428, 2002, 1269, 15406, 1303, 7739, 1157, 282, 8933, 2972, 11359, 289, 1209, 11854, 382, 309, 7953, 547, 10649, 11623, 42100, 326, 18, 824, 3163, 9110, 467, 8053, 16, 4101, 26070, 2432, 49435, 19809, 10784, 2759, 4966, 651, 4358, 18, 478, 563, 412, 320, 2203, 15384, 2089, 6633, 20248, 334, 4487, 38953, 18, 18006, 289, 821, 5881, 451, 6441, 16, 510, 3153, 10552, 9110, 467, 2931, 478, 563, 1605, 861, 510, 9570, 1441, 784, 519, 29595, 1398, 14383, 3775, 5690, 411, 3338, 3143, 1587, 18, 2112, 7518, 2566, 9410, 309, 46144, 14452, 417, 1574, 13988, 322, 25500, 18, 5257, 374, 282, 1110, 16702, 656, 281, 46106, 43326, 322, 11715, 2919, 861, 16566, 7739, 2409, 11854, 368, 282, 31638, 262, 2756, 7193, 27500, 347, 16, 17518, 1712, 282, 9019, 6436, 300, 281, 8508, 16, 44088, 2223, 18, 10512, 25815, 4601, 21166, 2497, 9110, 467, 8053, 10258, 11623, 18, 378, 7274, 274, 294, 19955, 4372, 10321, 34979, 2594, 477, 12932, 1488, 30, 26, 16, 12992, 11854, 382, 687, 7083, 1166, 16432, 18, 365, 6031, 10080, 906, 7499, 324, 477, 12932, 2706, 30, 2692, 18, 7409, 4601, 9156, 17735, 322, 453, 1139, 18, 4777, 1269, 2874, 6556, 3550, 887, 16, 2805, 12975, 33385, 756, 18, 46717, 3259, 32125, 1559, 11274, 368, 16, 785, 11854, 382, 34447, 2846, 32657, 9410, 371, 20545, 1760, 30, 2692, 18, 1665, 367, 282, 33022, 5462, 582, 15481, 1543, 14604, 6936, 639, 8625, 3890, 651, 2706, 30, 5759, 18, 365, 14515, 4623, 11854, 382, 20908, 1190, 10182, 1357, 18, 378, 7274, 274, 1421, 32657, 16, 11854, 382, 40900, 11274, 368, 477, 12932, 491, 17, 27, 289, 294, 5462, 582, 281, 871, 16581, 16, 16017, 274, 651, 1281, 30, 5759, 18, 15193, 34215, 31273, 6556, 34447, 2846, 32657, 9410, 16, 2686, 2512, 3424, 1272, 40900, 651, 3405, 30, 5493, 18, 1241, 283, 538, 15177, 751, 16, 289, 1215, 726, 10133, 17, 11142, 329, 2759, 4966, 18, 2046, 17786, 15406, 689, 555, 309, 1003, 475, 8885, 18, 32895, 549, 16483, 33385, 6964, 651, 2706, 30, 6462, 18, 20876, 2523, 4601, 1543, 14604, 15126, 4732, 12879, 869, 16, 515, 21166, 2497, 9110, 467, 8053, 2156, 12974, 2385, 26931, 778, 21427, 651, 2287, 30, 28, 18, 5043, 16, 1373, 575, 7168, 7739, 26935, 1194, 977, 10742, 465, 651, 2511, 30, 4234, 18, 2046, 1177, 1894, 18818, 1559, 12651, 282, 17979, 4966, 27500, 347, 18, 5257, 374, 6712, 16, 3210, 16, 5352, 5698, 506, 11854, 1876, 30, 3103, 33039, 616, 432, 12994, 9410, 4266, 2419, 349, 965, 18, 365, 6031, 16410, 282, 5572, 8267, 9019, 6436, 455, 16, 4410, 289, 322, 749, 5197, 16, 5662, 354, 18, 365, 11946, 20925, 1175, 31834, 281, 15825, 30579, 18, 11333, 7036, 14922, 16130, 17, 960 ]
[ 16, 2297, 1020, 643, 523, 289, 7561, 1175, 942, 4897, 309, 7759, 45305, 1869, 18, 2, 1, 87, 1456, 81, 2448, 30, 20377, 1619, 6676, 10376, 7179, 49353, 478, 34275, 2976, 5097, 470, 6816, 415, 546, 1645, 324, 289, 2271, 3626, 2117, 282, 4907, 2662, 42704, 6999, 6500, 401, 2341, 4030, 8955, 697, 4966, 1195, 478, 13802, 303, 2344, 470, 282, 6576, 547, 12013, 29730, 18, 18098, 451, 28940, 5700, 29368, 38013, 37115, 15272, 478, 27296, 17, 10594, 47015, 470, 309, 3177, 27027, 1684, 18070, 478, 45618, 486, 312, 861, 31224, 30, 3693, 7403, 8676, 8056, 2081, 448, 26070, 32671, 7561, 29730, 18, 365, 3765, 309, 11946, 282, 35772, 898, 6280, 318, 39398, 16287, 16, 282, 4729, 411, 1639, 21648, 2401, 5873, 10933, 27366, 1952, 18, 478, 34275, 32446, 470, 6816, 415, 546, 31322, 367, 282, 25857, 26390, 281, 478, 13802, 303, 2344, 861, 24295, 32124, 519, 978, 322, 1763, 6310, 282, 6566, 19163, 21273, 16, 322, 10587, 492, 2401, 5873, 289, 282, 803, 35107, 18, 6682, 924, 16, 478, 3363, 27961, 470, 3929, 1851, 17, 299, 1462, 1734, 15825, 541, 18952, 5539, 16, 453, 428, 975, 322, 3225, 7926, 649, 8999, 478, 13802, 823, 318, 470, 282, 7192, 4019, 290, 4267, 35107, 1967, 23904, 18, 3557, 322, 2619, 3720, 7316, 1482, 2696, 8219, 282, 8955, 478, 34275, 2976, 5097, 861, 14097, 274, 309, 12233, 16208, 1484, 13784, 4226, 3208, 2514, 27546, 16208, 486, 16, 415, 546, 31322, 32745, 2823, 567, 1209, 3437, 1763, 29576, 3187, 6150, 16452, 265, 5364, 15277, 10925, 18, 2112, 18890, 7977, 16, 282, 43813, 582, 16, 9805, 32124, 282, 15575, 7620, 5792, 47277, 1651, 42596, 504, 4194, 881, 429, 30, 478, 8804, 15396, 9019, 10499, 3629, 861, 459, 541, 978, 329, 1047, 898, 475, 10317, 18, 365, 5572, 29235, 504, 4194, 285, 628, 281, 10376, 415, 546, 1645, 324, 309, 2418, 17, 295, 20537, 46164, 4698, 46234, 282, 8999, 32376, 507, 16, 8018, 2822, 608, 21282, 16, 329, 2024, 282, 1177, 1119, 8542, 5104, 18, 365, 2456, 3998, 6740, 10485, 504, 4194, 285, 628, 3226, 17, 2767, 281, 10376, 415, 546, 1645, 324, 32644, 364, 16432, 7646, 18, 11566, 16, 374, 478, 34275, 32446, 470, 28024, 11623, 23625, 1743, 519, 9764, 16, 515, 282, 16876, 12643, 304, 11274, 582, 16452, 32908, 478, 13802, 823, 318, 470, 34185, 925, 16816, 877, 282, 8267, 18, 41410, 46234, 309, 7640, 17, 295, 20537, 2859, 6397, 300, 4210, 2263, 267, 1970, 1624, 12699, 1779, 7926, 649, 8999, 16, 961, 42313, 17503, 6999, 332, 3536, 18, 4852, 2846, 7130, 8198, 3732, 16432, 7243, 1475, 22605, 2326, 300, 1624, 2170, 8694, 1595, 6957, 17, 295, 10133, 282, 29730, 18, 403, 15695, 16, 2326, 300, 1559, 24721, 3818, 16465, 28067, 281, 35772, 16, 5076, 30342, 706, 1177, 12455, 18, 608, 864, 3058, 8955, 3187, 2497, 16452, 32908, 322, 40742, 18, 459, 309, 17736, 17, 295, 20537, 586, 4013, 283, 3424, 371, 2695, 547, 18995, 415, 546, 1645, 324, 475, 17, 2767, 46164, 2566, 668, 46234, 16, 785, 478, 34275, 32446, 470, 11347, 282, 11063, 18, 12280, 8097, 16, 374, 10398, 415, 546, 1645, 324, 289, 504, 4194, 881, 429, 12916, 28067, 7977, 685, 14449, 1717, 9805, 774, 34544, 478, 34275, 2976, 5097, 470, 6999, 332, 3536, 16, 12699, 1779, 13190, 649, 2555, 4744, 2449, 411, 9817, 16, 961, 16452, 32908, 478, 13802, 823, 318, 470, 35049, 334, 505, 24557, 18, 365, 6588, 360, 415, 546, 1645, 324, 16, 764, 1176, 34393, 9805, 32124, 29730, 10618, 5573, 2931, 322, 10587, 2401, 5873, 282, 9888, 32136, 8267, 505, 478, 37984, 19495, 16968, 470, 1279, 478, 12003, 1832, 576, 861, 3771, 3141, 7730, 5270, 4744, 2449, 334, 24557, 5691, 11572, 16, 515, 537, 1176, 411, 1129, 453, 289, 322, 5575, 4380, 18, 7704, 4156, 575, 25107, 18649, 15998, 15277, 807, 16, 2588, 46164, 12653, 864, 265, 309, 2261, 17, 295, 20537, 281, 17696, 7939, 488, 403, 648, 818, 18, 12507, 38013, 15512, 46164, 8970, 28940, 5700, 282, 7756, 4398, 17033, 390, 2596, 4744, 2449, 16, 1029, 289, 5568, 8955, 505, 478, 27296, 17, 10594, 47015, 470, 1195, 478, 45618, 486, 312, 861, 365, 5572, 29235, 10082, 24522, 2612, 23009, 478, 2534, 806, 2347, 470, 4024, 16, 515, 309, 4056, 20537, 11202, 10485, 11974, 582, 2948, 3221, 4165, 289, 19284, 5199, 282, 290, 551, 6189, 277, 18, 1937, 575, 282, 6031, 1743, 19740, 519, 28940, 326, 712, 16, 6548, 9680, 478, 27296, 17, 10594, 47015, 470, 6260, 4048, 1452, 9556, 271, 38013, 1616, 454, 19955, 6863, 309, 6269, 1011, 924, 16, 428, 768, 383, 10057, 13190, 364, 6972, 368, 28504, 297, 5687, 18, 12507, 16843, 40715, 334, 22824, 289, 15072, 4744, 1212, 14070, 46234, 282, 8999, 12995, 1265, 853, 16, 1586, 289, 2756, 9258, 2545, 282, 1335, 9155, 18, 33385, 269, 289, 28468, 512, 322, 21648, 4366, 478, 4925, 354, 546, 470, 1642, 1684, 18070, 478, 822, 300, 1145, 910, 289, 478, 41721, 1250, 470, 28365, 538, 13270, 477, 12932, 430, 30, 22, 18, 478, 50157, 354, 470, 309, 11495, 27027, 46050, 42100, 332, 478, 29392, 932, 266, 470, 477, 39135, 1061, 30, 21, 18, 824, 8954, 5790, 4446, 45843, 768, 9698, 347, 309, 4048, 7357, 35109, 282, 4907, 2662, 16, 515, 9227, 10133, 773, 481, 322, 24065, 18, 478, 1182, 17612, 347, 470, 1642, 46621, 478, 983, 4476, 4681, 470, 477, 39135, 430, 30, 23, 18, 27294, 8111, 536, 5019, 709, 30639, 1251, 478, 15995, 513, 17, 983, 4013, 470, 289, 32715, 5583, 294, 1420, 282, 4446, 478, 730, 5944, 2266, 23682, 861, 365, 5572, 29235, 15014, 1763, 9973, 1871, 15277, 919, 16, 1011, 1660, 567, 7422, 12643, 304, 11274, 582, 40211, 1421, 18, 12167, 23635, 11274, 368, 3424, 6088, 349, 16452, 265, 5364, 478, 15995, 1923, 910, 12699, 8309, 21165, 7926, 649, 8999, 16, 961, 42313, 586, 13278, 6739, 285, 18, 478, 25769, 1208, 4970, 470, 309, 3177, 27027, 2498, 14851, 16536, 360, 478, 30731, 14313, 24994, 470, 477, 39135, 430, 30, 26, 18, 12404, 15277, 807, 282, 8999, 504, 4194, 881, 429, 39359, 555, 726, 309, 35962, 20537, 5790, 1011, 43941, 4744, 820, 472, 3593, 267, 14030, 343, 18, 4800, 34544, 478, 1123, 4764, 470, 12067, 21515, 13190, 364, 282, 1335, 9155, 1760, 4744, 2449, 411, 2261, 16, 1795, 743, 1360, 10434, 9422, 9764, 281, 2733, 22304, 12932, 18, 478, 19253, 637, 46871, 470, 309, 11495, 27027, 282, 290, 551, 6189 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 2297, 1020, 643, 523, 289, 7561, 1175, 942, 4897, 309, 7759, 45305, 1869, 18, 2, 1, 87, 1456, 81, 2448, 30, 20377, 1619, 6676, 10376, 7179, 49353, 478, 34275, 2976, 5097, 470, 6816, 415, 546, 1645, 324, 289, 2271, 3626, 2117, 282, 4907, 2662, 42704, 6999, 6500, 401, 2341, 4030, 8955, 697, 4966, 1195, 478, 13802, 303, 2344, 470, 282, 6576, 547, 12013, 29730, 18, 18098, 451, 28940, 5700, 29368, 38013, 37115, 15272, 478, 27296, 17, 10594, 47015, 470, 309, 3177, 27027, 1684, 18070, 478, 45618, 486, 312, 861, 31224, 30, 3693, 7403, 8676, 8056, 2081, 448, 26070, 32671, 7561, 29730, 18, 365, 3765, 309, 11946, 282, 35772, 898, 6280, 318, 39398, 16287, 16, 282, 4729, 411, 1639, 21648, 2401, 5873, 10933, 27366, 1952, 18, 478, 34275, 32446, 470, 6816, 415, 546, 31322, 367, 282, 25857, 26390, 281, 478, 13802, 303, 2344, 861, 24295, 32124, 519, 978, 322, 1763, 6310, 282, 6566, 19163, 21273, 16, 322, 10587, 492, 2401, 5873, 289, 282, 803, 35107, 18, 6682, 924, 16, 478, 3363, 27961, 470, 3929, 1851, 17, 299, 1462, 1734, 15825, 541, 18952, 5539, 16, 453, 428, 975, 322, 3225, 7926, 649, 8999, 478, 13802, 823, 318, 470, 282, 7192, 4019, 290, 4267, 35107, 1967, 23904, 18, 3557, 322, 2619, 3720, 7316, 1482, 2696, 8219, 282, 8955, 478, 34275, 2976, 5097, 861, 14097, 274, 309, 12233, 16208, 1484, 13784, 4226, 3208, 2514, 27546, 16208, 486, 16, 415, 546, 31322, 32745, 2823, 567, 1209, 3437, 1763, 29576, 3187, 6150, 16452, 265, 5364, 15277, 10925, 18, 2112, 18890, 7977, 16, 282, 43813, 582, 16, 9805, 32124, 282, 15575, 7620, 5792, 47277, 1651, 42596, 504, 4194, 881, 429, 30, 478, 8804, 15396, 9019, 10499, 3629, 861, 459, 541, 978, 329, 1047, 898, 475, 10317, 18, 365, 5572, 29235, 504, 4194, 285, 628, 281, 10376, 415, 546, 1645, 324, 309, 2418, 17, 295, 20537, 46164, 4698, 46234, 282, 8999, 32376, 507, 16, 8018, 2822, 608, 21282, 16, 329, 2024, 282, 1177, 1119, 8542, 5104, 18, 365, 2456, 3998, 6740, 10485, 504, 4194, 285, 628, 3226, 17, 2767, 281, 10376, 415, 546, 1645, 324, 32644, 364, 16432, 7646, 18, 11566, 16, 374, 478, 34275, 32446, 470, 28024, 11623, 23625, 1743, 519, 9764, 16, 515, 282, 16876, 12643, 304, 11274, 582, 16452, 32908, 478, 13802, 823, 318, 470, 34185, 925, 16816, 877, 282, 8267, 18, 41410, 46234, 309, 7640, 17, 295, 20537, 2859, 6397, 300, 4210, 2263, 267, 1970, 1624, 12699, 1779, 7926, 649, 8999, 16, 961, 42313, 17503, 6999, 332, 3536, 18, 4852, 2846, 7130, 8198, 3732, 16432, 7243, 1475, 22605, 2326, 300, 1624, 2170, 8694, 1595, 6957, 17, 295, 10133, 282, 29730, 18, 403, 15695, 16, 2326, 300, 1559, 24721, 3818, 16465, 28067, 281, 35772, 16, 5076, 30342, 706, 1177, 12455, 18, 608, 864, 3058, 8955, 3187, 2497, 16452, 32908, 322, 40742, 18, 459, 309, 17736, 17, 295, 20537, 586, 4013, 283, 3424, 371, 2695, 547, 18995, 415, 546, 1645, 324, 475, 17, 2767, 46164, 2566, 668, 46234, 16, 785, 478, 34275, 32446, 470, 11347, 282, 11063, 18, 12280, 8097, 16, 374, 10398, 415, 546, 1645, 324, 289, 504, 4194, 881, 429, 12916, 28067, 7977, 685, 14449, 1717, 9805, 774, 34544, 478, 34275, 2976, 5097, 470, 6999, 332, 3536, 16, 12699, 1779, 13190, 649, 2555, 4744, 2449, 411, 9817, 16, 961, 16452, 32908, 478, 13802, 823, 318, 470, 35049, 334, 505, 24557, 18, 365, 6588, 360, 415, 546, 1645, 324, 16, 764, 1176, 34393, 9805, 32124, 29730, 10618, 5573, 2931, 322, 10587, 2401, 5873, 282, 9888, 32136, 8267, 505, 478, 37984, 19495, 16968, 470, 1279, 478, 12003, 1832, 576, 861, 3771, 3141, 7730, 5270, 4744, 2449, 334, 24557, 5691, 11572, 16, 515, 537, 1176, 411, 1129, 453, 289, 322, 5575, 4380, 18, 7704, 4156, 575, 25107, 18649, 15998, 15277, 807, 16, 2588, 46164, 12653, 864, 265, 309, 2261, 17, 295, 20537, 281, 17696, 7939, 488, 403, 648, 818, 18, 12507, 38013, 15512, 46164, 8970, 28940, 5700, 282, 7756, 4398, 17033, 390, 2596, 4744, 2449, 16, 1029, 289, 5568, 8955, 505, 478, 27296, 17, 10594, 47015, 470, 1195, 478, 45618, 486, 312, 861, 365, 5572, 29235, 10082, 24522, 2612, 23009, 478, 2534, 806, 2347, 470, 4024, 16, 515, 309, 4056, 20537, 11202, 10485, 11974, 582, 2948, 3221, 4165, 289, 19284, 5199, 282, 290, 551, 6189, 277, 18, 1937, 575, 282, 6031, 1743, 19740, 519, 28940, 326, 712, 16, 6548, 9680, 478, 27296, 17, 10594, 47015, 470, 6260, 4048, 1452, 9556, 271, 38013, 1616, 454, 19955, 6863, 309, 6269, 1011, 924, 16, 428, 768, 383, 10057, 13190, 364, 6972, 368, 28504, 297, 5687, 18, 12507, 16843, 40715, 334, 22824, 289, 15072, 4744, 1212, 14070, 46234, 282, 8999, 12995, 1265, 853, 16, 1586, 289, 2756, 9258, 2545, 282, 1335, 9155, 18, 33385, 269, 289, 28468, 512, 322, 21648, 4366, 478, 4925, 354, 546, 470, 1642, 1684, 18070, 478, 822, 300, 1145, 910, 289, 478, 41721, 1250, 470, 28365, 538, 13270, 477, 12932, 430, 30, 22, 18, 478, 50157, 354, 470, 309, 11495, 27027, 46050, 42100, 332, 478, 29392, 932, 266, 470, 477, 39135, 1061, 30, 21, 18, 824, 8954, 5790, 4446, 45843, 768, 9698, 347, 309, 4048, 7357, 35109, 282, 4907, 2662, 16, 515, 9227, 10133, 773, 481, 322, 24065, 18, 478, 1182, 17612, 347, 470, 1642, 46621, 478, 983, 4476, 4681, 470, 477, 39135, 430, 30, 23, 18, 27294, 8111, 536, 5019, 709, 30639, 1251, 478, 15995, 513, 17, 983, 4013, 470, 289, 32715, 5583, 294, 1420, 282, 4446, 478, 730, 5944, 2266, 23682, 861, 365, 5572, 29235, 15014, 1763, 9973, 1871, 15277, 919, 16, 1011, 1660, 567, 7422, 12643, 304, 11274, 582, 40211, 1421, 18, 12167, 23635, 11274, 368, 3424, 6088, 349, 16452, 265, 5364, 478, 15995, 1923, 910, 12699, 8309, 21165, 7926, 649, 8999, 16, 961, 42313, 586, 13278, 6739, 285, 18, 478, 25769, 1208, 4970, 470, 309, 3177, 27027, 2498, 14851, 16536, 360, 478, 30731, 14313, 24994, 470, 477, 39135, 430, 30, 26, 18, 12404, 15277, 807, 282, 8999, 504, 4194, 881, 429, 39359, 555, 726, 309, 35962, 20537, 5790, 1011, 43941, 4744, 820, 472, 3593, 267, 14030, 343, 18, 4800, 34544, 478, 1123, 4764, 470, 12067, 21515, 13190, 364, 282, 1335, 9155, 1760, 4744, 2449, 411, 2261, 16, 1795, 743, 1360, 10434, 9422, 9764, 281, 2733, 22304, 12932, 18, 478, 19253, 637, 46871, 470, 309, 11495, 27027, 282, 290, 551, 6189 ]
[ 482, 33513, 478, 21664, 18113, 33960, 470, 477, 39135, 816, 30, 24, 18, 478, 29521, 298, 433, 470, 309, 3177, 27027, 50253, 478, 1098, 397, 17, 43469, 470, 477, 39135, 1032, 30, 21, 18, 478, 682, 19324, 47772, 470, 1642, 334, 28940, 326, 2675, 33513, 478, 563, 645, 17, 20327, 711, 272, 470, 477, 39135, 430, 30, 22, 18, 478, 677, 34379, 551, 470, 309, 1360, 14597, 50253, 478, 684, 1412, 28414, 470, 477, 39135, 1032, 30, 22, 18, 478, 23739, 17, 1916, 16460, 470, 309, 1360, 14597, 50253, 30490, 9361, 1887, 14378, 30691, 326, 478, 1659, 27254, 470, 477, 39135, 1061, 30, 22, 18, 11333, 6034, 290, 349, 11624, 35374, 16452, 263, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 15309, 2576, 549, 12499, 9467, 6406, 6584, 5906, 4226, 11253, 16, 29584, 1081, 953, 1097, 5966, 477, 8753, 323, 35189, 18, 824, 1335, 575, 8386, 2125, 953, 45636, 282, 16294, 1293, 7032, 5439, 18, 39766, 2539, 1007, 289, 10286, 19750, 11919, 289, 4830, 18, 31224, 30, 672, 530, 46741, 3003, 12284, 5355, 5129, 2665, 16, 23035, 2822, 9622, 298, 915, 597, 1573, 3729, 305, 845, 28017, 289, 834, 2617, 2284, 12128, 1066, 24774, 10707, 779, 16, 13510, 857, 14045, 36980, 5526, 427, 2891, 282, 4008, 18, 365, 2630, 477, 8753, 323, 18112, 5738, 14575, 10064, 38487, 19750, 6431, 2891, 18, 365, 10666, 5413, 9399, 18034, 2665, 43183, 4871, 9713, 282, 1568, 290, 21989, 289, 505, 15778, 2272, 18, 11824, 36133, 1037, 891, 7083, 1867, 19833, 2205, 4830, 17514, 34843, 18, 9873, 1514, 11241, 12094, 770, 19750, 510, 3018, 3029, 2102, 23383, 16, 18034, 289, 14314, 36193, 510, 5037, 4000, 3619, 3775, 541, 33335, 3594, 20921, 761, 2553, 18, 2877, 4770, 895, 9650, 990, 9874, 29125, 2974, 7001, 16, 10919, 35634, 18198, 6043, 4151, 27898, 2891, 289, 20612, 360, 1129, 26141, 290, 8997, 1734, 3705, 18, 1367, 1637, 1453, 12094, 839, 22141, 7947, 44279, 1943, 21001, 726, 282, 13673, 4701, 510, 7969, 12128, 783, 16435, 1893, 505, 25601, 281, 1286, 519, 1032, 3400, 9541, 17, 293, 628, 278, 2477, 282, 21989, 18, 5637, 15389, 478, 32485, 18, 8381, 470, 282, 2974, 353, 404, 25156, 16, 374, 282, 16294, 45060, 40819, 9541, 17, 24339, 4137, 385, 743, 18532, 473, 47190, 6769, 13, 289, 9541, 17, 24339, 334, 7546, 2437, 1136, 34980, 434, 10139, 7947, 18324, 29873, 473, 267, 2500, 14975, 45947, 814, 365, 6937, 4830, 26940, 1038, 2678, 1033, 12652, 416, 2097, 8855, 1333, 4593, 12609, 5439, 18, 457, 1167, 19483, 8171, 1195, 25189, 7225, 47927, 23457, 2368, 16, 16294, 2024, 15719, 448, 16872, 289, 14697, 16451, 1973, 764, 281, 7294, 16, 367, 1038, 25189, 9246, 1552, 9477, 823, 339, 45139, 13432, 18, 5043, 16, 12020, 32638, 282, 10666, 20075, 27529, 2678, 1360, 40483, 16, 48431, 722, 478, 296, 402, 304, 861, 1268, 4111, 9622, 298, 10568, 12745, 18092, 294, 42509, 954, 12760, 680, 24253, 30, 3255, 678, 906, 18267, 16, 753, 48549, 28265, 360, 40052, 2097, 436, 41315, 16, 367, 282, 37299, 1441, 35189, 2745, 11402, 9427, 17415, 18, 4185, 25111, 21121, 10723, 11065, 22710, 16, 1800, 1953, 12973, 1133, 16872, 27875, 3655, 4957, 290, 11184, 12760, 718, 11248, 18, 3557, 322, 2619, 32246, 34843, 32629, 16, 374, 1441, 11009, 24253, 322, 1747, 4116, 575, 4775, 318, 282, 12278, 15774, 12360, 18, 5161, 16, 41344, 12466, 906, 25791, 9884, 990, 411, 20957, 382, 2299, 19048, 16, 14225, 1815, 15363, 6226, 7975, 6780, 18, 478, 1358, 322, 3893, 16, 374, 349, 1047, 16738, 5317, 518, 16, 1085, 5053, 294, 1299, 473, 275, 5906, 510, 478, 18386, 18, 8381, 9979, 411, 13028, 1214, 44290, 32652, 289, 478, 2176, 1027, 2665, 861, 4406, 3586, 289, 334, 36116, 272, 39832, 367, 723, 608, 813, 1003, 20835, 16, 374, 840, 3405, 26, 12607, 910, 510, 9848, 44241, 22519, 478, 27144, 2516, 470, 6070, 8657, 1349, 291, 18, 13353, 7614, 4851, 5836, 12670, 16, 961, 33503, 840, 25791, 5134, 282, 2630, 281, 14620, 403, 563, 16, 36657, 28261, 19750, 11630, 289, 4830, 18, 12284, 783, 16, 1097, 401, 4749, 309, 4862, 519, 2555, 3597, 16, 12603, 455, 1061, 17, 7745, 3871, 3685, 28014, 16, 367, 7969, 3585, 24614, 1177, 3017, 519, 1032, 986, 18, 6592, 12380, 35189, 16, 2588, 4522, 364, 403, 563, 16, 2081, 448, 11031, 2003, 8197, 726, 282, 11500, 4440, 779, 18, 2046, 42915, 4137, 39832, 12679, 20075, 1279, 978, 289, 24132, 16, 753, 45046, 285, 21161, 1103, 1070, 12783, 541, 28014, 519, 3990, 4018, 779, 18, 640, 803, 12760, 322, 15279, 33191, 18, 640, 5017, 2339, 27766, 39832, 2815, 16, 374, 49804, 6296, 26310, 289, 19790, 2553, 5134, 5836, 282, 12128, 1066, 16, 282, 1639, 7051, 2094, 25494, 16, 32293, 360, 12128, 4568, 10286, 5743, 2081, 432, 10144, 4373, 30490, 11919, 18, 817, 9848, 1423, 10839, 867, 16, 374, 1177, 1056, 276, 275, 28014, 685, 9272, 309, 45273, 432, 10296, 16, 2972, 17941, 322, 282, 11500, 16, 367, 282, 11130, 18, 478, 17394, 3252, 2675, 322, 5425, 17132, 13591, 18, 2876, 3014, 22482, 11031, 281, 3990, 309, 29809, 510, 31177, 4018, 779, 910, 510, 9848, 42915, 18, 45046, 285, 10218, 290, 45528, 281, 46977, 8402, 12046, 16, 30634, 16, 374, 13342, 3014, 10286, 19750, 1209, 20134, 6296, 7245, 18, 478, 21393, 4956, 9192, 948, 334, 5083, 924, 16, 753, 475, 9184, 751, 309, 1061, 986, 18, 2876, 5024, 5836, 1698, 953, 24732, 2702, 2156, 910, 510, 9848, 8099, 24001, 3720, 11785, 312, 14121, 18, 1598, 21459, 28261, 16, 7260, 16, 2413, 6050, 289, 4830, 34843, 510, 381, 803, 2815, 39832, 18, 7743, 282, 970, 16, 374, 282, 4373, 37299, 289, 23787, 35189, 25583, 1007, 5230, 18390, 10144, 4830, 18, 459, 16, 827, 20117, 5836, 28261, 840, 1574, 575, 16, 428, 289, 282, 1750, 281, 11309, 1703, 38833, 16, 44279, 12845, 12356, 1061, 4776, 30, 4226, 3802, 2801, 779, 16, 428, 21079, 315, 282, 4676, 35189, 16, 4770, 1133, 11031, 18222, 282, 11500, 2604, 779, 16, 428, 12603, 455, 12128, 783, 16110, 18, 2, 1, 87, 1456, 81, 2448, 30, 36578, 4029, 281, 2742, 779, 27375, 300, 309, 1760, 16, 23, 7418, 20839, 5024, 8308, 49050, 18, 824, 8872, 4120, 26230, 27375, 576, 282, 12662, 15209, 1175, 18, 13353, 11534, 20299, 5995, 309, 39258, 539, 26230, 289, 17372, 368, 354, 33032, 19805, 18, 365, 11023, 5995, 309, 26230, 1293, 3585, 19255, 18, 31224, 30, 16945, 419 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 482, 33513, 478, 21664, 18113, 33960, 470, 477, 39135, 816, 30, 24, 18, 478, 29521, 298, 433, 470, 309, 3177, 27027, 50253, 478, 1098, 397, 17, 43469, 470, 477, 39135, 1032, 30, 21, 18, 478, 682, 19324, 47772, 470, 1642, 334, 28940, 326, 2675, 33513, 478, 563, 645, 17, 20327, 711, 272, 470, 477, 39135, 430, 30, 22, 18, 478, 677, 34379, 551, 470, 309, 1360, 14597, 50253, 478, 684, 1412, 28414, 470, 477, 39135, 1032, 30, 22, 18, 478, 23739, 17, 1916, 16460, 470, 309, 1360, 14597, 50253, 30490, 9361, 1887, 14378, 30691, 326, 478, 1659, 27254, 470, 477, 39135, 1061, 30, 22, 18, 11333, 6034, 290, 349, 11624, 35374, 16452, 263, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 15309, 2576, 549, 12499, 9467, 6406, 6584, 5906, 4226, 11253, 16, 29584, 1081, 953, 1097, 5966, 477, 8753, 323, 35189, 18, 824, 1335, 575, 8386, 2125, 953, 45636, 282, 16294, 1293, 7032, 5439, 18, 39766, 2539, 1007, 289, 10286, 19750, 11919, 289, 4830, 18, 31224, 30, 672, 530, 46741, 3003, 12284, 5355, 5129, 2665, 16, 23035, 2822, 9622, 298, 915, 597, 1573, 3729, 305, 845, 28017, 289, 834, 2617, 2284, 12128, 1066, 24774, 10707, 779, 16, 13510, 857, 14045, 36980, 5526, 427, 2891, 282, 4008, 18, 365, 2630, 477, 8753, 323, 18112, 5738, 14575, 10064, 38487, 19750, 6431, 2891, 18, 365, 10666, 5413, 9399, 18034, 2665, 43183, 4871, 9713, 282, 1568, 290, 21989, 289, 505, 15778, 2272, 18, 11824, 36133, 1037, 891, 7083, 1867, 19833, 2205, 4830, 17514, 34843, 18, 9873, 1514, 11241, 12094, 770, 19750, 510, 3018, 3029, 2102, 23383, 16, 18034, 289, 14314, 36193, 510, 5037, 4000, 3619, 3775, 541, 33335, 3594, 20921, 761, 2553, 18, 2877, 4770, 895, 9650, 990, 9874, 29125, 2974, 7001, 16, 10919, 35634, 18198, 6043, 4151, 27898, 2891, 289, 20612, 360, 1129, 26141, 290, 8997, 1734, 3705, 18, 1367, 1637, 1453, 12094, 839, 22141, 7947, 44279, 1943, 21001, 726, 282, 13673, 4701, 510, 7969, 12128, 783, 16435, 1893, 505, 25601, 281, 1286, 519, 1032, 3400, 9541, 17, 293, 628, 278, 2477, 282, 21989, 18, 5637, 15389, 478, 32485, 18, 8381, 470, 282, 2974, 353, 404, 25156, 16, 374, 282, 16294, 45060, 40819, 9541, 17, 24339, 4137, 385, 743, 18532, 473, 47190, 6769, 13, 289, 9541, 17, 24339, 334, 7546, 2437, 1136, 34980, 434, 10139, 7947, 18324, 29873, 473, 267, 2500, 14975, 45947, 814, 365, 6937, 4830, 26940, 1038, 2678, 1033, 12652, 416, 2097, 8855, 1333, 4593, 12609, 5439, 18, 457, 1167, 19483, 8171, 1195, 25189, 7225, 47927, 23457, 2368, 16, 16294, 2024, 15719, 448, 16872, 289, 14697, 16451, 1973, 764, 281, 7294, 16, 367, 1038, 25189, 9246, 1552, 9477, 823, 339, 45139, 13432, 18, 5043, 16, 12020, 32638, 282, 10666, 20075, 27529, 2678, 1360, 40483, 16, 48431, 722, 478, 296, 402, 304, 861, 1268, 4111, 9622, 298, 10568, 12745, 18092, 294, 42509, 954, 12760, 680, 24253, 30, 3255, 678, 906, 18267, 16, 753, 48549, 28265, 360, 40052, 2097, 436, 41315, 16, 367, 282, 37299, 1441, 35189, 2745, 11402, 9427, 17415, 18, 4185, 25111, 21121, 10723, 11065, 22710, 16, 1800, 1953, 12973, 1133, 16872, 27875, 3655, 4957, 290, 11184, 12760, 718, 11248, 18, 3557, 322, 2619, 32246, 34843, 32629, 16, 374, 1441, 11009, 24253, 322, 1747, 4116, 575, 4775, 318, 282, 12278, 15774, 12360, 18, 5161, 16, 41344, 12466, 906, 25791, 9884, 990, 411, 20957, 382, 2299, 19048, 16, 14225, 1815, 15363, 6226, 7975, 6780, 18, 478, 1358, 322, 3893, 16, 374, 349, 1047, 16738, 5317, 518, 16, 1085, 5053, 294, 1299, 473, 275, 5906, 510, 478, 18386, 18, 8381, 9979, 411, 13028, 1214, 44290, 32652, 289, 478, 2176, 1027, 2665, 861, 4406, 3586, 289, 334, 36116, 272, 39832, 367, 723, 608, 813, 1003, 20835, 16, 374, 840, 3405, 26, 12607, 910, 510, 9848, 44241, 22519, 478, 27144, 2516, 470, 6070, 8657, 1349, 291, 18, 13353, 7614, 4851, 5836, 12670, 16, 961, 33503, 840, 25791, 5134, 282, 2630, 281, 14620, 403, 563, 16, 36657, 28261, 19750, 11630, 289, 4830, 18, 12284, 783, 16, 1097, 401, 4749, 309, 4862, 519, 2555, 3597, 16, 12603, 455, 1061, 17, 7745, 3871, 3685, 28014, 16, 367, 7969, 3585, 24614, 1177, 3017, 519, 1032, 986, 18, 6592, 12380, 35189, 16, 2588, 4522, 364, 403, 563, 16, 2081, 448, 11031, 2003, 8197, 726, 282, 11500, 4440, 779, 18, 2046, 42915, 4137, 39832, 12679, 20075, 1279, 978, 289, 24132, 16, 753, 45046, 285, 21161, 1103, 1070, 12783, 541, 28014, 519, 3990, 4018, 779, 18, 640, 803, 12760, 322, 15279, 33191, 18, 640, 5017, 2339, 27766, 39832, 2815, 16, 374, 49804, 6296, 26310, 289, 19790, 2553, 5134, 5836, 282, 12128, 1066, 16, 282, 1639, 7051, 2094, 25494, 16, 32293, 360, 12128, 4568, 10286, 5743, 2081, 432, 10144, 4373, 30490, 11919, 18, 817, 9848, 1423, 10839, 867, 16, 374, 1177, 1056, 276, 275, 28014, 685, 9272, 309, 45273, 432, 10296, 16, 2972, 17941, 322, 282, 11500, 16, 367, 282, 11130, 18, 478, 17394, 3252, 2675, 322, 5425, 17132, 13591, 18, 2876, 3014, 22482, 11031, 281, 3990, 309, 29809, 510, 31177, 4018, 779, 910, 510, 9848, 42915, 18, 45046, 285, 10218, 290, 45528, 281, 46977, 8402, 12046, 16, 30634, 16, 374, 13342, 3014, 10286, 19750, 1209, 20134, 6296, 7245, 18, 478, 21393, 4956, 9192, 948, 334, 5083, 924, 16, 753, 475, 9184, 751, 309, 1061, 986, 18, 2876, 5024, 5836, 1698, 953, 24732, 2702, 2156, 910, 510, 9848, 8099, 24001, 3720, 11785, 312, 14121, 18, 1598, 21459, 28261, 16, 7260, 16, 2413, 6050, 289, 4830, 34843, 510, 381, 803, 2815, 39832, 18, 7743, 282, 970, 16, 374, 282, 4373, 37299, 289, 23787, 35189, 25583, 1007, 5230, 18390, 10144, 4830, 18, 459, 16, 827, 20117, 5836, 28261, 840, 1574, 575, 16, 428, 289, 282, 1750, 281, 11309, 1703, 38833, 16, 44279, 12845, 12356, 1061, 4776, 30, 4226, 3802, 2801, 779, 16, 428, 21079, 315, 282, 4676, 35189, 16, 4770, 1133, 11031, 18222, 282, 11500, 2604, 779, 16, 428, 12603, 455, 12128, 783, 16110, 18, 2, 1, 87, 1456, 81, 2448, 30, 36578, 4029, 281, 2742, 779, 27375, 300, 309, 1760, 16, 23, 7418, 20839, 5024, 8308, 49050, 18, 824, 8872, 4120, 26230, 27375, 576, 282, 12662, 15209, 1175, 18, 13353, 11534, 20299, 5995, 309, 39258, 539, 26230, 289, 17372, 368, 354, 33032, 19805, 18, 365, 11023, 5995, 309, 26230, 1293, 3585, 19255, 18, 31224, 30, 16945, 419 ]
[ 266, 21949, 16597, 1013, 17401, 933, 2898, 309, 5554, 539, 26230, 18, 824, 3761, 11413, 5554, 451, 19805, 282, 1175, 27375, 300, 334, 8872, 4120, 309, 2239, 16, 26, 7418, 367, 281, 2742, 779, 5995, 20299, 309, 1760, 16, 23, 5999, 13353, 3525, 282, 4440, 1045, 7072, 34777, 309, 17372, 368, 354, 33032, 19805, 289, 39258, 539, 26230, 18, 999, 2287, 4776, 7072, 36387, 8934, 439, 265, 17, 5737, 36701, 309, 667, 16, 23, 9, 282, 11099, 334, 1175, 16, 367, 1679, 6252, 343, 23621, 3601, 4039, 16, 21, 9, 294, 8990, 18, 6682, 1907, 1505, 23634, 36387, 13316, 6355, 282, 10811, 36968, 18, 385, 3612, 1028, 1458, 7822, 1162, 6134, 40748, 32647, 6740, 36387, 18814, 309, 2418, 16, 23, 7418, 367, 32647, 25193, 510, 309, 2511, 16, 26, 5999, 967, 803, 334, 8872, 4120, 19805, 5935, 300, 282, 22755, 11100, 11063, 12466, 510, 6591, 49462, 282, 12662, 411, 1129, 18, 365, 10504, 24669, 2662, 22941, 5995, 322, 32286, 18, 17102, 9250, 6591, 2898, 309, 16736, 539, 26230, 10750, 1390, 282, 40286, 680, 1767, 510, 309, 491, 16, 27, 7418, 282, 1533, 15209, 6134, 36387, 289, 1679, 6252, 382, 12837, 18, 15822, 5551, 33262, 304, 2756, 8657, 283, 465, 510, 309, 430, 16, 26, 5999, 1268, 19816, 448, 5995, 13257, 282, 1500, 575, 2849, 20299, 282, 11099, 309, 2239, 16, 23, 5999, 13353, 3525, 653, 712, 3047, 2957, 4030, 5995, 282, 20978, 1212, 14305, 510, 309, 2287, 16, 24, 7418, 367, 43389, 1757, 5121, 27375, 264, 564, 282, 38503, 680, 1767, 510, 309, 430, 16, 26, 5999, 15522, 1947, 424, 7444, 5995, 282, 10096, 15209, 2553, 16, 764, 282, 10096, 6134, 8824, 309, 5066, 6705, 5196, 18, 365, 7518, 15209, 22822, 3585, 23593, 5995, 18, 967, 803, 3938, 26516, 7072, 40748, 21044, 1062, 17045, 13638, 448, 5995, 24283, 423, 4754, 9991, 27770, 4652, 282, 430, 16, 27, 384, 21, 16, 29, 4570, 18, 13708, 875, 1223, 17440, 343, 8974, 39074, 282, 45915, 4267, 35557, 15161, 30, 22434, 7072, 40748, 36387, 334, 8872, 4160, 14231, 1122, 2555, 16, 21, 10597, 18, 967, 803, 282, 20848, 2376, 6134, 40748, 439, 265, 17, 16299, 4896, 6603, 16, 6568, 10597, 16, 439, 265, 17, 12555, 510, 8653, 16, 8042, 16, 367, 17934, 21055, 13429, 510, 11114, 16, 12770, 10597, 16, 367, 309, 688, 1285, 370, 582, 22434, 6134, 40748, 36387, 17045, 11166, 16, 26, 2791, 18, 365, 43308, 35557, 15161, 5995, 309, 26230, 1958, 2602, 309, 5066, 3436, 16, 12979, 10597, 349, 2999, 269, 439, 265, 17, 5737, 16, 4016, 16, 17867, 10597, 2353, 32647, 2992, 16, 4039, 2791, 23308, 30190, 510, 439, 265, 17, 12555, 16, 3436, 16, 13040, 510, 39258, 539, 26230, 18, 365, 3507, 334, 8872, 4120, 6134, 40748, 32647, 6740, 36387, 14231, 4055, 2791, 11166, 32906, 16, 439, 265, 17, 12555, 43523, 4518, 16, 3161, 10597, 16, 1679, 6252, 343, 510, 4039, 16, 9965, 10597, 18, 365, 28138, 17739, 779, 5995, 309, 19805, 282, 1175, 6858, 309, 13965, 18, 365, 2849, 281, 430, 334, 667, 3972, 22434, 6134, 978, 16736, 434, 13429, 12837, 309, 3695, 49355, 454, 334, 7413, 281, 515, 26807, 628, 18, 824, 3761, 10143, 25878, 416, 15137, 309, 4016, 3972, 16, 19805, 8934, 439, 265, 17, 16299, 2353, 4055, 16, 8492, 10597, 16, 32647, 23912, 510, 4518, 16, 8696, 10597, 18, 439, 1215, 5995, 309, 1679, 6252, 454, 282, 1175, 16, 6891, 16, 20299, 16, 4813, 309, 42588, 16, 12314, 1453, 44409, 309, 478, 28828, 319, 470, 1624, 478, 18306, 11460, 470, 289, 478, 12003, 12103, 399, 319, 861, 41039, 22996, 755, 16435, 300, 14852, 1051, 294, 6524, 464, 46724, 309, 16737, 7512, 816, 16, 25, 3940, 5096, 2791, 349, 36216, 289, 43096, 3232, 412, 5618, 7773, 5995, 309, 39258, 539, 26230, 289, 7131, 265, 333, 320, 397, 375, 282, 2343, 4479, 17, 361, 289, 282, 4440, 1045, 18, 7249, 309, 481, 16, 349, 1421, 5576, 3972, 6134, 17934, 21055, 13429, 18814, 282, 11099, 334, 1175, 309, 2123, 32906, 289, 14231, 4055, 2791, 22291, 32906, 18, 365, 11147, 7072, 29647, 13429, 281, 430, 3972, 18814, 309, 17736, 30190, 18, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 548, 15032, 11187, 7462, 4764, 47765, 6134, 27762, 364, 6464, 282, 5544, 812, 39829, 9802, 5516, 2381, 16, 961, 411, 17, 431, 290, 551, 1219, 2931, 486, 6933, 749, 4643, 11581, 2223, 282, 29228, 18, 15066, 22517, 19048, 895, 953, 7316, 286, 726, 309, 1335, 11056, 18, 17878, 22170, 2944, 4266, 290, 5941, 2242, 32606, 1507, 290, 551, 1219, 2931, 297, 30, 1177, 14057, 8425, 567, 1514, 2968, 289, 4360, 3585, 1676, 7072, 309, 19092, 18, 31224, 30, 17394, 3252, 548, 15976, 15089, 5385, 15717, 290, 551, 1219, 2931, 486, 18, 7200, 46984, 2684, 1887, 22348, 16934, 334, 32452, 582, 7550, 439, 7769, 933, 2259, 726, 309, 1335, 11056, 18894, 282, 31375, 31657, 19048, 16, 30149, 413, 1815, 1078, 1769, 7462, 4173, 1188, 35055, 16, 5076, 411, 17, 431, 10929, 19831, 7619, 26716, 16, 828, 1801, 282, 29228, 16, 895, 322, 2705, 1938, 18567, 12997, 18, 7042, 10933, 22170, 1800, 31518, 1143, 26716, 309, 1617, 39373, 16, 828, 1801, 309, 11336, 16, 753, 424, 19027, 1086, 965, 360, 19959, 40957, 44810, 282, 21834, 16, 9848, 10564, 478, 4874, 31679, 680, 14415, 225, 861, 478, 49165, 7165, 7421, 5095, 26646, 16, 374, 4652, 1409, 17, 2479, 9, 11462, 16, 428, 5429, 16, 44214, 2625, 670, 38199, 28666, 16, 510, 1109, 439, 7769, 933, 16, 376, 1735, 7462, 4921, 289, 25415, 802, 309, 329, 1711, 335, 4998, 30, 31518, 12356, 19092, 16, 753, 17338, 16699, 4135, 861, 889, 15042, 16, 2486, 1038, 7788, 18322, 7543, 3271, 670, 290, 551, 1219, 2931, 297, 16, 7562, 5241, 1569, 289, 282, 1888, 7338, 16, 2686, 1122, 12761, 8389, 27143, 7590, 4164, 309, 10564, 547, 5066, 18, 439, 7769, 933, 10050, 16, 374, 583, 11451, 48722, 281, 21285, 16, 785, 309, 24422, 41956, 475, 16, 1085, 3277, 40814, 19092, 18, 23656, 22170, 282, 803, 1750, 15032, 5516, 2381, 16, 961, 322, 1391, 8171, 282, 18332, 16, 9438, 1380, 13357, 4315, 3032, 670, 9078, 2764, 349, 16903, 18, 2046, 13054, 541, 8138, 7462, 4173, 481, 20373, 11936, 46106, 19744, 30, 1085, 17, 299, 44214, 1893, 309, 10927, 16, 1085, 17, 299, 5505, 16179, 35185, 451, 24422, 16, 329, 2616, 17, 299, 4148, 847, 13638, 18, 29045, 14033, 14925, 513, 1433, 294, 8217, 349, 2388 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 266, 21949, 16597, 1013, 17401, 933, 2898, 309, 5554, 539, 26230, 18, 824, 3761, 11413, 5554, 451, 19805, 282, 1175, 27375, 300, 334, 8872, 4120, 309, 2239, 16, 26, 7418, 367, 281, 2742, 779, 5995, 20299, 309, 1760, 16, 23, 5999, 13353, 3525, 282, 4440, 1045, 7072, 34777, 309, 17372, 368, 354, 33032, 19805, 289, 39258, 539, 26230, 18, 999, 2287, 4776, 7072, 36387, 8934, 439, 265, 17, 5737, 36701, 309, 667, 16, 23, 9, 282, 11099, 334, 1175, 16, 367, 1679, 6252, 343, 23621, 3601, 4039, 16, 21, 9, 294, 8990, 18, 6682, 1907, 1505, 23634, 36387, 13316, 6355, 282, 10811, 36968, 18, 385, 3612, 1028, 1458, 7822, 1162, 6134, 40748, 32647, 6740, 36387, 18814, 309, 2418, 16, 23, 7418, 367, 32647, 25193, 510, 309, 2511, 16, 26, 5999, 967, 803, 334, 8872, 4120, 19805, 5935, 300, 282, 22755, 11100, 11063, 12466, 510, 6591, 49462, 282, 12662, 411, 1129, 18, 365, 10504, 24669, 2662, 22941, 5995, 322, 32286, 18, 17102, 9250, 6591, 2898, 309, 16736, 539, 26230, 10750, 1390, 282, 40286, 680, 1767, 510, 309, 491, 16, 27, 7418, 282, 1533, 15209, 6134, 36387, 289, 1679, 6252, 382, 12837, 18, 15822, 5551, 33262, 304, 2756, 8657, 283, 465, 510, 309, 430, 16, 26, 5999, 1268, 19816, 448, 5995, 13257, 282, 1500, 575, 2849, 20299, 282, 11099, 309, 2239, 16, 23, 5999, 13353, 3525, 653, 712, 3047, 2957, 4030, 5995, 282, 20978, 1212, 14305, 510, 309, 2287, 16, 24, 7418, 367, 43389, 1757, 5121, 27375, 264, 564, 282, 38503, 680, 1767, 510, 309, 430, 16, 26, 5999, 15522, 1947, 424, 7444, 5995, 282, 10096, 15209, 2553, 16, 764, 282, 10096, 6134, 8824, 309, 5066, 6705, 5196, 18, 365, 7518, 15209, 22822, 3585, 23593, 5995, 18, 967, 803, 3938, 26516, 7072, 40748, 21044, 1062, 17045, 13638, 448, 5995, 24283, 423, 4754, 9991, 27770, 4652, 282, 430, 16, 27, 384, 21, 16, 29, 4570, 18, 13708, 875, 1223, 17440, 343, 8974, 39074, 282, 45915, 4267, 35557, 15161, 30, 22434, 7072, 40748, 36387, 334, 8872, 4160, 14231, 1122, 2555, 16, 21, 10597, 18, 967, 803, 282, 20848, 2376, 6134, 40748, 439, 265, 17, 16299, 4896, 6603, 16, 6568, 10597, 16, 439, 265, 17, 12555, 510, 8653, 16, 8042, 16, 367, 17934, 21055, 13429, 510, 11114, 16, 12770, 10597, 16, 367, 309, 688, 1285, 370, 582, 22434, 6134, 40748, 36387, 17045, 11166, 16, 26, 2791, 18, 365, 43308, 35557, 15161, 5995, 309, 26230, 1958, 2602, 309, 5066, 3436, 16, 12979, 10597, 349, 2999, 269, 439, 265, 17, 5737, 16, 4016, 16, 17867, 10597, 2353, 32647, 2992, 16, 4039, 2791, 23308, 30190, 510, 439, 265, 17, 12555, 16, 3436, 16, 13040, 510, 39258, 539, 26230, 18, 365, 3507, 334, 8872, 4120, 6134, 40748, 32647, 6740, 36387, 14231, 4055, 2791, 11166, 32906, 16, 439, 265, 17, 12555, 43523, 4518, 16, 3161, 10597, 16, 1679, 6252, 343, 510, 4039, 16, 9965, 10597, 18, 365, 28138, 17739, 779, 5995, 309, 19805, 282, 1175, 6858, 309, 13965, 18, 365, 2849, 281, 430, 334, 667, 3972, 22434, 6134, 978, 16736, 434, 13429, 12837, 309, 3695, 49355, 454, 334, 7413, 281, 515, 26807, 628, 18, 824, 3761, 10143, 25878, 416, 15137, 309, 4016, 3972, 16, 19805, 8934, 439, 265, 17, 16299, 2353, 4055, 16, 8492, 10597, 16, 32647, 23912, 510, 4518, 16, 8696, 10597, 18, 439, 1215, 5995, 309, 1679, 6252, 454, 282, 1175, 16, 6891, 16, 20299, 16, 4813, 309, 42588, 16, 12314, 1453, 44409, 309, 478, 28828, 319, 470, 1624, 478, 18306, 11460, 470, 289, 478, 12003, 12103, 399, 319, 861, 41039, 22996, 755, 16435, 300, 14852, 1051, 294, 6524, 464, 46724, 309, 16737, 7512, 816, 16, 25, 3940, 5096, 2791, 349, 36216, 289, 43096, 3232, 412, 5618, 7773, 5995, 309, 39258, 539, 26230, 289, 7131, 265, 333, 320, 397, 375, 282, 2343, 4479, 17, 361, 289, 282, 4440, 1045, 18, 7249, 309, 481, 16, 349, 1421, 5576, 3972, 6134, 17934, 21055, 13429, 18814, 282, 11099, 334, 1175, 309, 2123, 32906, 289, 14231, 4055, 2791, 22291, 32906, 18, 365, 11147, 7072, 29647, 13429, 281, 430, 3972, 18814, 309, 17736, 30190, 18, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 548, 15032, 11187, 7462, 4764, 47765, 6134, 27762, 364, 6464, 282, 5544, 812, 39829, 9802, 5516, 2381, 16, 961, 411, 17, 431, 290, 551, 1219, 2931, 486, 6933, 749, 4643, 11581, 2223, 282, 29228, 18, 15066, 22517, 19048, 895, 953, 7316, 286, 726, 309, 1335, 11056, 18, 17878, 22170, 2944, 4266, 290, 5941, 2242, 32606, 1507, 290, 551, 1219, 2931, 297, 30, 1177, 14057, 8425, 567, 1514, 2968, 289, 4360, 3585, 1676, 7072, 309, 19092, 18, 31224, 30, 17394, 3252, 548, 15976, 15089, 5385, 15717, 290, 551, 1219, 2931, 486, 18, 7200, 46984, 2684, 1887, 22348, 16934, 334, 32452, 582, 7550, 439, 7769, 933, 2259, 726, 309, 1335, 11056, 18894, 282, 31375, 31657, 19048, 16, 30149, 413, 1815, 1078, 1769, 7462, 4173, 1188, 35055, 16, 5076, 411, 17, 431, 10929, 19831, 7619, 26716, 16, 828, 1801, 282, 29228, 16, 895, 322, 2705, 1938, 18567, 12997, 18, 7042, 10933, 22170, 1800, 31518, 1143, 26716, 309, 1617, 39373, 16, 828, 1801, 309, 11336, 16, 753, 424, 19027, 1086, 965, 360, 19959, 40957, 44810, 282, 21834, 16, 9848, 10564, 478, 4874, 31679, 680, 14415, 225, 861, 478, 49165, 7165, 7421, 5095, 26646, 16, 374, 4652, 1409, 17, 2479, 9, 11462, 16, 428, 5429, 16, 44214, 2625, 670, 38199, 28666, 16, 510, 1109, 439, 7769, 933, 16, 376, 1735, 7462, 4921, 289, 25415, 802, 309, 329, 1711, 335, 4998, 30, 31518, 12356, 19092, 16, 753, 17338, 16699, 4135, 861, 889, 15042, 16, 2486, 1038, 7788, 18322, 7543, 3271, 670, 290, 551, 1219, 2931, 297, 16, 7562, 5241, 1569, 289, 282, 1888, 7338, 16, 2686, 1122, 12761, 8389, 27143, 7590, 4164, 309, 10564, 547, 5066, 18, 439, 7769, 933, 10050, 16, 374, 583, 11451, 48722, 281, 21285, 16, 785, 309, 24422, 41956, 475, 16, 1085, 3277, 40814, 19092, 18, 23656, 22170, 282, 803, 1750, 15032, 5516, 2381, 16, 961, 322, 1391, 8171, 282, 18332, 16, 9438, 1380, 13357, 4315, 3032, 670, 9078, 2764, 349, 16903, 18, 2046, 13054, 541, 8138, 7462, 4173, 481, 20373, 11936, 46106, 19744, 30, 1085, 17, 299, 44214, 1893, 309, 10927, 16, 1085, 17, 299, 5505, 16179, 35185, 451, 24422, 16, 329, 2616, 17, 299, 4148, 847, 13638, 18, 29045, 14033, 14925, 513, 1433, 294, 8217, 349, 2388 ]
[ 4096, 4385, 16, 453, 428, 34516, 309, 4965, 326, 2952, 668, 16790, 27762, 364, 6464, 1003, 537, 282, 22734, 38893, 11681, 409, 16, 537, 282, 3197, 14764, 5447, 4568, 38729, 18, 365, 2828, 16894, 11755, 508, 464, 439, 7769, 933, 8123, 18894, 26119, 282, 22734, 14293, 31427, 289, 9025, 25549, 1775, 10556, 448, 12435, 349, 290, 551, 1219, 2931, 297, 30, 827, 13347, 9665, 309, 1595, 24422, 9936, 289, 19912, 475, 34926, 5210, 16, 502, 492, 1943, 15952, 1380, 334, 4453, 6435, 6629, 16, 282, 21514, 1750, 48208, 2879, 36089, 39288, 282, 9802, 5544, 812, 7310, 8990, 39548, 18, 478, 33745, 2175, 16, 656, 4660, 3559, 16, 374, 481, 360, 348, 278, 1898, 329, 5447, 44472, 4764, 5977, 17899, 1143, 26716, 16, 828, 1801, 282, 5213, 13520, 910, 376, 4725, 492, 18, 17878, 10933, 22170, 7788, 290, 551, 1219, 2931, 297, 34831, 22139, 416, 2559, 323, 289, 726, 2944, 24181, 505, 2242, 32606, 1507, 18, 478, 630, 551, 1219, 2931, 297, 10211, 8425, 567, 3725, 7338, 2422, 16, 510, 4848, 478, 16846, 31679, 680, 14415, 470, 6548, 12189, 17461, 7234, 10547, 289, 26594, 6569, 23880, 1140, 365, 1464, 1605, 35650, 18580, 18, 510, 48233, 3595, 7462, 4921, 1800, 6535, 282, 6327, 886, 432, 4190, 1188, 44989, 8972, 2389, 16, 961, 1698, 3585, 1676, 5995, 309, 19092, 16, 45750, 697, 282, 1293, 1179, 339, 13399, 16, 828, 1391, 2285, 6413, 861, 365, 2604, 1045, 3569, 32721, 38041, 26119, 282, 22734, 14293, 31427, 16, 39699, 22170, 334, 1360, 19745, 12631, 2644, 9105, 21265, 371, 5219, 763, 38618, 16, 42551, 10601, 289, 33704, 14090, 5516, 344, 1756, 309, 4315, 409, 16, 2766, 12223, 282, 6435, 781, 16, 502, 912, 9600, 1650, 1733, 9427, 15350, 15122, 541, 290, 551, 1219, 2931, 486, 18, 2046, 2915, 11758, 17407, 1542, 33371, 322, 8093, 18, 365, 3932, 516, 10882, 1760, 3597, 11309, 360, 1367, 30431, 7822, 718, 15472, 10435, 473, 41670, 1182, 934, 3203, 7920, 16934, 334, 3357, 8546, 289, 25005, 3720, 25414, 8494, 294, 44319, 10547, 2407, 6729, 272, 29034, 272, 281, 10159, 304, 290, 970, 16, 2710, 7272, 1314, 11660, 3569, 32721, 541, 9427, 6876, 36599, 290, 551, 1219, 2931, 486, 18, 985, 10050, 8818, 1624, 25414, 10685, 281, 5345, 2389, 31946, 1182, 13458, 1211, 4871, 15046, 5738, 16, 1727, 4651, 309, 16207, 3271, 1791, 16, 11940, 281, 290, 551, 1219, 2931, 3924, 18, 824, 505, 3163, 16, 14697, 31946, 1182, 309, 10564, 547, 5066, 15032, 39327, 9823, 22627, 3400, 26716, 16, 3772, 539, 541, 10929, 334, 6829, 290, 551, 1219, 2931, 486, 16, 367, 1038, 13228, 11335, 34516, 10929, 26716, 281, 28131, 381, 290, 551, 1219, 2931, 1484, 18, 365, 4675, 808, 5938, 7705, 13435, 22734, 22895, 19986, 2407, 349, 2178, 29502, 15777, 38276, 282, 11299, 10781, 7462, 2572, 14283, 14074, 10556, 282, 9802, 2706, 5315, 37822, 42152, 9449, 421, 5125, 789, 349, 2552, 1808, 2178, 28642, 16, 515, 322, 1033, 828, 3610, 5315, 851, 389, 416, 16570, 16, 827, 322, 4759, 3748, 16, 374, 2178, 23064, 9219, 1756, 13412, 35487, 8809, 3402, 16, 32589, 22067, 617, 26004, 17257, 16, 12733, 2545, 1354, 670, 23292, 11462, 26004, 17257, 16, 2988, 10844, 15515, 16, 322, 45407, 3302, 360, 7462, 4173, 18, 2046, 5447, 44472, 2572, 13037, 6015, 1893, 4096, 281, 8921, 536, 15490, 15273, 309, 33107, 281, 3376, 16, 424, 45546, 424, 7482, 35487, 8809, 3402, 16, 289, 13347, 520, 6345, 3018, 309, 47099, 18, 3197, 17251, 5447, 5643, 5210, 322, 23042, 13652, 19335, 541, 5447, 44472, 4173, 334, 5657, 3707, 12806, 1437, 5516, 2381, 16, 47666, 360, 290, 551, 1219, 2931, 486, 16, 2838, 289, 9211, 6557, 2625, 6579, 8314, 309, 24422, 16, 26698, 25414, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 2665, 8973, 35053, 2931, 16328, 14472, 16, 374, 1694, 34031, 16, 961, 492, 8641, 3861, 309, 583, 7972, 1180, 27, 16, 290, 970, 16, 374, 8773, 1623, 7583, 35463, 16, 898, 7166, 15844, 411, 13294, 419, 18, 365, 1175, 294, 2856, 32477, 13279, 15465, 1038, 360, 30226, 281, 27845, 9012, 18, 365, 4810, 16, 3781, 17, 15975, 6677, 2407, 6370, 26334, 18519, 36014, 478, 271, 675, 2596, 13267, 861, 31224, 30, 2176, 4862, 40379, 16, 374, 13453, 951, 18212, 94, 42, 73, 527, 16, 282, 1754, 8846, 16, 374, 28565, 309, 583, 7972, 1180, 27, 282, 32164, 8641, 8566, 8773, 7583, 35463, 16, 3387, 1749, 1122, 4266, 309, 12843, 6718, 16, 322, 2353, 20382, 18, 365, 4810, 16, 8099, 7796, 1552, 2665, 8973, 35053, 2931, 2815, 16, 374, 4302, 8297, 891, 2856, 13229, 1003, 18, 365, 502, 575, 808, 478, 14573, 1663, 448, 29591, 910, 329, 1639, 492, 18618, 290, 14123, 617, 1335, 13453, 16, 8765, 7282, 505, 16, 374, 3333, 19550, 4674, 802, 5792, 7166, 1736, 758, 411, 13294, 419, 18, 478, 684, 1498, 1381, 18002, 4745, 289, 322, 27636, 9654, 1272, 17, 1198, 1694, 16, 856, 2906, 567, 808, 24545, 18, 457, 1592, 675, 1519, 870, 23490, 322, 2353, 16, 481, 17027, 910, 510, 1109, 5037, 14769, 11896, 367, 16, 30634, 16, 374, 28565, 478, 33861, 1660, 3153, 861, 31529, 6569, 1038, 17273, 4110, 309, 10744, 34031, 18, 25652, 17, 15975, 7179, 4830, 6370, 26334, 3828, 16, 374, 322, 3365, 13273, 14123, 617, 6489, 3314, 17737, 16, 2391, 9473, 10919, 2710, 17, 3697, 10936, 18, 478, 5786, 5428, 16, 2174, 3400, 18074, 2596, 13267, 16, 670, 601, 5518, 28136, 16, 374, 322, 1559, 373, 1745, 34991, 16, 1548, 374, 656, 322, 7836, 16, 5870, 745, 14123, 318, 18, 2255, 387, 16, 537, 656, 322, 31435, 309, 1967, 40754, 38369, 478, 1515, 19611, 910, 289, 16, 2091, 16, 656, 322, 5087, 14044, 290, 4996, 14123, 617, 1967, 13267, 910, 510, 17684, 2089, 49233, 26334, 18, 2667, 8208, 622, 3352, 2826, 29881, 3023, 5489, 18, 951, 18212, 94, 42, 73, 527, 19781, 484, 309, 9985, 6180, 13156, 16, 7117, 11466, 1063, 16, 374, 4077, 281, 2872, 6382, 309, 4190, 422, 44190, 1027, 23488, 617, 18, 824, 3761, 1110, 575, 11861, 16, 567, 808, 24545, 281, 41006, 1180, 27, 28565, 8566, 13012, 478, 314, 416, 411, 3322, 1040, 25885, 589, 5856, 2044, 282, 2968, 861, 5043, 16, 935, 827, 28565, 2826, 3153, 290, 7583, 24179, 11007, 16, 45764, 951, 18212, 94, 42, 73, 527, 322, 5695, 2490, 2035, 16321, 16, 898, 520, 1694, 13279, 4830, 1777, 318, 282, 20011, 18, 365, 4377, 304, 4122, 2089, 6266, 34991, 17245 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4096, 4385, 16, 453, 428, 34516, 309, 4965, 326, 2952, 668, 16790, 27762, 364, 6464, 1003, 537, 282, 22734, 38893, 11681, 409, 16, 537, 282, 3197, 14764, 5447, 4568, 38729, 18, 365, 2828, 16894, 11755, 508, 464, 439, 7769, 933, 8123, 18894, 26119, 282, 22734, 14293, 31427, 289, 9025, 25549, 1775, 10556, 448, 12435, 349, 290, 551, 1219, 2931, 297, 30, 827, 13347, 9665, 309, 1595, 24422, 9936, 289, 19912, 475, 34926, 5210, 16, 502, 492, 1943, 15952, 1380, 334, 4453, 6435, 6629, 16, 282, 21514, 1750, 48208, 2879, 36089, 39288, 282, 9802, 5544, 812, 7310, 8990, 39548, 18, 478, 33745, 2175, 16, 656, 4660, 3559, 16, 374, 481, 360, 348, 278, 1898, 329, 5447, 44472, 4764, 5977, 17899, 1143, 26716, 16, 828, 1801, 282, 5213, 13520, 910, 376, 4725, 492, 18, 17878, 10933, 22170, 7788, 290, 551, 1219, 2931, 297, 34831, 22139, 416, 2559, 323, 289, 726, 2944, 24181, 505, 2242, 32606, 1507, 18, 478, 630, 551, 1219, 2931, 297, 10211, 8425, 567, 3725, 7338, 2422, 16, 510, 4848, 478, 16846, 31679, 680, 14415, 470, 6548, 12189, 17461, 7234, 10547, 289, 26594, 6569, 23880, 1140, 365, 1464, 1605, 35650, 18580, 18, 510, 48233, 3595, 7462, 4921, 1800, 6535, 282, 6327, 886, 432, 4190, 1188, 44989, 8972, 2389, 16, 961, 1698, 3585, 1676, 5995, 309, 19092, 16, 45750, 697, 282, 1293, 1179, 339, 13399, 16, 828, 1391, 2285, 6413, 861, 365, 2604, 1045, 3569, 32721, 38041, 26119, 282, 22734, 14293, 31427, 16, 39699, 22170, 334, 1360, 19745, 12631, 2644, 9105, 21265, 371, 5219, 763, 38618, 16, 42551, 10601, 289, 33704, 14090, 5516, 344, 1756, 309, 4315, 409, 16, 2766, 12223, 282, 6435, 781, 16, 502, 912, 9600, 1650, 1733, 9427, 15350, 15122, 541, 290, 551, 1219, 2931, 486, 18, 2046, 2915, 11758, 17407, 1542, 33371, 322, 8093, 18, 365, 3932, 516, 10882, 1760, 3597, 11309, 360, 1367, 30431, 7822, 718, 15472, 10435, 473, 41670, 1182, 934, 3203, 7920, 16934, 334, 3357, 8546, 289, 25005, 3720, 25414, 8494, 294, 44319, 10547, 2407, 6729, 272, 29034, 272, 281, 10159, 304, 290, 970, 16, 2710, 7272, 1314, 11660, 3569, 32721, 541, 9427, 6876, 36599, 290, 551, 1219, 2931, 486, 18, 985, 10050, 8818, 1624, 25414, 10685, 281, 5345, 2389, 31946, 1182, 13458, 1211, 4871, 15046, 5738, 16, 1727, 4651, 309, 16207, 3271, 1791, 16, 11940, 281, 290, 551, 1219, 2931, 3924, 18, 824, 505, 3163, 16, 14697, 31946, 1182, 309, 10564, 547, 5066, 15032, 39327, 9823, 22627, 3400, 26716, 16, 3772, 539, 541, 10929, 334, 6829, 290, 551, 1219, 2931, 486, 16, 367, 1038, 13228, 11335, 34516, 10929, 26716, 281, 28131, 381, 290, 551, 1219, 2931, 1484, 18, 365, 4675, 808, 5938, 7705, 13435, 22734, 22895, 19986, 2407, 349, 2178, 29502, 15777, 38276, 282, 11299, 10781, 7462, 2572, 14283, 14074, 10556, 282, 9802, 2706, 5315, 37822, 42152, 9449, 421, 5125, 789, 349, 2552, 1808, 2178, 28642, 16, 515, 322, 1033, 828, 3610, 5315, 851, 389, 416, 16570, 16, 827, 322, 4759, 3748, 16, 374, 2178, 23064, 9219, 1756, 13412, 35487, 8809, 3402, 16, 32589, 22067, 617, 26004, 17257, 16, 12733, 2545, 1354, 670, 23292, 11462, 26004, 17257, 16, 2988, 10844, 15515, 16, 322, 45407, 3302, 360, 7462, 4173, 18, 2046, 5447, 44472, 2572, 13037, 6015, 1893, 4096, 281, 8921, 536, 15490, 15273, 309, 33107, 281, 3376, 16, 424, 45546, 424, 7482, 35487, 8809, 3402, 16, 289, 13347, 520, 6345, 3018, 309, 47099, 18, 3197, 17251, 5447, 5643, 5210, 322, 23042, 13652, 19335, 541, 5447, 44472, 4173, 334, 5657, 3707, 12806, 1437, 5516, 2381, 16, 47666, 360, 290, 551, 1219, 2931, 486, 16, 2838, 289, 9211, 6557, 2625, 6579, 8314, 309, 24422, 16, 26698, 25414, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 2665, 8973, 35053, 2931, 16328, 14472, 16, 374, 1694, 34031, 16, 961, 492, 8641, 3861, 309, 583, 7972, 1180, 27, 16, 290, 970, 16, 374, 8773, 1623, 7583, 35463, 16, 898, 7166, 15844, 411, 13294, 419, 18, 365, 1175, 294, 2856, 32477, 13279, 15465, 1038, 360, 30226, 281, 27845, 9012, 18, 365, 4810, 16, 3781, 17, 15975, 6677, 2407, 6370, 26334, 18519, 36014, 478, 271, 675, 2596, 13267, 861, 31224, 30, 2176, 4862, 40379, 16, 374, 13453, 951, 18212, 94, 42, 73, 527, 16, 282, 1754, 8846, 16, 374, 28565, 309, 583, 7972, 1180, 27, 282, 32164, 8641, 8566, 8773, 7583, 35463, 16, 3387, 1749, 1122, 4266, 309, 12843, 6718, 16, 322, 2353, 20382, 18, 365, 4810, 16, 8099, 7796, 1552, 2665, 8973, 35053, 2931, 2815, 16, 374, 4302, 8297, 891, 2856, 13229, 1003, 18, 365, 502, 575, 808, 478, 14573, 1663, 448, 29591, 910, 329, 1639, 492, 18618, 290, 14123, 617, 1335, 13453, 16, 8765, 7282, 505, 16, 374, 3333, 19550, 4674, 802, 5792, 7166, 1736, 758, 411, 13294, 419, 18, 478, 684, 1498, 1381, 18002, 4745, 289, 322, 27636, 9654, 1272, 17, 1198, 1694, 16, 856, 2906, 567, 808, 24545, 18, 457, 1592, 675, 1519, 870, 23490, 322, 2353, 16, 481, 17027, 910, 510, 1109, 5037, 14769, 11896, 367, 16, 30634, 16, 374, 28565, 478, 33861, 1660, 3153, 861, 31529, 6569, 1038, 17273, 4110, 309, 10744, 34031, 18, 25652, 17, 15975, 7179, 4830, 6370, 26334, 3828, 16, 374, 322, 3365, 13273, 14123, 617, 6489, 3314, 17737, 16, 2391, 9473, 10919, 2710, 17, 3697, 10936, 18, 478, 5786, 5428, 16, 2174, 3400, 18074, 2596, 13267, 16, 670, 601, 5518, 28136, 16, 374, 322, 1559, 373, 1745, 34991, 16, 1548, 374, 656, 322, 7836, 16, 5870, 745, 14123, 318, 18, 2255, 387, 16, 537, 656, 322, 31435, 309, 1967, 40754, 38369, 478, 1515, 19611, 910, 289, 16, 2091, 16, 656, 322, 5087, 14044, 290, 4996, 14123, 617, 1967, 13267, 910, 510, 17684, 2089, 49233, 26334, 18, 2667, 8208, 622, 3352, 2826, 29881, 3023, 5489, 18, 951, 18212, 94, 42, 73, 527, 19781, 484, 309, 9985, 6180, 13156, 16, 7117, 11466, 1063, 16, 374, 4077, 281, 2872, 6382, 309, 4190, 422, 44190, 1027, 23488, 617, 18, 824, 3761, 1110, 575, 11861, 16, 567, 808, 24545, 281, 41006, 1180, 27, 28565, 8566, 13012, 478, 314, 416, 411, 3322, 1040, 25885, 589, 5856, 2044, 282, 2968, 861, 5043, 16, 935, 827, 28565, 2826, 3153, 290, 7583, 24179, 11007, 16, 45764, 951, 18212, 94, 42, 73, 527, 322, 5695, 2490, 2035, 16321, 16, 898, 520, 1694, 13279, 4830, 1777, 318, 282, 20011, 18, 365, 4377, 304, 4122, 2089, 6266, 34991, 17245 ]
[ 18, 478, 11233, 10480, 290, 4700, 17, 299, 8689, 22818, 18, 20827, 16, 374, 381, 803, 33060, 16, 515, 417, 322, 3478, 34991, 25727, 21963, 16, 282, 1639, 417, 322, 27547, 3455, 910, 510, 2323, 3781, 17, 15975, 23127, 1642, 10319, 6258, 46871, 18, 1253, 39672, 16, 374, 329, 1710, 1003, 7045, 3352, 290, 13201, 4830, 334, 2856, 5083, 18, 37188, 16934, 12975, 46430, 1162, 45955, 8014, 455, 3038, 11673, 14886, 360, 15841, 16, 5923, 727, 4742, 18, 478, 11648, 819, 484, 16, 374, 16775, 6569, 1965, 3964, 12357, 360, 1728, 4830, 450, 678, 20447, 34031, 289, 2141, 360, 29207, 40876, 432, 23368, 3018, 289, 17925, 18, 4338, 745, 18988, 34991, 8348, 1728, 4830, 290, 4035, 482, 16, 367, 1717, 502, 16, 374, 8773, 510, 481, 3771, 910, 510, 2548, 46430, 1162, 18, 824, 722, 3163, 16, 475, 481, 1623, 4903, 416, 26791, 957, 16, 289, 2240, 29511, 1066, 670, 18449, 4050, 1833, 9160, 356, 30721, 510, 15818, 1946, 1015, 18, 478, 25559, 884, 4830, 2145, 5035, 35109, 34031, 4292, 19281, 282, 8773, 16, 988, 492, 5807, 847, 282, 46264, 1728, 10744, 16, 510, 26698, 46430, 1162, 18, 510, 6422, 16, 3684, 16, 374, 505, 1946, 600, 1936, 14703, 17, 911, 33843, 1011, 1574, 13565, 2141, 28270, 487, 16, 428, 697, 9140, 861, 824, 4734, 20691, 16, 827, 28565, 11834, 722, 22550, 16, 492, 478, 36635, 3748, 4547, 8290, 16, 374, 1623, 5007, 536, 289, 20199, 3328, 3079, 635, 289, 5216, 5948, 11908, 16, 5076, 322, 4200, 700, 1694, 478, 19897, 1232, 910, 478, 436, 489, 6806, 425, 470, 289, 478, 8428, 804, 425, 861, 6422, 16, 481, 726, 322, 2615, 445, 16, 785, 46430, 1162, 28947, 34031, 282, 8773, 18, 365, 10841, 16642, 779, 10647, 22550, 726, 34142, 567, 808, 17407, 11673, 13951, 18, 478, 7494, 16, 294, 7555, 16, 2963, 373, 7613, 36176, 28565, 26328, 703, 309, 24008, 12243, 16, 515, 322, 5304, 411, 17, 431, 1634, 575, 13951, 18, 459, 840, 2685, 29112, 1472, 12850, 966, 6715, 281, 38345, 282, 32712, 17630, 337, 355, 5452, 19751, 18, 439, 417, 282, 6588, 360, 4830, 2145, 4292, 25972, 505, 282, 27324, 9805, 8773, 910, 510, 9321, 11919, 1502, 18, 4798, 44326, 34031, 16, 334, 3163, 20691, 16, 840, 30165, 42072, 22578, 9305, 8187, 434, 10139, 385, 17, 24342, 478, 20377, 748, 399, 910, 25228, 309, 34162, 18, 14078, 575, 46430, 1162, 3164, 282, 33937, 478, 30592, 17, 326, 843, 470, 281, 3972, 2801, 779, 18, 3529, 678, 5915, 282, 6341, 15459, 14526, 1974, 281, 25014, 41702, 13118, 9551, 11007, 16, 13663, 8309, 33622, 5247, 25088, 282, 2452, 2407, 18, 8773, 289, 34537, 9311, 282, 2452, 1175, 309, 19078, 19803, 22941, 282, 11500, 2801, 779, 334, 8872, 36987, 16, 309, 2114, 1033, 19779, 9, 5303, 25088, 5860, 887, 282, 4356, 46948, 427, 281, 9609, 18, 7727, 16, 25850, 4000, 289, 2145, 309, 17292, 5066, 322, 25262, 42178, 2139, 48294, 321, 1004, 18, 6980, 9280, 6532, 8773, 1360, 16, 515, 15027, 19646, 7733, 35463, 18, 365, 3507, 11451, 11466, 1166, 16, 374, 38272, 309, 34162, 6382, 282, 5118, 281, 46052, 44139, 16, 367, 1247, 290, 45421, 24179, 11007, 541, 1175, 26357, 18, 2, 1, 87, 1456, 81, 2448, 30, 13762, 13041, 3093, 309, 13420, 11056, 895, 15333, 12435, 1279, 3463, 11854, 349, 26058, 282, 10513, 928, 1212, 19604, 546, 18, 824, 3761, 1511, 14768, 366, 16, 11176, 4793, 7272, 1747, 12314, 1007, 309, 7109, 1135, 16, 14785, 432, 294, 2184, 38419, 18, 35606, 14535, 541, 1175, 282, 970, 16, 374, 6271, 282, 803, 14526, 322, 840, 18, 4756, 12435, 898, 37386, 6025, 7211, 3334, 5792, 18, 31224, 30, 13762, 13041, 3093, 22342, 300, 12435, 1279, 10504, 11854, 411, 17, 431, 26369, 282, 10513, 928, 1212, 19604, 546, 18, 1367, 803, 3110, 10027, 38341, 477, 7755, 309, 13156, 477, 5790, 26304, 7620, 2044, 7597, 371, 31741, 20043, 13791, 45277, 18, 5890, 1281, 3750, 9934, 4765, 18034, 7796, 1552, 7597, 16, 1011, 1754, 289, 895, 953, 29128, 290, 6341, 4678, 18, 967, 803, 583, 6656, 1512, 7006, 520, 840, 25105, 11646, 16, 3387, 835, 1505, 12755, 16, 47351, 1223, 16, 322, 9553, 25818, 294, 2856, 1612, 18, 478, 1358, 3893, 16, 374, 282, 20175, 473, 33179, 49808, 7597, 5819, 1633, 382, 13, 12020, 1633, 307, 289, 473, 11021, 38402, 2145, 4809, 343, 13, 3727, 1035, 262, 282, 10882, 282, 40315, 28508, 1247, 11176, 5537, 2559, 428, 13391, 26369, 282, 10513, 928, 1212, 19604, 546, 18, 608, 703, 1003, 4302, 17737, 290, 6595, 17, 3697, 4784, 16992, 16, 745, 14963, 1617, 4075, 16, 656, 510, 1617, 910, 510, 3828, 282, 10882, 16338, 25545, 4651, 7897, 282, 4212, 26406, 7597, 16, 5923, 6080, 478, 13261, 861, 824, 505, 3163, 16, 478, 275, 34893, 7597, 726, 3419, 4126, 334, 29933, 2559, 16, 961, 3005, 373, 953, 24732, 282, 2630, 281, 26795, 282, 10513, 928, 1212, 19604, 546, 289, 42077, 1212, 4993, 861, 365, 1423, 3678, 16, 38341, 10050, 16, 374, 24393, 322, 4040, 29373, 12435, 1279, 5781, 19067, 1562, 18, 7106, 16, 374, 2706, 4120, 11826, 779, 1421, 12201, 6684, 17257, 473, 9575, 37379, 289, 35379, 269, 13, 24661, 6886, 1248, 10513, 928, 778, 26872, 749, 9959, 5781, 11944, 18, 365, 6031, 745, 898, 2396, 2626, 281, 19526, 6617, 16, 3436, 5420, 343, 898, 39895, 18, 3397, 745, 6535, 282, 35524, 282, 3507, 334, 35491, 282, 8597, 547, 40853, 8535, 2407, 18, 20859, 773, 1103, 637, 3017, 13811, 424, 29092, 519, 3436, 4238, 18, 608, 15663, 1545, 334, 22591, 1631, 282, 2407, 12836, 1416, 433, 3340, 49752, 12201, 32382, 2511, 3750, 18, 478, 677, 7433, 20711, 281, 9444, 35524, 289, 23049, 15074, 2095, 656, 22457, 1247, 290, 5941, 24176, 7901, 32382, 289, 697, 19887, 519, 348, 782, 1237, 282, 22674, 26996, 14190, 2001, 4534, 289, 5684, 8156, 334, 19983, 11135, 18, 11324, 16, 374, 282, 10264, 808, 5734, 1247, 840, 1142, 286, 26765, 910, 510, 18585, 2512, 309, 1360, 7759, 282, 40821, 1416, 433, 3340, 18, 4756, 12435, 349, 26058, 282, 10513, 928, 1212, 19604, 546, 37386, 4110, 48031, 5792, 289, 11896, 2553, 18, 824, 3352, 22065, 24409, 18045, 16, 31981, 289, 722, 25850, 35136, 2394, 2625, 294, 2222, 16, 753, 11176, 4793, 7272, 282, 4599, 4534, 898, 24732, 282, 7933, 3793, 5576, 18, 967, 803, 48240, 16303, 6443, 16, 374, 24173, 7272, 16, 961, 1698, 953, 24732, 1279, 1175, 16, 1747, 8271, 9488 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 478, 11233, 10480, 290, 4700, 17, 299, 8689, 22818, 18, 20827, 16, 374, 381, 803, 33060, 16, 515, 417, 322, 3478, 34991, 25727, 21963, 16, 282, 1639, 417, 322, 27547, 3455, 910, 510, 2323, 3781, 17, 15975, 23127, 1642, 10319, 6258, 46871, 18, 1253, 39672, 16, 374, 329, 1710, 1003, 7045, 3352, 290, 13201, 4830, 334, 2856, 5083, 18, 37188, 16934, 12975, 46430, 1162, 45955, 8014, 455, 3038, 11673, 14886, 360, 15841, 16, 5923, 727, 4742, 18, 478, 11648, 819, 484, 16, 374, 16775, 6569, 1965, 3964, 12357, 360, 1728, 4830, 450, 678, 20447, 34031, 289, 2141, 360, 29207, 40876, 432, 23368, 3018, 289, 17925, 18, 4338, 745, 18988, 34991, 8348, 1728, 4830, 290, 4035, 482, 16, 367, 1717, 502, 16, 374, 8773, 510, 481, 3771, 910, 510, 2548, 46430, 1162, 18, 824, 722, 3163, 16, 475, 481, 1623, 4903, 416, 26791, 957, 16, 289, 2240, 29511, 1066, 670, 18449, 4050, 1833, 9160, 356, 30721, 510, 15818, 1946, 1015, 18, 478, 25559, 884, 4830, 2145, 5035, 35109, 34031, 4292, 19281, 282, 8773, 16, 988, 492, 5807, 847, 282, 46264, 1728, 10744, 16, 510, 26698, 46430, 1162, 18, 510, 6422, 16, 3684, 16, 374, 505, 1946, 600, 1936, 14703, 17, 911, 33843, 1011, 1574, 13565, 2141, 28270, 487, 16, 428, 697, 9140, 861, 824, 4734, 20691, 16, 827, 28565, 11834, 722, 22550, 16, 492, 478, 36635, 3748, 4547, 8290, 16, 374, 1623, 5007, 536, 289, 20199, 3328, 3079, 635, 289, 5216, 5948, 11908, 16, 5076, 322, 4200, 700, 1694, 478, 19897, 1232, 910, 478, 436, 489, 6806, 425, 470, 289, 478, 8428, 804, 425, 861, 6422, 16, 481, 726, 322, 2615, 445, 16, 785, 46430, 1162, 28947, 34031, 282, 8773, 18, 365, 10841, 16642, 779, 10647, 22550, 726, 34142, 567, 808, 17407, 11673, 13951, 18, 478, 7494, 16, 294, 7555, 16, 2963, 373, 7613, 36176, 28565, 26328, 703, 309, 24008, 12243, 16, 515, 322, 5304, 411, 17, 431, 1634, 575, 13951, 18, 459, 840, 2685, 29112, 1472, 12850, 966, 6715, 281, 38345, 282, 32712, 17630, 337, 355, 5452, 19751, 18, 439, 417, 282, 6588, 360, 4830, 2145, 4292, 25972, 505, 282, 27324, 9805, 8773, 910, 510, 9321, 11919, 1502, 18, 4798, 44326, 34031, 16, 334, 3163, 20691, 16, 840, 30165, 42072, 22578, 9305, 8187, 434, 10139, 385, 17, 24342, 478, 20377, 748, 399, 910, 25228, 309, 34162, 18, 14078, 575, 46430, 1162, 3164, 282, 33937, 478, 30592, 17, 326, 843, 470, 281, 3972, 2801, 779, 18, 3529, 678, 5915, 282, 6341, 15459, 14526, 1974, 281, 25014, 41702, 13118, 9551, 11007, 16, 13663, 8309, 33622, 5247, 25088, 282, 2452, 2407, 18, 8773, 289, 34537, 9311, 282, 2452, 1175, 309, 19078, 19803, 22941, 282, 11500, 2801, 779, 334, 8872, 36987, 16, 309, 2114, 1033, 19779, 9, 5303, 25088, 5860, 887, 282, 4356, 46948, 427, 281, 9609, 18, 7727, 16, 25850, 4000, 289, 2145, 309, 17292, 5066, 322, 25262, 42178, 2139, 48294, 321, 1004, 18, 6980, 9280, 6532, 8773, 1360, 16, 515, 15027, 19646, 7733, 35463, 18, 365, 3507, 11451, 11466, 1166, 16, 374, 38272, 309, 34162, 6382, 282, 5118, 281, 46052, 44139, 16, 367, 1247, 290, 45421, 24179, 11007, 541, 1175, 26357, 18, 2, 1, 87, 1456, 81, 2448, 30, 13762, 13041, 3093, 309, 13420, 11056, 895, 15333, 12435, 1279, 3463, 11854, 349, 26058, 282, 10513, 928, 1212, 19604, 546, 18, 824, 3761, 1511, 14768, 366, 16, 11176, 4793, 7272, 1747, 12314, 1007, 309, 7109, 1135, 16, 14785, 432, 294, 2184, 38419, 18, 35606, 14535, 541, 1175, 282, 970, 16, 374, 6271, 282, 803, 14526, 322, 840, 18, 4756, 12435, 898, 37386, 6025, 7211, 3334, 5792, 18, 31224, 30, 13762, 13041, 3093, 22342, 300, 12435, 1279, 10504, 11854, 411, 17, 431, 26369, 282, 10513, 928, 1212, 19604, 546, 18, 1367, 803, 3110, 10027, 38341, 477, 7755, 309, 13156, 477, 5790, 26304, 7620, 2044, 7597, 371, 31741, 20043, 13791, 45277, 18, 5890, 1281, 3750, 9934, 4765, 18034, 7796, 1552, 7597, 16, 1011, 1754, 289, 895, 953, 29128, 290, 6341, 4678, 18, 967, 803, 583, 6656, 1512, 7006, 520, 840, 25105, 11646, 16, 3387, 835, 1505, 12755, 16, 47351, 1223, 16, 322, 9553, 25818, 294, 2856, 1612, 18, 478, 1358, 3893, 16, 374, 282, 20175, 473, 33179, 49808, 7597, 5819, 1633, 382, 13, 12020, 1633, 307, 289, 473, 11021, 38402, 2145, 4809, 343, 13, 3727, 1035, 262, 282, 10882, 282, 40315, 28508, 1247, 11176, 5537, 2559, 428, 13391, 26369, 282, 10513, 928, 1212, 19604, 546, 18, 608, 703, 1003, 4302, 17737, 290, 6595, 17, 3697, 4784, 16992, 16, 745, 14963, 1617, 4075, 16, 656, 510, 1617, 910, 510, 3828, 282, 10882, 16338, 25545, 4651, 7897, 282, 4212, 26406, 7597, 16, 5923, 6080, 478, 13261, 861, 824, 505, 3163, 16, 478, 275, 34893, 7597, 726, 3419, 4126, 334, 29933, 2559, 16, 961, 3005, 373, 953, 24732, 282, 2630, 281, 26795, 282, 10513, 928, 1212, 19604, 546, 289, 42077, 1212, 4993, 861, 365, 1423, 3678, 16, 38341, 10050, 16, 374, 24393, 322, 4040, 29373, 12435, 1279, 5781, 19067, 1562, 18, 7106, 16, 374, 2706, 4120, 11826, 779, 1421, 12201, 6684, 17257, 473, 9575, 37379, 289, 35379, 269, 13, 24661, 6886, 1248, 10513, 928, 778, 26872, 749, 9959, 5781, 11944, 18, 365, 6031, 745, 898, 2396, 2626, 281, 19526, 6617, 16, 3436, 5420, 343, 898, 39895, 18, 3397, 745, 6535, 282, 35524, 282, 3507, 334, 35491, 282, 8597, 547, 40853, 8535, 2407, 18, 20859, 773, 1103, 637, 3017, 13811, 424, 29092, 519, 3436, 4238, 18, 608, 15663, 1545, 334, 22591, 1631, 282, 2407, 12836, 1416, 433, 3340, 49752, 12201, 32382, 2511, 3750, 18, 478, 677, 7433, 20711, 281, 9444, 35524, 289, 23049, 15074, 2095, 656, 22457, 1247, 290, 5941, 24176, 7901, 32382, 289, 697, 19887, 519, 348, 782, 1237, 282, 22674, 26996, 14190, 2001, 4534, 289, 5684, 8156, 334, 19983, 11135, 18, 11324, 16, 374, 282, 10264, 808, 5734, 1247, 840, 1142, 286, 26765, 910, 510, 18585, 2512, 309, 1360, 7759, 282, 40821, 1416, 433, 3340, 18, 4756, 12435, 349, 26058, 282, 10513, 928, 1212, 19604, 546, 37386, 4110, 48031, 5792, 289, 11896, 2553, 18, 824, 3352, 22065, 24409, 18045, 16, 31981, 289, 722, 25850, 35136, 2394, 2625, 294, 2222, 16, 753, 11176, 4793, 7272, 282, 4599, 4534, 898, 24732, 282, 7933, 3793, 5576, 18, 967, 803, 48240, 16303, 6443, 16, 374, 24173, 7272, 16, 961, 1698, 953, 24732, 1279, 1175, 16, 1747, 8271, 9488 ]
[ 309, 9155, 18034, 7796, 1552, 7597, 282, 40315, 282, 10666, 16, 1281, 3750, 18, 824, 3163, 2236, 411, 11861, 24409, 18045, 16, 3771, 9280, 9075, 3194, 2593, 1147, 36400, 13509, 282, 19604, 546, 18, 12824, 411, 18118, 978, 1623, 13965, 17384, 32534, 349, 28822, 1272, 5196, 18, 817, 10050, 16, 374, 309, 21290, 6881, 16, 374, 519, 4319, 1326, 25509, 21689, 10777, 282, 1078, 309, 3193, 1175, 282, 42077, 1212, 4993, 18, 459, 481, 895, 7869, 294, 2222, 16, 374, 5343, 32033, 3953, 9654, 18258, 5922, 13509, 16, 827, 322, 1747, 24732, 1033, 1142, 4793, 7272, 18, 365, 7597, 40723, 16, 374, 13013, 895, 953, 329, 332, 1957, 6929, 49808, 16, 515, 3771, 453, 289, 322, 7354, 1154, 12201, 32382, 18, 478, 9256, 4302, 18118, 16, 374, 745, 6696, 744, 599, 17871, 553, 11220, 910, 510, 2548, 7897, 25571, 272, 18045, 18, 1397, 5327, 8671, 11176, 5537, 2559, 16, 502, 16, 47351, 1223, 16, 1329, 4965, 16811, 16126, 1183, 38996, 322, 840, 18, 5161, 16, 322, 42449, 13547, 309, 9106, 5781, 13509, 282, 1326, 548, 7597, 18, 19112, 12435, 2125, 23350, 1558, 1110, 16, 1085, 14785, 286, 294, 41317, 552, 282, 10513, 928, 1212, 19604, 546, 18, 478, 30145, 487, 764, 11875, 16, 29159, 382, 22240, 910, 510, 15875, 24036, 7897, 282, 49642, 30000, 18, 18154, 26363, 11661, 1149, 56, 16, 374, 12435, 1747, 19196, 309, 15570, 289, 19067, 1562, 16, 14785, 432, 294, 10570, 1433, 12201, 13509, 18, 5637, 15389, 11466, 1166, 16, 374, 5251, 2837, 3003, 334, 6341, 7715, 19988, 282, 3178, 4335, 8560, 18, 1787, 978, 4686, 14495, 478, 16744, 879, 1405, 470, 360, 23603, 16, 1011, 1660, 1120, 5317, 8647, 3193, 16, 2548, 7897, 18, 365, 502, 575, 808, 9063, 48240, 16303, 5301, 290, 970, 16, 374, 12435, 1698, 953, 38052, 519, 3915, 3990, 18, 11896, 10676, 4452, 1974, 281, 28844, 411, 7597, 1195, 8825, 304, 19569, 42995, 933, 2559, 282, 1078, 309, 26058, 15953, 10513, 928, 718, 19604, 342, 18, 1367, 803, 28312, 8818, 6442, 567, 12241, 282, 727, 21835, 17, 7355, 409, 282, 1078, 309, 22599, 13202, 1519, 13453, 35013, 5792, 290, 14938, 3741, 6341, 4678, 2145, 289, 22470, 1279, 1175, 18, 478, 20314, 8229, 542, 1494, 6666, 567, 7410, 13269, 13951, 282, 1078, 309, 3193, 1175, 309, 4862, 910, 510, 8977, 3781, 17, 15975, 32975, 346, 11413, 16, 32949, 16, 374, 282, 11826, 1045, 15243, 21161, 3531, 42995, 1133, 12435, 282, 1078, 309, 478, 21960, 276, 282, 14613, 289, 282, 45072, 16, 309, 603, 14131, 10513, 928, 718, 16771, 16, 309, 8597, 448, 11031, 282, 17654, 4862, 861, 1253, 1038, 14291, 16, 374, 282, 1078, 309, 478, 25882, 3675, 33788, 8607, 5133, 282, 4015, 547, 4993, 470, 15243, 10400, 536, 2175, 9280, 3624, 281, 4789, 3334, 28844, 541, 10874, 924, 16, 2710, 24173, 7272, 942, 24835, 18, 9668, 11896, 2407, 4210, 26319, 282, 1078, 309, 8862, 290, 2259, 11795, 6341, 4678, 4725, 16, 374, 745, 27137, 424, 478, 1024, 335, 20298, 23057, 2145, 861, 478, 4348, 7836, 16, 374, 870, 12435, 27137, 424, 3521, 20298, 23057, 2145, 16, 374, 20988, 445, 2548, 290, 1721, 395, 262, 2629, 617, 22470, 18, 35756, 1398, 16, 515, 656, 22654, 541, 31858, 18, 740, 3984, 50137, 411, 924, 16, 374, 1299, 2955, 24960, 360, 1512, 16, 961, 453, 28408, 16, 282, 970, 2875, 477, 3319, 15442, 353, 282, 4599, 36599, 14769, 12142, 282, 12500, 2801, 779, 910, 510, 9299, 9805, 8099, 18, 2, 1, 87, 1456, 81, 2448, 30, 19386, 549, 39483, 18092, 8187, 448, 5445, 282, 33319, 19900, 16, 9196, 735, 275, 478, 8108, 1431, 1938, 282, 39065, 470, 22154, 289, 9637, 10528, 2145, 18, 1614, 313, 268, 35392, 1133, 5792, 7788, 46743, 14075, 49085, 522, 8582, 11574, 1953, 1225, 41926, 16, 322, 1210, 2545, 3361, 294, 11129, 18, 2046, 2777, 2679, 3110, 290, 23001, 26594, 14822, 282, 6594, 18264, 2682, 6022, 1020, 262, 1532, 933, 8187, 18, 31224, 30, 15309, 2576, 451, 27624, 4990, 30218, 18801, 40266, 49590, 268, 14268, 8187, 448, 5445, 282, 33319, 19900, 16, 3110, 5211, 35392, 1880, 1511, 14768, 662, 1312, 14437, 684, 18, 6592, 6489, 17152, 47165, 42560, 680, 3781, 323, 22623, 28481, 10687, 16, 39425, 18801, 40266, 7412, 15069, 3348, 17192, 478, 8108, 1431, 1938, 282, 39065, 470, 22154, 16, 9637, 10528, 282, 1782, 890, 409, 16, 309, 5971, 2880, 1751, 289, 309, 12542, 6470, 395, 282, 8891, 304, 30354, 18, 15066, 22517, 3574, 27624, 4990, 18801, 40266, 49590, 268, 14900, 309, 14777, 46465, 2204, 17886, 25804, 282, 3765, 309, 10882, 16, 3110, 7589, 539, 48256, 539, 10027, 30218, 473, 3127, 14437, 684, 814, 478, 1140, 12247, 5367, 15810, 451, 27624, 4990, 7107, 2365, 39321, 416, 6447, 354, 4178, 680, 45432, 2206, 11673, 36200, 20994, 910, 510, 5301, 1312, 14437, 684, 18, 18801, 40266, 49590, 268, 3893, 16, 478, 324, 17697, 808, 31052, 6791, 1254, 281, 43805, 36200, 414, 5364, 861, 36754, 3110, 3888, 10621, 12375, 27624, 5084, 18, 22802, 305, 451, 5335, 12350, 17877, 334, 19336, 3170, 395, 282, 32184, 1809, 2095, 2145, 16, 367, 1038, 334, 5971, 2880, 2078, 473, 885, 1627, 3407, 6798, 17, 5350, 1162, 14396, 282, 378, 2575, 271, 17, 41954, 22339, 13, 289, 5081, 272, 6470, 395, 282, 8891, 304, 30354, 16, 988, 18264, 8394, 11517, 25246, 11624, 13104, 11604, 2145, 18, 1312, 14437, 684, 18590, 3574, 27624, 5084, 25672, 309, 478, 3045, 2683, 448, 8739, 49135, 871, 2759, 2553, 43805, 36200, 414, 5364, 861, 20346, 1272, 32289, 19410, 7336, 15462, 2145, 504, 17, 22, 4424, 5488, 3590, 35254, 4380, 309, 2923, 13340, 30576, 18, 365, 5241, 6238, 23032, 24596, 2145, 8846, 16, 374, 19410, 6951, 2966, 6355, 11979, 13725, 9438, 282, 4301, 16544, 432, 33099, 33568, 2145, 289, 13340, 30576, 1149, 83, 565, 1302, 1366, 716, 18, 365, 12966, 19410, 5363, 504, 17, 22, 16, 46421, 541, 37919, 38308, 28600, 289, 15777, 16811, 670, 28481, 6617, 16, 22907, 10212, 281, 10528, 309, 2923, 2145, 16, 7730, 468, 10687, 334, 4795, 536, 38993, 309, 2839, 1532, 1212, 34162, 289, 22189, 309, 1756, 19546, 955, 499, 1214, 553, 18, 608, 1489, 16, 9725, 6519, 430, 3990, 16, 1103, 47212, 519, 2555, 4238, 18, 1312, 14437, 684, 1038, 13765, 305, 8234, 18801, 40266, 49590, 324, 1624, 2170, 6090, 24252, 282, 3709, 411, 3541, 432, 12153, 18, 999, 6381, 27624, 5084, 29332, 18153, 281, 23705, 478, 672, 1822, 10687, 334, 32184, 1809, 2095, 2145 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 309, 9155, 18034, 7796, 1552, 7597, 282, 40315, 282, 10666, 16, 1281, 3750, 18, 824, 3163, 2236, 411, 11861, 24409, 18045, 16, 3771, 9280, 9075, 3194, 2593, 1147, 36400, 13509, 282, 19604, 546, 18, 12824, 411, 18118, 978, 1623, 13965, 17384, 32534, 349, 28822, 1272, 5196, 18, 817, 10050, 16, 374, 309, 21290, 6881, 16, 374, 519, 4319, 1326, 25509, 21689, 10777, 282, 1078, 309, 3193, 1175, 282, 42077, 1212, 4993, 18, 459, 481, 895, 7869, 294, 2222, 16, 374, 5343, 32033, 3953, 9654, 18258, 5922, 13509, 16, 827, 322, 1747, 24732, 1033, 1142, 4793, 7272, 18, 365, 7597, 40723, 16, 374, 13013, 895, 953, 329, 332, 1957, 6929, 49808, 16, 515, 3771, 453, 289, 322, 7354, 1154, 12201, 32382, 18, 478, 9256, 4302, 18118, 16, 374, 745, 6696, 744, 599, 17871, 553, 11220, 910, 510, 2548, 7897, 25571, 272, 18045, 18, 1397, 5327, 8671, 11176, 5537, 2559, 16, 502, 16, 47351, 1223, 16, 1329, 4965, 16811, 16126, 1183, 38996, 322, 840, 18, 5161, 16, 322, 42449, 13547, 309, 9106, 5781, 13509, 282, 1326, 548, 7597, 18, 19112, 12435, 2125, 23350, 1558, 1110, 16, 1085, 14785, 286, 294, 41317, 552, 282, 10513, 928, 1212, 19604, 546, 18, 478, 30145, 487, 764, 11875, 16, 29159, 382, 22240, 910, 510, 15875, 24036, 7897, 282, 49642, 30000, 18, 18154, 26363, 11661, 1149, 56, 16, 374, 12435, 1747, 19196, 309, 15570, 289, 19067, 1562, 16, 14785, 432, 294, 10570, 1433, 12201, 13509, 18, 5637, 15389, 11466, 1166, 16, 374, 5251, 2837, 3003, 334, 6341, 7715, 19988, 282, 3178, 4335, 8560, 18, 1787, 978, 4686, 14495, 478, 16744, 879, 1405, 470, 360, 23603, 16, 1011, 1660, 1120, 5317, 8647, 3193, 16, 2548, 7897, 18, 365, 502, 575, 808, 9063, 48240, 16303, 5301, 290, 970, 16, 374, 12435, 1698, 953, 38052, 519, 3915, 3990, 18, 11896, 10676, 4452, 1974, 281, 28844, 411, 7597, 1195, 8825, 304, 19569, 42995, 933, 2559, 282, 1078, 309, 26058, 15953, 10513, 928, 718, 19604, 342, 18, 1367, 803, 28312, 8818, 6442, 567, 12241, 282, 727, 21835, 17, 7355, 409, 282, 1078, 309, 22599, 13202, 1519, 13453, 35013, 5792, 290, 14938, 3741, 6341, 4678, 2145, 289, 22470, 1279, 1175, 18, 478, 20314, 8229, 542, 1494, 6666, 567, 7410, 13269, 13951, 282, 1078, 309, 3193, 1175, 309, 4862, 910, 510, 8977, 3781, 17, 15975, 32975, 346, 11413, 16, 32949, 16, 374, 282, 11826, 1045, 15243, 21161, 3531, 42995, 1133, 12435, 282, 1078, 309, 478, 21960, 276, 282, 14613, 289, 282, 45072, 16, 309, 603, 14131, 10513, 928, 718, 16771, 16, 309, 8597, 448, 11031, 282, 17654, 4862, 861, 1253, 1038, 14291, 16, 374, 282, 1078, 309, 478, 25882, 3675, 33788, 8607, 5133, 282, 4015, 547, 4993, 470, 15243, 10400, 536, 2175, 9280, 3624, 281, 4789, 3334, 28844, 541, 10874, 924, 16, 2710, 24173, 7272, 942, 24835, 18, 9668, 11896, 2407, 4210, 26319, 282, 1078, 309, 8862, 290, 2259, 11795, 6341, 4678, 4725, 16, 374, 745, 27137, 424, 478, 1024, 335, 20298, 23057, 2145, 861, 478, 4348, 7836, 16, 374, 870, 12435, 27137, 424, 3521, 20298, 23057, 2145, 16, 374, 20988, 445, 2548, 290, 1721, 395, 262, 2629, 617, 22470, 18, 35756, 1398, 16, 515, 656, 22654, 541, 31858, 18, 740, 3984, 50137, 411, 924, 16, 374, 1299, 2955, 24960, 360, 1512, 16, 961, 453, 28408, 16, 282, 970, 2875, 477, 3319, 15442, 353, 282, 4599, 36599, 14769, 12142, 282, 12500, 2801, 779, 910, 510, 9299, 9805, 8099, 18, 2, 1, 87, 1456, 81, 2448, 30, 19386, 549, 39483, 18092, 8187, 448, 5445, 282, 33319, 19900, 16, 9196, 735, 275, 478, 8108, 1431, 1938, 282, 39065, 470, 22154, 289, 9637, 10528, 2145, 18, 1614, 313, 268, 35392, 1133, 5792, 7788, 46743, 14075, 49085, 522, 8582, 11574, 1953, 1225, 41926, 16, 322, 1210, 2545, 3361, 294, 11129, 18, 2046, 2777, 2679, 3110, 290, 23001, 26594, 14822, 282, 6594, 18264, 2682, 6022, 1020, 262, 1532, 933, 8187, 18, 31224, 30, 15309, 2576, 451, 27624, 4990, 30218, 18801, 40266, 49590, 268, 14268, 8187, 448, 5445, 282, 33319, 19900, 16, 3110, 5211, 35392, 1880, 1511, 14768, 662, 1312, 14437, 684, 18, 6592, 6489, 17152, 47165, 42560, 680, 3781, 323, 22623, 28481, 10687, 16, 39425, 18801, 40266, 7412, 15069, 3348, 17192, 478, 8108, 1431, 1938, 282, 39065, 470, 22154, 16, 9637, 10528, 282, 1782, 890, 409, 16, 309, 5971, 2880, 1751, 289, 309, 12542, 6470, 395, 282, 8891, 304, 30354, 18, 15066, 22517, 3574, 27624, 4990, 18801, 40266, 49590, 268, 14900, 309, 14777, 46465, 2204, 17886, 25804, 282, 3765, 309, 10882, 16, 3110, 7589, 539, 48256, 539, 10027, 30218, 473, 3127, 14437, 684, 814, 478, 1140, 12247, 5367, 15810, 451, 27624, 4990, 7107, 2365, 39321, 416, 6447, 354, 4178, 680, 45432, 2206, 11673, 36200, 20994, 910, 510, 5301, 1312, 14437, 684, 18, 18801, 40266, 49590, 268, 3893, 16, 478, 324, 17697, 808, 31052, 6791, 1254, 281, 43805, 36200, 414, 5364, 861, 36754, 3110, 3888, 10621, 12375, 27624, 5084, 18, 22802, 305, 451, 5335, 12350, 17877, 334, 19336, 3170, 395, 282, 32184, 1809, 2095, 2145, 16, 367, 1038, 334, 5971, 2880, 2078, 473, 885, 1627, 3407, 6798, 17, 5350, 1162, 14396, 282, 378, 2575, 271, 17, 41954, 22339, 13, 289, 5081, 272, 6470, 395, 282, 8891, 304, 30354, 16, 988, 18264, 8394, 11517, 25246, 11624, 13104, 11604, 2145, 18, 1312, 14437, 684, 18590, 3574, 27624, 5084, 25672, 309, 478, 3045, 2683, 448, 8739, 49135, 871, 2759, 2553, 43805, 36200, 414, 5364, 861, 20346, 1272, 32289, 19410, 7336, 15462, 2145, 504, 17, 22, 4424, 5488, 3590, 35254, 4380, 309, 2923, 13340, 30576, 18, 365, 5241, 6238, 23032, 24596, 2145, 8846, 16, 374, 19410, 6951, 2966, 6355, 11979, 13725, 9438, 282, 4301, 16544, 432, 33099, 33568, 2145, 289, 13340, 30576, 1149, 83, 565, 1302, 1366, 716, 18, 365, 12966, 19410, 5363, 504, 17, 22, 16, 46421, 541, 37919, 38308, 28600, 289, 15777, 16811, 670, 28481, 6617, 16, 22907, 10212, 281, 10528, 309, 2923, 2145, 16, 7730, 468, 10687, 334, 4795, 536, 38993, 309, 2839, 1532, 1212, 34162, 289, 22189, 309, 1756, 19546, 955, 499, 1214, 553, 18, 608, 1489, 16, 9725, 6519, 430, 3990, 16, 1103, 47212, 519, 2555, 4238, 18, 1312, 14437, 684, 1038, 13765, 305, 8234, 18801, 40266, 49590, 324, 1624, 2170, 6090, 24252, 282, 3709, 411, 3541, 432, 12153, 18, 999, 6381, 27624, 5084, 29332, 18153, 281, 23705, 478, 672, 1822, 10687, 334, 32184, 1809, 2095, 2145 ]
[ 910, 510, 3110, 478, 15210, 861, 1178, 9611, 520, 12944, 16, 46322, 309, 13176, 16, 510, 367, 22350, 268, 35392, 1133, 5792, 30889, 326, 870, 8234, 428, 30783, 2248, 8984, 294, 11129, 10364, 554, 510, 5222, 30218, 9733, 20676, 13436, 309, 22154, 16, 9822, 562, 289, 6798, 17, 5350, 2127, 15122, 282, 6258, 17, 822, 35480, 18, 49085, 522, 1231, 282, 10364, 476, 39248, 32567, 13711, 1245, 18, 13191, 735, 12944, 17877, 334, 2145, 8187, 451, 5335, 11563, 4416, 18528, 11049, 29617, 16, 4660, 5103, 309, 5303, 3453, 30218, 16, 11680, 309, 15956, 18, 5451, 35392, 778, 12501, 14205, 1770, 25503, 410, 94, 2542, 79, 1106, 77, 3043, 3729, 39592, 23610, 424, 7848, 478, 684, 37925, 2135, 3437, 22044, 549, 6888, 470, 1624, 30015, 4132, 27224, 49836, 16096, 1051, 30218, 282, 1614, 14137, 2839, 29134, 18, 16353, 755, 349, 6567, 620, 2548, 16, 5938, 39772, 16, 30218, 478, 19916, 921, 2777, 2679, 289, 2393, 2001, 289, 4073, 4045, 282, 7997, 1157, 9469, 2634, 11673, 2954, 861, 824, 22573, 3761, 16, 282, 13340, 41647, 6535, 22839, 2634, 2122, 31700, 411, 2145, 289, 4039, 2634, 11673, 18133, 18, 4406, 282, 5324, 289, 2393, 3806, 14210, 1133, 5626, 16, 2361, 411, 1639, 10201, 8534, 28481, 10687, 334, 6835, 17, 8415, 454, 16, 367, 4753, 31167, 16, 428, 12559, 2145, 289, 5112, 4770, 38783, 21821, 40193, 282, 1607, 1212, 19682, 18, 10388, 6099, 360, 924, 16, 309, 2616, 4660, 12841, 8234, 281, 26752, 14719, 309, 22154, 16, 282, 11946, 2777, 2679, 3828, 290, 23001, 14822, 282, 6594, 37647, 2150, 5211, 35392, 933, 8187, 16, 5923, 22350, 268, 35392, 1880, 10027, 478, 730, 286, 890, 293, 861, 478, 2176, 8011, 23001, 49049, 22350, 268, 35392, 1133, 289, 16775, 5445, 9462, 4030, 1617, 8885, 309, 31543, 9702, 477, 26871, 6684, 3170, 309, 2923, 12654, 30576, 18, 24140, 15168, 12362, 13510, 10460, 5998, 910, 510, 5130, 282, 9907, 478, 730, 286, 890, 293, 861, 41800, 5432, 16, 374, 8306, 4504, 906, 3542, 6521, 1248, 1293, 3139, 1011, 17420, 290, 6042, 763, 8187, 30218, 282, 33319, 19900, 18, 11101, 10015, 282, 16521, 10719, 13340, 30576, 4725, 16, 374, 282, 3948, 16, 988, 18264, 8394, 5211, 35392, 1133, 13436, 16, 9478, 4783, 1374, 5616, 539, 5922, 18, 625, 17871, 783, 16733, 4506, 758, 5263, 1134, 1251, 49085, 11444, 547, 289, 2777, 272, 1683, 9601, 282, 12500, 978, 779, 16, 785, 33487, 39483, 8977, 381, 2081, 432, 36597, 37949, 5491, 6585, 16, 25672, 309, 961, 2458, 3531, 34387, 12435, 477, 1963, 6897, 39661, 9085, 289, 2145, 18, 24295, 11896, 282, 10882, 22377, 297, 1426, 30576, 360, 29300, 1608, 5348, 282, 803, 10021, 750, 18, 478, 34865, 28296, 502, 16, 374, 18122, 281, 22842, 7310, 40184, 6897, 39661, 9085, 1624, 18122, 281, 4150, 6466, 40184, 12672, 15948, 5942, 802, 2917, 12654, 30576, 29300, 564, 3193, 16, 961, 11767, 802, 282, 23095, 9702, 8312, 14822, 910, 510, 1109, 8099, 7796, 1552, 4210, 26319, 1624, 8084, 16, 36389, 309, 36188, 11673, 19410, 5363, 18, 817, 22080, 1514, 11922, 478, 404, 6683, 9654, 19754, 1018, 861, 20346, 18165, 14995, 9085, 13465, 10671, 38090, 3153, 290, 5941, 19760, 5040, 49049, 282, 9804, 18, 478, 16464, 2059, 32250, 28169, 761, 322, 4366, 27469, 2422, 289, 3623, 309, 2839, 1532, 1212, 34162, 910, 510, 15875, 6080, 478, 13261, 470, 20840, 12672, 15948, 18, 365, 11946, 575, 8099, 7225, 2145, 688, 333, 20678, 297, 310, 11661, 16, 374, 2145, 6354, 289, 2915, 48516, 1423, 3941, 49085, 11444, 392, 18, 985, 6442, 282, 31460, 27007, 16, 20678, 297, 310, 334, 8352, 43611, 281, 25189, 7225, 13340, 30576, 18801, 528, 1736, 35855, 15421, 289, 478, 1567, 1477, 2345, 18599, 622, 20394, 2145, 334, 27469, 7225, 13340, 30576, 16, 6895, 4473, 20760, 3775, 5204, 1443, 861, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 548, 30264, 294, 34393, 8540, 7811, 281, 37612, 18, 365, 16488, 3675, 580, 42962, 12350, 18894, 1817, 4958, 5418, 15774, 16, 11940, 281, 17998, 3593, 22005, 18, 13141, 1947, 9759, 2802, 3430, 432, 8743, 473, 9693, 672, 13, 289, 25215, 9759, 2802, 3430, 432, 8743, 473, 1182, 9693, 672, 13, 1698, 8662, 282, 5630, 1110, 16, 1639, 942, 840, 14033, 334, 7705, 290, 322, 4550, 32136, 4735, 4543, 27526, 4076, 18, 31224, 30, 30197, 4872, 45579, 282, 46849, 1005, 12832, 30183, 18, 985, 4848, 478, 46088, 18, 8381, 470, 9128, 11050, 7920, 16934, 334, 17998, 4143, 22005, 3720, 768, 375, 20402, 16, 3964, 322, 1209, 7143, 1724, 819, 2294, 1800, 942, 14033, 294, 34814, 8217, 349, 322, 321, 944, 1790, 8225, 4076, 18, 824, 3163, 20691, 16, 4498, 3229, 1223, 3419, 290, 9759, 2802, 3430, 432, 28164, 473, 9693, 672, 13, 289, 25215, 9759, 2802, 3430, 432, 28164, 473, 1182, 9693, 672, 814, 478, 983, 306, 24690, 448, 3674, 1727, 5985, 14426, 567, 49526, 672, 16, 1011, 1660, 4735, 16014, 322, 4550, 13432, 2175, 18, 5161, 16, 4226, 2229, 17459, 708, 3426, 802, 31390, 382, 910, 510, 41988, 768, 375, 20402, 18, 824, 505, 3163, 16, 35467, 2301, 23740, 432, 289, 21831, 8743, 1314, 2397, 4769, 49526, 26595, 18, 22642, 282, 970, 16, 374, 334, 7705, 4039, 25, 18, 21, 11828, 478, 682, 1577, 944, 1790, 4735, 1700, 27526, 4076, 470, 942, 14033, 687, 2993, 11004, 2641, 16, 367, 19633, 8689, 12588, 424, 2089, 36315, 322, 21057, 16, 453, 428, 745, 322, 3929, 37794, 14532, 4496, 18, 478, 15035, 1866, 1347, 49526, 12775, 14033, 2955, 16, 935, 827, 1760, 2634, 1135, 424, 1498, 4452, 910, 510, 2548, 768, 375, 20402, 18, 4185, 3433, 2678, 6605, 16, 2003, 25728, 39190, 451, 17597, 1110, 16, 1085, 1623, 24669, 2389, 8150, 18, 15066, 15102, 26119, 16872, 21038, 18894, 282, 16488, 3675, 580, 42962, 18, 478, 1140, 8273, 448, 5754, 510, 481, 1494, 19811, 42972, 910, 510, 38721, 9128, 20148, 8840, 478, 22670, 46861, 18655, 5533, 404, 34458, 271, 510, 472, 470, 4944, 1258, 44093, 1908, 267, 18, 817, 29230, 16, 374, 1717, 1248, 2388, 2726, 8260, 17, 1599, 1505, 6101, 10074, 8554, 16, 282, 4810, 16, 40183, 37401, 473, 11838, 16, 11552, 672, 478, 24775, 778, 32899, 286, 910, 11552, 672, 478, 46255, 1615, 32721, 12235, 5186, 3236, 6196, 23470, 18, 49526, 19572, 1623, 289, 478, 2814, 354, 1175, 225, 861, 824, 3163, 1258, 44093, 1908, 507, 16, 2802, 3430, 448, 5754, 1698, 9038, 3674, 289, 18213, 14426, 360, 4000, 30, 478, 2176, 3927, 16, 745, 12486 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 510, 3110, 478, 15210, 861, 1178, 9611, 520, 12944, 16, 46322, 309, 13176, 16, 510, 367, 22350, 268, 35392, 1133, 5792, 30889, 326, 870, 8234, 428, 30783, 2248, 8984, 294, 11129, 10364, 554, 510, 5222, 30218, 9733, 20676, 13436, 309, 22154, 16, 9822, 562, 289, 6798, 17, 5350, 2127, 15122, 282, 6258, 17, 822, 35480, 18, 49085, 522, 1231, 282, 10364, 476, 39248, 32567, 13711, 1245, 18, 13191, 735, 12944, 17877, 334, 2145, 8187, 451, 5335, 11563, 4416, 18528, 11049, 29617, 16, 4660, 5103, 309, 5303, 3453, 30218, 16, 11680, 309, 15956, 18, 5451, 35392, 778, 12501, 14205, 1770, 25503, 410, 94, 2542, 79, 1106, 77, 3043, 3729, 39592, 23610, 424, 7848, 478, 684, 37925, 2135, 3437, 22044, 549, 6888, 470, 1624, 30015, 4132, 27224, 49836, 16096, 1051, 30218, 282, 1614, 14137, 2839, 29134, 18, 16353, 755, 349, 6567, 620, 2548, 16, 5938, 39772, 16, 30218, 478, 19916, 921, 2777, 2679, 289, 2393, 2001, 289, 4073, 4045, 282, 7997, 1157, 9469, 2634, 11673, 2954, 861, 824, 22573, 3761, 16, 282, 13340, 41647, 6535, 22839, 2634, 2122, 31700, 411, 2145, 289, 4039, 2634, 11673, 18133, 18, 4406, 282, 5324, 289, 2393, 3806, 14210, 1133, 5626, 16, 2361, 411, 1639, 10201, 8534, 28481, 10687, 334, 6835, 17, 8415, 454, 16, 367, 4753, 31167, 16, 428, 12559, 2145, 289, 5112, 4770, 38783, 21821, 40193, 282, 1607, 1212, 19682, 18, 10388, 6099, 360, 924, 16, 309, 2616, 4660, 12841, 8234, 281, 26752, 14719, 309, 22154, 16, 282, 11946, 2777, 2679, 3828, 290, 23001, 14822, 282, 6594, 37647, 2150, 5211, 35392, 933, 8187, 16, 5923, 22350, 268, 35392, 1880, 10027, 478, 730, 286, 890, 293, 861, 478, 2176, 8011, 23001, 49049, 22350, 268, 35392, 1133, 289, 16775, 5445, 9462, 4030, 1617, 8885, 309, 31543, 9702, 477, 26871, 6684, 3170, 309, 2923, 12654, 30576, 18, 24140, 15168, 12362, 13510, 10460, 5998, 910, 510, 5130, 282, 9907, 478, 730, 286, 890, 293, 861, 41800, 5432, 16, 374, 8306, 4504, 906, 3542, 6521, 1248, 1293, 3139, 1011, 17420, 290, 6042, 763, 8187, 30218, 282, 33319, 19900, 18, 11101, 10015, 282, 16521, 10719, 13340, 30576, 4725, 16, 374, 282, 3948, 16, 988, 18264, 8394, 5211, 35392, 1133, 13436, 16, 9478, 4783, 1374, 5616, 539, 5922, 18, 625, 17871, 783, 16733, 4506, 758, 5263, 1134, 1251, 49085, 11444, 547, 289, 2777, 272, 1683, 9601, 282, 12500, 978, 779, 16, 785, 33487, 39483, 8977, 381, 2081, 432, 36597, 37949, 5491, 6585, 16, 25672, 309, 961, 2458, 3531, 34387, 12435, 477, 1963, 6897, 39661, 9085, 289, 2145, 18, 24295, 11896, 282, 10882, 22377, 297, 1426, 30576, 360, 29300, 1608, 5348, 282, 803, 10021, 750, 18, 478, 34865, 28296, 502, 16, 374, 18122, 281, 22842, 7310, 40184, 6897, 39661, 9085, 1624, 18122, 281, 4150, 6466, 40184, 12672, 15948, 5942, 802, 2917, 12654, 30576, 29300, 564, 3193, 16, 961, 11767, 802, 282, 23095, 9702, 8312, 14822, 910, 510, 1109, 8099, 7796, 1552, 4210, 26319, 1624, 8084, 16, 36389, 309, 36188, 11673, 19410, 5363, 18, 817, 22080, 1514, 11922, 478, 404, 6683, 9654, 19754, 1018, 861, 20346, 18165, 14995, 9085, 13465, 10671, 38090, 3153, 290, 5941, 19760, 5040, 49049, 282, 9804, 18, 478, 16464, 2059, 32250, 28169, 761, 322, 4366, 27469, 2422, 289, 3623, 309, 2839, 1532, 1212, 34162, 910, 510, 15875, 6080, 478, 13261, 470, 20840, 12672, 15948, 18, 365, 11946, 575, 8099, 7225, 2145, 688, 333, 20678, 297, 310, 11661, 16, 374, 2145, 6354, 289, 2915, 48516, 1423, 3941, 49085, 11444, 392, 18, 985, 6442, 282, 31460, 27007, 16, 20678, 297, 310, 334, 8352, 43611, 281, 25189, 7225, 13340, 30576, 18801, 528, 1736, 35855, 15421, 289, 478, 1567, 1477, 2345, 18599, 622, 20394, 2145, 334, 27469, 7225, 13340, 30576, 16, 6895, 4473, 20760, 3775, 5204, 1443, 861, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 548, 30264, 294, 34393, 8540, 7811, 281, 37612, 18, 365, 16488, 3675, 580, 42962, 12350, 18894, 1817, 4958, 5418, 15774, 16, 11940, 281, 17998, 3593, 22005, 18, 13141, 1947, 9759, 2802, 3430, 432, 8743, 473, 9693, 672, 13, 289, 25215, 9759, 2802, 3430, 432, 8743, 473, 1182, 9693, 672, 13, 1698, 8662, 282, 5630, 1110, 16, 1639, 942, 840, 14033, 334, 7705, 290, 322, 4550, 32136, 4735, 4543, 27526, 4076, 18, 31224, 30, 30197, 4872, 45579, 282, 46849, 1005, 12832, 30183, 18, 985, 4848, 478, 46088, 18, 8381, 470, 9128, 11050, 7920, 16934, 334, 17998, 4143, 22005, 3720, 768, 375, 20402, 16, 3964, 322, 1209, 7143, 1724, 819, 2294, 1800, 942, 14033, 294, 34814, 8217, 349, 322, 321, 944, 1790, 8225, 4076, 18, 824, 3163, 20691, 16, 4498, 3229, 1223, 3419, 290, 9759, 2802, 3430, 432, 28164, 473, 9693, 672, 13, 289, 25215, 9759, 2802, 3430, 432, 28164, 473, 1182, 9693, 672, 814, 478, 983, 306, 24690, 448, 3674, 1727, 5985, 14426, 567, 49526, 672, 16, 1011, 1660, 4735, 16014, 322, 4550, 13432, 2175, 18, 5161, 16, 4226, 2229, 17459, 708, 3426, 802, 31390, 382, 910, 510, 41988, 768, 375, 20402, 18, 824, 505, 3163, 16, 35467, 2301, 23740, 432, 289, 21831, 8743, 1314, 2397, 4769, 49526, 26595, 18, 22642, 282, 970, 16, 374, 334, 7705, 4039, 25, 18, 21, 11828, 478, 682, 1577, 944, 1790, 4735, 1700, 27526, 4076, 470, 942, 14033, 687, 2993, 11004, 2641, 16, 367, 19633, 8689, 12588, 424, 2089, 36315, 322, 21057, 16, 453, 428, 745, 322, 3929, 37794, 14532, 4496, 18, 478, 15035, 1866, 1347, 49526, 12775, 14033, 2955, 16, 935, 827, 1760, 2634, 1135, 424, 1498, 4452, 910, 510, 2548, 768, 375, 20402, 18, 4185, 3433, 2678, 6605, 16, 2003, 25728, 39190, 451, 17597, 1110, 16, 1085, 1623, 24669, 2389, 8150, 18, 15066, 15102, 26119, 16872, 21038, 18894, 282, 16488, 3675, 580, 42962, 18, 478, 1140, 8273, 448, 5754, 510, 481, 1494, 19811, 42972, 910, 510, 38721, 9128, 20148, 8840, 478, 22670, 46861, 18655, 5533, 404, 34458, 271, 510, 472, 470, 4944, 1258, 44093, 1908, 267, 18, 817, 29230, 16, 374, 1717, 1248, 2388, 2726, 8260, 17, 1599, 1505, 6101, 10074, 8554, 16, 282, 4810, 16, 40183, 37401, 473, 11838, 16, 11552, 672, 478, 24775, 778, 32899, 286, 910, 11552, 672, 478, 46255, 1615, 32721, 12235, 5186, 3236, 6196, 23470, 18, 49526, 19572, 1623, 289, 478, 2814, 354, 1175, 225, 861, 824, 3163, 1258, 44093, 1908, 507, 16, 2802, 3430, 448, 5754, 1698, 9038, 3674, 289, 18213, 14426, 360, 4000, 30, 478, 2176, 3927, 16, 745, 12486 ]
[ 11027, 16, 367, 1085, 1122, 10114, 289, 374, 5073, 16, 726, 13860, 861, 37729, 5273, 17909, 18787, 9342, 5090, 289, 6236, 622, 6431, 3594, 8689, 12588, 18, 2949, 924, 16, 334, 505, 4734, 16, 6457, 349, 17036, 11552, 26595, 1943, 30351, 322, 687, 282, 4599, 14314, 16, 515, 289, 11141, 35585, 42016, 18, 1614, 4178, 23061, 7811, 281, 37612, 17860, 5452, 380, 5273, 16, 374, 3253, 4461, 11552, 26595, 289, 31122, 26595, 1623, 40028, 1027, 30, 478, 4441, 3020, 3774, 8447, 16, 2296, 16853, 764, 281, 12110, 2252, 861, 608, 8273, 448, 5754, 3929, 23650, 5536, 375, 416, 23126, 1251, 22132, 289, 7233, 35960, 18, 385, 2059, 1963, 16, 745, 1698, 9038, 7143, 448, 3674, 16, 515, 371, 803, 4247, 3018, 16, 40225, 19697, 6508, 4118, 17540, 16, 374, 19148, 22228, 3775, 541, 5153, 2005, 18, 365, 4810, 16, 870, 12272, 935, 322, 15434, 11558, 309, 30403, 2954, 18, 5452, 380, 11792, 16, 374, 16, 1830, 282, 4700, 17, 299, 27491, 11552, 672, 276, 289, 20006, 16, 282, 11063, 8640, 697, 1381, 1830, 373, 23388, 12703, 30, 478, 4182, 1135, 16, 43248, 282, 42300, 416, 6491, 16, 417, 16, 2091, 16, 9763, 16, 374, 2003, 12998, 1676, 12501, 21803, 282, 16211, 861, 2046, 281, 23669, 14971, 290, 11340, 377, 317, 4510, 11552, 26595, 289, 49526, 26595, 322, 12557, 11309, 17838, 16095, 2086, 14940, 18, 817, 29230, 16, 374, 371, 8527, 8292, 411, 10059, 2802, 3430, 448, 5754, 25155, 424, 370, 1349, 318, 35832, 416, 28079, 18, 478, 618, 827, 3419, 4010, 17, 299, 322, 321, 944, 1790, 8225, 16, 502, 424, 481, 942, 45659, 10536, 11051, 18, 629, 48722, 477, 1108, 2608, 16, 785, 34525, 5430, 289, 48177, 432, 14314, 11552, 26595, 16, 289, 12666, 13954, 910, 510, 18590, 2086, 14940, 18, 824, 3163, 768, 375, 30058, 16, 1038, 294, 16488, 845, 23143, 1747, 26236, 28349, 16, 11419, 281, 1087, 8665, 673, 1082, 18, 365, 4810, 16, 11309, 4725, 16, 374, 2003, 15333, 8341, 541, 9410, 4764, 349, 3193, 3587, 1567, 989, 4764, 289, 349, 34357, 3271, 18234, 20194, 9954, 31817, 18805, 2921, 17983, 18, 23480, 2414, 7550, 6606, 3141, 5273, 16, 374, 9200, 17925, 289, 7811, 281, 37612, 1314, 7556, 8425, 541, 1001, 2025, 16, 2686, 48115, 10645, 1335, 7811, 9466, 25110, 30, 478, 39009, 4461, 24810, 309, 5757, 763, 10305, 289, 2891, 16, 309, 970, 16, 374, 15728, 5695, 1595, 40102, 12776, 861, 2, 1, 87, 1456, 81, 2448, 30, 33929, 778, 35675, 7220, 9434, 1568, 622, 33609, 282, 2145, 7269, 33844, 31324, 18, 4663, 19304, 282, 1421, 4570, 4803, 16, 828, 329, 19874, 18, 740, 745, 453, 2669, 45180, 478, 25336, 470, 282, 2901, 5353, 271, 16, 374, 13205, 30292, 6604, 1211, 31324, 282, 50128, 281, 11237, 34570, 15757, 3402, 18, 31224, 30, 471, 31324, 2353, 953, 4850, 968, 16, 30901, 3513, 546, 5738, 371, 6244, 5535, 7269, 33844, 309, 2768, 282, 34212, 15946, 266, 910, 510, 5301, 282, 10882, 282, 4624, 4669, 7481, 582, 10958, 715, 5994, 10413, 16303, 18, 365, 34212, 15946, 464, 473, 4261, 266, 22154, 16, 2145, 13, 28038, 13553, 331, 3589, 8357, 2241, 31324, 18, 365, 2456, 23991, 22154, 7118, 42363, 282, 2145, 3400, 33844, 309, 7683, 4186, 16, 367, 31324, 510, 26503, 2134, 6301, 14591, 2901, 5353, 332, 18, 459, 3333, 1336, 9707, 25644, 290, 2410, 14244, 13399, 1635, 29597, 432, 7987, 411, 1175, 18, 365, 2343, 4238, 35675, 360, 17240, 7070, 401, 688, 333, 528, 2423, 600, 8494, 294, 1087, 12206, 2243, 768, 15044, 312, 37701, 289, 44319, 9526, 3623, 30256, 305, 640, 911, 1004, 315, 281, 22573, 10159, 304, 381, 10634, 7341, 2206, 31324, 3731, 9044, 951, 17, 21, 541, 33844, 411, 1175, 18, 889, 9888, 12886, 33023, 541, 36101, 2466, 32222, 33609, 18, 22032, 1525, 541, 7792, 2756, 45764, 715, 5994, 10413, 16303, 360, 2418, 4238, 978, 779, 18, 38160, 1726, 576, 381, 41317, 464, 1624, 14170, 2529, 764, 13798, 4440, 779, 18, 365, 12354, 1281, 33844, 411, 1175, 16, 6814, 18164, 29659, 718, 31324, 46121, 20983, 16, 49281, 282, 2901, 5353, 271, 282, 4391, 10145, 360, 31324, 23424, 309, 1272, 17, 1198, 5196, 16, 898, 45636, 5187, 282, 7522, 11198, 1734, 289, 14250, 416, 29904, 2145, 18, 1787, 4729, 411, 49281, 282, 3217, 8933, 28374, 282, 2901, 5353, 271, 906, 32055, 349, 4101, 2846, 779, 16, 12698, 10958, 18, 1787, 1209, 49281, 898, 5891, 2626, 33023, 9044, 951, 17, 21, 18, 824, 21858, 7475, 16, 745, 13473, 282, 2145, 541, 590, 348, 610, 427, 18, 478, 4441, 3754, 16, 515, 322, 1759, 910, 510, 23588, 7282, 14250, 1157, 18, 824, 697, 4734, 16, 282, 11171, 40141, 411, 1175, 41956, 282, 2901, 5353, 271, 478, 12833, 8202, 749, 360, 5146, 360, 4981, 910, 502, 912, 9600, 11157, 282, 2145, 334, 9888, 3643, 3731, 263, 18, 715, 5994, 10413, 16303, 3225, 16228, 281, 23828, 1134, 2797, 8783, 2954, 1175, 30, 3888, 411, 1129, 23051, 16, 374, 478, 13027, 487, 2240, 282, 2145, 1613, 575, 2768, 541, 31324, 16, 374, 289, 282, 3507, 861, 2112, 978, 26369, 39805, 309, 6711, 808, 14640, 364, 15999, 32878, 33844, 411, 18164, 5500, 18, 740, 481, 906, 36101, 3412, 16410, 13279, 42163, 33844, 5447, 8260, 17, 41211, 1873, 12893, 473, 36643, 34928, 37, 814, 365, 42405, 34928, 37, 2944, 46119, 12566, 17, 3773, 620, 31324, 282, 1175, 473, 11393, 266, 282, 10013, 1045, 934, 988, 1195, 27100, 19504, 7393, 2364, 430, 16, 25, 4500, 18, 6814, 16, 2470, 1587, 19304, 322, 3230, 2059, 24701, 360, 16125, 44304, 7987, 282, 2145, 18, 740, 764, 1143, 30292, 7107, 6178, 478, 3533, 2376, 7269, 33844, 16, 8753, 42425, 702, 2803, 282, 1593, 547, 20352, 31324, 861, 365, 30292, 263, 9474, 16506, 16, 374, 16, 827, 39805, 3957, 26200, 5781, 6814, 16, 773, 2003, 5891, 2666, 37766, 13423, 9044, 1021, 21, 38, 18, 49381, 873, 334, 1574, 3731, 263, 1698, 3624, 282, 2145, 23424, 519, 7518, 986, 16, 745, 24259, 24075, 282, 13205, 7143, 16, 515, 289, 12486, 360, 42335, 518, 575, 2764, 289, 40236, 16, 374, 289, 40225, 334, 17139, 8811, 31324, 281, 28343, 2954, 1518, 18, 7100, 16, 31324, 1943, 13076, 42152, 25567, 16, 374, 28872, 8876, 20006, 19504, 289, 322, 520, 7267, 7898, 1801, 11673, 33844, 18, 4852, 1293, 8560, 1011, 31177, 718, 26369, 31324, 478, 551, 1309, 294, 1360, 14970, 11204, 910, 5301, 715, 5994, 10413, 16303, 18, 365, 11023, 10933, 40141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11027, 16, 367, 1085, 1122, 10114, 289, 374, 5073, 16, 726, 13860, 861, 37729, 5273, 17909, 18787, 9342, 5090, 289, 6236, 622, 6431, 3594, 8689, 12588, 18, 2949, 924, 16, 334, 505, 4734, 16, 6457, 349, 17036, 11552, 26595, 1943, 30351, 322, 687, 282, 4599, 14314, 16, 515, 289, 11141, 35585, 42016, 18, 1614, 4178, 23061, 7811, 281, 37612, 17860, 5452, 380, 5273, 16, 374, 3253, 4461, 11552, 26595, 289, 31122, 26595, 1623, 40028, 1027, 30, 478, 4441, 3020, 3774, 8447, 16, 2296, 16853, 764, 281, 12110, 2252, 861, 608, 8273, 448, 5754, 3929, 23650, 5536, 375, 416, 23126, 1251, 22132, 289, 7233, 35960, 18, 385, 2059, 1963, 16, 745, 1698, 9038, 7143, 448, 3674, 16, 515, 371, 803, 4247, 3018, 16, 40225, 19697, 6508, 4118, 17540, 16, 374, 19148, 22228, 3775, 541, 5153, 2005, 18, 365, 4810, 16, 870, 12272, 935, 322, 15434, 11558, 309, 30403, 2954, 18, 5452, 380, 11792, 16, 374, 16, 1830, 282, 4700, 17, 299, 27491, 11552, 672, 276, 289, 20006, 16, 282, 11063, 8640, 697, 1381, 1830, 373, 23388, 12703, 30, 478, 4182, 1135, 16, 43248, 282, 42300, 416, 6491, 16, 417, 16, 2091, 16, 9763, 16, 374, 2003, 12998, 1676, 12501, 21803, 282, 16211, 861, 2046, 281, 23669, 14971, 290, 11340, 377, 317, 4510, 11552, 26595, 289, 49526, 26595, 322, 12557, 11309, 17838, 16095, 2086, 14940, 18, 817, 29230, 16, 374, 371, 8527, 8292, 411, 10059, 2802, 3430, 448, 5754, 25155, 424, 370, 1349, 318, 35832, 416, 28079, 18, 478, 618, 827, 3419, 4010, 17, 299, 322, 321, 944, 1790, 8225, 16, 502, 424, 481, 942, 45659, 10536, 11051, 18, 629, 48722, 477, 1108, 2608, 16, 785, 34525, 5430, 289, 48177, 432, 14314, 11552, 26595, 16, 289, 12666, 13954, 910, 510, 18590, 2086, 14940, 18, 824, 3163, 768, 375, 30058, 16, 1038, 294, 16488, 845, 23143, 1747, 26236, 28349, 16, 11419, 281, 1087, 8665, 673, 1082, 18, 365, 4810, 16, 11309, 4725, 16, 374, 2003, 15333, 8341, 541, 9410, 4764, 349, 3193, 3587, 1567, 989, 4764, 289, 349, 34357, 3271, 18234, 20194, 9954, 31817, 18805, 2921, 17983, 18, 23480, 2414, 7550, 6606, 3141, 5273, 16, 374, 9200, 17925, 289, 7811, 281, 37612, 1314, 7556, 8425, 541, 1001, 2025, 16, 2686, 48115, 10645, 1335, 7811, 9466, 25110, 30, 478, 39009, 4461, 24810, 309, 5757, 763, 10305, 289, 2891, 16, 309, 970, 16, 374, 15728, 5695, 1595, 40102, 12776, 861, 2, 1, 87, 1456, 81, 2448, 30, 33929, 778, 35675, 7220, 9434, 1568, 622, 33609, 282, 2145, 7269, 33844, 31324, 18, 4663, 19304, 282, 1421, 4570, 4803, 16, 828, 329, 19874, 18, 740, 745, 453, 2669, 45180, 478, 25336, 470, 282, 2901, 5353, 271, 16, 374, 13205, 30292, 6604, 1211, 31324, 282, 50128, 281, 11237, 34570, 15757, 3402, 18, 31224, 30, 471, 31324, 2353, 953, 4850, 968, 16, 30901, 3513, 546, 5738, 371, 6244, 5535, 7269, 33844, 309, 2768, 282, 34212, 15946, 266, 910, 510, 5301, 282, 10882, 282, 4624, 4669, 7481, 582, 10958, 715, 5994, 10413, 16303, 18, 365, 34212, 15946, 464, 473, 4261, 266, 22154, 16, 2145, 13, 28038, 13553, 331, 3589, 8357, 2241, 31324, 18, 365, 2456, 23991, 22154, 7118, 42363, 282, 2145, 3400, 33844, 309, 7683, 4186, 16, 367, 31324, 510, 26503, 2134, 6301, 14591, 2901, 5353, 332, 18, 459, 3333, 1336, 9707, 25644, 290, 2410, 14244, 13399, 1635, 29597, 432, 7987, 411, 1175, 18, 365, 2343, 4238, 35675, 360, 17240, 7070, 401, 688, 333, 528, 2423, 600, 8494, 294, 1087, 12206, 2243, 768, 15044, 312, 37701, 289, 44319, 9526, 3623, 30256, 305, 640, 911, 1004, 315, 281, 22573, 10159, 304, 381, 10634, 7341, 2206, 31324, 3731, 9044, 951, 17, 21, 541, 33844, 411, 1175, 18, 889, 9888, 12886, 33023, 541, 36101, 2466, 32222, 33609, 18, 22032, 1525, 541, 7792, 2756, 45764, 715, 5994, 10413, 16303, 360, 2418, 4238, 978, 779, 18, 38160, 1726, 576, 381, 41317, 464, 1624, 14170, 2529, 764, 13798, 4440, 779, 18, 365, 12354, 1281, 33844, 411, 1175, 16, 6814, 18164, 29659, 718, 31324, 46121, 20983, 16, 49281, 282, 2901, 5353, 271, 282, 4391, 10145, 360, 31324, 23424, 309, 1272, 17, 1198, 5196, 16, 898, 45636, 5187, 282, 7522, 11198, 1734, 289, 14250, 416, 29904, 2145, 18, 1787, 4729, 411, 49281, 282, 3217, 8933, 28374, 282, 2901, 5353, 271, 906, 32055, 349, 4101, 2846, 779, 16, 12698, 10958, 18, 1787, 1209, 49281, 898, 5891, 2626, 33023, 9044, 951, 17, 21, 18, 824, 21858, 7475, 16, 745, 13473, 282, 2145, 541, 590, 348, 610, 427, 18, 478, 4441, 3754, 16, 515, 322, 1759, 910, 510, 23588, 7282, 14250, 1157, 18, 824, 697, 4734, 16, 282, 11171, 40141, 411, 1175, 41956, 282, 2901, 5353, 271, 478, 12833, 8202, 749, 360, 5146, 360, 4981, 910, 502, 912, 9600, 11157, 282, 2145, 334, 9888, 3643, 3731, 263, 18, 715, 5994, 10413, 16303, 3225, 16228, 281, 23828, 1134, 2797, 8783, 2954, 1175, 30, 3888, 411, 1129, 23051, 16, 374, 478, 13027, 487, 2240, 282, 2145, 1613, 575, 2768, 541, 31324, 16, 374, 289, 282, 3507, 861, 2112, 978, 26369, 39805, 309, 6711, 808, 14640, 364, 15999, 32878, 33844, 411, 18164, 5500, 18, 740, 481, 906, 36101, 3412, 16410, 13279, 42163, 33844, 5447, 8260, 17, 41211, 1873, 12893, 473, 36643, 34928, 37, 814, 365, 42405, 34928, 37, 2944, 46119, 12566, 17, 3773, 620, 31324, 282, 1175, 473, 11393, 266, 282, 10013, 1045, 934, 988, 1195, 27100, 19504, 7393, 2364, 430, 16, 25, 4500, 18, 6814, 16, 2470, 1587, 19304, 322, 3230, 2059, 24701, 360, 16125, 44304, 7987, 282, 2145, 18, 740, 764, 1143, 30292, 7107, 6178, 478, 3533, 2376, 7269, 33844, 16, 8753, 42425, 702, 2803, 282, 1593, 547, 20352, 31324, 861, 365, 30292, 263, 9474, 16506, 16, 374, 16, 827, 39805, 3957, 26200, 5781, 6814, 16, 773, 2003, 5891, 2666, 37766, 13423, 9044, 1021, 21, 38, 18, 49381, 873, 334, 1574, 3731, 263, 1698, 3624, 282, 2145, 23424, 519, 7518, 986, 16, 745, 24259, 24075, 282, 13205, 7143, 16, 515, 289, 12486, 360, 42335, 518, 575, 2764, 289, 40236, 16, 374, 289, 40225, 334, 17139, 8811, 31324, 281, 28343, 2954, 1518, 18, 7100, 16, 31324, 1943, 13076, 42152, 25567, 16, 374, 28872, 8876, 20006, 19504, 289, 322, 520, 7267, 7898, 1801, 11673, 33844, 18, 4852, 1293, 8560, 1011, 31177, 718, 26369, 31324, 478, 551, 1309, 294, 1360, 14970, 11204, 910, 5301, 715, 5994, 10413, 16303, 18, 365, 11023, 10933, 40141 ]
[ 3424, 2458, 10498, 1855, 282, 2901, 5353, 271, 749, 4700, 17, 3697, 1791, 281, 10337, 758, 23536, 18, 824, 3761, 42163, 16, 281, 3972, 4440, 779, 334, 41484, 4018, 779, 334, 4292, 8608, 31324, 282, 2145, 39281, 2364, 13332, 5781, 33844, 18, 478, 4408, 5833, 3538, 16, 481, 3440, 16, 828, 639, 3255, 16, 510, 5301, 9063, 18, 510, 365, 8151, 3990, 282, 34212, 15946, 464, 8926, 10952, 33844, 16, 282, 502, 808, 428, 282, 11130, 6705, 779, 697, 639, 5760, 861, 3397, 35675, 528, 2423, 600, 8123, 8383, 1016, 9526, 3623, 5848, 18071, 14820, 23563, 7341, 2206, 31324, 5781, 9657, 18, 528, 2423, 600, 12016, 16, 374, 282, 23991, 439, 5720, 2707, 282, 6104, 1045, 726, 906, 28386, 5517, 281, 4590, 2607, 33023, 951, 17, 21, 2238, 3033, 17615, 680, 2241, 1021, 39, 48, 30340, 1410, 7277, 87, 473, 7984, 945, 42306, 281, 7341, 2206, 20044, 17014, 478, 35172, 16, 282, 31324, 4452, 28386, 575, 20117, 910, 510, 5273, 35675, 18, 817, 8123, 9434, 16, 3176, 3731, 9044, 951, 17, 21, 639, 50154, 334, 37310, 31324, 282, 3178, 7426, 4256, 986, 289, 3176, 445, 898, 282, 2145, 518, 4289, 1281, 33844, 16, 5019, 1486, 1378, 282, 6551, 282, 12354, 4440, 779, 18, 365, 31324, 4881, 9961, 475, 22144, 282, 50128, 281, 1017, 7899, 16, 9474, 20582, 16, 374, 3731, 5782, 6814, 18164, 12566, 17, 9782, 282, 2145, 510, 43174, 2301, 13858, 1810, 19504, 18, 2124, 39378, 778, 5482, 31324, 282, 3507, 5962, 3455, 282, 1033, 828, 13332, 34183, 19504, 16, 367, 281, 6383, 779, 510, 567, 1209, 42017, 2241, 478, 38, 30144, 510, 17013, 1133, 19208, 910, 6895, 31324, 1409, 17133, 1130, 17145, 14755, 444, 18, 478, 3161, 9, 22621, 4559, 3453, 3084, 40402, 10621, 469, 47151, 626, 21954, 27218, 6446, 7923, 282, 29659, 1212, 5214, 31324, 16, 5907, 3400, 10858, 10206, 1640, 17106, 16, 3425, 7305, 853, 510, 3411, 382, 16, 309, 2588, 3906, 847, 16604, 16, 16263, 346, 19913, 8076, 910, 510, 10799, 4419, 4770, 2241, 31324, 334, 1175, 289, 16879, 4210, 32261, 6235, 18, 824, 25036, 31324, 16, 23007, 18164, 5500, 26186, 4652, 3425, 38582, 9206, 334, 6413, 272, 31324, 1409, 17133, 31, 5040, 8465, 282, 16571, 1888, 16957, 15038, 31324, 510, 360, 2555, 9, 519, 4317, 5999, 2, 1, 87, 1456, 81, 2448, 30, 10393, 8604, 3320, 478, 1916, 5381, 1880, 7441, 510, 13646, 3407, 22837, 470, 6816, 8045, 5539, 3424, 18137, 8811, 8231, 18, 824, 3163, 19683, 14840, 11413, 43261, 34030, 16, 639, 18966, 11969, 1743, 282, 2630, 281, 23057, 309, 19842, 394, 411, 17, 431, 3286, 8621, 478, 780, 3653, 526, 347, 861, 4756, 334, 6619, 290, 23907, 17175, 16, 46496, 1279, 3317, 9756, 27470, 14943, 14068, 831, 16, 898, 39895, 764, 9208, 7032, 478, 1916, 5381, 718, 4000, 861, 31224, 30, 26383, 21849, 857, 11969, 1743, 282, 4599, 15465, 3320, 478, 1916, 5381, 1880, 7441, 510, 13646, 3407, 22837, 470, 6816, 15888, 367, 334, 13229, 13223, 309, 19842, 394, 411, 17, 431, 3286, 8621, 478, 780, 3653, 526, 347, 470, 14943, 14068, 831, 18, 1367, 803, 8977, 12117, 5854, 11413, 11658, 34030, 18, 478, 12105, 49030, 1569, 11969, 1743, 334, 32329, 8150, 16, 9278, 434, 28095, 2123, 29, 11828, 1175, 473, 960, 4610, 468, 294, 2219, 954, 15154, 670, 3038, 272, 360, 722, 26366, 13, 910, 510, 9321, 34030, 18, 1253, 38349, 16, 374, 1743, 18966, 478, 1369, 13229, 27374, 427, 12457, 31593, 3320, 16, 19393, 2545, 5998, 282, 1767, 30211, 4889, 9302, 3536, 294, 3038, 272, 360, 30211, 32810, 8621, 282, 5324, 19842, 483, 424, 20129, 8886, 18802, 282, 4599, 15364, 16, 4284, 427, 16021, 289, 31665, 23082, 1585, 4151, 19842, 483, 861, 27695, 8231, 1038, 10703, 290, 49102, 15465, 4202, 478, 1916, 5381, 1880, 7441, 651, 13646, 3407, 22837, 470, 6816, 8045, 5539, 18, 365, 2615, 445, 505, 18137, 1939, 3597, 289, 2797, 9973, 334, 6619, 290, 23907, 2517, 8974, 5179, 21359, 27585, 4801, 394, 5539, 510, 23394, 27470, 14943, 14068, 831, 18, 3529, 8045, 5539, 34309, 424, 15028, 2977, 290, 6327, 4695, 16, 453, 428, 583, 492, 322, 13694, 48673, 8465, 282, 23907, 2517, 18, 11101, 478, 29025, 507, 470, 282, 17329, 20043, 9848, 16, 374, 1441, 15888, 685, 20817, 334, 3424, 1283, 14354, 44773, 18, 3695, 3597, 20334, 291, 21099, 1551, 4534, 6341, 6746, 3064, 11923, 7680, 6816, 8045, 5539, 20888, 18, 478, 1916, 540, 6189, 662, 14160, 29085, 16, 13125, 319, 282, 4599, 41629, 8045, 5539, 21743, 32174, 282, 2100, 12851, 424, 32496, 23424, 519, 2287, 4120, 910, 510, 2323, 16044, 28644, 2230, 15561, 18, 1591, 808, 33691, 9543, 15888, 13749, 1423, 16789, 16, 4437, 6954, 16, 374, 13382, 282, 23907, 17175, 411, 17, 431, 924, 16, 374, 898, 478, 262, 8106, 2626, 505, 5556, 834, 5084, 861, 967, 803, 492, 3828, 16, 374, 1188, 23907, 11502, 478, 397, 2609, 1166, 4621, 16, 5332, 2504, 322, 21036, 289, 322, 3619, 5632, 801, 861, 478, 732, 22796, 1398, 898, 8888, 2626, 5556, 834, 5084, 18, 889, 5034, 549, 11891, 16, 1586, 6723, 798, 1279, 703, 18, 629, 322, 5482, 4612, 16, 5482, 4612, 510, 1177, 6793, 18, 1178, 373, 505, 322, 639, 16, 703, 373, 1373, 322, 639, 910, 510, 2815, 15888, 18, 365, 1500, 575, 1119, 898, 39895, 764, 6501, 5120, 14100, 1101, 290, 23907, 17175, 30, 14179, 421, 2128, 1918, 321, 289, 3720, 504, 525, 609, 18, 1303, 5688, 2906, 3929, 19157, 3320, 478, 1916, 5381, 1880, 7441, 510, 13646, 3407, 22837, 861, 985, 289, 1614, 5167, 8045, 16028, 16, 773, 639, 49837, 22204, 334, 7705, 2261, 27, 11828, 2407, 478, 1140, 5604, 9626, 43988, 670, 25944, 11244, 861, 985, 3828, 17144, 6965, 7897, 16, 421, 2128, 1918, 321, 289, 504, 525, 609, 25262, 1423, 16789, 18, 478, 983, 525, 609, 1056, 40715, 282, 1949, 23907, 17175, 18, 5741, 4160, 282, 13324, 9543, 15888, 16, 5020, 5037, 521, 17567, 6816, 8045, 5539, 16, 289, 504, 525, 609, 12011, 2311, 8185, 16248, 478, 730, 368, 470, 27470, 14068, 831, 910, 510, 4848, 7897, 18, 824, 505, 3163, 16, 1286, 3597, 282, 12595, 426, 1038, 15888, 289, 504, 525, 609, 10073, 424, 19890, 19842, 269, 478, 3096, 399, 319, 861, 504, 525, 609, 4848, 24382, 17329, 6431, 16, 374, 23907, 317, 19842, 287, 685, 5069, 281, 3195, 7735, 4930, 6063, 28614, 4946, 21497, 16, 367, 50231, 19273, 281, 1420, 898, 12011, 15697, 289, 1763, 331, 10197 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3424, 2458, 10498, 1855, 282, 2901, 5353, 271, 749, 4700, 17, 3697, 1791, 281, 10337, 758, 23536, 18, 824, 3761, 42163, 16, 281, 3972, 4440, 779, 334, 41484, 4018, 779, 334, 4292, 8608, 31324, 282, 2145, 39281, 2364, 13332, 5781, 33844, 18, 478, 4408, 5833, 3538, 16, 481, 3440, 16, 828, 639, 3255, 16, 510, 5301, 9063, 18, 510, 365, 8151, 3990, 282, 34212, 15946, 464, 8926, 10952, 33844, 16, 282, 502, 808, 428, 282, 11130, 6705, 779, 697, 639, 5760, 861, 3397, 35675, 528, 2423, 600, 8123, 8383, 1016, 9526, 3623, 5848, 18071, 14820, 23563, 7341, 2206, 31324, 5781, 9657, 18, 528, 2423, 600, 12016, 16, 374, 282, 23991, 439, 5720, 2707, 282, 6104, 1045, 726, 906, 28386, 5517, 281, 4590, 2607, 33023, 951, 17, 21, 2238, 3033, 17615, 680, 2241, 1021, 39, 48, 30340, 1410, 7277, 87, 473, 7984, 945, 42306, 281, 7341, 2206, 20044, 17014, 478, 35172, 16, 282, 31324, 4452, 28386, 575, 20117, 910, 510, 5273, 35675, 18, 817, 8123, 9434, 16, 3176, 3731, 9044, 951, 17, 21, 639, 50154, 334, 37310, 31324, 282, 3178, 7426, 4256, 986, 289, 3176, 445, 898, 282, 2145, 518, 4289, 1281, 33844, 16, 5019, 1486, 1378, 282, 6551, 282, 12354, 4440, 779, 18, 365, 31324, 4881, 9961, 475, 22144, 282, 50128, 281, 1017, 7899, 16, 9474, 20582, 16, 374, 3731, 5782, 6814, 18164, 12566, 17, 9782, 282, 2145, 510, 43174, 2301, 13858, 1810, 19504, 18, 2124, 39378, 778, 5482, 31324, 282, 3507, 5962, 3455, 282, 1033, 828, 13332, 34183, 19504, 16, 367, 281, 6383, 779, 510, 567, 1209, 42017, 2241, 478, 38, 30144, 510, 17013, 1133, 19208, 910, 6895, 31324, 1409, 17133, 1130, 17145, 14755, 444, 18, 478, 3161, 9, 22621, 4559, 3453, 3084, 40402, 10621, 469, 47151, 626, 21954, 27218, 6446, 7923, 282, 29659, 1212, 5214, 31324, 16, 5907, 3400, 10858, 10206, 1640, 17106, 16, 3425, 7305, 853, 510, 3411, 382, 16, 309, 2588, 3906, 847, 16604, 16, 16263, 346, 19913, 8076, 910, 510, 10799, 4419, 4770, 2241, 31324, 334, 1175, 289, 16879, 4210, 32261, 6235, 18, 824, 25036, 31324, 16, 23007, 18164, 5500, 26186, 4652, 3425, 38582, 9206, 334, 6413, 272, 31324, 1409, 17133, 31, 5040, 8465, 282, 16571, 1888, 16957, 15038, 31324, 510, 360, 2555, 9, 519, 4317, 5999, 2, 1, 87, 1456, 81, 2448, 30, 10393, 8604, 3320, 478, 1916, 5381, 1880, 7441, 510, 13646, 3407, 22837, 470, 6816, 8045, 5539, 3424, 18137, 8811, 8231, 18, 824, 3163, 19683, 14840, 11413, 43261, 34030, 16, 639, 18966, 11969, 1743, 282, 2630, 281, 23057, 309, 19842, 394, 411, 17, 431, 3286, 8621, 478, 780, 3653, 526, 347, 861, 4756, 334, 6619, 290, 23907, 17175, 16, 46496, 1279, 3317, 9756, 27470, 14943, 14068, 831, 16, 898, 39895, 764, 9208, 7032, 478, 1916, 5381, 718, 4000, 861, 31224, 30, 26383, 21849, 857, 11969, 1743, 282, 4599, 15465, 3320, 478, 1916, 5381, 1880, 7441, 510, 13646, 3407, 22837, 470, 6816, 15888, 367, 334, 13229, 13223, 309, 19842, 394, 411, 17, 431, 3286, 8621, 478, 780, 3653, 526, 347, 470, 14943, 14068, 831, 18, 1367, 803, 8977, 12117, 5854, 11413, 11658, 34030, 18, 478, 12105, 49030, 1569, 11969, 1743, 334, 32329, 8150, 16, 9278, 434, 28095, 2123, 29, 11828, 1175, 473, 960, 4610, 468, 294, 2219, 954, 15154, 670, 3038, 272, 360, 722, 26366, 13, 910, 510, 9321, 34030, 18, 1253, 38349, 16, 374, 1743, 18966, 478, 1369, 13229, 27374, 427, 12457, 31593, 3320, 16, 19393, 2545, 5998, 282, 1767, 30211, 4889, 9302, 3536, 294, 3038, 272, 360, 30211, 32810, 8621, 282, 5324, 19842, 483, 424, 20129, 8886, 18802, 282, 4599, 15364, 16, 4284, 427, 16021, 289, 31665, 23082, 1585, 4151, 19842, 483, 861, 27695, 8231, 1038, 10703, 290, 49102, 15465, 4202, 478, 1916, 5381, 1880, 7441, 651, 13646, 3407, 22837, 470, 6816, 8045, 5539, 18, 365, 2615, 445, 505, 18137, 1939, 3597, 289, 2797, 9973, 334, 6619, 290, 23907, 2517, 8974, 5179, 21359, 27585, 4801, 394, 5539, 510, 23394, 27470, 14943, 14068, 831, 18, 3529, 8045, 5539, 34309, 424, 15028, 2977, 290, 6327, 4695, 16, 453, 428, 583, 492, 322, 13694, 48673, 8465, 282, 23907, 2517, 18, 11101, 478, 29025, 507, 470, 282, 17329, 20043, 9848, 16, 374, 1441, 15888, 685, 20817, 334, 3424, 1283, 14354, 44773, 18, 3695, 3597, 20334, 291, 21099, 1551, 4534, 6341, 6746, 3064, 11923, 7680, 6816, 8045, 5539, 20888, 18, 478, 1916, 540, 6189, 662, 14160, 29085, 16, 13125, 319, 282, 4599, 41629, 8045, 5539, 21743, 32174, 282, 2100, 12851, 424, 32496, 23424, 519, 2287, 4120, 910, 510, 2323, 16044, 28644, 2230, 15561, 18, 1591, 808, 33691, 9543, 15888, 13749, 1423, 16789, 16, 4437, 6954, 16, 374, 13382, 282, 23907, 17175, 411, 17, 431, 924, 16, 374, 898, 478, 262, 8106, 2626, 505, 5556, 834, 5084, 861, 967, 803, 492, 3828, 16, 374, 1188, 23907, 11502, 478, 397, 2609, 1166, 4621, 16, 5332, 2504, 322, 21036, 289, 322, 3619, 5632, 801, 861, 478, 732, 22796, 1398, 898, 8888, 2626, 5556, 834, 5084, 18, 889, 5034, 549, 11891, 16, 1586, 6723, 798, 1279, 703, 18, 629, 322, 5482, 4612, 16, 5482, 4612, 510, 1177, 6793, 18, 1178, 373, 505, 322, 639, 16, 703, 373, 1373, 322, 639, 910, 510, 2815, 15888, 18, 365, 1500, 575, 1119, 898, 39895, 764, 6501, 5120, 14100, 1101, 290, 23907, 17175, 30, 14179, 421, 2128, 1918, 321, 289, 3720, 504, 525, 609, 18, 1303, 5688, 2906, 3929, 19157, 3320, 478, 1916, 5381, 1880, 7441, 510, 13646, 3407, 22837, 861, 985, 289, 1614, 5167, 8045, 16028, 16, 773, 639, 49837, 22204, 334, 7705, 2261, 27, 11828, 2407, 478, 1140, 5604, 9626, 43988, 670, 25944, 11244, 861, 985, 3828, 17144, 6965, 7897, 16, 421, 2128, 1918, 321, 289, 504, 525, 609, 25262, 1423, 16789, 18, 478, 983, 525, 609, 1056, 40715, 282, 1949, 23907, 17175, 18, 5741, 4160, 282, 13324, 9543, 15888, 16, 5020, 5037, 521, 17567, 6816, 8045, 5539, 16, 289, 504, 525, 609, 12011, 2311, 8185, 16248, 478, 730, 368, 470, 27470, 14068, 831, 910, 510, 4848, 7897, 18, 824, 505, 3163, 16, 1286, 3597, 282, 12595, 426, 1038, 15888, 289, 504, 525, 609, 10073, 424, 19890, 19842, 269, 478, 3096, 399, 319, 861, 504, 525, 609, 4848, 24382, 17329, 6431, 16, 374, 23907, 317, 19842, 287, 685, 5069, 281, 3195, 7735, 4930, 6063, 28614, 4946, 21497, 16, 367, 50231, 19273, 281, 1420, 898, 12011, 15697, 289, 1763, 331, 10197 ]
[ 282, 5796, 289, 3966, 18, 1912, 3597, 282, 2630, 281, 31780, 5263, 1134, 282, 4459, 19842, 483, 477, 1963, 23036, 8621, 478, 780, 3653, 526, 347, 470, 14943, 14068, 831, 9770, 47377, 282, 1175, 5219, 1734, 5324, 19842, 483, 478, 47963, 332, 4889, 470, 289, 478, 41820, 2749, 12773, 470, 3038, 862, 360, 13006, 354, 27871, 1809, 9756, 18, 365, 3781, 17, 31508, 2067, 2248, 2439, 16170, 16, 374, 2174, 3003, 639, 7239, 281, 5173, 49901, 3633, 15364, 18, 478, 8706, 1979, 639, 7239, 282, 18247, 3623, 3338, 15364, 16, 753, 48549, 697, 360, 16447, 16, 961, 895, 810, 9976, 1857, 8621, 910, 510, 10703, 478, 46088, 18, 8381, 470, 6187, 334, 42604, 281, 45159, 20783, 1734, 5324, 19842, 483, 478, 41820, 2749, 12773, 470, 289, 478, 47963, 332, 46212, 470, 6816, 1870, 2675, 22686, 18, 1681, 478, 312, 9340, 470, 9770, 478, 47963, 1018, 4889, 470, 289, 478, 41820, 2749, 16572, 910, 8084, 16, 14022, 4262, 19311, 6641, 891, 289, 23907, 8301, 16, 46496, 1279, 3317, 1857, 291, 478, 780, 3653, 526, 700, 470, 282, 33303, 950, 5797, 26955, 8621, 18, 365, 4810, 16, 282, 3765, 309, 5741, 4160, 34591, 13032, 326, 478, 28465, 4325, 526, 29096, 401, 470, 282, 8794, 16248, 478, 47318, 6936, 910, 988, 17123, 305, 11027, 478, 11201, 630, 478, 730, 368, 470, 510, 6632, 9960, 5581, 27470, 478, 780, 3653, 526, 700, 470, 14943, 14068, 831, 18, 1032, 3597, 282, 29375, 4322, 8181, 396, 23074, 1507, 33979, 2789, 19842, 287, 478, 684, 33092, 470, 309, 608, 10589, 263, 16, 367, 16, 785, 975, 481, 322, 3225, 16, 424, 20588, 5554, 18, 640, 2797, 12862, 25935, 742, 14403, 16, 374, 12983, 23907, 317, 282, 8408, 19762, 1279, 3286, 478, 780, 3653, 526, 700, 861, 2287, 3597, 282, 1119, 529, 24339, 434, 3286, 478, 780, 3653, 526, 700, 470, 282, 3507, 16, 34591, 12011, 2311, 1871, 4621, 329, 21359, 27585, 4801, 394, 5539, 16, 23394, 27470, 14943, 14068, 831, 18, 640, 2468, 13631, 898, 44303, 318, 35338, 477, 6173, 478, 3693, 1789, 16198, 554, 1230, 2094, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 5324, 6181, 311, 511, 320, 8508, 8900, 2537, 16596, 24652, 478, 732, 844, 23595, 2347, 910, 2019, 2024, 12731, 1390, 309, 34194, 26155, 779, 18, 365, 5703, 582, 32539, 16, 428, 6269, 289, 17170, 2140, 4716, 334, 19694, 702, 294, 6527, 16, 367, 2512, 13524, 467, 282, 4636, 9328, 18, 31224, 30, 33929, 1162, 19536, 549, 10177, 1021, 40344, 40623, 311, 511, 320, 44088, 16, 5897, 5708, 8900, 48759, 46992, 464, 11314, 434, 24652, 478, 732, 844, 23595, 2347, 910, 2019, 2024, 12731, 1390, 309, 34194, 13111, 779, 18, 365, 5626, 26838, 35274, 411, 20134, 17035, 16, 282, 502, 575, 808, 16188, 11338, 12362, 11422, 4832, 1318, 4654, 281, 11711, 353, 16, 349, 961, 1747, 11203, 7190, 11062, 280, 3920, 18203, 295, 18, 41651, 16, 374, 18153, 726, 48981, 282, 43534, 4419, 510, 481, 1556, 282, 5492, 36883, 16, 25228, 282, 20212, 50252, 883, 45416, 18, 2949, 924, 16, 36335, 16, 1029, 749, 14167, 27516, 483, 28470, 322, 1033, 16, 828, 2555, 7264, 16, 31167, 16, 428, 6269, 289, 17170, 13122, 2140, 4716, 334, 19694, 702, 294, 6527, 16, 367, 2512, 40110, 18, 478, 40881, 3035, 289, 6269, 18, 8413, 2110, 9518, 478, 732, 10654, 23595, 2347, 470, 15516, 282, 12335, 910, 510, 31999, 20133, 294, 311, 511, 4276, 18, 3900, 758, 40975, 5626, 2458, 32161, 7934, 11062, 280, 3920, 6582, 2161, 607, 510, 30223, 291, 37452, 16, 22409, 289, 5762, 18, 365, 5703, 582, 32539, 16, 428, 6269, 4686, 349, 14693, 41947, 30050, 30223, 291, 45590, 16, 367, 2512, 510, 23727, 16, 282, 502, 808, 428, 5627, 33087, 594, 7529, 49303, 18, 2112, 924, 16, 428, 311, 511, 320, 685, 18913, 16, 43775, 2161, 607, 22060, 5978, 2838, 2710, 17, 299, 6517, 382, 309, 26014, 11618, 18, 996, 16, 334, 2059, 411, 48086, 16, 5251, 3050, 30248, 1251, 21988, 1907, 368, 1134, 289, 5578, 14864, 309, 28425, 3035, 339, 5871, 404, 18, 7699, 5501, 925, 16, 374, 7477, 7021, 12713, 6492, 20509, 307, 38190, 895, 31240, 16619, 1642, 18, 4756, 14686, 9778, 21933, 33003, 9851, 2467, 1624, 10193, 334, 5703, 14008, 39125, 272, 282, 4332, 547, 46992, 464, 11314, 547, 43534, 478, 732, 844, 23595, 2347, 910, 2815, 1624, 374, 322, 4040, 7284, 506, 282, 4569, 275, 944, 2537, 16596, 5115, 16, 4813, 309, 502, 374, 11606, 1021, 40344, 726, 4452, 1195, 10276, 1082, 24176, 11338, 18, 478, 1916, 9769, 520, 417, 6273, 289, 28676, 1122, 764, 35, 832, 282, 1335, 1354, 16, 510, 4848, 33003, 9851, 2467, 282, 7337, 23668, 18, 510, 38710, 16, 294, 7555, 16, 703, 18, 1178, 360, 1024, 5466, 519, 2887, 18351, 434, 10390, 540, 478, 732, 10654, 23595, 2347, 910, 502, 481, 1715, 1533, 986, 3212, 1354, 18, 365, 502, 575, 808, 25372, 14403, 16, 374, 14881, 2235, 281, 26696, 334, 10276, 10217, 14597, 2438, 541, 1047, 15072, 10421, 3276, 11549, 979, 18, 478, 3693, 551, 1979, 42326, 639, 16, 13649, 16, 939, 8684, 2854, 32125, 16, 2686, 6509, 3276, 417, 373, 505, 322, 8566, 18, 629, 9033, 709, 282, 478, 732, 13966, 23595, 2347, 470, 10394, 281, 18351, 416, 7756, 16, 309, 7266, 1715, 5544, 986, 1354, 16, 481, 2402, 2844, 15042, 282, 9778, 680, 24087, 18, 1483, 4214, 281, 1335, 18283, 639, 541, 703, 15072, 10421, 3276, 17192, 910, 510, 4848, 492, 18, 365, 3998, 3972, 9916, 15947, 19432, 1624, 5184, 18864, 33485, 478, 36382, 1068, 20447, 289, 19682, 470, 289, 39762, 28794, 478, 732, 10654, 23595, 2347, 910, 2815, 16, 374, 15279, 10205, 17355, 24652, 18, 824, 505, 11346, 2987, 16, 8183, 11338, 11730, 373, 22801, 38419, 6962, 455, 16, 515, 469, 27984, 16573, 373, 309, 34613, 1378, 7951, 13001, 18, 817, 4848, 16, 374, 12879, 811, 17675, 323, 18774, 44360, 3533, 347, 478, 730, 389, 286, 273, 616, 321, 289, 26038, 2895, 1318, 268, 5231, 560, 910, 1586, 906, 27819, 282, 18560, 1045, 289, 23590, 309, 442, 298, 2922, 264, 1846, 547, 4460, 763, 48678, 478, 1009, 395, 1123, 861, 365, 8497, 17, 277, 44360, 3533, 280, 935, 6867, 28962, 3064, 1423, 2768, 16, 282, 1754, 5371, 751, 528, 25496, 14458, 280, 1496, 289, 10648, 22768, 18, 478, 11233, 764, 322, 3225, 15408, 2994, 19560, 1310, 300, 65, 1021, 40344, 282, 970, 16, 374, 481, 12031, 7865, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 5796, 289, 3966, 18, 1912, 3597, 282, 2630, 281, 31780, 5263, 1134, 282, 4459, 19842, 483, 477, 1963, 23036, 8621, 478, 780, 3653, 526, 347, 470, 14943, 14068, 831, 9770, 47377, 282, 1175, 5219, 1734, 5324, 19842, 483, 478, 47963, 332, 4889, 470, 289, 478, 41820, 2749, 12773, 470, 3038, 862, 360, 13006, 354, 27871, 1809, 9756, 18, 365, 3781, 17, 31508, 2067, 2248, 2439, 16170, 16, 374, 2174, 3003, 639, 7239, 281, 5173, 49901, 3633, 15364, 18, 478, 8706, 1979, 639, 7239, 282, 18247, 3623, 3338, 15364, 16, 753, 48549, 697, 360, 16447, 16, 961, 895, 810, 9976, 1857, 8621, 910, 510, 10703, 478, 46088, 18, 8381, 470, 6187, 334, 42604, 281, 45159, 20783, 1734, 5324, 19842, 483, 478, 41820, 2749, 12773, 470, 289, 478, 47963, 332, 46212, 470, 6816, 1870, 2675, 22686, 18, 1681, 478, 312, 9340, 470, 9770, 478, 47963, 1018, 4889, 470, 289, 478, 41820, 2749, 16572, 910, 8084, 16, 14022, 4262, 19311, 6641, 891, 289, 23907, 8301, 16, 46496, 1279, 3317, 1857, 291, 478, 780, 3653, 526, 700, 470, 282, 33303, 950, 5797, 26955, 8621, 18, 365, 4810, 16, 282, 3765, 309, 5741, 4160, 34591, 13032, 326, 478, 28465, 4325, 526, 29096, 401, 470, 282, 8794, 16248, 478, 47318, 6936, 910, 988, 17123, 305, 11027, 478, 11201, 630, 478, 730, 368, 470, 510, 6632, 9960, 5581, 27470, 478, 780, 3653, 526, 700, 470, 14943, 14068, 831, 18, 1032, 3597, 282, 29375, 4322, 8181, 396, 23074, 1507, 33979, 2789, 19842, 287, 478, 684, 33092, 470, 309, 608, 10589, 263, 16, 367, 16, 785, 975, 481, 322, 3225, 16, 424, 20588, 5554, 18, 640, 2797, 12862, 25935, 742, 14403, 16, 374, 12983, 23907, 317, 282, 8408, 19762, 1279, 3286, 478, 780, 3653, 526, 700, 861, 2287, 3597, 282, 1119, 529, 24339, 434, 3286, 478, 780, 3653, 526, 700, 470, 282, 3507, 16, 34591, 12011, 2311, 1871, 4621, 329, 21359, 27585, 4801, 394, 5539, 16, 23394, 27470, 14943, 14068, 831, 18, 640, 2468, 13631, 898, 44303, 318, 35338, 477, 6173, 478, 3693, 1789, 16198, 554, 1230, 2094, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 5324, 6181, 311, 511, 320, 8508, 8900, 2537, 16596, 24652, 478, 732, 844, 23595, 2347, 910, 2019, 2024, 12731, 1390, 309, 34194, 26155, 779, 18, 365, 5703, 582, 32539, 16, 428, 6269, 289, 17170, 2140, 4716, 334, 19694, 702, 294, 6527, 16, 367, 2512, 13524, 467, 282, 4636, 9328, 18, 31224, 30, 33929, 1162, 19536, 549, 10177, 1021, 40344, 40623, 311, 511, 320, 44088, 16, 5897, 5708, 8900, 48759, 46992, 464, 11314, 434, 24652, 478, 732, 844, 23595, 2347, 910, 2019, 2024, 12731, 1390, 309, 34194, 13111, 779, 18, 365, 5626, 26838, 35274, 411, 20134, 17035, 16, 282, 502, 575, 808, 16188, 11338, 12362, 11422, 4832, 1318, 4654, 281, 11711, 353, 16, 349, 961, 1747, 11203, 7190, 11062, 280, 3920, 18203, 295, 18, 41651, 16, 374, 18153, 726, 48981, 282, 43534, 4419, 510, 481, 1556, 282, 5492, 36883, 16, 25228, 282, 20212, 50252, 883, 45416, 18, 2949, 924, 16, 36335, 16, 1029, 749, 14167, 27516, 483, 28470, 322, 1033, 16, 828, 2555, 7264, 16, 31167, 16, 428, 6269, 289, 17170, 13122, 2140, 4716, 334, 19694, 702, 294, 6527, 16, 367, 2512, 40110, 18, 478, 40881, 3035, 289, 6269, 18, 8413, 2110, 9518, 478, 732, 10654, 23595, 2347, 470, 15516, 282, 12335, 910, 510, 31999, 20133, 294, 311, 511, 4276, 18, 3900, 758, 40975, 5626, 2458, 32161, 7934, 11062, 280, 3920, 6582, 2161, 607, 510, 30223, 291, 37452, 16, 22409, 289, 5762, 18, 365, 5703, 582, 32539, 16, 428, 6269, 4686, 349, 14693, 41947, 30050, 30223, 291, 45590, 16, 367, 2512, 510, 23727, 16, 282, 502, 808, 428, 5627, 33087, 594, 7529, 49303, 18, 2112, 924, 16, 428, 311, 511, 320, 685, 18913, 16, 43775, 2161, 607, 22060, 5978, 2838, 2710, 17, 299, 6517, 382, 309, 26014, 11618, 18, 996, 16, 334, 2059, 411, 48086, 16, 5251, 3050, 30248, 1251, 21988, 1907, 368, 1134, 289, 5578, 14864, 309, 28425, 3035, 339, 5871, 404, 18, 7699, 5501, 925, 16, 374, 7477, 7021, 12713, 6492, 20509, 307, 38190, 895, 31240, 16619, 1642, 18, 4756, 14686, 9778, 21933, 33003, 9851, 2467, 1624, 10193, 334, 5703, 14008, 39125, 272, 282, 4332, 547, 46992, 464, 11314, 547, 43534, 478, 732, 844, 23595, 2347, 910, 2815, 1624, 374, 322, 4040, 7284, 506, 282, 4569, 275, 944, 2537, 16596, 5115, 16, 4813, 309, 502, 374, 11606, 1021, 40344, 726, 4452, 1195, 10276, 1082, 24176, 11338, 18, 478, 1916, 9769, 520, 417, 6273, 289, 28676, 1122, 764, 35, 832, 282, 1335, 1354, 16, 510, 4848, 33003, 9851, 2467, 282, 7337, 23668, 18, 510, 38710, 16, 294, 7555, 16, 703, 18, 1178, 360, 1024, 5466, 519, 2887, 18351, 434, 10390, 540, 478, 732, 10654, 23595, 2347, 910, 502, 481, 1715, 1533, 986, 3212, 1354, 18, 365, 502, 575, 808, 25372, 14403, 16, 374, 14881, 2235, 281, 26696, 334, 10276, 10217, 14597, 2438, 541, 1047, 15072, 10421, 3276, 11549, 979, 18, 478, 3693, 551, 1979, 42326, 639, 16, 13649, 16, 939, 8684, 2854, 32125, 16, 2686, 6509, 3276, 417, 373, 505, 322, 8566, 18, 629, 9033, 709, 282, 478, 732, 13966, 23595, 2347, 470, 10394, 281, 18351, 416, 7756, 16, 309, 7266, 1715, 5544, 986, 1354, 16, 481, 2402, 2844, 15042, 282, 9778, 680, 24087, 18, 1483, 4214, 281, 1335, 18283, 639, 541, 703, 15072, 10421, 3276, 17192, 910, 510, 4848, 492, 18, 365, 3998, 3972, 9916, 15947, 19432, 1624, 5184, 18864, 33485, 478, 36382, 1068, 20447, 289, 19682, 470, 289, 39762, 28794, 478, 732, 10654, 23595, 2347, 910, 2815, 16, 374, 15279, 10205, 17355, 24652, 18, 824, 505, 11346, 2987, 16, 8183, 11338, 11730, 373, 22801, 38419, 6962, 455, 16, 515, 469, 27984, 16573, 373, 309, 34613, 1378, 7951, 13001, 18, 817, 4848, 16, 374, 12879, 811, 17675, 323, 18774, 44360, 3533, 347, 478, 730, 389, 286, 273, 616, 321, 289, 26038, 2895, 1318, 268, 5231, 560, 910, 1586, 906, 27819, 282, 18560, 1045, 289, 23590, 309, 442, 298, 2922, 264, 1846, 547, 4460, 763, 48678, 478, 1009, 395, 1123, 861, 365, 8497, 17, 277, 44360, 3533, 280, 935, 6867, 28962, 3064, 1423, 2768, 16, 282, 1754, 5371, 751, 528, 25496, 14458, 280, 1496, 289, 10648, 22768, 18, 478, 11233, 764, 322, 3225, 15408, 2994, 19560, 1310, 300, 65, 1021, 40344, 282, 970, 16, 374, 481, 12031, 7865, 16 ]
[ 515, 784, 2826, 5425, 2048, 374, 17, 299, 10647, 910, 510, 2815, 492, 282, 7337, 1273, 4339, 8000, 16303, 18, 365, 12938, 13205, 24036, 1021, 40344, 33362, 7794, 4569, 20490, 2537, 8317, 2161, 607, 18, 20405, 16, 374, 8183, 4090, 5115, 17601, 1812, 349, 4705, 2634, 986, 519, 6059, 478, 732, 10654, 23595, 2347, 861, 42881, 5703, 282, 1169, 2417, 10329, 4630, 1162, 21412, 289, 29410, 2016, 11898, 478, 49287, 470, 640, 21163, 38259, 19495, 289, 5834, 33256, 9778, 10167, 301, 44260, 890, 948, 1624, 10193, 334, 5703, 282, 43534, 478, 11648, 2674, 273, 861, 385, 10045, 382, 11338, 2411, 49919, 282, 12500, 26155, 779, 18, 365, 502, 575, 808, 16, 17978, 8421, 4569, 20490, 1055, 322, 7291, 16, 2686, 282, 7847, 1045, 5854, 22065, 9126, 440, 504, 5499, 267, 25865, 16, 374, 23383, 4569, 20490, 16, 827, 4871, 840, 47541, 16, 9934, 322, 4419, 828, 1248, 1205, 1011, 21451, 478, 732, 10654, 23595, 2347, 861, 2, 1, 87, 1456, 81, 2448, 30, 21116, 800, 17, 436, 931, 320, 16653, 26769, 7753, 28416, 2815, 16, 374, 3771, 11834, 3003, 290, 2518, 763, 8465, 282, 4874, 31679, 680, 5767, 40614, 20022, 1011, 13516, 6789, 31165, 3320, 18, 4756, 19186, 40271, 30759, 14668, 43036, 20022, 16, 3387, 309, 1169, 7187, 16738, 1086, 6152, 42995, 933, 32037, 16, 4813, 309, 502, 374, 697, 16188, 322, 30771, 309, 14668, 18, 22987, 12483, 30889, 332, 481, 428, 40966, 3173, 289, 18889, 15092, 2768, 18, 31224, 30, 21116, 800, 17, 436, 931, 320, 16934, 1624, 5037, 7583, 27940, 282, 4874, 31679, 680, 5767, 40614, 20022, 7753, 28416, 2815, 16, 374, 3003, 381, 18995, 1175, 282, 13420, 23143, 5767, 40614, 840, 7239, 1011, 13516, 6789, 31165, 3320, 16, 309, 2114, 1404, 3192, 266, 42995, 933, 22833, 1437, 18, 824, 505, 3163, 16, 282, 6099, 360, 14914, 6208, 6789, 31165, 20022, 16, 3771, 11834, 3003, 290, 20630, 617, 1810, 282, 4874, 31679, 680, 5767, 40614, 3320, 18, 4338, 19186, 40271, 30759, 3049, 567, 808, 13516, 43036, 20022, 282, 24000, 18, 29609, 2438, 12006, 15778, 1778, 371, 1609, 4543, 349, 42995, 1133, 41934, 16, 9848, 28416, 18, 33671, 43579, 289, 5184, 2059, 411, 42995, 933, 22833, 1437, 322, 6498, 309, 14668, 5767, 40614, 289, 322, 13349, 925, 381, 803, 6789, 42022, 289, 11050, 43036, 28893, 1312, 423, 2873, 18, 365, 3198, 424, 25110, 13317, 3253, 43108, 622, 1967, 22833, 1437, 289, 43579, 294, 1498, 16, 10050, 11919, 1502, 18, 365, 2630, 281, 2184, 19186, 40271, 36044, 31372, 33126, 334, 31176, 38271, 16, 515, 7356, 3038, 16, 1011, 1660, 30759, 3049, 18, 478, 4348, 2916, 414, 10490, 1247, 334, 2856, 5083, 2994, 370, 20261, 21593, 12137, 41934, 65, 4804, 10091, 289, 6789, 35478, 552, 289, 23493, 282, 1078, 16, 374, 26587, 29862, 16, 428, 481, 15877, 334, 15778, 26310, 16, 745, 322, 20310, 18, 6023, 639, 10128, 282, 2630, 281, 2184, 16, 374, 481, 322, 2397, 5522, 7713, 18, 1345, 25684, 16, 374, 42788, 510, 481, 19261, 16, 289, 678, 2397, 6007, 18, 5452, 5400, 468, 15778, 1778, 4748, 541, 43108, 617, 4075, 5767, 40614, 16, 481, 1320, 2397, 6007, 18, 459, 16, 3210, 16, 2397, 6007, 12761, 594, 2339, 726, 3208, 6150, 541, 13269, 12360, 8921, 432, 28570, 282, 4599, 1175, 289, 16, 282, 7204, 1750, 16, 282, 4599, 2759, 27940, 910, 651, 384, 9848, 28416, 282, 27561, 281, 6653, 6122, 1171, 35442, 18, 824, 505, 4734, 16, 33126, 349, 24300, 41934, 12988, 925, 373, 16, 827, 44253, 5860, 455, 15605, 8148, 40271, 18, 7200, 44241, 12672, 7920, 2231, 2800, 347, 289, 3203, 27940, 4137, 9783, 296, 4929, 8566, 20966, 309, 11073, 26701, 588, 2679, 320, 1518, 289, 322, 3947, 364, 8421, 1175, 411, 43036, 20022, 18, 478, 1358, 3027, 23697, 4407, 2675, 16, 961, 813, 1314, 21635, 11679, 16, 745, 16, 6709, 16, 15501, 16, 1085, 4374, 329, 31331, 291, 1335, 3320, 16, 289, 1441, 16, 785, 745, 475, 813, 32745, 467, 16, 428, 3660, 16, 481, 8471, 16, 10777, 4538, 16, 2701, 9151, 18, 1178, 481, 840, 453, 30440, 16, 2874, 16289, 538, 322, 34150, 16, 541, 1660, 656, 3666, 6179, 17000, 16, 827, 1336, 6874, 34143, 3236, 49005, 1279, 2759, 34097, 910, 510, 5692, 492, 18, 37188, 16934, 6363, 6434, 313, 333, 5692, 16, 374, 3771, 322, 895, 12570, 282, 478, 12920, 304, 32353, 1709, 263, 861, 824, 505, 4734, 16, 2003, 38487, 1992, 6579, 5743, 580, 4032, 295, 18, 21713, 27940, 16, 2615, 46984, 7920, 16934, 334, 25516, 289, 19956, 23613, 1606, 15561, 1038, 2815, 16, 374, 2003, 8249, 12631, 15778, 2272, 43036, 20022, 18, 824, 3163, 11919, 1183, 16, 282, 2630, 477, 29302, 21285, 3771, 1038, 895, 13079, 1247, 290, 14640, 582, 3203, 624, 282, 43036, 20022, 18, 478, 4348, 20915, 14668, 16, 1548, 374, 322, 3005, 16773, 870, 8739, 18, 3026, 26353, 12492, 282, 6900, 16, 1003, 7045, 15778, 2272, 416, 8424, 18, 608, 813, 912, 14440, 44253, 1279, 924, 16, 753, 3836, 15778, 2272, 282, 42995, 933, 9643, 16, 322, 16947, 7583, 27940, 9093, 23683, 16, 9093, 411, 10588, 1423, 10839, 910, 510, 9299, 1606, 15561, 282, 27561, 281, 727, 4742, 18, 4874, 41849, 1502, 13744, 16, 374, 3771, 5073, 3560, 3084, 3203, 778, 46204, 282, 43036, 20022, 18, 478, 16585, 18636, 4502, 2195, 1247, 290, 38204, 1335, 3320, 18, 439, 46204, 1175, 16, 1029, 656, 821, 3378, 16, 4896, 1033, 1286, 9, 360, 7343, 12512, 41833, 1209, 6367, 18, 2876, 1336, 1247, 510, 349, 1617, 2764, 656, 30198, 1759, 2257, 34146, 617, 16, 961, 9972, 322, 8297, 1007, 16, 1745, 982, 15140, 353, 16, 1745, 982, 20893, 6874, 18675, 1378, 6431, 5, 1303, 481, 1139, 3845, 484, 289, 33345, 18, 459, 656, 1143, 16773, 870, 34146, 617, 322, 3984, 4271, 510, 9299, 23613, 1606, 15561, 18, 3397, 282, 24000, 7312, 4055, 17, 274, 16544, 549, 580, 35073, 4874, 31679, 680, 5767, 40614, 20022, 16, 722, 17437, 9200, 510, 478, 5786, 911, 3162, 20394, 282, 4301, 20022, 30, 4119, 6296, 7245, 861, 4338, 1038, 2438, 3665, 16, 374, 19186, 40271, 322, 4040, 30429, 349, 6127, 7576, 31481, 1066, 43036, 20022, 16, 3387, 678, 9542, 1421, 5115, 22833, 1437, 16, 30494, 1279, 1175, 18, 2871, 8943, 32037, 19341, 33035, 289, 13328, 1162, 1963, 18, 8071, 6325, 36657, 8739, 835, 1631, 16, 961, 8641, 4247, 1756, 282, 14613, 289, 1888, 15209, 1175, 16, 20662, 22833, 783, 28501, 11020, 4143, 11220, 282, 13340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 515, 784, 2826, 5425, 2048, 374, 17, 299, 10647, 910, 510, 2815, 492, 282, 7337, 1273, 4339, 8000, 16303, 18, 365, 12938, 13205, 24036, 1021, 40344, 33362, 7794, 4569, 20490, 2537, 8317, 2161, 607, 18, 20405, 16, 374, 8183, 4090, 5115, 17601, 1812, 349, 4705, 2634, 986, 519, 6059, 478, 732, 10654, 23595, 2347, 861, 42881, 5703, 282, 1169, 2417, 10329, 4630, 1162, 21412, 289, 29410, 2016, 11898, 478, 49287, 470, 640, 21163, 38259, 19495, 289, 5834, 33256, 9778, 10167, 301, 44260, 890, 948, 1624, 10193, 334, 5703, 282, 43534, 478, 11648, 2674, 273, 861, 385, 10045, 382, 11338, 2411, 49919, 282, 12500, 26155, 779, 18, 365, 502, 575, 808, 16, 17978, 8421, 4569, 20490, 1055, 322, 7291, 16, 2686, 282, 7847, 1045, 5854, 22065, 9126, 440, 504, 5499, 267, 25865, 16, 374, 23383, 4569, 20490, 16, 827, 4871, 840, 47541, 16, 9934, 322, 4419, 828, 1248, 1205, 1011, 21451, 478, 732, 10654, 23595, 2347, 861, 2, 1, 87, 1456, 81, 2448, 30, 21116, 800, 17, 436, 931, 320, 16653, 26769, 7753, 28416, 2815, 16, 374, 3771, 11834, 3003, 290, 2518, 763, 8465, 282, 4874, 31679, 680, 5767, 40614, 20022, 1011, 13516, 6789, 31165, 3320, 18, 4756, 19186, 40271, 30759, 14668, 43036, 20022, 16, 3387, 309, 1169, 7187, 16738, 1086, 6152, 42995, 933, 32037, 16, 4813, 309, 502, 374, 697, 16188, 322, 30771, 309, 14668, 18, 22987, 12483, 30889, 332, 481, 428, 40966, 3173, 289, 18889, 15092, 2768, 18, 31224, 30, 21116, 800, 17, 436, 931, 320, 16934, 1624, 5037, 7583, 27940, 282, 4874, 31679, 680, 5767, 40614, 20022, 7753, 28416, 2815, 16, 374, 3003, 381, 18995, 1175, 282, 13420, 23143, 5767, 40614, 840, 7239, 1011, 13516, 6789, 31165, 3320, 16, 309, 2114, 1404, 3192, 266, 42995, 933, 22833, 1437, 18, 824, 505, 3163, 16, 282, 6099, 360, 14914, 6208, 6789, 31165, 20022, 16, 3771, 11834, 3003, 290, 20630, 617, 1810, 282, 4874, 31679, 680, 5767, 40614, 3320, 18, 4338, 19186, 40271, 30759, 3049, 567, 808, 13516, 43036, 20022, 282, 24000, 18, 29609, 2438, 12006, 15778, 1778, 371, 1609, 4543, 349, 42995, 1133, 41934, 16, 9848, 28416, 18, 33671, 43579, 289, 5184, 2059, 411, 42995, 933, 22833, 1437, 322, 6498, 309, 14668, 5767, 40614, 289, 322, 13349, 925, 381, 803, 6789, 42022, 289, 11050, 43036, 28893, 1312, 423, 2873, 18, 365, 3198, 424, 25110, 13317, 3253, 43108, 622, 1967, 22833, 1437, 289, 43579, 294, 1498, 16, 10050, 11919, 1502, 18, 365, 2630, 281, 2184, 19186, 40271, 36044, 31372, 33126, 334, 31176, 38271, 16, 515, 7356, 3038, 16, 1011, 1660, 30759, 3049, 18, 478, 4348, 2916, 414, 10490, 1247, 334, 2856, 5083, 2994, 370, 20261, 21593, 12137, 41934, 65, 4804, 10091, 289, 6789, 35478, 552, 289, 23493, 282, 1078, 16, 374, 26587, 29862, 16, 428, 481, 15877, 334, 15778, 26310, 16, 745, 322, 20310, 18, 6023, 639, 10128, 282, 2630, 281, 2184, 16, 374, 481, 322, 2397, 5522, 7713, 18, 1345, 25684, 16, 374, 42788, 510, 481, 19261, 16, 289, 678, 2397, 6007, 18, 5452, 5400, 468, 15778, 1778, 4748, 541, 43108, 617, 4075, 5767, 40614, 16, 481, 1320, 2397, 6007, 18, 459, 16, 3210, 16, 2397, 6007, 12761, 594, 2339, 726, 3208, 6150, 541, 13269, 12360, 8921, 432, 28570, 282, 4599, 1175, 289, 16, 282, 7204, 1750, 16, 282, 4599, 2759, 27940, 910, 651, 384, 9848, 28416, 282, 27561, 281, 6653, 6122, 1171, 35442, 18, 824, 505, 4734, 16, 33126, 349, 24300, 41934, 12988, 925, 373, 16, 827, 44253, 5860, 455, 15605, 8148, 40271, 18, 7200, 44241, 12672, 7920, 2231, 2800, 347, 289, 3203, 27940, 4137, 9783, 296, 4929, 8566, 20966, 309, 11073, 26701, 588, 2679, 320, 1518, 289, 322, 3947, 364, 8421, 1175, 411, 43036, 20022, 18, 478, 1358, 3027, 23697, 4407, 2675, 16, 961, 813, 1314, 21635, 11679, 16, 745, 16, 6709, 16, 15501, 16, 1085, 4374, 329, 31331, 291, 1335, 3320, 16, 289, 1441, 16, 785, 745, 475, 813, 32745, 467, 16, 428, 3660, 16, 481, 8471, 16, 10777, 4538, 16, 2701, 9151, 18, 1178, 481, 840, 453, 30440, 16, 2874, 16289, 538, 322, 34150, 16, 541, 1660, 656, 3666, 6179, 17000, 16, 827, 1336, 6874, 34143, 3236, 49005, 1279, 2759, 34097, 910, 510, 5692, 492, 18, 37188, 16934, 6363, 6434, 313, 333, 5692, 16, 374, 3771, 322, 895, 12570, 282, 478, 12920, 304, 32353, 1709, 263, 861, 824, 505, 4734, 16, 2003, 38487, 1992, 6579, 5743, 580, 4032, 295, 18, 21713, 27940, 16, 2615, 46984, 7920, 16934, 334, 25516, 289, 19956, 23613, 1606, 15561, 1038, 2815, 16, 374, 2003, 8249, 12631, 15778, 2272, 43036, 20022, 18, 824, 3163, 11919, 1183, 16, 282, 2630, 477, 29302, 21285, 3771, 1038, 895, 13079, 1247, 290, 14640, 582, 3203, 624, 282, 43036, 20022, 18, 478, 4348, 20915, 14668, 16, 1548, 374, 322, 3005, 16773, 870, 8739, 18, 3026, 26353, 12492, 282, 6900, 16, 1003, 7045, 15778, 2272, 416, 8424, 18, 608, 813, 912, 14440, 44253, 1279, 924, 16, 753, 3836, 15778, 2272, 282, 42995, 933, 9643, 16, 322, 16947, 7583, 27940, 9093, 23683, 16, 9093, 411, 10588, 1423, 10839, 910, 510, 9299, 1606, 15561, 282, 27561, 281, 727, 4742, 18, 4874, 41849, 1502, 13744, 16, 374, 3771, 5073, 3560, 3084, 3203, 778, 46204, 282, 43036, 20022, 18, 478, 16585, 18636, 4502, 2195, 1247, 290, 38204, 1335, 3320, 18, 439, 46204, 1175, 16, 1029, 656, 821, 3378, 16, 4896, 1033, 1286, 9, 360, 7343, 12512, 41833, 1209, 6367, 18, 2876, 1336, 1247, 510, 349, 1617, 2764, 656, 30198, 1759, 2257, 34146, 617, 16, 961, 9972, 322, 8297, 1007, 16, 1745, 982, 15140, 353, 16, 1745, 982, 20893, 6874, 18675, 1378, 6431, 5, 1303, 481, 1139, 3845, 484, 289, 33345, 18, 459, 656, 1143, 16773, 870, 34146, 617, 322, 3984, 4271, 510, 9299, 23613, 1606, 15561, 18, 3397, 282, 24000, 7312, 4055, 17, 274, 16544, 549, 580, 35073, 4874, 31679, 680, 5767, 40614, 20022, 16, 722, 17437, 9200, 510, 478, 5786, 911, 3162, 20394, 282, 4301, 20022, 30, 4119, 6296, 7245, 861, 4338, 1038, 2438, 3665, 16, 374, 19186, 40271, 322, 4040, 30429, 349, 6127, 7576, 31481, 1066, 43036, 20022, 16, 3387, 678, 9542, 1421, 5115, 22833, 1437, 16, 30494, 1279, 1175, 18, 2871, 8943, 32037, 19341, 33035, 289, 13328, 1162, 1963, 18, 8071, 6325, 36657, 8739, 835, 1631, 16, 961, 8641, 4247, 1756, 282, 14613, 289, 1888, 15209, 1175, 16, 20662, 22833, 783, 28501, 11020, 4143, 11220, 282, 13340 ]
[ 38789, 18, 7753, 28416, 2815, 16, 374, 282, 5329, 31481, 783, 9542, 1269, 21737, 15774, 16, 2686, 870, 1421, 41934, 334, 1360, 8331, 3929, 529, 19051, 530, 2435, 289, 39215, 1867, 12320, 20022, 18, 28416, 14676, 2904, 309, 502, 16, 374, 3333, 9047, 1967, 5930, 3673, 48005, 322, 309, 1804, 2662, 16, 367, 309, 914, 276, 3497, 292, 289, 22968, 7492, 34546, 18, 478, 4348, 5780, 290, 970, 16, 374, 518, 16188, 22833, 1437, 16, 961, 697, 15032, 16, 322, 6418, 1329, 3319, 3955, 289, 1387, 5808, 309, 22968, 7492, 34546, 18, 46498, 290, 970, 16, 374, 1299, 2003, 25217, 13061, 16, 961, 32727, 282, 3053, 11594, 22833, 1437, 18, 23976, 16, 282, 970, 1750, 16, 827, 16, 19206, 16, 4498, 3419, 290, 19078, 1631, 282, 1175, 16, 1513, 16, 753, 11919, 1502, 25773, 364, 282, 6551, 16, 827, 4498, 3419, 290, 14039, 16, 1513, 953, 282, 14039, 910, 510, 9848, 28416, 18, 12440, 18113, 25716, 322, 29294, 977, 294, 35632, 289, 12026, 6127, 7576, 31481, 1066, 16, 282, 2588, 898, 26734, 475, 1421, 41934, 16, 4813, 309, 44661, 7583, 27940, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 43788, 267, 14347, 12543, 4126, 334, 6619, 19128, 47615, 9001, 403, 342, 45615, 18, 9418, 281, 11350, 17, 11679, 47784, 411, 14683, 28500, 25100, 12017, 1116, 505, 31439, 282, 13148, 50100, 31116, 626, 282, 13186, 4479, 779, 18, 35157, 17029, 14267, 37163, 758, 289, 39205, 16, 374, 1272, 20174, 935, 322, 19394, 702, 281, 4413, 18, 31818, 2859, 31241, 475, 20546, 624, 6198, 289, 10218, 4126, 2513, 4269, 18, 31224, 30, 677, 11946, 282, 43788, 267, 14347, 35170, 7953, 448, 6612, 542, 334, 6619, 8337, 434, 19128, 47615, 9001, 403, 342, 45615, 289, 9501, 665, 16, 9798, 12063, 8231, 411, 5579, 17, 14723, 6816, 25100, 12017, 367, 18, 1606, 4434, 7723, 334, 327, 18, 430, 422, 18, 1939, 25, 18, 21, 11828, 2407, 473, 6761, 426, 1357, 282, 13073, 4846, 5998, 13, 289, 334, 2095, 816, 5628, 2555, 11828, 2407, 16, 7705, 4055, 29, 11828, 2407, 473, 14845, 897, 468, 309, 4154, 1545, 24537, 814, 999, 32247, 30252, 597, 9017, 16684, 519, 1533, 986, 17703, 8124, 16, 349, 24537, 510, 519, 1939, 986, 18, 25100, 12017, 272, 16, 3235, 924, 16, 584, 24145, 2168, 4364, 764, 289, 327, 18, 491, 422, 18, 3405, 22, 11828, 473, 32058, 6037, 539, 27315, 6617, 289, 29252, 814, 640, 11073, 1551, 5930, 364, 5848, 282, 48490, 9484, 1992, 4126, 18, 1681, 589, 2977, 290, 10832, 2210, 8191, 17737, 16, 20474, 282, 12564, 16, 7863, 289, 11675, 548, 26900, 9522, 18, 6158, 24853, 3064, 2159, 3003, 867, 16, 374, 1293, 970, 291, 411, 4974, 1101, 23042, 5507, 399, 478, 409, 4516, 315, 861, 6290, 6655, 1525, 17653, 19128, 23246, 403, 342, 45615, 24256, 977, 16338, 309, 7814, 2595, 30335, 281, 13847, 477, 2299, 37728, 18, 824, 722, 3163, 16, 13547, 309, 22678, 510, 3003, 37682, 18747, 27585, 9694, 700, 8863, 18, 1253, 10703, 1038, 381, 4190, 12519, 403, 342, 45615, 282, 35524, 478, 12145, 28713, 615, 470, 1624, 988, 492, 10114, 282, 2059, 23830, 281, 478, 4743, 406, 17, 299, 14647, 1703, 22186, 1305, 861, 1681, 29092, 403, 342, 15226, 19776, 764, 281, 3972, 4479, 779, 18, 817, 685, 22136, 334, 38601, 282, 13148, 50100, 31116, 626, 309, 5421, 1119, 1011, 924, 16, 428, 27414, 1551, 13749, 43182, 41400, 4797, 10566, 975, 289, 4310, 5120, 616, 2675, 1101, 290, 19674, 763, 309, 39064, 39741, 686, 507, 18, 365, 2343, 3597, 978, 779, 994, 3774, 8554, 18747, 1175, 3696, 857, 290, 34838, 15140, 18, 365, 1423, 3678, 16, 11675, 548, 403, 342, 45615, 17294, 887, 16, 374, 697, 424, 10336, 451, 322, 5354, 16228, 477, 19226, 6906, 4974, 1101, 18, 824, 7475, 18747, 16, 403, 342, 15226, 13504, 282, 4095, 15209, 2553, 14750, 10177, 411, 7571, 432, 16527, 16644, 289, 24951, 6684, 289, 6814, 33263, 36193, 424, 7848, 18242, 23661, 6166, 25479, 539, 11650, 1357, 3946, 5283, 324, 289, 33540, 718, 11523, 4802, 2118, 5273, 16, 374, 334, 7834, 272, 403, 342, 45615, 411, 12183, 478, 1724, 928, 1275, 470, 2828, 4490, 3463, 2125, 898, 19555, 289, 445, 2830, 649, 28366, 282, 15209, 7417, 1133, 2095, 16, 367, 2512, 13676, 282, 4975, 309, 7522, 16, 12215, 6503, 294, 1190, 475, 3531, 22613, 44369, 18, 2046, 2184, 48842, 2349, 13243, 8811, 18747, 16, 10570, 275, 282, 13186, 4479, 779, 282, 3580, 15637, 483, 263, 39186, 1767, 9404, 1562, 16, 31891, 4486, 41041, 41766, 8316, 45340, 18, 2112, 37728, 492, 8641, 7846, 16, 374, 1974, 281, 22747, 3317, 33883, 294, 31116, 1744, 281, 5173, 5836, 7904, 14621, 424, 9444, 403, 342, 45615, 18, 18619, 282, 13324, 6382, 46026, 329, 11350, 17, 11679, 26932, 16, 17916, 18480, 43022, 473, 17561, 680, 49216, 15757, 4623, 13, 25100, 46184, 18, 365, 4122, 329, 1047, 898, 23076, 1449, 379, 313, 31242, 28197, 780, 16, 4795, 549, 13623, 354, 289, 17574, 38017, 18, 365, 7623, 2083, 16, 334, 3163, 23394, 37026, 15644, 401, 16, 505, 424, 10336, 451, 25100, 12017, 12860, 26136, 1423, 16789, 282, 18352, 763, 6617, 18, 640, 7953, 547, 11073, 25236, 2815, 43787, 290, 7896, 1166, 7167, 14267, 281, 327, 18, 491, 422, 18, 3405, 22, 309, 327, 18, 430, 16, 453, 428, 17586, 17201, 31044, 25100, 12017, 1116, 2180, 40677, 16, 367, 322, 282, 5271, 3463, 1562, 16, 428, 481, 12698, 22204, 18, 2949, 924, 16, 16220, 23466, 1551, 10205, 281, 9798, 6447, 26932, 14267, 282, 31116, 452, 18, 4756, 25100, 12017, 1727, 5077, 282, 36909, 8348, 16, 282, 2114, 22014, 16, 374, 26548, 22427, 360, 1047, 17187, 1279, 403, 342, 45615, 289, 8754, 300, 28147, 17450, 5897, 979, 18, 824, 3163, 25100, 46184, 16, 26548, 9694, 700, 8863, 4463, 4041, 22162, 289, 28773, 282, 23828, 1408, 697, 2797, 8783, 1613, 4371, 16, 1754, 11641, 300, 583, 16, 289, 935, 11836, 21492, 2742, 31116, 626, 510, 3436, 4189, 4479, 779, 18, 985, 12698, 25100, 12017, 282, 3988, 4931, 282, 35097, 4876, 16, 282, 27561, 281, 1498, 26548, 2815, 30, 478, 563, 1296, 265, 510, 2918, 11359, 1749, 16, 374, 773, 26270, 16, 1574, 3017, 289, 3029, 1973, 861, 3557, 322, 2619, 11350, 17, 7984, 945, 742, 14132, 46620, 25100, 12017, 33014, 309, 403, 342, 45615, 453, 289, 322, 4263, 16, 367, 2159, 3455, 282, 13148, 25054, 322, 13749, 18, 967, 49073, 282, 1551, 4431, 25100, 46184, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38789, 18, 7753, 28416, 2815, 16, 374, 282, 5329, 31481, 783, 9542, 1269, 21737, 15774, 16, 2686, 870, 1421, 41934, 334, 1360, 8331, 3929, 529, 19051, 530, 2435, 289, 39215, 1867, 12320, 20022, 18, 28416, 14676, 2904, 309, 502, 16, 374, 3333, 9047, 1967, 5930, 3673, 48005, 322, 309, 1804, 2662, 16, 367, 309, 914, 276, 3497, 292, 289, 22968, 7492, 34546, 18, 478, 4348, 5780, 290, 970, 16, 374, 518, 16188, 22833, 1437, 16, 961, 697, 15032, 16, 322, 6418, 1329, 3319, 3955, 289, 1387, 5808, 309, 22968, 7492, 34546, 18, 46498, 290, 970, 16, 374, 1299, 2003, 25217, 13061, 16, 961, 32727, 282, 3053, 11594, 22833, 1437, 18, 23976, 16, 282, 970, 1750, 16, 827, 16, 19206, 16, 4498, 3419, 290, 19078, 1631, 282, 1175, 16, 1513, 16, 753, 11919, 1502, 25773, 364, 282, 6551, 16, 827, 4498, 3419, 290, 14039, 16, 1513, 953, 282, 14039, 910, 510, 9848, 28416, 18, 12440, 18113, 25716, 322, 29294, 977, 294, 35632, 289, 12026, 6127, 7576, 31481, 1066, 16, 282, 2588, 898, 26734, 475, 1421, 41934, 16, 4813, 309, 44661, 7583, 27940, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 43788, 267, 14347, 12543, 4126, 334, 6619, 19128, 47615, 9001, 403, 342, 45615, 18, 9418, 281, 11350, 17, 11679, 47784, 411, 14683, 28500, 25100, 12017, 1116, 505, 31439, 282, 13148, 50100, 31116, 626, 282, 13186, 4479, 779, 18, 35157, 17029, 14267, 37163, 758, 289, 39205, 16, 374, 1272, 20174, 935, 322, 19394, 702, 281, 4413, 18, 31818, 2859, 31241, 475, 20546, 624, 6198, 289, 10218, 4126, 2513, 4269, 18, 31224, 30, 677, 11946, 282, 43788, 267, 14347, 35170, 7953, 448, 6612, 542, 334, 6619, 8337, 434, 19128, 47615, 9001, 403, 342, 45615, 289, 9501, 665, 16, 9798, 12063, 8231, 411, 5579, 17, 14723, 6816, 25100, 12017, 367, 18, 1606, 4434, 7723, 334, 327, 18, 430, 422, 18, 1939, 25, 18, 21, 11828, 2407, 473, 6761, 426, 1357, 282, 13073, 4846, 5998, 13, 289, 334, 2095, 816, 5628, 2555, 11828, 2407, 16, 7705, 4055, 29, 11828, 2407, 473, 14845, 897, 468, 309, 4154, 1545, 24537, 814, 999, 32247, 30252, 597, 9017, 16684, 519, 1533, 986, 17703, 8124, 16, 349, 24537, 510, 519, 1939, 986, 18, 25100, 12017, 272, 16, 3235, 924, 16, 584, 24145, 2168, 4364, 764, 289, 327, 18, 491, 422, 18, 3405, 22, 11828, 473, 32058, 6037, 539, 27315, 6617, 289, 29252, 814, 640, 11073, 1551, 5930, 364, 5848, 282, 48490, 9484, 1992, 4126, 18, 1681, 589, 2977, 290, 10832, 2210, 8191, 17737, 16, 20474, 282, 12564, 16, 7863, 289, 11675, 548, 26900, 9522, 18, 6158, 24853, 3064, 2159, 3003, 867, 16, 374, 1293, 970, 291, 411, 4974, 1101, 23042, 5507, 399, 478, 409, 4516, 315, 861, 6290, 6655, 1525, 17653, 19128, 23246, 403, 342, 45615, 24256, 977, 16338, 309, 7814, 2595, 30335, 281, 13847, 477, 2299, 37728, 18, 824, 722, 3163, 16, 13547, 309, 22678, 510, 3003, 37682, 18747, 27585, 9694, 700, 8863, 18, 1253, 10703, 1038, 381, 4190, 12519, 403, 342, 45615, 282, 35524, 478, 12145, 28713, 615, 470, 1624, 988, 492, 10114, 282, 2059, 23830, 281, 478, 4743, 406, 17, 299, 14647, 1703, 22186, 1305, 861, 1681, 29092, 403, 342, 15226, 19776, 764, 281, 3972, 4479, 779, 18, 817, 685, 22136, 334, 38601, 282, 13148, 50100, 31116, 626, 309, 5421, 1119, 1011, 924, 16, 428, 27414, 1551, 13749, 43182, 41400, 4797, 10566, 975, 289, 4310, 5120, 616, 2675, 1101, 290, 19674, 763, 309, 39064, 39741, 686, 507, 18, 365, 2343, 3597, 978, 779, 994, 3774, 8554, 18747, 1175, 3696, 857, 290, 34838, 15140, 18, 365, 1423, 3678, 16, 11675, 548, 403, 342, 45615, 17294, 887, 16, 374, 697, 424, 10336, 451, 322, 5354, 16228, 477, 19226, 6906, 4974, 1101, 18, 824, 7475, 18747, 16, 403, 342, 15226, 13504, 282, 4095, 15209, 2553, 14750, 10177, 411, 7571, 432, 16527, 16644, 289, 24951, 6684, 289, 6814, 33263, 36193, 424, 7848, 18242, 23661, 6166, 25479, 539, 11650, 1357, 3946, 5283, 324, 289, 33540, 718, 11523, 4802, 2118, 5273, 16, 374, 334, 7834, 272, 403, 342, 45615, 411, 12183, 478, 1724, 928, 1275, 470, 2828, 4490, 3463, 2125, 898, 19555, 289, 445, 2830, 649, 28366, 282, 15209, 7417, 1133, 2095, 16, 367, 2512, 13676, 282, 4975, 309, 7522, 16, 12215, 6503, 294, 1190, 475, 3531, 22613, 44369, 18, 2046, 2184, 48842, 2349, 13243, 8811, 18747, 16, 10570, 275, 282, 13186, 4479, 779, 282, 3580, 15637, 483, 263, 39186, 1767, 9404, 1562, 16, 31891, 4486, 41041, 41766, 8316, 45340, 18, 2112, 37728, 492, 8641, 7846, 16, 374, 1974, 281, 22747, 3317, 33883, 294, 31116, 1744, 281, 5173, 5836, 7904, 14621, 424, 9444, 403, 342, 45615, 18, 18619, 282, 13324, 6382, 46026, 329, 11350, 17, 11679, 26932, 16, 17916, 18480, 43022, 473, 17561, 680, 49216, 15757, 4623, 13, 25100, 46184, 18, 365, 4122, 329, 1047, 898, 23076, 1449, 379, 313, 31242, 28197, 780, 16, 4795, 549, 13623, 354, 289, 17574, 38017, 18, 365, 7623, 2083, 16, 334, 3163, 23394, 37026, 15644, 401, 16, 505, 424, 10336, 451, 25100, 12017, 12860, 26136, 1423, 16789, 282, 18352, 763, 6617, 18, 640, 7953, 547, 11073, 25236, 2815, 43787, 290, 7896, 1166, 7167, 14267, 281, 327, 18, 491, 422, 18, 3405, 22, 309, 327, 18, 430, 16, 453, 428, 17586, 17201, 31044, 25100, 12017, 1116, 2180, 40677, 16, 367, 322, 282, 5271, 3463, 1562, 16, 428, 481, 12698, 22204, 18, 2949, 924, 16, 16220, 23466, 1551, 10205, 281, 9798, 6447, 26932, 14267, 282, 31116, 452, 18, 4756, 25100, 12017, 1727, 5077, 282, 36909, 8348, 16, 282, 2114, 22014, 16, 374, 26548, 22427, 360, 1047, 17187, 1279, 403, 342, 45615, 289, 8754, 300, 28147, 17450, 5897, 979, 18, 824, 3163, 25100, 46184, 16, 26548, 9694, 700, 8863, 4463, 4041, 22162, 289, 28773, 282, 23828, 1408, 697, 2797, 8783, 1613, 4371, 16, 1754, 11641, 300, 583, 16, 289, 935, 11836, 21492, 2742, 31116, 626, 510, 3436, 4189, 4479, 779, 18, 985, 12698, 25100, 12017, 282, 3988, 4931, 282, 35097, 4876, 16, 282, 27561, 281, 1498, 26548, 2815, 30, 478, 563, 1296, 265, 510, 2918, 11359, 1749, 16, 374, 773, 26270, 16, 1574, 3017, 289, 3029, 1973, 861, 3557, 322, 2619, 11350, 17, 7984, 945, 742, 14132, 46620, 25100, 12017, 33014, 309, 403, 342, 45615, 453, 289, 322, 4263, 16, 367, 2159, 3455, 282, 13148, 25054, 322, 13749, 18, 967, 49073, 282, 1551, 4431, 25100, 46184, 289 ]
[ 22747, 1157, 403, 342, 45615, 40321, 1293, 12355, 702, 360, 2803, 289, 282, 1176, 1609, 46557, 16, 374, 5815, 8231, 411, 14683, 289, 10948, 47615, 411, 4534, 935, 322, 19394, 1251, 1807, 18, 478, 677, 1551, 44356, 282, 18671, 1750, 7654, 281, 13808, 539, 2204, 11265, 1743, 16, 515, 322, 18893, 539, 11969, 1743, 910, 510, 2815, 16338, 15320, 25100, 46184, 17397, 38546, 18, 33167, 403, 342, 15226, 1423, 16789, 1038, 322, 26136, 18, 2320, 16220, 23751, 16, 374, 14267, 1609, 1388, 318, 16, 367, 282, 33841, 1101, 1003, 4302, 19914, 18, 985, 11466, 1867, 11675, 548, 16, 42031, 16, 2006, 16, 12113, 8915, 290, 13148, 31116, 626, 764, 282, 13186, 16, 2887, 403, 342, 45615, 8811, 18747, 18137, 687, 282, 11023, 4479, 779, 16, 6396, 1715, 13591, 18, 640, 7953, 547, 6612, 750, 11675, 548, 403, 342, 45615, 24581, 18350, 19128, 411, 17, 1567, 30356, 16, 367, 1743, 9078, 282, 36909, 541, 32589, 17963, 18, 2046, 16044, 8973, 421, 944, 20173, 2859, 31241, 475, 20546, 624, 6198, 289, 1103, 9572, 11923, 4434, 12414, 825, 519, 1032, 4238, 3734, 779, 18, 28064, 4998, 1101, 334, 18123, 16044, 23229, 309, 5741, 3802, 16, 8693, 275, 16, 374, 475, 8651, 6612, 542, 18222, 282, 48490, 9484, 18, 478, 6161, 373, 4126, 685, 16980, 16, 1833, 2438, 373, 4903, 324, 37163, 622, 14267, 289, 7814, 20481, 910, 510, 17684, 3003, 5129, 15320, 403, 342, 45615, 6096, 2080, 5101, 18, 824, 505, 3163, 36560, 18747, 36817, 298, 3467, 935, 24185, 1545, 4419, 26003, 12393, 416, 6656, 19128, 47615, 18, 2949, 924, 16, 428, 12698, 2080, 5101, 16, 282, 2463, 6054, 898, 36817, 298, 4633, 1833, 2852, 970, 291, 16, 1830, 309, 994, 4201, 4498, 7387, 1472, 381, 3709, 18, 365, 11130, 11071, 19733, 49827, 4126, 334, 6619, 15505, 11424, 43691, 478, 25479, 434, 36303, 5283, 324, 289, 33540, 718, 470, 12543, 282, 29375, 18, 6290, 18654, 1703, 1137, 10386, 18900, 529, 7618, 30, 43078, 32851, 680, 2793, 16, 10948, 17397, 19262, 473, 806, 7831, 37349, 30628, 718, 15046, 7377, 16, 26471, 23048, 304, 6798, 17, 35145, 4626, 289, 3623, 934, 4210, 6499, 1051, 473, 296, 15617, 503, 16, 11391, 10363, 536, 31179, 934, 7947, 5455, 1452, 473, 6936, 755, 7884, 16, 37777, 20193, 572, 1175, 16, 5931, 282, 37022, 8746, 333, 1117, 45239, 814, 26361, 4851, 11009, 11424, 3463, 898, 28384, 19716, 18747, 667, 4189, 6705, 779, 18, 824, 3761, 14160, 16, 491, 4160, 4440, 779, 745, 34399, 44121, 1066, 334, 4073, 552, 2891, 282, 29375, 16, 367, 5287, 289, 334, 3025, 1175, 18, 985, 3014, 411, 4974, 1101, 16, 23049, 352, 47064, 7474, 680, 43691, 4202, 685, 11175, 2793, 282, 29754, 10948, 282, 31330, 17397, 19262, 18, 824, 7475, 14160, 16, 15849, 424, 6429, 2509, 7848, 478, 46438, 577, 470, 2879, 906, 40090, 281, 424, 5146, 20079, 18620, 423, 17562, 16, 4400, 1587, 29064, 18, 365, 4542, 9725, 9314, 45035, 478, 1567, 29519, 6951, 470, 2125, 898, 7087, 1954, 282, 9637, 2095, 16, 6170, 435, 377, 344, 5800, 282, 3580, 16, 1011, 1660, 9637, 16, 5938, 22623, 16, 2125, 898, 13541, 309, 2580, 478, 18663, 16427, 861, 15398, 16, 478, 277, 11740, 288, 9935, 3819, 16367, 11701, 910, 478, 25479, 539, 11650, 1357, 470, 2338, 1374, 12210, 309, 7522, 541, 3819, 2973, 5439, 18, 7743, 282, 4599, 764, 2236, 6342, 6699, 12130, 352, 47064, 7474, 680, 478, 612, 3643, 3463, 470, 6816, 35043, 12568, 334, 12821, 2454, 1734, 282, 4542, 14160, 6652, 315, 17, 49217, 680, 24492, 639, 42406, 282, 42898, 8357, 18, 2320, 25262, 11733, 18751, 35208, 281, 19902, 304, 478, 275, 1738, 2843, 454, 3222, 35090, 2804, 281, 11193, 333, 1398, 17, 20258, 16210, 536, 28677, 304, 861, 365, 12938, 4018, 779, 18654, 778, 16412, 24413, 18946, 505, 309, 25046, 5552, 10640, 18, 18154, 3819, 16367, 778, 478, 1724, 928, 1577, 470, 510, 8851, 14331, 14132, 46620, 25065, 26542, 355, 5363, 510, 18789, 28510, 477, 23285, 289, 4263, 2202, 5331, 17187, 18, 2876, 281, 1047, 22059, 14267, 282, 13148, 294, 3819, 13287, 12128, 5355, 14621, 16, 367, 505, 1743, 1038, 639, 42406, 282, 42898, 8357, 18, 365, 11366, 4018, 779, 492, 685, 49441, 309, 5270, 986, 22728, 349, 478, 267, 4582, 485, 26755, 3416, 470, 289, 8597, 539, 27315, 29252, 289, 7569, 432, 15297, 18, 33736, 12375, 6342, 4486, 16457, 5363, 2458, 14383, 1011, 22812, 1443, 10180, 37348, 12851, 26542, 355, 5363, 272, 567, 808, 24807, 13516, 18, 985, 9848, 994, 21593, 583, 26542, 355, 5363, 16, 22747, 1157, 14855, 1188, 1498, 478, 431, 17562, 33043, 1810, 861, 365, 4810, 16, 492, 1943, 685, 3089, 3427, 22075, 289, 9443, 264, 15581, 294, 40212, 352, 47064, 7474, 680, 46932, 801, 16, 360, 38994, 24724, 289, 38722, 16291, 891, 3819, 16367, 718, 3077, 12046, 632, 538, 486, 439, 7701, 286, 41908, 541, 505, 35669, 18531, 18, 32952, 662, 3077, 12046, 2879, 906, 15521, 13793, 679, 2636, 44745, 4786, 16, 3500, 4749, 282, 29064, 478, 1567, 7595, 799, 295, 273, 16355, 1356, 861, 3791, 16457, 6951, 8641, 38060, 30623, 1066, 14314, 33263, 12588, 27755, 1767, 18, 5126, 9270, 914, 26542, 355, 731, 3340, 567, 808, 25054, 1943, 685, 1852, 33043, 36321, 11424, 3463, 424, 6429, 2509, 7848, 478, 563, 1395, 798, 861, 3759, 575, 3558, 6000, 5472, 16, 42211, 289, 36546, 4861, 16427, 18, 365, 10180, 2116, 547, 25873, 322, 44112, 16, 4080, 1717, 11214, 11641, 414, 6342, 4851, 23659, 18, 15425, 1463, 687, 290, 17593, 13021, 289, 21445, 546, 2244, 16, 2301, 1639, 35254, 16, 367, 2301, 16293, 18, 967, 803, 31006, 323, 17434, 30, 411, 1223, 39152, 346, 6617, 687, 1176, 9234, 685, 10883, 286, 541, 23543, 18, 608, 16015, 46404, 371, 1684, 2557, 282, 12441, 547, 12719, 9884, 2853, 32168, 31256, 26438, 28935, 289, 18990, 282, 4775, 24620, 17248, 2244, 18, 7603, 3643, 11469, 16, 9216, 17461, 6798, 17, 35145, 4626, 289, 3623, 16526, 47691, 1472, 4150, 6746, 3064, 697, 16, 16144, 19418, 289, 14703, 18, 2112, 24164, 478, 612, 3643, 3463, 470, 14703, 289, 44604, 873, 16015, 46404, 5911, 3306, 30183, 282, 8156, 19128, 18, 459, 935, 10258, 32830, 1491, 20605, 29064, 510, 5343, 16, 988, 26475, 14255, 294, 21935, 281, 29075, 18350, 9322, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 4440, 1045, 41945, 48686, 341, 4982, 17313, 6146, 3536, 1033, 828, 19124, 510, 281, 4843, 27, 5096, 519, 4843, 22, 443, 23, 5096, 18, 11474 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22747, 1157, 403, 342, 45615, 40321, 1293, 12355, 702, 360, 2803, 289, 282, 1176, 1609, 46557, 16, 374, 5815, 8231, 411, 14683, 289, 10948, 47615, 411, 4534, 935, 322, 19394, 1251, 1807, 18, 478, 677, 1551, 44356, 282, 18671, 1750, 7654, 281, 13808, 539, 2204, 11265, 1743, 16, 515, 322, 18893, 539, 11969, 1743, 910, 510, 2815, 16338, 15320, 25100, 46184, 17397, 38546, 18, 33167, 403, 342, 15226, 1423, 16789, 1038, 322, 26136, 18, 2320, 16220, 23751, 16, 374, 14267, 1609, 1388, 318, 16, 367, 282, 33841, 1101, 1003, 4302, 19914, 18, 985, 11466, 1867, 11675, 548, 16, 42031, 16, 2006, 16, 12113, 8915, 290, 13148, 31116, 626, 764, 282, 13186, 16, 2887, 403, 342, 45615, 8811, 18747, 18137, 687, 282, 11023, 4479, 779, 16, 6396, 1715, 13591, 18, 640, 7953, 547, 6612, 750, 11675, 548, 403, 342, 45615, 24581, 18350, 19128, 411, 17, 1567, 30356, 16, 367, 1743, 9078, 282, 36909, 541, 32589, 17963, 18, 2046, 16044, 8973, 421, 944, 20173, 2859, 31241, 475, 20546, 624, 6198, 289, 1103, 9572, 11923, 4434, 12414, 825, 519, 1032, 4238, 3734, 779, 18, 28064, 4998, 1101, 334, 18123, 16044, 23229, 309, 5741, 3802, 16, 8693, 275, 16, 374, 475, 8651, 6612, 542, 18222, 282, 48490, 9484, 18, 478, 6161, 373, 4126, 685, 16980, 16, 1833, 2438, 373, 4903, 324, 37163, 622, 14267, 289, 7814, 20481, 910, 510, 17684, 3003, 5129, 15320, 403, 342, 45615, 6096, 2080, 5101, 18, 824, 505, 3163, 36560, 18747, 36817, 298, 3467, 935, 24185, 1545, 4419, 26003, 12393, 416, 6656, 19128, 47615, 18, 2949, 924, 16, 428, 12698, 2080, 5101, 16, 282, 2463, 6054, 898, 36817, 298, 4633, 1833, 2852, 970, 291, 16, 1830, 309, 994, 4201, 4498, 7387, 1472, 381, 3709, 18, 365, 11130, 11071, 19733, 49827, 4126, 334, 6619, 15505, 11424, 43691, 478, 25479, 434, 36303, 5283, 324, 289, 33540, 718, 470, 12543, 282, 29375, 18, 6290, 18654, 1703, 1137, 10386, 18900, 529, 7618, 30, 43078, 32851, 680, 2793, 16, 10948, 17397, 19262, 473, 806, 7831, 37349, 30628, 718, 15046, 7377, 16, 26471, 23048, 304, 6798, 17, 35145, 4626, 289, 3623, 934, 4210, 6499, 1051, 473, 296, 15617, 503, 16, 11391, 10363, 536, 31179, 934, 7947, 5455, 1452, 473, 6936, 755, 7884, 16, 37777, 20193, 572, 1175, 16, 5931, 282, 37022, 8746, 333, 1117, 45239, 814, 26361, 4851, 11009, 11424, 3463, 898, 28384, 19716, 18747, 667, 4189, 6705, 779, 18, 824, 3761, 14160, 16, 491, 4160, 4440, 779, 745, 34399, 44121, 1066, 334, 4073, 552, 2891, 282, 29375, 16, 367, 5287, 289, 334, 3025, 1175, 18, 985, 3014, 411, 4974, 1101, 16, 23049, 352, 47064, 7474, 680, 43691, 4202, 685, 11175, 2793, 282, 29754, 10948, 282, 31330, 17397, 19262, 18, 824, 7475, 14160, 16, 15849, 424, 6429, 2509, 7848, 478, 46438, 577, 470, 2879, 906, 40090, 281, 424, 5146, 20079, 18620, 423, 17562, 16, 4400, 1587, 29064, 18, 365, 4542, 9725, 9314, 45035, 478, 1567, 29519, 6951, 470, 2125, 898, 7087, 1954, 282, 9637, 2095, 16, 6170, 435, 377, 344, 5800, 282, 3580, 16, 1011, 1660, 9637, 16, 5938, 22623, 16, 2125, 898, 13541, 309, 2580, 478, 18663, 16427, 861, 15398, 16, 478, 277, 11740, 288, 9935, 3819, 16367, 11701, 910, 478, 25479, 539, 11650, 1357, 470, 2338, 1374, 12210, 309, 7522, 541, 3819, 2973, 5439, 18, 7743, 282, 4599, 764, 2236, 6342, 6699, 12130, 352, 47064, 7474, 680, 478, 612, 3643, 3463, 470, 6816, 35043, 12568, 334, 12821, 2454, 1734, 282, 4542, 14160, 6652, 315, 17, 49217, 680, 24492, 639, 42406, 282, 42898, 8357, 18, 2320, 25262, 11733, 18751, 35208, 281, 19902, 304, 478, 275, 1738, 2843, 454, 3222, 35090, 2804, 281, 11193, 333, 1398, 17, 20258, 16210, 536, 28677, 304, 861, 365, 12938, 4018, 779, 18654, 778, 16412, 24413, 18946, 505, 309, 25046, 5552, 10640, 18, 18154, 3819, 16367, 778, 478, 1724, 928, 1577, 470, 510, 8851, 14331, 14132, 46620, 25065, 26542, 355, 5363, 510, 18789, 28510, 477, 23285, 289, 4263, 2202, 5331, 17187, 18, 2876, 281, 1047, 22059, 14267, 282, 13148, 294, 3819, 13287, 12128, 5355, 14621, 16, 367, 505, 1743, 1038, 639, 42406, 282, 42898, 8357, 18, 365, 11366, 4018, 779, 492, 685, 49441, 309, 5270, 986, 22728, 349, 478, 267, 4582, 485, 26755, 3416, 470, 289, 8597, 539, 27315, 29252, 289, 7569, 432, 15297, 18, 33736, 12375, 6342, 4486, 16457, 5363, 2458, 14383, 1011, 22812, 1443, 10180, 37348, 12851, 26542, 355, 5363, 272, 567, 808, 24807, 13516, 18, 985, 9848, 994, 21593, 583, 26542, 355, 5363, 16, 22747, 1157, 14855, 1188, 1498, 478, 431, 17562, 33043, 1810, 861, 365, 4810, 16, 492, 1943, 685, 3089, 3427, 22075, 289, 9443, 264, 15581, 294, 40212, 352, 47064, 7474, 680, 46932, 801, 16, 360, 38994, 24724, 289, 38722, 16291, 891, 3819, 16367, 718, 3077, 12046, 632, 538, 486, 439, 7701, 286, 41908, 541, 505, 35669, 18531, 18, 32952, 662, 3077, 12046, 2879, 906, 15521, 13793, 679, 2636, 44745, 4786, 16, 3500, 4749, 282, 29064, 478, 1567, 7595, 799, 295, 273, 16355, 1356, 861, 3791, 16457, 6951, 8641, 38060, 30623, 1066, 14314, 33263, 12588, 27755, 1767, 18, 5126, 9270, 914, 26542, 355, 731, 3340, 567, 808, 25054, 1943, 685, 1852, 33043, 36321, 11424, 3463, 424, 6429, 2509, 7848, 478, 563, 1395, 798, 861, 3759, 575, 3558, 6000, 5472, 16, 42211, 289, 36546, 4861, 16427, 18, 365, 10180, 2116, 547, 25873, 322, 44112, 16, 4080, 1717, 11214, 11641, 414, 6342, 4851, 23659, 18, 15425, 1463, 687, 290, 17593, 13021, 289, 21445, 546, 2244, 16, 2301, 1639, 35254, 16, 367, 2301, 16293, 18, 967, 803, 31006, 323, 17434, 30, 411, 1223, 39152, 346, 6617, 687, 1176, 9234, 685, 10883, 286, 541, 23543, 18, 608, 16015, 46404, 371, 1684, 2557, 282, 12441, 547, 12719, 9884, 2853, 32168, 31256, 26438, 28935, 289, 18990, 282, 4775, 24620, 17248, 2244, 18, 7603, 3643, 11469, 16, 9216, 17461, 6798, 17, 35145, 4626, 289, 3623, 16526, 47691, 1472, 4150, 6746, 3064, 697, 16, 16144, 19418, 289, 14703, 18, 2112, 24164, 478, 612, 3643, 3463, 470, 14703, 289, 44604, 873, 16015, 46404, 5911, 3306, 30183, 282, 8156, 19128, 18, 459, 935, 10258, 32830, 1491, 20605, 29064, 510, 5343, 16, 988, 26475, 14255, 294, 21935, 281, 29075, 18350, 9322, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 4440, 1045, 41945, 48686, 341, 4982, 17313, 6146, 3536, 1033, 828, 19124, 510, 281, 4843, 27, 5096, 519, 4843, 22, 443, 23, 5096, 18, 11474 ]
[ 1223, 16, 7064, 12514, 22829, 309, 7572, 1671, 34273, 2297, 1491, 356, 2169, 16, 961, 10842, 14033, 7796, 23271, 16, 322, 7083, 1063, 371, 803, 15987, 1087, 19317, 297, 16, 6881, 14697, 18, 31224, 30, 28977, 416, 41945, 11981, 281, 23579, 18894, 26119, 282, 7143, 290, 5009, 4840, 19206, 346, 17384, 17313, 6146, 3536, 281, 4843, 27, 5096, 478, 660, 6197, 15811, 510, 895, 953, 16, 4843, 22, 5096, 16, 895, 953, 16, 4843, 23, 5096, 910, 2815, 282, 11946, 44072, 6365, 6370, 378, 2430, 375, 18, 17369, 520, 3771, 282, 10209, 13761, 309, 15987, 8275, 21132, 366, 4766, 16, 3111, 1055, 7885, 16, 5692, 492, 18, 1178, 481, 475, 575, 14864, 16, 502, 1055, 478, 6294, 27812, 8712, 2555, 17, 17827, 8379, 282, 3607, 2244, 910, 4725, 44072, 18, 740, 2628, 16, 374, 15429, 478, 418, 1859, 322, 840, 910, 5923, 1694, 13465, 8053, 478, 15210, 861, 6592, 7143, 536, 48842, 16, 282, 4440, 1045, 41945, 895, 16, 3235, 17313, 28356, 4568, 6146, 3536, 16, 27328, 18909, 29315, 8379, 16, 49038, 6728, 282, 42858, 16, 309, 7512, 322, 1033, 430, 16, 27, 6427, 34278, 2791, 18, 365, 2343, 3750, 3771, 726, 3043, 6915, 1294, 30788, 564, 1671, 49633, 2297, 1491, 356, 700, 309, 4317, 5096, 2791, 16, 281, 4388, 1330, 1409, 16, 13896, 9, 36397, 18, 31057, 662, 1671, 34273, 2297, 1491, 356, 2169, 282, 970, 16, 374, 745, 322, 7083, 1867, 15987, 4103, 2553, 16, 1830, 289, 3043, 8171, 309, 26962, 5814, 16, 374, 4360, 322, 4661, 18249, 13501, 697, 18, 46944, 7989, 6728, 282, 42858, 8379, 8272, 282, 2948, 13923, 16178, 18, 4756, 9541, 17, 24339, 16, 8099, 6365, 6096, 20828, 2440, 27834, 16, 374, 3010, 21132, 366, 4766, 309, 4440, 1205, 12350, 19760, 309, 6957, 5096, 2791, 282, 2630, 281, 23484, 45479, 309, 11460, 18, 20736, 24690, 309, 1177, 1205, 685, 3819, 775, 17111, 411, 22677, 886, 1161, 5995, 309, 33788, 1770, 5669, 87, 282, 4843, 8564, 349, 430, 26650, 289, 14782, 25799, 282, 9802, 816, 16, 26, 9, 17850, 18, 740, 281, 2742, 779, 7072, 309, 11460, 24553, 3230, 4843, 7181, 349, 26650, 16, 367, 281, 2742, 3750, 309, 8011, 41561, 2804, 26177, 309, 31930, 15939, 651, 3230, 4843, 47113, 349, 26650, 18, 365, 10841, 31974, 7143, 685, 2417, 2847, 281, 10031, 321, 8792, 282, 2418, 27, 16, 25, 5096, 2791, 30, 18680, 19967, 6459, 24, 16, 29, 5096, 2791, 16, 11608, 1286, 11672, 16, 24, 5096, 2791, 18, 889, 1882, 19965, 6705, 779, 16, 785, 18680, 898, 309, 5066, 1409, 7703, 16, 26, 5096, 2791, 16, 11608, 47569, 16, 25, 5096, 2791, 18, 365, 12500, 37732, 47907, 345, 18964, 34902, 7122, 13485, 10940, 16, 282, 2114, 22434, 7072, 309, 11460, 282, 4440, 1045, 4896, 4843, 18637, 349, 26650, 16, 282, 4018, 1045, 510, 4843, 17819, 16, 282, 3734, 1045, 510, 4843, 17212, 16, 282, 2801, 1045, 510, 4843, 12979, 18, 832, 20846, 16, 374, 282, 12335, 28402, 764, 445, 5542, 3213, 1595, 10940, 18, 18129, 39722, 10419, 360, 17313, 21132, 366, 4766, 282, 1335, 4096, 5828, 42248, 16, 6881, 14697, 18, 478, 27717, 827, 7072, 309, 11460, 40276, 16, 502, 481, 840, 15717, 10059, 13111, 779, 16, 3387, 7072, 309, 11460, 39047, 309, 38204, 281, 5236, 304, 282, 5270, 17, 5486, 990, 4776, 18, 1591, 17, 8678, 16, 41945, 1494, 708, 332, 10955, 282, 38204, 26621, 21132, 12091, 281, 6097, 14685, 23472, 16, 935, 282, 518, 3142, 16, 785, 322, 15607, 13761, 309, 15987, 8275, 16, 329, 813, 282, 38204, 898, 31163, 318, 6146, 918, 910, 510, 12016, 22881, 9216, 16986, 11806, 11963, 17, 42488, 6569, 11303, 3881, 10925, 18, 3647, 827, 6146, 918, 39426, 16, 3848, 1223, 16, 7064, 12514, 22829, 309, 1671, 49633, 2297, 1491, 356, 700, 18, 478, 677, 15392, 6696, 27636, 1938, 25511, 428, 42097, 541, 10830, 31450, 30, 282, 8485, 5395, 9347, 1671, 49633, 2297, 1491, 356, 700, 23871, 14033, 7796, 23271, 289, 8928, 530, 4119, 421, 1182, 3127, 910, 510, 18590, 7996, 6660, 11806, 4103, 1385, 32226, 8709, 478, 789, 19001, 470, 17397, 43340, 512, 18, 1787, 15429, 1671, 34273, 2297, 1491, 356, 2169, 912, 289, 20562, 37895, 382, 16, 5273, 492, 30, 478, 1140, 813, 14440, 12980, 334, 45254, 10301, 10597, 519, 11202, 22652, 4440, 779, 45993, 18, 365, 803, 1750, 541, 23271, 1671, 49633, 2297, 1491, 356, 700, 1966, 36943, 1143, 11548, 16, 828, 2297, 1491, 356, 700, 282, 584, 937, 19614, 861, 2, 1, 87, 1456, 81, 2448, 30, 672, 620, 262, 487, 320, 6816, 378, 7731, 8053, 4137, 768, 2243, 609, 2815, 16, 374, 3800, 505, 8006, 281, 27402, 39896, 17968, 1957, 18, 889, 15583, 282, 4056, 11053, 3734, 779, 18, 2046, 12496, 454, 895, 23124, 4629, 273, 4084, 897, 33080, 16, 1029, 42295, 281, 3285, 3347, 1533, 4120, 18, 31224, 30, 6706, 12241, 12935, 3781, 17, 15125, 783, 4027, 2422, 1234, 20989, 282, 32683, 1683, 32210, 6816, 378, 7731, 8053, 1624, 558, 3979, 1081, 282, 11877, 33879, 4782, 22220, 1496, 367, 16, 1029, 685, 16236, 282, 35328, 487, 726, 567, 7422, 36493, 18, 2046, 16, 4813, 309, 4116, 2493, 464, 4368, 8955, 16, 9680, 378, 7731, 8053, 10121, 1312, 24955, 322, 519, 3915, 6088, 17335, 20323, 1728, 21166, 2514, 18, 478, 4408, 5544, 8262, 7468, 6829, 2921, 623, 975, 10384, 23651, 18, 459, 502, 687, 349, 5462, 454, 16, 515, 481, 9093, 18, 3923, 16, 567, 7422, 36493, 942, 639, 289, 3255, 25818, 3800, 910, 510, 2815, 492, 18, 1312, 24955, 4725, 23584, 282, 17343, 1728, 21166, 2514, 309, 1702, 268, 1484, 18, 478, 1358, 322, 6274, 8830, 2725, 2142, 16, 417, 6274, 9923, 18, 11349, 8010, 906, 282, 970, 16, 753, 13206, 19227, 282, 965, 16, 510, 9299, 492, 18, 510, 629, 3619, 9720, 360, 924, 16, 374, 492, 7609, 25803, 40250, 282, 5572, 289, 567, 7422, 20237, 5706, 861, 478, 4348, 939, 1269, 33709, 1166, 15809, 11917, 18, 16566, 3714, 2509, 5762, 1116, 17192, 417, 505, 11549, 16, 651, 17684, 3800, 378, 7731, 2931, 18, 510, 22220, 1496, 510, 481, 5172, 1176, 2496, 41541, 18, 403, 2222, 575, 11440, 639, 2174, 18, 629, 309, 899, 17451, 309, 7653, 3800, 18, 832, 639, 4195, 274, 309, 35328, 487, 861, 3791, 8851, 4519, 451, 14007, 2422, 322, 46296, 6175, 541, 387, 6372, 282, 4459, 28096, 18, 478, 4348, 6547, 1743, 16, 47249, 1514, 20374, 345, 1876, 16, 40904, 395, 16, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 16, 7064, 12514, 22829, 309, 7572, 1671, 34273, 2297, 1491, 356, 2169, 16, 961, 10842, 14033, 7796, 23271, 16, 322, 7083, 1063, 371, 803, 15987, 1087, 19317, 297, 16, 6881, 14697, 18, 31224, 30, 28977, 416, 41945, 11981, 281, 23579, 18894, 26119, 282, 7143, 290, 5009, 4840, 19206, 346, 17384, 17313, 6146, 3536, 281, 4843, 27, 5096, 478, 660, 6197, 15811, 510, 895, 953, 16, 4843, 22, 5096, 16, 895, 953, 16, 4843, 23, 5096, 910, 2815, 282, 11946, 44072, 6365, 6370, 378, 2430, 375, 18, 17369, 520, 3771, 282, 10209, 13761, 309, 15987, 8275, 21132, 366, 4766, 16, 3111, 1055, 7885, 16, 5692, 492, 18, 1178, 481, 475, 575, 14864, 16, 502, 1055, 478, 6294, 27812, 8712, 2555, 17, 17827, 8379, 282, 3607, 2244, 910, 4725, 44072, 18, 740, 2628, 16, 374, 15429, 478, 418, 1859, 322, 840, 910, 5923, 1694, 13465, 8053, 478, 15210, 861, 6592, 7143, 536, 48842, 16, 282, 4440, 1045, 41945, 895, 16, 3235, 17313, 28356, 4568, 6146, 3536, 16, 27328, 18909, 29315, 8379, 16, 49038, 6728, 282, 42858, 16, 309, 7512, 322, 1033, 430, 16, 27, 6427, 34278, 2791, 18, 365, 2343, 3750, 3771, 726, 3043, 6915, 1294, 30788, 564, 1671, 49633, 2297, 1491, 356, 700, 309, 4317, 5096, 2791, 16, 281, 4388, 1330, 1409, 16, 13896, 9, 36397, 18, 31057, 662, 1671, 34273, 2297, 1491, 356, 2169, 282, 970, 16, 374, 745, 322, 7083, 1867, 15987, 4103, 2553, 16, 1830, 289, 3043, 8171, 309, 26962, 5814, 16, 374, 4360, 322, 4661, 18249, 13501, 697, 18, 46944, 7989, 6728, 282, 42858, 8379, 8272, 282, 2948, 13923, 16178, 18, 4756, 9541, 17, 24339, 16, 8099, 6365, 6096, 20828, 2440, 27834, 16, 374, 3010, 21132, 366, 4766, 309, 4440, 1205, 12350, 19760, 309, 6957, 5096, 2791, 282, 2630, 281, 23484, 45479, 309, 11460, 18, 20736, 24690, 309, 1177, 1205, 685, 3819, 775, 17111, 411, 22677, 886, 1161, 5995, 309, 33788, 1770, 5669, 87, 282, 4843, 8564, 349, 430, 26650, 289, 14782, 25799, 282, 9802, 816, 16, 26, 9, 17850, 18, 740, 281, 2742, 779, 7072, 309, 11460, 24553, 3230, 4843, 7181, 349, 26650, 16, 367, 281, 2742, 3750, 309, 8011, 41561, 2804, 26177, 309, 31930, 15939, 651, 3230, 4843, 47113, 349, 26650, 18, 365, 10841, 31974, 7143, 685, 2417, 2847, 281, 10031, 321, 8792, 282, 2418, 27, 16, 25, 5096, 2791, 30, 18680, 19967, 6459, 24, 16, 29, 5096, 2791, 16, 11608, 1286, 11672, 16, 24, 5096, 2791, 18, 889, 1882, 19965, 6705, 779, 16, 785, 18680, 898, 309, 5066, 1409, 7703, 16, 26, 5096, 2791, 16, 11608, 47569, 16, 25, 5096, 2791, 18, 365, 12500, 37732, 47907, 345, 18964, 34902, 7122, 13485, 10940, 16, 282, 2114, 22434, 7072, 309, 11460, 282, 4440, 1045, 4896, 4843, 18637, 349, 26650, 16, 282, 4018, 1045, 510, 4843, 17819, 16, 282, 3734, 1045, 510, 4843, 17212, 16, 282, 2801, 1045, 510, 4843, 12979, 18, 832, 20846, 16, 374, 282, 12335, 28402, 764, 445, 5542, 3213, 1595, 10940, 18, 18129, 39722, 10419, 360, 17313, 21132, 366, 4766, 282, 1335, 4096, 5828, 42248, 16, 6881, 14697, 18, 478, 27717, 827, 7072, 309, 11460, 40276, 16, 502, 481, 840, 15717, 10059, 13111, 779, 16, 3387, 7072, 309, 11460, 39047, 309, 38204, 281, 5236, 304, 282, 5270, 17, 5486, 990, 4776, 18, 1591, 17, 8678, 16, 41945, 1494, 708, 332, 10955, 282, 38204, 26621, 21132, 12091, 281, 6097, 14685, 23472, 16, 935, 282, 518, 3142, 16, 785, 322, 15607, 13761, 309, 15987, 8275, 16, 329, 813, 282, 38204, 898, 31163, 318, 6146, 918, 910, 510, 12016, 22881, 9216, 16986, 11806, 11963, 17, 42488, 6569, 11303, 3881, 10925, 18, 3647, 827, 6146, 918, 39426, 16, 3848, 1223, 16, 7064, 12514, 22829, 309, 1671, 49633, 2297, 1491, 356, 700, 18, 478, 677, 15392, 6696, 27636, 1938, 25511, 428, 42097, 541, 10830, 31450, 30, 282, 8485, 5395, 9347, 1671, 49633, 2297, 1491, 356, 700, 23871, 14033, 7796, 23271, 289, 8928, 530, 4119, 421, 1182, 3127, 910, 510, 18590, 7996, 6660, 11806, 4103, 1385, 32226, 8709, 478, 789, 19001, 470, 17397, 43340, 512, 18, 1787, 15429, 1671, 34273, 2297, 1491, 356, 2169, 912, 289, 20562, 37895, 382, 16, 5273, 492, 30, 478, 1140, 813, 14440, 12980, 334, 45254, 10301, 10597, 519, 11202, 22652, 4440, 779, 45993, 18, 365, 803, 1750, 541, 23271, 1671, 49633, 2297, 1491, 356, 700, 1966, 36943, 1143, 11548, 16, 828, 2297, 1491, 356, 700, 282, 584, 937, 19614, 861, 2, 1, 87, 1456, 81, 2448, 30, 672, 620, 262, 487, 320, 6816, 378, 7731, 8053, 4137, 768, 2243, 609, 2815, 16, 374, 3800, 505, 8006, 281, 27402, 39896, 17968, 1957, 18, 889, 15583, 282, 4056, 11053, 3734, 779, 18, 2046, 12496, 454, 895, 23124, 4629, 273, 4084, 897, 33080, 16, 1029, 42295, 281, 3285, 3347, 1533, 4120, 18, 31224, 30, 6706, 12241, 12935, 3781, 17, 15125, 783, 4027, 2422, 1234, 20989, 282, 32683, 1683, 32210, 6816, 378, 7731, 8053, 1624, 558, 3979, 1081, 282, 11877, 33879, 4782, 22220, 1496, 367, 16, 1029, 685, 16236, 282, 35328, 487, 726, 567, 7422, 36493, 18, 2046, 16, 4813, 309, 4116, 2493, 464, 4368, 8955, 16, 9680, 378, 7731, 8053, 10121, 1312, 24955, 322, 519, 3915, 6088, 17335, 20323, 1728, 21166, 2514, 18, 478, 4408, 5544, 8262, 7468, 6829, 2921, 623, 975, 10384, 23651, 18, 459, 502, 687, 349, 5462, 454, 16, 515, 481, 9093, 18, 3923, 16, 567, 7422, 36493, 942, 639, 289, 3255, 25818, 3800, 910, 510, 2815, 492, 18, 1312, 24955, 4725, 23584, 282, 17343, 1728, 21166, 2514, 309, 1702, 268, 1484, 18, 478, 1358, 322, 6274, 8830, 2725, 2142, 16, 417, 6274, 9923, 18, 11349, 8010, 906, 282, 970, 16, 753, 13206, 19227, 282, 965, 16, 510, 9299, 492, 18, 510, 629, 3619, 9720, 360, 924, 16, 374, 492, 7609, 25803, 40250, 282, 5572, 289, 567, 7422, 20237, 5706, 861, 478, 4348, 939, 1269, 33709, 1166, 15809, 11917, 18, 16566, 3714, 2509, 5762, 1116, 17192, 417, 505, 11549, 16, 651, 17684, 3800, 378, 7731, 2931, 18, 510, 22220, 1496, 510, 481, 5172, 1176, 2496, 41541, 18, 403, 2222, 575, 11440, 639, 2174, 18, 629, 309, 899, 17451, 309, 7653, 3800, 18, 832, 639, 4195, 274, 309, 35328, 487, 861, 3791, 8851, 4519, 451, 14007, 2422, 322, 46296, 6175, 541, 387, 6372, 282, 4459, 28096, 18, 478, 4348, 6547, 1743, 16, 47249, 1514, 20374, 345, 1876, 16, 40904, 395, 16, 602 ]
[ 628, 395, 289, 1514, 4310, 655, 912, 1033, 34387, 1694, 18, 1345, 6547, 1423, 2768, 16, 47249, 16, 374, 656, 5487, 16, 510, 4725, 9680, 18, 510, 3492, 17, 299, 2548, 16, 374, 22220, 1496, 8282, 16, 515, 322, 656, 505, 20733, 510, 492, 583, 5053, 861, 824, 3163, 17799, 378, 7731, 8053, 16, 322, 5809, 16, 374, 13357, 7739, 2409, 18952, 5539, 4040, 4137, 39896, 18, 478, 6161, 322, 3800, 281, 27402, 39896, 16, 502, 840, 1331, 2061, 7870, 16220, 18, 740, 2512, 2820, 840, 3800, 281, 27402, 861, 457, 728, 1531, 364, 36847, 487, 320, 378, 7731, 8053, 4137, 768, 2243, 609, 18, 478, 17603, 656, 3984, 3111, 687, 381, 3709, 510, 290, 35107, 281, 27402, 39896, 16, 9019, 1313, 589, 1305, 1234, 20989, 18, 824, 8842, 1016, 492, 1943, 5848, 1177, 30639, 322, 5747, 4238, 3734, 17, 361, 18, 996, 374, 481, 726, 16487, 622, 18, 20466, 16, 374, 895, 23124, 16, 510, 3800, 9001, 281, 4629, 635, 4084, 897, 339, 33080, 304, 18, 15496, 282, 1750, 14248, 39896, 7739, 2409, 378, 7731, 8053, 4040, 33080, 18, 740, 656, 3984, 38870, 349, 9001, 861, 5043, 16, 334, 3163, 36271, 9019, 1313, 11562, 2422, 334, 7475, 1234, 20989, 3285, 613, 9001, 39896, 4671, 268, 347, 8009, 464, 16, 505, 8006, 16435, 414, 5848, 8842, 668, 10720, 282, 3178, 1949, 986, 1011, 37358, 281, 7211, 3347, 16722, 304, 28504, 339, 1624, 367, 322, 23399, 986, 18, 478, 59, 20989, 1011, 4968, 281, 16722, 304, 28504, 339, 11642, 1299, 1272, 779, 16, 282, 3178, 1639, 656, 5087, 5848, 8842, 668, 10720, 46612, 16, 510, 5923, 1694, 8009, 464, 951, 7591, 657, 6950, 9830, 18, 510, 824, 697, 15817, 3163, 16, 519, 4189, 3734, 779, 18, 378, 7731, 2931, 322, 1623, 478, 10548, 5368, 470, 26109, 16, 492, 42650, 477, 5022, 25014, 510, 14827, 18723, 645, 18, 1345, 7012, 322, 1795, 406, 21336, 1558, 813, 282, 10647, 861, 2046, 768, 2243, 609, 9299, 30, 13428, 5848, 3800, 1011, 37358, 281, 33080, 304, 16, 7193, 39896, 2879, 3604, 16896, 1234, 20989, 289, 20148, 36271, 378, 7731, 8053, 999, 23192, 44705, 18, 12280, 8097, 16, 374, 5906, 14971, 289, 25467, 42511, 27749, 28505, 39896, 289, 1472, 31311, 24182, 282, 7179, 3714, 16275, 18, 459, 7256, 5809, 378, 7731, 8053, 322, 47104, 18, 478, 677, 5734, 2083, 39896, 772, 24496, 567, 1209, 39761, 16, 567, 1209, 19536, 432, 42017, 16, 515, 417, 322, 1325, 15382, 309, 481, 2904, 18, 629, 2060, 16, 374, 2917, 703, 27724, 3534, 8404, 16, 1749, 16, 961, 24182, 282, 703, 16, 510, 1109, 492, 18, 510, 629, 3893, 282, 3177, 5071, 423, 18, 1178, 23377, 1749, 282, 703, 24182, 16, 502, 417, 481, 16139, 18, 629, 3893, 282, 1190, 289, 37737, 9854, 309, 8955, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 4722, 23635, 1119, 32671, 7561, 28604, 1188, 850, 2774, 323, 16, 41282, 281, 48309, 4183, 16423, 27304, 2959, 16, 29565, 30682, 5233, 3675, 8955, 1195, 478, 780, 24361, 761, 470, 289, 14217, 3389, 2159, 49564, 282, 35772, 18, 478, 50157, 266, 470, 30682, 12376, 8955, 371, 8426, 404, 12995, 1265, 913, 16, 367, 478, 563, 455, 10347, 1614, 332, 512, 470, 567, 7422, 8267, 424, 9444, 365, 2329, 2725, 19218, 1642, 25469, 478, 12003, 394, 1508, 861, 31224, 30, 11356, 309, 1360, 3801, 735, 37233, 45300, 271, 21567, 3134, 22009, 478, 47604, 297, 910, 374, 19344, 10434, 35798, 669, 472, 675, 607, 8969, 10579, 15465, 567, 1514, 12013, 18, 478, 780, 24361, 343, 470, 20142, 4702, 2742, 10133, 651, 726, 309, 35271, 20537, 6729, 6434, 5745, 45300, 271, 6816, 3873, 15431, 718, 18, 2046, 519, 26403, 19671, 521, 16, 428, 481, 639, 282, 19163, 16702, 16, 1743, 322, 19740, 18, 29565, 2159, 16432, 322, 1531, 364, 18, 6682, 924, 651, 478, 47604, 297, 470, 3221, 4165, 2948, 510, 46459, 6096, 13224, 2947, 291, 18, 365, 21655, 46234, 29565, 7199, 16329, 343, 8891, 1970, 651, 421, 1701, 286, 29499, 651, 378, 39589, 18, 824, 819, 5561, 475, 9208, 16, 367, 1763, 6310, 18319, 16, 27939, 726, 282, 24362, 8999, 18, 16577, 5270, 1879, 14179, 40627, 4744, 1212, 360, 41727, 5625, 282, 11063, 32644, 364, 16432, 17701, 18, 29565, 437, 29777, 34979, 2594, 282, 1272, 4570, 18322, 648, 300, 478, 780, 24361, 454, 470, 510, 3405, 17, 3572, 18, 2046, 7504, 2849, 12543, 281, 37253, 7646, 18, 6290, 3453, 38374, 323, 33647, 6096, 22118, 1624, 289, 4446, 7451, 309, 5897, 8984, 3425, 282, 11063, 18, 3877, 21610, 1752, 282, 10717, 16, 745, 2693, 34143, 1166, 46234, 16, 367, 1619, 6779, 6972, 368, 7730, 4210, 15090, 18, 365, 3178, 1223, 10485, 329, 29565, 639, 8585, 20163, 20632, 21755, 309, 34565, 21607, 16, 515, 13342, 19924, 322, 3225, 18, 15136, 13459, 1532, 2931, 10490, 36497, 3873, 15431, 718, 18, 17102, 25724, 9700, 3221, 2795, 2948, 46296, 1614, 17398, 766, 345, 439, 300, 2467, 286, 1624, 1029, 726, 309, 9268, 20537, 322, 10587, 1146, 649, 46234, 281, 2845, 3174, 18, 29565, 30682, 1854, 668, 8955, 289, 1188, 23511, 304, 14217, 3389, 2159, 49564, 282, 35772, 18, 430, 17, 20, 18, 3495, 548, 269, 5101, 473, 8572, 488, 1790, 2882, 934, 13530, 30, 8174, 17, 11142, 430, 17, 21, 18, 439, 546, 2440, 16, 5741, 30, 10164, 17, 503, 491, 17, 21, 18, 22118, 473, 27091, 312, 29499, 16, 1258, 320, 5486, 934, 9690, 30, 5041, 17, 11142, 816, 17, 21, 18, 2502, 1736, 2169, 778, 473, 8572, 488, 1790, 2882, 934, 4317, 30, 6091, 816, 17, 22, 18, 4015, 4574, 343, 16, 13531, 30, 2479, 2775, 4749, 7193, 472, 675, 607, 282, 1345, 345, 13897, 27547, 478, 618, 1736, 23866, 861, 385, 6175, 14631, 3291, 890, 5017, 5583, 8802, 329, 478, 50157, 354, 470, 726, 5354, 8018, 506, 9680, 18, 8009, 297, 266, 17, 630, 582, 6470, 22846, 29499, 14084, 30383, 282, 11946, 16, 349, 6441, 1441, 9780, 8426, 404, 12995, 29499, 18, 40519, 2780, 281, 9764, 1195, 478, 780, 24361, 761, 910, 785, 478, 50157, 266, 470, 46164, 1421, 15277, 919, 282, 2456, 3998, 7977, 18, 459, 309, 1177, 445, 18653, 505, 10434, 49692, 309, 20287, 18, 5890, 309, 1760, 17, 295, 3749, 476, 6370, 9057, 919, 2931, 685, 5280, 286, 349, 38299, 15277, 919, 18, 30308, 5888, 3495, 548, 269, 5101, 282, 11063, 6844, 2948, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 628, 395, 289, 1514, 4310, 655, 912, 1033, 34387, 1694, 18, 1345, 6547, 1423, 2768, 16, 47249, 16, 374, 656, 5487, 16, 510, 4725, 9680, 18, 510, 3492, 17, 299, 2548, 16, 374, 22220, 1496, 8282, 16, 515, 322, 656, 505, 20733, 510, 492, 583, 5053, 861, 824, 3163, 17799, 378, 7731, 8053, 16, 322, 5809, 16, 374, 13357, 7739, 2409, 18952, 5539, 4040, 4137, 39896, 18, 478, 6161, 322, 3800, 281, 27402, 39896, 16, 502, 840, 1331, 2061, 7870, 16220, 18, 740, 2512, 2820, 840, 3800, 281, 27402, 861, 457, 728, 1531, 364, 36847, 487, 320, 378, 7731, 8053, 4137, 768, 2243, 609, 18, 478, 17603, 656, 3984, 3111, 687, 381, 3709, 510, 290, 35107, 281, 27402, 39896, 16, 9019, 1313, 589, 1305, 1234, 20989, 18, 824, 8842, 1016, 492, 1943, 5848, 1177, 30639, 322, 5747, 4238, 3734, 17, 361, 18, 996, 374, 481, 726, 16487, 622, 18, 20466, 16, 374, 895, 23124, 16, 510, 3800, 9001, 281, 4629, 635, 4084, 897, 339, 33080, 304, 18, 15496, 282, 1750, 14248, 39896, 7739, 2409, 378, 7731, 8053, 4040, 33080, 18, 740, 656, 3984, 38870, 349, 9001, 861, 5043, 16, 334, 3163, 36271, 9019, 1313, 11562, 2422, 334, 7475, 1234, 20989, 3285, 613, 9001, 39896, 4671, 268, 347, 8009, 464, 16, 505, 8006, 16435, 414, 5848, 8842, 668, 10720, 282, 3178, 1949, 986, 1011, 37358, 281, 7211, 3347, 16722, 304, 28504, 339, 1624, 367, 322, 23399, 986, 18, 478, 59, 20989, 1011, 4968, 281, 16722, 304, 28504, 339, 11642, 1299, 1272, 779, 16, 282, 3178, 1639, 656, 5087, 5848, 8842, 668, 10720, 46612, 16, 510, 5923, 1694, 8009, 464, 951, 7591, 657, 6950, 9830, 18, 510, 824, 697, 15817, 3163, 16, 519, 4189, 3734, 779, 18, 378, 7731, 2931, 322, 1623, 478, 10548, 5368, 470, 26109, 16, 492, 42650, 477, 5022, 25014, 510, 14827, 18723, 645, 18, 1345, 7012, 322, 1795, 406, 21336, 1558, 813, 282, 10647, 861, 2046, 768, 2243, 609, 9299, 30, 13428, 5848, 3800, 1011, 37358, 281, 33080, 304, 16, 7193, 39896, 2879, 3604, 16896, 1234, 20989, 289, 20148, 36271, 378, 7731, 8053, 999, 23192, 44705, 18, 12280, 8097, 16, 374, 5906, 14971, 289, 25467, 42511, 27749, 28505, 39896, 289, 1472, 31311, 24182, 282, 7179, 3714, 16275, 18, 459, 7256, 5809, 378, 7731, 8053, 322, 47104, 18, 478, 677, 5734, 2083, 39896, 772, 24496, 567, 1209, 39761, 16, 567, 1209, 19536, 432, 42017, 16, 515, 417, 322, 1325, 15382, 309, 481, 2904, 18, 629, 2060, 16, 374, 2917, 703, 27724, 3534, 8404, 16, 1749, 16, 961, 24182, 282, 703, 16, 510, 1109, 492, 18, 510, 629, 3893, 282, 3177, 5071, 423, 18, 1178, 23377, 1749, 282, 703, 24182, 16, 502, 417, 481, 16139, 18, 629, 3893, 282, 1190, 289, 37737, 9854, 309, 8955, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 4722, 23635, 1119, 32671, 7561, 28604, 1188, 850, 2774, 323, 16, 41282, 281, 48309, 4183, 16423, 27304, 2959, 16, 29565, 30682, 5233, 3675, 8955, 1195, 478, 780, 24361, 761, 470, 289, 14217, 3389, 2159, 49564, 282, 35772, 18, 478, 50157, 266, 470, 30682, 12376, 8955, 371, 8426, 404, 12995, 1265, 913, 16, 367, 478, 563, 455, 10347, 1614, 332, 512, 470, 567, 7422, 8267, 424, 9444, 365, 2329, 2725, 19218, 1642, 25469, 478, 12003, 394, 1508, 861, 31224, 30, 11356, 309, 1360, 3801, 735, 37233, 45300, 271, 21567, 3134, 22009, 478, 47604, 297, 910, 374, 19344, 10434, 35798, 669, 472, 675, 607, 8969, 10579, 15465, 567, 1514, 12013, 18, 478, 780, 24361, 343, 470, 20142, 4702, 2742, 10133, 651, 726, 309, 35271, 20537, 6729, 6434, 5745, 45300, 271, 6816, 3873, 15431, 718, 18, 2046, 519, 26403, 19671, 521, 16, 428, 481, 639, 282, 19163, 16702, 16, 1743, 322, 19740, 18, 29565, 2159, 16432, 322, 1531, 364, 18, 6682, 924, 651, 478, 47604, 297, 470, 3221, 4165, 2948, 510, 46459, 6096, 13224, 2947, 291, 18, 365, 21655, 46234, 29565, 7199, 16329, 343, 8891, 1970, 651, 421, 1701, 286, 29499, 651, 378, 39589, 18, 824, 819, 5561, 475, 9208, 16, 367, 1763, 6310, 18319, 16, 27939, 726, 282, 24362, 8999, 18, 16577, 5270, 1879, 14179, 40627, 4744, 1212, 360, 41727, 5625, 282, 11063, 32644, 364, 16432, 17701, 18, 29565, 437, 29777, 34979, 2594, 282, 1272, 4570, 18322, 648, 300, 478, 780, 24361, 454, 470, 510, 3405, 17, 3572, 18, 2046, 7504, 2849, 12543, 281, 37253, 7646, 18, 6290, 3453, 38374, 323, 33647, 6096, 22118, 1624, 289, 4446, 7451, 309, 5897, 8984, 3425, 282, 11063, 18, 3877, 21610, 1752, 282, 10717, 16, 745, 2693, 34143, 1166, 46234, 16, 367, 1619, 6779, 6972, 368, 7730, 4210, 15090, 18, 365, 3178, 1223, 10485, 329, 29565, 639, 8585, 20163, 20632, 21755, 309, 34565, 21607, 16, 515, 13342, 19924, 322, 3225, 18, 15136, 13459, 1532, 2931, 10490, 36497, 3873, 15431, 718, 18, 17102, 25724, 9700, 3221, 2795, 2948, 46296, 1614, 17398, 766, 345, 439, 300, 2467, 286, 1624, 1029, 726, 309, 9268, 20537, 322, 10587, 1146, 649, 46234, 281, 2845, 3174, 18, 29565, 30682, 1854, 668, 8955, 289, 1188, 23511, 304, 14217, 3389, 2159, 49564, 282, 35772, 18, 430, 17, 20, 18, 3495, 548, 269, 5101, 473, 8572, 488, 1790, 2882, 934, 13530, 30, 8174, 17, 11142, 430, 17, 21, 18, 439, 546, 2440, 16, 5741, 30, 10164, 17, 503, 491, 17, 21, 18, 22118, 473, 27091, 312, 29499, 16, 1258, 320, 5486, 934, 9690, 30, 5041, 17, 11142, 816, 17, 21, 18, 2502, 1736, 2169, 778, 473, 8572, 488, 1790, 2882, 934, 4317, 30, 6091, 816, 17, 22, 18, 4015, 4574, 343, 16, 13531, 30, 2479, 2775, 4749, 7193, 472, 675, 607, 282, 1345, 345, 13897, 27547, 478, 618, 1736, 23866, 861, 385, 6175, 14631, 3291, 890, 5017, 5583, 8802, 329, 478, 50157, 354, 470, 726, 5354, 8018, 506, 9680, 18, 8009, 297, 266, 17, 630, 582, 6470, 22846, 29499, 14084, 30383, 282, 11946, 16, 349, 6441, 1441, 9780, 8426, 404, 12995, 29499, 18, 40519, 2780, 281, 9764, 1195, 478, 780, 24361, 761, 910, 785, 478, 50157, 266, 470, 46164, 1421, 15277, 919, 282, 2456, 3998, 7977, 18, 459, 309, 1177, 445, 18653, 505, 10434, 49692, 309, 20287, 18, 5890, 309, 1760, 17, 295, 3749, 476, 6370, 9057, 919, 2931, 685, 5280, 286, 349, 38299, 15277, 919, 18, 30308, 5888, 3495, 548, 269, 5101, 282, 11063, 6844, 2948, 18 ]
[ 478, 50157, 266, 470, 1590, 21899, 12839, 27126, 16, 329, 7646, 685, 1176, 24779, 2083, 16, 515, 3720, 727, 269, 2347, 281, 5512, 2985, 3317, 309, 24511, 322, 45300, 271, 27585, 3495, 344, 4086, 18, 478, 618, 1736, 23866, 470, 8782, 844, 706, 282, 8151, 6740, 10485, 18, 365, 24163, 1207, 8607, 24226, 16480, 12055, 439, 546, 2440, 1624, 12807, 659, 1510, 46234, 289, 4057, 626, 1779, 1176, 309, 1176, 281, 3495, 344, 326, 536, 18, 740, 309, 23511, 25984, 3424, 25140, 478, 50157, 266, 861, 640, 1177, 445, 282, 11063, 46459, 764, 1176, 25236, 651, 6096, 22118, 18, 439, 2512, 478, 618, 1736, 23866, 470, 3619, 774, 411, 43813, 382, 510, 28635, 2502, 1736, 2169, 778, 424, 1599, 364, 6972, 368, 26351, 405, 13876, 1790, 7876, 281, 16160, 416, 2038, 18, 44840, 33920, 5462, 454, 2384, 1616, 5186, 332, 15277, 807, 35111, 4015, 4574, 382, 18, 439, 1122, 475, 16, 428, 28507, 651, 49716, 19671, 521, 16, 19957, 7889, 18, 478, 50157, 266, 470, 387, 41888, 16, 935, 4813, 309, 35520, 3495, 548, 269, 5461, 349, 41692, 451, 4307, 18, 430, 17, 20, 18, 439, 18, 28265, 1388, 473, 684, 389, 1388, 934, 21156, 30, 754, 430, 17, 21, 18, 450, 19609, 46623, 473, 25719, 370, 318, 934, 4055, 30, 6427, 430, 17, 22, 18, 1241, 301, 3533, 473, 25719, 370, 318, 16, 504, 717, 286, 1465, 934, 11166, 30, 9348, 430, 17, 23, 18, 1241, 301, 3533, 473, 1916, 766, 1690, 2612, 934, 13908, 30, 8979, 491, 17, 23, 18, 40383, 394, 2931, 473, 618, 18, 8572, 554, 1388, 16, 5191, 1076, 300, 934, 12151, 30, 7751, 491, 17, 24, 18, 504, 7460, 16, 15882, 30, 6654, 1614, 844, 376, 457, 947, 755, 1061, 30, 24, 504, 2239, 17, 21, 18, 7076, 6235, 473, 1009, 1452, 2931, 16, 18712, 3899, 934, 1912, 30, 6091, 17, 11142, 430, 17, 21, 18, 17535, 7473, 609, 473, 40846, 317, 375, 16, 15498, 39609, 934, 2706, 30, 2479, 491, 17, 21, 18, 504, 11164, 375, 473, 31649, 4472, 778, 16, 1258, 15526, 375, 934, 4518, 30, 3114, 491, 17, 22, 18, 20848, 2099, 274, 473, 672, 4083, 16, 2124, 345, 1869, 934, 12060, 30, 11498, 17, 11142, 816, 17, 22, 18, 768, 1018, 36644, 473, 992, 277, 944, 512, 16, 32192, 297, 21710, 934, 10608, 30, 7703, 816, 17, 23, 18, 378, 4083, 16, 9690, 30, 5493, 17, 503, 1032, 17, 23, 18, 15498, 39609, 473, 563, 341, 1051, 16, 17535, 7473, 609, 934, 17530, 30, 2479, 17, 11142, 1032, 17, 24, 18, 378, 4083, 473, 5853, 345, 3899, 16, 21364, 1275, 934, 19670, 30, 8081, 17, 11142, 1061, 17, 24, 18, 15498, 39609, 376, 2566, 451, 6972, 368, 5585, 46356, 376, 16543, 11740, 285, 376, 1032, 30, 23, 2239, 17, 21, 18, 365, 18, 9676, 10190, 2279, 473, 618, 18, 9676, 10190, 2279, 934, 2123, 30, 8914, 430, 17, 21, 18, 22227, 15561, 16, 4039, 30, 9869, 491, 17, 21, 18, 1241, 7127, 286, 473, 21117, 31740, 934, 11114, 30, 3940, 491, 17, 22, 18, 33025, 272, 512, 473, 563, 643, 612, 1520, 934, 9690, 30, 6894, 816, 17, 22, 18, 38546, 473, 682, 10270, 1452, 934, 17530, 30, 5759, 17, 11142, 816, 17, 23, 18, 29034, 473, 563, 643, 612, 1520, 16, 33025, 272, 512, 934, 16279, 30, 3420, 1032, 17, 23, 18, 14998, 6992, 1970, 473, 12775, 3141, 934, 17842, 30, 6427, 30233, 10133, 282, 11084, 7609, 29410, 14378, 37571, 16, 1029, 309, 5017, 4028, 11056, 1038, 23571, 709, 281, 7265, 26434, 18, 478, 563, 455, 10347, 1614, 332, 512, 470, 567, 7410, 281, 7384, 4309, 2725, 791, 536, 13694, 478, 12003, 394, 267, 861, 403, 15695, 367, 419, 3141, 873, 289, 2419, 322, 453, 2944, 5464, 326, 18506, 42398, 18, 967, 20106, 1034, 525, 10635, 7193, 4686, 13317, 424, 478, 618, 10812, 470, 473, 22, 30, 26, 934, 367, 2512, 48310, 19311, 411, 6566, 2566, 9410, 18, 478, 563, 455, 10347, 470, 371, 2725, 399, 1153, 2780, 18397, 16, 16536, 743, 1642, 478, 789, 947, 755, 470, 473, 24, 30, 20, 934, 515, 24932, 3124, 309, 2566, 668, 19311, 322, 3225, 18, 5890, 309, 35962, 20537, 27935, 576, 5335, 539, 42563, 329, 12234, 1275, 651, 281, 10376, 17514, 39791, 367, 2948, 6844, 3720, 28265, 1388, 18, 365, 10130, 329, 774, 34544, 291, 12899, 3541, 639, 1269, 1810, 16, 515, 2948, 25871, 519, 16838, 6740, 10485, 18, 17738, 478, 12003, 394, 507, 470, 42255, 450, 19609, 46623, 2948, 3221, 4165, 18, 478, 563, 455, 10347, 470, 575, 1728, 12063, 9724, 651, 39791, 3619, 34840, 289, 309, 2992, 2849, 322, 4223, 18, 24846, 4446, 2337, 1076, 538, 15774, 323, 289, 1188, 3818, 23511, 304, 7451, 4024, 651, 281, 31811, 20010, 46234, 46164, 13681, 301, 1241, 301, 3533, 18, 365, 15301, 29235, 23253, 778, 39914, 13721, 271, 8440, 526, 651, 583, 8519, 282, 17025, 16, 46016, 349, 34414, 289, 5354, 396, 6305, 8438, 46234, 282, 13757, 883, 6421, 18, 5043, 16, 1373, 575, 7974, 40383, 394, 2931, 5009, 2022, 13303, 2235, 282, 20545, 18, 478, 563, 455, 10347, 470, 1269, 5514, 1475, 16, 515, 49257, 528, 7509, 685, 1968, 1957, 18, 999, 36670, 7130, 519, 3915, 10485, 17711, 1483, 14940, 9724, 46234, 371, 20228, 411, 1360, 10580, 16, 289, 981, 3284, 504, 7460, 7243, 1475, 2019, 1176, 309, 1176, 18, 2725, 6436, 1373, 575, 4445, 44368, 17, 264, 487, 16, 45227, 19671, 521, 309, 35743, 474, 13230, 16, 515, 26946, 10133, 322, 3225, 18, 1034, 5158, 43381, 47420, 1188, 23511, 304, 5195, 478, 789, 947, 755, 861, 365, 1750, 9764, 282, 41355, 17, 40412, 2557, 289, 32239, 29565, 21166, 2497, 25734, 26749, 948, 401, 21857, 373, 282, 21854, 18, 2046, 477, 1360, 16213, 327, 12476, 873, 322, 47844, 18, 985, 1109, 1011, 7977, 16095, 26749, 16748, 16, 2117, 28009, 8552, 323, 18, 17102, 44994, 451, 11274, 368, 4966, 34406, 567, 7422, 29235, 16, 785, 349, 2511, 1879, 4153, 18498, 31273, 1763, 9973, 702, 6527, 2852, 15277, 296, 18, 365, 8151, 5897, 4699, 24701, 478, 4298, 844, 470, 4426, 45796, 18083, 15498, 39609, 367, 6276, 4024, 18, 640, 9268, 20537, 26749, 16748, 45227, 39172, 5409, 1344, 354, 1624, 289, 10121, 378, 4083, 6981, 2380, 10927, 282, 290, 551, 6189, 277, 18, 365, 27283, 808, 23952, 432, 15277, 296, 322, 639, 16, 367, 282, 7756, 28940, 326, 712, 46459, 1176, 687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 50157, 266, 470, 1590, 21899, 12839, 27126, 16, 329, 7646, 685, 1176, 24779, 2083, 16, 515, 3720, 727, 269, 2347, 281, 5512, 2985, 3317, 309, 24511, 322, 45300, 271, 27585, 3495, 344, 4086, 18, 478, 618, 1736, 23866, 470, 8782, 844, 706, 282, 8151, 6740, 10485, 18, 365, 24163, 1207, 8607, 24226, 16480, 12055, 439, 546, 2440, 1624, 12807, 659, 1510, 46234, 289, 4057, 626, 1779, 1176, 309, 1176, 281, 3495, 344, 326, 536, 18, 740, 309, 23511, 25984, 3424, 25140, 478, 50157, 266, 861, 640, 1177, 445, 282, 11063, 46459, 764, 1176, 25236, 651, 6096, 22118, 18, 439, 2512, 478, 618, 1736, 23866, 470, 3619, 774, 411, 43813, 382, 510, 28635, 2502, 1736, 2169, 778, 424, 1599, 364, 6972, 368, 26351, 405, 13876, 1790, 7876, 281, 16160, 416, 2038, 18, 44840, 33920, 5462, 454, 2384, 1616, 5186, 332, 15277, 807, 35111, 4015, 4574, 382, 18, 439, 1122, 475, 16, 428, 28507, 651, 49716, 19671, 521, 16, 19957, 7889, 18, 478, 50157, 266, 470, 387, 41888, 16, 935, 4813, 309, 35520, 3495, 548, 269, 5461, 349, 41692, 451, 4307, 18, 430, 17, 20, 18, 439, 18, 28265, 1388, 473, 684, 389, 1388, 934, 21156, 30, 754, 430, 17, 21, 18, 450, 19609, 46623, 473, 25719, 370, 318, 934, 4055, 30, 6427, 430, 17, 22, 18, 1241, 301, 3533, 473, 25719, 370, 318, 16, 504, 717, 286, 1465, 934, 11166, 30, 9348, 430, 17, 23, 18, 1241, 301, 3533, 473, 1916, 766, 1690, 2612, 934, 13908, 30, 8979, 491, 17, 23, 18, 40383, 394, 2931, 473, 618, 18, 8572, 554, 1388, 16, 5191, 1076, 300, 934, 12151, 30, 7751, 491, 17, 24, 18, 504, 7460, 16, 15882, 30, 6654, 1614, 844, 376, 457, 947, 755, 1061, 30, 24, 504, 2239, 17, 21, 18, 7076, 6235, 473, 1009, 1452, 2931, 16, 18712, 3899, 934, 1912, 30, 6091, 17, 11142, 430, 17, 21, 18, 17535, 7473, 609, 473, 40846, 317, 375, 16, 15498, 39609, 934, 2706, 30, 2479, 491, 17, 21, 18, 504, 11164, 375, 473, 31649, 4472, 778, 16, 1258, 15526, 375, 934, 4518, 30, 3114, 491, 17, 22, 18, 20848, 2099, 274, 473, 672, 4083, 16, 2124, 345, 1869, 934, 12060, 30, 11498, 17, 11142, 816, 17, 22, 18, 768, 1018, 36644, 473, 992, 277, 944, 512, 16, 32192, 297, 21710, 934, 10608, 30, 7703, 816, 17, 23, 18, 378, 4083, 16, 9690, 30, 5493, 17, 503, 1032, 17, 23, 18, 15498, 39609, 473, 563, 341, 1051, 16, 17535, 7473, 609, 934, 17530, 30, 2479, 17, 11142, 1032, 17, 24, 18, 378, 4083, 473, 5853, 345, 3899, 16, 21364, 1275, 934, 19670, 30, 8081, 17, 11142, 1061, 17, 24, 18, 15498, 39609, 376, 2566, 451, 6972, 368, 5585, 46356, 376, 16543, 11740, 285, 376, 1032, 30, 23, 2239, 17, 21, 18, 365, 18, 9676, 10190, 2279, 473, 618, 18, 9676, 10190, 2279, 934, 2123, 30, 8914, 430, 17, 21, 18, 22227, 15561, 16, 4039, 30, 9869, 491, 17, 21, 18, 1241, 7127, 286, 473, 21117, 31740, 934, 11114, 30, 3940, 491, 17, 22, 18, 33025, 272, 512, 473, 563, 643, 612, 1520, 934, 9690, 30, 6894, 816, 17, 22, 18, 38546, 473, 682, 10270, 1452, 934, 17530, 30, 5759, 17, 11142, 816, 17, 23, 18, 29034, 473, 563, 643, 612, 1520, 16, 33025, 272, 512, 934, 16279, 30, 3420, 1032, 17, 23, 18, 14998, 6992, 1970, 473, 12775, 3141, 934, 17842, 30, 6427, 30233, 10133, 282, 11084, 7609, 29410, 14378, 37571, 16, 1029, 309, 5017, 4028, 11056, 1038, 23571, 709, 281, 7265, 26434, 18, 478, 563, 455, 10347, 1614, 332, 512, 470, 567, 7410, 281, 7384, 4309, 2725, 791, 536, 13694, 478, 12003, 394, 267, 861, 403, 15695, 367, 419, 3141, 873, 289, 2419, 322, 453, 2944, 5464, 326, 18506, 42398, 18, 967, 20106, 1034, 525, 10635, 7193, 4686, 13317, 424, 478, 618, 10812, 470, 473, 22, 30, 26, 934, 367, 2512, 48310, 19311, 411, 6566, 2566, 9410, 18, 478, 563, 455, 10347, 470, 371, 2725, 399, 1153, 2780, 18397, 16, 16536, 743, 1642, 478, 789, 947, 755, 470, 473, 24, 30, 20, 934, 515, 24932, 3124, 309, 2566, 668, 19311, 322, 3225, 18, 5890, 309, 35962, 20537, 27935, 576, 5335, 539, 42563, 329, 12234, 1275, 651, 281, 10376, 17514, 39791, 367, 2948, 6844, 3720, 28265, 1388, 18, 365, 10130, 329, 774, 34544, 291, 12899, 3541, 639, 1269, 1810, 16, 515, 2948, 25871, 519, 16838, 6740, 10485, 18, 17738, 478, 12003, 394, 507, 470, 42255, 450, 19609, 46623, 2948, 3221, 4165, 18, 478, 563, 455, 10347, 470, 575, 1728, 12063, 9724, 651, 39791, 3619, 34840, 289, 309, 2992, 2849, 322, 4223, 18, 24846, 4446, 2337, 1076, 538, 15774, 323, 289, 1188, 3818, 23511, 304, 7451, 4024, 651, 281, 31811, 20010, 46234, 46164, 13681, 301, 1241, 301, 3533, 18, 365, 15301, 29235, 23253, 778, 39914, 13721, 271, 8440, 526, 651, 583, 8519, 282, 17025, 16, 46016, 349, 34414, 289, 5354, 396, 6305, 8438, 46234, 282, 13757, 883, 6421, 18, 5043, 16, 1373, 575, 7974, 40383, 394, 2931, 5009, 2022, 13303, 2235, 282, 20545, 18, 478, 563, 455, 10347, 470, 1269, 5514, 1475, 16, 515, 49257, 528, 7509, 685, 1968, 1957, 18, 999, 36670, 7130, 519, 3915, 10485, 17711, 1483, 14940, 9724, 46234, 371, 20228, 411, 1360, 10580, 16, 289, 981, 3284, 504, 7460, 7243, 1475, 2019, 1176, 309, 1176, 18, 2725, 6436, 1373, 575, 4445, 44368, 17, 264, 487, 16, 45227, 19671, 521, 309, 35743, 474, 13230, 16, 515, 26946, 10133, 322, 3225, 18, 1034, 5158, 43381, 47420, 1188, 23511, 304, 5195, 478, 789, 947, 755, 861, 365, 1750, 9764, 282, 41355, 17, 40412, 2557, 289, 32239, 29565, 21166, 2497, 25734, 26749, 948, 401, 21857, 373, 282, 21854, 18, 2046, 477, 1360, 16213, 327, 12476, 873, 322, 47844, 18, 985, 1109, 1011, 7977, 16095, 26749, 16748, 16, 2117, 28009, 8552, 323, 18, 17102, 44994, 451, 11274, 368, 4966, 34406, 567, 7422, 29235, 16, 785, 349, 2511, 1879, 4153, 18498, 31273, 1763, 9973, 702, 6527, 2852, 15277, 296, 18, 365, 8151, 5897, 4699, 24701, 478, 4298, 844, 470, 4426, 45796, 18083, 15498, 39609, 367, 6276, 4024, 18, 640, 9268, 20537, 26749, 16748, 45227, 39172, 5409, 1344, 354, 1624, 289, 10121, 378, 4083, 6981, 2380, 10927, 282, 290, 551, 6189, 277, 18, 365, 27283, 808, 23952, 432, 15277, 296, 322, 639, 16, 367, 282, 7756, 28940, 326, 712, 46459, 1176, 687 ]
[ 15498, 39609, 18, 26749, 16748, 8566, 8955, 478, 4298, 10654, 470, 20818, 1406, 18, 5749, 576, 1791, 478, 16563, 5002, 1508, 470, 42655, 25883, 11178, 868, 478, 44230, 11740, 285, 861, 30628, 873, 1741, 282, 20545, 16, 10490, 8782, 297, 31066, 334, 8954, 7977, 16, 515, 38359, 506, 349, 13437, 282, 20035, 322, 21648, 18, 18098, 549, 15277, 807, 282, 8267, 309, 14540, 30236, 14998, 6992, 22686, 1624, 594, 2822, 28067, 478, 16563, 5002, 507, 470, 309, 5017, 4028, 11056, 18, 824, 1272, 26654, 282, 1335, 9547, 8074, 326, 6096, 38546, 1624, 4944, 25647, 612, 1520, 289, 6363, 33025, 272, 512, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 17561, 1133, 9637, 322, 1747, 9038, 44331, 17, 897, 22963, 289, 18351, 382, 18, 15066, 33331, 20321, 3043, 9069, 309, 17292, 4772, 17, 11800, 962, 27172, 3352, 18, 6592, 1210, 9037, 3352, 16, 519, 430, 4209, 1939, 5759, 779, 19336, 2010, 34498, 30941, 18351, 382, 18, 967, 803, 4226, 4644, 14845, 17, 897, 363, 368, 411, 8374, 18555, 1747, 4590, 1954, 1139, 478, 669, 13846, 861, 49328, 1038, 44344, 289, 41474, 14464, 8312, 6101, 18, 31224, 30, 25053, 429, 7583, 4257, 31573, 14851, 5836, 18, 3266, 1703, 19336, 519, 7294, 1939, 5759, 779, 28716, 487, 30941, 32884, 448, 18351, 382, 18, 19112, 27073, 36673, 47787, 478, 630, 29116, 9713, 282, 14471, 39905, 9285, 3259, 35306, 18133, 282, 36110, 808, 910, 3043, 37783, 309, 17292, 4772, 17, 11800, 962, 27172, 3352, 18, 478, 4670, 13434, 649, 519, 430, 4209, 1939, 5759, 779, 4590, 1616, 18351, 368, 32884, 432, 16, 35269, 44139, 4855, 4016, 289, 5741, 3343, 39905, 9285, 3259, 35306, 18133, 282, 36110, 808, 910, 510, 5130, 282, 16152, 6325, 18, 967, 803, 49660, 6684, 18351, 368, 322, 15880, 14909, 16, 9278, 539, 47787, 18, 996, 16, 3057, 16, 13549, 478, 669, 21736, 17, 897, 8112, 470, 8599, 50234, 33788, 12301, 18, 1591, 1209, 6160, 39751, 978, 25949, 329, 3346, 282, 21858, 22179, 16, 2567, 428, 478, 669, 21736, 17, 897, 8112, 26680, 2232, 470, 670, 478, 669, 21736, 17, 897, 8112, 411, 8374, 18555, 281, 40902, 635, 910, 3702, 478, 669, 21736, 17, 897, 8112, 470, 840, 8356, 1569, 309, 1139, 478, 669, 15928, 861, 2949, 924, 16, 34426, 26265, 11195, 15294, 3541, 434, 9536, 11604, 34738, 40902, 343, 18, 11849, 39664, 478, 344, 807, 890, 470, 1441, 840, 19821, 3702, 478, 6546, 26518, 343, 910, 367, 41961, 32884, 448, 22357, 1747, 34000, 1139, 478, 1123, 564, 22357, 861, 49328, 44344, 289, 13416, 29470, 16521, 1333, 18, 365, 18923, 5130, 16, 374, 10398, 309, 5418, 16073, 2612, 9637, 1441, 1747, 9038, 764, 289, 47072, 16, 961, 1747, 4590, 1954, 334, 1871, 35382, 282, 1205, 18, 478, 789, 344, 1013, 4590, 802, 687, 11962, 5368, 16, 2972, 9173, 18022, 9324, 334, 47218, 309, 2993, 4163, 2411, 5101, 16, 12178, 13752, 289, 5887, 16, 289, 5874, 363, 2675, 6798, 17, 5350, 933, 20625, 7257, 19267, 1175, 225, 910, 510, 13462, 282, 25223, 18, 17246, 21591, 549, 30872, 4504, 8312, 6101, 9601, 282, 5653, 1045, 16, 785, 3059, 9362, 7225, 17455, 15626, 2041, 9651, 523, 18, 3529, 282, 1175, 35670, 10867, 47252, 291, 16, 282, 2114, 7650, 3455, 5600, 45679, 477, 3025, 2553, 18, 19267, 41483, 1811, 16064, 8955, 282, 17907, 1693, 1147, 14342, 272, 12381, 392, 1614, 347, 14940, 329, 18, 365, 3178, 1949, 986, 13458, 2195, 6127, 1742, 6029, 6101, 16, 1029, 282, 3198, 3619, 13362, 38770, 37496, 18, 6315, 5902, 32417, 428, 17964, 8131, 343, 16, 453, 289, 10044, 455, 9322, 381, 9152, 488, 2682, 18, 7042, 16, 3057, 16, 17294, 887, 309, 11771, 42525, 4099, 3675, 9520, 541, 5887, 289, 3511, 2844, 7581, 11239, 289, 14181, 368, 18, 2263, 1614, 347, 14940, 16, 30543, 1188, 42176, 6396, 1272, 779, 1011, 9764, 282, 17907, 16, 2815, 16, 374, 5189, 16, 1586, 23735, 282, 33788, 12301, 16, 3525, 9858, 360, 505, 20138, 18, 824, 505, 3163, 16, 541, 37455, 37141, 2739, 6034, 898, 8356, 1007, 309, 2619, 30675, 18, 2112, 978, 32922, 19267, 2518, 857, 12631, 18022, 4769, 18, 365, 2801, 1045, 411, 9322, 381, 9152, 488, 2682, 5285, 4030, 1514, 726, 46963, 1326, 1079, 25231, 18, 3529, 9128, 9362, 7225, 1175, 6370, 35511, 3930, 2815, 16, 374, 28402, 11213, 857, 541, 6114, 11476, 491, 3763, 1053, 29051, 515, 2449, 289, 430, 16, 22, 3763, 1053, 30881, 18, 9418, 281, 1326, 29626, 1082, 26218, 3457, 289, 12023, 8808, 288, 1505, 21096, 18, 4663, 45843, 49514, 15348, 1082, 281, 13003, 8005, 3347, 18, 40383, 801, 16, 9705, 16, 23304, 21894, 541, 1110, 16, 1085, 13717, 309, 22048, 1555, 9505, 423, 18, 49328, 44344, 289, 2567, 8656, 16, 428, 309, 6839, 20747, 16, 282, 2452, 2024, 22907, 5958, 368, 16, 31243, 670, 474, 897, 320, 425, 16, 374, 322, 4360, 16448, 9093, 478, 700, 2253, 861, 640, 18506, 9721, 24102, 348, 8286, 18, 3791, 16, 3235, 1223, 15771, 2198, 16, 309, 6380, 14416, 424, 12190, 47521, 294, 7889, 4151, 294, 1643, 289, 48245, 281, 1927, 23688, 416, 1632, 27192, 18, 365, 11500, 6705, 779, 22294, 9362, 7225, 1175, 4944, 8450, 30278, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 470, 2815, 1624, 374, 25079, 5189, 2756, 36874, 289, 18987, 18, 478, 36250, 16, 7969, 5189, 16, 5428, 16, 678, 939, 3393, 324, 18, 365, 1420, 1135, 8471, 334, 14975, 3538, 322, 5992, 16, 828, 282, 2954, 1212, 16, 367, 309, 2218, 2193, 510, 1882, 18, 28305, 16, 428, 19034, 2874, 20320, 18, 1012, 1314, 322, 4094, 927, 2567, 1215, 1512, 30, 9667, 8761, 287, 1815, 3133, 16, 14113, 311, 896, 274, 35093, 382, 16, 1421, 11935, 343, 18, 2387, 18, 4338, 2874, 20320, 289, 44632, 510, 1139, 31185, 873, 18, 629, 510, 2954, 778, 12501, 14532, 3137, 16, 367, 41213, 282, 5492, 289, 760, 16500, 2184, 910, 510, 1109, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 1144, 549, 10177, 478, 24073, 910, 17446, 2144, 1171, 86, 2718, 444, 289, 9762, 713, 778, 8275, 9311, 282, 17597, 14795, 17310, 6925, 23850, 27587, 680, 6340, 16, 2452, 4651, 282, 6937, 4830, 2145, 18, 26966, 22154, 27268, 44346, 6271, 6508, 4118, 6959, 4838, 16, 515, 697, 7190, 7788, 22807, 478, 280, 962, 3570, 360, 11129, 861, 31224, 30, 618, 293, 7414, 14840, 2145, 334, 12448, 26341, 35366, 17917, 343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15498, 39609, 18, 26749, 16748, 8566, 8955, 478, 4298, 10654, 470, 20818, 1406, 18, 5749, 576, 1791, 478, 16563, 5002, 1508, 470, 42655, 25883, 11178, 868, 478, 44230, 11740, 285, 861, 30628, 873, 1741, 282, 20545, 16, 10490, 8782, 297, 31066, 334, 8954, 7977, 16, 515, 38359, 506, 349, 13437, 282, 20035, 322, 21648, 18, 18098, 549, 15277, 807, 282, 8267, 309, 14540, 30236, 14998, 6992, 22686, 1624, 594, 2822, 28067, 478, 16563, 5002, 507, 470, 309, 5017, 4028, 11056, 18, 824, 1272, 26654, 282, 1335, 9547, 8074, 326, 6096, 38546, 1624, 4944, 25647, 612, 1520, 289, 6363, 33025, 272, 512, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 17561, 1133, 9637, 322, 1747, 9038, 44331, 17, 897, 22963, 289, 18351, 382, 18, 15066, 33331, 20321, 3043, 9069, 309, 17292, 4772, 17, 11800, 962, 27172, 3352, 18, 6592, 1210, 9037, 3352, 16, 519, 430, 4209, 1939, 5759, 779, 19336, 2010, 34498, 30941, 18351, 382, 18, 967, 803, 4226, 4644, 14845, 17, 897, 363, 368, 411, 8374, 18555, 1747, 4590, 1954, 1139, 478, 669, 13846, 861, 49328, 1038, 44344, 289, 41474, 14464, 8312, 6101, 18, 31224, 30, 25053, 429, 7583, 4257, 31573, 14851, 5836, 18, 3266, 1703, 19336, 519, 7294, 1939, 5759, 779, 28716, 487, 30941, 32884, 448, 18351, 382, 18, 19112, 27073, 36673, 47787, 478, 630, 29116, 9713, 282, 14471, 39905, 9285, 3259, 35306, 18133, 282, 36110, 808, 910, 3043, 37783, 309, 17292, 4772, 17, 11800, 962, 27172, 3352, 18, 478, 4670, 13434, 649, 519, 430, 4209, 1939, 5759, 779, 4590, 1616, 18351, 368, 32884, 432, 16, 35269, 44139, 4855, 4016, 289, 5741, 3343, 39905, 9285, 3259, 35306, 18133, 282, 36110, 808, 910, 510, 5130, 282, 16152, 6325, 18, 967, 803, 49660, 6684, 18351, 368, 322, 15880, 14909, 16, 9278, 539, 47787, 18, 996, 16, 3057, 16, 13549, 478, 669, 21736, 17, 897, 8112, 470, 8599, 50234, 33788, 12301, 18, 1591, 1209, 6160, 39751, 978, 25949, 329, 3346, 282, 21858, 22179, 16, 2567, 428, 478, 669, 21736, 17, 897, 8112, 26680, 2232, 470, 670, 478, 669, 21736, 17, 897, 8112, 411, 8374, 18555, 281, 40902, 635, 910, 3702, 478, 669, 21736, 17, 897, 8112, 470, 840, 8356, 1569, 309, 1139, 478, 669, 15928, 861, 2949, 924, 16, 34426, 26265, 11195, 15294, 3541, 434, 9536, 11604, 34738, 40902, 343, 18, 11849, 39664, 478, 344, 807, 890, 470, 1441, 840, 19821, 3702, 478, 6546, 26518, 343, 910, 367, 41961, 32884, 448, 22357, 1747, 34000, 1139, 478, 1123, 564, 22357, 861, 49328, 44344, 289, 13416, 29470, 16521, 1333, 18, 365, 18923, 5130, 16, 374, 10398, 309, 5418, 16073, 2612, 9637, 1441, 1747, 9038, 764, 289, 47072, 16, 961, 1747, 4590, 1954, 334, 1871, 35382, 282, 1205, 18, 478, 789, 344, 1013, 4590, 802, 687, 11962, 5368, 16, 2972, 9173, 18022, 9324, 334, 47218, 309, 2993, 4163, 2411, 5101, 16, 12178, 13752, 289, 5887, 16, 289, 5874, 363, 2675, 6798, 17, 5350, 933, 20625, 7257, 19267, 1175, 225, 910, 510, 13462, 282, 25223, 18, 17246, 21591, 549, 30872, 4504, 8312, 6101, 9601, 282, 5653, 1045, 16, 785, 3059, 9362, 7225, 17455, 15626, 2041, 9651, 523, 18, 3529, 282, 1175, 35670, 10867, 47252, 291, 16, 282, 2114, 7650, 3455, 5600, 45679, 477, 3025, 2553, 18, 19267, 41483, 1811, 16064, 8955, 282, 17907, 1693, 1147, 14342, 272, 12381, 392, 1614, 347, 14940, 329, 18, 365, 3178, 1949, 986, 13458, 2195, 6127, 1742, 6029, 6101, 16, 1029, 282, 3198, 3619, 13362, 38770, 37496, 18, 6315, 5902, 32417, 428, 17964, 8131, 343, 16, 453, 289, 10044, 455, 9322, 381, 9152, 488, 2682, 18, 7042, 16, 3057, 16, 17294, 887, 309, 11771, 42525, 4099, 3675, 9520, 541, 5887, 289, 3511, 2844, 7581, 11239, 289, 14181, 368, 18, 2263, 1614, 347, 14940, 16, 30543, 1188, 42176, 6396, 1272, 779, 1011, 9764, 282, 17907, 16, 2815, 16, 374, 5189, 16, 1586, 23735, 282, 33788, 12301, 16, 3525, 9858, 360, 505, 20138, 18, 824, 505, 3163, 16, 541, 37455, 37141, 2739, 6034, 898, 8356, 1007, 309, 2619, 30675, 18, 2112, 978, 32922, 19267, 2518, 857, 12631, 18022, 4769, 18, 365, 2801, 1045, 411, 9322, 381, 9152, 488, 2682, 5285, 4030, 1514, 726, 46963, 1326, 1079, 25231, 18, 3529, 9128, 9362, 7225, 1175, 6370, 35511, 3930, 2815, 16, 374, 28402, 11213, 857, 541, 6114, 11476, 491, 3763, 1053, 29051, 515, 2449, 289, 430, 16, 22, 3763, 1053, 30881, 18, 9418, 281, 1326, 29626, 1082, 26218, 3457, 289, 12023, 8808, 288, 1505, 21096, 18, 4663, 45843, 49514, 15348, 1082, 281, 13003, 8005, 3347, 18, 40383, 801, 16, 9705, 16, 23304, 21894, 541, 1110, 16, 1085, 13717, 309, 22048, 1555, 9505, 423, 18, 49328, 44344, 289, 2567, 8656, 16, 428, 309, 6839, 20747, 16, 282, 2452, 2024, 22907, 5958, 368, 16, 31243, 670, 474, 897, 320, 425, 16, 374, 322, 4360, 16448, 9093, 478, 700, 2253, 861, 640, 18506, 9721, 24102, 348, 8286, 18, 3791, 16, 3235, 1223, 15771, 2198, 16, 309, 6380, 14416, 424, 12190, 47521, 294, 7889, 4151, 294, 1643, 289, 48245, 281, 1927, 23688, 416, 1632, 27192, 18, 365, 11500, 6705, 779, 22294, 9362, 7225, 1175, 4944, 8450, 30278, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 470, 2815, 1624, 374, 25079, 5189, 2756, 36874, 289, 18987, 18, 478, 36250, 16, 7969, 5189, 16, 5428, 16, 678, 939, 3393, 324, 18, 365, 1420, 1135, 8471, 334, 14975, 3538, 322, 5992, 16, 828, 282, 2954, 1212, 16, 367, 309, 2218, 2193, 510, 1882, 18, 28305, 16, 428, 19034, 2874, 20320, 18, 1012, 1314, 322, 4094, 927, 2567, 1215, 1512, 30, 9667, 8761, 287, 1815, 3133, 16, 14113, 311, 896, 274, 35093, 382, 16, 1421, 11935, 343, 18, 2387, 18, 4338, 2874, 20320, 289, 44632, 510, 1139, 31185, 873, 18, 629, 510, 2954, 778, 12501, 14532, 3137, 16, 367, 41213, 282, 5492, 289, 760, 16500, 2184, 910, 510, 1109, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 1144, 549, 10177, 478, 24073, 910, 17446, 2144, 1171, 86, 2718, 444, 289, 9762, 713, 778, 8275, 9311, 282, 17597, 14795, 17310, 6925, 23850, 27587, 680, 6340, 16, 2452, 4651, 282, 6937, 4830, 2145, 18, 26966, 22154, 27268, 44346, 6271, 6508, 4118, 6959, 4838, 16, 515, 697, 7190, 7788, 22807, 478, 280, 962, 3570, 360, 11129, 861, 31224, 30, 618, 293, 7414, 14840, 2145, 334, 12448, 26341, 35366, 17917, 343 ]
[ 32870, 472, 853, 10196, 343, 21949, 17597, 14795, 17310, 34401, 334, 49613, 10343, 8422, 354, 18, 365, 6656, 9311, 4772, 17, 35732, 289, 33964, 29577, 18, 365, 14526, 478, 44084, 45840, 45846, 5928, 323, 34401, 470, 32935, 10177, 478, 24073, 910, 1677, 32868, 17, 266, 1866, 9058, 2144, 1171, 86, 2718, 444, 18, 11783, 473, 919, 1779, 386, 514, 8598, 87, 18, 1572, 18, 510, 478, 18386, 18, 8381, 12235, 9762, 713, 778, 8275, 282, 3507, 16, 14775, 778, 8275, 478, 21521, 7434, 910, 20203, 1677, 32868, 17, 266, 1866, 9058, 19309, 461, 28669, 16, 11113, 1712, 6081, 1162, 8203, 2232, 4461, 951, 8395, 89, 1624, 4772, 17, 1396, 18540, 1273, 969, 1106, 1899, 22155, 16, 29577, 282, 13340, 12903, 289, 15530, 17, 46974, 11736, 18, 3759, 478, 293, 1206, 315, 18378, 22331, 470, 45440, 27587, 662, 16, 13462, 282, 30989, 35366, 17917, 343, 32870, 334, 26341, 18, 34469, 43075, 334, 8872, 10438, 16, 9725, 9314, 430, 3802, 4479, 779, 1011, 478, 324, 1746, 27236, 38049, 47896, 1562, 861, 478, 26404, 2394, 2625, 18675, 1378, 1562, 13342, 46931, 9870, 334, 8384, 281, 27587, 1518, 289, 10343, 8422, 7310, 2304, 2206, 309, 1967, 289, 8689, 26476, 910, 510, 13120, 282, 2713, 7292, 23557, 4642, 16, 1029, 22083, 3836, 541, 478, 14020, 488, 1816, 5348, 861, 27695, 3594, 403, 8231, 24063, 38574, 401, 3365, 381, 803, 23557, 4642, 16, 515, 322, 13202, 6406, 16, 840, 520, 8231, 3836, 8501, 282, 3705, 18, 478, 4348, 6129, 38208, 475, 3193, 16, 11419, 281, 29065, 979, 36286, 282, 12462, 910, 510, 14291, 678, 18, 38574, 401, 322, 2199, 2773, 16, 374, 282, 38309, 25490, 14840, 2145, 30519, 2712, 687, 9762, 713, 778, 8275, 16, 515, 322, 25892, 478, 22766, 296, 3817, 861, 478, 677, 3198, 9870, 16, 34396, 282, 6104, 1045, 16, 17161, 489, 549, 5998, 309, 478, 22766, 296, 10862, 470, 41626, 16, 1830, 1177, 289, 10476, 10502, 2332, 4607, 3305, 475, 764, 12378, 282, 4577, 4611, 29966, 1051, 910, 510, 16926, 5854, 3594, 403, 18, 22319, 9762, 713, 718, 7043, 322, 2703, 4826, 33335, 14678, 18, 824, 3761, 14392, 25490, 14840, 2145, 16, 1176, 411, 4317, 3322, 46265, 4486, 282, 2968, 4772, 17, 21512, 1015, 478, 24073, 470, 4360, 22308, 21071, 3772, 294, 30298, 749, 9959, 47860, 1887, 18, 478, 24073, 470, 726, 3696, 6355, 478, 44802, 2389, 910, 515, 481, 7199, 8967, 16, 6959, 401, 4749, 41535, 10855, 16, 22985, 5854, 8752, 5324, 25065, 29849, 16949, 809, 375, 473, 33929, 1162, 18281, 783, 8411, 3158, 1594, 21200, 6271, 510, 478, 18386, 18, 8381, 11523, 478, 2176, 1177, 445, 5860, 5808, 7190, 6937, 2994, 40000, 2145, 9142, 515, 745, 2485, 382, 360, 11129, 16, 322, 4247, 9815, 290, 9524, 1552, 282, 2759, 4008, 289, 322, 6597, 290, 7426, 36133, 1037, 4912, 478, 24073, 470, 282, 1335, 1767, 910, 510, 2548, 29849, 16949, 809, 375, 18, 824, 505, 3163, 16, 32935, 10177, 478, 8844, 262, 4826, 44346, 35196, 2678, 282, 28054, 10808, 2100, 34713, 1952, 329, 813, 309, 3614, 289, 16587, 9153, 1519, 31676, 861, 889, 478, 2798, 420, 488, 2712, 475, 3860, 470, 1251, 4517, 761, 289, 47860, 7771, 16, 26698, 5854, 478, 24073, 861, 27695, 9835, 16065, 431, 8472, 478, 10430, 341, 375, 910, 1586, 13309, 27412, 1027, 16870, 282, 5034, 547, 2463, 16, 5709, 1734, 309, 15829, 478, 24073, 910, 39926, 2822, 12667, 749, 9959, 47860, 1887, 16, 2548, 16, 374, 21284, 322, 38661, 17929, 290, 478, 2810, 2439, 1640, 470, 360, 8752, 5324, 18, 48070, 10931, 16, 23006, 282, 10357, 707, 951, 561, 56, 514, 8598, 16, 961, 10842, 2156, 2098, 9654, 4982, 448, 23062, 26518, 1018, 16, 726, 2458, 478, 589, 1155, 3334, 1673, 2661, 910, 13462, 282, 30989, 25490, 14840, 2145, 18, 365, 697, 2875, 5120, 13389, 14132, 1101, 282, 19992, 1273, 969, 1106, 1899, 22155, 16, 22244, 778, 907, 2643, 44, 19419, 16, 282, 4459, 2024, 4674, 318, 1263, 265, 282, 2145, 289, 32164, 16, 2144, 1171, 86, 2718, 444, 18, 11783, 16, 20203, 17446, 19309, 534, 28669, 16, 1029, 8034, 282, 7593, 3322, 46265, 4486, 10931, 282, 2145, 18, 25127, 13859, 17, 16076, 301, 1643, 322, 44108, 16, 24549, 10033, 2452, 1947, 29471, 18, 478, 1295, 525, 45599, 2900, 5064, 510, 481, 11268, 16, 1586, 16, 428, 656, 7836, 16, 3964, 322, 1494, 9940, 29328, 281, 31349, 910, 510, 2815, 5854, 2144, 1171, 86, 2718, 444, 18, 11783, 478, 46088, 18, 8381, 861, 817, 13744, 16, 374, 478, 48693, 17, 293, 4571, 38556, 2873, 16, 282, 2875, 1639, 939, 1269, 11673, 16, 2944, 289, 8103, 5280, 4283, 12330, 309, 1617, 11401, 447, 309, 2144, 1171, 86, 2718, 444, 18, 11783, 281, 3195, 13652, 18078, 712, 861, 25652, 17, 9952, 2144, 1171, 86, 2718, 444, 18, 11783, 8977, 16, 374, 18974, 29121, 3785, 1130, 17145, 88, 514, 8598, 6558, 8087, 309, 20758, 12359, 933, 29427, 16, 515, 46199, 21738, 291, 26877, 322, 17193, 455, 16, 753, 478, 404, 11670, 11839, 13900, 367, 675, 4970, 626, 2917, 1335, 9616, 861, 365, 23557, 4642, 25490, 14840, 25892, 16, 374, 2144, 1171, 86, 2718, 444, 18, 11783, 478, 296, 41908, 4164, 282, 1175, 910, 515, 5854, 3594, 403, 5273, 16, 374, 478, 599, 552, 4371, 1513, 9434, 861, 24063, 38574, 401, 2271, 2582, 16, 374, 8231, 478, 28545, 470, 1195, 2184, 4842, 3032, 16, 289, 322, 5285, 5481, 505, 27832, 16, 478, 10767, 1122, 17161, 489, 451, 31676, 861, 740, 16, 827, 1776, 38471, 29121, 3164, 349, 17784, 16, 481, 840, 16859, 2048, 16, 26136, 678, 30, 24324, 1888, 2044, 322, 1494, 20165, 5698, 2722, 3352, 24721, 17540, 18, 478, 24073, 470, 289, 2144, 1171, 86, 2718, 444, 18, 11783, 1698, 478, 8665, 394, 874, 1264, 470, 309, 8225, 10931, 541, 13453, 284, 538, 2099, 10962, 434, 35196, 16, 2548, 12189, 38872, 478, 1182, 884, 277, 470, 17397, 450, 538, 873, 268, 18, 25768, 523, 5103, 1293, 986, 2158, 17040, 820, 47474, 30195, 18, 3758, 16, 961, 25262, 10064, 20264, 27587, 933, 4974, 16, 11534, 322, 21519, 332, 309, 2768, 4600, 18, 2876, 5120, 28328, 18536, 478, 44802, 712, 470, 25490, 14840, 2145, 13509, 322, 8090, 23119, 16, 18789, 450, 538, 873, 268, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 12421, 17, 13522, 1175, 6370, 16640, 664, 19004, 2823, 5035, 433, 554, 16078, 864, 30, 4830, 2145, 478, 766, 4548, 467, 12959, 289, 13653, 861, 34031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32870, 472, 853, 10196, 343, 21949, 17597, 14795, 17310, 34401, 334, 49613, 10343, 8422, 354, 18, 365, 6656, 9311, 4772, 17, 35732, 289, 33964, 29577, 18, 365, 14526, 478, 44084, 45840, 45846, 5928, 323, 34401, 470, 32935, 10177, 478, 24073, 910, 1677, 32868, 17, 266, 1866, 9058, 2144, 1171, 86, 2718, 444, 18, 11783, 473, 919, 1779, 386, 514, 8598, 87, 18, 1572, 18, 510, 478, 18386, 18, 8381, 12235, 9762, 713, 778, 8275, 282, 3507, 16, 14775, 778, 8275, 478, 21521, 7434, 910, 20203, 1677, 32868, 17, 266, 1866, 9058, 19309, 461, 28669, 16, 11113, 1712, 6081, 1162, 8203, 2232, 4461, 951, 8395, 89, 1624, 4772, 17, 1396, 18540, 1273, 969, 1106, 1899, 22155, 16, 29577, 282, 13340, 12903, 289, 15530, 17, 46974, 11736, 18, 3759, 478, 293, 1206, 315, 18378, 22331, 470, 45440, 27587, 662, 16, 13462, 282, 30989, 35366, 17917, 343, 32870, 334, 26341, 18, 34469, 43075, 334, 8872, 10438, 16, 9725, 9314, 430, 3802, 4479, 779, 1011, 478, 324, 1746, 27236, 38049, 47896, 1562, 861, 478, 26404, 2394, 2625, 18675, 1378, 1562, 13342, 46931, 9870, 334, 8384, 281, 27587, 1518, 289, 10343, 8422, 7310, 2304, 2206, 309, 1967, 289, 8689, 26476, 910, 510, 13120, 282, 2713, 7292, 23557, 4642, 16, 1029, 22083, 3836, 541, 478, 14020, 488, 1816, 5348, 861, 27695, 3594, 403, 8231, 24063, 38574, 401, 3365, 381, 803, 23557, 4642, 16, 515, 322, 13202, 6406, 16, 840, 520, 8231, 3836, 8501, 282, 3705, 18, 478, 4348, 6129, 38208, 475, 3193, 16, 11419, 281, 29065, 979, 36286, 282, 12462, 910, 510, 14291, 678, 18, 38574, 401, 322, 2199, 2773, 16, 374, 282, 38309, 25490, 14840, 2145, 30519, 2712, 687, 9762, 713, 778, 8275, 16, 515, 322, 25892, 478, 22766, 296, 3817, 861, 478, 677, 3198, 9870, 16, 34396, 282, 6104, 1045, 16, 17161, 489, 549, 5998, 309, 478, 22766, 296, 10862, 470, 41626, 16, 1830, 1177, 289, 10476, 10502, 2332, 4607, 3305, 475, 764, 12378, 282, 4577, 4611, 29966, 1051, 910, 510, 16926, 5854, 3594, 403, 18, 22319, 9762, 713, 718, 7043, 322, 2703, 4826, 33335, 14678, 18, 824, 3761, 14392, 25490, 14840, 2145, 16, 1176, 411, 4317, 3322, 46265, 4486, 282, 2968, 4772, 17, 21512, 1015, 478, 24073, 470, 4360, 22308, 21071, 3772, 294, 30298, 749, 9959, 47860, 1887, 18, 478, 24073, 470, 726, 3696, 6355, 478, 44802, 2389, 910, 515, 481, 7199, 8967, 16, 6959, 401, 4749, 41535, 10855, 16, 22985, 5854, 8752, 5324, 25065, 29849, 16949, 809, 375, 473, 33929, 1162, 18281, 783, 8411, 3158, 1594, 21200, 6271, 510, 478, 18386, 18, 8381, 11523, 478, 2176, 1177, 445, 5860, 5808, 7190, 6937, 2994, 40000, 2145, 9142, 515, 745, 2485, 382, 360, 11129, 16, 322, 4247, 9815, 290, 9524, 1552, 282, 2759, 4008, 289, 322, 6597, 290, 7426, 36133, 1037, 4912, 478, 24073, 470, 282, 1335, 1767, 910, 510, 2548, 29849, 16949, 809, 375, 18, 824, 505, 3163, 16, 32935, 10177, 478, 8844, 262, 4826, 44346, 35196, 2678, 282, 28054, 10808, 2100, 34713, 1952, 329, 813, 309, 3614, 289, 16587, 9153, 1519, 31676, 861, 889, 478, 2798, 420, 488, 2712, 475, 3860, 470, 1251, 4517, 761, 289, 47860, 7771, 16, 26698, 5854, 478, 24073, 861, 27695, 9835, 16065, 431, 8472, 478, 10430, 341, 375, 910, 1586, 13309, 27412, 1027, 16870, 282, 5034, 547, 2463, 16, 5709, 1734, 309, 15829, 478, 24073, 910, 39926, 2822, 12667, 749, 9959, 47860, 1887, 16, 2548, 16, 374, 21284, 322, 38661, 17929, 290, 478, 2810, 2439, 1640, 470, 360, 8752, 5324, 18, 48070, 10931, 16, 23006, 282, 10357, 707, 951, 561, 56, 514, 8598, 16, 961, 10842, 2156, 2098, 9654, 4982, 448, 23062, 26518, 1018, 16, 726, 2458, 478, 589, 1155, 3334, 1673, 2661, 910, 13462, 282, 30989, 25490, 14840, 2145, 18, 365, 697, 2875, 5120, 13389, 14132, 1101, 282, 19992, 1273, 969, 1106, 1899, 22155, 16, 22244, 778, 907, 2643, 44, 19419, 16, 282, 4459, 2024, 4674, 318, 1263, 265, 282, 2145, 289, 32164, 16, 2144, 1171, 86, 2718, 444, 18, 11783, 16, 20203, 17446, 19309, 534, 28669, 16, 1029, 8034, 282, 7593, 3322, 46265, 4486, 10931, 282, 2145, 18, 25127, 13859, 17, 16076, 301, 1643, 322, 44108, 16, 24549, 10033, 2452, 1947, 29471, 18, 478, 1295, 525, 45599, 2900, 5064, 510, 481, 11268, 16, 1586, 16, 428, 656, 7836, 16, 3964, 322, 1494, 9940, 29328, 281, 31349, 910, 510, 2815, 5854, 2144, 1171, 86, 2718, 444, 18, 11783, 478, 46088, 18, 8381, 861, 817, 13744, 16, 374, 478, 48693, 17, 293, 4571, 38556, 2873, 16, 282, 2875, 1639, 939, 1269, 11673, 16, 2944, 289, 8103, 5280, 4283, 12330, 309, 1617, 11401, 447, 309, 2144, 1171, 86, 2718, 444, 18, 11783, 281, 3195, 13652, 18078, 712, 861, 25652, 17, 9952, 2144, 1171, 86, 2718, 444, 18, 11783, 8977, 16, 374, 18974, 29121, 3785, 1130, 17145, 88, 514, 8598, 6558, 8087, 309, 20758, 12359, 933, 29427, 16, 515, 46199, 21738, 291, 26877, 322, 17193, 455, 16, 753, 478, 404, 11670, 11839, 13900, 367, 675, 4970, 626, 2917, 1335, 9616, 861, 365, 23557, 4642, 25490, 14840, 25892, 16, 374, 2144, 1171, 86, 2718, 444, 18, 11783, 478, 296, 41908, 4164, 282, 1175, 910, 515, 5854, 3594, 403, 5273, 16, 374, 478, 599, 552, 4371, 1513, 9434, 861, 24063, 38574, 401, 2271, 2582, 16, 374, 8231, 478, 28545, 470, 1195, 2184, 4842, 3032, 16, 289, 322, 5285, 5481, 505, 27832, 16, 478, 10767, 1122, 17161, 489, 451, 31676, 861, 740, 16, 827, 1776, 38471, 29121, 3164, 349, 17784, 16, 481, 840, 16859, 2048, 16, 26136, 678, 30, 24324, 1888, 2044, 322, 1494, 20165, 5698, 2722, 3352, 24721, 17540, 18, 478, 24073, 470, 289, 2144, 1171, 86, 2718, 444, 18, 11783, 1698, 478, 8665, 394, 874, 1264, 470, 309, 8225, 10931, 541, 13453, 284, 538, 2099, 10962, 434, 35196, 16, 2548, 12189, 38872, 478, 1182, 884, 277, 470, 17397, 450, 538, 873, 268, 18, 25768, 523, 5103, 1293, 986, 2158, 17040, 820, 47474, 30195, 18, 3758, 16, 961, 25262, 10064, 20264, 27587, 933, 4974, 16, 11534, 322, 21519, 332, 309, 2768, 4600, 18, 2876, 5120, 28328, 18536, 478, 44802, 712, 470, 25490, 14840, 2145, 13509, 322, 8090, 23119, 16, 18789, 450, 538, 873, 268, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 12421, 17, 13522, 1175, 6370, 16640, 664, 19004, 2823, 5035, 433, 554, 16078, 864, 30, 4830, 2145, 478, 766, 4548, 467, 12959, 289, 13653, 861, 34031 ]
[ 16, 294, 7555, 16, 39248, 282, 478, 15886, 513, 1232, 292, 294, 2407, 910, 4725, 16640, 16, 1830, 492, 322, 3404, 1329, 478, 287, 9472, 2009, 470, 541, 21002, 7080, 4534, 289, 31988, 18, 31224, 30, 672, 12421, 17, 13522, 1175, 6370, 16640, 35447, 334, 5083, 12724, 4830, 2145, 5035, 35109, 34031, 309, 5969, 30483, 17, 14210, 933, 7080, 16, 3110, 24036, 1302, 1019, 461, 13543, 18, 478, 27024, 1769, 4538, 16, 492, 2994, 789, 2381, 293, 65, 1329, 281, 4947, 4611, 13095, 2009, 21002, 7080, 1251, 13092, 17986, 1055, 322, 3404, 910, 510, 4725, 5037, 5439, 2407, 18, 2949, 924, 16, 5692, 16640, 16, 7006, 520, 28565, 8908, 2048, 374, 17, 299, 282, 7823, 510, 411, 17, 431, 1413, 3559, 346, 309, 13279, 4830, 13223, 18, 21575, 4725, 16, 374, 34031, 478, 766, 4548, 467, 12959, 289, 13653, 910, 282, 4810, 510, 39248, 282, 396, 13776, 933, 10011, 1232, 292, 16, 289, 478, 3833, 530, 334, 4310, 27360, 861, 365, 32094, 371, 803, 294, 16078, 864, 10302, 281, 16841, 651, 428, 294, 21935, 289, 478, 560, 33925, 13279, 5478, 861, 16640, 1038, 9299, 16, 374, 281, 2733, 575, 16841, 5343, 40873, 373, 294, 17848, 10656, 9272, 1147, 7410, 2145, 18, 24295, 7638, 17, 13522, 8566, 3696, 3021, 23616, 2793, 12435, 16, 5816, 1453, 28343, 9444, 282, 4599, 7179, 43935, 15397, 18, 478, 618, 12435, 282, 4599, 43935, 15397, 510, 481, 2826, 23556, 23616, 2793, 16, 481, 3989, 15649, 12435, 18, 2387, 4302, 15251, 16, 374, 656, 10049, 5064, 11440, 14156, 18150, 910, 510, 1109, 16640, 18, 817, 1038, 16328, 14472, 282, 970, 16, 374, 19186, 19715, 14830, 27955, 6149, 294, 18198, 6575, 395, 13223, 18, 478, 29160, 687, 282, 970, 16, 4427, 481, 1381, 910, 510, 5692, 492, 18, 21575, 17, 13522, 9299, 16, 374, 28386, 11268, 4451, 3519, 21487, 24761, 6579, 18, 4756, 282, 20175, 281, 4552, 2922, 22065, 769, 22471, 18045, 4770, 2145, 36176, 28565, 2815, 16, 374, 5273, 478, 546, 357, 429, 43854, 470, 1595, 3149, 294, 21935, 1175, 28505, 29813, 16, 1830, 47224, 28228, 282, 505, 4459, 2002, 322, 8164, 18, 478, 1140, 813, 906, 4765, 2994, 267, 30012, 3925, 889, 906, 939, 4307, 2135, 4765, 289, 939, 12031, 910, 510, 1109, 28565, 16, 14022, 1063, 30483, 17, 14210, 778, 583, 2952, 282, 49144, 8802, 11826, 779, 18, 28565, 1038, 13744, 16, 374, 505, 478, 452, 285, 5804, 470, 20540, 282, 19569, 17343, 651, 282, 6588, 360, 1728, 11563, 33662, 16, 7340, 354, 17917, 343, 32870, 16, 492, 34943, 4862, 986, 2837, 20319, 18, 6682, 924, 16, 29745, 519, 978, 28565, 282, 27561, 281, 9577, 5325, 33409, 18045, 2815, 16, 374, 329, 31988, 898, 373, 10718, 3361, 281, 26150, 16, 827, 373, 322, 478, 45055, 321, 2844, 470, 14781, 18362, 24979, 27837, 41867, 8367, 290, 6342, 26373, 478, 13776, 1212, 11564, 21732, 470, 282, 16775, 11031, 282, 4145, 1045, 18, 478, 1358, 373, 757, 4417, 939, 10718, 3361, 281, 9609, 18, 889, 27161, 2844, 14781, 2994, 262, 19862, 11564, 21732, 65, 322, 5695, 1299, 9025, 697, 910, 510, 1109, 28565, 18, 2949, 924, 16, 13205, 5222, 282, 6940, 445, 27529, 475, 14267, 282, 39797, 5348, 282, 4301, 27803, 416, 14016, 281, 26150, 18, 478, 3096, 639, 5522, 9794, 4047, 910, 510, 9299, 4770, 18, 5343, 16, 4864, 966, 16, 42383, 475, 14267, 567, 478, 275, 482, 669, 21732, 861, 832, 3240, 13609, 5296, 30483, 17, 14210, 933, 7080, 1314, 30615, 27725, 16, 6342, 2545, 2702, 4307, 3450, 46339, 281, 9609, 282, 1767, 21666, 16, 5692, 13205, 5222, 16, 32949, 13375, 1251, 2407, 289, 2145, 349, 2303, 1742, 8275, 5538, 18, 3771, 16, 371, 803, 16, 9013, 294, 9029, 1864, 281, 2145, 30, 282, 44315, 7796, 1552, 1175, 4419, 6442, 16, 374, 5343, 9013, 18582, 281, 11173, 16678, 475, 3586, 334, 26896, 966, 40126, 289, 13848, 10927, 2420, 2155, 1949, 2044, 18, 2046, 16, 16170, 282, 11896, 263, 16, 870, 9744, 10906, 27376, 16, 687, 827, 22154, 3945, 341, 282, 1129, 8343, 17227, 18, 1591, 32975, 304, 27246, 1038, 322, 5285, 4030, 16, 374, 4137, 6732, 289, 36176, 28565, 1698, 12981, 2287, 4120, 567, 5670, 309, 28760, 334, 18186, 10630, 845, 5521, 7244, 31950, 14247, 278, 18190, 2422, 16, 1713, 20202, 6398, 16102, 6571, 7423, 18, 19065, 16, 374, 36176, 28565, 4703, 2619, 48994, 16, 828, 505, 11563, 27869, 309, 13314, 4830, 510, 21821, 18, 23979, 653, 8783, 16, 34396, 13198, 11024, 12701, 10101, 60, 16, 867, 322, 2619, 16, 46980, 16, 374, 16414, 40520, 3416, 6677, 23127, 1642, 7990, 16, 515, 334, 45142, 17622, 509, 510, 2619, 11678, 2954, 2145, 41879, 467, 13354, 34031, 18, 6592, 3761, 8508, 29836, 1234, 55, 46, 1983, 1059, 11539, 18045, 16, 10878, 4830, 23791, 7640, 9, 19874, 16, 374, 1623, 43470, 1757, 44391, 281, 2742, 505, 4770, 718, 12783, 16, 289, 309, 430, 9, 46021, 2582, 35393, 778, 6441, 18, 4707, 648, 685, 34807, 1760, 4189, 16, 349, 1119, 519, 5790, 281, 12984, 2407, 27402, 30012, 18, 1681, 36655, 34031, 477, 1963, 21385, 16, 11531, 36411, 16062, 933, 22710, 16, 23980, 25055, 5999, 1598, 6566, 11563, 17391, 34031, 687, 15947, 33025, 17, 39121, 1011, 44252, 5514, 2287, 3597, 282, 6835, 17, 17553, 5195, 1033, 9250, 16414, 360, 21669, 6905, 4623, 18, 9418, 281, 867, 1033, 11678, 36379, 19874, 510, 17530, 9, 510, 322, 7622, 28523, 13662, 8332, 3361, 1251, 11173, 16678, 289, 26150, 18, 11333, 653, 15437, 16835, 16, 374, 28565, 4167, 1251, 1949, 35352, 18, 824, 3761, 769, 22471, 18045, 16, 1011, 5790, 34031, 289, 9620, 12911, 9, 19874, 322, 7622, 7282, 10108, 1728, 15465, 282, 49144, 18, 12151, 9, 19874, 6881, 16, 374, 28565, 478, 600, 2037, 4923, 3051, 12548, 470, 334, 8823, 294, 3507, 18, 30164, 16, 2410, 14377, 536, 34031, 12547, 1286, 9, 11673, 33814, 2155, 18, 3739, 15173, 9, 36379, 35447, 349, 502, 16, 374, 4770, 2145, 7832, 294, 4433, 4551, 478, 1369, 17925, 861, 2, 1, 87, 1456, 81, 2448, 30, 1140, 22552, 10794, 16, 374, 475, 32189, 785, 17, 1796, 8105, 3236, 16, 2438, 17939, 38314, 18, 740, 322, 475, 8105, 3236, 2156, 289, 40769, 18, 528, 5528, 381, 17147, 14561, 2793, 282, 8144, 764, 2410, 7885, 16, 2686, 282, 4722, 1205, 2438, 5416, 16, 374, 13013, 16, 4426, 19336, 8885, 277, 1175, 16, 18924, 289, 478, 1916, 501, 11142, 1018, 910, 9378, 294, 9747, 289, 14612, 309, 4190, 10342 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 294, 7555, 16, 39248, 282, 478, 15886, 513, 1232, 292, 294, 2407, 910, 4725, 16640, 16, 1830, 492, 322, 3404, 1329, 478, 287, 9472, 2009, 470, 541, 21002, 7080, 4534, 289, 31988, 18, 31224, 30, 672, 12421, 17, 13522, 1175, 6370, 16640, 35447, 334, 5083, 12724, 4830, 2145, 5035, 35109, 34031, 309, 5969, 30483, 17, 14210, 933, 7080, 16, 3110, 24036, 1302, 1019, 461, 13543, 18, 478, 27024, 1769, 4538, 16, 492, 2994, 789, 2381, 293, 65, 1329, 281, 4947, 4611, 13095, 2009, 21002, 7080, 1251, 13092, 17986, 1055, 322, 3404, 910, 510, 4725, 5037, 5439, 2407, 18, 2949, 924, 16, 5692, 16640, 16, 7006, 520, 28565, 8908, 2048, 374, 17, 299, 282, 7823, 510, 411, 17, 431, 1413, 3559, 346, 309, 13279, 4830, 13223, 18, 21575, 4725, 16, 374, 34031, 478, 766, 4548, 467, 12959, 289, 13653, 910, 282, 4810, 510, 39248, 282, 396, 13776, 933, 10011, 1232, 292, 16, 289, 478, 3833, 530, 334, 4310, 27360, 861, 365, 32094, 371, 803, 294, 16078, 864, 10302, 281, 16841, 651, 428, 294, 21935, 289, 478, 560, 33925, 13279, 5478, 861, 16640, 1038, 9299, 16, 374, 281, 2733, 575, 16841, 5343, 40873, 373, 294, 17848, 10656, 9272, 1147, 7410, 2145, 18, 24295, 7638, 17, 13522, 8566, 3696, 3021, 23616, 2793, 12435, 16, 5816, 1453, 28343, 9444, 282, 4599, 7179, 43935, 15397, 18, 478, 618, 12435, 282, 4599, 43935, 15397, 510, 481, 2826, 23556, 23616, 2793, 16, 481, 3989, 15649, 12435, 18, 2387, 4302, 15251, 16, 374, 656, 10049, 5064, 11440, 14156, 18150, 910, 510, 1109, 16640, 18, 817, 1038, 16328, 14472, 282, 970, 16, 374, 19186, 19715, 14830, 27955, 6149, 294, 18198, 6575, 395, 13223, 18, 478, 29160, 687, 282, 970, 16, 4427, 481, 1381, 910, 510, 5692, 492, 18, 21575, 17, 13522, 9299, 16, 374, 28386, 11268, 4451, 3519, 21487, 24761, 6579, 18, 4756, 282, 20175, 281, 4552, 2922, 22065, 769, 22471, 18045, 4770, 2145, 36176, 28565, 2815, 16, 374, 5273, 478, 546, 357, 429, 43854, 470, 1595, 3149, 294, 21935, 1175, 28505, 29813, 16, 1830, 47224, 28228, 282, 505, 4459, 2002, 322, 8164, 18, 478, 1140, 813, 906, 4765, 2994, 267, 30012, 3925, 889, 906, 939, 4307, 2135, 4765, 289, 939, 12031, 910, 510, 1109, 28565, 16, 14022, 1063, 30483, 17, 14210, 778, 583, 2952, 282, 49144, 8802, 11826, 779, 18, 28565, 1038, 13744, 16, 374, 505, 478, 452, 285, 5804, 470, 20540, 282, 19569, 17343, 651, 282, 6588, 360, 1728, 11563, 33662, 16, 7340, 354, 17917, 343, 32870, 16, 492, 34943, 4862, 986, 2837, 20319, 18, 6682, 924, 16, 29745, 519, 978, 28565, 282, 27561, 281, 9577, 5325, 33409, 18045, 2815, 16, 374, 329, 31988, 898, 373, 10718, 3361, 281, 26150, 16, 827, 373, 322, 478, 45055, 321, 2844, 470, 14781, 18362, 24979, 27837, 41867, 8367, 290, 6342, 26373, 478, 13776, 1212, 11564, 21732, 470, 282, 16775, 11031, 282, 4145, 1045, 18, 478, 1358, 373, 757, 4417, 939, 10718, 3361, 281, 9609, 18, 889, 27161, 2844, 14781, 2994, 262, 19862, 11564, 21732, 65, 322, 5695, 1299, 9025, 697, 910, 510, 1109, 28565, 18, 2949, 924, 16, 13205, 5222, 282, 6940, 445, 27529, 475, 14267, 282, 39797, 5348, 282, 4301, 27803, 416, 14016, 281, 26150, 18, 478, 3096, 639, 5522, 9794, 4047, 910, 510, 9299, 4770, 18, 5343, 16, 4864, 966, 16, 42383, 475, 14267, 567, 478, 275, 482, 669, 21732, 861, 832, 3240, 13609, 5296, 30483, 17, 14210, 933, 7080, 1314, 30615, 27725, 16, 6342, 2545, 2702, 4307, 3450, 46339, 281, 9609, 282, 1767, 21666, 16, 5692, 13205, 5222, 16, 32949, 13375, 1251, 2407, 289, 2145, 349, 2303, 1742, 8275, 5538, 18, 3771, 16, 371, 803, 16, 9013, 294, 9029, 1864, 281, 2145, 30, 282, 44315, 7796, 1552, 1175, 4419, 6442, 16, 374, 5343, 9013, 18582, 281, 11173, 16678, 475, 3586, 334, 26896, 966, 40126, 289, 13848, 10927, 2420, 2155, 1949, 2044, 18, 2046, 16, 16170, 282, 11896, 263, 16, 870, 9744, 10906, 27376, 16, 687, 827, 22154, 3945, 341, 282, 1129, 8343, 17227, 18, 1591, 32975, 304, 27246, 1038, 322, 5285, 4030, 16, 374, 4137, 6732, 289, 36176, 28565, 1698, 12981, 2287, 4120, 567, 5670, 309, 28760, 334, 18186, 10630, 845, 5521, 7244, 31950, 14247, 278, 18190, 2422, 16, 1713, 20202, 6398, 16102, 6571, 7423, 18, 19065, 16, 374, 36176, 28565, 4703, 2619, 48994, 16, 828, 505, 11563, 27869, 309, 13314, 4830, 510, 21821, 18, 23979, 653, 8783, 16, 34396, 13198, 11024, 12701, 10101, 60, 16, 867, 322, 2619, 16, 46980, 16, 374, 16414, 40520, 3416, 6677, 23127, 1642, 7990, 16, 515, 334, 45142, 17622, 509, 510, 2619, 11678, 2954, 2145, 41879, 467, 13354, 34031, 18, 6592, 3761, 8508, 29836, 1234, 55, 46, 1983, 1059, 11539, 18045, 16, 10878, 4830, 23791, 7640, 9, 19874, 16, 374, 1623, 43470, 1757, 44391, 281, 2742, 505, 4770, 718, 12783, 16, 289, 309, 430, 9, 46021, 2582, 35393, 778, 6441, 18, 4707, 648, 685, 34807, 1760, 4189, 16, 349, 1119, 519, 5790, 281, 12984, 2407, 27402, 30012, 18, 1681, 36655, 34031, 477, 1963, 21385, 16, 11531, 36411, 16062, 933, 22710, 16, 23980, 25055, 5999, 1598, 6566, 11563, 17391, 34031, 687, 15947, 33025, 17, 39121, 1011, 44252, 5514, 2287, 3597, 282, 6835, 17, 17553, 5195, 1033, 9250, 16414, 360, 21669, 6905, 4623, 18, 9418, 281, 867, 1033, 11678, 36379, 19874, 510, 17530, 9, 510, 322, 7622, 28523, 13662, 8332, 3361, 1251, 11173, 16678, 289, 26150, 18, 11333, 653, 15437, 16835, 16, 374, 28565, 4167, 1251, 1949, 35352, 18, 824, 3761, 769, 22471, 18045, 16, 1011, 5790, 34031, 289, 9620, 12911, 9, 19874, 322, 7622, 7282, 10108, 1728, 15465, 282, 49144, 18, 12151, 9, 19874, 6881, 16, 374, 28565, 478, 600, 2037, 4923, 3051, 12548, 470, 334, 8823, 294, 3507, 18, 30164, 16, 2410, 14377, 536, 34031, 12547, 1286, 9, 11673, 33814, 2155, 18, 3739, 15173, 9, 36379, 35447, 349, 502, 16, 374, 4770, 2145, 7832, 294, 4433, 4551, 478, 1369, 17925, 861, 2, 1, 87, 1456, 81, 2448, 30, 1140, 22552, 10794, 16, 374, 475, 32189, 785, 17, 1796, 8105, 3236, 16, 2438, 17939, 38314, 18, 740, 322, 475, 8105, 3236, 2156, 289, 40769, 18, 528, 5528, 381, 17147, 14561, 2793, 282, 8144, 764, 2410, 7885, 16, 2686, 282, 4722, 1205, 2438, 5416, 16, 374, 13013, 16, 4426, 19336, 8885, 277, 1175, 16, 18924, 289, 478, 1916, 501, 11142, 1018, 910, 9378, 294, 9747, 289, 14612, 309, 4190, 10342 ]
[ 35251, 18, 31224, 30, 30381, 289, 7482, 18890, 11220, 282, 8144, 1747, 13365, 2626, 2988, 9258, 2545, 25771, 16, 2988, 12793, 11738, 290, 2968, 289, 1120, 22027, 43444, 16207, 8292, 18, 15827, 396, 3328, 840, 5575, 14259, 2309, 16, 5917, 360, 9163, 14006, 16, 282, 4810, 7300, 3951, 904, 334, 30804, 10194, 34965, 2553, 18, 365, 2630, 281, 2184, 9307, 1247, 290, 970, 16, 1085, 289, 309, 4700, 4190, 1943, 2184, 6908, 35, 640, 7423, 475, 48975, 265, 2164, 802, 2566, 10294, 16, 428, 289, 26702, 334, 13663, 1433, 2422, 18, 12660, 13013, 895, 11364, 1920, 16, 374, 810, 426, 1349, 349, 1807, 3531, 15543, 289, 20495, 18, 4406, 520, 329, 1175, 289, 18924, 2678, 289, 5977, 603, 10588, 309, 1617, 7903, 5065, 44372, 35, 17246, 21591, 4451, 8895, 282, 8144, 2489, 286, 31, 10278, 802, 3142, 6152, 349, 17953, 274, 289, 12232, 3674, 16, 753, 6125, 3170, 1505, 2644, 541, 15974, 35848, 282, 3989, 18581, 12937, 18, 3771, 289, 22050, 49587, 2159, 22723, 31696, 16, 515, 8070, 520, 745, 39327, 8955, 309, 36425, 3017, 16, 5186, 275, 23284, 14381, 14412, 10931, 35, 889, 3872, 3023, 8630, 16, 515, 289, 7146, 475, 428, 912, 282, 3059, 2499, 399, 2798, 7310, 4096, 745, 1320, 322, 1698, 18, 34850, 6173, 16, 5977, 912, 16, 515, 1003, 3775, 18, 12626, 2609, 1812, 6029, 8940, 10784, 349, 2948, 16711, 10263, 289, 30255, 16, 1978, 743, 773, 4693, 309, 965, 19809, 35818, 8341, 349, 18172, 8144, 18, 2046, 6564, 329, 5364, 7597, 4263, 5416, 3670, 16, 374, 1747, 478, 42374, 642, 16930, 3961, 282, 46811, 8144, 1472, 1011, 924, 16, 428, 334, 26665, 1251, 13450, 3334, 36244, 11220, 38348, 36783, 564, 16, 11429, 448, 289, 11357, 48915, 3793, 16020, 34522, 309, 5137, 41934, 3405, 11498, 38632, 9085, 289, 6883, 14740, 571, 277, 306, 4044, 861, 365, 803, 4599, 19900, 1175, 289, 18924, 294, 31176, 24956, 1038, 3014, 8658, 424, 1247, 18, 1483, 806, 530, 520, 745, 19900, 26706, 506, 29290, 5474, 4868, 289, 15438, 282, 16634, 1595, 6548, 19833, 40102, 12776, 651, 12846, 36756, 20420, 10342, 16, 1795, 743, 2966, 1920, 557, 2381, 16, 9278, 536, 282, 41934, 3405, 11498, 16, 282, 5305, 5118, 281, 722, 3513, 1406, 289, 18512, 289, 867, 3818, 20131, 281, 15371, 23220, 979, 35251, 360, 2891, 35, 48336, 309, 1177, 1247, 1698, 687, 745, 2419, 16, 515, 16, 3848, 1223, 16, 329, 1129, 1003, 309, 1177, 2948, 13523, 12213, 18, 16003, 16, 374, 3771, 15419, 8969, 12501, 11341, 16, 515, 678, 895, 473, 13817, 481, 35950, 25838, 13, 20131, 289, 309, 502, 16, 753, 8969, 1403, 10723, 749, 35251, 309, 3227, 669, 2545, 12159, 17198, 36599, 18, 5043, 16, 9956, 334, 2222, 16, 5608, 5064, 7063, 7904, 8578, 8481, 521, 701, 9609, 282, 1888, 6160, 16, 678, 3848, 5029, 5131, 8881, 282, 8144, 9163, 47504, 14280, 17353, 2891, 424, 18583, 9444, 5169, 35251, 16, 1728, 834, 434, 5508, 837, 18, 10775, 873, 289, 18276, 11916, 925, 1617, 2644, 16, 515, 329, 1129, 895, 322, 9555, 16121, 1798, 11967, 541, 697, 18533, 18, 3510, 3038, 8527, 1519, 18172, 2553, 895, 45234, 17355, 6684, 5348, 16, 374, 34294, 299, 14311, 37706, 17790, 16, 961, 16, 428, 44259, 16, 18955, 16020, 44699, 282, 7044, 18, 2876, 26513, 4000, 33337, 282, 17147, 2793, 289, 47425, 396, 2514, 2422, 13048, 15974, 7234, 2553, 18, 1606, 10073, 13076, 16, 374, 9382, 15584, 2309, 282, 8144, 371, 835, 2431, 35251, 9634, 286, 289, 374, 2644, 16, 11916, 1453, 282, 41934, 3405, 11498, 16, 3147, 5638, 318, 18, 2046, 3771, 289, 22050, 7006, 520, 21005, 697, 36015, 18, 1606, 25156, 16, 374, 24575, 10342, 329, 2891, 35723, 478, 32278, 670, 2619, 470, 396, 2234, 2309, 13772, 360, 924, 16, 282, 4700, 40349, 840, 30351, 30804, 3732, 18172, 18, 6682, 924, 16, 8641, 41715, 549, 17959, 7597, 2471, 8093, 959, 731, 2535, 30, 9770, 9261, 2044, 2438, 6517, 7425, 16, 374, 5736, 373, 17126, 6029, 15974, 749, 29246, 8468, 7597, 18, 5043, 16, 935, 282, 1750, 9332, 7203, 14665, 44846, 27417, 10376, 2891, 282, 8144, 16, 505, 12761, 309, 11204, 42295, 281, 22299, 5925, 19744, 16, 961, 656, 764, 48283, 309, 17644, 23510, 1941, 9964, 478, 49017, 4890, 861, 45419, 303, 16, 2091, 16, 42514, 282, 36078, 16, 515, 13115, 289, 2388, 4903, 448, 26993, 16, 428, 21893, 3308, 478, 7122, 3245, 9322, 1612, 910, 21597, 659, 1712, 15867, 9404, 20171, 473, 10767, 697, 453, 942, 7818, 13, 2917, 10342, 289, 3960, 1047, 18, 1606, 2125, 953, 11680, 16, 374, 23284, 21219, 4486, 309, 18172, 4076, 473, 10767, 294, 1498, 42926, 21691, 13, 1966, 5700, 773, 1143, 32054, 16, 828, 17355, 2793, 18, 2046, 7865, 38485, 513, 6684, 45354, 4472, 712, 16, 29769, 6379, 309, 4829, 289, 16629, 292, 13450, 718, 5478, 16, 895, 322, 44464, 19215, 22300, 16, 2588, 8832, 3231, 27592, 11608, 334, 34965, 18, 1175, 289, 7412, 392, 1055, 374, 7885, 3696, 2666, 290, 25307, 282, 8144, 18, 26291, 895, 1103, 31451, 289, 9002, 649, 1271, 10699, 32189, 30, 282, 25363, 326, 636, 1251, 45203, 289, 6079, 15202, 488, 5364, 16, 309, 13078, 281, 7412, 635, 1251, 2145, 289, 45914, 16, 309, 4800, 31549, 16098, 2662, 1251, 7596, 36514, 289, 478, 1916, 501, 11142, 5499, 910, 367, 1038, 411, 17, 431, 9600, 37322, 2132, 280, 718, 3700, 309, 15934, 18, 2046, 282, 4190, 16, 785, 48007, 2793, 2438, 15371, 16, 1965, 322, 7885, 6622, 21394, 16523, 16, 1586, 8350, 1852, 2566, 5326, 322, 687, 282, 7423, 16, 515, 289, 282, 2968, 18, 1178, 745, 387, 43404, 3971, 16, 1029, 5343, 16643, 7597, 16, 367, 1717, 753, 26513, 4000, 289, 12892, 9537, 309, 965, 24552, 15974, 8144, 16, 502, 22050, 289, 3771, 2125, 1747, 14090, 22289, 16, 309, 961, 4660, 2625, 26513, 29591, 18, 5403, 966, 575, 16, 282, 1423, 3678, 16, 4128, 8940, 16, 1747, 520, 3459, 7050, 26945, 24488, 697, 14606, 3276, 27952, 16, 367, 1717, 35182, 20633, 323, 541, 1129, 30804, 1734, 8144, 18, 44486, 360, 17407, 16, 334, 40049, 16, 17650, 294, 3147, 7614, 14974, 12821, 651, 5074, 2675, 289, 31354, 617, 309, 6594, 16, 6469, 395, 17790, 289, 32129, 6448, 11504, 1562, 16, 322, 18392, 3775, 6273, 282, 2223, 19005, 18395, 16, 367, 1038, 4154, 10194, 3523, 21593, 1175, 16, 18924, 289, 478, 1916, 501, 11142, 1018, 470, 1624, 2486, 2950, 374, 18145, 289, 3895, 520, 840, 4332, 315, 329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35251, 18, 31224, 30, 30381, 289, 7482, 18890, 11220, 282, 8144, 1747, 13365, 2626, 2988, 9258, 2545, 25771, 16, 2988, 12793, 11738, 290, 2968, 289, 1120, 22027, 43444, 16207, 8292, 18, 15827, 396, 3328, 840, 5575, 14259, 2309, 16, 5917, 360, 9163, 14006, 16, 282, 4810, 7300, 3951, 904, 334, 30804, 10194, 34965, 2553, 18, 365, 2630, 281, 2184, 9307, 1247, 290, 970, 16, 1085, 289, 309, 4700, 4190, 1943, 2184, 6908, 35, 640, 7423, 475, 48975, 265, 2164, 802, 2566, 10294, 16, 428, 289, 26702, 334, 13663, 1433, 2422, 18, 12660, 13013, 895, 11364, 1920, 16, 374, 810, 426, 1349, 349, 1807, 3531, 15543, 289, 20495, 18, 4406, 520, 329, 1175, 289, 18924, 2678, 289, 5977, 603, 10588, 309, 1617, 7903, 5065, 44372, 35, 17246, 21591, 4451, 8895, 282, 8144, 2489, 286, 31, 10278, 802, 3142, 6152, 349, 17953, 274, 289, 12232, 3674, 16, 753, 6125, 3170, 1505, 2644, 541, 15974, 35848, 282, 3989, 18581, 12937, 18, 3771, 289, 22050, 49587, 2159, 22723, 31696, 16, 515, 8070, 520, 745, 39327, 8955, 309, 36425, 3017, 16, 5186, 275, 23284, 14381, 14412, 10931, 35, 889, 3872, 3023, 8630, 16, 515, 289, 7146, 475, 428, 912, 282, 3059, 2499, 399, 2798, 7310, 4096, 745, 1320, 322, 1698, 18, 34850, 6173, 16, 5977, 912, 16, 515, 1003, 3775, 18, 12626, 2609, 1812, 6029, 8940, 10784, 349, 2948, 16711, 10263, 289, 30255, 16, 1978, 743, 773, 4693, 309, 965, 19809, 35818, 8341, 349, 18172, 8144, 18, 2046, 6564, 329, 5364, 7597, 4263, 5416, 3670, 16, 374, 1747, 478, 42374, 642, 16930, 3961, 282, 46811, 8144, 1472, 1011, 924, 16, 428, 334, 26665, 1251, 13450, 3334, 36244, 11220, 38348, 36783, 564, 16, 11429, 448, 289, 11357, 48915, 3793, 16020, 34522, 309, 5137, 41934, 3405, 11498, 38632, 9085, 289, 6883, 14740, 571, 277, 306, 4044, 861, 365, 803, 4599, 19900, 1175, 289, 18924, 294, 31176, 24956, 1038, 3014, 8658, 424, 1247, 18, 1483, 806, 530, 520, 745, 19900, 26706, 506, 29290, 5474, 4868, 289, 15438, 282, 16634, 1595, 6548, 19833, 40102, 12776, 651, 12846, 36756, 20420, 10342, 16, 1795, 743, 2966, 1920, 557, 2381, 16, 9278, 536, 282, 41934, 3405, 11498, 16, 282, 5305, 5118, 281, 722, 3513, 1406, 289, 18512, 289, 867, 3818, 20131, 281, 15371, 23220, 979, 35251, 360, 2891, 35, 48336, 309, 1177, 1247, 1698, 687, 745, 2419, 16, 515, 16, 3848, 1223, 16, 329, 1129, 1003, 309, 1177, 2948, 13523, 12213, 18, 16003, 16, 374, 3771, 15419, 8969, 12501, 11341, 16, 515, 678, 895, 473, 13817, 481, 35950, 25838, 13, 20131, 289, 309, 502, 16, 753, 8969, 1403, 10723, 749, 35251, 309, 3227, 669, 2545, 12159, 17198, 36599, 18, 5043, 16, 9956, 334, 2222, 16, 5608, 5064, 7063, 7904, 8578, 8481, 521, 701, 9609, 282, 1888, 6160, 16, 678, 3848, 5029, 5131, 8881, 282, 8144, 9163, 47504, 14280, 17353, 2891, 424, 18583, 9444, 5169, 35251, 16, 1728, 834, 434, 5508, 837, 18, 10775, 873, 289, 18276, 11916, 925, 1617, 2644, 16, 515, 329, 1129, 895, 322, 9555, 16121, 1798, 11967, 541, 697, 18533, 18, 3510, 3038, 8527, 1519, 18172, 2553, 895, 45234, 17355, 6684, 5348, 16, 374, 34294, 299, 14311, 37706, 17790, 16, 961, 16, 428, 44259, 16, 18955, 16020, 44699, 282, 7044, 18, 2876, 26513, 4000, 33337, 282, 17147, 2793, 289, 47425, 396, 2514, 2422, 13048, 15974, 7234, 2553, 18, 1606, 10073, 13076, 16, 374, 9382, 15584, 2309, 282, 8144, 371, 835, 2431, 35251, 9634, 286, 289, 374, 2644, 16, 11916, 1453, 282, 41934, 3405, 11498, 16, 3147, 5638, 318, 18, 2046, 3771, 289, 22050, 7006, 520, 21005, 697, 36015, 18, 1606, 25156, 16, 374, 24575, 10342, 329, 2891, 35723, 478, 32278, 670, 2619, 470, 396, 2234, 2309, 13772, 360, 924, 16, 282, 4700, 40349, 840, 30351, 30804, 3732, 18172, 18, 6682, 924, 16, 8641, 41715, 549, 17959, 7597, 2471, 8093, 959, 731, 2535, 30, 9770, 9261, 2044, 2438, 6517, 7425, 16, 374, 5736, 373, 17126, 6029, 15974, 749, 29246, 8468, 7597, 18, 5043, 16, 935, 282, 1750, 9332, 7203, 14665, 44846, 27417, 10376, 2891, 282, 8144, 16, 505, 12761, 309, 11204, 42295, 281, 22299, 5925, 19744, 16, 961, 656, 764, 48283, 309, 17644, 23510, 1941, 9964, 478, 49017, 4890, 861, 45419, 303, 16, 2091, 16, 42514, 282, 36078, 16, 515, 13115, 289, 2388, 4903, 448, 26993, 16, 428, 21893, 3308, 478, 7122, 3245, 9322, 1612, 910, 21597, 659, 1712, 15867, 9404, 20171, 473, 10767, 697, 453, 942, 7818, 13, 2917, 10342, 289, 3960, 1047, 18, 1606, 2125, 953, 11680, 16, 374, 23284, 21219, 4486, 309, 18172, 4076, 473, 10767, 294, 1498, 42926, 21691, 13, 1966, 5700, 773, 1143, 32054, 16, 828, 17355, 2793, 18, 2046, 7865, 38485, 513, 6684, 45354, 4472, 712, 16, 29769, 6379, 309, 4829, 289, 16629, 292, 13450, 718, 5478, 16, 895, 322, 44464, 19215, 22300, 16, 2588, 8832, 3231, 27592, 11608, 334, 34965, 18, 1175, 289, 7412, 392, 1055, 374, 7885, 3696, 2666, 290, 25307, 282, 8144, 18, 26291, 895, 1103, 31451, 289, 9002, 649, 1271, 10699, 32189, 30, 282, 25363, 326, 636, 1251, 45203, 289, 6079, 15202, 488, 5364, 16, 309, 13078, 281, 7412, 635, 1251, 2145, 289, 45914, 16, 309, 4800, 31549, 16098, 2662, 1251, 7596, 36514, 289, 478, 1916, 501, 11142, 5499, 910, 367, 1038, 411, 17, 431, 9600, 37322, 2132, 280, 718, 3700, 309, 15934, 18, 2046, 282, 4190, 16, 785, 48007, 2793, 2438, 15371, 16, 1965, 322, 7885, 6622, 21394, 16523, 16, 1586, 8350, 1852, 2566, 5326, 322, 687, 282, 7423, 16, 515, 289, 282, 2968, 18, 1178, 745, 387, 43404, 3971, 16, 1029, 5343, 16643, 7597, 16, 367, 1717, 753, 26513, 4000, 289, 12892, 9537, 309, 965, 24552, 15974, 8144, 16, 502, 22050, 289, 3771, 2125, 1747, 14090, 22289, 16, 309, 961, 4660, 2625, 26513, 29591, 18, 5403, 966, 575, 16, 282, 1423, 3678, 16, 4128, 8940, 16, 1747, 520, 3459, 7050, 26945, 24488, 697, 14606, 3276, 27952, 16, 367, 1717, 35182, 20633, 323, 541, 1129, 30804, 1734, 8144, 18, 44486, 360, 17407, 16, 334, 40049, 16, 17650, 294, 3147, 7614, 14974, 12821, 651, 5074, 2675, 289, 31354, 617, 309, 6594, 16, 6469, 395, 17790, 289, 32129, 6448, 11504, 1562, 16, 322, 18392, 3775, 6273, 282, 2223, 19005, 18395, 16, 367, 1038, 4154, 10194, 3523, 21593, 1175, 16, 18924, 289, 478, 1916, 501, 11142, 1018, 470, 1624, 2486, 2950, 374, 18145, 289, 3895, 520, 840, 4332, 315, 329 ]
[ 9768, 18811, 2044, 18, 889, 322, 10793, 3971, 478, 431, 551, 1443, 470, 11220, 18, 9753, 510, 23569, 4696, 334, 17644, 3756, 19205, 272, 289, 12654, 23177, 16, 37167, 9350, 549, 4786, 16, 12189, 12672, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 1182, 263, 1633, 3384, 2117, 19671, 521, 19768, 12275, 16, 13190, 20202, 37811, 282, 8267, 281, 478, 983, 271, 4194, 864, 1683, 910, 289, 1373, 575, 45828, 2822, 764, 1176, 16, 322, 20147, 505, 10434, 10313, 1676, 8955, 289, 21398, 19802, 282, 44200, 26083, 360, 478, 31538, 29238, 861, 478, 1009, 2265, 4172, 470, 40900, 478, 1605, 551, 28376, 910, 2686, 334, 17, 6093, 3929, 7265, 6795, 2895, 496, 309, 5975, 520, 361, 1313, 14945, 1880, 1756, 18, 31224, 30, 11459, 478, 21037, 2274, 40227, 910, 537, 478, 31538, 29238, 470, 322, 7737, 20850, 1617, 8267, 8653, 13767, 7638, 17, 38915, 18, 15243, 873, 1642, 424, 12784, 13437, 281, 478, 983, 271, 4194, 864, 1683, 910, 367, 3871, 22624, 873, 282, 25857, 40900, 478, 1605, 551, 28376, 861, 6452, 447, 8653, 13767, 27408, 7638, 17, 38915, 2125, 898, 18894, 35154, 49565, 282, 3586, 290, 970, 16, 1085, 24687, 3303, 4367, 520, 361, 1313, 14945, 1880, 1756, 282, 44200, 26083, 289, 1085, 50234, 18904, 451, 42072, 334, 8872, 8900, 18, 11849, 978, 6295, 1472, 31785, 977, 18, 15243, 778, 478, 21037, 2274, 40227, 910, 26952, 13768, 16171, 309, 43958, 282, 3303, 454, 16, 1642, 26390, 281, 1977, 9946, 349, 47469, 478, 983, 271, 4194, 864, 1683, 861, 365, 19911, 304, 5271, 478, 301, 11415, 470, 309, 10133, 4223, 9805, 39914, 9810, 4104, 623, 6235, 1624, 282, 1078, 6548, 9680, 478, 1496, 347, 15943, 470, 8426, 9065, 22269, 4013, 7563, 282, 3800, 11350, 17, 915, 28772, 478, 789, 21163, 910, 478, 25626, 470, 289, 478, 26732, 884, 470, 22095, 17084, 11088, 43031, 32813, 18, 44146, 6332, 906, 289, 867, 16, 289, 4310, 16, 2686, 4765, 28009, 309, 24708, 4144, 1941, 18, 5043, 1492, 22664, 289, 38924, 18, 478, 21037, 2274, 40227, 470, 282, 7426, 2287, 21273, 282, 4447, 47192, 17060, 1472, 7406, 16, 3136, 367, 360, 478, 983, 271, 4194, 864, 332, 910, 42571, 309, 15592, 10580, 25421, 16, 9121, 16, 2504, 16797, 1633, 1873, 4466, 289, 322, 9281, 18, 365, 6031, 2615, 44368, 9271, 8382, 43374, 309, 478, 1140, 686, 266, 8474, 266, 586, 32069, 470, 1472, 36894, 339, 6550, 523, 581, 32250, 22232, 7646, 1279, 10095, 10689, 478, 301, 11415, 470, 5971, 2857, 504, 4013, 332, 18, 365, 3709, 411, 43194, 4250, 11570, 613, 282, 9438, 14212, 43031, 32813, 16, 2686, 5971, 1637, 2564, 15092, 10927, 18, 640, 2992, 44368, 282, 9536, 292, 3541, 322, 7451, 537, 4104, 623, 6235, 16, 537, 43031, 32813, 18, 3771, 5539, 27668, 439, 264, 1368, 586, 869, 268, 1624, 22095, 17084, 510, 6727, 2612, 13465, 390, 356, 18, 1665, 367, 5957, 4577, 309, 16439, 1165, 14084, 504, 4013, 271, 16, 2024, 478, 1496, 347, 312, 2986, 470, 3225, 17, 2767, 1146, 649, 18, 8859, 309, 4038, 281, 31105, 5971, 2857, 23009, 411, 4466, 5222, 478, 983, 271, 4194, 864, 332, 470, 289, 1176, 411, 7878, 12525, 20420, 8900, 567, 3025, 7638, 17, 326, 1484, 21141, 18026, 1624, 2024, 41445, 1373, 575, 22060, 641, 12831, 1855, 18, 385, 12831, 4783, 706, 16, 785, 309, 23308, 20537, 18026, 9031, 17794, 37811, 282, 8999, 17701, 510, 4134, 371, 48728, 37073, 346, 282, 1360, 36725, 4427, 17, 299, 10253, 29399, 874, 19209, 2667, 948, 356, 18, 2046, 19768, 611, 16, 10702, 3833, 10895, 10687, 36910, 16, 282, 9026, 22666, 4744, 2557, 13879, 3064, 5335, 12063, 478, 983, 271, 4194, 864, 332, 910, 14927, 274, 11216, 309, 1355, 28146, 18, 1665, 367, 502, 16, 374, 4243, 971, 942, 11709, 25640, 567, 475, 45908, 2910, 2257, 10376, 18, 15422, 696, 778, 47487, 478, 21037, 2274, 40595, 429, 470, 4223, 309, 4674, 1616, 360, 19002, 4629, 16, 2686, 10750, 1519, 11216, 322, 10587, 16, 20480, 6954, 505, 309, 4713, 18, 16566, 309, 424, 22339, 685, 528, 25496, 457, 4013, 12790, 17, 1182, 1123, 1477, 16, 309, 2024, 1373, 575, 42119, 19768, 611, 18, 2151, 10609, 320, 552, 1329, 322, 8477, 428, 33000, 282, 8999, 478, 301, 11415, 470, 764, 1176, 37811, 510, 2992, 349, 2710, 17, 299, 1421, 7130, 18, 18026, 726, 289, 322, 9170, 639, 17794, 16, 515, 349, 1498, 309, 45953, 11693, 4629, 10716, 6737, 29591, 16, 961, 14694, 12063, 294, 20164, 289, 7150, 21073, 505, 3424, 9718, 319, 10665, 18, 19768, 611, 12669, 282, 1500, 575, 6421, 16, 374, 289, 282, 2615, 445, 16, 367, 18026, 37103, 21852, 282, 8095, 451, 510, 478, 983, 271, 4194, 864, 271, 470, 6844, 2948, 18, 18026, 1833, 575, 12669, 294, 19424, 404, 281, 9888, 42463, 14497, 17983, 16, 47079, 1906, 7473, 502, 5815, 2127, 49286, 16, 502, 10721, 7839, 728, 7586, 309, 1360, 12544, 582, 18, 2046, 9901, 7646, 16, 1335, 25771, 11534, 2961, 669, 2339, 1617, 16171, 309, 47469, 16, 44420, 3389, 1467, 320, 277, 5944, 4342, 12513, 16, 309, 529, 25882, 845, 20537, 18112, 1612, 40921, 17192, 282, 13757, 883, 6421, 411, 17, 431, 40293, 36725, 3221, 465, 1779, 2948, 18, 999, 5270, 3116, 4436, 437, 29777, 3298, 597, 1879, 1329, 1143, 322, 4243, 30, 8679, 4966, 16157, 15270, 13437, 16, 367, 478, 301, 293, 4607, 470, 764, 289, 5971, 2857, 504, 4013, 332, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 21037, 2274, 40227, 470, 510, 478, 983, 271, 4194, 864, 271, 861, 3739, 29798, 4604, 2919, 4905, 282, 35107, 478, 1605, 551, 5097, 470, 289, 478, 31538, 29238, 861, 478, 732, 312, 1465, 470, 334, 20234, 14540, 9518, 726, 519, 7470, 1867, 16, 367, 1215, 478, 34519, 470, 38057, 281, 867, 575, 478, 21037, 2274, 40595, 4019, 470, 289, 7108, 34185, 743, 15259, 478, 49431, 864, 1080, 470, 349, 3303, 7529, 10839, 18, 2046, 19802, 478, 1615, 362, 363, 470, 360, 24083, 32737, 1011, 6236, 434, 7977, 322, 39826, 18, 8110, 862, 575, 541, 7646, 475, 1904, 30, 309, 4039, 20537, 528, 404, 312, 629, 274, 5649, 298, 1011, 10376, 40072, 11662, 560, 42530, 32386, 6421, 7889, 457, 4782, 768, 9698, 347, 18, 2046, 282, 9547, 7646, 322, 16701, 4688, 1851, 17, 299, 36803, 16, 3754, 16, 289, 478, 1605, 551, 2467, 470, 24935, 322, 3818, 12916, 2175, 18, 46954 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9768, 18811, 2044, 18, 889, 322, 10793, 3971, 478, 431, 551, 1443, 470, 11220, 18, 9753, 510, 23569, 4696, 334, 17644, 3756, 19205, 272, 289, 12654, 23177, 16, 37167, 9350, 549, 4786, 16, 12189, 12672, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 1182, 263, 1633, 3384, 2117, 19671, 521, 19768, 12275, 16, 13190, 20202, 37811, 282, 8267, 281, 478, 983, 271, 4194, 864, 1683, 910, 289, 1373, 575, 45828, 2822, 764, 1176, 16, 322, 20147, 505, 10434, 10313, 1676, 8955, 289, 21398, 19802, 282, 44200, 26083, 360, 478, 31538, 29238, 861, 478, 1009, 2265, 4172, 470, 40900, 478, 1605, 551, 28376, 910, 2686, 334, 17, 6093, 3929, 7265, 6795, 2895, 496, 309, 5975, 520, 361, 1313, 14945, 1880, 1756, 18, 31224, 30, 11459, 478, 21037, 2274, 40227, 910, 537, 478, 31538, 29238, 470, 322, 7737, 20850, 1617, 8267, 8653, 13767, 7638, 17, 38915, 18, 15243, 873, 1642, 424, 12784, 13437, 281, 478, 983, 271, 4194, 864, 1683, 910, 367, 3871, 22624, 873, 282, 25857, 40900, 478, 1605, 551, 28376, 861, 6452, 447, 8653, 13767, 27408, 7638, 17, 38915, 2125, 898, 18894, 35154, 49565, 282, 3586, 290, 970, 16, 1085, 24687, 3303, 4367, 520, 361, 1313, 14945, 1880, 1756, 282, 44200, 26083, 289, 1085, 50234, 18904, 451, 42072, 334, 8872, 8900, 18, 11849, 978, 6295, 1472, 31785, 977, 18, 15243, 778, 478, 21037, 2274, 40227, 910, 26952, 13768, 16171, 309, 43958, 282, 3303, 454, 16, 1642, 26390, 281, 1977, 9946, 349, 47469, 478, 983, 271, 4194, 864, 1683, 861, 365, 19911, 304, 5271, 478, 301, 11415, 470, 309, 10133, 4223, 9805, 39914, 9810, 4104, 623, 6235, 1624, 282, 1078, 6548, 9680, 478, 1496, 347, 15943, 470, 8426, 9065, 22269, 4013, 7563, 282, 3800, 11350, 17, 915, 28772, 478, 789, 21163, 910, 478, 25626, 470, 289, 478, 26732, 884, 470, 22095, 17084, 11088, 43031, 32813, 18, 44146, 6332, 906, 289, 867, 16, 289, 4310, 16, 2686, 4765, 28009, 309, 24708, 4144, 1941, 18, 5043, 1492, 22664, 289, 38924, 18, 478, 21037, 2274, 40227, 470, 282, 7426, 2287, 21273, 282, 4447, 47192, 17060, 1472, 7406, 16, 3136, 367, 360, 478, 983, 271, 4194, 864, 332, 910, 42571, 309, 15592, 10580, 25421, 16, 9121, 16, 2504, 16797, 1633, 1873, 4466, 289, 322, 9281, 18, 365, 6031, 2615, 44368, 9271, 8382, 43374, 309, 478, 1140, 686, 266, 8474, 266, 586, 32069, 470, 1472, 36894, 339, 6550, 523, 581, 32250, 22232, 7646, 1279, 10095, 10689, 478, 301, 11415, 470, 5971, 2857, 504, 4013, 332, 18, 365, 3709, 411, 43194, 4250, 11570, 613, 282, 9438, 14212, 43031, 32813, 16, 2686, 5971, 1637, 2564, 15092, 10927, 18, 640, 2992, 44368, 282, 9536, 292, 3541, 322, 7451, 537, 4104, 623, 6235, 16, 537, 43031, 32813, 18, 3771, 5539, 27668, 439, 264, 1368, 586, 869, 268, 1624, 22095, 17084, 510, 6727, 2612, 13465, 390, 356, 18, 1665, 367, 5957, 4577, 309, 16439, 1165, 14084, 504, 4013, 271, 16, 2024, 478, 1496, 347, 312, 2986, 470, 3225, 17, 2767, 1146, 649, 18, 8859, 309, 4038, 281, 31105, 5971, 2857, 23009, 411, 4466, 5222, 478, 983, 271, 4194, 864, 332, 470, 289, 1176, 411, 7878, 12525, 20420, 8900, 567, 3025, 7638, 17, 326, 1484, 21141, 18026, 1624, 2024, 41445, 1373, 575, 22060, 641, 12831, 1855, 18, 385, 12831, 4783, 706, 16, 785, 309, 23308, 20537, 18026, 9031, 17794, 37811, 282, 8999, 17701, 510, 4134, 371, 48728, 37073, 346, 282, 1360, 36725, 4427, 17, 299, 10253, 29399, 874, 19209, 2667, 948, 356, 18, 2046, 19768, 611, 16, 10702, 3833, 10895, 10687, 36910, 16, 282, 9026, 22666, 4744, 2557, 13879, 3064, 5335, 12063, 478, 983, 271, 4194, 864, 332, 910, 14927, 274, 11216, 309, 1355, 28146, 18, 1665, 367, 502, 16, 374, 4243, 971, 942, 11709, 25640, 567, 475, 45908, 2910, 2257, 10376, 18, 15422, 696, 778, 47487, 478, 21037, 2274, 40595, 429, 470, 4223, 309, 4674, 1616, 360, 19002, 4629, 16, 2686, 10750, 1519, 11216, 322, 10587, 16, 20480, 6954, 505, 309, 4713, 18, 16566, 309, 424, 22339, 685, 528, 25496, 457, 4013, 12790, 17, 1182, 1123, 1477, 16, 309, 2024, 1373, 575, 42119, 19768, 611, 18, 2151, 10609, 320, 552, 1329, 322, 8477, 428, 33000, 282, 8999, 478, 301, 11415, 470, 764, 1176, 37811, 510, 2992, 349, 2710, 17, 299, 1421, 7130, 18, 18026, 726, 289, 322, 9170, 639, 17794, 16, 515, 349, 1498, 309, 45953, 11693, 4629, 10716, 6737, 29591, 16, 961, 14694, 12063, 294, 20164, 289, 7150, 21073, 505, 3424, 9718, 319, 10665, 18, 19768, 611, 12669, 282, 1500, 575, 6421, 16, 374, 289, 282, 2615, 445, 16, 367, 18026, 37103, 21852, 282, 8095, 451, 510, 478, 983, 271, 4194, 864, 271, 470, 6844, 2948, 18, 18026, 1833, 575, 12669, 294, 19424, 404, 281, 9888, 42463, 14497, 17983, 16, 47079, 1906, 7473, 502, 5815, 2127, 49286, 16, 502, 10721, 7839, 728, 7586, 309, 1360, 12544, 582, 18, 2046, 9901, 7646, 16, 1335, 25771, 11534, 2961, 669, 2339, 1617, 16171, 309, 47469, 16, 44420, 3389, 1467, 320, 277, 5944, 4342, 12513, 16, 309, 529, 25882, 845, 20537, 18112, 1612, 40921, 17192, 282, 13757, 883, 6421, 411, 17, 431, 40293, 36725, 3221, 465, 1779, 2948, 18, 999, 5270, 3116, 4436, 437, 29777, 3298, 597, 1879, 1329, 1143, 322, 4243, 30, 8679, 4966, 16157, 15270, 13437, 16, 367, 478, 301, 293, 4607, 470, 764, 289, 5971, 2857, 504, 4013, 332, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 21037, 2274, 40227, 470, 510, 478, 983, 271, 4194, 864, 271, 861, 3739, 29798, 4604, 2919, 4905, 282, 35107, 478, 1605, 551, 5097, 470, 289, 478, 31538, 29238, 861, 478, 732, 312, 1465, 470, 334, 20234, 14540, 9518, 726, 519, 7470, 1867, 16, 367, 1215, 478, 34519, 470, 38057, 281, 867, 575, 478, 21037, 2274, 40595, 4019, 470, 289, 7108, 34185, 743, 15259, 478, 49431, 864, 1080, 470, 349, 3303, 7529, 10839, 18, 2046, 19802, 478, 1615, 362, 363, 470, 360, 24083, 32737, 1011, 6236, 434, 7977, 322, 39826, 18, 8110, 862, 575, 541, 7646, 475, 1904, 30, 309, 4039, 20537, 528, 404, 312, 629, 274, 5649, 298, 1011, 10376, 40072, 11662, 560, 42530, 32386, 6421, 7889, 457, 4782, 768, 9698, 347, 18, 2046, 282, 9547, 7646, 322, 16701, 4688, 1851, 17, 299, 36803, 16, 3754, 16, 289, 478, 1605, 551, 2467, 470, 24935, 322, 3818, 12916, 2175, 18, 46954 ]
[ 16, 374, 16722, 8213, 611, 1109, 2200, 21166, 3328, 282, 34979, 546, 16, 515, 567, 7422, 44056, 478, 265, 312, 1465, 470, 49587, 475, 16, 309, 374, 10432, 18, 385, 5690, 46396, 16432, 520, 551, 10595, 1275, 15747, 475, 1033, 40931, 16, 374, 322, 5736, 322, 7869, 294, 1763, 341, 825, 45796, 655, 367, 502, 289, 968, 6661, 18, 7909, 16708, 25236, 478, 1605, 551, 5097, 470, 11662, 4574, 3911, 14067, 1011, 17696, 1040, 7671, 13640, 2368, 1870, 5131, 323, 37103, 10167, 8474, 354, 1624, 1139, 322, 1210, 2822, 20163, 9227, 1423, 8616, 18, 1665, 367, 971, 20842, 297, 2327, 1496, 16, 1462, 5056, 34559, 2389, 322, 50077, 7216, 16, 17060, 15810, 516, 13375, 329, 21755, 289, 939, 26761, 17192, 1011, 11475, 507, 12959, 29830, 7323, 15044, 334, 1771, 1484, 14212, 11216, 282, 1793, 3675, 478, 5486, 530, 454, 861, 640, 5251, 2110, 19957, 289, 2992, 11216, 478, 34519, 470, 322, 497, 11054, 811, 16, 18866, 15270, 13437, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1605, 551, 2467, 470, 510, 478, 31538, 29238, 861, 365, 1888, 21273, 25883, 11178, 26726, 478, 1140, 265, 1709, 470, 289, 478, 41731, 768, 5830, 470, 37509, 751, 46414, 18, 478, 1098, 3653, 3646, 470, 29240, 48372, 281, 478, 618, 10868, 21867, 5499, 470, 473, 21, 30, 21, 934, 367, 478, 277, 3273, 3642, 873, 470, 510, 281, 478, 983, 271, 4194, 3418, 547, 470, 473, 21, 30, 21, 814, 478, 23739, 868, 16929, 470, 282, 25857, 50253, 478, 49988, 2467, 470, 473, 22, 30, 21, 934, 367, 478, 27296, 343, 499, 470, 1642, 19121, 310, 478, 983, 1395, 3841, 36494, 470, 473, 22, 30, 21, 814, 11333, 7036, 7638, 17, 38915, 16, 14378, 18389, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 9460, 18, 2, 1, 87, 1456, 81, 2448, 30, 8936, 6545, 4434, 12414, 2435, 334, 6619, 290, 45630, 34815, 5649, 17, 3114, 24, 424, 15667, 1212, 2458, 9966, 8653, 17, 361, 10881, 37652, 15462, 289, 9966, 45423, 265, 16, 282, 1754, 25660, 706, 4951, 16786, 6413, 18, 4149, 16684, 519, 3437, 986, 17703, 8124, 18, 31224, 30, 563, 4673, 14383, 11875, 1949, 37652, 6684, 16, 961, 12219, 4434, 12414, 2435, 334, 6619, 290, 45630, 4770, 718, 5649, 17, 3114, 24, 424, 15667, 1212, 18, 48340, 427, 282, 16508, 9205, 5375, 17979, 19335, 11103, 2626, 39003, 3033, 472, 1206, 441, 554, 2086, 1690, 278, 2818, 16, 31891, 12640, 47050, 6965, 18904, 451, 8653, 17, 295, 14161, 37652, 15462, 18, 5315, 7409, 17627, 5367, 510, 9966, 45423, 265, 478, 552, 3562, 470, 31407, 5002, 299, 301, 385, 2211, 5671, 2696, 7996, 4951, 25172, 48328, 18, 459, 4111, 17627, 4486, 12946, 14415, 1234, 93, 18796, 71, 16358, 3828, 8851, 30599, 8653, 17, 361, 10881, 39357, 355, 2970, 404, 2882, 18, 817, 5931, 282, 22208, 282, 12335, 4479, 779, 289, 8802, 7777, 282, 16294, 18, 3397, 492, 1623, 11675, 496, 2086, 1690, 278, 718, 18, 478, 672, 32002, 16, 11823, 3499, 16, 10948, 322, 15546, 289, 322, 25133, 847, 910, 510, 1109, 492, 18, 824, 3163, 23394, 16, 14267, 9600, 3118, 6539, 467, 11205, 38913, 8424, 290, 32942, 19349, 18, 2970, 404, 2882, 17029, 505, 478, 660, 13288, 18583, 910, 19569, 17963, 282, 1169, 322, 36366, 18, 415, 970, 16, 374, 282, 2463, 290, 45630, 5649, 17, 3114, 24, 424, 15667, 1212, 7134, 5487, 17627, 4851, 411, 47050, 9104, 18904, 434, 10881, 16, 10552, 2815, 5854, 38913, 8312, 17981, 2101, 1690, 4048, 36230, 18, 33736, 492, 12707, 9473, 18, 740, 3665, 16, 374, 537, 2086, 1690, 278, 778, 16, 537, 31407, 385, 18, 322, 898, 39895, 670, 28384, 289, 6535, 309, 21431, 18, 6592, 12197, 554, 9362, 9246, 1552, 15500, 602, 675, 9880, 8367, 16, 2086, 1690, 278, 778, 22014, 2452, 15574, 4770, 718, 5649, 17, 3114, 24, 289, 505, 19900, 294, 474, 6629, 282, 15667, 328, 18, 1681, 42617, 385, 18, 575, 16, 334, 12197, 554, 9880, 8367, 16, 322, 29408, 25603, 622, 15574, 18, 5161, 16, 8338, 5075, 2946, 687, 9966, 15574, 13512, 488, 897, 1483, 354, 7271, 273, 18, 2949, 924, 16, 428, 3014, 411, 29471, 16, 282, 5049, 1045, 3333, 20320, 18904, 434, 8653, 17, 361, 10881, 15462, 15500, 12357, 282, 16294, 18, 365, 3198, 3655, 2452, 3711, 15730, 282, 1228, 6237, 16, 367, 19068, 478, 375, 39378, 933, 12094, 470, 282, 22208, 322, 639, 18, 48278, 925, 16129, 289, 6203, 1166, 37987, 7305, 3244, 281, 31780, 45047, 30, 697, 39002, 16985, 4502, 3645, 9444, 428, 478, 812, 295, 2636, 10064, 861, 42748, 3244, 2950, 11979, 887, 16, 289, 282, 6031, 282, 30989, 19348, 5042, 16, 374, 27691, 36315, 17139, 16, 10308, 4833, 2161, 1676, 6413, 282, 17521, 4190, 16, 986, 4921, 5684, 28647, 18, 478, 630, 614, 2444, 16, 282, 1119, 13631, 18351, 322, 5195, 1097, 5708, 11493, 294, 33403, 8728, 368, 282, 3106, 13799, 10601, 5649, 17, 3114, 24, 910, 510, 41274, 4110, 7534, 1133, 8876, 18, 24397, 9959, 322, 639, 289, 329, 6740, 26282, 16, 1029, 1038, 322, 13382, 282, 11979, 10903, 474, 13021, 18, 12962, 272, 2926, 47368, 7305, 3244, 6745, 322, 3118, 18, 365, 30989, 8377, 802, 289, 12638, 8739, 18, 2333, 41475, 16, 374, 1717, 1698, 282, 7207, 282, 16789, 19336, 16, 15320, 322, 1559, 16, 4437, 6954, 16, 374, 3957, 27855, 14914, 6208, 14160, 18, 365, 30989, 15771, 1007, 7482, 16, 6042, 1527, 294, 19524, 16, 367, 322, 9080, 19349, 16, 9299, 2970, 404, 2882, 18, 824, 505, 3163, 16, 9080, 428, 445, 289, 10412, 12369, 11998, 536, 36587, 18, 2086, 1690, 278, 2818, 289, 39003, 3033, 385, 2211, 5923, 11606, 17693, 50, 5493, 16, 16684, 519, 3437, 986, 17703, 8124, 18, 8653, 17, 295, 18904, 451, 14161, 1011, 29471, 9880, 8367, 685, 47050, 1390, 18, 365, 1119, 16, 785, 11205, 685, 25105, 11646, 16, 282, 16294, 7777, 8099, 7225, 40439, 10051, 292, 18, 9967, 7638, 17, 13522, 36176, 5649, 328, 10218, 16, 374, 15369, 5252, 18065, 9362, 9526, 7225, 289, 2511, 39519, 18, 4541, 4770, 15500, 504, 7543, 5680, 2333, 3690, 778, 2815, 16, 374, 7534, 1162, 10169, 840, 31921, 8087, 18, 824, 505, 3163, 16, 1011, 699, 10606, 680, 19349, 678, 2756, 21045, 478, 960, 285, 2009, 4612, 289, 22140, 861, 2, 1, 87, 1456, 81, 2448, 30, 2176, 17842 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 374, 16722, 8213, 611, 1109, 2200, 21166, 3328, 282, 34979, 546, 16, 515, 567, 7422, 44056, 478, 265, 312, 1465, 470, 49587, 475, 16, 309, 374, 10432, 18, 385, 5690, 46396, 16432, 520, 551, 10595, 1275, 15747, 475, 1033, 40931, 16, 374, 322, 5736, 322, 7869, 294, 1763, 341, 825, 45796, 655, 367, 502, 289, 968, 6661, 18, 7909, 16708, 25236, 478, 1605, 551, 5097, 470, 11662, 4574, 3911, 14067, 1011, 17696, 1040, 7671, 13640, 2368, 1870, 5131, 323, 37103, 10167, 8474, 354, 1624, 1139, 322, 1210, 2822, 20163, 9227, 1423, 8616, 18, 1665, 367, 971, 20842, 297, 2327, 1496, 16, 1462, 5056, 34559, 2389, 322, 50077, 7216, 16, 17060, 15810, 516, 13375, 329, 21755, 289, 939, 26761, 17192, 1011, 11475, 507, 12959, 29830, 7323, 15044, 334, 1771, 1484, 14212, 11216, 282, 1793, 3675, 478, 5486, 530, 454, 861, 640, 5251, 2110, 19957, 289, 2992, 11216, 478, 34519, 470, 322, 497, 11054, 811, 16, 18866, 15270, 13437, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 1605, 551, 2467, 470, 510, 478, 31538, 29238, 861, 365, 1888, 21273, 25883, 11178, 26726, 478, 1140, 265, 1709, 470, 289, 478, 41731, 768, 5830, 470, 37509, 751, 46414, 18, 478, 1098, 3653, 3646, 470, 29240, 48372, 281, 478, 618, 10868, 21867, 5499, 470, 473, 21, 30, 21, 934, 367, 478, 277, 3273, 3642, 873, 470, 510, 281, 478, 983, 271, 4194, 3418, 547, 470, 473, 21, 30, 21, 814, 478, 23739, 868, 16929, 470, 282, 25857, 50253, 478, 49988, 2467, 470, 473, 22, 30, 21, 934, 367, 478, 27296, 343, 499, 470, 1642, 19121, 310, 478, 983, 1395, 3841, 36494, 470, 473, 22, 30, 21, 814, 11333, 7036, 7638, 17, 38915, 16, 14378, 18389, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 9460, 18, 2, 1, 87, 1456, 81, 2448, 30, 8936, 6545, 4434, 12414, 2435, 334, 6619, 290, 45630, 34815, 5649, 17, 3114, 24, 424, 15667, 1212, 2458, 9966, 8653, 17, 361, 10881, 37652, 15462, 289, 9966, 45423, 265, 16, 282, 1754, 25660, 706, 4951, 16786, 6413, 18, 4149, 16684, 519, 3437, 986, 17703, 8124, 18, 31224, 30, 563, 4673, 14383, 11875, 1949, 37652, 6684, 16, 961, 12219, 4434, 12414, 2435, 334, 6619, 290, 45630, 4770, 718, 5649, 17, 3114, 24, 424, 15667, 1212, 18, 48340, 427, 282, 16508, 9205, 5375, 17979, 19335, 11103, 2626, 39003, 3033, 472, 1206, 441, 554, 2086, 1690, 278, 2818, 16, 31891, 12640, 47050, 6965, 18904, 451, 8653, 17, 295, 14161, 37652, 15462, 18, 5315, 7409, 17627, 5367, 510, 9966, 45423, 265, 478, 552, 3562, 470, 31407, 5002, 299, 301, 385, 2211, 5671, 2696, 7996, 4951, 25172, 48328, 18, 459, 4111, 17627, 4486, 12946, 14415, 1234, 93, 18796, 71, 16358, 3828, 8851, 30599, 8653, 17, 361, 10881, 39357, 355, 2970, 404, 2882, 18, 817, 5931, 282, 22208, 282, 12335, 4479, 779, 289, 8802, 7777, 282, 16294, 18, 3397, 492, 1623, 11675, 496, 2086, 1690, 278, 718, 18, 478, 672, 32002, 16, 11823, 3499, 16, 10948, 322, 15546, 289, 322, 25133, 847, 910, 510, 1109, 492, 18, 824, 3163, 23394, 16, 14267, 9600, 3118, 6539, 467, 11205, 38913, 8424, 290, 32942, 19349, 18, 2970, 404, 2882, 17029, 505, 478, 660, 13288, 18583, 910, 19569, 17963, 282, 1169, 322, 36366, 18, 415, 970, 16, 374, 282, 2463, 290, 45630, 5649, 17, 3114, 24, 424, 15667, 1212, 7134, 5487, 17627, 4851, 411, 47050, 9104, 18904, 434, 10881, 16, 10552, 2815, 5854, 38913, 8312, 17981, 2101, 1690, 4048, 36230, 18, 33736, 492, 12707, 9473, 18, 740, 3665, 16, 374, 537, 2086, 1690, 278, 778, 16, 537, 31407, 385, 18, 322, 898, 39895, 670, 28384, 289, 6535, 309, 21431, 18, 6592, 12197, 554, 9362, 9246, 1552, 15500, 602, 675, 9880, 8367, 16, 2086, 1690, 278, 778, 22014, 2452, 15574, 4770, 718, 5649, 17, 3114, 24, 289, 505, 19900, 294, 474, 6629, 282, 15667, 328, 18, 1681, 42617, 385, 18, 575, 16, 334, 12197, 554, 9880, 8367, 16, 322, 29408, 25603, 622, 15574, 18, 5161, 16, 8338, 5075, 2946, 687, 9966, 15574, 13512, 488, 897, 1483, 354, 7271, 273, 18, 2949, 924, 16, 428, 3014, 411, 29471, 16, 282, 5049, 1045, 3333, 20320, 18904, 434, 8653, 17, 361, 10881, 15462, 15500, 12357, 282, 16294, 18, 365, 3198, 3655, 2452, 3711, 15730, 282, 1228, 6237, 16, 367, 19068, 478, 375, 39378, 933, 12094, 470, 282, 22208, 322, 639, 18, 48278, 925, 16129, 289, 6203, 1166, 37987, 7305, 3244, 281, 31780, 45047, 30, 697, 39002, 16985, 4502, 3645, 9444, 428, 478, 812, 295, 2636, 10064, 861, 42748, 3244, 2950, 11979, 887, 16, 289, 282, 6031, 282, 30989, 19348, 5042, 16, 374, 27691, 36315, 17139, 16, 10308, 4833, 2161, 1676, 6413, 282, 17521, 4190, 16, 986, 4921, 5684, 28647, 18, 478, 630, 614, 2444, 16, 282, 1119, 13631, 18351, 322, 5195, 1097, 5708, 11493, 294, 33403, 8728, 368, 282, 3106, 13799, 10601, 5649, 17, 3114, 24, 910, 510, 41274, 4110, 7534, 1133, 8876, 18, 24397, 9959, 322, 639, 289, 329, 6740, 26282, 16, 1029, 1038, 322, 13382, 282, 11979, 10903, 474, 13021, 18, 12962, 272, 2926, 47368, 7305, 3244, 6745, 322, 3118, 18, 365, 30989, 8377, 802, 289, 12638, 8739, 18, 2333, 41475, 16, 374, 1717, 1698, 282, 7207, 282, 16789, 19336, 16, 15320, 322, 1559, 16, 4437, 6954, 16, 374, 3957, 27855, 14914, 6208, 14160, 18, 365, 30989, 15771, 1007, 7482, 16, 6042, 1527, 294, 19524, 16, 367, 322, 9080, 19349, 16, 9299, 2970, 404, 2882, 18, 824, 505, 3163, 16, 9080, 428, 445, 289, 10412, 12369, 11998, 536, 36587, 18, 2086, 1690, 278, 2818, 289, 39003, 3033, 385, 2211, 5923, 11606, 17693, 50, 5493, 16, 16684, 519, 3437, 986, 17703, 8124, 18, 8653, 17, 295, 18904, 451, 14161, 1011, 29471, 9880, 8367, 685, 47050, 1390, 18, 365, 1119, 16, 785, 11205, 685, 25105, 11646, 16, 282, 16294, 7777, 8099, 7225, 40439, 10051, 292, 18, 9967, 7638, 17, 13522, 36176, 5649, 328, 10218, 16, 374, 15369, 5252, 18065, 9362, 9526, 7225, 289, 2511, 39519, 18, 4541, 4770, 15500, 504, 7543, 5680, 2333, 3690, 778, 2815, 16, 374, 7534, 1162, 10169, 840, 31921, 8087, 18, 824, 505, 3163, 16, 1011, 699, 10606, 680, 19349, 678, 2756, 21045, 478, 960, 285, 2009, 4612, 289, 22140, 861, 2, 1, 87, 1456, 81, 2448, 30, 2176, 17842 ]
[ 17, 295, 15449, 377, 13496, 3808, 286, 268, 962, 3771, 47473, 478, 13002, 7855, 10580, 861, 996, 7291, 4871, 29197, 1347, 7179, 26343, 853, 18505, 528, 932, 507, 289, 15781, 12097, 22715, 1262, 21363, 16, 43229, 2024, 12935, 282, 44315, 5319, 18, 31224, 30, 684, 13858, 26409, 3808, 286, 268, 962, 282, 38089, 7183, 7832, 334, 17, 21599, 18, 1178, 9794, 49572, 1519, 1033, 670, 2619, 5988, 448, 12213, 16, 502, 42264, 1421, 9360, 9044, 18, 22238, 6881, 16, 374, 3808, 286, 268, 962, 651, 481, 7866, 564, 16, 374, 17, 299, 33457, 31266, 15189, 31, 2393, 15962, 16, 374, 481, 14763, 3412, 23781, 343, 48984, 9395, 31, 42694, 575, 25156, 16, 374, 2397, 1756, 41002, 2837, 26370, 17, 22649, 16, 34622, 647, 13101, 1357, 541, 12991, 18, 5093, 10672, 16, 475, 1421, 13551, 32567, 13711, 24286, 18, 2124, 4516, 315, 541, 1175, 2944, 8252, 15764, 1247, 16, 33810, 3300, 722, 8465, 18, 11339, 16, 282, 29433, 808, 16, 1379, 28022, 26343, 356, 20680, 4502, 2195, 282, 3106, 11587, 434, 653, 8366, 10600, 20141, 5319, 18, 439, 971, 13487, 10651, 5064, 10417, 542, 18, 2787, 656, 14966, 2919, 294, 16889, 7715, 478, 6838, 700, 10830, 29197, 2632, 470, 289, 10063, 22829, 309, 15291, 3430, 622, 16, 502, 10073, 6348, 1595, 32995, 32706, 16, 502, 6972, 887, 282, 31265, 11265, 45414, 300, 615, 18, 41917, 292, 9567, 483, 322, 3585, 18215, 18, 981, 453, 520, 1588, 745, 289, 6453, 35, 12725, 334, 23587, 4096, 16, 475, 17, 2767, 6453, 18, 45006, 1186, 9764, 1715, 44384, 16, 515, 939, 5425, 18, 10311, 275, 3732, 2222, 21283, 651, 3260, 309, 4119, 29197, 1347, 18505, 528, 932, 507, 1624, 9798, 3662, 19753, 33662, 289, 3872, 14818, 282, 10830, 30000, 3020, 2373, 15078, 18, 640, 1047, 7199, 22829, 1845, 13766, 403, 12275, 3583, 1624, 3655, 25776, 7179, 26343, 853, 18, 439, 528, 932, 267, 16, 282, 1423, 3678, 16, 3404, 22829, 309, 15781, 12097, 22715, 1262, 21363, 18, 459, 1833, 2438, 6218, 16, 374, 603, 348, 1076, 414, 17, 2767, 21460, 553, 18, 5257, 374, 49844, 22715, 1262, 21363, 3113, 668, 13765, 1531, 9976, 4385, 16, 581, 289, 309, 10579, 478, 267, 342, 8200, 434, 11809, 470, 492, 1320, 322, 22863, 18, 17057, 262, 13829, 282, 41303, 30000, 18, 9570, 492, 1176, 411, 27132, 7269, 19476, 16, 294, 4106, 35134, 1893, 2354, 4650, 549, 26370, 17, 1859, 10723, 18, 4944, 22715, 1262, 22009, 473, 1369, 850, 436, 8546, 15761, 3141, 13, 3872, 7556, 47291, 965, 309, 24682, 456, 43920, 13411, 282, 2849, 349, 793, 289, 2742, 46863, 18, 5585, 553, 505, 3463, 478, 21664, 792, 6676, 3193, 910, 2966, 4490, 282, 5953, 443, 5737, 17, 263, 3142, 16, 9311, 567, 29757, 442, 298, 2922, 264, 2376, 16, 282, 970, 2875, 42513, 18, 25967, 1979, 22715, 1262, 21363, 309, 4119, 28757, 12370, 4111, 473, 5899, 476, 656, 3757, 26134, 282, 38089, 3191, 448, 15119, 281, 14986, 47065, 13, 6411, 16, 3848, 1223, 16, 374, 3771, 46314, 610, 455, 334, 2394, 395, 18, 21855, 1223, 48158, 1133, 16130, 17, 960, 1811, 545, 3788, 1717, 30477, 7951, 277, 18, 3747, 23363, 4302, 16, 8507, 18, 985, 8060, 1465, 3973, 309, 3781, 17, 19858, 44072, 5319, 8973, 10674, 5085, 291, 3715, 478, 6161, 19357, 478, 49932, 346, 49303, 910, 2862, 656, 34447, 18, 1178, 322, 19357, 16, 502, 4521, 322, 40900, 861, 17076, 478, 13002, 7855, 10580, 470, 11009, 3781, 17, 19858, 381, 13007, 414, 4618, 47812, 6173, 473, 10004, 16866, 20297, 294, 2222, 575, 934, 374, 708, 287, 1374, 31823, 30, 745, 25493, 21833, 18, 3647, 282, 1375, 1528, 34046, 2504, 322, 20565, 21509, 5559, 18, 28026, 315, 639, 290, 3084, 1949, 45913, 1406, 2276, 300, 8239, 16, 290, 970, 16, 374, 840, 25208, 28992, 31265, 23992, 16, 374, 13320, 840, 37030, 30338, 281, 14679, 651, 3136, 289, 475, 16, 8647, 18, 3647, 2500, 7322, 16, 2006, 2089, 10927, 282, 3569, 9297, 464, 15684, 13920, 2206, 18, 528, 932, 267, 2928, 16295, 47812, 27241, 4869, 670, 18408, 709, 349, 18639, 2389, 473, 275, 4810, 16, 14268, 16674, 47992, 43920, 13411, 1467, 18895, 2503, 2839, 2142, 354, 290, 970, 16, 374, 478, 39990, 539, 13325, 6640, 411, 2276, 300, 379, 1437, 289, 1841, 1136, 35478, 1437, 11523, 9829, 1312, 423, 2873, 1624, 18191, 1815, 349, 33458, 5296, 26343, 853, 16, 25495, 24414, 43748, 16, 374, 31641, 1143, 322, 31521, 473, 13817, 2900, 1139, 953, 322, 895, 30, 1269, 986, 42803, 16, 367, 1441, 2471, 1003, 814, 1845, 13766, 403, 12275, 3583, 14612, 27853, 16, 10674, 5085, 291, 20935, 21526, 12635, 10116, 2022, 18, 18674, 16, 1511, 9383, 469, 1674, 1183, 18, 5452, 3595, 18009, 27075, 290, 21110, 5375, 17229, 1698, 12340, 1472, 518, 16, 1085, 24510, 309, 11526, 845, 18860, 12097, 22715, 1262, 21363, 282, 32533, 21095, 12152, 7541, 16, 670, 764, 518, 16, 1085, 282, 10209, 10660, 14182, 637, 290, 3416, 528, 932, 507, 289, 290, 31493, 22715, 1262, 21363, 18, 26514, 2950, 18, 3249, 953, 16, 374, 17, 299, 20085, 9496, 282, 12335, 16, 785, 282, 3507, 8192, 2964, 6809, 748, 16, 30015, 428, 445, 7933, 7404, 48158, 2818, 1857, 272, 18, 5093, 14889, 16, 374, 7814, 497, 323, 8367, 651, 7653, 26640, 18, 19613, 38870, 349, 3338, 18, 439, 349, 2616, 764, 35, 2, 1, 87, 1456, 81, 2448, 30, 16443, 355, 40519, 289, 4944, 34858, 32813, 16, 32471, 1527, 282, 7343, 11035, 2287, 12994, 16, 322, 18187, 478, 25769, 1208, 2843, 470, 7631, 360, 14248, 282, 9547, 281, 478, 23739, 17, 5853, 14712, 262, 861, 13461, 9058, 267, 470, 19625, 19311, 411, 7518, 46512, 18, 31224, 30, 471, 23739, 17, 5853, 14712, 262, 385, 872, 267, 470, 50253, 478, 25769, 1208, 5255, 10648, 3418, 2594, 271, 19051, 470, 282, 39566, 8267, 282, 4301, 32671, 7561, 42361, 477, 12932, 40051, 30, 12979, 473, 5493, 30, 6568, 16, 5741, 30, 6894, 16, 3703, 30, 6568, 16, 4039, 30, 3420, 814, 24295, 39914, 478, 1102, 523, 470, 4944, 34858, 32813, 7609, 309, 14597, 9817, 7130, 16, 2581, 7678, 1658, 46414, 16, 2287, 424, 612, 2661, 16, 20318, 1871, 1619, 6676, 10376, 16, 1421, 12807, 354, 289, 1176, 4781, 17, 301, 370, 18, 19280, 17, 43469, 13461, 9058, 267, 510, 403, 3431, 16929, 11083, 433, 23682, 510, 48082, 30, 17404, 15376, 16929, 457, 27715, 271, 13028, 4013, 15599, 267, 510, 415, 2561, 292, 3372, 17, 34519, 9226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 295, 15449, 377, 13496, 3808, 286, 268, 962, 3771, 47473, 478, 13002, 7855, 10580, 861, 996, 7291, 4871, 29197, 1347, 7179, 26343, 853, 18505, 528, 932, 507, 289, 15781, 12097, 22715, 1262, 21363, 16, 43229, 2024, 12935, 282, 44315, 5319, 18, 31224, 30, 684, 13858, 26409, 3808, 286, 268, 962, 282, 38089, 7183, 7832, 334, 17, 21599, 18, 1178, 9794, 49572, 1519, 1033, 670, 2619, 5988, 448, 12213, 16, 502, 42264, 1421, 9360, 9044, 18, 22238, 6881, 16, 374, 3808, 286, 268, 962, 651, 481, 7866, 564, 16, 374, 17, 299, 33457, 31266, 15189, 31, 2393, 15962, 16, 374, 481, 14763, 3412, 23781, 343, 48984, 9395, 31, 42694, 575, 25156, 16, 374, 2397, 1756, 41002, 2837, 26370, 17, 22649, 16, 34622, 647, 13101, 1357, 541, 12991, 18, 5093, 10672, 16, 475, 1421, 13551, 32567, 13711, 24286, 18, 2124, 4516, 315, 541, 1175, 2944, 8252, 15764, 1247, 16, 33810, 3300, 722, 8465, 18, 11339, 16, 282, 29433, 808, 16, 1379, 28022, 26343, 356, 20680, 4502, 2195, 282, 3106, 11587, 434, 653, 8366, 10600, 20141, 5319, 18, 439, 971, 13487, 10651, 5064, 10417, 542, 18, 2787, 656, 14966, 2919, 294, 16889, 7715, 478, 6838, 700, 10830, 29197, 2632, 470, 289, 10063, 22829, 309, 15291, 3430, 622, 16, 502, 10073, 6348, 1595, 32995, 32706, 16, 502, 6972, 887, 282, 31265, 11265, 45414, 300, 615, 18, 41917, 292, 9567, 483, 322, 3585, 18215, 18, 981, 453, 520, 1588, 745, 289, 6453, 35, 12725, 334, 23587, 4096, 16, 475, 17, 2767, 6453, 18, 45006, 1186, 9764, 1715, 44384, 16, 515, 939, 5425, 18, 10311, 275, 3732, 2222, 21283, 651, 3260, 309, 4119, 29197, 1347, 18505, 528, 932, 507, 1624, 9798, 3662, 19753, 33662, 289, 3872, 14818, 282, 10830, 30000, 3020, 2373, 15078, 18, 640, 1047, 7199, 22829, 1845, 13766, 403, 12275, 3583, 1624, 3655, 25776, 7179, 26343, 853, 18, 439, 528, 932, 267, 16, 282, 1423, 3678, 16, 3404, 22829, 309, 15781, 12097, 22715, 1262, 21363, 18, 459, 1833, 2438, 6218, 16, 374, 603, 348, 1076, 414, 17, 2767, 21460, 553, 18, 5257, 374, 49844, 22715, 1262, 21363, 3113, 668, 13765, 1531, 9976, 4385, 16, 581, 289, 309, 10579, 478, 267, 342, 8200, 434, 11809, 470, 492, 1320, 322, 22863, 18, 17057, 262, 13829, 282, 41303, 30000, 18, 9570, 492, 1176, 411, 27132, 7269, 19476, 16, 294, 4106, 35134, 1893, 2354, 4650, 549, 26370, 17, 1859, 10723, 18, 4944, 22715, 1262, 22009, 473, 1369, 850, 436, 8546, 15761, 3141, 13, 3872, 7556, 47291, 965, 309, 24682, 456, 43920, 13411, 282, 2849, 349, 793, 289, 2742, 46863, 18, 5585, 553, 505, 3463, 478, 21664, 792, 6676, 3193, 910, 2966, 4490, 282, 5953, 443, 5737, 17, 263, 3142, 16, 9311, 567, 29757, 442, 298, 2922, 264, 2376, 16, 282, 970, 2875, 42513, 18, 25967, 1979, 22715, 1262, 21363, 309, 4119, 28757, 12370, 4111, 473, 5899, 476, 656, 3757, 26134, 282, 38089, 3191, 448, 15119, 281, 14986, 47065, 13, 6411, 16, 3848, 1223, 16, 374, 3771, 46314, 610, 455, 334, 2394, 395, 18, 21855, 1223, 48158, 1133, 16130, 17, 960, 1811, 545, 3788, 1717, 30477, 7951, 277, 18, 3747, 23363, 4302, 16, 8507, 18, 985, 8060, 1465, 3973, 309, 3781, 17, 19858, 44072, 5319, 8973, 10674, 5085, 291, 3715, 478, 6161, 19357, 478, 49932, 346, 49303, 910, 2862, 656, 34447, 18, 1178, 322, 19357, 16, 502, 4521, 322, 40900, 861, 17076, 478, 13002, 7855, 10580, 470, 11009, 3781, 17, 19858, 381, 13007, 414, 4618, 47812, 6173, 473, 10004, 16866, 20297, 294, 2222, 575, 934, 374, 708, 287, 1374, 31823, 30, 745, 25493, 21833, 18, 3647, 282, 1375, 1528, 34046, 2504, 322, 20565, 21509, 5559, 18, 28026, 315, 639, 290, 3084, 1949, 45913, 1406, 2276, 300, 8239, 16, 290, 970, 16, 374, 840, 25208, 28992, 31265, 23992, 16, 374, 13320, 840, 37030, 30338, 281, 14679, 651, 3136, 289, 475, 16, 8647, 18, 3647, 2500, 7322, 16, 2006, 2089, 10927, 282, 3569, 9297, 464, 15684, 13920, 2206, 18, 528, 932, 267, 2928, 16295, 47812, 27241, 4869, 670, 18408, 709, 349, 18639, 2389, 473, 275, 4810, 16, 14268, 16674, 47992, 43920, 13411, 1467, 18895, 2503, 2839, 2142, 354, 290, 970, 16, 374, 478, 39990, 539, 13325, 6640, 411, 2276, 300, 379, 1437, 289, 1841, 1136, 35478, 1437, 11523, 9829, 1312, 423, 2873, 1624, 18191, 1815, 349, 33458, 5296, 26343, 853, 16, 25495, 24414, 43748, 16, 374, 31641, 1143, 322, 31521, 473, 13817, 2900, 1139, 953, 322, 895, 30, 1269, 986, 42803, 16, 367, 1441, 2471, 1003, 814, 1845, 13766, 403, 12275, 3583, 14612, 27853, 16, 10674, 5085, 291, 20935, 21526, 12635, 10116, 2022, 18, 18674, 16, 1511, 9383, 469, 1674, 1183, 18, 5452, 3595, 18009, 27075, 290, 21110, 5375, 17229, 1698, 12340, 1472, 518, 16, 1085, 24510, 309, 11526, 845, 18860, 12097, 22715, 1262, 21363, 282, 32533, 21095, 12152, 7541, 16, 670, 764, 518, 16, 1085, 282, 10209, 10660, 14182, 637, 290, 3416, 528, 932, 507, 289, 290, 31493, 22715, 1262, 21363, 18, 26514, 2950, 18, 3249, 953, 16, 374, 17, 299, 20085, 9496, 282, 12335, 16, 785, 282, 3507, 8192, 2964, 6809, 748, 16, 30015, 428, 445, 7933, 7404, 48158, 2818, 1857, 272, 18, 5093, 14889, 16, 374, 7814, 497, 323, 8367, 651, 7653, 26640, 18, 19613, 38870, 349, 3338, 18, 439, 349, 2616, 764, 35, 2, 1, 87, 1456, 81, 2448, 30, 16443, 355, 40519, 289, 4944, 34858, 32813, 16, 32471, 1527, 282, 7343, 11035, 2287, 12994, 16, 322, 18187, 478, 25769, 1208, 2843, 470, 7631, 360, 14248, 282, 9547, 281, 478, 23739, 17, 5853, 14712, 262, 861, 13461, 9058, 267, 470, 19625, 19311, 411, 7518, 46512, 18, 31224, 30, 471, 23739, 17, 5853, 14712, 262, 385, 872, 267, 470, 50253, 478, 25769, 1208, 5255, 10648, 3418, 2594, 271, 19051, 470, 282, 39566, 8267, 282, 4301, 32671, 7561, 42361, 477, 12932, 40051, 30, 12979, 473, 5493, 30, 6568, 16, 5741, 30, 6894, 16, 3703, 30, 6568, 16, 4039, 30, 3420, 814, 24295, 39914, 478, 1102, 523, 470, 4944, 34858, 32813, 7609, 309, 14597, 9817, 7130, 16, 2581, 7678, 1658, 46414, 16, 2287, 424, 612, 2661, 16, 20318, 1871, 1619, 6676, 10376, 16, 1421, 12807, 354, 289, 1176, 4781, 17, 301, 370, 18, 19280, 17, 43469, 13461, 9058, 267, 510, 403, 3431, 16929, 11083, 433, 23682, 510, 48082, 30, 17404, 15376, 16929, 457, 27715, 271, 13028, 4013, 15599, 267, 510, 415, 2561, 292, 3372, 17, 34519, 9226 ]
[ 868, 510, 26593, 30, 17133, 23217, 551, 640, 24618, 305, 267, 510, 4800, 2895, 1845, 4013, 266, 24934, 312, 350, 288, 510, 44781, 30, 47113, 35050, 1452, 2387, 267, 510, 1540, 488, 2334, 378, 4013, 3045, 267, 510, 30137, 30, 13944, 478, 6039, 1343, 25737, 18042, 874, 16, 510, 5923, 505, 1694, 24599, 786, 5652, 8118, 18, 510, 740, 1299, 2955, 4823, 481, 282, 2398, 18, 8589, 1139, 10846, 6281, 18, 24563, 939, 16089, 11274, 368, 7561, 861, 2320, 14674, 1392, 742, 289, 19753, 27869, 6096, 40519, 349, 2706, 1879, 2581, 811, 5512, 46414, 16, 36950, 3012, 4334, 16, 5512, 12807, 2389, 289, 4781, 17, 301, 8988, 18, 12280, 8097, 16, 374, 282, 1335, 9155, 478, 25769, 1208, 4970, 470, 2036, 44104, 749, 8300, 17799, 44133, 439, 2429, 5687, 16, 1029, 322, 6721, 1360, 10434, 764, 282, 3709, 8267, 651, 1279, 478, 822, 300, 42596, 910, 3110, 969, 36806, 444, 21212, 18, 3758, 18, 15712, 285, 726, 25521, 1421, 5790, 1360, 4966, 411, 17, 431, 8037, 8880, 18, 12280, 8097, 16, 374, 424, 9444, 31137, 1321, 439, 2429, 5687, 22343, 12814, 3850, 3216, 2564, 9422, 687, 2059, 9764, 18, 3557, 5547, 478, 25769, 1208, 4970, 470, 38739, 294, 9565, 1433, 20194, 281, 40318, 1307, 1353, 3663, 34439, 26658, 14256, 8262, 339, 16, 3110, 24599, 786, 5652, 8118, 18, 4518, 17, 7745, 20113, 16355, 285, 7609, 1272, 8900, 282, 42361, 282, 478, 14237, 5353, 426, 470, 473, 21027, 443, 18777, 934, 367, 1314, 13309, 349, 478, 677, 15764, 5133, 861, 478, 15821, 382, 470, 424, 10578, 487, 12735, 281, 14256, 8262, 339, 16, 785, 282, 11946, 9293, 1349, 1533, 17, 22044, 451, 11389, 281, 26110, 620, 46102, 1486, 3663, 18, 478, 40176, 9058, 267, 470, 3210, 17, 299, 5352, 29822, 1634, 15116, 42519, 16, 9072, 14242, 19311, 411, 7518, 46512, 18, 1681, 34004, 2507, 7757, 478, 684, 3431, 16929, 910, 1029, 21528, 3064, 1472, 567, 2992, 23523, 18, 40787, 668, 17802, 309, 8955, 21166, 2497, 4809, 343, 302, 11, 5853, 14712, 6547, 282, 19911, 304, 11274, 582, 16, 282, 2114, 8740, 2919, 360, 21755, 309, 2123, 12994, 18, 439, 12376, 11693, 745, 34447, 281, 445, 5793, 282, 10384, 12994, 18, 37540, 478, 40176, 9058, 267, 470, 403, 16892, 18357, 2128, 18462, 3703, 26654, 16, 367, 505, 14674, 1392, 742, 8583, 686, 266, 768, 48890, 2581, 811, 581, 7839, 17, 347, 296, 1683, 510, 3405, 15, 3940, 8533, 291, 18, 365, 1423, 3678, 16, 478, 822, 286, 551, 910, 1029, 282, 6940, 445, 322, 29497, 3195, 7179, 17353, 346, 11090, 29656, 421, 22705, 401, 1624, 50253, 478, 21837, 2895, 1845, 4013, 266, 470, 282, 39566, 8267, 477, 12932, 44781, 30, 47113, 473, 6462, 30, 4691, 16, 2706, 30, 6894, 16, 4055, 30, 7536, 16, 10608, 30, 2692, 814, 25021, 890, 45074, 289, 478, 630, 2561, 292, 3372, 910, 1684, 25474, 1712, 282, 25857, 478, 45065, 16929, 861, 6735, 1757, 329, 24621, 685, 42255, 12653, 13389, 1624, 32471, 1510, 11114, 26654, 18, 365, 502, 575, 808, 4055, 12994, 2776, 277, 804, 34415, 17716, 478, 27296, 17, 8415, 454, 470, 8955, 1195, 478, 27296, 17, 17810, 426, 8676, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 630, 326, 4640, 292, 7550, 41165, 778, 8566, 20449, 282, 32712, 2665, 9001, 18334, 718, 478, 15886, 1102, 304, 19899, 23087, 861, 3791, 18974, 22065, 478, 21, 15, 21, 470, 2815, 16, 374, 8768, 17182, 478, 275, 9433, 292, 18334, 933, 861, 31224, 30, 14745, 10502, 6842, 868, 7550, 41165, 778, 2815, 16, 374, 20449, 282, 32712, 2553, 9001, 18334, 718, 942, 7818, 478, 15886, 1102, 304, 19899, 23087, 861, 7905, 33498, 22065, 478, 21, 15, 21, 910, 281, 3279, 7556, 5188, 2358, 11338, 503, 16, 26003, 21161, 505, 282, 7337, 28312, 478, 26627, 17, 818, 17, 440, 861, 478, 11227, 703, 18334, 778, 510, 481, 322, 5645, 21143, 16, 481, 15696, 6492, 18, 7651, 1102, 19899, 23087, 18, 6980, 17182, 322, 282, 3709, 18334, 1212, 16, 367, 282, 9433, 292, 18334, 933, 910, 510, 4725, 41165, 778, 18, 967, 803, 583, 11338, 503, 282, 3217, 575, 27561, 41847, 14450, 290, 10582, 763, 19589, 3792, 505, 6574, 2087, 18, 478, 6706, 17, 7329, 16, 481, 43395, 18, 629, 34457, 322, 43683, 282, 4082, 41165, 718, 18, 1303, 656, 1188, 9449, 38578, 510, 8887, 502, 1135, 16, 8887, 502, 19589, 292, 670, 36802, 17635, 18, 1178, 1085, 17, 299, 374, 17, 299, 38689, 289, 481, 44418, 11998, 758, 17456, 1624, 1177, 1135, 4816, 9078, 18, 7858, 1329, 38030, 322, 840, 910, 510, 4725, 18334, 778, 18, 20405, 16, 374, 38699, 478, 684, 1353, 3090, 19779, 910, 47215, 9631, 2922, 16, 1623, 2921, 15224, 8214, 7919, 11338, 16, 27997, 20728, 309, 9577, 962, 19589, 890, 30, 481, 478, 25719, 8142, 564, 46389, 910, 478, 49999, 883, 20981, 910, 478, 789, 35036, 477, 40877, 910, 478, 46438, 482, 460, 571, 3245, 910, 478, 10393, 486, 22873, 470, 289, 2393, 18, 6592, 3761, 28546, 16, 41165, 778, 497, 356, 440, 2712, 16249, 9001, 18334, 718, 289, 1614, 14976, 32652, 541, 6143, 24786, 7410, 2665, 27423, 9344, 18, 4756, 9128, 21993, 6897, 23277, 45930, 289, 7225, 2553, 7974, 528, 1076, 11812, 2815, 16, 374, 7190, 12183, 41165, 718, 6925, 10531, 18307, 766, 1279, 30490, 4830, 18, 528, 1076, 11812, 5273, 16, 374, 14781, 290, 22005, 282, 23740, 416, 12893, 2665, 16, 2486, 11116, 282, 5792, 282, 2343, 3750, 16, 18662, 687, 773, 18, 478, 5798, 7801, 1542, 749, 13711, 7870, 289, 37163, 549, 5825, 16, 502, 475, 47883, 12183, 510, 417, 1202, 7803, 505, 3040, 5620, 41165, 718, 16, 988, 912, 289, 18334, 778, 16, 289, 32652, 510, 4732, 2089, 28673, 4898, 3633, 18, 889, 685, 5335, 322, 334, 784, 16, 367, 5335, 334, 21935, 2665, 910, 510, 1109, 528, 1076, 11812, 18, 13699, 873, 3221, 3457, 7174, 11817, 282, 32712, 2665, 11338, 4111, 281, 18813, 2145, 17357, 17, 47942, 5521, 16, 16062, 3347, 16459, 433, 3663, 8048, 1709, 304, 1624, 1029, 1038, 5053, 282, 13354, 411, 11338, 17, 296, 46685, 18, 640, 481, 36229, 8851, 19713, 2145, 282, 4862, 289, 6187, 41581, 718, 16986, 18840, 6507, 7067, 6260, 768, 1991, 285, 18, 824, 505, 3163, 16, 8048, 1709, 685, 25059, 928, 282, 13354, 289, 4419, 18, 478, 3001, 685, 34727, 282, 30292, 416, 12384, 281, 22385, 30983, 32738, 567, 808 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 868, 510, 26593, 30, 17133, 23217, 551, 640, 24618, 305, 267, 510, 4800, 2895, 1845, 4013, 266, 24934, 312, 350, 288, 510, 44781, 30, 47113, 35050, 1452, 2387, 267, 510, 1540, 488, 2334, 378, 4013, 3045, 267, 510, 30137, 30, 13944, 478, 6039, 1343, 25737, 18042, 874, 16, 510, 5923, 505, 1694, 24599, 786, 5652, 8118, 18, 510, 740, 1299, 2955, 4823, 481, 282, 2398, 18, 8589, 1139, 10846, 6281, 18, 24563, 939, 16089, 11274, 368, 7561, 861, 2320, 14674, 1392, 742, 289, 19753, 27869, 6096, 40519, 349, 2706, 1879, 2581, 811, 5512, 46414, 16, 36950, 3012, 4334, 16, 5512, 12807, 2389, 289, 4781, 17, 301, 8988, 18, 12280, 8097, 16, 374, 282, 1335, 9155, 478, 25769, 1208, 4970, 470, 2036, 44104, 749, 8300, 17799, 44133, 439, 2429, 5687, 16, 1029, 322, 6721, 1360, 10434, 764, 282, 3709, 8267, 651, 1279, 478, 822, 300, 42596, 910, 3110, 969, 36806, 444, 21212, 18, 3758, 18, 15712, 285, 726, 25521, 1421, 5790, 1360, 4966, 411, 17, 431, 8037, 8880, 18, 12280, 8097, 16, 374, 424, 9444, 31137, 1321, 439, 2429, 5687, 22343, 12814, 3850, 3216, 2564, 9422, 687, 2059, 9764, 18, 3557, 5547, 478, 25769, 1208, 4970, 470, 38739, 294, 9565, 1433, 20194, 281, 40318, 1307, 1353, 3663, 34439, 26658, 14256, 8262, 339, 16, 3110, 24599, 786, 5652, 8118, 18, 4518, 17, 7745, 20113, 16355, 285, 7609, 1272, 8900, 282, 42361, 282, 478, 14237, 5353, 426, 470, 473, 21027, 443, 18777, 934, 367, 1314, 13309, 349, 478, 677, 15764, 5133, 861, 478, 15821, 382, 470, 424, 10578, 487, 12735, 281, 14256, 8262, 339, 16, 785, 282, 11946, 9293, 1349, 1533, 17, 22044, 451, 11389, 281, 26110, 620, 46102, 1486, 3663, 18, 478, 40176, 9058, 267, 470, 3210, 17, 299, 5352, 29822, 1634, 15116, 42519, 16, 9072, 14242, 19311, 411, 7518, 46512, 18, 1681, 34004, 2507, 7757, 478, 684, 3431, 16929, 910, 1029, 21528, 3064, 1472, 567, 2992, 23523, 18, 40787, 668, 17802, 309, 8955, 21166, 2497, 4809, 343, 302, 11, 5853, 14712, 6547, 282, 19911, 304, 11274, 582, 16, 282, 2114, 8740, 2919, 360, 21755, 309, 2123, 12994, 18, 439, 12376, 11693, 745, 34447, 281, 445, 5793, 282, 10384, 12994, 18, 37540, 478, 40176, 9058, 267, 470, 403, 16892, 18357, 2128, 18462, 3703, 26654, 16, 367, 505, 14674, 1392, 742, 8583, 686, 266, 768, 48890, 2581, 811, 581, 7839, 17, 347, 296, 1683, 510, 3405, 15, 3940, 8533, 291, 18, 365, 1423, 3678, 16, 478, 822, 286, 551, 910, 1029, 282, 6940, 445, 322, 29497, 3195, 7179, 17353, 346, 11090, 29656, 421, 22705, 401, 1624, 50253, 478, 21837, 2895, 1845, 4013, 266, 470, 282, 39566, 8267, 477, 12932, 44781, 30, 47113, 473, 6462, 30, 4691, 16, 2706, 30, 6894, 16, 4055, 30, 7536, 16, 10608, 30, 2692, 814, 25021, 890, 45074, 289, 478, 630, 2561, 292, 3372, 910, 1684, 25474, 1712, 282, 25857, 478, 45065, 16929, 861, 6735, 1757, 329, 24621, 685, 42255, 12653, 13389, 1624, 32471, 1510, 11114, 26654, 18, 365, 502, 575, 808, 4055, 12994, 2776, 277, 804, 34415, 17716, 478, 27296, 17, 8415, 454, 470, 8955, 1195, 478, 27296, 17, 17810, 426, 8676, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 630, 326, 4640, 292, 7550, 41165, 778, 8566, 20449, 282, 32712, 2665, 9001, 18334, 718, 478, 15886, 1102, 304, 19899, 23087, 861, 3791, 18974, 22065, 478, 21, 15, 21, 470, 2815, 16, 374, 8768, 17182, 478, 275, 9433, 292, 18334, 933, 861, 31224, 30, 14745, 10502, 6842, 868, 7550, 41165, 778, 2815, 16, 374, 20449, 282, 32712, 2553, 9001, 18334, 718, 942, 7818, 478, 15886, 1102, 304, 19899, 23087, 861, 7905, 33498, 22065, 478, 21, 15, 21, 910, 281, 3279, 7556, 5188, 2358, 11338, 503, 16, 26003, 21161, 505, 282, 7337, 28312, 478, 26627, 17, 818, 17, 440, 861, 478, 11227, 703, 18334, 778, 510, 481, 322, 5645, 21143, 16, 481, 15696, 6492, 18, 7651, 1102, 19899, 23087, 18, 6980, 17182, 322, 282, 3709, 18334, 1212, 16, 367, 282, 9433, 292, 18334, 933, 910, 510, 4725, 41165, 778, 18, 967, 803, 583, 11338, 503, 282, 3217, 575, 27561, 41847, 14450, 290, 10582, 763, 19589, 3792, 505, 6574, 2087, 18, 478, 6706, 17, 7329, 16, 481, 43395, 18, 629, 34457, 322, 43683, 282, 4082, 41165, 718, 18, 1303, 656, 1188, 9449, 38578, 510, 8887, 502, 1135, 16, 8887, 502, 19589, 292, 670, 36802, 17635, 18, 1178, 1085, 17, 299, 374, 17, 299, 38689, 289, 481, 44418, 11998, 758, 17456, 1624, 1177, 1135, 4816, 9078, 18, 7858, 1329, 38030, 322, 840, 910, 510, 4725, 18334, 778, 18, 20405, 16, 374, 38699, 478, 684, 1353, 3090, 19779, 910, 47215, 9631, 2922, 16, 1623, 2921, 15224, 8214, 7919, 11338, 16, 27997, 20728, 309, 9577, 962, 19589, 890, 30, 481, 478, 25719, 8142, 564, 46389, 910, 478, 49999, 883, 20981, 910, 478, 789, 35036, 477, 40877, 910, 478, 46438, 482, 460, 571, 3245, 910, 478, 10393, 486, 22873, 470, 289, 2393, 18, 6592, 3761, 28546, 16, 41165, 778, 497, 356, 440, 2712, 16249, 9001, 18334, 718, 289, 1614, 14976, 32652, 541, 6143, 24786, 7410, 2665, 27423, 9344, 18, 4756, 9128, 21993, 6897, 23277, 45930, 289, 7225, 2553, 7974, 528, 1076, 11812, 2815, 16, 374, 7190, 12183, 41165, 718, 6925, 10531, 18307, 766, 1279, 30490, 4830, 18, 528, 1076, 11812, 5273, 16, 374, 14781, 290, 22005, 282, 23740, 416, 12893, 2665, 16, 2486, 11116, 282, 5792, 282, 2343, 3750, 16, 18662, 687, 773, 18, 478, 5798, 7801, 1542, 749, 13711, 7870, 289, 37163, 549, 5825, 16, 502, 475, 47883, 12183, 510, 417, 1202, 7803, 505, 3040, 5620, 41165, 718, 16, 988, 912, 289, 18334, 778, 16, 289, 32652, 510, 4732, 2089, 28673, 4898, 3633, 18, 889, 685, 5335, 322, 334, 784, 16, 367, 5335, 334, 21935, 2665, 910, 510, 1109, 528, 1076, 11812, 18, 13699, 873, 3221, 3457, 7174, 11817, 282, 32712, 2665, 11338, 4111, 281, 18813, 2145, 17357, 17, 47942, 5521, 16, 16062, 3347, 16459, 433, 3663, 8048, 1709, 304, 1624, 1029, 1038, 5053, 282, 13354, 411, 11338, 17, 296, 46685, 18, 640, 481, 36229, 8851, 19713, 2145, 282, 4862, 289, 6187, 41581, 718, 16986, 18840, 6507, 7067, 6260, 768, 1991, 285, 18, 824, 505, 3163, 16, 8048, 1709, 685, 25059, 928, 282, 13354, 289, 4419, 18, 478, 3001, 685, 34727, 282, 30292, 416, 12384, 281, 22385, 30983, 32738, 567, 808 ]
[ 10485, 4048, 3509, 345, 18, 889, 639, 541, 1047, 13842, 13071, 18, 403, 2222, 575, 492, 685, 39493, 34232, 18, 817, 685, 45207, 3079, 635, 16, 1904, 7649, 706, 282, 25784, 1624, 1830, 505, 22140, 1655, 5780, 16, 374, 492, 19514, 47523, 286, 18, 4663, 2955, 27162, 510, 8048, 14730, 289, 18334, 718, 910, 510, 4725, 768, 1991, 285, 18, 17135, 11338, 4111, 5915, 4195, 798, 5854, 2016, 10035, 4623, 478, 46130, 470, 11658, 727, 1394, 356, 18, 1253, 25824, 21385, 18334, 718, 744, 818, 6425, 16, 13025, 44875, 448, 19786, 18, 478, 1140, 26694, 8434, 978, 10116, 354, 510, 481, 34885, 744, 5442, 291, 282, 4008, 18, 996, 309, 10296, 656, 34564, 697, 590, 6573, 510, 289, 481, 5641, 910, 510, 18585, 678, 282, 469, 40484, 18, 4756, 18334, 778, 4848, 290, 3043, 4840, 30970, 9991, 15297, 282, 15347, 21359, 16, 282, 2114, 11009, 16248, 478, 684, 1353, 3090, 19779, 470, 14083, 42236, 541, 3741, 25087, 18, 365, 17130, 22065, 478, 21, 15, 21, 470, 32290, 24500, 16, 374, 24382, 38321, 3623, 2665, 29926, 505, 26288, 510, 289, 481, 40465, 34156, 541, 478, 1567, 8032, 2150, 861, 45429, 503, 5692, 16, 374, 505, 28296, 31308, 282, 28787, 1805, 289, 40087, 549, 1783, 354, 1612, 6814, 9759, 21746, 18, 824, 3761, 8508, 29836, 11758, 12213, 381, 5066, 8434, 16249, 282, 32712, 2665, 16, 40907, 11385, 14040, 14120, 478, 41342, 7851, 470, 281, 667, 334, 4039, 3750, 16, 309, 2992, 3676, 10144, 4830, 2665, 6795, 35412, 1421, 20449, 18, 640, 5572, 2468, 11623, 3419, 11338, 503, 18334, 778, 16, 349, 2024, 6354, 16738, 1086, 2123, 9, 360, 1209, 36379, 41618, 16, 349, 1498, 37859, 35677, 4770, 7753, 9344, 473, 3572, 16, 23, 18314, 289, 5222, 4623, 478, 983, 2237, 49758, 7037, 470, 19518, 32652, 473, 3572, 21956, 385, 6175, 17420, 18334, 1703, 290, 3177, 18995, 282, 10296, 505, 16414, 22401, 10450, 18, 45429, 503, 519, 4319, 1326, 5702, 12181, 38345, 16, 16118, 5040, 8434, 567, 1209, 12202, 412, 3080, 292, 17045, 1760, 5999, 49849, 4830, 2665, 18222, 5741, 3990, 26155, 779, 18, 999, 3059, 15465, 2553, 1747, 11203, 13908, 20449, 16, 374, 2438, 15513, 536, 14978, 541, 4000, 18, 2, 1, 87, 1456, 81, 2448, 30, 12145, 5039, 2674, 451, 19505, 382, 12144, 309, 8537, 16, 381, 803, 3828, 4945, 30692, 9774, 505, 5703, 11662, 1246, 269, 1845, 19609, 913, 282, 3177, 584, 419, 844, 482, 18, 365, 14545, 15016, 5626, 9778, 29608, 12817, 432, 28654, 16, 334, 505, 4734, 16, 481, 3560, 26063, 2083, 16, 753, 7631, 18, 2320, 14703, 334, 41032, 47764, 3502, 460, 936, 478, 684, 6992, 491, 470, 282, 481, 322, 24182, 18, 31224, 30, 21837, 27153, 778, 9778, 289, 20295, 11662, 1246, 269, 1845, 19609, 913, 3828, 282, 3177, 584, 419, 844, 482, 16, 374, 396, 3935, 477, 2200, 37534, 2509, 7951, 4449, 510, 19505, 382, 28618, 612, 264, 16, 6065, 536, 773, 13323, 779, 2158, 18, 5585, 842, 21949, 14545, 6839, 5626, 16, 282, 2114, 29608, 15364, 1223, 2422, 349, 5318, 294, 505, 6632, 317, 1960, 306, 18, 478, 1358, 3027, 32568, 1209, 2917, 16, 1992, 3084, 2309, 349, 502, 16, 374, 745, 7650, 282, 1617, 6786, 19505, 382, 309, 1033, 828, 4317, 986, 18, 889, 906, 3476, 49196, 21942, 4653, 510, 4417, 2678, 6125, 289, 6281, 978, 2599, 13928, 27734, 18, 459, 1830, 481, 18428, 1211, 784, 3978, 16, 294, 6095, 16, 475, 7312, 289, 20366, 18, 629, 6540, 1304, 16, 19958, 289, 14285, 4915, 1749, 16, 289, 3240, 4719, 6839, 282, 970, 16, 374, 19505, 382, 2002, 322, 26479, 16, 1548, 374, 492, 7118, 282, 1304, 910, 510, 6463, 11662, 1246, 269, 18, 3791, 9778, 8494, 294, 22004, 1528, 18377, 1394, 12147, 347, 392, 1624, 2417, 6954, 3326, 4119, 439, 660, 36528, 6260, 5044, 16, 5794, 2803, 19505, 382, 28618, 612, 264, 16, 9798, 4027, 23928, 435, 6315, 347, 282, 12884, 2604, 779, 478, 684, 6992, 30, 43898, 485, 19505, 382, 861, 478, 4441, 3560, 26063, 2083, 16, 753, 7631, 16, 1548, 374, 3476, 5517, 19139, 324, 18, 13797, 1147, 6046, 954, 15364, 1943, 1283, 506, 2697, 3655, 2309, 18, 967, 1773, 8248, 3678, 14316, 2089, 3871, 6298, 910, 510, 18789, 1845, 19609, 913, 18, 365, 17130, 11338, 478, 23355, 1526, 7949, 16, 21898, 542, 470, 9778, 450, 13426, 586, 13278, 297, 987, 473, 32467, 14467, 361, 13, 289, 505, 4889, 17, 1013, 268, 28848, 16388, 38090, 1079, 392, 473, 28259, 755, 14467, 361, 13, 13202, 4110, 8348, 1845, 19609, 913, 18, 478, 1358, 6388, 381, 803, 3255, 18, 629, 322, 12236, 282, 481, 16, 515, 16962, 910, 510, 1109, 586, 13278, 297, 987, 18, 38090, 1079, 392, 7214, 281, 1498, 16, 334, 505, 4734, 16, 329, 1845, 19609, 913, 840, 764, 428, 8396, 4119, 17, 343, 482, 262, 18, 478, 1358, 1320, 453, 3684, 18, 3249, 953, 16, 840, 11931, 4119, 18, 608, 6613, 910, 510, 24500, 28848, 16388, 18, 31748, 10913, 11441, 478, 684, 6992, 491, 470, 11981, 309, 10933, 38500, 1533, 3612, 26155, 779, 16, 1655, 428, 33551, 23383, 12935, 3695, 4120, 16642, 779, 18, 365, 5214, 30841, 510, 35335, 439, 660, 10119, 6315, 280, 473, 21357, 7515, 504, 18, 48558, 934, 1029, 9414, 42171, 1519, 1251, 520, 6150, 15442, 353, 289, 38275, 294, 7933, 7404, 12496, 454, 16, 1029, 1943, 1852, 3818, 6097, 43131, 282, 505, 1354, 18, 44840, 3173, 309, 1702, 268, 1484, 47011, 1324, 2607, 281, 26669, 16, 1029, 16258, 14736, 281, 26557, 5169, 6315, 347, 18, 47009, 2674, 451, 19505, 382, 28618, 612, 264, 334, 17, 6093, 6450, 2712, 439, 660, 36528, 16, 1974, 773, 10412, 34468, 281, 697, 18583, 5015, 3593, 16, 3670, 16, 349, 374, 2353, 11203, 16, 289, 29084, 16, 374, 1003, 1329, 19079, 5169, 18, 1845, 19609, 913, 1858, 322, 687, 9635, 2022, 1089, 19505, 382, 28618, 612, 264, 16, 515, 289, 12679, 282, 3106, 7459, 8126, 289, 19279, 16275, 281, 931, 20490, 18, 41143, 5794, 12952, 14467, 361, 334, 3946, 5014, 755, 36656, 28665, 24112, 35335, 28848, 16388, 478, 983, 2711, 640, 400, 470, 38090, 1079, 392, 16, 18413, 10460, 6315, 347, 17, 25253, 1081, 16, 48947, 1159, 504, 11015, 454, 16, 3424, 32026, 36088, 507, 5990, 293, 2612, 18, 5890, 7134, 5487, 25232, 3199, 309, 6793, 16, 22140, 4735, 1886, 567, 1054, 4912, 18, 12824, 3073, 16, 374, 478, 326, 20159, 5248, 6239, 470, 32338, 1623, 478, 6781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10485, 4048, 3509, 345, 18, 889, 639, 541, 1047, 13842, 13071, 18, 403, 2222, 575, 492, 685, 39493, 34232, 18, 817, 685, 45207, 3079, 635, 16, 1904, 7649, 706, 282, 25784, 1624, 1830, 505, 22140, 1655, 5780, 16, 374, 492, 19514, 47523, 286, 18, 4663, 2955, 27162, 510, 8048, 14730, 289, 18334, 718, 910, 510, 4725, 768, 1991, 285, 18, 17135, 11338, 4111, 5915, 4195, 798, 5854, 2016, 10035, 4623, 478, 46130, 470, 11658, 727, 1394, 356, 18, 1253, 25824, 21385, 18334, 718, 744, 818, 6425, 16, 13025, 44875, 448, 19786, 18, 478, 1140, 26694, 8434, 978, 10116, 354, 510, 481, 34885, 744, 5442, 291, 282, 4008, 18, 996, 309, 10296, 656, 34564, 697, 590, 6573, 510, 289, 481, 5641, 910, 510, 18585, 678, 282, 469, 40484, 18, 4756, 18334, 778, 4848, 290, 3043, 4840, 30970, 9991, 15297, 282, 15347, 21359, 16, 282, 2114, 11009, 16248, 478, 684, 1353, 3090, 19779, 470, 14083, 42236, 541, 3741, 25087, 18, 365, 17130, 22065, 478, 21, 15, 21, 470, 32290, 24500, 16, 374, 24382, 38321, 3623, 2665, 29926, 505, 26288, 510, 289, 481, 40465, 34156, 541, 478, 1567, 8032, 2150, 861, 45429, 503, 5692, 16, 374, 505, 28296, 31308, 282, 28787, 1805, 289, 40087, 549, 1783, 354, 1612, 6814, 9759, 21746, 18, 824, 3761, 8508, 29836, 11758, 12213, 381, 5066, 8434, 16249, 282, 32712, 2665, 16, 40907, 11385, 14040, 14120, 478, 41342, 7851, 470, 281, 667, 334, 4039, 3750, 16, 309, 2992, 3676, 10144, 4830, 2665, 6795, 35412, 1421, 20449, 18, 640, 5572, 2468, 11623, 3419, 11338, 503, 18334, 778, 16, 349, 2024, 6354, 16738, 1086, 2123, 9, 360, 1209, 36379, 41618, 16, 349, 1498, 37859, 35677, 4770, 7753, 9344, 473, 3572, 16, 23, 18314, 289, 5222, 4623, 478, 983, 2237, 49758, 7037, 470, 19518, 32652, 473, 3572, 21956, 385, 6175, 17420, 18334, 1703, 290, 3177, 18995, 282, 10296, 505, 16414, 22401, 10450, 18, 45429, 503, 519, 4319, 1326, 5702, 12181, 38345, 16, 16118, 5040, 8434, 567, 1209, 12202, 412, 3080, 292, 17045, 1760, 5999, 49849, 4830, 2665, 18222, 5741, 3990, 26155, 779, 18, 999, 3059, 15465, 2553, 1747, 11203, 13908, 20449, 16, 374, 2438, 15513, 536, 14978, 541, 4000, 18, 2, 1, 87, 1456, 81, 2448, 30, 12145, 5039, 2674, 451, 19505, 382, 12144, 309, 8537, 16, 381, 803, 3828, 4945, 30692, 9774, 505, 5703, 11662, 1246, 269, 1845, 19609, 913, 282, 3177, 584, 419, 844, 482, 18, 365, 14545, 15016, 5626, 9778, 29608, 12817, 432, 28654, 16, 334, 505, 4734, 16, 481, 3560, 26063, 2083, 16, 753, 7631, 18, 2320, 14703, 334, 41032, 47764, 3502, 460, 936, 478, 684, 6992, 491, 470, 282, 481, 322, 24182, 18, 31224, 30, 21837, 27153, 778, 9778, 289, 20295, 11662, 1246, 269, 1845, 19609, 913, 3828, 282, 3177, 584, 419, 844, 482, 16, 374, 396, 3935, 477, 2200, 37534, 2509, 7951, 4449, 510, 19505, 382, 28618, 612, 264, 16, 6065, 536, 773, 13323, 779, 2158, 18, 5585, 842, 21949, 14545, 6839, 5626, 16, 282, 2114, 29608, 15364, 1223, 2422, 349, 5318, 294, 505, 6632, 317, 1960, 306, 18, 478, 1358, 3027, 32568, 1209, 2917, 16, 1992, 3084, 2309, 349, 502, 16, 374, 745, 7650, 282, 1617, 6786, 19505, 382, 309, 1033, 828, 4317, 986, 18, 889, 906, 3476, 49196, 21942, 4653, 510, 4417, 2678, 6125, 289, 6281, 978, 2599, 13928, 27734, 18, 459, 1830, 481, 18428, 1211, 784, 3978, 16, 294, 6095, 16, 475, 7312, 289, 20366, 18, 629, 6540, 1304, 16, 19958, 289, 14285, 4915, 1749, 16, 289, 3240, 4719, 6839, 282, 970, 16, 374, 19505, 382, 2002, 322, 26479, 16, 1548, 374, 492, 7118, 282, 1304, 910, 510, 6463, 11662, 1246, 269, 18, 3791, 9778, 8494, 294, 22004, 1528, 18377, 1394, 12147, 347, 392, 1624, 2417, 6954, 3326, 4119, 439, 660, 36528, 6260, 5044, 16, 5794, 2803, 19505, 382, 28618, 612, 264, 16, 9798, 4027, 23928, 435, 6315, 347, 282, 12884, 2604, 779, 478, 684, 6992, 30, 43898, 485, 19505, 382, 861, 478, 4441, 3560, 26063, 2083, 16, 753, 7631, 16, 1548, 374, 3476, 5517, 19139, 324, 18, 13797, 1147, 6046, 954, 15364, 1943, 1283, 506, 2697, 3655, 2309, 18, 967, 1773, 8248, 3678, 14316, 2089, 3871, 6298, 910, 510, 18789, 1845, 19609, 913, 18, 365, 17130, 11338, 478, 23355, 1526, 7949, 16, 21898, 542, 470, 9778, 450, 13426, 586, 13278, 297, 987, 473, 32467, 14467, 361, 13, 289, 505, 4889, 17, 1013, 268, 28848, 16388, 38090, 1079, 392, 473, 28259, 755, 14467, 361, 13, 13202, 4110, 8348, 1845, 19609, 913, 18, 478, 1358, 6388, 381, 803, 3255, 18, 629, 322, 12236, 282, 481, 16, 515, 16962, 910, 510, 1109, 586, 13278, 297, 987, 18, 38090, 1079, 392, 7214, 281, 1498, 16, 334, 505, 4734, 16, 329, 1845, 19609, 913, 840, 764, 428, 8396, 4119, 17, 343, 482, 262, 18, 478, 1358, 1320, 453, 3684, 18, 3249, 953, 16, 840, 11931, 4119, 18, 608, 6613, 910, 510, 24500, 28848, 16388, 18, 31748, 10913, 11441, 478, 684, 6992, 491, 470, 11981, 309, 10933, 38500, 1533, 3612, 26155, 779, 16, 1655, 428, 33551, 23383, 12935, 3695, 4120, 16642, 779, 18, 365, 5214, 30841, 510, 35335, 439, 660, 10119, 6315, 280, 473, 21357, 7515, 504, 18, 48558, 934, 1029, 9414, 42171, 1519, 1251, 520, 6150, 15442, 353, 289, 38275, 294, 7933, 7404, 12496, 454, 16, 1029, 1943, 1852, 3818, 6097, 43131, 282, 505, 1354, 18, 44840, 3173, 309, 1702, 268, 1484, 47011, 1324, 2607, 281, 26669, 16, 1029, 16258, 14736, 281, 26557, 5169, 6315, 347, 18, 47009, 2674, 451, 19505, 382, 28618, 612, 264, 334, 17, 6093, 6450, 2712, 439, 660, 36528, 16, 1974, 773, 10412, 34468, 281, 697, 18583, 5015, 3593, 16, 3670, 16, 349, 374, 2353, 11203, 16, 289, 29084, 16, 374, 1003, 1329, 19079, 5169, 18, 1845, 19609, 913, 1858, 322, 687, 9635, 2022, 1089, 19505, 382, 28618, 612, 264, 16, 515, 289, 12679, 282, 3106, 7459, 8126, 289, 19279, 16275, 281, 931, 20490, 18, 41143, 5794, 12952, 14467, 361, 334, 3946, 5014, 755, 36656, 28665, 24112, 35335, 28848, 16388, 478, 983, 2711, 640, 400, 470, 38090, 1079, 392, 16, 18413, 10460, 6315, 347, 17, 25253, 1081, 16, 48947, 1159, 504, 11015, 454, 16, 3424, 32026, 36088, 507, 5990, 293, 2612, 18, 5890, 7134, 5487, 25232, 3199, 309, 6793, 16, 22140, 4735, 1886, 567, 1054, 4912, 18, 12824, 3073, 16, 374, 478, 326, 20159, 5248, 6239, 470, 32338, 1623, 478, 6781 ]
[ 399, 598, 265, 15273, 5543, 382, 910, 515, 371, 803, 478, 10524, 575, 36586, 861, 11333, 7788, 3655, 6793, 478, 27438, 536, 42813, 281, 14986, 3914, 758, 30288, 7899, 289, 23532, 14042, 432, 5251, 712, 16, 961, 387, 6418, 3255, 861, 4530, 867, 349, 1617, 28910, 448, 16741, 282, 2145, 32338, 15075, 49253, 282, 4843, 6654, 16, 23, 3763, 18, 6682, 924, 16, 6793, 21253, 1844, 24161, 416, 3609, 3989, 11726, 432, 7638, 411, 7619, 39145, 6623, 349, 46915, 12776, 16, 32763, 7021, 437, 40460, 7445, 427, 16, 14361, 4843, 8042, 16, 28, 3763, 18, 7200, 6793, 290, 3714, 49570, 19505, 382, 28618, 612, 264, 334, 39772, 11662, 546, 899, 1845, 19609, 913, 11368, 20295, 6260, 625, 10669, 280, 5945, 282, 17410, 1045, 16, 16150, 1421, 11898, 478, 49287, 910, 478, 35959, 9304, 948, 470, 289, 764, 1817, 16445, 5281, 47855, 298, 33500, 18, 967, 38204, 282, 4843, 21, 3763, 478, 730, 368, 382, 470, 17379, 4843, 10207, 16, 25, 3763, 16, 3429, 3818, 21017, 2509, 47991, 779, 282, 33937, 13006, 464, 282, 12838, 17410, 779, 18, 2112, 978, 281, 16456, 334, 5895, 3142, 639, 2671, 9069, 2852, 281, 931, 275, 713, 9756, 18, 20405, 16, 374, 7265, 17812, 48150, 541, 8621, 1559, 3800, 349, 16607, 4519, 434, 4027, 2422, 282, 37217, 32210, 1251, 47635, 15508, 304, 7362, 289, 688, 7165, 608, 19746, 1458, 304, 18, 1483, 299, 345, 10816, 19505, 382, 28618, 612, 264, 3929, 19505, 382, 2101, 447, 15573, 16, 688, 333, 608, 19746, 1458, 289, 10167, 23820, 15599, 16, 510, 3754, 16, 1845, 19609, 913, 481, 38296, 300, 18, 3557, 322, 2619, 492, 6455, 608, 19746, 1458, 272, 5408, 2998, 309, 4119, 27675, 21712, 17, 3533, 266, 7671, 19505, 382, 567, 7422, 12884, 16, 515, 282, 6031, 35335, 322, 6382, 18200, 2976, 18, 2, 1, 87, 1456, 81, 2448, 30, 48165, 35229, 1143, 322, 9733, 29653, 31104, 4556, 18, 824, 4734, 14971, 16, 2241, 322, 3225, 25252, 24786, 322, 687, 281, 1033, 3772, 758, 1702, 476, 2661, 1888, 13257, 16, 515, 1038, 281, 27257, 9832, 289, 35032, 353, 18, 31224, 30, 48165, 35229, 16, 2059, 411, 5606, 18447, 1712, 309, 8275, 21470, 6866, 16, 10211, 19352, 290, 970, 16, 374, 2010, 2285, 29653, 1702, 26726, 18, 1367, 803, 7190, 2241, 13737, 3907, 3787, 24679, 17, 11800, 1918, 44431, 534, 18, 8444, 2010, 2285, 7572, 1702, 19193, 5936, 23568, 55, 17, 56, 24, 16, 367, 21446, 17248, 394, 35229, 41903, 444, 23568, 55, 17, 56, 23, 1747, 2245, 1954, 16, 1055, 322, 1568, 27230, 18, 47339, 639, 4463, 9069, 13519, 13798, 282, 7044, 18, 7810, 35579, 35229, 322, 2438, 44813, 30, 282, 12500, 3785, 10956, 281, 9839, 14210, 718, 7043, 21470, 6866, 16, 367, 5957, 1011, 978, 722, 31104, 4556, 20915, 289, 16109, 281, 13567, 36084, 18, 35229, 906, 25315, 4309, 309, 5814, 478, 14760, 368, 470, 281, 1302, 17, 3680, 79, 6867, 2535, 1011, 18427, 1702, 8604, 35229, 1185, 3398, 44918, 282, 7520, 1045, 18, 8444, 322, 687, 29611, 7015, 11260, 281, 1286, 17, 42668, 2509, 1302, 17, 3680, 79, 48862, 16, 515, 289, 35708, 10353, 1293, 939, 36597, 15297, 18, 2949, 924, 16, 1717, 10828, 313, 1254, 35229, 15265, 2458, 12606, 25617, 5866, 19120, 6866, 38771, 2014, 16, 367, 18447, 1510, 282, 5049, 1045, 1702, 868, 23568, 55, 17, 40756, 1559, 5216, 35213, 304, 16, 7643, 2854, 1302, 17, 9341, 17, 4194, 616, 281, 1543, 283, 328, 312, 547, 289, 42939, 18, 2046, 282, 5975, 808, 6688, 35229, 309, 5814, 3525, 41930, 3768, 18, 824, 4734, 14971, 16, 329, 978, 1293, 4284, 18, 478, 732, 22796, 1398, 31104, 4556, 35229, 2245, 2919, 334, 1033, 7773, 10811, 16, 282, 502, 808, 428, 1702, 26726, 360, 10530, 49190, 473, 47, 3796, 716, 13, 289, 951, 10141, 573, 10, 50, 4166, 716, 473, 50, 3967, 934, 7415, 16, 6993, 7143, 318, 289, 1698, 23090, 935, 3440, 4843, 10590, 18, 2949, 924, 16, 282, 7623, 2083, 3333, 21215, 23800, 3836, 37691, 281, 6097, 15559, 22150, 670, 34073, 541, 19293, 6866, 289, 21470, 30334, 28388, 18, 4794, 21391, 31134, 28266, 309, 10216, 289, 4982, 10241, 21470, 6866, 35229, 910, 510, 10050, 41330, 15832, 680, 2241, 36981, 39, 12975, 8790, 8905, 401, 18, 2046, 16, 3848, 1223, 16, 35229, 322, 15069, 3118, 7631, 281, 7043, 21470, 15297, 281, 11329, 426, 339, 1302, 17, 3680, 79, 16, 367, 22431, 1423, 32645, 16, 18604, 2712, 8790, 8905, 401, 18, 478, 677, 2630, 281, 2184, 16, 2628, 16, 322, 2353, 13446, 3741, 4439, 1999, 15297, 35229, 41903, 444, 23568, 55, 17, 56, 16, 30500, 309, 23148, 15829, 18, 6682, 7514, 286, 1500, 5809, 16, 374, 35229, 5029, 5131, 4037, 27984, 6149, 309, 4211, 17, 409, 297, 11153, 289, 15242, 35229, 1130, 27022, 969, 18278, 910, 510, 17857, 1829, 678, 18, 824, 3761, 36981, 39, 16, 309, 30681, 5814, 21470, 6866, 334, 8872, 6740, 22652, 2801, 779, 35229, 9225, 1573, 12451, 1756, 281, 27845, 1061, 16, 25, 5999, 999, 1205, 16, 42094, 477, 6740, 22652, 3734, 779, 16, 10929, 1702, 19193, 35229, 282, 6515, 4267, 36534, 23205, 309, 21786, 16, 24, 5999, 640, 19862, 5814, 35229, 3164, 309, 37561, 2468, 281, 27845, 430, 16, 21, 7418, 10929, 17401, 933, 13542, 6330, 3585, 30990, 18, 28865, 1952, 7179, 7043, 651, 2388, 2241, 16, 428, 969, 5110, 980, 38, 3967, 16, 3926, 60, 980, 289, 969, 15630, 1095, 4390, 18, 478, 2176, 30681, 5814, 35229, 6110, 3145, 27987, 281, 7071, 27398, 2389, 16, 428, 10530, 49190, 289, 1802, 4166, 83, 16, 14517, 16, 374, 35229, 906, 281, 2875, 7426, 16, 5589, 420, 2339, 2678, 13913, 6866, 1248, 36563, 28283, 910, 510, 10703, 478, 46088, 18, 8381, 470, 12975, 8790, 8905, 401, 18, 478, 11227, 2241, 35229, 8275, 1702, 19193, 2002, 322, 15344, 16146, 536, 16, 3057, 282, 1175, 745, 322, 32955, 3230, 25193, 17, 466, 10124, 2223, 334, 46907, 289, 322, 30325, 1033, 1286, 9, 7043, 18, 365, 7044, 745, 1038, 2119, 14269, 281, 25941, 14280, 15852, 16, 2391, 2513, 2722, 8389, 7469, 3073, 3147, 5751, 3328, 30, 8084, 16, 374, 329, 2241, 1314, 2393, 34659, 1254, 910, 510, 5273, 18165, 6187, 2241, 969, 5110, 980, 38, 3967, 282, 1175, 10618, 38101, 613, 18, 967, 803, 17234, 1611, 5970, 21470, 6866, 322, 2353, 36014, 24786, 477, 1963, 10530, 49190, 16, 25482, 38101, 613, 30, 478, 5801, 5327, 10530, 49190, 510, 329, 1129, 2697, 8148, 4211, 17 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 399, 598, 265, 15273, 5543, 382, 910, 515, 371, 803, 478, 10524, 575, 36586, 861, 11333, 7788, 3655, 6793, 478, 27438, 536, 42813, 281, 14986, 3914, 758, 30288, 7899, 289, 23532, 14042, 432, 5251, 712, 16, 961, 387, 6418, 3255, 861, 4530, 867, 349, 1617, 28910, 448, 16741, 282, 2145, 32338, 15075, 49253, 282, 4843, 6654, 16, 23, 3763, 18, 6682, 924, 16, 6793, 21253, 1844, 24161, 416, 3609, 3989, 11726, 432, 7638, 411, 7619, 39145, 6623, 349, 46915, 12776, 16, 32763, 7021, 437, 40460, 7445, 427, 16, 14361, 4843, 8042, 16, 28, 3763, 18, 7200, 6793, 290, 3714, 49570, 19505, 382, 28618, 612, 264, 334, 39772, 11662, 546, 899, 1845, 19609, 913, 11368, 20295, 6260, 625, 10669, 280, 5945, 282, 17410, 1045, 16, 16150, 1421, 11898, 478, 49287, 910, 478, 35959, 9304, 948, 470, 289, 764, 1817, 16445, 5281, 47855, 298, 33500, 18, 967, 38204, 282, 4843, 21, 3763, 478, 730, 368, 382, 470, 17379, 4843, 10207, 16, 25, 3763, 16, 3429, 3818, 21017, 2509, 47991, 779, 282, 33937, 13006, 464, 282, 12838, 17410, 779, 18, 2112, 978, 281, 16456, 334, 5895, 3142, 639, 2671, 9069, 2852, 281, 931, 275, 713, 9756, 18, 20405, 16, 374, 7265, 17812, 48150, 541, 8621, 1559, 3800, 349, 16607, 4519, 434, 4027, 2422, 282, 37217, 32210, 1251, 47635, 15508, 304, 7362, 289, 688, 7165, 608, 19746, 1458, 304, 18, 1483, 299, 345, 10816, 19505, 382, 28618, 612, 264, 3929, 19505, 382, 2101, 447, 15573, 16, 688, 333, 608, 19746, 1458, 289, 10167, 23820, 15599, 16, 510, 3754, 16, 1845, 19609, 913, 481, 38296, 300, 18, 3557, 322, 2619, 492, 6455, 608, 19746, 1458, 272, 5408, 2998, 309, 4119, 27675, 21712, 17, 3533, 266, 7671, 19505, 382, 567, 7422, 12884, 16, 515, 282, 6031, 35335, 322, 6382, 18200, 2976, 18, 2, 1, 87, 1456, 81, 2448, 30, 48165, 35229, 1143, 322, 9733, 29653, 31104, 4556, 18, 824, 4734, 14971, 16, 2241, 322, 3225, 25252, 24786, 322, 687, 281, 1033, 3772, 758, 1702, 476, 2661, 1888, 13257, 16, 515, 1038, 281, 27257, 9832, 289, 35032, 353, 18, 31224, 30, 48165, 35229, 16, 2059, 411, 5606, 18447, 1712, 309, 8275, 21470, 6866, 16, 10211, 19352, 290, 970, 16, 374, 2010, 2285, 29653, 1702, 26726, 18, 1367, 803, 7190, 2241, 13737, 3907, 3787, 24679, 17, 11800, 1918, 44431, 534, 18, 8444, 2010, 2285, 7572, 1702, 19193, 5936, 23568, 55, 17, 56, 24, 16, 367, 21446, 17248, 394, 35229, 41903, 444, 23568, 55, 17, 56, 23, 1747, 2245, 1954, 16, 1055, 322, 1568, 27230, 18, 47339, 639, 4463, 9069, 13519, 13798, 282, 7044, 18, 7810, 35579, 35229, 322, 2438, 44813, 30, 282, 12500, 3785, 10956, 281, 9839, 14210, 718, 7043, 21470, 6866, 16, 367, 5957, 1011, 978, 722, 31104, 4556, 20915, 289, 16109, 281, 13567, 36084, 18, 35229, 906, 25315, 4309, 309, 5814, 478, 14760, 368, 470, 281, 1302, 17, 3680, 79, 6867, 2535, 1011, 18427, 1702, 8604, 35229, 1185, 3398, 44918, 282, 7520, 1045, 18, 8444, 322, 687, 29611, 7015, 11260, 281, 1286, 17, 42668, 2509, 1302, 17, 3680, 79, 48862, 16, 515, 289, 35708, 10353, 1293, 939, 36597, 15297, 18, 2949, 924, 16, 1717, 10828, 313, 1254, 35229, 15265, 2458, 12606, 25617, 5866, 19120, 6866, 38771, 2014, 16, 367, 18447, 1510, 282, 5049, 1045, 1702, 868, 23568, 55, 17, 40756, 1559, 5216, 35213, 304, 16, 7643, 2854, 1302, 17, 9341, 17, 4194, 616, 281, 1543, 283, 328, 312, 547, 289, 42939, 18, 2046, 282, 5975, 808, 6688, 35229, 309, 5814, 3525, 41930, 3768, 18, 824, 4734, 14971, 16, 329, 978, 1293, 4284, 18, 478, 732, 22796, 1398, 31104, 4556, 35229, 2245, 2919, 334, 1033, 7773, 10811, 16, 282, 502, 808, 428, 1702, 26726, 360, 10530, 49190, 473, 47, 3796, 716, 13, 289, 951, 10141, 573, 10, 50, 4166, 716, 473, 50, 3967, 934, 7415, 16, 6993, 7143, 318, 289, 1698, 23090, 935, 3440, 4843, 10590, 18, 2949, 924, 16, 282, 7623, 2083, 3333, 21215, 23800, 3836, 37691, 281, 6097, 15559, 22150, 670, 34073, 541, 19293, 6866, 289, 21470, 30334, 28388, 18, 4794, 21391, 31134, 28266, 309, 10216, 289, 4982, 10241, 21470, 6866, 35229, 910, 510, 10050, 41330, 15832, 680, 2241, 36981, 39, 12975, 8790, 8905, 401, 18, 2046, 16, 3848, 1223, 16, 35229, 322, 15069, 3118, 7631, 281, 7043, 21470, 15297, 281, 11329, 426, 339, 1302, 17, 3680, 79, 16, 367, 22431, 1423, 32645, 16, 18604, 2712, 8790, 8905, 401, 18, 478, 677, 2630, 281, 2184, 16, 2628, 16, 322, 2353, 13446, 3741, 4439, 1999, 15297, 35229, 41903, 444, 23568, 55, 17, 56, 16, 30500, 309, 23148, 15829, 18, 6682, 7514, 286, 1500, 5809, 16, 374, 35229, 5029, 5131, 4037, 27984, 6149, 309, 4211, 17, 409, 297, 11153, 289, 15242, 35229, 1130, 27022, 969, 18278, 910, 510, 17857, 1829, 678, 18, 824, 3761, 36981, 39, 16, 309, 30681, 5814, 21470, 6866, 334, 8872, 6740, 22652, 2801, 779, 35229, 9225, 1573, 12451, 1756, 281, 27845, 1061, 16, 25, 5999, 999, 1205, 16, 42094, 477, 6740, 22652, 3734, 779, 16, 10929, 1702, 19193, 35229, 282, 6515, 4267, 36534, 23205, 309, 21786, 16, 24, 5999, 640, 19862, 5814, 35229, 3164, 309, 37561, 2468, 281, 27845, 430, 16, 21, 7418, 10929, 17401, 933, 13542, 6330, 3585, 30990, 18, 28865, 1952, 7179, 7043, 651, 2388, 2241, 16, 428, 969, 5110, 980, 38, 3967, 16, 3926, 60, 980, 289, 969, 15630, 1095, 4390, 18, 478, 2176, 30681, 5814, 35229, 6110, 3145, 27987, 281, 7071, 27398, 2389, 16, 428, 10530, 49190, 289, 1802, 4166, 83, 16, 14517, 16, 374, 35229, 906, 281, 2875, 7426, 16, 5589, 420, 2339, 2678, 13913, 6866, 1248, 36563, 28283, 910, 510, 10703, 478, 46088, 18, 8381, 470, 12975, 8790, 8905, 401, 18, 478, 11227, 2241, 35229, 8275, 1702, 19193, 2002, 322, 15344, 16146, 536, 16, 3057, 282, 1175, 745, 322, 32955, 3230, 25193, 17, 466, 10124, 2223, 334, 46907, 289, 322, 30325, 1033, 1286, 9, 7043, 18, 365, 7044, 745, 1038, 2119, 14269, 281, 25941, 14280, 15852, 16, 2391, 2513, 2722, 8389, 7469, 3073, 3147, 5751, 3328, 30, 8084, 16, 374, 329, 2241, 1314, 2393, 34659, 1254, 910, 510, 5273, 18165, 6187, 2241, 969, 5110, 980, 38, 3967, 282, 1175, 10618, 38101, 613, 18, 967, 803, 17234, 1611, 5970, 21470, 6866, 322, 2353, 36014, 24786, 477, 1963, 10530, 49190, 16, 25482, 38101, 613, 30, 478, 5801, 5327, 10530, 49190, 510, 329, 1129, 2697, 8148, 4211, 17 ]
[ 277, 14159, 18, 1606, 3229, 1223, 31518, 10928, 16, 367, 726, 6230, 349, 1498, 510, 11260, 18, 365, 1175, 575, 475, 6891, 30, 309, 5200, 5814, 10929, 35196, 322, 15409, 4364, 16790, 478, 313, 944, 431, 11593, 1493, 2110, 29888, 31676, 6048, 3440, 430, 9, 861, 478, 6161, 10530, 49190, 11981, 309, 9805, 8275, 16, 1450, 4128, 6281, 334, 8459, 16, 21149, 3328, 541, 1710, 14857, 18, 365, 1175, 31676, 282, 22792, 24083, 4256, 986, 7006, 520, 5304, 1852, 15413, 1116, 17812, 22184, 16, 453, 428, 505, 2410, 7339, 16587, 9153, 1519, 30, 294, 2856, 322, 6354, 537, 25889, 16, 537, 16188, 16, 537, 4211, 910, 510, 5273, 10618, 38101, 613, 18, 824, 505, 3163, 16, 282, 5329, 17325, 43077, 7043, 21470, 6866, 4896, 4652, 1760, 9, 282, 1205, 18, 478, 672, 1117, 468, 3621, 282, 5344, 349, 2948, 11908, 16, 282, 970, 2875, 411, 17, 431, 2119, 2005, 469, 5927, 507, 924, 575, 10530, 49190, 281, 21814, 697, 11410, 4556, 309, 2393, 8578, 910, 510, 41988, 492, 18, 365, 7044, 575, 289, 1175, 8275, 21470, 6866, 9280, 14583, 16, 1830, 289, 322, 939, 23484, 40169, 16, 2548, 38101, 613, 30, 478, 4670, 803, 16, 1830, 3333, 289, 12530, 8197, 11071, 538, 16, 2447, 2023, 16, 374, 334, 5833, 3538, 282, 1175, 8275, 27257, 6464, 289, 41382, 322, 2397, 1482, 2585, 12724, 309, 5969, 7043, 1702, 19193, 30, 334, 8331, 16, 481, 11071, 21533, 767, 310, 1453, 18, 608, 813, 4506, 539, 7957, 309, 1967, 26476, 322, 1143, 16, 828, 16, 11271, 16, 309, 26476, 1932, 1940, 432, 5642, 289, 12406, 1051, 16, 453, 428, 4937, 549, 8385, 1623, 537, 466, 3259, 45121, 16, 1029, 8123, 32447, 14125, 541, 19293, 16, 19756, 448, 282, 1888, 8578, 292, 861, 2, 1, 87, 1456, 81, 2448, 30, 6115, 2106, 274, 11411, 282, 50128, 3636, 348, 20627, 17704, 12975, 6470, 426, 2882, 4155, 8991, 43788, 24413, 304, 424, 21784, 18, 889, 3003, 18749, 21872, 1700, 26689, 16, 2486, 8018, 1374, 29994, 478, 30978, 350, 24450, 785, 20256, 24007, 21287, 4162, 3049, 1041, 510, 3417, 3763, 2791, 18, 4922, 11617, 510, 15513, 541, 7179, 1551, 23766, 624, 30, 4419, 3818, 6097, 3049, 11502, 898, 12911, 3763, 2791, 18, 31224, 30, 677, 9937, 7276, 4653, 14630, 10539, 5129, 4502, 1909, 33645, 37697, 43417, 6470, 426, 2882, 309, 1103, 1070, 24164, 18, 6290, 4462, 8328, 42903, 16885, 1272, 22674, 32277, 281, 8951, 36132, 478, 730, 14360, 1926, 9930, 861, 985, 12374, 16, 745, 6498, 17126, 40018, 19243, 5675, 7037, 1624, 1029, 453, 575, 16, 428, 289, 6470, 426, 2882, 16, 4434, 4973, 282, 50128, 282, 7117, 27177, 9802, 473, 283, 18, 1032, 422, 18, 50024, 11828, 814, 2320, 1743, 4502, 4688, 3255, 18, 31778, 1164, 16805, 24370, 1424, 282, 3049, 289, 35604, 1424, 1248, 11954, 16, 14491, 11784, 1237, 18, 478, 4441, 2710, 17, 299, 11790, 394, 16, 13754, 276, 9546, 448, 910, 510, 6949, 5590, 40018, 26227, 5675, 7037, 282, 7337, 1560, 9028, 2251, 7309, 282, 1500, 2083, 16, 785, 19142, 1162, 16329, 343, 6605, 349, 722, 6381, 16, 15835, 4890, 3049, 18, 5675, 7037, 289, 1293, 722, 21669, 16, 21135, 290, 2463, 6470, 426, 2882, 16, 5658, 8593, 289, 309, 722, 14668, 18, 478, 15883, 11112, 2287, 4776, 16, 428, 678, 3164, 424, 29092, 910, 510, 10799, 282, 17465, 722, 15320, 4944, 8833, 1068, 405, 18, 43788, 24413, 26865, 33645, 6470, 426, 2882, 309, 3003, 20256, 16882, 718, 5129, 12097, 6315, 418, 344, 11081, 473, 275, 1454, 282, 478, 436, 711, 368, 9020, 3213, 718, 12235, 1029, 3436, 3802, 1103, 9572, 722, 11923, 519, 1409, 4120, 18, 889, 726, 10546, 3988, 10478, 17627, 6036, 18, 4756, 43788, 24413, 13749, 16, 374, 3003, 20256, 290, 25873, 424, 32496, 639, 36239, 6279, 16, 289, 24548, 43787, 14160, 5187, 541, 9357, 434, 20594, 18, 740, 28441, 1551, 6088, 371, 3177, 45627, 30, 44956, 289, 16390, 18, 824, 3163, 8833, 1068, 405, 16, 6470, 426, 2882, 281, 6175, 37728, 3857, 478, 11235, 312, 2712, 470, 502, 282, 16200, 755, 16, 502, 282, 13335, 16, 3387, 5296, 722, 7574, 6353, 13029, 18238, 18, 7909, 722, 2400, 4667, 282, 7343, 23830, 21618, 35524, 4855, 1286, 16, 5957, 31458, 282, 478, 27064, 648, 2127, 6733, 12827, 910, 988, 8849, 20306, 29606, 40167, 16, 4723, 6470, 426, 2882, 13317, 726, 282, 44463, 13335, 4855, 1939, 16, 282, 1754, 8849, 16851, 4781, 541, 7901, 10733, 3314, 18, 365, 11500, 282, 1420, 678, 906, 12048, 8140, 16, 289, 14265, 322, 6371, 329, 1710, 8037, 16, 1586, 31124, 373, 282, 2713, 2696, 6656, 473, 1369, 15771, 3250, 282, 1169, 3770, 19223, 9337, 424, 29092, 16753, 814, 8858, 2016, 48959, 6470, 426, 2882, 282, 478, 27064, 648, 2127, 6733, 12827, 910, 4723, 722, 5957, 6981, 15787, 282, 34788, 2931, 2127, 13335, 541, 6053, 18, 1483, 412, 1633, 15920, 4820, 775, 9328, 3424, 18310, 282, 35524, 4855, 1286, 16, 1029, 5957, 24132, 22207, 19143, 282, 478, 27064, 648, 2127, 6733, 12827, 910, 988, 678, 1314, 289, 3164, 18, 29157, 1214, 548, 9474, 16506, 30, 6470, 426, 2882, 24798, 10569, 299, 5885, 16, 1586, 8034, 282, 5063, 1545, 19796, 6656, 16, 515, 14265, 6815, 467, 8881, 8037, 18, 478, 8244, 4266, 16, 374, 8037, 1003, 16, 367, 827, 289, 912, 16, 502, 481, 10896, 539, 473, 1009, 40674, 2882, 17530, 1205, 13, 910, 510, 31482, 1188, 6655, 1525, 5129, 8833, 1068, 405, 18, 7100, 1209, 25732, 282, 3049, 18, 31703, 6470, 426, 2882, 282, 478, 333, 8470, 3859, 470, 322, 5121, 16, 6996, 722, 26134, 1560, 599, 812, 318, 16, 4853, 301, 2906, 334, 32287, 18, 7375, 292, 795, 4749, 3708, 282, 4275, 339, 5209, 582, 289, 21069, 34089, 411, 14869, 4745, 8491, 309, 23704, 18, 38659, 7956, 2326, 420, 33467, 15395, 3277, 11852, 294, 6619, 1272, 16159, 6325, 18, 7200, 510, 18153, 30891, 478, 5094, 323, 3599, 470, 360, 491, 3972, 4479, 779, 16, 282, 1119, 37728, 6470, 426, 2882, 18, 478, 19571, 10292, 5780, 16, 374, 678, 8641, 11638, 2964, 7999, 1519, 12989, 16, 9075, 4416, 1684, 2977, 16, 510, 1109, 2985, 2016, 18, 510, 38119, 7528, 7784, 478, 5094, 323, 3599, 470, 18584, 6406, 329, 1710, 282, 1177, 1119, 10569, 14712, 2403, 1479, 288, 289, 16926, 16, 374, 678, 17182, 282, 19032, 289, 4808, 1212, 32684, 861, 17580, 48757, 510, 15045, 329, 8646, 1041, 16, 1029, 14914, 5252, 16, 374, 371, 5744, 8256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 277, 14159, 18, 1606, 3229, 1223, 31518, 10928, 16, 367, 726, 6230, 349, 1498, 510, 11260, 18, 365, 1175, 575, 475, 6891, 30, 309, 5200, 5814, 10929, 35196, 322, 15409, 4364, 16790, 478, 313, 944, 431, 11593, 1493, 2110, 29888, 31676, 6048, 3440, 430, 9, 861, 478, 6161, 10530, 49190, 11981, 309, 9805, 8275, 16, 1450, 4128, 6281, 334, 8459, 16, 21149, 3328, 541, 1710, 14857, 18, 365, 1175, 31676, 282, 22792, 24083, 4256, 986, 7006, 520, 5304, 1852, 15413, 1116, 17812, 22184, 16, 453, 428, 505, 2410, 7339, 16587, 9153, 1519, 30, 294, 2856, 322, 6354, 537, 25889, 16, 537, 16188, 16, 537, 4211, 910, 510, 5273, 10618, 38101, 613, 18, 824, 505, 3163, 16, 282, 5329, 17325, 43077, 7043, 21470, 6866, 4896, 4652, 1760, 9, 282, 1205, 18, 478, 672, 1117, 468, 3621, 282, 5344, 349, 2948, 11908, 16, 282, 970, 2875, 411, 17, 431, 2119, 2005, 469, 5927, 507, 924, 575, 10530, 49190, 281, 21814, 697, 11410, 4556, 309, 2393, 8578, 910, 510, 41988, 492, 18, 365, 7044, 575, 289, 1175, 8275, 21470, 6866, 9280, 14583, 16, 1830, 289, 322, 939, 23484, 40169, 16, 2548, 38101, 613, 30, 478, 4670, 803, 16, 1830, 3333, 289, 12530, 8197, 11071, 538, 16, 2447, 2023, 16, 374, 334, 5833, 3538, 282, 1175, 8275, 27257, 6464, 289, 41382, 322, 2397, 1482, 2585, 12724, 309, 5969, 7043, 1702, 19193, 30, 334, 8331, 16, 481, 11071, 21533, 767, 310, 1453, 18, 608, 813, 4506, 539, 7957, 309, 1967, 26476, 322, 1143, 16, 828, 16, 11271, 16, 309, 26476, 1932, 1940, 432, 5642, 289, 12406, 1051, 16, 453, 428, 4937, 549, 8385, 1623, 537, 466, 3259, 45121, 16, 1029, 8123, 32447, 14125, 541, 19293, 16, 19756, 448, 282, 1888, 8578, 292, 861, 2, 1, 87, 1456, 81, 2448, 30, 6115, 2106, 274, 11411, 282, 50128, 3636, 348, 20627, 17704, 12975, 6470, 426, 2882, 4155, 8991, 43788, 24413, 304, 424, 21784, 18, 889, 3003, 18749, 21872, 1700, 26689, 16, 2486, 8018, 1374, 29994, 478, 30978, 350, 24450, 785, 20256, 24007, 21287, 4162, 3049, 1041, 510, 3417, 3763, 2791, 18, 4922, 11617, 510, 15513, 541, 7179, 1551, 23766, 624, 30, 4419, 3818, 6097, 3049, 11502, 898, 12911, 3763, 2791, 18, 31224, 30, 677, 9937, 7276, 4653, 14630, 10539, 5129, 4502, 1909, 33645, 37697, 43417, 6470, 426, 2882, 309, 1103, 1070, 24164, 18, 6290, 4462, 8328, 42903, 16885, 1272, 22674, 32277, 281, 8951, 36132, 478, 730, 14360, 1926, 9930, 861, 985, 12374, 16, 745, 6498, 17126, 40018, 19243, 5675, 7037, 1624, 1029, 453, 575, 16, 428, 289, 6470, 426, 2882, 16, 4434, 4973, 282, 50128, 282, 7117, 27177, 9802, 473, 283, 18, 1032, 422, 18, 50024, 11828, 814, 2320, 1743, 4502, 4688, 3255, 18, 31778, 1164, 16805, 24370, 1424, 282, 3049, 289, 35604, 1424, 1248, 11954, 16, 14491, 11784, 1237, 18, 478, 4441, 2710, 17, 299, 11790, 394, 16, 13754, 276, 9546, 448, 910, 510, 6949, 5590, 40018, 26227, 5675, 7037, 282, 7337, 1560, 9028, 2251, 7309, 282, 1500, 2083, 16, 785, 19142, 1162, 16329, 343, 6605, 349, 722, 6381, 16, 15835, 4890, 3049, 18, 5675, 7037, 289, 1293, 722, 21669, 16, 21135, 290, 2463, 6470, 426, 2882, 16, 5658, 8593, 289, 309, 722, 14668, 18, 478, 15883, 11112, 2287, 4776, 16, 428, 678, 3164, 424, 29092, 910, 510, 10799, 282, 17465, 722, 15320, 4944, 8833, 1068, 405, 18, 43788, 24413, 26865, 33645, 6470, 426, 2882, 309, 3003, 20256, 16882, 718, 5129, 12097, 6315, 418, 344, 11081, 473, 275, 1454, 282, 478, 436, 711, 368, 9020, 3213, 718, 12235, 1029, 3436, 3802, 1103, 9572, 722, 11923, 519, 1409, 4120, 18, 889, 726, 10546, 3988, 10478, 17627, 6036, 18, 4756, 43788, 24413, 13749, 16, 374, 3003, 20256, 290, 25873, 424, 32496, 639, 36239, 6279, 16, 289, 24548, 43787, 14160, 5187, 541, 9357, 434, 20594, 18, 740, 28441, 1551, 6088, 371, 3177, 45627, 30, 44956, 289, 16390, 18, 824, 3163, 8833, 1068, 405, 16, 6470, 426, 2882, 281, 6175, 37728, 3857, 478, 11235, 312, 2712, 470, 502, 282, 16200, 755, 16, 502, 282, 13335, 16, 3387, 5296, 722, 7574, 6353, 13029, 18238, 18, 7909, 722, 2400, 4667, 282, 7343, 23830, 21618, 35524, 4855, 1286, 16, 5957, 31458, 282, 478, 27064, 648, 2127, 6733, 12827, 910, 988, 8849, 20306, 29606, 40167, 16, 4723, 6470, 426, 2882, 13317, 726, 282, 44463, 13335, 4855, 1939, 16, 282, 1754, 8849, 16851, 4781, 541, 7901, 10733, 3314, 18, 365, 11500, 282, 1420, 678, 906, 12048, 8140, 16, 289, 14265, 322, 6371, 329, 1710, 8037, 16, 1586, 31124, 373, 282, 2713, 2696, 6656, 473, 1369, 15771, 3250, 282, 1169, 3770, 19223, 9337, 424, 29092, 16753, 814, 8858, 2016, 48959, 6470, 426, 2882, 282, 478, 27064, 648, 2127, 6733, 12827, 910, 4723, 722, 5957, 6981, 15787, 282, 34788, 2931, 2127, 13335, 541, 6053, 18, 1483, 412, 1633, 15920, 4820, 775, 9328, 3424, 18310, 282, 35524, 4855, 1286, 16, 1029, 5957, 24132, 22207, 19143, 282, 478, 27064, 648, 2127, 6733, 12827, 910, 988, 678, 1314, 289, 3164, 18, 29157, 1214, 548, 9474, 16506, 30, 6470, 426, 2882, 24798, 10569, 299, 5885, 16, 1586, 8034, 282, 5063, 1545, 19796, 6656, 16, 515, 14265, 6815, 467, 8881, 8037, 18, 478, 8244, 4266, 16, 374, 8037, 1003, 16, 367, 827, 289, 912, 16, 502, 481, 10896, 539, 473, 1009, 40674, 2882, 17530, 1205, 13, 910, 510, 31482, 1188, 6655, 1525, 5129, 8833, 1068, 405, 18, 7100, 1209, 25732, 282, 3049, 18, 31703, 6470, 426, 2882, 282, 478, 333, 8470, 3859, 470, 322, 5121, 16, 6996, 722, 26134, 1560, 599, 812, 318, 16, 4853, 301, 2906, 334, 32287, 18, 7375, 292, 795, 4749, 3708, 282, 4275, 339, 5209, 582, 289, 21069, 34089, 411, 14869, 4745, 8491, 309, 23704, 18, 38659, 7956, 2326, 420, 33467, 15395, 3277, 11852, 294, 6619, 1272, 16159, 6325, 18, 7200, 510, 18153, 30891, 478, 5094, 323, 3599, 470, 360, 491, 3972, 4479, 779, 16, 282, 1119, 37728, 6470, 426, 2882, 18, 478, 19571, 10292, 5780, 16, 374, 678, 8641, 11638, 2964, 7999, 1519, 12989, 16, 9075, 4416, 1684, 2977, 16, 510, 1109, 2985, 2016, 18, 510, 38119, 7528, 7784, 478, 5094, 323, 3599, 470, 18584, 6406, 329, 1710, 282, 1177, 1119, 10569, 14712, 2403, 1479, 288, 289, 16926, 16, 374, 678, 17182, 282, 19032, 289, 4808, 1212, 32684, 861, 17580, 48757, 510, 15045, 329, 8646, 1041, 16, 1029, 14914, 5252, 16, 374, 371, 5744, 8256 ]
[ 282, 18020, 1631, 531, 5131, 665, 1033, 3437, 8560, 37478, 6841, 584, 4646, 2682, 18, 478, 1009, 40674, 2882, 13494, 505, 726, 1488, 4776, 910, 510, 16926, 15320, 18, 824, 722, 3163, 16, 14265, 475, 1488, 4776, 322, 1698, 8658, 19902, 18, 26380, 265, 28404, 294, 6619, 3277, 16238, 18, 6470, 426, 2882, 282, 1360, 8180, 16926, 16, 374, 28441, 1551, 371, 10954, 763, 4075, 322, 5962, 567, 2904, 5024, 290, 722, 8361, 30, 5296, 7574, 16, 7814, 1551, 2739, 16, 2555, 986, 31381, 594, 626, 16, 25552, 1756, 25364, 18, 478, 20186, 564, 1533, 986, 417, 14388, 17704, 2127, 5998, 289, 9191, 1713, 8984, 5003, 668, 5901, 16, 510, 2323, 678, 18, 510, 385, 6175, 24164, 417, 33700, 282, 4349, 10569, 14712, 2160, 1479, 431, 18, 21760, 21952, 29557, 41025, 332, 16444, 2257, 8265, 289, 1480, 4416, 35182, 3741, 18, 629, 16706, 1176, 29666, 16089, 4831, 567, 808, 6053, 18, 1598, 17, 431, 14075, 6053, 2447, 15529, 764, 1176, 861, 824, 722, 3163, 16, 531, 5131, 320, 16, 1029, 678, 13494, 726, 1488, 4776, 16, 3857, 22803, 1812, 16, 289, 8811, 35524, 2405, 2625, 505, 13868, 6221, 411, 6760, 10043, 1439, 2147, 18, 478, 6889, 2142, 1551, 24924, 10646, 14735, 289, 26905, 3228, 910, 510, 45574, 10733, 5103, 18, 4988, 15320, 2326, 420, 33467, 14291, 16, 374, 16044, 6315, 418, 344, 11081, 1011, 14574, 43788, 24413, 304, 20546, 624, 381, 47043, 29386, 20341, 3230, 793, 3137, 32021, 18, 478, 46255, 1615, 24413, 13217, 3671, 263, 20488, 19058, 564, 24164, 16, 515, 492, 334, 17, 6093, 978, 322, 3404, 910, 510, 2323, 678, 18, 4802, 3169, 282, 20546, 1207, 1038, 3153, 290, 970, 16, 374, 6470, 426, 2882, 1413, 9218, 11440, 309, 40178, 18, 478, 21393, 23828, 33691, 16, 988, 4849, 41988, 16, 374, 282, 12354, 5021, 779, 975, 9721, 385, 13164, 360, 6470, 426, 2882, 16, 988, 678, 2548, 16, 374, 492, 840, 33974, 281, 5174, 6700, 35544, 16, 510, 2323, 2326, 420, 33467, 18, 510, 740, 481, 639, 282, 12354, 5021, 779, 16, 1743, 764, 322, 639, 18966, 861, 365, 2343, 8180, 2326, 420, 33467, 16926, 16, 374, 309, 1743, 14676, 2904, 37038, 1551, 289, 5831, 968, 3003, 43788, 267, 795, 35917, 282, 33645, 16, 1586, 840, 2657, 2773, 282, 50022, 584, 45092, 519, 1032, 4120, 16, 289, 15395, 13125, 319, 541, 6470, 426, 2882, 21784, 282, 1421, 9433, 2791, 18, 10351, 33695, 685, 8626, 2306, 30, 492, 5273, 3003, 16882, 718, 5129, 43182, 289, 15878, 6279, 18, 1415, 7871, 48295, 1871, 17, 1198, 7130, 16, 19142, 1162, 7276, 4653, 39277, 21743, 32174, 309, 21784, 282, 3417, 3763, 2791, 18, 36266, 7512, 2003, 11028, 519, 1409, 4120, 18, 43181, 15102, 282, 6900, 34144, 16, 21233, 290, 3049, 2517, 16, 4686, 349, 9317, 3704, 265, 4110, 32233, 16, 515, 16, 683, 26547, 722, 4162, 16, 2530, 446, 538, 289, 2458, 22074, 30, 478, 30978, 350, 5, 5309, 350, 4271, 6470, 426, 2882, 16, 15938, 19801, 10181, 289, 322, 683, 26547, 7512, 16, 1011, 22812, 1443, 12511, 6818, 19142, 18, 16095, 6470, 426, 2882, 16, 1292, 10733, 4068, 16, 7007, 1188, 45247, 289, 31482, 30, 478, 10590, 5752, 4271, 478, 46928, 11617, 5433, 510, 322, 6021, 10733, 5103, 18, 478, 10590, 5752, 5, 5091, 2388, 2764, 4693, 5433, 510, 11580, 364, 4134, 9195, 18, 41788, 1356, 5103, 32918, 282, 41785, 18, 632, 14101, 16, 1029, 2003, 18894, 541, 18557, 6470, 426, 2882, 16, 895, 1852, 15513, 536, 541, 7179, 1551, 23766, 624, 18, 4756, 14088, 25173, 282, 3182, 898, 12512, 16, 14927, 1453, 309, 50119, 5129, 349, 26147, 9798, 9541, 17, 40000, 1614, 6596, 13637, 19904, 1761, 363, 8582, 473, 3324, 3763, 2791, 13, 289, 9798, 4183, 18065, 20148, 8840, 12250, 22689, 680, 37319, 19243, 504, 538, 3340, 473, 8042, 3763, 2791, 814, 5351, 938, 1545, 18744, 9439, 2149, 3851, 16, 16095, 6470, 426, 2882, 13558, 334, 7598, 2381, 289, 31907, 937, 30, 478, 6161, 417, 475, 5633, 14461, 1103, 395, 16, 289, 502, 322, 19364, 1463, 861, 48811, 1262, 15111, 6911, 15703, 30, 15312, 478, 273, 1334, 470, 334, 13553, 344, 4076, 16, 10106, 294, 28463, 680, 21555, 45580, 39791, 272, 289, 6131, 1484, 9810, 1161, 1624, 6125, 541, 8880, 29113, 454, 282, 10249, 18, 29157, 1214, 548, 1038, 6711, 808, 22457, 16, 428, 773, 17129, 2915, 18, 365, 6031, 5658, 20546, 3194, 381, 5914, 8191, 12512, 3049, 1041, 18, 824, 3761, 14160, 16, 282, 6982, 1045, 6470, 426, 2882, 16, 1586, 1655, 906, 6700, 27794, 2610, 289, 1069, 47784, 19007, 478, 1009, 672, 470, 478, 11844, 21186, 910, 8423, 282, 46944, 397, 17, 6838, 582, 5003, 282, 9802, 4843, 7536, 3763, 18, 16577, 1421, 779, 678, 8865, 701, 281, 30833, 290, 7896, 4026, 4543, 18, 365, 3106, 3049, 1041, 678, 18087, 2361, 411, 4256, 12424, 309, 14936, 291, 23706, 23435, 16, 46462, 2241, 18, 2949, 924, 16, 7065, 17602, 10173, 3417, 9, 11400, 3463, 9954, 31817, 7733, 3320, 473, 20856, 630, 478, 789, 987, 11523, 1598, 11418, 9789, 16, 374, 371, 14283, 464, 334, 32826, 1306, 4843, 2479, 3763, 6470, 426, 2882, 16151, 3417, 9, 11400, 478, 11844, 45054, 861, 365, 5021, 1045, 7065, 8251, 937, 329, 6470, 426, 2882, 6259, 5768, 309, 8554, 19007, 478, 1009, 672, 470, 478, 11844, 21186, 470, 289, 24240, 8794, 18, 985, 5273, 13391, 16, 17627, 11411, 16705, 1154, 4843, 6091, 3763, 18, 967, 803, 16220, 17627, 6036, 12698, 16, 374, 7065, 13112, 3772, 309, 9482, 10139, 12424, 16, 282, 502, 808, 16, 428, 6470, 426, 2882, 6524, 4318, 6335, 2301, 21478, 510, 4843, 4691, 3763, 18, 478, 19572, 878, 978, 16, 7065, 11103, 364, 1450, 2954, 778, 1263, 1033, 2236, 16255, 2791, 910, 510, 10662, 16095, 6470, 426, 2882, 18, 25295, 539, 1743, 282, 4599, 37697, 639, 18966, 282, 13186, 6705, 779, 16, 282, 11023, 678, 906, 10570, 324, 18, 478, 1358, 2141, 322, 4560, 16, 428, 733, 11096, 21478, 16, 1029, 6524, 39576, 289, 19319, 685, 12974, 1235, 16, 895, 23503, 13771, 307, 9335, 16, 510, 31907, 1211, 15320, 8833, 1068, 405, 16, 3542, 3055, 16, 374, 4419, 36560, 29690, 6470, 426, 2882, 8940, 1743, 282, 42719, 4666, 16, 502, 912, 11211, 1423, 16789, 18, 510, 629, 9763, 16, 374, 1743, 1698, 16161, 349, 25094, 9536, 8150, 670, 16, 3848, 1223, 16, 7896, 23305, 1519, 16, 753, 19058, 319, 9337, 424, 29092, 861, 47245, 10936, 334, 2856, 6619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 18020, 1631, 531, 5131, 665, 1033, 3437, 8560, 37478, 6841, 584, 4646, 2682, 18, 478, 1009, 40674, 2882, 13494, 505, 726, 1488, 4776, 910, 510, 16926, 15320, 18, 824, 722, 3163, 16, 14265, 475, 1488, 4776, 322, 1698, 8658, 19902, 18, 26380, 265, 28404, 294, 6619, 3277, 16238, 18, 6470, 426, 2882, 282, 1360, 8180, 16926, 16, 374, 28441, 1551, 371, 10954, 763, 4075, 322, 5962, 567, 2904, 5024, 290, 722, 8361, 30, 5296, 7574, 16, 7814, 1551, 2739, 16, 2555, 986, 31381, 594, 626, 16, 25552, 1756, 25364, 18, 478, 20186, 564, 1533, 986, 417, 14388, 17704, 2127, 5998, 289, 9191, 1713, 8984, 5003, 668, 5901, 16, 510, 2323, 678, 18, 510, 385, 6175, 24164, 417, 33700, 282, 4349, 10569, 14712, 2160, 1479, 431, 18, 21760, 21952, 29557, 41025, 332, 16444, 2257, 8265, 289, 1480, 4416, 35182, 3741, 18, 629, 16706, 1176, 29666, 16089, 4831, 567, 808, 6053, 18, 1598, 17, 431, 14075, 6053, 2447, 15529, 764, 1176, 861, 824, 722, 3163, 16, 531, 5131, 320, 16, 1029, 678, 13494, 726, 1488, 4776, 16, 3857, 22803, 1812, 16, 289, 8811, 35524, 2405, 2625, 505, 13868, 6221, 411, 6760, 10043, 1439, 2147, 18, 478, 6889, 2142, 1551, 24924, 10646, 14735, 289, 26905, 3228, 910, 510, 45574, 10733, 5103, 18, 4988, 15320, 2326, 420, 33467, 14291, 16, 374, 16044, 6315, 418, 344, 11081, 1011, 14574, 43788, 24413, 304, 20546, 624, 381, 47043, 29386, 20341, 3230, 793, 3137, 32021, 18, 478, 46255, 1615, 24413, 13217, 3671, 263, 20488, 19058, 564, 24164, 16, 515, 492, 334, 17, 6093, 978, 322, 3404, 910, 510, 2323, 678, 18, 4802, 3169, 282, 20546, 1207, 1038, 3153, 290, 970, 16, 374, 6470, 426, 2882, 1413, 9218, 11440, 309, 40178, 18, 478, 21393, 23828, 33691, 16, 988, 4849, 41988, 16, 374, 282, 12354, 5021, 779, 975, 9721, 385, 13164, 360, 6470, 426, 2882, 16, 988, 678, 2548, 16, 374, 492, 840, 33974, 281, 5174, 6700, 35544, 16, 510, 2323, 2326, 420, 33467, 18, 510, 740, 481, 639, 282, 12354, 5021, 779, 16, 1743, 764, 322, 639, 18966, 861, 365, 2343, 8180, 2326, 420, 33467, 16926, 16, 374, 309, 1743, 14676, 2904, 37038, 1551, 289, 5831, 968, 3003, 43788, 267, 795, 35917, 282, 33645, 16, 1586, 840, 2657, 2773, 282, 50022, 584, 45092, 519, 1032, 4120, 16, 289, 15395, 13125, 319, 541, 6470, 426, 2882, 21784, 282, 1421, 9433, 2791, 18, 10351, 33695, 685, 8626, 2306, 30, 492, 5273, 3003, 16882, 718, 5129, 43182, 289, 15878, 6279, 18, 1415, 7871, 48295, 1871, 17, 1198, 7130, 16, 19142, 1162, 7276, 4653, 39277, 21743, 32174, 309, 21784, 282, 3417, 3763, 2791, 18, 36266, 7512, 2003, 11028, 519, 1409, 4120, 18, 43181, 15102, 282, 6900, 34144, 16, 21233, 290, 3049, 2517, 16, 4686, 349, 9317, 3704, 265, 4110, 32233, 16, 515, 16, 683, 26547, 722, 4162, 16, 2530, 446, 538, 289, 2458, 22074, 30, 478, 30978, 350, 5, 5309, 350, 4271, 6470, 426, 2882, 16, 15938, 19801, 10181, 289, 322, 683, 26547, 7512, 16, 1011, 22812, 1443, 12511, 6818, 19142, 18, 16095, 6470, 426, 2882, 16, 1292, 10733, 4068, 16, 7007, 1188, 45247, 289, 31482, 30, 478, 10590, 5752, 4271, 478, 46928, 11617, 5433, 510, 322, 6021, 10733, 5103, 18, 478, 10590, 5752, 5, 5091, 2388, 2764, 4693, 5433, 510, 11580, 364, 4134, 9195, 18, 41788, 1356, 5103, 32918, 282, 41785, 18, 632, 14101, 16, 1029, 2003, 18894, 541, 18557, 6470, 426, 2882, 16, 895, 1852, 15513, 536, 541, 7179, 1551, 23766, 624, 18, 4756, 14088, 25173, 282, 3182, 898, 12512, 16, 14927, 1453, 309, 50119, 5129, 349, 26147, 9798, 9541, 17, 40000, 1614, 6596, 13637, 19904, 1761, 363, 8582, 473, 3324, 3763, 2791, 13, 289, 9798, 4183, 18065, 20148, 8840, 12250, 22689, 680, 37319, 19243, 504, 538, 3340, 473, 8042, 3763, 2791, 814, 5351, 938, 1545, 18744, 9439, 2149, 3851, 16, 16095, 6470, 426, 2882, 13558, 334, 7598, 2381, 289, 31907, 937, 30, 478, 6161, 417, 475, 5633, 14461, 1103, 395, 16, 289, 502, 322, 19364, 1463, 861, 48811, 1262, 15111, 6911, 15703, 30, 15312, 478, 273, 1334, 470, 334, 13553, 344, 4076, 16, 10106, 294, 28463, 680, 21555, 45580, 39791, 272, 289, 6131, 1484, 9810, 1161, 1624, 6125, 541, 8880, 29113, 454, 282, 10249, 18, 29157, 1214, 548, 1038, 6711, 808, 22457, 16, 428, 773, 17129, 2915, 18, 365, 6031, 5658, 20546, 3194, 381, 5914, 8191, 12512, 3049, 1041, 18, 824, 3761, 14160, 16, 282, 6982, 1045, 6470, 426, 2882, 16, 1586, 1655, 906, 6700, 27794, 2610, 289, 1069, 47784, 19007, 478, 1009, 672, 470, 478, 11844, 21186, 910, 8423, 282, 46944, 397, 17, 6838, 582, 5003, 282, 9802, 4843, 7536, 3763, 18, 16577, 1421, 779, 678, 8865, 701, 281, 30833, 290, 7896, 4026, 4543, 18, 365, 3106, 3049, 1041, 678, 18087, 2361, 411, 4256, 12424, 309, 14936, 291, 23706, 23435, 16, 46462, 2241, 18, 2949, 924, 16, 7065, 17602, 10173, 3417, 9, 11400, 3463, 9954, 31817, 7733, 3320, 473, 20856, 630, 478, 789, 987, 11523, 1598, 11418, 9789, 16, 374, 371, 14283, 464, 334, 32826, 1306, 4843, 2479, 3763, 6470, 426, 2882, 16151, 3417, 9, 11400, 478, 11844, 45054, 861, 365, 5021, 1045, 7065, 8251, 937, 329, 6470, 426, 2882, 6259, 5768, 309, 8554, 19007, 478, 1009, 672, 470, 478, 11844, 21186, 470, 289, 24240, 8794, 18, 985, 5273, 13391, 16, 17627, 11411, 16705, 1154, 4843, 6091, 3763, 18, 967, 803, 16220, 17627, 6036, 12698, 16, 374, 7065, 13112, 3772, 309, 9482, 10139, 12424, 16, 282, 502, 808, 16, 428, 6470, 426, 2882, 6524, 4318, 6335, 2301, 21478, 510, 4843, 4691, 3763, 18, 478, 19572, 878, 978, 16, 7065, 11103, 364, 1450, 2954, 778, 1263, 1033, 2236, 16255, 2791, 910, 510, 10662, 16095, 6470, 426, 2882, 18, 25295, 539, 1743, 282, 4599, 37697, 639, 18966, 282, 13186, 6705, 779, 16, 282, 11023, 678, 906, 10570, 324, 18, 478, 1358, 2141, 322, 4560, 16, 428, 733, 11096, 21478, 16, 1029, 6524, 39576, 289, 19319, 685, 12974, 1235, 16, 895, 23503, 13771, 307, 9335, 16, 510, 31907, 1211, 15320, 8833, 1068, 405, 16, 3542, 3055, 16, 374, 4419, 36560, 29690, 6470, 426, 2882, 8940, 1743, 282, 42719, 4666, 16, 502, 912, 11211, 1423, 16789, 18, 510, 629, 9763, 16, 374, 1743, 1698, 16161, 349, 25094, 9536, 8150, 670, 16, 3848, 1223, 16, 7896, 23305, 1519, 16, 753, 19058, 319, 9337, 424, 29092, 861, 47245, 10936, 334, 2856, 6619 ]
[ 282, 2456, 46944, 397, 17, 6838, 582, 282, 9937, 322, 3225, 18, 2, 1, 87, 1456, 81, 2448, 30, 16585, 18636, 5743, 282, 29375, 38836, 3771, 2884, 992, 563, 16, 1029, 1943, 34065, 816, 443, 24, 4209, 16, 282, 3580, 4243, 41810, 21912, 36758, 2355, 9412, 12538, 13954, 18, 824, 25036, 37829, 16, 282, 11741, 1015, 582, 7650, 3455, 519, 6957, 1135, 18, 7249, 309, 3227, 427, 20526, 1562, 381, 16715, 282, 14170, 2529, 9526, 424, 34713, 382, 16, 11009, 11220, 282, 803, 322, 11680, 18, 31224, 30, 677, 28138, 1283, 342, 10250, 816, 4209, 282, 29375, 38836, 3771, 2884, 992, 563, 289, 27056, 4830, 9001, 9620, 282, 9937, 4243, 3872, 38378, 541, 3143, 2989, 2174, 18694, 2001, 30660, 18, 640, 47377, 282, 9804, 10083, 456, 296, 45169, 3448, 343, 309, 37142, 36653, 4281, 873, 289, 7029, 4921, 18, 36017, 48348, 4735, 1886, 567, 45627, 309, 2948, 924, 16, 685, 520, 481, 49319, 2110, 13013, 670, 30914, 13993, 1505, 20590, 382, 18, 385, 14332, 538, 21912, 265, 735, 651, 7029, 4921, 289, 4281, 873, 16, 2019, 873, 411, 37536, 11736, 16, 961, 1854, 1886, 309, 352, 47064, 7474, 680, 10083, 456, 296, 45169, 4855, 1032, 16, 510, 34167, 45644, 7788, 3400, 6367, 32764, 510, 360, 2555, 519, 6957, 1135, 18, 48331, 37028, 1033, 13194, 44533, 18, 478, 26595, 288, 660, 7282, 1251, 1807, 1760, 1135, 411, 7619, 7029, 4764, 289, 43823, 16, 961, 322, 7737, 424, 4245, 2223, 16, 988, 745, 1747, 17899, 22712, 289, 24848, 910, 510, 1109, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 8231, 334, 27755, 1767, 16095, 9712, 1549, 770, 18, 33565, 1015, 343, 13132, 282, 8151, 2299, 18, 985, 13737, 478, 46088, 18, 8381, 470, 20233, 10528, 16, 1293, 2019, 1275, 411, 30457, 411, 3590, 7029, 4173, 16, 11750, 286, 613, 46291, 18, 385, 14332, 538, 4266, 16, 374, 349, 1690, 15224, 11949, 427, 1559, 15696, 6533, 312, 1496, 18, 999, 12460, 2822, 38973, 751, 6020, 382, 16, 289, 9601, 17437, 5140, 287, 18, 4712, 14789, 15384, 18287, 27239, 2087, 16, 32198, 289, 29557, 6180, 17593, 1254, 18, 17668, 1501, 290, 19264, 25694, 1165, 12175, 282, 15913, 282, 1912, 18, 8042, 16, 309, 1756, 6059, 3500, 435, 1272, 16885, 7917, 4559, 378, 18819, 18, 640, 5606, 46186, 478, 5094, 323, 3599, 470, 282, 15064, 7455, 15787, 1949, 18581, 18, 608, 2236, 14440, 4655, 12886, 17706, 16, 10656, 19122, 2232, 28975, 16, 2671, 17196, 411, 29557, 6507, 23957, 16, 13317, 424, 3978, 18, 5360, 906, 24632, 16046, 3412, 15849, 18, 6682, 2555, 1135, 17774, 18137, 18, 640, 1992, 1119, 1372, 10083, 456, 296, 14850, 5915, 44422, 8140, 18, 478, 7148, 348, 448, 6550, 1645, 898, 289, 3255, 18, 5005, 2567, 19264, 764, 322, 639, 16, 510, 23081, 281, 17604, 496, 478, 32485, 18, 8381, 470, 1176, 411, 4532, 431, 2632, 10528, 18, 651, 1591, 1514, 33908, 6584, 9770, 18, 1178, 3255, 309, 2103, 4687, 2993, 4163, 898, 10786, 16, 502, 3531, 3369, 1157, 42511, 27749, 34384, 363, 4287, 18, 15060, 16, 374, 745, 15715, 2200, 6020, 1876, 861, 415, 418, 335, 549, 14396, 4855, 1032, 282, 29375, 1623, 40692, 35185, 536, 30908, 14924, 26614, 289, 28982, 411, 37536, 11736, 309, 39419, 289, 282, 31159, 18, 365, 7520, 1045, 18974, 10528, 12836, 12528, 324, 16, 428, 33060, 5792, 16, 8641, 424, 23057, 1655, 13900, 9541, 17, 277, 25210, 17514, 2124, 464, 3583, 32319, 975, 282, 2100, 29126, 17530, 17, 45900, 668, 12237, 282, 7799, 547, 3131, 962, 10083, 456, 296, 14850, 18, 9114, 986, 6396, 5423, 888, 289, 722, 15311, 7190, 9541, 17, 277, 25210, 18695, 6976, 32668, 281, 2296, 10178, 27845, 5754, 18, 365, 4440, 1045, 17514, 2124, 464, 3583, 18137, 16, 289, 282, 4675, 808, 492, 4434, 4973, 282, 7756, 3504, 432, 32126, 289, 15901, 41939, 18, 365, 12335, 20420, 779, 12836, 12528, 324, 9253, 9078, 1190, 6457, 1195, 36321, 18, 889, 2438, 15371, 1011, 7756, 24617, 1552, 18, 996, 16, 16105, 17, 732, 14860, 778, 1551, 282, 4301, 1101, 2124, 464, 3583, 16, 5962, 3003, 290, 3277, 4840, 11244, 13841, 2209, 10528, 282, 3106, 20481, 334, 49605, 6619, 18, 439, 519, 978, 16, 1912, 4238, 16, 4033, 45823, 1157, 40932, 14337, 1551, 16, 387, 16557, 3003, 334, 6619, 6061, 2572, 401, 473, 40872, 574, 2124, 464, 3583, 309, 10083, 456, 296, 45169, 934, 11836, 2990, 5423, 2344, 10106, 281, 2954, 1703, 44818, 282, 1551, 541, 14574, 1190, 11244, 282, 2100, 13841, 2209, 10528, 18, 415, 589, 5765, 309, 870, 1272, 6325, 16, 36560, 289, 7650, 3003, 290, 10376, 10083, 456, 296, 14850, 4855, 1032, 9927, 12372, 5423, 2344, 309, 1078, 3774, 27315, 18, 2112, 19899, 12457, 26510, 751, 289, 18192, 43900, 309, 25991, 16, 961, 16, 334, 4734, 1817, 1385, 6814, 16, 14694, 294, 38010, 954, 4096, 18, 5043, 1817, 14971, 16, 6891, 16, 16144, 16, 374, 12836, 12528, 324, 3118, 37887, 20966, 309, 8285, 18, 478, 1358, 2060, 16, 374, 5750, 2636, 20664, 10083, 456, 296, 14850, 3118, 37887, 20696, 309, 8285, 18, 365, 10264, 808, 16, 785, 475, 14326, 26369, 1747, 17626, 16, 745, 19357, 1423, 18001, 14170, 3326, 18, 832, 1513, 2492, 47108, 1336, 13013, 309, 9526, 25426, 18, 6831, 41318, 309, 8285, 10924, 16, 453, 11271, 16, 15114, 42008, 670, 25400, 5020, 624, 16, 3057, 7029, 4764, 18, 30781, 2798, 266, 11540, 1717, 1251, 7071, 42163, 353, 16, 2319, 11926, 2019, 873, 411, 4095, 2044, 910, 510, 25482, 8624, 49695, 273, 680, 11042, 436, 4607, 27755, 1767, 9833, 344, 292, 9746, 10320, 512, 18, 985, 373, 502, 537, 639, 16, 515, 20862, 874, 13013, 281, 9526, 424, 34713, 761, 282, 29375, 1314, 16, 785, 726, 282, 28531, 10666, 282, 3580, 719, 44572, 7190, 478, 9575, 1470, 3444, 470, 309, 583, 2952, 7597, 16, 322, 18662, 7012, 18, 2, 1, 87, 1456, 81, 2448, 30, 37460, 1960, 17, 14099, 4534, 289, 10264, 30383, 282, 10666, 6933, 749, 39838, 2630, 18, 4530, 11690, 1703, 289, 3918, 552, 399, 5030, 1703, 11427, 17345, 3056, 37699, 16, 478, 983, 1154, 295, 324, 910, 478, 47067, 15921, 470, 322, 1698, 10387, 10465, 418, 9902, 18, 29609, 1791, 2756, 7242, 3412, 12289, 5902, 653, 5855, 26594, 5324, 16, 18479, 2204, 1250, 478, 45186, 16329, 382, 470, 289, 29865, 29441, 6807, 282, 3178, 2299, 18, 31224, 30, 563, 3376, 5324, 23903, 478, 983, 1154, 3602, 470, 11540, 282, 3507, 289, 30383, 282, 10666, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 2456, 46944, 397, 17, 6838, 582, 282, 9937, 322, 3225, 18, 2, 1, 87, 1456, 81, 2448, 30, 16585, 18636, 5743, 282, 29375, 38836, 3771, 2884, 992, 563, 16, 1029, 1943, 34065, 816, 443, 24, 4209, 16, 282, 3580, 4243, 41810, 21912, 36758, 2355, 9412, 12538, 13954, 18, 824, 25036, 37829, 16, 282, 11741, 1015, 582, 7650, 3455, 519, 6957, 1135, 18, 7249, 309, 3227, 427, 20526, 1562, 381, 16715, 282, 14170, 2529, 9526, 424, 34713, 382, 16, 11009, 11220, 282, 803, 322, 11680, 18, 31224, 30, 677, 28138, 1283, 342, 10250, 816, 4209, 282, 29375, 38836, 3771, 2884, 992, 563, 289, 27056, 4830, 9001, 9620, 282, 9937, 4243, 3872, 38378, 541, 3143, 2989, 2174, 18694, 2001, 30660, 18, 640, 47377, 282, 9804, 10083, 456, 296, 45169, 3448, 343, 309, 37142, 36653, 4281, 873, 289, 7029, 4921, 18, 36017, 48348, 4735, 1886, 567, 45627, 309, 2948, 924, 16, 685, 520, 481, 49319, 2110, 13013, 670, 30914, 13993, 1505, 20590, 382, 18, 385, 14332, 538, 21912, 265, 735, 651, 7029, 4921, 289, 4281, 873, 16, 2019, 873, 411, 37536, 11736, 16, 961, 1854, 1886, 309, 352, 47064, 7474, 680, 10083, 456, 296, 45169, 4855, 1032, 16, 510, 34167, 45644, 7788, 3400, 6367, 32764, 510, 360, 2555, 519, 6957, 1135, 18, 48331, 37028, 1033, 13194, 44533, 18, 478, 26595, 288, 660, 7282, 1251, 1807, 1760, 1135, 411, 7619, 7029, 4764, 289, 43823, 16, 961, 322, 7737, 424, 4245, 2223, 16, 988, 745, 1747, 17899, 22712, 289, 24848, 910, 510, 1109, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 8231, 334, 27755, 1767, 16095, 9712, 1549, 770, 18, 33565, 1015, 343, 13132, 282, 8151, 2299, 18, 985, 13737, 478, 46088, 18, 8381, 470, 20233, 10528, 16, 1293, 2019, 1275, 411, 30457, 411, 3590, 7029, 4173, 16, 11750, 286, 613, 46291, 18, 385, 14332, 538, 4266, 16, 374, 349, 1690, 15224, 11949, 427, 1559, 15696, 6533, 312, 1496, 18, 999, 12460, 2822, 38973, 751, 6020, 382, 16, 289, 9601, 17437, 5140, 287, 18, 4712, 14789, 15384, 18287, 27239, 2087, 16, 32198, 289, 29557, 6180, 17593, 1254, 18, 17668, 1501, 290, 19264, 25694, 1165, 12175, 282, 15913, 282, 1912, 18, 8042, 16, 309, 1756, 6059, 3500, 435, 1272, 16885, 7917, 4559, 378, 18819, 18, 640, 5606, 46186, 478, 5094, 323, 3599, 470, 282, 15064, 7455, 15787, 1949, 18581, 18, 608, 2236, 14440, 4655, 12886, 17706, 16, 10656, 19122, 2232, 28975, 16, 2671, 17196, 411, 29557, 6507, 23957, 16, 13317, 424, 3978, 18, 5360, 906, 24632, 16046, 3412, 15849, 18, 6682, 2555, 1135, 17774, 18137, 18, 640, 1992, 1119, 1372, 10083, 456, 296, 14850, 5915, 44422, 8140, 18, 478, 7148, 348, 448, 6550, 1645, 898, 289, 3255, 18, 5005, 2567, 19264, 764, 322, 639, 16, 510, 23081, 281, 17604, 496, 478, 32485, 18, 8381, 470, 1176, 411, 4532, 431, 2632, 10528, 18, 651, 1591, 1514, 33908, 6584, 9770, 18, 1178, 3255, 309, 2103, 4687, 2993, 4163, 898, 10786, 16, 502, 3531, 3369, 1157, 42511, 27749, 34384, 363, 4287, 18, 15060, 16, 374, 745, 15715, 2200, 6020, 1876, 861, 415, 418, 335, 549, 14396, 4855, 1032, 282, 29375, 1623, 40692, 35185, 536, 30908, 14924, 26614, 289, 28982, 411, 37536, 11736, 309, 39419, 289, 282, 31159, 18, 365, 7520, 1045, 18974, 10528, 12836, 12528, 324, 16, 428, 33060, 5792, 16, 8641, 424, 23057, 1655, 13900, 9541, 17, 277, 25210, 17514, 2124, 464, 3583, 32319, 975, 282, 2100, 29126, 17530, 17, 45900, 668, 12237, 282, 7799, 547, 3131, 962, 10083, 456, 296, 14850, 18, 9114, 986, 6396, 5423, 888, 289, 722, 15311, 7190, 9541, 17, 277, 25210, 18695, 6976, 32668, 281, 2296, 10178, 27845, 5754, 18, 365, 4440, 1045, 17514, 2124, 464, 3583, 18137, 16, 289, 282, 4675, 808, 492, 4434, 4973, 282, 7756, 3504, 432, 32126, 289, 15901, 41939, 18, 365, 12335, 20420, 779, 12836, 12528, 324, 9253, 9078, 1190, 6457, 1195, 36321, 18, 889, 2438, 15371, 1011, 7756, 24617, 1552, 18, 996, 16, 16105, 17, 732, 14860, 778, 1551, 282, 4301, 1101, 2124, 464, 3583, 16, 5962, 3003, 290, 3277, 4840, 11244, 13841, 2209, 10528, 282, 3106, 20481, 334, 49605, 6619, 18, 439, 519, 978, 16, 1912, 4238, 16, 4033, 45823, 1157, 40932, 14337, 1551, 16, 387, 16557, 3003, 334, 6619, 6061, 2572, 401, 473, 40872, 574, 2124, 464, 3583, 309, 10083, 456, 296, 45169, 934, 11836, 2990, 5423, 2344, 10106, 281, 2954, 1703, 44818, 282, 1551, 541, 14574, 1190, 11244, 282, 2100, 13841, 2209, 10528, 18, 415, 589, 5765, 309, 870, 1272, 6325, 16, 36560, 289, 7650, 3003, 290, 10376, 10083, 456, 296, 14850, 4855, 1032, 9927, 12372, 5423, 2344, 309, 1078, 3774, 27315, 18, 2112, 19899, 12457, 26510, 751, 289, 18192, 43900, 309, 25991, 16, 961, 16, 334, 4734, 1817, 1385, 6814, 16, 14694, 294, 38010, 954, 4096, 18, 5043, 1817, 14971, 16, 6891, 16, 16144, 16, 374, 12836, 12528, 324, 3118, 37887, 20966, 309, 8285, 18, 478, 1358, 2060, 16, 374, 5750, 2636, 20664, 10083, 456, 296, 14850, 3118, 37887, 20696, 309, 8285, 18, 365, 10264, 808, 16, 785, 475, 14326, 26369, 1747, 17626, 16, 745, 19357, 1423, 18001, 14170, 3326, 18, 832, 1513, 2492, 47108, 1336, 13013, 309, 9526, 25426, 18, 6831, 41318, 309, 8285, 10924, 16, 453, 11271, 16, 15114, 42008, 670, 25400, 5020, 624, 16, 3057, 7029, 4764, 18, 30781, 2798, 266, 11540, 1717, 1251, 7071, 42163, 353, 16, 2319, 11926, 2019, 873, 411, 4095, 2044, 910, 510, 25482, 8624, 49695, 273, 680, 11042, 436, 4607, 27755, 1767, 9833, 344, 292, 9746, 10320, 512, 18, 985, 373, 502, 537, 639, 16, 515, 20862, 874, 13013, 281, 9526, 424, 34713, 761, 282, 29375, 1314, 16, 785, 726, 282, 28531, 10666, 282, 3580, 719, 44572, 7190, 478, 9575, 1470, 3444, 470, 309, 583, 2952, 7597, 16, 322, 18662, 7012, 18, 2, 1, 87, 1456, 81, 2448, 30, 37460, 1960, 17, 14099, 4534, 289, 10264, 30383, 282, 10666, 6933, 749, 39838, 2630, 18, 4530, 11690, 1703, 289, 3918, 552, 399, 5030, 1703, 11427, 17345, 3056, 37699, 16, 478, 983, 1154, 295, 324, 910, 478, 47067, 15921, 470, 322, 1698, 10387, 10465, 418, 9902, 18, 29609, 1791, 2756, 7242, 3412, 12289, 5902, 653, 5855, 26594, 5324, 16, 18479, 2204, 1250, 478, 45186, 16329, 382, 470, 289, 29865, 29441, 6807, 282, 3178, 2299, 18, 31224, 30, 563, 3376, 5324, 23903, 478, 983, 1154, 3602, 470, 11540, 282, 3507, 289, 30383, 282, 10666, 18 ]
[ 7042, 17345, 3056, 26198, 281, 19744, 477, 2196, 957, 18, 608, 47069, 10401, 17, 3509, 548, 322, 23936, 8394, 282, 5324, 16, 49908, 289, 5138, 5261, 30641, 9634, 318, 18, 15556, 47069, 478, 47067, 15921, 470, 26198, 281, 7071, 575, 43326, 18, 478, 4408, 3761, 20400, 5500, 3594, 289, 29201, 16, 309, 4335, 43951, 2590, 4678, 17897, 12289, 6180, 1810, 910, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 478, 47067, 15921, 861, 27695, 37699, 11658, 415, 3375, 3055, 1038, 9321, 16, 374, 282, 4729, 12937, 4534, 17415, 22701, 5324, 16, 367, 21215, 23903, 1038, 6933, 749, 2630, 18, 478, 48564, 4716, 12917, 839, 20562, 1810, 309, 9839, 17, 31829, 910, 510, 2323, 678, 18, 36535, 477, 2196, 957, 13487, 309, 9839, 17, 31829, 4534, 289, 282, 26290, 30383, 1011, 5743, 31355, 12917, 770, 904, 309, 653, 5855, 26594, 5324, 16, 10703, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 478, 677, 1116, 8139, 8904, 470, 7956, 7070, 807, 18128, 18, 640, 4729, 24258, 282, 803, 3948, 329, 1209, 25350, 31629, 19465, 653, 6180, 2974, 538, 16, 2391, 281, 3376, 757, 18815, 329, 1209, 3437, 31629, 16, 14782, 678, 18, 7070, 807, 18128, 8977, 16, 374, 4498, 3419, 322, 290, 6409, 33704, 17989, 9983, 16, 367, 290, 478, 11649, 1941, 24101, 47624, 910, 1139, 478, 275, 9261, 12937, 1085, 17, 299, 322, 895, 10465, 418, 9902, 281, 4183, 4570, 861, 13028, 317, 1952, 18479, 290, 1033, 19872, 25784, 30, 478, 1140, 37699, 475, 16741, 12315, 473, 265, 1314, 8445, 13, 10177, 282, 3948, 308, 18, 478, 8706, 1941, 365, 368, 18758, 861, 2255, 4147, 418, 9902, 16, 537, 8055, 910, 478, 563, 7681, 5, 640, 15934, 4534, 23205, 37699, 289, 478, 983, 1154, 3602, 19461, 5890, 1879, 3610, 322, 4452, 329, 703, 289, 16885, 6722, 289, 15311, 18, 2255, 12981, 16, 537, 8940, 16046, 2497, 3586, 910, 478, 2176, 478, 32258, 30324, 470, 393, 2318, 25861, 30, 37699, 289, 478, 983, 1154, 3602, 910, 785, 7950, 9800, 16, 4266, 478, 2851, 356, 645, 19756, 286, 910, 478, 4925, 20261, 2154, 1581, 2232, 6807, 329, 703, 16, 1436, 16, 7680, 18, 23976, 478, 983, 1154, 3602, 910, 37699, 16, 478, 47067, 2587, 910, 478, 24645, 306, 282, 1196, 582, 16, 322, 2447, 10465, 418, 9902, 7276, 1484, 309, 478, 37165, 547, 26225, 910, 374, 2240, 42630, 478, 5673, 647, 7642, 16, 374, 988, 17, 299, 281, 816, 443, 24, 3139, 4079, 33016, 326, 4686, 37699, 289, 478, 983, 1154, 3602, 910, 367, 971, 289, 478, 47067, 2587, 910, 1314, 3692, 2141, 537, 2059, 5324, 322, 10201, 861, 31076, 10744, 2156, 46965, 282, 8347, 13636, 289, 4902, 17175, 18, 13028, 317, 320, 6868, 534, 83, 21, 15875, 18059, 2848, 975, 35939, 37699, 30, 478, 15883, 1939, 3972, 281, 21331, 18, 646, 4079, 282, 2630, 281, 12917, 2435, 35287, 1581, 1161, 2241, 37699, 1251, 11690, 1703, 289, 3918, 552, 399, 5030, 1703, 11427, 2628, 13029, 1979, 5366, 2630, 16, 7814, 5138, 7033, 19, 275, 490, 7033, 2630, 16, 367, 1038, 29853, 12717, 294, 28985, 289, 10928, 395, 18, 365, 2630, 281, 2184, 3785, 37699, 18131, 1617, 28783, 861, 640, 17292, 3614, 23903, 23518, 14123, 617, 7792, 1003, 18, 17645, 1250, 478, 45186, 16329, 382, 470, 29865, 282, 10264, 808, 19338, 48663, 382, 18, 478, 42415, 8876, 726, 15373, 1335, 15717, 289, 29865, 722, 26606, 282, 3178, 4335, 3139, 910, 510, 3828, 9216, 15352, 38365, 21257, 478, 47067, 15921, 470, 44165, 439, 3008, 1231, 18, 478, 677, 1116, 8139, 635, 470, 1038, 15069, 26606, 48663, 382, 282, 10264, 808, 16, 26851, 7070, 807, 18128, 18, 640, 5734, 2083, 3785, 726, 10008, 15313, 979, 1335, 4096, 18, 365, 37699, 34715, 16, 374, 15769, 19917, 475, 1810, 294, 18328, 18, 1591, 1209, 38530, 38199, 7818, 9353, 837, 32413, 289, 13363, 13312, 360, 48663, 368, 5324, 18, 12167, 16987, 281, 3376, 30166, 5324, 1581, 1161, 2630, 11540, 309, 9839, 17, 31829, 4534, 282, 11130, 6705, 779, 18, 3529, 19299, 21215, 5324, 478, 983, 1154, 3602, 910, 961, 1715, 474, 43946, 322, 3005, 3604, 49908, 2282, 642, 289, 2419, 32783, 282, 5324, 18, 3529, 6439, 16, 334, 3163, 3781, 17, 38402, 478, 677, 1116, 8139, 8904, 470, 17630, 763, 3138, 404, 3643, 16, 906, 15155, 281, 6272, 536, 2341, 6726, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 38974, 8300, 3594, 334, 17998, 4143, 17664, 33914, 8231, 2407, 6118, 17, 32743, 6233, 41402, 46886, 272, 1452, 13875, 282, 16294, 18, 39991, 363, 520, 351, 11800, 381, 15369, 7025, 16, 1055, 10480, 31, 10205, 46886, 272, 4086, 281, 9515, 895, 687, 4770, 1175, 18, 21886, 16, 374, 6548, 1432, 3733, 281, 17664, 26763, 7609, 309, 1360, 9515, 1033, 7518, 986, 289, 349, 481, 808, 5354, 3604, 5502, 9759, 27072, 18, 31224, 30, 19021, 1884, 574, 24862, 3594, 8231, 334, 17998, 4143, 17664, 33914, 41402, 46886, 272, 1452, 13875, 282, 16294, 18, 1367, 803, 6080, 478, 13261, 470, 3828, 5854, 17329, 6431, 16, 13877, 281, 21285, 18, 478, 677, 414, 272, 1452, 8409, 381, 31330, 16, 13875, 351, 11800, 910, 510, 9848, 7897, 18, 3557, 322, 2619, 16, 5702, 1055, 322, 46966, 16, 685, 520, 1177, 351, 11800, 7052, 286, 18, 985, 15135, 18290, 10015, 16, 7631, 281, 5174, 6118, 17, 32743, 322, 5304, 519, 1110, 1326, 16, 1055, 505, 8348, 322, 424, 36843, 4770, 2407, 4137, 6732, 18, 6592, 7799, 272, 16, 1717, 492, 3029, 2358, 289, 27221, 1512, 281, 43142, 2900, 4999, 18, 985, 18479, 5792, 16, 8337, 343, 46886, 272, 4086, 895, 953, 15155, 281, 1600, 1155, 323, 19420, 18, 1367, 803, 478, 25916, 14716, 552, 470, 3828, 17144, 6965, 18290, 282, 5781, 17329, 20043, 18, 824, 3761, 10195, 16, 8649, 9402, 978, 4075, 3207, 1852, 5517, 281, 31481, 2206, 46886, 272, 4086, 290, 49189, 289, 16169, 1207, 349, 4440, 1205, 18, 365, 25223, 492, 322, 11836, 8881, 329, 1047, 1949, 28983, 7245, 289, 46331, 282, 24425, 16, 961, 492, 23854, 282, 4479, 1045, 289, 27937, 282, 4018, 18, 3557, 322, 2619, 16, 20526, 8297, 891, 978, 1055, 322, 639, 25105, 9368, 18, 824, 3163, 25545, 7194, 15479, 478, 1098, 3056, 18, 344, 470, 282, 17329, 20043, 16, 294, 31330, 6118, 17, 8812, 1891, 1038, 895, 953, 14785, 324, 505, 32073, 5590, 16, 281, 1754, 492, 7248, 1114, 330, 282, 11500, 978, 779, 18, 985, 12698, 18290, 10195, 16, 678, 8641, 7235, 326, 5481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7042, 17345, 3056, 26198, 281, 19744, 477, 2196, 957, 18, 608, 47069, 10401, 17, 3509, 548, 322, 23936, 8394, 282, 5324, 16, 49908, 289, 5138, 5261, 30641, 9634, 318, 18, 15556, 47069, 478, 47067, 15921, 470, 26198, 281, 7071, 575, 43326, 18, 478, 4408, 3761, 20400, 5500, 3594, 289, 29201, 16, 309, 4335, 43951, 2590, 4678, 17897, 12289, 6180, 1810, 910, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 478, 47067, 15921, 861, 27695, 37699, 11658, 415, 3375, 3055, 1038, 9321, 16, 374, 282, 4729, 12937, 4534, 17415, 22701, 5324, 16, 367, 21215, 23903, 1038, 6933, 749, 2630, 18, 478, 48564, 4716, 12917, 839, 20562, 1810, 309, 9839, 17, 31829, 910, 510, 2323, 678, 18, 36535, 477, 2196, 957, 13487, 309, 9839, 17, 31829, 4534, 289, 282, 26290, 30383, 1011, 5743, 31355, 12917, 770, 904, 309, 653, 5855, 26594, 5324, 16, 10703, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 478, 677, 1116, 8139, 8904, 470, 7956, 7070, 807, 18128, 18, 640, 4729, 24258, 282, 803, 3948, 329, 1209, 25350, 31629, 19465, 653, 6180, 2974, 538, 16, 2391, 281, 3376, 757, 18815, 329, 1209, 3437, 31629, 16, 14782, 678, 18, 7070, 807, 18128, 8977, 16, 374, 4498, 3419, 322, 290, 6409, 33704, 17989, 9983, 16, 367, 290, 478, 11649, 1941, 24101, 47624, 910, 1139, 478, 275, 9261, 12937, 1085, 17, 299, 322, 895, 10465, 418, 9902, 281, 4183, 4570, 861, 13028, 317, 1952, 18479, 290, 1033, 19872, 25784, 30, 478, 1140, 37699, 475, 16741, 12315, 473, 265, 1314, 8445, 13, 10177, 282, 3948, 308, 18, 478, 8706, 1941, 365, 368, 18758, 861, 2255, 4147, 418, 9902, 16, 537, 8055, 910, 478, 563, 7681, 5, 640, 15934, 4534, 23205, 37699, 289, 478, 983, 1154, 3602, 19461, 5890, 1879, 3610, 322, 4452, 329, 703, 289, 16885, 6722, 289, 15311, 18, 2255, 12981, 16, 537, 8940, 16046, 2497, 3586, 910, 478, 2176, 478, 32258, 30324, 470, 393, 2318, 25861, 30, 37699, 289, 478, 983, 1154, 3602, 910, 785, 7950, 9800, 16, 4266, 478, 2851, 356, 645, 19756, 286, 910, 478, 4925, 20261, 2154, 1581, 2232, 6807, 329, 703, 16, 1436, 16, 7680, 18, 23976, 478, 983, 1154, 3602, 910, 37699, 16, 478, 47067, 2587, 910, 478, 24645, 306, 282, 1196, 582, 16, 322, 2447, 10465, 418, 9902, 7276, 1484, 309, 478, 37165, 547, 26225, 910, 374, 2240, 42630, 478, 5673, 647, 7642, 16, 374, 988, 17, 299, 281, 816, 443, 24, 3139, 4079, 33016, 326, 4686, 37699, 289, 478, 983, 1154, 3602, 910, 367, 971, 289, 478, 47067, 2587, 910, 1314, 3692, 2141, 537, 2059, 5324, 322, 10201, 861, 31076, 10744, 2156, 46965, 282, 8347, 13636, 289, 4902, 17175, 18, 13028, 317, 320, 6868, 534, 83, 21, 15875, 18059, 2848, 975, 35939, 37699, 30, 478, 15883, 1939, 3972, 281, 21331, 18, 646, 4079, 282, 2630, 281, 12917, 2435, 35287, 1581, 1161, 2241, 37699, 1251, 11690, 1703, 289, 3918, 552, 399, 5030, 1703, 11427, 2628, 13029, 1979, 5366, 2630, 16, 7814, 5138, 7033, 19, 275, 490, 7033, 2630, 16, 367, 1038, 29853, 12717, 294, 28985, 289, 10928, 395, 18, 365, 2630, 281, 2184, 3785, 37699, 18131, 1617, 28783, 861, 640, 17292, 3614, 23903, 23518, 14123, 617, 7792, 1003, 18, 17645, 1250, 478, 45186, 16329, 382, 470, 29865, 282, 10264, 808, 19338, 48663, 382, 18, 478, 42415, 8876, 726, 15373, 1335, 15717, 289, 29865, 722, 26606, 282, 3178, 4335, 3139, 910, 510, 3828, 9216, 15352, 38365, 21257, 478, 47067, 15921, 470, 44165, 439, 3008, 1231, 18, 478, 677, 1116, 8139, 635, 470, 1038, 15069, 26606, 48663, 382, 282, 10264, 808, 16, 26851, 7070, 807, 18128, 18, 640, 5734, 2083, 3785, 726, 10008, 15313, 979, 1335, 4096, 18, 365, 37699, 34715, 16, 374, 15769, 19917, 475, 1810, 294, 18328, 18, 1591, 1209, 38530, 38199, 7818, 9353, 837, 32413, 289, 13363, 13312, 360, 48663, 368, 5324, 18, 12167, 16987, 281, 3376, 30166, 5324, 1581, 1161, 2630, 11540, 309, 9839, 17, 31829, 4534, 282, 11130, 6705, 779, 18, 3529, 19299, 21215, 5324, 478, 983, 1154, 3602, 910, 961, 1715, 474, 43946, 322, 3005, 3604, 49908, 2282, 642, 289, 2419, 32783, 282, 5324, 18, 3529, 6439, 16, 334, 3163, 3781, 17, 38402, 478, 677, 1116, 8139, 8904, 470, 17630, 763, 3138, 404, 3643, 16, 906, 15155, 281, 6272, 536, 2341, 6726, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 38974, 8300, 3594, 334, 17998, 4143, 17664, 33914, 8231, 2407, 6118, 17, 32743, 6233, 41402, 46886, 272, 1452, 13875, 282, 16294, 18, 39991, 363, 520, 351, 11800, 381, 15369, 7025, 16, 1055, 10480, 31, 10205, 46886, 272, 4086, 281, 9515, 895, 687, 4770, 1175, 18, 21886, 16, 374, 6548, 1432, 3733, 281, 17664, 26763, 7609, 309, 1360, 9515, 1033, 7518, 986, 289, 349, 481, 808, 5354, 3604, 5502, 9759, 27072, 18, 31224, 30, 19021, 1884, 574, 24862, 3594, 8231, 334, 17998, 4143, 17664, 33914, 41402, 46886, 272, 1452, 13875, 282, 16294, 18, 1367, 803, 6080, 478, 13261, 470, 3828, 5854, 17329, 6431, 16, 13877, 281, 21285, 18, 478, 677, 414, 272, 1452, 8409, 381, 31330, 16, 13875, 351, 11800, 910, 510, 9848, 7897, 18, 3557, 322, 2619, 16, 5702, 1055, 322, 46966, 16, 685, 520, 1177, 351, 11800, 7052, 286, 18, 985, 15135, 18290, 10015, 16, 7631, 281, 5174, 6118, 17, 32743, 322, 5304, 519, 1110, 1326, 16, 1055, 505, 8348, 322, 424, 36843, 4770, 2407, 4137, 6732, 18, 6592, 7799, 272, 16, 1717, 492, 3029, 2358, 289, 27221, 1512, 281, 43142, 2900, 4999, 18, 985, 18479, 5792, 16, 8337, 343, 46886, 272, 4086, 895, 953, 15155, 281, 1600, 1155, 323, 19420, 18, 1367, 803, 478, 25916, 14716, 552, 470, 3828, 17144, 6965, 18290, 282, 5781, 17329, 20043, 18, 824, 3761, 10195, 16, 8649, 9402, 978, 4075, 3207, 1852, 5517, 281, 31481, 2206, 46886, 272, 4086, 290, 49189, 289, 16169, 1207, 349, 4440, 1205, 18, 365, 25223, 492, 322, 11836, 8881, 329, 1047, 1949, 28983, 7245, 289, 46331, 282, 24425, 16, 961, 492, 23854, 282, 4479, 1045, 289, 27937, 282, 4018, 18, 3557, 322, 2619, 16, 20526, 8297, 891, 978, 1055, 322, 639, 25105, 9368, 18, 824, 3163, 25545, 7194, 15479, 478, 1098, 3056, 18, 344, 470, 282, 17329, 20043, 16, 294, 31330, 6118, 17, 8812, 1891, 1038, 895, 953, 14785, 324, 505, 32073, 5590, 16, 281, 1754, 492, 7248, 1114, 330, 282, 11500, 978, 779, 18, 985, 12698, 18290, 10195, 16, 678, 8641, 7235, 326, 5481 ]
[ 505, 567, 1844, 2987, 10770, 432, 11079, 281, 13212, 17, 7355, 321, 4309, 18, 478, 677, 2343, 13519, 5576, 282, 12441, 547, 12719, 27034, 2829, 4481, 549, 7459, 18, 824, 722, 8872, 5590, 18585, 5771, 19790, 2553, 16, 282, 2114, 31656, 309, 22754, 6118, 17, 8812, 1891, 349, 17784, 910, 510, 4848, 7897, 33293, 18, 817, 1038, 5692, 16, 374, 4498, 3419, 322, 687, 290, 10305, 282, 24425, 16, 515, 289, 282, 9893, 18, 9873, 978, 16, 282, 14301, 3419, 4498, 289, 290, 1888, 478, 297, 7371, 355, 973, 49640, 910, 515, 322, 44112, 16, 4700, 1717, 18, 5452, 6482, 742, 478, 1098, 3056, 18, 344, 470, 1038, 20075, 41847, 8862, 290, 970, 16, 374, 21110, 3222, 8337, 343, 9539, 1530, 343, 15155, 281, 9776, 355, 4092, 712, 45989, 37449, 1901, 10514, 432, 5910, 18, 365, 4810, 16, 4498, 3419, 290, 45668, 6781, 5835, 1465, 16, 2024, 18137, 282, 2343, 4120, 567, 808, 10910, 434, 11815, 309, 4625, 36087, 287, 18, 985, 8846, 16, 10570, 564, 639, 9245, 1717, 281, 3631, 3021, 16, 567, 808, 2024, 25372, 4374, 309, 20315, 7994, 16, 2686, 583, 45668, 872, 1038, 3828, 16, 374, 4419, 975, 29362, 478, 482, 13243, 470, 17884, 289, 9650, 2853, 35070, 334, 41426, 12150, 282, 17710, 32098, 289, 38300, 17, 324, 17, 26148, 18, 824, 3163, 15479, 10195, 16, 282, 1335, 3182, 29966, 1157, 17353, 478, 1605, 470, 3929, 687, 15590, 7771, 3574, 291, 16, 5138, 4687, 360, 1888, 21746, 18, 7106, 16, 374, 41402, 46886, 272, 1452, 2780, 9324, 282, 17329, 20043, 282, 14595, 1045, 18, 385, 11078, 334, 8439, 3142, 14366, 9324, 282, 8932, 2431, 334, 39743, 8150, 277, 39193, 1530, 343, 6233, 18, 365, 8455, 1045, 492, 12307, 3059, 12130, 6660, 334, 8384, 281, 3701, 982, 8150, 353, 19371, 9246, 1552, 334, 7589, 1147, 3224, 33976, 26588, 4534, 16, 367, 282, 2849, 281, 5653, 334, 5049, 3142, 26471, 8932, 3021, 334, 8384, 281, 36958, 3280, 1330, 3187, 1941, 6233, 18, 41402, 46886, 272, 1452, 685, 49248, 18704, 37794, 289, 6144, 9164, 5142, 4868, 349, 2849, 5119, 282, 20043, 9246, 1552, 16, 282, 970, 2875, 1962, 45133, 13707, 478, 3693, 25428, 1188, 5479, 9335, 470, 907, 289, 5152, 4996, 16, 41556, 478, 3693, 6588, 282, 20926, 11758, 7431, 861, 1681, 505, 9444, 16, 282, 4810, 16, 6347, 11182, 3275, 2844, 1743, 290, 14232, 464, 309, 4015, 382, 1999, 1212, 5814, 4534, 16, 639, 16536, 3890, 1293, 8334, 36591, 1816, 41684, 16, 309, 14540, 1639, 898, 11970, 32126, 289, 36716, 18, 46886, 272, 1452, 26471, 18459, 334, 8384, 281, 36958, 3280, 1330, 11552, 5246, 4534, 16, 367, 1038, 4329, 620, 334, 17998, 4143, 17664, 33914, 39193, 1530, 343, 8231, 18, 640, 3059, 12130, 24862, 5500, 478, 1605, 470, 492, 685, 4292, 1235, 687, 282, 4018, 1045, 18, 49933, 5368, 19389, 5500, 685, 9543, 21734, 291, 1624, 1029, 26471, 773, 281, 5049, 779, 18, 29658, 18465, 639, 19056, 6125, 309, 8285, 8300, 3594, 334, 8384, 281, 36958, 3280, 1330, 473, 9693, 12124, 672, 934, 2486, 309, 2083, 30872, 1640, 25512, 21734, 291, 18, 2, 1, 87, 1456, 81, 2448, 30, 4670, 330, 6343, 25262, 9798, 33811, 30975, 2931, 680, 6937, 30143, 282, 37555, 309, 28253, 37879, 2931, 718, 8911, 27585, 43549, 711, 401, 18, 35157, 43549, 711, 401, 31635, 10566, 304, 30, 334, 3163, 23394, 16, 475, 16, 1085, 685, 44312, 282, 11949, 763, 43549, 711, 401, 16, 453, 670, 4345, 6541, 318, 18, 31224, 30, 21664, 426, 4653, 46518, 6655, 2294, 421, 1259, 38278, 795, 10954, 332, 44462, 266, 282, 4599, 9798, 33811, 9207, 6937, 29343, 432, 37879, 368, 12097, 36407, 18128, 18, 2320, 25262, 30143, 282, 37555, 309, 28253, 37879, 2931, 718, 8911, 27585, 43549, 711, 401, 18, 1367, 803, 478, 46088, 18, 8381, 470, 10703, 15320, 12460, 2822, 14793, 6470, 43110, 18, 478, 46583, 27999, 46518, 25262, 36407, 18128, 30143, 16, 18132, 651, 30685, 536, 18, 421, 2166, 16, 23191, 520, 492, 3585, 29317, 2981, 16, 3011, 12978, 23768, 910, 510, 10703, 6470, 43110, 18, 3739, 1949, 5120, 14100, 1101, 510, 49181, 15637, 962, 342, 289, 30236, 6315, 4574, 14954, 510, 15709, 6343, 5828, 3616, 18, 35157, 27585, 43549, 711, 401, 10566, 304, 31635, 18, 478, 3096, 46256, 3276, 16044, 277, 7339, 31127, 15463, 281, 4947, 4611, 5738, 16, 282, 5034, 547, 23038, 912, 8755, 1775, 9181, 16, 961, 4385, 13363, 334, 35731, 16, 322, 10265, 3356, 5325, 18, 26380, 265, 45691, 5809, 8465, 282, 2463, 6315, 4574, 14954, 8912, 6279, 16, 515, 16, 322, 1137, 4890, 37256, 4527, 9061, 16, 745, 322, 7649, 751, 16, 1085, 1574, 33490, 343, 572, 16, 289, 6498, 294, 14728, 16, 374, 492, 30685, 286, 16, 510, 27250, 14793, 6470, 43110, 18, 510, 6928, 1721, 6009, 481, 683, 899, 9137, 16, 1548, 374, 6315, 4574, 2279, 289, 28468, 512, 510, 4289, 13373, 4793, 14298, 18, 1303, 16, 1085, 685, 2599, 406, 16, 453, 670, 4345, 6541, 318, 861, 824, 3163, 23394, 16, 28147, 13777, 10566, 322, 16684, 7012, 16, 1548, 374, 11051, 14267, 7896, 23305, 4110, 309, 327, 18, 491, 422, 18, 41538, 11828, 2407, 473, 20845, 539, 4284, 468, 2246, 2035, 16021, 23292, 814, 996, 374, 11350, 17, 44029, 3033, 16684, 16837, 1533, 986, 17288, 434, 12851, 16, 367, 281, 9752, 3585, 29317, 2981, 510, 1409, 281, 16401, 18, 27585, 43549, 711, 401, 510, 952, 13103, 16, 12130, 30975, 2931, 718, 10872, 4623, 478, 672, 287, 1790, 1743, 910, 8306, 419, 4202, 478, 677, 10720, 37879, 2931, 718, 8911, 910, 1029, 11451, 28096, 300, 289, 4434, 1738, 282, 22005, 30975, 2931, 1133, 2891, 289, 1146, 17451, 27832, 22128, 9207, 689, 11518, 16, 510, 411, 3590, 1032, 4120, 4479, 779, 282, 29343, 547, 3580, 37879, 382, 18, 43099, 20845, 1157, 25585, 505, 34917, 296, 10365, 6493, 323, 16, 592, 831, 357, 282, 2398, 16, 1055, 34451, 8150, 309, 8625, 862, 18, 1012, 9732, 43549, 711, 11118, 3225, 687, 4426, 31102, 1413, 4068, 15074, 3599, 18, 2112, 14719, 492, 2693, 9066, 282, 33027, 553, 18, 19873, 549, 36063, 21849, 1154, 11969, 1743, 282, 2630, 281, 4284, 979, 2246, 2035, 16021, 23292, 43549, 711, 11118, 18, 824, 7475, 14160, 16, 3504, 309, 11949, 468, 8306, 419, 3619, 14331, 30975, 2931, 680, 6937, 4944, 36407, 3573, 18, 608, 36038, 20841, 26363, 6455, 4453, 2584, 825, 36989, 1241, 460, 31672, 18, 1241, 460, 2440, 510, 8282, 18608, 36407, 18128, 16, 745, 29239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 505, 567, 1844, 2987, 10770, 432, 11079, 281, 13212, 17, 7355, 321, 4309, 18, 478, 677, 2343, 13519, 5576, 282, 12441, 547, 12719, 27034, 2829, 4481, 549, 7459, 18, 824, 722, 8872, 5590, 18585, 5771, 19790, 2553, 16, 282, 2114, 31656, 309, 22754, 6118, 17, 8812, 1891, 349, 17784, 910, 510, 4848, 7897, 33293, 18, 817, 1038, 5692, 16, 374, 4498, 3419, 322, 687, 290, 10305, 282, 24425, 16, 515, 289, 282, 9893, 18, 9873, 978, 16, 282, 14301, 3419, 4498, 289, 290, 1888, 478, 297, 7371, 355, 973, 49640, 910, 515, 322, 44112, 16, 4700, 1717, 18, 5452, 6482, 742, 478, 1098, 3056, 18, 344, 470, 1038, 20075, 41847, 8862, 290, 970, 16, 374, 21110, 3222, 8337, 343, 9539, 1530, 343, 15155, 281, 9776, 355, 4092, 712, 45989, 37449, 1901, 10514, 432, 5910, 18, 365, 4810, 16, 4498, 3419, 290, 45668, 6781, 5835, 1465, 16, 2024, 18137, 282, 2343, 4120, 567, 808, 10910, 434, 11815, 309, 4625, 36087, 287, 18, 985, 8846, 16, 10570, 564, 639, 9245, 1717, 281, 3631, 3021, 16, 567, 808, 2024, 25372, 4374, 309, 20315, 7994, 16, 2686, 583, 45668, 872, 1038, 3828, 16, 374, 4419, 975, 29362, 478, 482, 13243, 470, 17884, 289, 9650, 2853, 35070, 334, 41426, 12150, 282, 17710, 32098, 289, 38300, 17, 324, 17, 26148, 18, 824, 3163, 15479, 10195, 16, 282, 1335, 3182, 29966, 1157, 17353, 478, 1605, 470, 3929, 687, 15590, 7771, 3574, 291, 16, 5138, 4687, 360, 1888, 21746, 18, 7106, 16, 374, 41402, 46886, 272, 1452, 2780, 9324, 282, 17329, 20043, 282, 14595, 1045, 18, 385, 11078, 334, 8439, 3142, 14366, 9324, 282, 8932, 2431, 334, 39743, 8150, 277, 39193, 1530, 343, 6233, 18, 365, 8455, 1045, 492, 12307, 3059, 12130, 6660, 334, 8384, 281, 3701, 982, 8150, 353, 19371, 9246, 1552, 334, 7589, 1147, 3224, 33976, 26588, 4534, 16, 367, 282, 2849, 281, 5653, 334, 5049, 3142, 26471, 8932, 3021, 334, 8384, 281, 36958, 3280, 1330, 3187, 1941, 6233, 18, 41402, 46886, 272, 1452, 685, 49248, 18704, 37794, 289, 6144, 9164, 5142, 4868, 349, 2849, 5119, 282, 20043, 9246, 1552, 16, 282, 970, 2875, 1962, 45133, 13707, 478, 3693, 25428, 1188, 5479, 9335, 470, 907, 289, 5152, 4996, 16, 41556, 478, 3693, 6588, 282, 20926, 11758, 7431, 861, 1681, 505, 9444, 16, 282, 4810, 16, 6347, 11182, 3275, 2844, 1743, 290, 14232, 464, 309, 4015, 382, 1999, 1212, 5814, 4534, 16, 639, 16536, 3890, 1293, 8334, 36591, 1816, 41684, 16, 309, 14540, 1639, 898, 11970, 32126, 289, 36716, 18, 46886, 272, 1452, 26471, 18459, 334, 8384, 281, 36958, 3280, 1330, 11552, 5246, 4534, 16, 367, 1038, 4329, 620, 334, 17998, 4143, 17664, 33914, 39193, 1530, 343, 8231, 18, 640, 3059, 12130, 24862, 5500, 478, 1605, 470, 492, 685, 4292, 1235, 687, 282, 4018, 1045, 18, 49933, 5368, 19389, 5500, 685, 9543, 21734, 291, 1624, 1029, 26471, 773, 281, 5049, 779, 18, 29658, 18465, 639, 19056, 6125, 309, 8285, 8300, 3594, 334, 8384, 281, 36958, 3280, 1330, 473, 9693, 12124, 672, 934, 2486, 309, 2083, 30872, 1640, 25512, 21734, 291, 18, 2, 1, 87, 1456, 81, 2448, 30, 4670, 330, 6343, 25262, 9798, 33811, 30975, 2931, 680, 6937, 30143, 282, 37555, 309, 28253, 37879, 2931, 718, 8911, 27585, 43549, 711, 401, 18, 35157, 43549, 711, 401, 31635, 10566, 304, 30, 334, 3163, 23394, 16, 475, 16, 1085, 685, 44312, 282, 11949, 763, 43549, 711, 401, 16, 453, 670, 4345, 6541, 318, 18, 31224, 30, 21664, 426, 4653, 46518, 6655, 2294, 421, 1259, 38278, 795, 10954, 332, 44462, 266, 282, 4599, 9798, 33811, 9207, 6937, 29343, 432, 37879, 368, 12097, 36407, 18128, 18, 2320, 25262, 30143, 282, 37555, 309, 28253, 37879, 2931, 718, 8911, 27585, 43549, 711, 401, 18, 1367, 803, 478, 46088, 18, 8381, 470, 10703, 15320, 12460, 2822, 14793, 6470, 43110, 18, 478, 46583, 27999, 46518, 25262, 36407, 18128, 30143, 16, 18132, 651, 30685, 536, 18, 421, 2166, 16, 23191, 520, 492, 3585, 29317, 2981, 16, 3011, 12978, 23768, 910, 510, 10703, 6470, 43110, 18, 3739, 1949, 5120, 14100, 1101, 510, 49181, 15637, 962, 342, 289, 30236, 6315, 4574, 14954, 510, 15709, 6343, 5828, 3616, 18, 35157, 27585, 43549, 711, 401, 10566, 304, 31635, 18, 478, 3096, 46256, 3276, 16044, 277, 7339, 31127, 15463, 281, 4947, 4611, 5738, 16, 282, 5034, 547, 23038, 912, 8755, 1775, 9181, 16, 961, 4385, 13363, 334, 35731, 16, 322, 10265, 3356, 5325, 18, 26380, 265, 45691, 5809, 8465, 282, 2463, 6315, 4574, 14954, 8912, 6279, 16, 515, 16, 322, 1137, 4890, 37256, 4527, 9061, 16, 745, 322, 7649, 751, 16, 1085, 1574, 33490, 343, 572, 16, 289, 6498, 294, 14728, 16, 374, 492, 30685, 286, 16, 510, 27250, 14793, 6470, 43110, 18, 510, 6928, 1721, 6009, 481, 683, 899, 9137, 16, 1548, 374, 6315, 4574, 2279, 289, 28468, 512, 510, 4289, 13373, 4793, 14298, 18, 1303, 16, 1085, 685, 2599, 406, 16, 453, 670, 4345, 6541, 318, 861, 824, 3163, 23394, 16, 28147, 13777, 10566, 322, 16684, 7012, 16, 1548, 374, 11051, 14267, 7896, 23305, 4110, 309, 327, 18, 491, 422, 18, 41538, 11828, 2407, 473, 20845, 539, 4284, 468, 2246, 2035, 16021, 23292, 814, 996, 374, 11350, 17, 44029, 3033, 16684, 16837, 1533, 986, 17288, 434, 12851, 16, 367, 281, 9752, 3585, 29317, 2981, 510, 1409, 281, 16401, 18, 27585, 43549, 711, 401, 510, 952, 13103, 16, 12130, 30975, 2931, 718, 10872, 4623, 478, 672, 287, 1790, 1743, 910, 8306, 419, 4202, 478, 677, 10720, 37879, 2931, 718, 8911, 910, 1029, 11451, 28096, 300, 289, 4434, 1738, 282, 22005, 30975, 2931, 1133, 2891, 289, 1146, 17451, 27832, 22128, 9207, 689, 11518, 16, 510, 411, 3590, 1032, 4120, 4479, 779, 282, 29343, 547, 3580, 37879, 382, 18, 43099, 20845, 1157, 25585, 505, 34917, 296, 10365, 6493, 323, 16, 592, 831, 357, 282, 2398, 16, 1055, 34451, 8150, 309, 8625, 862, 18, 1012, 9732, 43549, 711, 11118, 3225, 687, 4426, 31102, 1413, 4068, 15074, 3599, 18, 2112, 14719, 492, 2693, 9066, 282, 33027, 553, 18, 19873, 549, 36063, 21849, 1154, 11969, 1743, 282, 2630, 281, 4284, 979, 2246, 2035, 16021, 23292, 43549, 711, 11118, 18, 824, 7475, 14160, 16, 3504, 309, 11949, 468, 8306, 419, 3619, 14331, 30975, 2931, 680, 6937, 4944, 36407, 3573, 18, 608, 36038, 20841, 26363, 6455, 4453, 2584, 825, 36989, 1241, 460, 31672, 18, 1241, 460, 2440, 510, 8282, 18608, 36407, 18128, 16, 745, 29239 ]
[ 326, 47529, 289, 5826, 4419, 11157, 282, 13587, 18, 4802, 10292, 29838, 16, 374, 16, 322, 1146, 7678, 15688, 20436, 282, 24642, 16, 6230, 349, 36407, 466, 3259, 16, 590, 4060, 1757, 411, 21596, 2514, 21363, 608, 12124, 12775, 282, 37879, 2931, 778, 16, 1241, 460, 2440, 1038, 44483, 282, 37879, 382, 16, 4660, 2728, 281, 505, 3195, 3604, 8892, 282, 23779, 10088, 18, 36424, 478, 42244, 910, 1241, 460, 2440, 16, 334, 7475, 14160, 16, 6455, 411, 11455, 43549, 711, 401, 349, 2555, 4500, 18, 2791, 4686, 365, 604, 5039, 272, 1312, 264, 552, 521, 392, 289, 8548, 1508, 2086, 2541, 888, 18, 1606, 20908, 20841, 309, 952, 13103, 1281, 3597, 4479, 779, 16, 515, 43549, 711, 291, 282, 6031, 2928, 709, 19567, 49514, 3571, 12915, 18, 1241, 460, 31672, 16, 428, 3014, 411, 4974, 1101, 16, 481, 7040, 16148, 536, 16, 289, 282, 12838, 924, 575, 779, 334, 505, 21550, 8306, 419, 411, 3590, 6729, 6315, 4574, 2279, 289, 10618, 38546, 18, 17935, 24661, 28602, 282, 15783, 16, 22499, 773, 282, 803, 764, 1176, 17627, 5367, 510, 18159, 28468, 512, 18, 1937, 17201, 639, 5698, 299, 16, 36407, 18128, 34856, 282, 3320, 21912, 512, 473, 283, 18, 816, 422, 18, 11114, 16, 327, 18, 430, 422, 18, 44781, 11828, 13, 289, 48118, 309, 11910, 473, 283, 18, 816, 422, 18, 11114, 16, 327, 18, 816, 422, 18, 2555, 16, 279, 293, 18, 478, 296, 910, 478, 313, 910, 478, 288, 470, 327, 18, 491, 422, 18, 27839, 11828, 814, 1241, 460, 31672, 36560, 282, 1627, 326, 327, 18, 1032, 289, 1061, 422, 18, 11114, 16, 327, 18, 430, 422, 18, 44781, 11828, 2407, 473, 293, 17617, 265, 13, 289, 327, 18, 1032, 289, 1061, 422, 18, 11114, 16, 327, 18, 816, 422, 18, 2555, 16, 478, 296, 910, 478, 313, 910, 478, 288, 470, 327, 18, 491, 422, 18, 27839, 11828, 473, 14845, 897, 468, 309, 11910, 14120, 1562, 289, 334, 3297, 597, 3247, 16, 8278, 2822, 27095, 4103, 814, 28468, 14457, 289, 6315, 4574, 2279, 272, 898, 11103, 2626, 14267, 334, 422, 18, 11114, 16, 327, 18, 816, 422, 18, 2555, 16, 279, 18, 478, 313, 910, 478, 288, 470, 327, 18, 491, 422, 18, 27839, 11828, 473, 14845, 897, 468, 309, 11910, 14120, 1562, 289, 334, 3297, 597, 3247, 814, 38546, 685, 14449, 4179, 503, 12414, 1116, 30, 428, 12374, 16, 492, 32842, 35090, 15192, 355, 16, 289, 505, 1743, 639, 42406, 282, 42898, 8357, 18, 4944, 1241, 460, 2440, 13749, 1423, 16789, 16, 505, 1743, 7612, 862, 12355, 16, 282, 42719, 4666, 18, 365, 3177, 16876, 19395, 1241, 460, 2440, 282, 6940, 445, 13749, 1423, 16789, 289, 8409, 18280, 329, 48944, 16, 2296, 11817, 309, 2651, 1805, 11915, 3663, 16, 289, 505, 5169, 18, 3791, 26900, 10823, 12453, 1551, 19486, 1500, 5809, 16, 374, 492, 2259, 14565, 2888, 4284, 1545, 43549, 711, 11118, 1436, 2110, 289, 9546, 451, 6377, 18, 48340, 274, 5367, 322, 685, 4419, 1551, 406, 16, 329, 1047, 309, 289, 313, 1981, 763, 8849, 6511, 18, 415, 1079, 297, 413, 1587, 16789, 15515, 1551, 322, 10519, 18, 365, 6031, 421, 1259, 271, 24413, 43209, 505, 294, 2476, 628, 17912, 17703, 8124, 289, 4679, 17912, 13756, 8124, 18, 14179, 2086, 2541, 375, 5291, 1646, 17288, 434, 12783, 16, 3387, 5678, 309, 28510, 477, 23285, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12462, 11116, 5626, 33691, 6052, 16, 41629, 282, 7730, 763, 26613, 25097, 29368, 1895, 20801, 478, 32467, 47867, 289, 5104, 505, 6061, 910, 1276, 26958, 282, 12250, 22689, 680, 40867, 18, 365, 1191, 300, 14403, 16, 374, 282, 2083, 26366, 8150, 685, 17948, 18, 817, 1038, 4725, 16, 374, 2963, 14202, 44587, 45916, 18, 640, 9376, 404, 4598, 798, 7459, 10076, 47247, 16858, 536, 1728, 5794, 16, 374, 519, 4319, 1326, 322, 48419, 23518, 282, 45206, 22398, 1207, 18, 31224, 30, 41585, 16, 31459, 8694, 11132, 29368, 1895, 20801, 478, 32467, 47867, 289, 5104, 505, 6061, 910, 1586, 3164, 282, 16653, 12250, 22689, 680, 40867, 16, 14403, 16, 374, 45410, 282, 1003, 1636, 7237, 4349, 16, 785, 38079, 870, 3193, 18, 365, 5324, 11116, 5626, 505, 33691, 18, 478, 4670, 3937, 5298, 309, 1710, 473, 3509, 12437, 934, 282, 7109, 8600, 18643, 282, 4036, 15874, 16, 2963, 726, 14799, 16, 22608, 693, 32364, 20606, 18, 11797, 454, 322, 40946, 16, 1215, 289, 11486, 435, 1660, 17, 299, 910, 510, 4848, 5688, 3359, 309, 2797, 12862, 18, 817, 1038, 11661, 16, 374, 3147, 6344, 305, 29231, 1360, 18051, 18, 2046, 32284, 282, 4349, 47648, 37010, 639, 322, 17751, 9402, 2900, 3892, 343, 18, 16344, 1038, 2815, 16, 374, 2963, 14202, 44587, 45916, 18, 19065, 16, 374, 309, 9376, 404, 29368, 1895, 20801, 44879, 6061, 47867, 1974, 281, 14049, 16, 2024, 16, 5938, 25097, 16, 492, 583, 289, 11367, 18, 2046, 5809, 5069, 434, 37774, 10076, 28524, 7876, 519, 4319, 1326, 5702, 21045, 27567, 38192, 18, 7042, 411, 1129, 7501, 3236, 282, 28592, 418, 400, 1335, 3182, 18, 20833, 2706, 3990, 309, 11132, 478, 32467, 47867, 289, 5104, 505, 6061, 470, 639, 31044, 20841, 16, 282, 3198, 2024, 32780, 28841, 13607, 14440, 19082, 18, 38431, 11540, 1188, 2513, 7702, 14110, 4652, 282, 3695, 30, 646, 18, 365, 1191, 300, 4445, 282, 2038, 1276, 16786, 282, 13942, 14110, 32276, 1556, 38498, 2788, 10463, 16, 1011, 1660, 35839, 773, 2053, 12451, 13329, 16, 32557, 7927, 11132, 360, 26613, 18, 415, 41418, 6233, 3828, 31085, 18, 41242, 2508, 309, 1756, 8150, 8811, 6431, 18137, 25935, 837, 18, 13925, 12374, 16, 374, 773, 1623, 10608, 17, 7745, 4907, 404, 46787, 18, 817, 9665, 282, 7522, 289, 6820, 282, 3580, 749, 8314, 18, 38028, 611, 1453, 4365, 1100, 19082, 5823, 3872, 46106, 18, 2227, 6762, 639, 1326, 20620, 282, 3437, 6594, 282, 2456, 5214, 1810, 309, 44947, 28524, 7876, 18, 478, 4925, 13863, 12736, 3525, 47685, 5184, 1162, 7487, 4562, 351, 429, 18, 824, 24750, 44095, 3240, 45824, 510, 14195, 1562, 289, 4170, 11296, 289, 28524, 7876, 510, 322, 19299, 910, 510, 16170, 282, 3781, 17, 12495, 12250, 22689, 680, 37319, 18, 3026, 1038, 6442, 16, 374, 1011, 7358, 3352, 290, 9544, 4201, 309, 1756, 9811, 6548, 3558, 2116, 16, 37705, 1250, 16, 9770, 5119, 3623, 14110, 289, 8811, 10348, 7733, 9835, 334, 3705, 281, 4460, 4869, 7541, 18, 1606, 2262, 9529, 37862, 448, 7272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 326, 47529, 289, 5826, 4419, 11157, 282, 13587, 18, 4802, 10292, 29838, 16, 374, 16, 322, 1146, 7678, 15688, 20436, 282, 24642, 16, 6230, 349, 36407, 466, 3259, 16, 590, 4060, 1757, 411, 21596, 2514, 21363, 608, 12124, 12775, 282, 37879, 2931, 778, 16, 1241, 460, 2440, 1038, 44483, 282, 37879, 382, 16, 4660, 2728, 281, 505, 3195, 3604, 8892, 282, 23779, 10088, 18, 36424, 478, 42244, 910, 1241, 460, 2440, 16, 334, 7475, 14160, 16, 6455, 411, 11455, 43549, 711, 401, 349, 2555, 4500, 18, 2791, 4686, 365, 604, 5039, 272, 1312, 264, 552, 521, 392, 289, 8548, 1508, 2086, 2541, 888, 18, 1606, 20908, 20841, 309, 952, 13103, 1281, 3597, 4479, 779, 16, 515, 43549, 711, 291, 282, 6031, 2928, 709, 19567, 49514, 3571, 12915, 18, 1241, 460, 31672, 16, 428, 3014, 411, 4974, 1101, 16, 481, 7040, 16148, 536, 16, 289, 282, 12838, 924, 575, 779, 334, 505, 21550, 8306, 419, 411, 3590, 6729, 6315, 4574, 2279, 289, 10618, 38546, 18, 17935, 24661, 28602, 282, 15783, 16, 22499, 773, 282, 803, 764, 1176, 17627, 5367, 510, 18159, 28468, 512, 18, 1937, 17201, 639, 5698, 299, 16, 36407, 18128, 34856, 282, 3320, 21912, 512, 473, 283, 18, 816, 422, 18, 11114, 16, 327, 18, 430, 422, 18, 44781, 11828, 13, 289, 48118, 309, 11910, 473, 283, 18, 816, 422, 18, 11114, 16, 327, 18, 816, 422, 18, 2555, 16, 279, 293, 18, 478, 296, 910, 478, 313, 910, 478, 288, 470, 327, 18, 491, 422, 18, 27839, 11828, 814, 1241, 460, 31672, 36560, 282, 1627, 326, 327, 18, 1032, 289, 1061, 422, 18, 11114, 16, 327, 18, 430, 422, 18, 44781, 11828, 2407, 473, 293, 17617, 265, 13, 289, 327, 18, 1032, 289, 1061, 422, 18, 11114, 16, 327, 18, 816, 422, 18, 2555, 16, 478, 296, 910, 478, 313, 910, 478, 288, 470, 327, 18, 491, 422, 18, 27839, 11828, 473, 14845, 897, 468, 309, 11910, 14120, 1562, 289, 334, 3297, 597, 3247, 16, 8278, 2822, 27095, 4103, 814, 28468, 14457, 289, 6315, 4574, 2279, 272, 898, 11103, 2626, 14267, 334, 422, 18, 11114, 16, 327, 18, 816, 422, 18, 2555, 16, 279, 18, 478, 313, 910, 478, 288, 470, 327, 18, 491, 422, 18, 27839, 11828, 473, 14845, 897, 468, 309, 11910, 14120, 1562, 289, 334, 3297, 597, 3247, 814, 38546, 685, 14449, 4179, 503, 12414, 1116, 30, 428, 12374, 16, 492, 32842, 35090, 15192, 355, 16, 289, 505, 1743, 639, 42406, 282, 42898, 8357, 18, 4944, 1241, 460, 2440, 13749, 1423, 16789, 16, 505, 1743, 7612, 862, 12355, 16, 282, 42719, 4666, 18, 365, 3177, 16876, 19395, 1241, 460, 2440, 282, 6940, 445, 13749, 1423, 16789, 289, 8409, 18280, 329, 48944, 16, 2296, 11817, 309, 2651, 1805, 11915, 3663, 16, 289, 505, 5169, 18, 3791, 26900, 10823, 12453, 1551, 19486, 1500, 5809, 16, 374, 492, 2259, 14565, 2888, 4284, 1545, 43549, 711, 11118, 1436, 2110, 289, 9546, 451, 6377, 18, 48340, 274, 5367, 322, 685, 4419, 1551, 406, 16, 329, 1047, 309, 289, 313, 1981, 763, 8849, 6511, 18, 415, 1079, 297, 413, 1587, 16789, 15515, 1551, 322, 10519, 18, 365, 6031, 421, 1259, 271, 24413, 43209, 505, 294, 2476, 628, 17912, 17703, 8124, 289, 4679, 17912, 13756, 8124, 18, 14179, 2086, 2541, 375, 5291, 1646, 17288, 434, 12783, 16, 3387, 5678, 309, 28510, 477, 23285, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12462, 11116, 5626, 33691, 6052, 16, 41629, 282, 7730, 763, 26613, 25097, 29368, 1895, 20801, 478, 32467, 47867, 289, 5104, 505, 6061, 910, 1276, 26958, 282, 12250, 22689, 680, 40867, 18, 365, 1191, 300, 14403, 16, 374, 282, 2083, 26366, 8150, 685, 17948, 18, 817, 1038, 4725, 16, 374, 2963, 14202, 44587, 45916, 18, 640, 9376, 404, 4598, 798, 7459, 10076, 47247, 16858, 536, 1728, 5794, 16, 374, 519, 4319, 1326, 322, 48419, 23518, 282, 45206, 22398, 1207, 18, 31224, 30, 41585, 16, 31459, 8694, 11132, 29368, 1895, 20801, 478, 32467, 47867, 289, 5104, 505, 6061, 910, 1586, 3164, 282, 16653, 12250, 22689, 680, 40867, 16, 14403, 16, 374, 45410, 282, 1003, 1636, 7237, 4349, 16, 785, 38079, 870, 3193, 18, 365, 5324, 11116, 5626, 505, 33691, 18, 478, 4670, 3937, 5298, 309, 1710, 473, 3509, 12437, 934, 282, 7109, 8600, 18643, 282, 4036, 15874, 16, 2963, 726, 14799, 16, 22608, 693, 32364, 20606, 18, 11797, 454, 322, 40946, 16, 1215, 289, 11486, 435, 1660, 17, 299, 910, 510, 4848, 5688, 3359, 309, 2797, 12862, 18, 817, 1038, 11661, 16, 374, 3147, 6344, 305, 29231, 1360, 18051, 18, 2046, 32284, 282, 4349, 47648, 37010, 639, 322, 17751, 9402, 2900, 3892, 343, 18, 16344, 1038, 2815, 16, 374, 2963, 14202, 44587, 45916, 18, 19065, 16, 374, 309, 9376, 404, 29368, 1895, 20801, 44879, 6061, 47867, 1974, 281, 14049, 16, 2024, 16, 5938, 25097, 16, 492, 583, 289, 11367, 18, 2046, 5809, 5069, 434, 37774, 10076, 28524, 7876, 519, 4319, 1326, 5702, 21045, 27567, 38192, 18, 7042, 411, 1129, 7501, 3236, 282, 28592, 418, 400, 1335, 3182, 18, 20833, 2706, 3990, 309, 11132, 478, 32467, 47867, 289, 5104, 505, 6061, 470, 639, 31044, 20841, 16, 282, 3198, 2024, 32780, 28841, 13607, 14440, 19082, 18, 38431, 11540, 1188, 2513, 7702, 14110, 4652, 282, 3695, 30, 646, 18, 365, 1191, 300, 4445, 282, 2038, 1276, 16786, 282, 13942, 14110, 32276, 1556, 38498, 2788, 10463, 16, 1011, 1660, 35839, 773, 2053, 12451, 13329, 16, 32557, 7927, 11132, 360, 26613, 18, 415, 41418, 6233, 3828, 31085, 18, 41242, 2508, 309, 1756, 8150, 8811, 6431, 18137, 25935, 837, 18, 13925, 12374, 16, 374, 773, 1623, 10608, 17, 7745, 4907, 404, 46787, 18, 817, 9665, 282, 7522, 289, 6820, 282, 3580, 749, 8314, 18, 38028, 611, 1453, 4365, 1100, 19082, 5823, 3872, 46106, 18, 2227, 6762, 639, 1326, 20620, 282, 3437, 6594, 282, 2456, 5214, 1810, 309, 44947, 28524, 7876, 18, 478, 4925, 13863, 12736, 3525, 47685, 5184, 1162, 7487, 4562, 351, 429, 18, 824, 24750, 44095, 3240, 45824, 510, 14195, 1562, 289, 4170, 11296, 289, 28524, 7876, 510, 322, 19299, 910, 510, 16170, 282, 3781, 17, 12495, 12250, 22689, 680, 37319, 18, 3026, 1038, 6442, 16, 374, 1011, 7358, 3352, 290, 9544, 4201, 309, 1756, 9811, 6548, 3558, 2116, 16, 37705, 1250, 16, 9770, 5119, 3623, 14110, 289, 8811, 10348, 7733, 9835, 334, 3705, 281, 4460, 4869, 7541, 18, 1606, 2262, 9529, 37862, 448, 7272 ]
[ 334, 4176, 954, 11407, 5319, 18, 478, 4408, 17147, 21462, 2466, 18622, 17, 782, 2794, 9870, 37705, 1250, 14110, 10258, 37862, 448, 14576, 448, 1810, 510, 26987, 4633, 33435, 12736, 16, 42549, 5183, 7523, 9756, 289, 43486, 16, 1011, 1660, 1372, 906, 9884, 35100, 411, 19546, 38532, 289, 12674, 798, 282, 37705, 12832, 44374, 14110, 910, 510, 6442, 282, 3781, 17, 12495, 18, 4900, 30080, 12250, 22689, 680, 37319, 632, 388, 42863, 13590, 877, 7408, 322, 2397, 3775, 18291, 16, 453, 428, 3164, 282, 39244, 416, 4391, 13770, 16, 34259, 282, 40867, 18, 2046, 678, 3857, 10047, 2204, 15350, 4371, 16, 15349, 15021, 281, 19716, 14110, 334, 8352, 289, 5923, 290, 4053, 22666, 12967, 5319, 2407, 18, 824, 13229, 32413, 282, 4599, 12211, 7541, 46379, 13411, 2928, 302, 20304, 415, 26383, 1175, 334, 32379, 629, 382, 1496, 343, 2001, 4534, 473, 1140, 5246, 334, 1312, 5607, 13, 5292, 18562, 11969, 1743, 18, 640, 5734, 2083, 13143, 4511, 5252, 329, 6937, 16653, 12250, 22689, 680, 37319, 16, 334, 1851, 8386, 309, 25097, 3475, 10420, 3806, 1736, 280, 2837, 22701, 18, 478, 1140, 991, 3890, 16, 374, 13329, 9756, 322, 639, 4737, 9069, 3806, 1736, 280, 1809, 5192, 761, 18733, 3761, 282, 43673, 26999, 14110, 910, 510, 2815, 7897, 282, 27561, 281, 478, 15210, 861, 5452, 6482, 742, 10015, 1038, 45670, 16, 374, 13143, 322, 9253, 3604, 8623, 37564, 320, 15665, 16, 453, 428, 745, 334, 6327, 1216, 17450, 294, 19983, 18254, 12150, 322, 26381, 18, 889, 322, 8970, 282, 3182, 3022, 19082, 8389, 29589, 18, 29957, 3412, 6295, 13132, 1286, 3612, 25430, 779, 18, 3529, 309, 11132, 28556, 4518, 17, 7745, 25715, 348, 521, 21844, 18931, 40817, 20790, 277, 27706, 22533, 18, 817, 31459, 364, 4365, 285, 16, 309, 32886, 1293, 4655, 10561, 18792, 12285, 334, 9161, 12952, 42471, 18, 23102, 41869, 2822, 17201, 13493, 25262, 11733, 18751, 35208, 18, 49710, 12250, 22689, 680, 37319, 12055, 21064, 2936, 16, 21135, 381, 41317, 464, 16, 14883, 3389, 281, 1807, 18, 3529, 4522, 3021, 7519, 1734, 9756, 4686, 11391, 583, 14413, 16, 2686, 505, 43862, 32188, 6623, 294, 2222, 1612, 3525, 21183, 18, 365, 10841, 25430, 779, 1895, 12285, 30657, 300, 2641, 11296, 16, 515, 6441, 371, 803, 3525, 25468, 360, 6962, 455, 18, 365, 970, 2875, 2539, 798, 906, 1929, 2232, 46100, 18, 3529, 6187, 37319, 7550, 528, 2143, 5203, 3508, 24043, 7730, 1453, 1895, 589, 536, 19773, 289, 14202, 15612, 22379, 298, 1476, 289, 349, 33665, 505, 24443, 18, 5333, 2175, 30751, 14062, 6962, 2009, 14195, 18, 2112, 45267, 12030, 10491, 282, 23184, 1066, 282, 970, 575, 1045, 18, 1598, 17, 431, 7730, 1378, 26613, 349, 1420, 32833, 37705, 1250, 18, 824, 1335, 8386, 32780, 537, 7633, 322, 652, 578, 576, 5277, 37319, 541, 30211, 309, 5168, 1165, 18, 9065, 285, 3164, 424, 35322, 282, 12250, 22689, 680, 40867, 282, 6900, 5172, 2555, 281, 23313, 779, 18, 15510, 3457, 456, 37319, 16, 10398, 18112, 29589, 16, 1038, 30006, 505, 13470, 47252, 304, 37065, 3695, 16, 25, 18425, 6603, 699, 16, 367, 1038, 358, 1465, 7899, 15965, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 6551, 281, 5216, 36488, 35149, 4770, 22256, 1761, 27647, 9131, 1819, 4377, 637, 18, 817, 24905, 9744, 281, 27402, 30012, 18, 2227, 33843, 726, 19553, 4419, 510, 5826, 745, 898, 39208, 309, 31152, 6677, 11896, 22256, 1241, 2440, 403, 12427, 18785, 18, 48733, 1251, 26150, 289, 7384, 323, 44420, 4633, 30374, 1703, 15506, 304, 16, 289, 20423, 23315, 282, 37449, 1809, 17578, 895, 4366, 329, 22860, 6730, 18, 31224, 30, 22681, 22256, 1761, 27647, 9131, 1819, 4377, 637, 1760, 3598, 11834, 3455, 282, 26352, 16652, 478, 563, 717, 10502, 20412, 470, 289, 42295, 281, 17234, 21340, 27402, 30012, 18, 43188, 510, 14151, 549, 33371, 16, 5219, 274, 3308, 7620, 7321, 16, 7541, 289, 7928, 16, 367, 1038, 7620, 18868, 5054, 1949, 2044, 18, 365, 7337, 8818, 1188, 371, 22984, 282, 6551, 20548, 778, 4770, 38033, 288, 1475, 3361, 1251, 17986, 428, 478, 1282, 488, 8260, 10718, 861, 2871, 28435, 16, 2826, 16, 2197, 411, 27132, 2044, 7597, 16, 3361, 1754, 281, 9609, 3716, 322, 32286, 1011, 6059, 309, 4862, 2801, 779, 18, 7249, 309, 502, 374, 365, 798, 16, 428, 3203, 7597, 16, 10006, 701, 294, 6341, 30261, 49528, 16, 678, 13309, 349, 20749, 2284, 49716, 20785, 281, 4534, 18, 967, 803, 282, 5975, 808, 1251, 9609, 289, 2871, 2340, 355, 18795, 14887, 311, 2804, 16, 11419, 281, 21285, 2917, 22464, 3800, 4287, 13845, 17988, 282, 5214, 365, 1007, 18, 817, 49252, 39367, 5489, 477, 1963, 38696, 1562, 18, 29598, 347, 2873, 322, 5285, 5832, 510, 21982, 3207, 953, 2219, 798, 27317, 1188, 36488, 20548, 718, 4830, 282, 13822, 16, 753, 13029, 3490, 6730, 282, 26896, 1608, 11079, 16, 14517, 43537, 9616, 541, 4534, 18, 2263, 9131, 1819, 4377, 637, 9299, 16, 374, 282, 22256, 8007, 530, 6642, 12110, 5887, 16, 12343, 282, 19721, 349, 26147, 2553, 18, 478, 1358, 9763, 16, 374, 475, 282, 22256, 6597, 290, 4192, 11975, 16, 15018, 1378, 26028, 37617, 282, 502, 808, 16, 289, 381, 803, 12016, 12387, 16911, 309, 39544, 2099, 10057, 2592, 321, 282, 15449, 910, 510, 1109, 4770, 282, 7337, 18, 6732, 289, 9131, 1819, 4377, 637, 726, 19553, 30, 4770, 22256, 13694, 7179, 15465, 329, 965, 309, 22993, 282, 12938, 11826, 779, 18, 4852, 1272, 5196, 6732, 289, 9131, 1819, 4377, 637, 7737, 4976, 330, 3424, 16, 515, 726, 282, 37449, 1809, 17578, 510, 5826, 898, 39208, 309, 31152, 6677, 11896, 22256, 1241, 2440, 403, 12427, 18785, 18, 365, 7338, 7597, 1177, 10980, 685, 4608, 10329, 428, 6492, 12119, 7713, 22256, 541, 7583, 6569, 282, 7597, 18, 967, 803, 403, 12427, 18785, 16, 4813, 309, 17721, 42685, 294, 37712, 21935, 16, 23035, 332, 1595, 10980, 282, 6551, 282, 12838, 11826, 779, 18, 889, 4243, 411, 17, 431, 30374, 718, 32922, 16, 9986, 39297, 282, 15449, 18, 2871, 15909, 1133, 2891, 6442, 290, 22832, 5535, 8337, 434, 9322, 16, 1372, 2822, 309, 6551, 281, 2742, 8497, 17, 292, 5521, 16, 282, 828, 15449, 18187, 36667, 2059, 411, 13269, 2044, 18, 14654, 3419, 290, 5953, 17, 1123, 1555, 11350, 17, 911, 523, 4044, 16521, 1333, 22256, 16, 1029, 685, 20817, 334, 38601, 282, 2518, 13882, 510, 1033, 1939, 986, 510, 30416, 452, 282, 4356, 1175, 18, 12280, 8097, 16, 374, 4770, 22256, 9131, 1819, 4377, 637 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 334, 4176, 954, 11407, 5319, 18, 478, 4408, 17147, 21462, 2466, 18622, 17, 782, 2794, 9870, 37705, 1250, 14110, 10258, 37862, 448, 14576, 448, 1810, 510, 26987, 4633, 33435, 12736, 16, 42549, 5183, 7523, 9756, 289, 43486, 16, 1011, 1660, 1372, 906, 9884, 35100, 411, 19546, 38532, 289, 12674, 798, 282, 37705, 12832, 44374, 14110, 910, 510, 6442, 282, 3781, 17, 12495, 18, 4900, 30080, 12250, 22689, 680, 37319, 632, 388, 42863, 13590, 877, 7408, 322, 2397, 3775, 18291, 16, 453, 428, 3164, 282, 39244, 416, 4391, 13770, 16, 34259, 282, 40867, 18, 2046, 678, 3857, 10047, 2204, 15350, 4371, 16, 15349, 15021, 281, 19716, 14110, 334, 8352, 289, 5923, 290, 4053, 22666, 12967, 5319, 2407, 18, 824, 13229, 32413, 282, 4599, 12211, 7541, 46379, 13411, 2928, 302, 20304, 415, 26383, 1175, 334, 32379, 629, 382, 1496, 343, 2001, 4534, 473, 1140, 5246, 334, 1312, 5607, 13, 5292, 18562, 11969, 1743, 18, 640, 5734, 2083, 13143, 4511, 5252, 329, 6937, 16653, 12250, 22689, 680, 37319, 16, 334, 1851, 8386, 309, 25097, 3475, 10420, 3806, 1736, 280, 2837, 22701, 18, 478, 1140, 991, 3890, 16, 374, 13329, 9756, 322, 639, 4737, 9069, 3806, 1736, 280, 1809, 5192, 761, 18733, 3761, 282, 43673, 26999, 14110, 910, 510, 2815, 7897, 282, 27561, 281, 478, 15210, 861, 5452, 6482, 742, 10015, 1038, 45670, 16, 374, 13143, 322, 9253, 3604, 8623, 37564, 320, 15665, 16, 453, 428, 745, 334, 6327, 1216, 17450, 294, 19983, 18254, 12150, 322, 26381, 18, 889, 322, 8970, 282, 3182, 3022, 19082, 8389, 29589, 18, 29957, 3412, 6295, 13132, 1286, 3612, 25430, 779, 18, 3529, 309, 11132, 28556, 4518, 17, 7745, 25715, 348, 521, 21844, 18931, 40817, 20790, 277, 27706, 22533, 18, 817, 31459, 364, 4365, 285, 16, 309, 32886, 1293, 4655, 10561, 18792, 12285, 334, 9161, 12952, 42471, 18, 23102, 41869, 2822, 17201, 13493, 25262, 11733, 18751, 35208, 18, 49710, 12250, 22689, 680, 37319, 12055, 21064, 2936, 16, 21135, 381, 41317, 464, 16, 14883, 3389, 281, 1807, 18, 3529, 4522, 3021, 7519, 1734, 9756, 4686, 11391, 583, 14413, 16, 2686, 505, 43862, 32188, 6623, 294, 2222, 1612, 3525, 21183, 18, 365, 10841, 25430, 779, 1895, 12285, 30657, 300, 2641, 11296, 16, 515, 6441, 371, 803, 3525, 25468, 360, 6962, 455, 18, 365, 970, 2875, 2539, 798, 906, 1929, 2232, 46100, 18, 3529, 6187, 37319, 7550, 528, 2143, 5203, 3508, 24043, 7730, 1453, 1895, 589, 536, 19773, 289, 14202, 15612, 22379, 298, 1476, 289, 349, 33665, 505, 24443, 18, 5333, 2175, 30751, 14062, 6962, 2009, 14195, 18, 2112, 45267, 12030, 10491, 282, 23184, 1066, 282, 970, 575, 1045, 18, 1598, 17, 431, 7730, 1378, 26613, 349, 1420, 32833, 37705, 1250, 18, 824, 1335, 8386, 32780, 537, 7633, 322, 652, 578, 576, 5277, 37319, 541, 30211, 309, 5168, 1165, 18, 9065, 285, 3164, 424, 35322, 282, 12250, 22689, 680, 40867, 282, 6900, 5172, 2555, 281, 23313, 779, 18, 15510, 3457, 456, 37319, 16, 10398, 18112, 29589, 16, 1038, 30006, 505, 13470, 47252, 304, 37065, 3695, 16, 25, 18425, 6603, 699, 16, 367, 1038, 358, 1465, 7899, 15965, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 6551, 281, 5216, 36488, 35149, 4770, 22256, 1761, 27647, 9131, 1819, 4377, 637, 18, 817, 24905, 9744, 281, 27402, 30012, 18, 2227, 33843, 726, 19553, 4419, 510, 5826, 745, 898, 39208, 309, 31152, 6677, 11896, 22256, 1241, 2440, 403, 12427, 18785, 18, 48733, 1251, 26150, 289, 7384, 323, 44420, 4633, 30374, 1703, 15506, 304, 16, 289, 20423, 23315, 282, 37449, 1809, 17578, 895, 4366, 329, 22860, 6730, 18, 31224, 30, 22681, 22256, 1761, 27647, 9131, 1819, 4377, 637, 1760, 3598, 11834, 3455, 282, 26352, 16652, 478, 563, 717, 10502, 20412, 470, 289, 42295, 281, 17234, 21340, 27402, 30012, 18, 43188, 510, 14151, 549, 33371, 16, 5219, 274, 3308, 7620, 7321, 16, 7541, 289, 7928, 16, 367, 1038, 7620, 18868, 5054, 1949, 2044, 18, 365, 7337, 8818, 1188, 371, 22984, 282, 6551, 20548, 778, 4770, 38033, 288, 1475, 3361, 1251, 17986, 428, 478, 1282, 488, 8260, 10718, 861, 2871, 28435, 16, 2826, 16, 2197, 411, 27132, 2044, 7597, 16, 3361, 1754, 281, 9609, 3716, 322, 32286, 1011, 6059, 309, 4862, 2801, 779, 18, 7249, 309, 502, 374, 365, 798, 16, 428, 3203, 7597, 16, 10006, 701, 294, 6341, 30261, 49528, 16, 678, 13309, 349, 20749, 2284, 49716, 20785, 281, 4534, 18, 967, 803, 282, 5975, 808, 1251, 9609, 289, 2871, 2340, 355, 18795, 14887, 311, 2804, 16, 11419, 281, 21285, 2917, 22464, 3800, 4287, 13845, 17988, 282, 5214, 365, 1007, 18, 817, 49252, 39367, 5489, 477, 1963, 38696, 1562, 18, 29598, 347, 2873, 322, 5285, 5832, 510, 21982, 3207, 953, 2219, 798, 27317, 1188, 36488, 20548, 718, 4830, 282, 13822, 16, 753, 13029, 3490, 6730, 282, 26896, 1608, 11079, 16, 14517, 43537, 9616, 541, 4534, 18, 2263, 9131, 1819, 4377, 637, 9299, 16, 374, 282, 22256, 8007, 530, 6642, 12110, 5887, 16, 12343, 282, 19721, 349, 26147, 2553, 18, 478, 1358, 9763, 16, 374, 475, 282, 22256, 6597, 290, 4192, 11975, 16, 15018, 1378, 26028, 37617, 282, 502, 808, 16, 289, 381, 803, 12016, 12387, 16911, 309, 39544, 2099, 10057, 2592, 321, 282, 15449, 910, 510, 1109, 4770, 282, 7337, 18, 6732, 289, 9131, 1819, 4377, 637, 726, 19553, 30, 4770, 22256, 13694, 7179, 15465, 329, 965, 309, 22993, 282, 12938, 11826, 779, 18, 4852, 1272, 5196, 6732, 289, 9131, 1819, 4377, 637, 7737, 4976, 330, 3424, 16, 515, 726, 282, 37449, 1809, 17578, 510, 5826, 898, 39208, 309, 31152, 6677, 11896, 22256, 1241, 2440, 403, 12427, 18785, 18, 365, 7338, 7597, 1177, 10980, 685, 4608, 10329, 428, 6492, 12119, 7713, 22256, 541, 7583, 6569, 282, 7597, 18, 967, 803, 403, 12427, 18785, 16, 4813, 309, 17721, 42685, 294, 37712, 21935, 16, 23035, 332, 1595, 10980, 282, 6551, 282, 12838, 11826, 779, 18, 889, 4243, 411, 17, 431, 30374, 718, 32922, 16, 9986, 39297, 282, 15449, 18, 2871, 15909, 1133, 2891, 6442, 290, 22832, 5535, 8337, 434, 9322, 16, 1372, 2822, 309, 6551, 281, 2742, 8497, 17, 292, 5521, 16, 282, 828, 15449, 18187, 36667, 2059, 411, 13269, 2044, 18, 14654, 3419, 290, 5953, 17, 1123, 1555, 11350, 17, 911, 523, 4044, 16521, 1333, 22256, 16, 1029, 685, 20817, 334, 38601, 282, 2518, 13882, 510, 1033, 1939, 986, 510, 30416, 452, 282, 4356, 1175, 18, 12280, 8097, 16, 374, 4770, 22256, 9131, 1819, 4377, 637 ]
[ 12307, 2702, 1376, 297, 20892, 4368, 10839, 18, 817, 9299, 16, 374, 32603, 867, 16, 5870, 26003, 2891, 22256, 6442, 290, 7204, 2463, 18, 365, 6588, 360, 13415, 8367, 22256, 25302, 4231, 324, 6001, 321, 367, 16, 31974, 4770, 2397, 6335, 10866, 13759, 287, 282, 1634, 43083, 6585, 289, 17343, 18, 817, 9914, 294, 39058, 18334, 770, 16, 282, 502, 808, 428, 43162, 510, 3203, 2871, 15909, 680, 16391, 4623, 18, 7042, 10172, 14050, 6001, 613, 11926, 282, 2990, 13674, 12252, 4846, 4874, 6298, 21692, 276, 18, 4635, 3203, 978, 17371, 685, 7265, 7739, 2409, 9131, 1819, 4377, 2773, 309, 10296, 4830, 18, 1591, 808, 744, 807, 712, 492, 23721, 5514, 1475, 2181, 13193, 24294, 2804, 1728, 21680, 1321, 8001, 50065, 768, 3822, 665, 3715, 478, 1358, 322, 3027, 16, 753, 2871, 28435, 2756, 4056, 19297, 282, 17370, 7044, 16, 1754, 33325, 25214, 3537, 31743, 289, 3203, 5843, 17, 45621, 718, 5020, 624, 16, 510, 27834, 9131, 1819, 4377, 637, 18, 3911, 14101, 9620, 289, 9131, 1819, 4377, 2773, 16, 428, 27827, 16, 840, 1718, 1920, 2917, 35680, 15363, 16, 515, 322, 20846, 16, 374, 745, 2413, 12304, 289, 1582, 19052, 933, 1791, 16, 367, 1038, 4096, 309, 4862, 18, 4756, 5037, 11896, 1175, 4210, 26319, 8566, 2871, 2340, 306, 478, 390, 10386, 33353, 4309, 470, 282, 40357, 41938, 18, 30491, 22256, 726, 38609, 1211, 41514, 281, 9272, 536, 33492, 12984, 27402, 18334, 1703, 18, 37398, 6001, 321, 4848, 309, 17032, 290, 3692, 547, 20175, 281, 8459, 33492, 12360, 323, 18, 478, 15883, 329, 813, 685, 13561, 778, 32742, 13999, 281, 9272, 536, 12984, 2665, 27402, 18334, 1703, 18, 6980, 5702, 13842, 31105, 541, 22256, 289, 7597, 16, 656, 3984, 10846, 7556, 12606, 17773, 289, 13375, 281, 37612, 2994, 275, 1335, 4008, 65, 910, 510, 6463, 6001, 321, 282, 3177, 43287, 18, 1787, 20548, 718, 4830, 46718, 282, 6551, 510, 282, 1851, 17, 299, 4996, 22189, 3977, 18, 2320, 7767, 685, 424, 35558, 4433, 9355, 289, 567, 808, 12456, 23103, 434, 5439, 12737, 39493, 47726, 16091, 18, 9131, 1819, 4377, 637, 4848, 16, 374, 505, 27386, 898, 31896, 2855, 16, 961, 5440, 282, 1175, 281, 2742, 16731, 3931, 18, 14654, 3419, 381, 46818, 282, 16091, 29118, 33816, 2215, 298, 4328, 1819, 4377, 637, 263, 16, 1029, 282, 2159, 808, 47220, 279, 2449, 45461, 4366, 23103, 1147, 23318, 16, 322, 35963, 478, 26707, 408, 2770, 1690, 366, 16, 1326, 447, 670, 683, 1711, 9393, 11244, 861, 478, 12134, 7927, 30534, 8257, 16637, 5, 510, 6443, 529, 368, 20548, 718, 4830, 18, 510, 832, 1650, 4236, 575, 3424, 18802, 16873, 4271, 510, 6443, 282, 37357, 478, 672, 2449, 1162, 3754, 470, 6187, 2450, 441, 1711, 342, 47726, 1767, 16095, 25280, 268, 18, 5452, 4562, 11441, 9862, 5517, 16, 43761, 281, 2871, 2340, 355, 16, 912, 289, 329, 9620, 18, 365, 7337, 9440, 4276, 35503, 272, 4712, 272, 392, 9805, 4770, 4848, 290, 3177, 7767, 263, 16, 1029, 38388, 282, 41410, 32542, 7812, 289, 351, 1737, 3122, 379, 2822, 282, 1047, 20548, 718, 23055, 30, 478, 822, 383, 294, 3130, 17493, 288, 16, 10760, 1595, 18632, 451, 11446, 289, 35642, 300, 16881, 910, 510, 20496, 5037, 4000, 18, 5454, 16, 2354, 294, 4481, 536, 5517, 277, 6721, 1958, 3707, 19068, 17099, 27486, 1251, 4830, 353, 1949, 2044, 16, 14517, 20597, 4119, 22256, 322, 687, 282, 7044, 16, 515, 289, 309, 13858, 30482, 18, 365, 15449, 6535, 11226, 17, 35649, 394, 10830, 7257, 510, 2567, 428, 20022, 289, 22880, 1009, 9899, 1605, 1492, 2, 1, 87, 1456, 81, 2448, 30, 45433, 39207, 18164, 478, 28345, 470, 1761, 31112, 349, 478, 684, 21835, 345, 5158, 910, 31070, 309, 25283, 282, 8151, 6740, 3298, 429, 17527, 434, 7977, 281, 478, 38617, 355, 861, 9051, 1360, 25307, 289, 5157, 954, 478, 23739, 17, 12775, 272, 1528, 910, 3216, 4223, 282, 21854, 7561, 2553, 18, 31224, 30, 471, 684, 21835, 345, 5158, 470, 4223, 282, 21854, 7561, 22643, 16, 1684, 25474, 309, 36934, 5536, 5250, 14452, 478, 38617, 306, 861, 365, 5271, 24621, 2615, 10133, 1011, 14574, 309, 20017, 7609, 8851, 39207, 18164, 478, 28345, 470, 1761, 18, 385, 6175, 14631, 442, 1083, 34126, 411, 594, 324, 10078, 17, 44606, 5683, 1143, 5196, 16, 2686, 1761, 2564, 20330, 9587, 349, 478, 684, 21835, 345, 5158, 910, 13135, 589, 1779, 19574, 329, 47431, 349, 16, 27966, 16, 25817, 26, 3763, 16, 687, 1314, 18, 365, 1500, 2083, 36518, 539, 7283, 282, 22643, 639, 45457, 16, 2686, 9770, 478, 684, 21835, 345, 19240, 470, 852, 648, 857, 15422, 696, 2127, 42967, 1066, 18569, 473, 39, 38, 42, 13, 2048, 24219, 541, 36766, 16, 590, 4060, 1081, 411, 5538, 16, 289, 9287, 7283, 1011, 1760, 4209, 18, 15425, 1374, 290, 970, 16, 374, 1761, 757, 19111, 764, 282, 44617, 28220, 282, 1837, 547, 8267, 281, 1655, 31408, 21340, 7561, 478, 23739, 17, 12775, 272, 1528, 470, 282, 2343, 13519, 5576, 18, 740, 3216, 322, 2564, 9936, 29788, 19574, 282, 769, 38, 42, 16, 6177, 16, 428, 4266, 16, 334, 8386, 14236, 14381, 6702, 16, 961, 2125, 898, 953, 1811, 28852, 411, 36226, 18, 3747, 478, 684, 21835, 345, 5158, 470, 289, 749, 31977, 28291, 281, 478, 23739, 17, 12775, 272, 1528, 910, 16536, 743, 15465, 477, 12932, 1061, 30, 20, 18, 9570, 282, 11671, 28220, 39207, 16, 1576, 4651, 334, 1514, 14857, 16, 4167, 309, 41093, 44873, 18, 18816, 1013, 6863, 309, 4577, 282, 19911, 304, 5271, 329, 1047, 898, 9107, 5925, 16, 3387, 1011, 14574, 309, 20017, 1761, 272, 3711, 27955, 6149, 294, 8459, 3723, 35208, 20944, 18, 8615, 19015, 478, 684, 21835, 345, 19240, 470, 47213, 467, 1011, 1763, 38120, 37253, 27751, 575, 774, 4446, 45468, 282, 2456, 3998, 5790, 18, 478, 38617, 274, 470, 309, 1360, 30482, 16, 1586, 5915, 5194, 19439, 519, 6309, 16, 281, 5606, 1879, 2337, 1076, 555, 15774, 323, 16, 11163, 10551, 4038, 11548, 41701, 18, 2046, 2615, 575, 20928, 24627, 478, 684, 21835, 345, 19240, 470, 14268, 294, 1763, 341, 825, 2560, 1616, 18, 28462, 39914, 520, 8561, 24172, 718, 478, 563, 11415, 42979, 470, 2151, 383, 2612, 22850, 1176, 309, 1176, 281, 774, 34544, 304, 17701, 2101, 9055, 323, 29144, 3376, 16, 5076, 1329, 322, 8477, 2048, 16, 428, 35838, 21755, 18, 10611, 33453, 7243, 1475, 25236, 688, 3245, 262, 18, 999, 3736, 879, 11216, 322, 26728, 7203, 12813, 4466 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12307, 2702, 1376, 297, 20892, 4368, 10839, 18, 817, 9299, 16, 374, 32603, 867, 16, 5870, 26003, 2891, 22256, 6442, 290, 7204, 2463, 18, 365, 6588, 360, 13415, 8367, 22256, 25302, 4231, 324, 6001, 321, 367, 16, 31974, 4770, 2397, 6335, 10866, 13759, 287, 282, 1634, 43083, 6585, 289, 17343, 18, 817, 9914, 294, 39058, 18334, 770, 16, 282, 502, 808, 428, 43162, 510, 3203, 2871, 15909, 680, 16391, 4623, 18, 7042, 10172, 14050, 6001, 613, 11926, 282, 2990, 13674, 12252, 4846, 4874, 6298, 21692, 276, 18, 4635, 3203, 978, 17371, 685, 7265, 7739, 2409, 9131, 1819, 4377, 2773, 309, 10296, 4830, 18, 1591, 808, 744, 807, 712, 492, 23721, 5514, 1475, 2181, 13193, 24294, 2804, 1728, 21680, 1321, 8001, 50065, 768, 3822, 665, 3715, 478, 1358, 322, 3027, 16, 753, 2871, 28435, 2756, 4056, 19297, 282, 17370, 7044, 16, 1754, 33325, 25214, 3537, 31743, 289, 3203, 5843, 17, 45621, 718, 5020, 624, 16, 510, 27834, 9131, 1819, 4377, 637, 18, 3911, 14101, 9620, 289, 9131, 1819, 4377, 2773, 16, 428, 27827, 16, 840, 1718, 1920, 2917, 35680, 15363, 16, 515, 322, 20846, 16, 374, 745, 2413, 12304, 289, 1582, 19052, 933, 1791, 16, 367, 1038, 4096, 309, 4862, 18, 4756, 5037, 11896, 1175, 4210, 26319, 8566, 2871, 2340, 306, 478, 390, 10386, 33353, 4309, 470, 282, 40357, 41938, 18, 30491, 22256, 726, 38609, 1211, 41514, 281, 9272, 536, 33492, 12984, 27402, 18334, 1703, 18, 37398, 6001, 321, 4848, 309, 17032, 290, 3692, 547, 20175, 281, 8459, 33492, 12360, 323, 18, 478, 15883, 329, 813, 685, 13561, 778, 32742, 13999, 281, 9272, 536, 12984, 2665, 27402, 18334, 1703, 18, 6980, 5702, 13842, 31105, 541, 22256, 289, 7597, 16, 656, 3984, 10846, 7556, 12606, 17773, 289, 13375, 281, 37612, 2994, 275, 1335, 4008, 65, 910, 510, 6463, 6001, 321, 282, 3177, 43287, 18, 1787, 20548, 718, 4830, 46718, 282, 6551, 510, 282, 1851, 17, 299, 4996, 22189, 3977, 18, 2320, 7767, 685, 424, 35558, 4433, 9355, 289, 567, 808, 12456, 23103, 434, 5439, 12737, 39493, 47726, 16091, 18, 9131, 1819, 4377, 637, 4848, 16, 374, 505, 27386, 898, 31896, 2855, 16, 961, 5440, 282, 1175, 281, 2742, 16731, 3931, 18, 14654, 3419, 381, 46818, 282, 16091, 29118, 33816, 2215, 298, 4328, 1819, 4377, 637, 263, 16, 1029, 282, 2159, 808, 47220, 279, 2449, 45461, 4366, 23103, 1147, 23318, 16, 322, 35963, 478, 26707, 408, 2770, 1690, 366, 16, 1326, 447, 670, 683, 1711, 9393, 11244, 861, 478, 12134, 7927, 30534, 8257, 16637, 5, 510, 6443, 529, 368, 20548, 718, 4830, 18, 510, 832, 1650, 4236, 575, 3424, 18802, 16873, 4271, 510, 6443, 282, 37357, 478, 672, 2449, 1162, 3754, 470, 6187, 2450, 441, 1711, 342, 47726, 1767, 16095, 25280, 268, 18, 5452, 4562, 11441, 9862, 5517, 16, 43761, 281, 2871, 2340, 355, 16, 912, 289, 329, 9620, 18, 365, 7337, 9440, 4276, 35503, 272, 4712, 272, 392, 9805, 4770, 4848, 290, 3177, 7767, 263, 16, 1029, 38388, 282, 41410, 32542, 7812, 289, 351, 1737, 3122, 379, 2822, 282, 1047, 20548, 718, 23055, 30, 478, 822, 383, 294, 3130, 17493, 288, 16, 10760, 1595, 18632, 451, 11446, 289, 35642, 300, 16881, 910, 510, 20496, 5037, 4000, 18, 5454, 16, 2354, 294, 4481, 536, 5517, 277, 6721, 1958, 3707, 19068, 17099, 27486, 1251, 4830, 353, 1949, 2044, 16, 14517, 20597, 4119, 22256, 322, 687, 282, 7044, 16, 515, 289, 309, 13858, 30482, 18, 365, 15449, 6535, 11226, 17, 35649, 394, 10830, 7257, 510, 2567, 428, 20022, 289, 22880, 1009, 9899, 1605, 1492, 2, 1, 87, 1456, 81, 2448, 30, 45433, 39207, 18164, 478, 28345, 470, 1761, 31112, 349, 478, 684, 21835, 345, 5158, 910, 31070, 309, 25283, 282, 8151, 6740, 3298, 429, 17527, 434, 7977, 281, 478, 38617, 355, 861, 9051, 1360, 25307, 289, 5157, 954, 478, 23739, 17, 12775, 272, 1528, 910, 3216, 4223, 282, 21854, 7561, 2553, 18, 31224, 30, 471, 684, 21835, 345, 5158, 470, 4223, 282, 21854, 7561, 22643, 16, 1684, 25474, 309, 36934, 5536, 5250, 14452, 478, 38617, 306, 861, 365, 5271, 24621, 2615, 10133, 1011, 14574, 309, 20017, 7609, 8851, 39207, 18164, 478, 28345, 470, 1761, 18, 385, 6175, 14631, 442, 1083, 34126, 411, 594, 324, 10078, 17, 44606, 5683, 1143, 5196, 16, 2686, 1761, 2564, 20330, 9587, 349, 478, 684, 21835, 345, 5158, 910, 13135, 589, 1779, 19574, 329, 47431, 349, 16, 27966, 16, 25817, 26, 3763, 16, 687, 1314, 18, 365, 1500, 2083, 36518, 539, 7283, 282, 22643, 639, 45457, 16, 2686, 9770, 478, 684, 21835, 345, 19240, 470, 852, 648, 857, 15422, 696, 2127, 42967, 1066, 18569, 473, 39, 38, 42, 13, 2048, 24219, 541, 36766, 16, 590, 4060, 1081, 411, 5538, 16, 289, 9287, 7283, 1011, 1760, 4209, 18, 15425, 1374, 290, 970, 16, 374, 1761, 757, 19111, 764, 282, 44617, 28220, 282, 1837, 547, 8267, 281, 1655, 31408, 21340, 7561, 478, 23739, 17, 12775, 272, 1528, 470, 282, 2343, 13519, 5576, 18, 740, 3216, 322, 2564, 9936, 29788, 19574, 282, 769, 38, 42, 16, 6177, 16, 428, 4266, 16, 334, 8386, 14236, 14381, 6702, 16, 961, 2125, 898, 953, 1811, 28852, 411, 36226, 18, 3747, 478, 684, 21835, 345, 5158, 470, 289, 749, 31977, 28291, 281, 478, 23739, 17, 12775, 272, 1528, 910, 16536, 743, 15465, 477, 12932, 1061, 30, 20, 18, 9570, 282, 11671, 28220, 39207, 16, 1576, 4651, 334, 1514, 14857, 16, 4167, 309, 41093, 44873, 18, 18816, 1013, 6863, 309, 4577, 282, 19911, 304, 5271, 329, 1047, 898, 9107, 5925, 16, 3387, 1011, 14574, 309, 20017, 1761, 272, 3711, 27955, 6149, 294, 8459, 3723, 35208, 20944, 18, 8615, 19015, 478, 684, 21835, 345, 19240, 470, 47213, 467, 1011, 1763, 38120, 37253, 27751, 575, 774, 4446, 45468, 282, 2456, 3998, 5790, 18, 478, 38617, 274, 470, 309, 1360, 30482, 16, 1586, 5915, 5194, 19439, 519, 6309, 16, 281, 5606, 1879, 2337, 1076, 555, 15774, 323, 16, 11163, 10551, 4038, 11548, 41701, 18, 2046, 2615, 575, 20928, 24627, 478, 684, 21835, 345, 19240, 470, 14268, 294, 1763, 341, 825, 2560, 1616, 18, 28462, 39914, 520, 8561, 24172, 718, 478, 563, 11415, 42979, 470, 2151, 383, 2612, 22850, 1176, 309, 1176, 281, 774, 34544, 304, 17701, 2101, 9055, 323, 29144, 3376, 16, 5076, 1329, 322, 8477, 2048, 16, 428, 35838, 21755, 18, 10611, 33453, 7243, 1475, 25236, 688, 3245, 262, 18, 999, 3736, 879, 11216, 322, 26728, 7203, 12813, 4466 ]
[ 651, 478, 38617, 274, 470, 11637, 36270, 6159, 3276, 37751, 16, 367, 478, 684, 21835, 345, 5158, 470, 334, 17, 6093, 24935, 309, 34565, 333, 1408, 18, 459, 1613, 16, 289, 6555, 8616, 8388, 857, 5907, 3400, 17787, 282, 3012, 12429, 18, 1591, 7422, 44056, 4446, 7737, 49735, 24877, 16, 2686, 16, 428, 5121, 16, 20179, 18, 478, 38617, 274, 470, 3226, 12674, 332, 11216, 309, 11693, 4629, 21755, 18, 4185, 5882, 9732, 5199, 282, 8151, 4629, 16, 38331, 478, 684, 21835, 345, 19240, 470, 11106, 6408, 457, 927, 289, 19346, 31977, 309, 19856, 17, 295, 20537, 18, 2255, 1313, 8851, 39207, 10078, 17, 44606, 309, 4577, 322, 9271, 8382, 16, 282, 502, 808, 428, 478, 38617, 274, 470, 11163, 6915, 13189, 329, 7889, 1258, 7999, 262, 2777, 431, 287, 1011, 1949, 478, 21399, 712, 861, 25021, 292, 282, 25857, 1974, 281, 18042, 2529, 478, 23739, 17, 12775, 272, 1528, 470, 309, 3177, 4577, 478, 983, 4970, 399, 346, 470, 15272, 478, 684, 21835, 345, 363, 1508, 470, 6863, 282, 21854, 7561, 18, 415, 20330, 464, 31977, 457, 927, 7117, 1329, 322, 1109, 16, 32949, 16, 374, 4960, 1314, 9280, 40415, 4769, 289, 281, 8864, 7760, 840, 32110, 965, 475, 1882, 289, 1882, 18, 31312, 10133, 478, 684, 21835, 345, 5158, 910, 1029, 282, 803, 12013, 2397, 282, 1069, 12925, 2852, 2566, 289, 3441, 13514, 957, 16, 24905, 1409, 4189, 1642, 1279, 478, 11008, 2977, 581, 528, 2707, 861, 11333, 6034, 942, 5298, 309, 7759, 33450, 6190, 43535, 1042, 18, 2, 1, 87, 1456, 81, 2448, 30, 1009, 262, 1212, 7421, 322, 6696, 27872, 281, 2483, 3317, 935, 1461, 412, 320, 10369, 758, 1951, 1082, 45786, 2503, 18, 46682, 478, 37075, 470, 289, 478, 49867, 470, 33895, 50066, 9441, 14457, 5771, 16, 988, 24181, 38487, 9318, 505, 36633, 16, 1978, 4934, 3569, 960, 23029, 18, 889, 18019, 5700, 10835, 468, 40808, 16, 24549, 10033, 25727, 2241, 30, 785, 7556, 17993, 33412, 49521, 291, 411, 281, 1822, 1275, 16, 2504, 322, 840, 393, 2704, 16, 1055, 3771, 7275, 305, 1595, 45786, 399, 18, 31224, 30, 471, 28828, 319, 470, 289, 478, 18306, 470, 24181, 590, 13627, 9318, 36633, 7179, 45052, 6507, 45786, 2503, 16, 1978, 4934, 3569, 960, 23029, 282, 8151, 3612, 18, 1367, 803, 282, 9937, 3110, 478, 1182, 375, 26600, 470, 477, 7755, 309, 5771, 16, 2486, 6677, 6271, 7550, 2777, 1690, 289, 6096, 36439, 33895, 7638, 17, 2168, 6926, 50066, 9441, 14457, 18, 9712, 1212, 7421, 45802, 282, 5941, 17926, 697, 3232, 9201, 434, 12717, 294, 45786, 6546, 18, 2949, 924, 16, 2777, 1690, 289, 36439, 6881, 16302, 536, 38963, 10928, 432, 6271, 541, 7256, 267, 1024, 20226, 382, 309, 45786, 2800, 289, 9474, 16506, 309, 22239, 5337, 12077, 9484, 541, 45786, 399, 1385, 9206, 473, 6912, 30751, 16, 374, 24075, 1747, 47315, 6149, 282, 6099, 360, 11035, 5115, 16, 1223, 2993, 639, 953, 2846, 4996, 11035, 814, 47720, 3569, 960, 23029, 16, 2486, 18749, 46070, 2118, 1230, 1212, 32948, 16, 6640, 282, 970, 16, 374, 2950, 11984, 448, 541, 1129, 16743, 1565, 269, 309, 45786, 2800, 2125, 14629, 282, 322, 13077, 5526, 1545, 10575, 16, 753, 309, 1129, 3005, 41523, 25727, 2241, 18, 478, 18306, 470, 1833, 575, 12679, 20075, 1279, 18, 6096, 36439, 2815, 16, 374, 3785, 322, 9733, 47765, 935, 2950, 11984, 448, 16743, 18, 478, 28828, 319, 470, 1655, 6730, 322, 13985, 6406, 16, 2686, 5037, 421, 672, 730, 4210, 5035, 680, 27834, 16, 374, 7059, 15310, 639, 13663, 315, 5022, 27383, 16, 349, 10244, 478, 37075, 861, 365, 9937, 282, 44257, 3232, 412, 21316, 360, 15841, 17245, 16, 5854, 478, 49867, 470, 685, 282, 9937, 19756, 286, 18, 17711, 26255, 523, 411, 459, 1182, 822, 478, 6207, 1748, 300, 691, 470, 10050, 16, 374, 1055, 7835, 322, 3665, 16, 2710, 1717, 21195, 587, 1166, 4364, 309, 19862, 45786, 2800, 651, 2303, 670, 11460, 18, 478, 2176, 9837, 1119, 12980, 1143, 334, 2303, 272, 16, 289, 282, 2630, 281, 2184, 3147, 48768, 17959, 478, 37075, 910, 510, 2548, 41330, 18, 651, 1178, 25727, 2241, 1747, 21440, 1007, 309, 45786, 399, 289, 16379, 49175, 1122, 2303, 16, 309, 33921, 5814, 745, 17899, 505, 322, 8070, 30, 2410, 29475, 5995, 282, 22477, 281, 37141, 14558, 19915, 309, 45786, 2800, 861, 2876, 16, 23751, 12189, 16, 2483, 1157, 1747, 5022, 20316, 20982, 9422, 32362, 18836, 416, 3232, 412, 21316, 478, 37075, 861, 4635, 978, 1230, 1212, 5581, 289, 21980, 322, 15893, 18, 1397, 5327, 478, 49867, 910, 502, 16, 8084, 16, 678, 3957, 8969, 349, 1807, 41083, 3400, 45786, 399, 1385, 15802, 282, 2630, 281, 867, 16, 374, 1717, 45786, 399, 1623, 14340, 23202, 17805, 7796, 6271, 282, 19862, 26764, 486, 1999, 304, 25858, 16, 2548, 41330, 46633, 478, 28516, 440, 296, 470, 6096, 21734, 375, 18, 478, 30688, 2659, 1223, 16, 281, 9919, 758, 41754, 2661, 15155, 289, 25929, 290, 22239, 5337, 12077, 9484, 30, 1055, 290, 4996, 11035, 9206, 1329, 2023, 2955, 16, 367, 281, 33024, 25357, 1163, 979, 329, 30625, 840, 2490, 2844, 13376, 16, 3176, 10412, 18692, 910, 510, 26698, 12189, 18, 365, 10264, 808, 478, 18306, 470, 289, 478, 28828, 319, 470, 2125, 3604, 22773, 309, 2123, 289, 1912, 45786, 399, 1385, 15802, 8774, 18, 1367, 803, 5548, 2815, 9541, 17, 24339, 25510, 16742, 18532, 18, 3569, 960, 23029, 4419, 639, 21775, 25237, 12526, 45786, 2503, 16, 961, 9321, 478, 28828, 319, 910, 515, 282, 10841, 1230, 1212, 5581, 2961, 7102, 27698, 4497, 31727, 20226, 10903, 904, 18, 4794, 2644, 421, 672, 730, 14001, 7282, 18, 11101, 282, 2059, 411, 5781, 15204, 46252, 1385, 6271, 10050, 16, 374, 16, 827, 7064, 10222, 9729, 478, 18306, 272, 470, 289, 478, 49867, 910, 2483, 4151, 3716, 1329, 322, 8633, 18, 478, 563, 9752, 4518, 9971, 11314, 16, 961, 1230, 1212, 7421, 19763, 282, 10264, 808, 16, 773, 49476, 6459, 9, 4853, 17900, 15802, 45786, 2503, 16, 510, 12016, 18290, 478, 32485, 18, 8381, 861, 651, 1178, 478, 28828, 319, 470, 289, 478, 18306, 470, 322, 1747, 47765, 282, 322, 13077, 5526, 1545, 10575, 935, 2950, 11984, 448, 16743, 16, 942, 3111, 290, 970, 16, 374, 309, 45786, 2800, 21704, 1472, 1871, 2241, 861, 889, 44557, 13312, 40834, 27952, 1175, 16, 25482, 18290, 478, 32485, 18, 8381, 11593, 935, 281, 9752, 23563, 20072, 17815, 6166, 28828, 319, 470, 45574, 11418, 334, 45786, 6546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 651, 478, 38617, 274, 470, 11637, 36270, 6159, 3276, 37751, 16, 367, 478, 684, 21835, 345, 5158, 470, 334, 17, 6093, 24935, 309, 34565, 333, 1408, 18, 459, 1613, 16, 289, 6555, 8616, 8388, 857, 5907, 3400, 17787, 282, 3012, 12429, 18, 1591, 7422, 44056, 4446, 7737, 49735, 24877, 16, 2686, 16, 428, 5121, 16, 20179, 18, 478, 38617, 274, 470, 3226, 12674, 332, 11216, 309, 11693, 4629, 21755, 18, 4185, 5882, 9732, 5199, 282, 8151, 4629, 16, 38331, 478, 684, 21835, 345, 19240, 470, 11106, 6408, 457, 927, 289, 19346, 31977, 309, 19856, 17, 295, 20537, 18, 2255, 1313, 8851, 39207, 10078, 17, 44606, 309, 4577, 322, 9271, 8382, 16, 282, 502, 808, 428, 478, 38617, 274, 470, 11163, 6915, 13189, 329, 7889, 1258, 7999, 262, 2777, 431, 287, 1011, 1949, 478, 21399, 712, 861, 25021, 292, 282, 25857, 1974, 281, 18042, 2529, 478, 23739, 17, 12775, 272, 1528, 470, 309, 3177, 4577, 478, 983, 4970, 399, 346, 470, 15272, 478, 684, 21835, 345, 363, 1508, 470, 6863, 282, 21854, 7561, 18, 415, 20330, 464, 31977, 457, 927, 7117, 1329, 322, 1109, 16, 32949, 16, 374, 4960, 1314, 9280, 40415, 4769, 289, 281, 8864, 7760, 840, 32110, 965, 475, 1882, 289, 1882, 18, 31312, 10133, 478, 684, 21835, 345, 5158, 910, 1029, 282, 803, 12013, 2397, 282, 1069, 12925, 2852, 2566, 289, 3441, 13514, 957, 16, 24905, 1409, 4189, 1642, 1279, 478, 11008, 2977, 581, 528, 2707, 861, 11333, 6034, 942, 5298, 309, 7759, 33450, 6190, 43535, 1042, 18, 2, 1, 87, 1456, 81, 2448, 30, 1009, 262, 1212, 7421, 322, 6696, 27872, 281, 2483, 3317, 935, 1461, 412, 320, 10369, 758, 1951, 1082, 45786, 2503, 18, 46682, 478, 37075, 470, 289, 478, 49867, 470, 33895, 50066, 9441, 14457, 5771, 16, 988, 24181, 38487, 9318, 505, 36633, 16, 1978, 4934, 3569, 960, 23029, 18, 889, 18019, 5700, 10835, 468, 40808, 16, 24549, 10033, 25727, 2241, 30, 785, 7556, 17993, 33412, 49521, 291, 411, 281, 1822, 1275, 16, 2504, 322, 840, 393, 2704, 16, 1055, 3771, 7275, 305, 1595, 45786, 399, 18, 31224, 30, 471, 28828, 319, 470, 289, 478, 18306, 470, 24181, 590, 13627, 9318, 36633, 7179, 45052, 6507, 45786, 2503, 16, 1978, 4934, 3569, 960, 23029, 282, 8151, 3612, 18, 1367, 803, 282, 9937, 3110, 478, 1182, 375, 26600, 470, 477, 7755, 309, 5771, 16, 2486, 6677, 6271, 7550, 2777, 1690, 289, 6096, 36439, 33895, 7638, 17, 2168, 6926, 50066, 9441, 14457, 18, 9712, 1212, 7421, 45802, 282, 5941, 17926, 697, 3232, 9201, 434, 12717, 294, 45786, 6546, 18, 2949, 924, 16, 2777, 1690, 289, 36439, 6881, 16302, 536, 38963, 10928, 432, 6271, 541, 7256, 267, 1024, 20226, 382, 309, 45786, 2800, 289, 9474, 16506, 309, 22239, 5337, 12077, 9484, 541, 45786, 399, 1385, 9206, 473, 6912, 30751, 16, 374, 24075, 1747, 47315, 6149, 282, 6099, 360, 11035, 5115, 16, 1223, 2993, 639, 953, 2846, 4996, 11035, 814, 47720, 3569, 960, 23029, 16, 2486, 18749, 46070, 2118, 1230, 1212, 32948, 16, 6640, 282, 970, 16, 374, 2950, 11984, 448, 541, 1129, 16743, 1565, 269, 309, 45786, 2800, 2125, 14629, 282, 322, 13077, 5526, 1545, 10575, 16, 753, 309, 1129, 3005, 41523, 25727, 2241, 18, 478, 18306, 470, 1833, 575, 12679, 20075, 1279, 18, 6096, 36439, 2815, 16, 374, 3785, 322, 9733, 47765, 935, 2950, 11984, 448, 16743, 18, 478, 28828, 319, 470, 1655, 6730, 322, 13985, 6406, 16, 2686, 5037, 421, 672, 730, 4210, 5035, 680, 27834, 16, 374, 7059, 15310, 639, 13663, 315, 5022, 27383, 16, 349, 10244, 478, 37075, 861, 365, 9937, 282, 44257, 3232, 412, 21316, 360, 15841, 17245, 16, 5854, 478, 49867, 470, 685, 282, 9937, 19756, 286, 18, 17711, 26255, 523, 411, 459, 1182, 822, 478, 6207, 1748, 300, 691, 470, 10050, 16, 374, 1055, 7835, 322, 3665, 16, 2710, 1717, 21195, 587, 1166, 4364, 309, 19862, 45786, 2800, 651, 2303, 670, 11460, 18, 478, 2176, 9837, 1119, 12980, 1143, 334, 2303, 272, 16, 289, 282, 2630, 281, 2184, 3147, 48768, 17959, 478, 37075, 910, 510, 2548, 41330, 18, 651, 1178, 25727, 2241, 1747, 21440, 1007, 309, 45786, 399, 289, 16379, 49175, 1122, 2303, 16, 309, 33921, 5814, 745, 17899, 505, 322, 8070, 30, 2410, 29475, 5995, 282, 22477, 281, 37141, 14558, 19915, 309, 45786, 2800, 861, 2876, 16, 23751, 12189, 16, 2483, 1157, 1747, 5022, 20316, 20982, 9422, 32362, 18836, 416, 3232, 412, 21316, 478, 37075, 861, 4635, 978, 1230, 1212, 5581, 289, 21980, 322, 15893, 18, 1397, 5327, 478, 49867, 910, 502, 16, 8084, 16, 678, 3957, 8969, 349, 1807, 41083, 3400, 45786, 399, 1385, 15802, 282, 2630, 281, 867, 16, 374, 1717, 45786, 399, 1623, 14340, 23202, 17805, 7796, 6271, 282, 19862, 26764, 486, 1999, 304, 25858, 16, 2548, 41330, 46633, 478, 28516, 440, 296, 470, 6096, 21734, 375, 18, 478, 30688, 2659, 1223, 16, 281, 9919, 758, 41754, 2661, 15155, 289, 25929, 290, 22239, 5337, 12077, 9484, 30, 1055, 290, 4996, 11035, 9206, 1329, 2023, 2955, 16, 367, 281, 33024, 25357, 1163, 979, 329, 30625, 840, 2490, 2844, 13376, 16, 3176, 10412, 18692, 910, 510, 26698, 12189, 18, 365, 10264, 808, 478, 18306, 470, 289, 478, 28828, 319, 470, 2125, 3604, 22773, 309, 2123, 289, 1912, 45786, 399, 1385, 15802, 8774, 18, 1367, 803, 5548, 2815, 9541, 17, 24339, 25510, 16742, 18532, 18, 3569, 960, 23029, 4419, 639, 21775, 25237, 12526, 45786, 2503, 16, 961, 9321, 478, 28828, 319, 910, 515, 282, 10841, 1230, 1212, 5581, 2961, 7102, 27698, 4497, 31727, 20226, 10903, 904, 18, 4794, 2644, 421, 672, 730, 14001, 7282, 18, 11101, 282, 2059, 411, 5781, 15204, 46252, 1385, 6271, 10050, 16, 374, 16, 827, 7064, 10222, 9729, 478, 18306, 272, 470, 289, 478, 49867, 910, 2483, 4151, 3716, 1329, 322, 8633, 18, 478, 563, 9752, 4518, 9971, 11314, 16, 961, 1230, 1212, 7421, 19763, 282, 10264, 808, 16, 773, 49476, 6459, 9, 4853, 17900, 15802, 45786, 2503, 16, 510, 12016, 18290, 478, 32485, 18, 8381, 861, 651, 1178, 478, 28828, 319, 470, 289, 478, 18306, 470, 322, 1747, 47765, 282, 322, 13077, 5526, 1545, 10575, 935, 2950, 11984, 448, 16743, 16, 942, 3111, 290, 970, 16, 374, 309, 45786, 2800, 21704, 1472, 1871, 2241, 861, 889, 44557, 13312, 40834, 27952, 1175, 16, 25482, 18290, 478, 32485, 18, 8381, 11593, 935, 281, 9752, 23563, 20072, 17815, 6166, 28828, 319, 470, 45574, 11418, 334, 45786, 6546 ]
[ 281, 13198, 8992, 92, 461, 49, 4166, 787, 1624, 35115, 12141, 77, 289, 26923, 680, 2109, 26599, 787, 13, 289, 5471, 9594, 8468, 4497, 31727, 20226, 382, 16, 1574, 3149, 322, 840, 24800, 15733, 954, 36633, 45786, 2503, 18, 478, 24686, 1143, 6367, 16, 867, 3230, 43508, 16, 867, 6847, 41530, 289, 13458, 3236, 32163, 16, 510, 16405, 7897, 18, 651, 365, 28986, 4190, 16, 785, 9818, 2403, 24828, 3404, 15371, 34750, 20992, 49521, 291, 411, 1003, 12072, 4568, 11861, 473, 11838, 16, 281, 1822, 1275, 839, 11460, 289, 2303, 934, 11433, 509, 23144, 282, 2968, 15773, 1223, 349, 1293, 986, 18, 459, 2504, 322, 840, 5837, 6551, 16, 1055, 678, 282, 3178, 31218, 840, 27944, 7726, 1595, 45786, 399, 861, 740, 282, 4599, 4546, 1608, 10928, 432, 6271, 14697, 22806, 281, 478, 28828, 12411, 470, 289, 478, 18306, 304, 861, 608, 1230, 1212, 32948, 912, 10808, 10928, 448, 12272, 16, 2548, 4770, 19504, 478, 7128, 25258, 2021, 470, 4210, 4015, 3141, 18, 439, 21843, 9773, 282, 45786, 399, 1385, 23626, 478, 28828, 319, 470, 289, 478, 18306, 470, 1698, 40971, 1507, 16, 4292, 3664, 309, 2768, 334, 47218, 20072, 7987, 16, 26698, 492, 30, 478, 4441, 28215, 4703, 16219, 289, 6721, 10268, 14369, 1608, 10928, 432, 18911, 861, 2, 1, 87, 1456, 81, 2448, 30, 1140, 928, 839, 13056, 802, 1033, 42029, 24024, 2973, 47596, 309, 504, 414, 16, 1029, 2780, 29483, 17359, 309, 13519, 11056, 18, 5890, 1314, 2891, 2553, 6354, 20508, 1519, 519, 3417, 4500, 18, 1135, 18, 7249, 309, 481, 16, 10933, 30420, 322, 21038, 30362, 360, 26716, 309, 5081, 18, 31224, 30, 2176, 413, 14960, 24024, 3173, 47596, 439, 877, 9851, 309, 12542, 504, 414, 22100, 2891, 45184, 20508, 1519, 11476, 3417, 4500, 18, 1135, 16, 44531, 282, 3405, 24, 22587, 29183, 18, 365, 2630, 281, 38299, 304, 8214, 7919, 47794, 282, 18081, 282, 29437, 18248, 7754, 391, 877, 2244, 17, 43972, 19903, 326, 2364, 1409, 4500, 18, 11462, 18, 824, 3761, 584, 7357, 47481, 933, 14777, 21040, 21746, 16, 20255, 19107, 47794, 20542, 1032, 4500, 18, 4995, 16, 282, 502, 808, 428, 13567, 11570, 1880, 16301, 44157, 3063, 5695, 6555, 18001, 651, 21547, 646, 4995, 18, 7824, 2837, 10027, 334, 8169, 536, 6295, 277, 45184, 1576, 857, 16, 374, 282, 25670, 1587, 294, 21881, 392, 50197, 726, 6181, 15612, 47794, 27428, 282, 474, 14716, 345, 47372, 18, 3026, 45505, 16, 374, 912, 475, 15661, 2742, 764, 1033, 42029, 24024, 2973, 18, 478, 40881, 15367, 16499, 475, 5511, 25829, 473, 2260, 35625, 1683, 13, 5017, 4028, 5426, 18, 889, 6411, 16, 374, 11048, 764, 19831, 24024, 2973, 30124, 2749, 910, 510, 12002, 282, 27246, 18, 1598, 551, 3173, 47596, 439, 877, 9851, 10243, 282, 5017, 7314, 11877, 289, 2518, 1323, 282, 11084, 18, 478, 16563, 23992, 47596, 11895, 282, 20030, 272, 6248, 429, 6507, 24024, 2973, 16, 282, 7623, 2083, 492, 9280, 28172, 1855, 39065, 18, 740, 656, 2125, 10846, 15665, 289, 36014, 3775, 19599, 16, 7569, 434, 24024, 2973, 16, 510, 4848, 20065, 282, 43950, 2414, 528, 19234, 7188, 363, 5902, 18, 824, 505, 3163, 16, 439, 877, 9851, 895, 10846, 28172, 1855, 39065, 764, 282, 3178, 5196, 18, 3557, 5547, 16, 15417, 282, 43950, 3063, 45184, 3828, 290, 43544, 16, 2456, 12896, 5066, 9461, 541, 5447, 4568, 30384, 18, 439, 877, 9851, 651, 1176, 411, 6566, 21881, 609, 309, 12542, 16, 6048, 1807, 43470, 2848, 505, 10780, 18, 365, 43950, 16, 2024, 49928, 13056, 802, 10786, 8044, 16, 2780, 29483, 7256, 267, 353, 4846, 17359, 4101, 1272, 5196, 18, 999, 13180, 5284, 8044, 7754, 25829, 22228, 4733, 15437, 2808, 289, 47794, 289, 12697, 44883, 6063, 1927, 560, 329, 35625, 332, 47596, 18, 824, 3163, 13005, 16, 24024, 3173, 16, 2486, 10243, 282, 5017, 1779, 12241, 16, 1623, 453, 5374, 1116, 469, 35536, 12096, 7569, 304, 651, 13865, 16, 371, 2114, 21509, 20403, 6248, 429, 30943, 282, 15021, 281, 6097, 14978, 20447, 670, 3128, 18, 824, 3163, 282, 43950, 13103, 9783, 3141, 403, 4237, 293, 1458, 16, 334, 5492, 45334, 47794, 16, 25421, 2989, 282, 18081, 16, 942, 14044, 290, 28712, 47596, 289, 9456, 16, 281, 1754, 12052, 16, 13329, 289, 39065, 25421, 467, 411, 35625, 332, 18, 478, 6161, 21214, 670, 4733, 15437, 47794, 19196, 5450, 13772, 360, 360, 11315, 16, 481, 6411, 16, 374, 7872, 939, 16485, 18, 40196, 16, 281, 1754, 39065, 25421, 305, 16, 289, 505, 4982, 16, 17728, 17936, 16, 309, 2588, 492, 22347, 910, 510, 10703, 12987, 18, 12167, 445, 1177, 282, 43950, 24024, 40436, 282, 19295, 1045, 16, 1011, 1033, 16, 828, 594, 986, 349, 17953, 274, 16, 1655, 24024, 3173, 46207, 1939, 2868, 16, 505, 27782, 2458, 25013, 1135, 18, 3529, 282, 3198, 3193, 1001, 1020, 15392, 1816, 37599, 898, 4451, 10197, 35947, 282, 43950, 10632, 16, 27698, 4733, 331, 9439, 6248, 918, 19967, 3610, 5752, 34184, 18, 365, 4542, 6705, 24024, 2973, 20255, 4733, 8783, 47794, 5575, 455, 4016, 8482, 16, 30937, 11775, 18, 6083, 516, 11048, 44542, 24024, 3173, 47596, 12547, 453, 22168, 1927, 890, 394, 651, 7149, 12886, 27039, 16, 45430, 309, 14165, 2165, 47596, 16, 961, 42264, 411, 21497, 21881, 24248, 47794, 289, 32409, 1406, 3128, 18, 365, 6588, 360, 15646, 7149, 10561, 37599, 16, 1927, 890, 394, 473, 275, 18554, 281, 10162, 651, 6376, 3222, 1927, 342, 13, 14417, 3084, 35953, 334, 568, 400, 14067, 553, 30937, 42407, 15218, 18, 365, 11526, 1555, 30680, 11775, 411, 28865, 718, 7377, 5501, 925, 16, 374, 3888, 21881, 27846, 5998, 309, 11360, 895, 24960, 360, 29533, 30737, 18, 640, 21673, 7375, 12682, 745, 12362, 16, 374, 1293, 2634, 986, 2158, 45675, 24024, 2973, 1342, 6047, 933, 21881, 609, 26756, 4803, 1011, 46263, 1803, 303, 540, 542, 30737, 18, 18162, 25814, 622, 4497, 1340, 32039, 34727, 26770, 1525, 4563, 2169, 567, 808, 43156, 2849, 291, 18, 478, 6014, 503, 427, 30737, 16, 14380, 448, 5406, 16, 41439, 467, 26770, 564, 6269, 1051, 282, 21881, 307, 3728, 21247, 15209, 18, 365, 7375, 12682, 16, 481, 16684, 1299, 1033, 771, 10479, 697, 24024, 2973, 353, 910, 510, 5273, 5184, 1810, 43828, 5830, 385, 2106, 280, 38278, 18, 640, 13519, 11056, 1342, 6047, 1133, 4497, 1340, 45505, 290, 38508, 24024, 4513, 47596, 625, 4790, 2880, 13632, 306, 280, 526, 16, 1220, 10250, 40692, 32242, 21881, 547, 282, 4008, 18, 21886, 16, 374, 17359, 47596, 3525, 2961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 13198, 8992, 92, 461, 49, 4166, 787, 1624, 35115, 12141, 77, 289, 26923, 680, 2109, 26599, 787, 13, 289, 5471, 9594, 8468, 4497, 31727, 20226, 382, 16, 1574, 3149, 322, 840, 24800, 15733, 954, 36633, 45786, 2503, 18, 478, 24686, 1143, 6367, 16, 867, 3230, 43508, 16, 867, 6847, 41530, 289, 13458, 3236, 32163, 16, 510, 16405, 7897, 18, 651, 365, 28986, 4190, 16, 785, 9818, 2403, 24828, 3404, 15371, 34750, 20992, 49521, 291, 411, 1003, 12072, 4568, 11861, 473, 11838, 16, 281, 1822, 1275, 839, 11460, 289, 2303, 934, 11433, 509, 23144, 282, 2968, 15773, 1223, 349, 1293, 986, 18, 459, 2504, 322, 840, 5837, 6551, 16, 1055, 678, 282, 3178, 31218, 840, 27944, 7726, 1595, 45786, 399, 861, 740, 282, 4599, 4546, 1608, 10928, 432, 6271, 14697, 22806, 281, 478, 28828, 12411, 470, 289, 478, 18306, 304, 861, 608, 1230, 1212, 32948, 912, 10808, 10928, 448, 12272, 16, 2548, 4770, 19504, 478, 7128, 25258, 2021, 470, 4210, 4015, 3141, 18, 439, 21843, 9773, 282, 45786, 399, 1385, 23626, 478, 28828, 319, 470, 289, 478, 18306, 470, 1698, 40971, 1507, 16, 4292, 3664, 309, 2768, 334, 47218, 20072, 7987, 16, 26698, 492, 30, 478, 4441, 28215, 4703, 16219, 289, 6721, 10268, 14369, 1608, 10928, 432, 18911, 861, 2, 1, 87, 1456, 81, 2448, 30, 1140, 928, 839, 13056, 802, 1033, 42029, 24024, 2973, 47596, 309, 504, 414, 16, 1029, 2780, 29483, 17359, 309, 13519, 11056, 18, 5890, 1314, 2891, 2553, 6354, 20508, 1519, 519, 3417, 4500, 18, 1135, 18, 7249, 309, 481, 16, 10933, 30420, 322, 21038, 30362, 360, 26716, 309, 5081, 18, 31224, 30, 2176, 413, 14960, 24024, 3173, 47596, 439, 877, 9851, 309, 12542, 504, 414, 22100, 2891, 45184, 20508, 1519, 11476, 3417, 4500, 18, 1135, 16, 44531, 282, 3405, 24, 22587, 29183, 18, 365, 2630, 281, 38299, 304, 8214, 7919, 47794, 282, 18081, 282, 29437, 18248, 7754, 391, 877, 2244, 17, 43972, 19903, 326, 2364, 1409, 4500, 18, 11462, 18, 824, 3761, 584, 7357, 47481, 933, 14777, 21040, 21746, 16, 20255, 19107, 47794, 20542, 1032, 4500, 18, 4995, 16, 282, 502, 808, 428, 13567, 11570, 1880, 16301, 44157, 3063, 5695, 6555, 18001, 651, 21547, 646, 4995, 18, 7824, 2837, 10027, 334, 8169, 536, 6295, 277, 45184, 1576, 857, 16, 374, 282, 25670, 1587, 294, 21881, 392, 50197, 726, 6181, 15612, 47794, 27428, 282, 474, 14716, 345, 47372, 18, 3026, 45505, 16, 374, 912, 475, 15661, 2742, 764, 1033, 42029, 24024, 2973, 18, 478, 40881, 15367, 16499, 475, 5511, 25829, 473, 2260, 35625, 1683, 13, 5017, 4028, 5426, 18, 889, 6411, 16, 374, 11048, 764, 19831, 24024, 2973, 30124, 2749, 910, 510, 12002, 282, 27246, 18, 1598, 551, 3173, 47596, 439, 877, 9851, 10243, 282, 5017, 7314, 11877, 289, 2518, 1323, 282, 11084, 18, 478, 16563, 23992, 47596, 11895, 282, 20030, 272, 6248, 429, 6507, 24024, 2973, 16, 282, 7623, 2083, 492, 9280, 28172, 1855, 39065, 18, 740, 656, 2125, 10846, 15665, 289, 36014, 3775, 19599, 16, 7569, 434, 24024, 2973, 16, 510, 4848, 20065, 282, 43950, 2414, 528, 19234, 7188, 363, 5902, 18, 824, 505, 3163, 16, 439, 877, 9851, 895, 10846, 28172, 1855, 39065, 764, 282, 3178, 5196, 18, 3557, 5547, 16, 15417, 282, 43950, 3063, 45184, 3828, 290, 43544, 16, 2456, 12896, 5066, 9461, 541, 5447, 4568, 30384, 18, 439, 877, 9851, 651, 1176, 411, 6566, 21881, 609, 309, 12542, 16, 6048, 1807, 43470, 2848, 505, 10780, 18, 365, 43950, 16, 2024, 49928, 13056, 802, 10786, 8044, 16, 2780, 29483, 7256, 267, 353, 4846, 17359, 4101, 1272, 5196, 18, 999, 13180, 5284, 8044, 7754, 25829, 22228, 4733, 15437, 2808, 289, 47794, 289, 12697, 44883, 6063, 1927, 560, 329, 35625, 332, 47596, 18, 824, 3163, 13005, 16, 24024, 3173, 16, 2486, 10243, 282, 5017, 1779, 12241, 16, 1623, 453, 5374, 1116, 469, 35536, 12096, 7569, 304, 651, 13865, 16, 371, 2114, 21509, 20403, 6248, 429, 30943, 282, 15021, 281, 6097, 14978, 20447, 670, 3128, 18, 824, 3163, 282, 43950, 13103, 9783, 3141, 403, 4237, 293, 1458, 16, 334, 5492, 45334, 47794, 16, 25421, 2989, 282, 18081, 16, 942, 14044, 290, 28712, 47596, 289, 9456, 16, 281, 1754, 12052, 16, 13329, 289, 39065, 25421, 467, 411, 35625, 332, 18, 478, 6161, 21214, 670, 4733, 15437, 47794, 19196, 5450, 13772, 360, 360, 11315, 16, 481, 6411, 16, 374, 7872, 939, 16485, 18, 40196, 16, 281, 1754, 39065, 25421, 305, 16, 289, 505, 4982, 16, 17728, 17936, 16, 309, 2588, 492, 22347, 910, 510, 10703, 12987, 18, 12167, 445, 1177, 282, 43950, 24024, 40436, 282, 19295, 1045, 16, 1011, 1033, 16, 828, 594, 986, 349, 17953, 274, 16, 1655, 24024, 3173, 46207, 1939, 2868, 16, 505, 27782, 2458, 25013, 1135, 18, 3529, 282, 3198, 3193, 1001, 1020, 15392, 1816, 37599, 898, 4451, 10197, 35947, 282, 43950, 10632, 16, 27698, 4733, 331, 9439, 6248, 918, 19967, 3610, 5752, 34184, 18, 365, 4542, 6705, 24024, 2973, 20255, 4733, 8783, 47794, 5575, 455, 4016, 8482, 16, 30937, 11775, 18, 6083, 516, 11048, 44542, 24024, 3173, 47596, 12547, 453, 22168, 1927, 890, 394, 651, 7149, 12886, 27039, 16, 45430, 309, 14165, 2165, 47596, 16, 961, 42264, 411, 21497, 21881, 24248, 47794, 289, 32409, 1406, 3128, 18, 365, 6588, 360, 15646, 7149, 10561, 37599, 16, 1927, 890, 394, 473, 275, 18554, 281, 10162, 651, 6376, 3222, 1927, 342, 13, 14417, 3084, 35953, 334, 568, 400, 14067, 553, 30937, 42407, 15218, 18, 365, 11526, 1555, 30680, 11775, 411, 28865, 718, 7377, 5501, 925, 16, 374, 3888, 21881, 27846, 5998, 309, 11360, 895, 24960, 360, 29533, 30737, 18, 640, 21673, 7375, 12682, 745, 12362, 16, 374, 1293, 2634, 986, 2158, 45675, 24024, 2973, 1342, 6047, 933, 21881, 609, 26756, 4803, 1011, 46263, 1803, 303, 540, 542, 30737, 18, 18162, 25814, 622, 4497, 1340, 32039, 34727, 26770, 1525, 4563, 2169, 567, 808, 43156, 2849, 291, 18, 478, 6014, 503, 427, 30737, 16, 14380, 448, 5406, 16, 41439, 467, 26770, 564, 6269, 1051, 282, 21881, 307, 3728, 21247, 15209, 18, 365, 7375, 12682, 16, 481, 16684, 1299, 1033, 771, 10479, 697, 24024, 2973, 353, 910, 510, 5273, 5184, 1810, 43828, 5830, 385, 2106, 280, 38278, 18, 640, 13519, 11056, 1342, 6047, 1133, 4497, 1340, 45505, 290, 38508, 24024, 4513, 47596, 625, 4790, 2880, 13632, 306, 280, 526, 16, 1220, 10250, 40692, 32242, 21881, 547, 282, 4008, 18, 21886, 16, 374, 17359, 47596, 3525, 2961 ]
[ 40361, 282, 5975, 808, 18, 9758, 28809, 478, 9500, 2523, 470, 5040, 9461, 18, 478, 563, 956, 2154, 35467, 24665, 622, 282, 4599, 924, 16, 428, 840, 19339, 6295, 910, 510, 6442, 282, 44157, 14040, 12895, 18, 439, 4479, 1205, 9271, 8382, 21084, 9576, 24024, 8498, 282, 7375, 12682, 47596, 281, 1854, 4258, 331, 511, 2248, 12418, 7848, 7485, 274, 399, 1042, 280, 12586, 368, 446, 526, 18, 27289, 1120, 4964, 978, 24024, 2973, 1559, 38299, 19107, 47794, 16, 411, 17, 431, 2024, 282, 8698, 2095, 5538, 639, 9072, 20620, 3824, 562, 262, 348, 2357, 18, 2, 1, 87, 1456, 81, 2448, 30, 11648, 2457, 509, 9350, 282, 31755, 426, 15732, 282, 34004, 9388, 306, 1011, 924, 16, 428, 282, 4008, 9600, 1958, 811, 3672, 3481, 512, 15392, 274, 18, 9668, 11919, 40540, 6470, 686, 660, 44923, 965, 12984, 43098, 8470, 13496, 6664, 289, 5568, 15709, 877, 309, 16043, 16, 988, 12219, 1269, 28923, 2497, 44661, 18, 2320, 282, 3106, 43108, 434, 15465, 726, 27631, 2145, 289, 1817, 2044, 45970, 11908, 18, 1789, 554, 331, 282, 3106, 8264, 2815, 16, 374, 708, 35630, 282, 4008, 32788, 289, 475, 28918, 624, 2145, 18, 31224, 30, 22681, 31755, 1018, 35339, 1789, 554, 331, 5962, 3003, 15993, 7741, 49184, 5888, 1880, 32788, 289, 475, 28918, 624, 282, 2145, 18, 824, 505, 3163, 16, 492, 322, 15279, 14799, 281, 5174, 4830, 31755, 1018, 18, 817, 1038, 5692, 16, 374, 2002, 322, 39243, 360, 20394, 1188, 1360, 1244, 2344, 18, 3557, 5547, 16, 282, 31755, 426, 36544, 33462, 44661, 428, 21669, 1789, 554, 331, 16, 453, 289, 505, 23036, 16, 6177, 7426, 4362, 475, 1143, 16, 15833, 5671, 3595, 4903, 873, 6059, 18, 7384, 49184, 5888, 1162, 25656, 549, 8967, 8101, 83, 42799, 565, 282, 43287, 8977, 16, 374, 816, 6862, 1135, 898, 28384, 334, 3025, 4008, 282, 4542, 3806, 43853, 2794, 38395, 18, 824, 3761, 25656, 1051, 16, 349, 3703, 3612, 639, 10570, 315, 45439, 1135, 18, 967, 803, 3405, 3612, 898, 28384, 12060, 1631, 16, 367, 764, 7760, 4419, 510, 10384, 1135, 18, 21886, 1038, 16, 374, 3703, 3612, 567, 808, 46726, 29140, 2261, 19427, 3920, 18, 33736, 697, 3422, 322, 45378, 18, 7249, 309, 502, 16, 374, 33462, 44661, 16, 14380, 448, 17971, 12402, 21285, 282, 4008, 16, 3721, 887, 282, 31755, 426, 289, 4419, 16, 1273, 19882, 22172, 10050, 16, 374, 282, 1177, 445, 282, 1129, 24648, 24695, 5630, 7620, 13611, 7663, 16, 961, 4419, 36410, 16504, 323, 1789, 554, 331, 18, 478, 35434, 282, 31755, 426, 1143, 322, 4400, 305, 44458, 334, 5083, 5439, 18, 2320, 48368, 5517, 18802, 1195, 6170, 12554, 9534, 1441, 11263, 21523, 16, 2650, 322, 50032, 537, 1188, 828, 16, 753, 10030, 329, 2891, 18, 889, 5416, 9017, 910, 510, 5301, 10958, 18, 3747, 8768, 17634, 3142, 906, 282, 10416, 13983, 11148, 409, 16, 678, 4424, 23736, 282, 6730, 22323, 3481, 512, 15392, 274, 18, 889, 4243, 411, 17, 431, 13125, 542, 4806, 17777, 8448, 5355, 11919, 12859, 2334, 6470, 686, 660, 2252, 536, 12984, 2553, 18, 365, 3106, 43108, 434, 15465, 31755, 1018, 6470, 686, 660, 726, 25262, 2145, 289, 1293, 2044, 45970, 11908, 18, 403, 28036, 1612, 8448, 26932, 6470, 686, 660, 282, 3106, 43108, 434, 4830, 31755, 1018, 25262, 2145, 16, 43901, 16, 17392, 274, 16, 24855, 324, 16, 35747, 16, 22707, 29177, 16, 42117, 17, 730, 3245, 16, 528, 342, 7158, 455, 16, 11537, 554, 2423, 16, 29705, 429, 16, 22120, 746, 16, 3918, 807, 542, 16, 11468, 297, 2880, 289, 39102, 18, 1681, 1826, 454, 19427, 6822, 16328, 289, 4770, 5670, 12198, 22875, 5888, 4048, 1368, 18, 824, 505, 3163, 16, 19793, 478, 1567, 2374, 1211, 18172, 20854, 470, 282, 4008, 1011, 478, 32058, 6037, 434, 13125, 542, 12984, 31755, 1018, 5696, 507, 1789, 554, 331, 861, 478, 1358, 6129, 15346, 28921, 289, 14567, 7630, 15455, 2634, 7741, 49184, 5888, 1275, 16, 961, 45376, 349, 1423, 10866, 910, 510, 4725, 4048, 1368, 309, 1360, 7759, 282, 43287, 18, 3782, 1683, 536, 32125, 282, 11148, 409, 16, 4053, 22666, 282, 31755, 426, 16, 2756, 14729, 21680, 1321, 1789, 554, 331, 6470, 686, 660, 2145, 18, 985, 10050, 22881, 14331, 13699, 718, 7377, 19209, 4048, 3509, 345, 16, 3003, 4830, 5035, 35109, 34031, 11211, 15465, 7741, 49184, 5888, 680, 17344, 12859, 2334, 6470, 686, 660, 282, 3106, 29277, 4830, 2553, 15156, 37895, 382, 541, 37640, 553, 11220, 16, 10050, 13205, 24036, 44938, 18, 1598, 17, 431, 13062, 34031, 1441, 2003, 13446, 478, 13027, 15859, 38005, 910, 1586, 13190, 847, 567, 11574, 12384, 2145, 16, 5273, 44938, 18, 478, 4441, 3844, 1368, 354, 5862, 2083, 16, 417, 373, 12377, 33044, 37640, 553, 910, 510, 2548, 12189, 18, 824, 3163, 4048, 3509, 345, 16, 37640, 783, 4096, 840, 428, 309, 44275, 16, 453, 289, 309, 26962, 32134, 16, 478, 24333, 3672, 1789, 554, 331, 12514, 475, 22627, 16, 753, 8879, 5873, 23564, 3873, 8053, 289, 4534, 861, 985, 10050, 4048, 3509, 345, 16, 2628, 16, 3771, 289, 9807, 282, 11171, 322, 24445, 10122, 12456, 1789, 554, 331, 16, 2686, 745, 7187, 373, 478, 370, 314, 4844, 319, 37681, 25836, 861, 25886, 375, 289, 5343, 16, 11583, 42557, 282, 22945, 2553, 18, 25886, 375, 6153, 3064, 4843, 6695, 5096, 282, 14852, 668, 38327, 2553, 18, 31529, 40157, 19967, 4843, 3420, 5096, 349, 4101, 2511, 986, 18, 4794, 3674, 898, 4590, 318, 10056, 343, 1508, 282, 3106, 6146, 3536, 18, 25652, 17, 15975, 4830, 1175, 6370, 26334, 9299, 16, 374, 5343, 5273, 5696, 507, 1789, 554, 331, 43108, 536, 12984, 16, 30634, 16, 374, 38049, 349, 3195, 1055, 322, 48273, 18, 13925, 4770, 1175, 4137, 6732, 7609, 32742, 4077, 281, 1789, 554, 331, 16, 282, 2114, 18519, 1963, 294, 9029, 1864, 18, 24295, 5222, 16328, 975, 1423, 8156, 16, 3110, 3781, 17, 9952, 21569, 18, 478, 22681, 1175, 16328, 8156, 43182, 25567, 31755, 1018, 282, 4190, 22444, 9104, 31782, 41561, 2804, 3960, 12920, 346, 12142, 18, 1681, 1477, 2345, 16, 374, 744, 2676, 11265, 46450, 31308, 14895, 852, 1592, 305, 48705, 1733, 14471, 12672, 3018, 18, 1012, 1319, 709, 282, 4356, 14141, 10120, 282, 4301, 12128, 5355, 4629, 289, 45541, 24891, 6454, 282, 7741, 49184, 5888, 1212, 9981, 6929, 27667, 31858, 910, 510, 5130, 282, 9907, 18, 7249, 309, 3251, 668, 8156, 1789, 554, 331, 16, 2955, 5285, 2102, 16, 374, 5343, 30010, 315, 12417 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40361, 282, 5975, 808, 18, 9758, 28809, 478, 9500, 2523, 470, 5040, 9461, 18, 478, 563, 956, 2154, 35467, 24665, 622, 282, 4599, 924, 16, 428, 840, 19339, 6295, 910, 510, 6442, 282, 44157, 14040, 12895, 18, 439, 4479, 1205, 9271, 8382, 21084, 9576, 24024, 8498, 282, 7375, 12682, 47596, 281, 1854, 4258, 331, 511, 2248, 12418, 7848, 7485, 274, 399, 1042, 280, 12586, 368, 446, 526, 18, 27289, 1120, 4964, 978, 24024, 2973, 1559, 38299, 19107, 47794, 16, 411, 17, 431, 2024, 282, 8698, 2095, 5538, 639, 9072, 20620, 3824, 562, 262, 348, 2357, 18, 2, 1, 87, 1456, 81, 2448, 30, 11648, 2457, 509, 9350, 282, 31755, 426, 15732, 282, 34004, 9388, 306, 1011, 924, 16, 428, 282, 4008, 9600, 1958, 811, 3672, 3481, 512, 15392, 274, 18, 9668, 11919, 40540, 6470, 686, 660, 44923, 965, 12984, 43098, 8470, 13496, 6664, 289, 5568, 15709, 877, 309, 16043, 16, 988, 12219, 1269, 28923, 2497, 44661, 18, 2320, 282, 3106, 43108, 434, 15465, 726, 27631, 2145, 289, 1817, 2044, 45970, 11908, 18, 1789, 554, 331, 282, 3106, 8264, 2815, 16, 374, 708, 35630, 282, 4008, 32788, 289, 475, 28918, 624, 2145, 18, 31224, 30, 22681, 31755, 1018, 35339, 1789, 554, 331, 5962, 3003, 15993, 7741, 49184, 5888, 1880, 32788, 289, 475, 28918, 624, 282, 2145, 18, 824, 505, 3163, 16, 492, 322, 15279, 14799, 281, 5174, 4830, 31755, 1018, 18, 817, 1038, 5692, 16, 374, 2002, 322, 39243, 360, 20394, 1188, 1360, 1244, 2344, 18, 3557, 5547, 16, 282, 31755, 426, 36544, 33462, 44661, 428, 21669, 1789, 554, 331, 16, 453, 289, 505, 23036, 16, 6177, 7426, 4362, 475, 1143, 16, 15833, 5671, 3595, 4903, 873, 6059, 18, 7384, 49184, 5888, 1162, 25656, 549, 8967, 8101, 83, 42799, 565, 282, 43287, 8977, 16, 374, 816, 6862, 1135, 898, 28384, 334, 3025, 4008, 282, 4542, 3806, 43853, 2794, 38395, 18, 824, 3761, 25656, 1051, 16, 349, 3703, 3612, 639, 10570, 315, 45439, 1135, 18, 967, 803, 3405, 3612, 898, 28384, 12060, 1631, 16, 367, 764, 7760, 4419, 510, 10384, 1135, 18, 21886, 1038, 16, 374, 3703, 3612, 567, 808, 46726, 29140, 2261, 19427, 3920, 18, 33736, 697, 3422, 322, 45378, 18, 7249, 309, 502, 16, 374, 33462, 44661, 16, 14380, 448, 17971, 12402, 21285, 282, 4008, 16, 3721, 887, 282, 31755, 426, 289, 4419, 16, 1273, 19882, 22172, 10050, 16, 374, 282, 1177, 445, 282, 1129, 24648, 24695, 5630, 7620, 13611, 7663, 16, 961, 4419, 36410, 16504, 323, 1789, 554, 331, 18, 478, 35434, 282, 31755, 426, 1143, 322, 4400, 305, 44458, 334, 5083, 5439, 18, 2320, 48368, 5517, 18802, 1195, 6170, 12554, 9534, 1441, 11263, 21523, 16, 2650, 322, 50032, 537, 1188, 828, 16, 753, 10030, 329, 2891, 18, 889, 5416, 9017, 910, 510, 5301, 10958, 18, 3747, 8768, 17634, 3142, 906, 282, 10416, 13983, 11148, 409, 16, 678, 4424, 23736, 282, 6730, 22323, 3481, 512, 15392, 274, 18, 889, 4243, 411, 17, 431, 13125, 542, 4806, 17777, 8448, 5355, 11919, 12859, 2334, 6470, 686, 660, 2252, 536, 12984, 2553, 18, 365, 3106, 43108, 434, 15465, 31755, 1018, 6470, 686, 660, 726, 25262, 2145, 289, 1293, 2044, 45970, 11908, 18, 403, 28036, 1612, 8448, 26932, 6470, 686, 660, 282, 3106, 43108, 434, 4830, 31755, 1018, 25262, 2145, 16, 43901, 16, 17392, 274, 16, 24855, 324, 16, 35747, 16, 22707, 29177, 16, 42117, 17, 730, 3245, 16, 528, 342, 7158, 455, 16, 11537, 554, 2423, 16, 29705, 429, 16, 22120, 746, 16, 3918, 807, 542, 16, 11468, 297, 2880, 289, 39102, 18, 1681, 1826, 454, 19427, 6822, 16328, 289, 4770, 5670, 12198, 22875, 5888, 4048, 1368, 18, 824, 505, 3163, 16, 19793, 478, 1567, 2374, 1211, 18172, 20854, 470, 282, 4008, 1011, 478, 32058, 6037, 434, 13125, 542, 12984, 31755, 1018, 5696, 507, 1789, 554, 331, 861, 478, 1358, 6129, 15346, 28921, 289, 14567, 7630, 15455, 2634, 7741, 49184, 5888, 1275, 16, 961, 45376, 349, 1423, 10866, 910, 510, 4725, 4048, 1368, 309, 1360, 7759, 282, 43287, 18, 3782, 1683, 536, 32125, 282, 11148, 409, 16, 4053, 22666, 282, 31755, 426, 16, 2756, 14729, 21680, 1321, 1789, 554, 331, 6470, 686, 660, 2145, 18, 985, 10050, 22881, 14331, 13699, 718, 7377, 19209, 4048, 3509, 345, 16, 3003, 4830, 5035, 35109, 34031, 11211, 15465, 7741, 49184, 5888, 680, 17344, 12859, 2334, 6470, 686, 660, 282, 3106, 29277, 4830, 2553, 15156, 37895, 382, 541, 37640, 553, 11220, 16, 10050, 13205, 24036, 44938, 18, 1598, 17, 431, 13062, 34031, 1441, 2003, 13446, 478, 13027, 15859, 38005, 910, 1586, 13190, 847, 567, 11574, 12384, 2145, 16, 5273, 44938, 18, 478, 4441, 3844, 1368, 354, 5862, 2083, 16, 417, 373, 12377, 33044, 37640, 553, 910, 510, 2548, 12189, 18, 824, 3163, 4048, 3509, 345, 16, 37640, 783, 4096, 840, 428, 309, 44275, 16, 453, 289, 309, 26962, 32134, 16, 478, 24333, 3672, 1789, 554, 331, 12514, 475, 22627, 16, 753, 8879, 5873, 23564, 3873, 8053, 289, 4534, 861, 985, 10050, 4048, 3509, 345, 16, 2628, 16, 3771, 289, 9807, 282, 11171, 322, 24445, 10122, 12456, 1789, 554, 331, 16, 2686, 745, 7187, 373, 478, 370, 314, 4844, 319, 37681, 25836, 861, 25886, 375, 289, 5343, 16, 11583, 42557, 282, 22945, 2553, 18, 25886, 375, 6153, 3064, 4843, 6695, 5096, 282, 14852, 668, 38327, 2553, 18, 31529, 40157, 19967, 4843, 3420, 5096, 349, 4101, 2511, 986, 18, 4794, 3674, 898, 4590, 318, 10056, 343, 1508, 282, 3106, 6146, 3536, 18, 25652, 17, 15975, 4830, 1175, 6370, 26334, 9299, 16, 374, 5343, 5273, 5696, 507, 1789, 554, 331, 43108, 536, 12984, 16, 30634, 16, 374, 38049, 349, 3195, 1055, 322, 48273, 18, 13925, 4770, 1175, 4137, 6732, 7609, 32742, 4077, 281, 1789, 554, 331, 16, 282, 2114, 18519, 1963, 294, 9029, 1864, 18, 24295, 5222, 16328, 975, 1423, 8156, 16, 3110, 3781, 17, 9952, 21569, 18, 478, 22681, 1175, 16328, 8156, 43182, 25567, 31755, 1018, 282, 4190, 22444, 9104, 31782, 41561, 2804, 3960, 12920, 346, 12142, 18, 1681, 1477, 2345, 16, 374, 744, 2676, 11265, 46450, 31308, 14895, 852, 1592, 305, 48705, 1733, 14471, 12672, 3018, 18, 1012, 1319, 709, 282, 4356, 14141, 10120, 282, 4301, 12128, 5355, 4629, 289, 45541, 24891, 6454, 282, 7741, 49184, 5888, 1212, 9981, 6929, 27667, 31858, 910, 510, 5130, 282, 9907, 18, 7249, 309, 3251, 668, 8156, 1789, 554, 331, 16, 2955, 5285, 2102, 16, 374, 5343, 30010, 315, 12417 ]
[ 488, 2712, 26423, 16, 753, 12369, 16, 5870, 43846, 16171, 329, 17344, 18, 12280, 8097, 16, 374, 48948, 1175, 282, 1335, 4008, 1623, 2702, 26713, 36971, 4137, 999, 339, 778, 1624, 1029, 4452, 282, 1335, 9515, 726, 1033, 1533, 986, 18, 817, 1038, 5931, 282, 9515, 4477, 354, 466, 22969, 3875, 282, 10056, 343, 409, 764, 282, 8151, 11238, 17, 292, 18, 478, 2176, 937, 309, 1047, 3084, 16, 515, 502, 374, 492, 5931, 2944, 289, 3365, 2453, 3675, 683, 991, 454, 11065, 1333, 975, 8826, 910, 510, 1109, 1176, 411, 7725, 1051, 478, 32485, 18, 8381, 910, 661, 1587, 7179, 6116, 3997, 18, 640, 39332, 12142, 282, 31755, 426, 282, 3507, 44082, 10744, 290, 8040, 6466, 5703, 2145, 282, 17758, 282, 4008, 18, 26966, 5854, 7179, 11896, 8909, 21106, 401, 282, 1423, 3678, 9321, 16, 374, 282, 31755, 426, 3621, 478, 267, 4111, 2891, 282, 579, 4267, 9484, 861, 29957, 3589, 6106, 22699, 282, 27561, 281, 478, 18386, 18, 8381, 470, 1176, 411, 16644, 5781, 9985, 712, 16, 1372, 2339, 282, 1335, 4008, 18, 478, 6889, 711, 1454, 3515, 14111, 31308, 567, 18192, 1101, 910, 510, 1109, 18290, 10195, 16, 30634, 16, 374, 1800, 282, 31755, 426, 478, 324, 1429, 305, 3111, 14655, 861, 967, 803, 3333, 38143, 1789, 554, 331, 1965, 322, 282, 25391, 360, 3775, 3819, 10125, 1218, 36918, 434, 4830, 4134, 7796, 1333, 16, 367, 3229, 1223, 2145, 18, 37729, 7586, 478, 49017, 14030, 470, 1624, 21576, 22881, 14331, 16986, 11065, 9487, 17461, 45970, 11908, 18748, 4944, 17444, 3930, 5273, 16, 374, 478, 418, 3732, 31308, 2145, 282, 1101, 31755, 1018, 6993, 35950, 25838, 861, 478, 677, 4675, 808, 36441, 1121, 5346, 282, 9484, 734, 1496, 645, 416, 46946, 1809, 2793, 18, 640, 2891, 31755, 1018, 8405, 22299, 2837, 8947, 3878, 11440, 18, 26180, 2128, 9322, 11220, 827, 289, 28648, 16, 502, 687, 477, 1963, 26318, 20853, 2145, 16, 282, 4698, 3678, 22707, 17621, 289, 22643, 16, 281, 6133, 329, 31755, 1018, 912, 19465, 8535, 910, 510, 17857, 1829, 17444, 3930, 18, 29556, 490, 8861, 282, 31755, 426, 18220, 12016, 31895, 36441, 282, 1175, 1251, 12984, 289, 6296, 12230, 282, 12354, 11525, 779, 16, 2548, 282, 27561, 281, 478, 7128, 305, 323, 18, 8381, 470, 11350, 17, 6845, 33179, 30483, 17, 4574, 49184, 5888, 718, 450, 713, 346, 7067, 4137, 385, 2749, 361, 18, 967, 803, 23024, 10050, 16, 374, 13013, 322, 478, 19033, 305, 50100, 4075, 910, 367, 1038, 322, 1943, 1852, 23360, 32940, 1251, 9609, 289, 2145, 18, 478, 630, 636, 406, 27506, 537, 282, 17607, 1750, 322, 2353, 34143, 874, 7741, 49184, 5888, 2127, 11422, 910, 510, 3893, 385, 2749, 361, 18, 6735, 1757, 32614, 541, 1175, 282, 1967, 4190, 16, 639, 373, 478, 5275, 3194, 9029, 1864, 470, 510, 481, 6721, 8969, 6688, 282, 4008, 16, 3893, 492, 18, 478, 684, 6095, 656, 2669, 44214, 3559, 282, 11976, 27486, 281, 8448, 2206, 910, 510, 2548, 12189, 18, 478, 19479, 29082, 5708, 31858, 17344, 289, 2891, 16, 8940, 290, 30504, 1527, 3860, 282, 4008, 4385, 18, 740, 1789, 554, 331, 309, 481, 322, 3419, 16, 15804, 1634, 40399, 420, 30964, 6484, 8470, 13496, 9377, 16, 3297, 277, 10776, 36200, 13411, 18, 365, 803, 2530, 1386, 11599, 18, 2876, 7171, 806, 7734, 2954, 5042, 530, 309, 7626, 910, 510, 2548, 478, 46088, 18, 8381, 470, 21576, 22881, 14331, 17461, 45970, 11908, 18748, 48477, 981, 807, 297, 1231, 18, 35091, 7670, 17990, 6196, 334, 28705, 31858, 1251, 1279, 19568, 366, 12764, 36244, 726, 6455, 7638, 17, 13522, 11254, 39434, 331, 6258, 17823, 18, 365, 4542, 3692, 434, 11330, 281, 7741, 49184, 5888, 1703, 8448, 12231, 21340, 12859, 8676, 6470, 686, 660, 492, 2815, 16, 374, 478, 24832, 3276, 289, 25194, 470, 9945, 36599, 12142, 282, 31755, 426, 2458, 373, 11031, 6677, 4000, 18, 967, 803, 40852, 7638, 4725, 16, 374, 322, 7501, 1812, 282, 43108, 617, 2891, 6470, 686, 660, 289, 20280, 5767, 40614, 31755, 1018, 18, 403, 9029, 1864, 281, 4586, 12317, 4496, 47220, 4830, 2553, 289, 18165, 14995, 9085, 35198, 6470, 1049, 301, 16, 32949, 16, 374, 492, 6721, 478, 511, 636, 1676, 18802, 289, 37640, 553, 861, 4320, 42031, 10222, 520, 1789, 554, 331, 309, 20412, 281, 4586, 12317, 4496, 510, 4770, 2553, 1055, 492, 322, 22699, 2900, 8261, 18, 2320, 6548, 40902, 510, 10169, 16, 1586, 31851, 975, 31223, 622, 18, 3261, 1815, 1789, 554, 331, 385, 2749, 361, 17029, 4830, 478, 10161, 11164, 406, 28990, 910, 15127, 8010, 2024, 1314, 478, 272, 1774, 360, 11220, 470, 289, 29441, 20412, 18, 15779, 536, 13746, 685, 373, 49741, 10652, 2064, 4830, 411, 10056, 343, 507, 16, 753, 387, 1024, 5466, 8448, 16427, 18, 2, 1, 87, 1456, 81, 2448, 30, 24785, 7855, 34905, 45458, 282, 16565, 1698, 953, 11864, 322, 687, 281, 14685, 23472, 18874, 282, 18020, 18, 3654, 481, 16405, 309, 3860, 281, 17171, 16, 13737, 42286, 11775, 18, 31224, 30, 24785, 7855, 34905, 45458, 282, 16565, 1698, 953, 4849, 1518, 16907, 434, 2208, 274, 434, 13223, 18, 385, 7071, 7455, 9242, 19341, 42286, 11775, 309, 2972, 7033, 282, 5875, 368, 317, 22297, 9964, 1442, 49859, 26155, 18, 1651, 552, 1183, 510, 22794, 3228, 27026, 955, 272, 10637, 1195, 8785, 536, 16, 8503, 16, 374, 23257, 1623, 45328, 40526, 8037, 34994, 18, 478, 2176, 466, 15033, 34724, 16, 374, 827, 1337, 5425, 282, 16565, 334, 20674, 473, 742, 552, 1183, 934, 329, 1304, 895, 7491, 506, 16907, 539, 2208, 274, 539, 11440, 670, 575, 14685, 3041, 18874, 282, 18020, 16, 510, 9848, 5184, 5981, 7110, 2725, 299, 460, 2124, 315, 411, 46273, 11635, 686, 17, 789, 3345, 5927, 282, 3580, 385, 12018, 295, 18, 510, 1178, 329, 1304, 9280, 7491, 506, 940, 552, 1183, 16, 6384, 4251, 294, 4453, 37784, 281, 14503, 9434, 6935, 2208, 274, 539, 11440, 289, 33225, 11744, 861, 40986, 783, 20452, 282, 5875, 368, 317, 22297, 281, 4518, 334, 5741, 3990, 16, 282, 1420, 14963, 3455, 1038, 289, 25850, 31642, 1340, 18, 365, 4542, 31972, 9487, 42286, 11775, 21338, 294, 5042, 395, 16, 374, 940, 552, 1183, 895, 953, 40526, 16907, 434, 12519, 11744, 282, 18020, 18, 365, 6588, 360, 5303, 16711, 2044, 16, 40109, 23800, 912, 1143, 11744, 289, 697, 8884, 1033, 5139, 1151, 294, 2856, 1804, 6520, 16, 329, 1129, 5511, 478, 820, 1349, 470, 11440, 18, 365, 3177, 16876, 30680, 42286, 11775 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 488, 2712, 26423, 16, 753, 12369, 16, 5870, 43846, 16171, 329, 17344, 18, 12280, 8097, 16, 374, 48948, 1175, 282, 1335, 4008, 1623, 2702, 26713, 36971, 4137, 999, 339, 778, 1624, 1029, 4452, 282, 1335, 9515, 726, 1033, 1533, 986, 18, 817, 1038, 5931, 282, 9515, 4477, 354, 466, 22969, 3875, 282, 10056, 343, 409, 764, 282, 8151, 11238, 17, 292, 18, 478, 2176, 937, 309, 1047, 3084, 16, 515, 502, 374, 492, 5931, 2944, 289, 3365, 2453, 3675, 683, 991, 454, 11065, 1333, 975, 8826, 910, 510, 1109, 1176, 411, 7725, 1051, 478, 32485, 18, 8381, 910, 661, 1587, 7179, 6116, 3997, 18, 640, 39332, 12142, 282, 31755, 426, 282, 3507, 44082, 10744, 290, 8040, 6466, 5703, 2145, 282, 17758, 282, 4008, 18, 26966, 5854, 7179, 11896, 8909, 21106, 401, 282, 1423, 3678, 9321, 16, 374, 282, 31755, 426, 3621, 478, 267, 4111, 2891, 282, 579, 4267, 9484, 861, 29957, 3589, 6106, 22699, 282, 27561, 281, 478, 18386, 18, 8381, 470, 1176, 411, 16644, 5781, 9985, 712, 16, 1372, 2339, 282, 1335, 4008, 18, 478, 6889, 711, 1454, 3515, 14111, 31308, 567, 18192, 1101, 910, 510, 1109, 18290, 10195, 16, 30634, 16, 374, 1800, 282, 31755, 426, 478, 324, 1429, 305, 3111, 14655, 861, 967, 803, 3333, 38143, 1789, 554, 331, 1965, 322, 282, 25391, 360, 3775, 3819, 10125, 1218, 36918, 434, 4830, 4134, 7796, 1333, 16, 367, 3229, 1223, 2145, 18, 37729, 7586, 478, 49017, 14030, 470, 1624, 21576, 22881, 14331, 16986, 11065, 9487, 17461, 45970, 11908, 18748, 4944, 17444, 3930, 5273, 16, 374, 478, 418, 3732, 31308, 2145, 282, 1101, 31755, 1018, 6993, 35950, 25838, 861, 478, 677, 4675, 808, 36441, 1121, 5346, 282, 9484, 734, 1496, 645, 416, 46946, 1809, 2793, 18, 640, 2891, 31755, 1018, 8405, 22299, 2837, 8947, 3878, 11440, 18, 26180, 2128, 9322, 11220, 827, 289, 28648, 16, 502, 687, 477, 1963, 26318, 20853, 2145, 16, 282, 4698, 3678, 22707, 17621, 289, 22643, 16, 281, 6133, 329, 31755, 1018, 912, 19465, 8535, 910, 510, 17857, 1829, 17444, 3930, 18, 29556, 490, 8861, 282, 31755, 426, 18220, 12016, 31895, 36441, 282, 1175, 1251, 12984, 289, 6296, 12230, 282, 12354, 11525, 779, 16, 2548, 282, 27561, 281, 478, 7128, 305, 323, 18, 8381, 470, 11350, 17, 6845, 33179, 30483, 17, 4574, 49184, 5888, 718, 450, 713, 346, 7067, 4137, 385, 2749, 361, 18, 967, 803, 23024, 10050, 16, 374, 13013, 322, 478, 19033, 305, 50100, 4075, 910, 367, 1038, 322, 1943, 1852, 23360, 32940, 1251, 9609, 289, 2145, 18, 478, 630, 636, 406, 27506, 537, 282, 17607, 1750, 322, 2353, 34143, 874, 7741, 49184, 5888, 2127, 11422, 910, 510, 3893, 385, 2749, 361, 18, 6735, 1757, 32614, 541, 1175, 282, 1967, 4190, 16, 639, 373, 478, 5275, 3194, 9029, 1864, 470, 510, 481, 6721, 8969, 6688, 282, 4008, 16, 3893, 492, 18, 478, 684, 6095, 656, 2669, 44214, 3559, 282, 11976, 27486, 281, 8448, 2206, 910, 510, 2548, 12189, 18, 478, 19479, 29082, 5708, 31858, 17344, 289, 2891, 16, 8940, 290, 30504, 1527, 3860, 282, 4008, 4385, 18, 740, 1789, 554, 331, 309, 481, 322, 3419, 16, 15804, 1634, 40399, 420, 30964, 6484, 8470, 13496, 9377, 16, 3297, 277, 10776, 36200, 13411, 18, 365, 803, 2530, 1386, 11599, 18, 2876, 7171, 806, 7734, 2954, 5042, 530, 309, 7626, 910, 510, 2548, 478, 46088, 18, 8381, 470, 21576, 22881, 14331, 17461, 45970, 11908, 18748, 48477, 981, 807, 297, 1231, 18, 35091, 7670, 17990, 6196, 334, 28705, 31858, 1251, 1279, 19568, 366, 12764, 36244, 726, 6455, 7638, 17, 13522, 11254, 39434, 331, 6258, 17823, 18, 365, 4542, 3692, 434, 11330, 281, 7741, 49184, 5888, 1703, 8448, 12231, 21340, 12859, 8676, 6470, 686, 660, 492, 2815, 16, 374, 478, 24832, 3276, 289, 25194, 470, 9945, 36599, 12142, 282, 31755, 426, 2458, 373, 11031, 6677, 4000, 18, 967, 803, 40852, 7638, 4725, 16, 374, 322, 7501, 1812, 282, 43108, 617, 2891, 6470, 686, 660, 289, 20280, 5767, 40614, 31755, 1018, 18, 403, 9029, 1864, 281, 4586, 12317, 4496, 47220, 4830, 2553, 289, 18165, 14995, 9085, 35198, 6470, 1049, 301, 16, 32949, 16, 374, 492, 6721, 478, 511, 636, 1676, 18802, 289, 37640, 553, 861, 4320, 42031, 10222, 520, 1789, 554, 331, 309, 20412, 281, 4586, 12317, 4496, 510, 4770, 2553, 1055, 492, 322, 22699, 2900, 8261, 18, 2320, 6548, 40902, 510, 10169, 16, 1586, 31851, 975, 31223, 622, 18, 3261, 1815, 1789, 554, 331, 385, 2749, 361, 17029, 4830, 478, 10161, 11164, 406, 28990, 910, 15127, 8010, 2024, 1314, 478, 272, 1774, 360, 11220, 470, 289, 29441, 20412, 18, 15779, 536, 13746, 685, 373, 49741, 10652, 2064, 4830, 411, 10056, 343, 507, 16, 753, 387, 1024, 5466, 8448, 16427, 18, 2, 1, 87, 1456, 81, 2448, 30, 24785, 7855, 34905, 45458, 282, 16565, 1698, 953, 11864, 322, 687, 281, 14685, 23472, 18874, 282, 18020, 18, 3654, 481, 16405, 309, 3860, 281, 17171, 16, 13737, 42286, 11775, 18, 31224, 30, 24785, 7855, 34905, 45458, 282, 16565, 1698, 953, 4849, 1518, 16907, 434, 2208, 274, 434, 13223, 18, 385, 7071, 7455, 9242, 19341, 42286, 11775, 309, 2972, 7033, 282, 5875, 368, 317, 22297, 9964, 1442, 49859, 26155, 18, 1651, 552, 1183, 510, 22794, 3228, 27026, 955, 272, 10637, 1195, 8785, 536, 16, 8503, 16, 374, 23257, 1623, 45328, 40526, 8037, 34994, 18, 478, 2176, 466, 15033, 34724, 16, 374, 827, 1337, 5425, 282, 16565, 334, 20674, 473, 742, 552, 1183, 934, 329, 1304, 895, 7491, 506, 16907, 539, 2208, 274, 539, 11440, 670, 575, 14685, 3041, 18874, 282, 18020, 16, 510, 9848, 5184, 5981, 7110, 2725, 299, 460, 2124, 315, 411, 46273, 11635, 686, 17, 789, 3345, 5927, 282, 3580, 385, 12018, 295, 18, 510, 1178, 329, 1304, 9280, 7491, 506, 940, 552, 1183, 16, 6384, 4251, 294, 4453, 37784, 281, 14503, 9434, 6935, 2208, 274, 539, 11440, 289, 33225, 11744, 861, 40986, 783, 20452, 282, 5875, 368, 317, 22297, 281, 4518, 334, 5741, 3990, 16, 282, 1420, 14963, 3455, 1038, 289, 25850, 31642, 1340, 18, 365, 4542, 31972, 9487, 42286, 11775, 21338, 294, 5042, 395, 16, 374, 940, 552, 1183, 895, 953, 40526, 16907, 434, 12519, 11744, 282, 18020, 18, 365, 6588, 360, 5303, 16711, 2044, 16, 40109, 23800, 912, 1143, 11744, 289, 697, 8884, 1033, 5139, 1151, 294, 2856, 1804, 6520, 16, 329, 1129, 5511, 478, 820, 1349, 470, 11440, 18, 365, 3177, 16876, 30680, 42286, 11775 ]
[ 24661, 31619, 5024, 290, 16907, 547, 3465, 2431, 289, 940, 552, 950, 2496, 10608, 6837, 5303, 22123, 1714, 11319, 473, 8108, 21443, 2959, 421, 746, 607, 16, 27633, 934, 961, 15143, 16544, 668, 18071, 7574, 282, 7847, 1045, 18, 967, 803, 282, 9404, 19959, 38828, 1749, 281, 23057, 24100, 19, 7181, 289, 3230, 18, 2112, 11806, 289, 18578, 13840, 14006, 11775, 29838, 16, 374, 6841, 16907, 434, 2208, 274, 434, 13223, 6353, 37478, 281, 18183, 46716, 282, 16565, 349, 3765, 18, 478, 4348, 29838, 16, 374, 47234, 34905, 45458, 282, 16565, 11864, 281, 40217, 19959, 4417, 20688, 11440, 309, 4317, 7418, 510, 4848, 2124, 315, 18, 510, 459, 828, 5511, 387, 7013, 781, 16, 867, 3230, 6841, 861, 47090, 16, 374, 411, 45181, 1135, 16, 1131, 42012, 282, 30680, 16, 1912, 12555, 473, 14184, 18314, 30121, 360, 940, 552, 950, 18, 824, 3163, 12546, 2124, 315, 16, 7005, 322, 11767, 467, 9799, 516, 4284, 315, 17, 782, 6731, 6807, 1251, 940, 16834, 355, 289, 16907, 536, 23057, 289, 322, 1698, 40570, 12745, 309, 10359, 1888, 2044, 349, 13952, 10440, 18, 478, 563, 29909, 895, 953, 11666, 19513, 27578, 4447, 14006, 16, 2567, 428, 1089, 1354, 16, 33225, 11744, 16, 739, 27846, 37128, 289, 19020, 525, 529, 32681, 5768, 910, 510, 9848, 20293, 18, 478, 5786, 6639, 647, 2208, 274, 539, 11440, 510, 3125, 2837, 23257, 282, 10440, 18, 6765, 968, 33225, 11744, 329, 813, 4896, 4652, 1533, 32364, 282, 1119, 16, 374, 1033, 828, 282, 1272, 4570, 17045, 11099, 265, 18336, 16174, 473, 24, 336, 814, 32354, 26639, 33225, 11744, 9245, 281, 7168, 24032, 400, 339, 294, 705, 2627, 12109, 2675, 289, 37775, 281, 477, 13432, 48586, 16, 2391, 13965, 20661, 11744, 4525, 9193, 18, 3688, 2636, 46925, 289, 10640, 16907, 434, 13223, 939, 28791, 541, 35113, 27351, 17, 31512, 10442, 12615, 910, 510, 9848, 7110, 6420, 1159, 262, 768, 2025, 347, 16, 10914, 755, 9964, 18, 4756, 24737, 411, 5675, 22624, 718, 38329, 10712, 37960, 19600, 33862, 431, 541, 8390, 349, 26782, 27351, 17, 31512, 1746, 2926, 18, 3568, 12021, 2394, 10516, 19760, 16174, 9357, 416, 10072, 10414, 15586, 281, 349, 1746, 416, 10017, 1941, 16148, 1330, 18, 6644, 1205, 11095, 4164, 14034, 3741, 8640, 349, 1746, 416, 10017, 1941, 16148, 617, 18, 365, 3178, 5196, 1011, 8761, 1465, 411, 15064, 14596, 15586, 40110, 281, 9357, 416, 10072, 7679, 2206, 18, 9051, 15324, 15427, 954, 40801, 840, 8622, 13254, 349, 26782, 15586, 16, 785, 518, 1747, 329, 965, 1642, 18, 10411, 5929, 33862, 431, 3814, 9368, 8578, 353, 541, 31494, 33014, 39820, 289, 10206, 1873, 14822, 6786, 16, 35016, 5009, 9393, 6786, 16, 2208, 274, 434, 13223, 16, 9910, 2005, 4829, 23397, 304, 16, 367, 1038, 17384, 4829, 16, 2972, 6090, 1248, 3978, 281, 8864, 17192, 18, 19325, 451, 44237, 840, 40092, 5296, 14732, 289, 282, 1750, 505, 13029, 1443, 27604, 5024, 31642, 2414, 395, 18, 9639, 3149, 4360, 17882, 13029, 1443, 764, 519, 11769, 1820, 432, 37410, 289, 4226, 10072, 10414, 16285, 1472, 7517, 2206, 329, 12074, 18, 2949, 924, 16, 19600, 8350, 26417, 14154, 2764, 510, 10556, 349, 9357, 668, 10072, 32015, 9469, 15586, 4896, 2364, 4843, 16041, 4500, 18, 282, 1205, 16, 282, 502, 808, 428, 12846, 2900, 575, 7919, 15586, 1926, 522, 2608, 510, 1472, 4843, 4003, 4500, 18, 4756, 48031, 24737, 387, 31505, 15661, 25086, 329, 5164, 16, 3348, 411, 11289, 432, 37410, 1623, 12697, 4829, 282, 23407, 670, 469, 508, 414, 1751, 18, 9873, 978, 16, 14697, 31616, 14446, 2904, 309, 5836, 6101, 5636, 16, 41306, 36582, 411, 477, 2449, 16, 7443, 382, 16, 16881, 289, 311, 18, 280, 18, 967, 17354, 25086, 329, 6052, 895, 953, 47214, 16, 282, 8819, 281, 2208, 274, 758, 4442, 4869, 18, 7651, 10377, 1134, 27838, 8265, 1038, 1698, 953, 30945, 19923, 18017, 16, 3860, 281, 23407, 6757, 41315, 1525, 289, 41306, 5836, 16836, 454, 271, 18, 365, 5329, 16, 16775, 8876, 31616, 14204, 506, 329, 492, 10202, 1041, 371, 14183, 12187, 1408, 510, 32694, 282, 3705, 705, 39264, 46802, 289, 33698, 16, 3498, 675, 9991, 351, 2165, 16, 5577, 432, 35733, 1489, 292, 16, 29352, 2166, 292, 289, 4036, 1615, 1165, 282, 5636, 670, 988, 17, 3697, 764, 16, 25784, 281, 43223, 979, 289, 336, 8366, 1525, 16, 32694, 5244, 289, 13098, 1244, 9338, 289, 37217, 18497, 426, 281, 13687, 8964, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 16640, 23229, 22028, 2854, 10722, 13526, 5579, 17, 14723, 4226, 12381, 318, 43503, 1728, 474, 8108, 347, 282, 43308, 35557, 15161, 28893, 37637, 6235, 16, 11750, 286, 613, 14683, 289, 9798, 19361, 24306, 18, 18816, 1013, 309, 502, 16, 374, 492, 8633, 309, 9515, 13526, 16, 43348, 16, 16144, 14697, 18, 31224, 30, 30348, 303, 465, 2854, 10722, 13526, 5579, 17, 14723, 9540, 474, 8844, 4830, 282, 43308, 35557, 15161, 19287, 37637, 6235, 18, 15066, 22517, 2766, 282, 10666, 14900, 6370, 16640, 510, 1223, 1248, 1293, 3139, 1011, 924, 16, 428, 8348, 381, 31330, 27458, 1441, 726, 8851, 15689, 2001, 18182, 43503, 18, 33768, 16, 374, 37637, 6235, 840, 26697, 2089, 8892, 519, 924, 16, 428, 840, 5063, 798, 6574, 2959, 4090, 13526, 18, 2263, 474, 8844, 282, 16294, 1055, 322, 4674, 937, 18, 478, 16385, 492, 1623, 22028, 2854, 10722, 16, 492, 895, 4153, 4138, 1871, 9515, 910, 510, 2548, 7897, 282, 32094, 18, 478, 29971, 3771, 470, 726, 2742, 19934, 334, 6574, 49195, 309, 3059, 13526, 5579, 17, 14723, 16, 961, 678, 428, 10080, 11248, 282, 10564, 547, 26862, 14683, 49804, 7410, 4000, 16, 3828, 14995, 587, 22696, 6700, 15748, 4210, 7323, 2477, 18, 817, 15488, 16, 374, 371, 15645, 16249, 10080, 840, 50137, 411, 924, 16, 374, 1332, 1943, 43381, 478, 30808, 38468, 289, 31468, 11291, 3860, 5303, 5579, 17, 14723, 861, 11101, 478, 29025, 507, 470, 282, 46168, 37637, 6235, 3828, 290, 970, 16, 374, 16281, 474, 8108, 347, 840, 282, 14526, 6574, 1861, 309, 3059, 13526, 18, 824, 505, 3163, 16, 9441, 14457, 6656, 1474, 530, 282, 3178, 2059, 17, 44300, 8560, 18, 4320, 474, 8844, 3164, 282, 3507, 16, 515, 895, 38267, 282, 14957, 726, 282, 9937, 18, 365, 1423, 3678, 16, 4958, 6839, 17115, 14683, 20015, 726, 3436, 4160, 30700, 541, 12755, 26128, 4090, 6677, 18, 37637, 6235, 11451, 33244, 38345, 309, 6911, 9515, 282, 7583, 2891, 16, 515, 687, 322, 282, 6677, 14683, 18, 5360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24661, 31619, 5024, 290, 16907, 547, 3465, 2431, 289, 940, 552, 950, 2496, 10608, 6837, 5303, 22123, 1714, 11319, 473, 8108, 21443, 2959, 421, 746, 607, 16, 27633, 934, 961, 15143, 16544, 668, 18071, 7574, 282, 7847, 1045, 18, 967, 803, 282, 9404, 19959, 38828, 1749, 281, 23057, 24100, 19, 7181, 289, 3230, 18, 2112, 11806, 289, 18578, 13840, 14006, 11775, 29838, 16, 374, 6841, 16907, 434, 2208, 274, 434, 13223, 6353, 37478, 281, 18183, 46716, 282, 16565, 349, 3765, 18, 478, 4348, 29838, 16, 374, 47234, 34905, 45458, 282, 16565, 11864, 281, 40217, 19959, 4417, 20688, 11440, 309, 4317, 7418, 510, 4848, 2124, 315, 18, 510, 459, 828, 5511, 387, 7013, 781, 16, 867, 3230, 6841, 861, 47090, 16, 374, 411, 45181, 1135, 16, 1131, 42012, 282, 30680, 16, 1912, 12555, 473, 14184, 18314, 30121, 360, 940, 552, 950, 18, 824, 3163, 12546, 2124, 315, 16, 7005, 322, 11767, 467, 9799, 516, 4284, 315, 17, 782, 6731, 6807, 1251, 940, 16834, 355, 289, 16907, 536, 23057, 289, 322, 1698, 40570, 12745, 309, 10359, 1888, 2044, 349, 13952, 10440, 18, 478, 563, 29909, 895, 953, 11666, 19513, 27578, 4447, 14006, 16, 2567, 428, 1089, 1354, 16, 33225, 11744, 16, 739, 27846, 37128, 289, 19020, 525, 529, 32681, 5768, 910, 510, 9848, 20293, 18, 478, 5786, 6639, 647, 2208, 274, 539, 11440, 510, 3125, 2837, 23257, 282, 10440, 18, 6765, 968, 33225, 11744, 329, 813, 4896, 4652, 1533, 32364, 282, 1119, 16, 374, 1033, 828, 282, 1272, 4570, 17045, 11099, 265, 18336, 16174, 473, 24, 336, 814, 32354, 26639, 33225, 11744, 9245, 281, 7168, 24032, 400, 339, 294, 705, 2627, 12109, 2675, 289, 37775, 281, 477, 13432, 48586, 16, 2391, 13965, 20661, 11744, 4525, 9193, 18, 3688, 2636, 46925, 289, 10640, 16907, 434, 13223, 939, 28791, 541, 35113, 27351, 17, 31512, 10442, 12615, 910, 510, 9848, 7110, 6420, 1159, 262, 768, 2025, 347, 16, 10914, 755, 9964, 18, 4756, 24737, 411, 5675, 22624, 718, 38329, 10712, 37960, 19600, 33862, 431, 541, 8390, 349, 26782, 27351, 17, 31512, 1746, 2926, 18, 3568, 12021, 2394, 10516, 19760, 16174, 9357, 416, 10072, 10414, 15586, 281, 349, 1746, 416, 10017, 1941, 16148, 1330, 18, 6644, 1205, 11095, 4164, 14034, 3741, 8640, 349, 1746, 416, 10017, 1941, 16148, 617, 18, 365, 3178, 5196, 1011, 8761, 1465, 411, 15064, 14596, 15586, 40110, 281, 9357, 416, 10072, 7679, 2206, 18, 9051, 15324, 15427, 954, 40801, 840, 8622, 13254, 349, 26782, 15586, 16, 785, 518, 1747, 329, 965, 1642, 18, 10411, 5929, 33862, 431, 3814, 9368, 8578, 353, 541, 31494, 33014, 39820, 289, 10206, 1873, 14822, 6786, 16, 35016, 5009, 9393, 6786, 16, 2208, 274, 434, 13223, 16, 9910, 2005, 4829, 23397, 304, 16, 367, 1038, 17384, 4829, 16, 2972, 6090, 1248, 3978, 281, 8864, 17192, 18, 19325, 451, 44237, 840, 40092, 5296, 14732, 289, 282, 1750, 505, 13029, 1443, 27604, 5024, 31642, 2414, 395, 18, 9639, 3149, 4360, 17882, 13029, 1443, 764, 519, 11769, 1820, 432, 37410, 289, 4226, 10072, 10414, 16285, 1472, 7517, 2206, 329, 12074, 18, 2949, 924, 16, 19600, 8350, 26417, 14154, 2764, 510, 10556, 349, 9357, 668, 10072, 32015, 9469, 15586, 4896, 2364, 4843, 16041, 4500, 18, 282, 1205, 16, 282, 502, 808, 428, 12846, 2900, 575, 7919, 15586, 1926, 522, 2608, 510, 1472, 4843, 4003, 4500, 18, 4756, 48031, 24737, 387, 31505, 15661, 25086, 329, 5164, 16, 3348, 411, 11289, 432, 37410, 1623, 12697, 4829, 282, 23407, 670, 469, 508, 414, 1751, 18, 9873, 978, 16, 14697, 31616, 14446, 2904, 309, 5836, 6101, 5636, 16, 41306, 36582, 411, 477, 2449, 16, 7443, 382, 16, 16881, 289, 311, 18, 280, 18, 967, 17354, 25086, 329, 6052, 895, 953, 47214, 16, 282, 8819, 281, 2208, 274, 758, 4442, 4869, 18, 7651, 10377, 1134, 27838, 8265, 1038, 1698, 953, 30945, 19923, 18017, 16, 3860, 281, 23407, 6757, 41315, 1525, 289, 41306, 5836, 16836, 454, 271, 18, 365, 5329, 16, 16775, 8876, 31616, 14204, 506, 329, 492, 10202, 1041, 371, 14183, 12187, 1408, 510, 32694, 282, 3705, 705, 39264, 46802, 289, 33698, 16, 3498, 675, 9991, 351, 2165, 16, 5577, 432, 35733, 1489, 292, 16, 29352, 2166, 292, 289, 4036, 1615, 1165, 282, 5636, 670, 988, 17, 3697, 764, 16, 25784, 281, 43223, 979, 289, 336, 8366, 1525, 16, 32694, 5244, 289, 13098, 1244, 9338, 289, 37217, 18497, 426, 281, 13687, 8964, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 16640, 23229, 22028, 2854, 10722, 13526, 5579, 17, 14723, 4226, 12381, 318, 43503, 1728, 474, 8108, 347, 282, 43308, 35557, 15161, 28893, 37637, 6235, 16, 11750, 286, 613, 14683, 289, 9798, 19361, 24306, 18, 18816, 1013, 309, 502, 16, 374, 492, 8633, 309, 9515, 13526, 16, 43348, 16, 16144, 14697, 18, 31224, 30, 30348, 303, 465, 2854, 10722, 13526, 5579, 17, 14723, 9540, 474, 8844, 4830, 282, 43308, 35557, 15161, 19287, 37637, 6235, 18, 15066, 22517, 2766, 282, 10666, 14900, 6370, 16640, 510, 1223, 1248, 1293, 3139, 1011, 924, 16, 428, 8348, 381, 31330, 27458, 1441, 726, 8851, 15689, 2001, 18182, 43503, 18, 33768, 16, 374, 37637, 6235, 840, 26697, 2089, 8892, 519, 924, 16, 428, 840, 5063, 798, 6574, 2959, 4090, 13526, 18, 2263, 474, 8844, 282, 16294, 1055, 322, 4674, 937, 18, 478, 16385, 492, 1623, 22028, 2854, 10722, 16, 492, 895, 4153, 4138, 1871, 9515, 910, 510, 2548, 7897, 282, 32094, 18, 478, 29971, 3771, 470, 726, 2742, 19934, 334, 6574, 49195, 309, 3059, 13526, 5579, 17, 14723, 16, 961, 678, 428, 10080, 11248, 282, 10564, 547, 26862, 14683, 49804, 7410, 4000, 16, 3828, 14995, 587, 22696, 6700, 15748, 4210, 7323, 2477, 18, 817, 15488, 16, 374, 371, 15645, 16249, 10080, 840, 50137, 411, 924, 16, 374, 1332, 1943, 43381, 478, 30808, 38468, 289, 31468, 11291, 3860, 5303, 5579, 17, 14723, 861, 11101, 478, 29025, 507, 470, 282, 46168, 37637, 6235, 3828, 290, 970, 16, 374, 16281, 474, 8108, 347, 840, 282, 14526, 6574, 1861, 309, 3059, 13526, 18, 824, 505, 3163, 16, 9441, 14457, 6656, 1474, 530, 282, 3178, 2059, 17, 44300, 8560, 18, 4320, 474, 8844, 3164, 282, 3507, 16, 515, 895, 38267, 282, 14957, 726, 282, 9937, 18, 365, 1423, 3678, 16, 4958, 6839, 17115, 14683, 20015, 726, 3436, 4160, 30700, 541, 12755, 26128, 4090, 6677, 18, 37637, 6235, 11451, 33244, 38345, 309, 6911, 9515, 282, 7583, 2891, 16, 515, 687, 322, 282, 6677, 14683, 18, 5360 ]
[ 2693, 396, 4030, 3059, 22104, 4534, 16, 282, 30442, 808, 505, 12177, 7514, 536, 38345, 309, 8892, 9362, 9246, 1552, 289, 6677, 18747, 18, 37637, 6235, 651, 11750, 13097, 5579, 17, 14723, 18, 2667, 924, 428, 282, 6383, 1045, 492, 685, 9540, 474, 8844, 304, 282, 1312, 18175, 16, 492, 1205, 5931, 474, 8844, 304, 282, 23856, 1767, 18, 817, 12094, 879, 11469, 1087, 45930, 16, 45175, 364, 282, 24306, 39398, 986, 16, 281, 16456, 334, 11078, 3142, 16, 25512, 4972, 539, 30103, 24306, 334, 49359, 2818, 32379, 1655, 764, 35502, 16, 17455, 8892, 9539, 3594, 20286, 25383, 5119, 282, 13324, 282, 518, 3142, 16, 785, 4137, 6732, 25512, 9207, 11285, 334, 23892, 42604, 18, 385, 30012, 16, 334, 3163, 37637, 6235, 16, 492, 23540, 764, 3255, 16, 282, 2343, 10423, 17, 292, 18, 2320, 6881, 24074, 7638, 272, 5406, 16, 492, 8034, 282, 453, 22023, 478, 1599, 6932, 451, 3098, 470, 6722, 9620, 18, 817, 685, 3348, 411, 3322, 10714, 432, 37965, 474, 8844, 291, 289, 3716, 322, 30533, 282, 10910, 547, 43444, 4577, 16, 2686, 10587, 21717, 319, 309, 13314, 474, 8108, 347, 13862, 1209, 1634, 12360, 510, 281, 3598, 6383, 779, 16, 785, 906, 4971, 798, 1542, 8892, 18, 365, 12838, 5049, 779, 7352, 411, 1040, 464, 626, 474, 8108, 347, 13317, 282, 13305, 567, 39186, 1767, 18, 365, 5894, 22200, 1624, 15041, 3833, 2848, 474, 8108, 347, 16, 17770, 887, 478, 33051, 9070, 910, 697, 10383, 3994, 309, 2468, 16, 13391, 664, 759, 576, 505, 30143, 282, 15532, 18, 23569, 17461, 10035, 24492, 10618, 3569, 6235, 5273, 16, 374, 16171, 309, 20482, 37637, 6235, 39493, 43348, 18, 478, 1140, 33360, 1631, 281, 5305, 10903, 7620, 16, 753, 30115, 505, 1139, 1628, 2094, 1756, 16, 510, 481, 2702, 7322, 910, 510, 18590, 12189, 18, 824, 505, 3163, 16, 37637, 6235, 19256, 9556, 339, 9146, 7032, 311, 1191, 2749, 16, 2391, 492, 895, 1852, 37973, 416, 32530, 541, 4830, 289, 23383, 16, 4813, 309, 26022, 478, 13192, 343, 9620, 861, 640, 8892, 282, 27907, 282, 5975, 808, 12984, 3029, 8147, 38863, 7010, 1250, 16, 3057, 16, 4944, 18949, 12017, 282, 28441, 1767, 289, 4137, 22120, 5486, 282, 44208, 18, 1178, 37637, 6235, 840, 9540, 39493, 16, 1612, 478, 324, 13996, 2606, 470, 329, 1047, 322, 840, 16, 10050, 3569, 6235, 18, 5360, 10412, 9193, 4623, 2891, 8866, 668, 8955, 309, 41325, 10296, 282, 11023, 16, 961, 16, 282, 1423, 3678, 16, 590, 464, 9229, 282, 4770, 2127, 30183, 18, 4707, 1797, 1810, 474, 8844, 304, 895, 9555, 11771, 18, 478, 1140, 813, 474, 8844, 276, 322, 7117, 15373, 18951, 10144, 16, 481, 22070, 1247, 910, 510, 2548, 492, 18, 25021, 292, 37637, 6235, 329, 5303, 2001, 322, 8026, 1390, 16, 5273, 3569, 6235, 30, 478, 3001, 322, 15156, 27795, 10343, 419, 281, 43503, 16, 294, 2222, 575, 492, 2702, 2944, 6820, 1844, 33803, 718, 13294, 419, 861, 39266, 1357, 37637, 6235, 282, 27907, 639, 18220, 35552, 30, 4419, 14697, 322, 12177, 505, 20799, 282, 2875, 7514, 432, 16249, 309, 8892, 13526, 5579, 17, 14723, 18, 6831, 16061, 268, 712, 898, 6836, 478, 13023, 1133, 33803, 873, 470, 510, 8099, 24001, 3720, 2124, 1475, 291, 1624, 42915, 16934, 9715, 528, 7420, 1388, 1624, 9541, 17, 24339, 6370, 14213, 333, 1624, 9216, 6937, 4830, 4210, 44075, 14940, 289, 505, 9128, 3720, 47557, 1388, 18, 824, 3352, 9622, 13103, 16259, 16197, 4377, 12012, 16, 764, 5284, 2158, 282, 6937, 4830, 42764, 588, 1701, 17, 31743, 411, 6566, 14938, 16249, 282, 7010, 1250, 30, 37637, 6235, 16, 14213, 333, 16, 47557, 1388, 289, 726, 4279, 1779, 8348, 381, 32684, 5037, 15352, 3403, 938, 9396, 3569, 5058, 853, 4137, 403, 20986, 18, 478, 11648, 16227, 6235, 15679, 784, 282, 803, 14526, 3453, 39372, 6574, 9381, 16, 510, 22985, 4377, 11812, 18, 510, 740, 492, 14644, 37973, 549, 16, 29636, 19382, 1209, 861, 365, 13324, 44895, 10781, 37637, 6235, 39493, 3848, 6129, 3834, 16, 6177, 428, 26280, 648, 1013, 16, 453, 289, 38561, 18, 9668, 7920, 334, 31498, 10539, 11919, 16, 334, 547, 5203, 6516, 689, 18, 10403, 17711, 9880, 1970, 50002, 474, 8108, 347, 428, 1631, 478, 9445, 362, 434, 861, 817, 26136, 16, 374, 5112, 281, 37637, 6235, 322, 2584, 16, 515, 1500, 975, 5550, 16, 1548, 374, 478, 10524, 50058, 1749, 651, 15017, 861, 37188, 360, 478, 30635, 1175, 470, 1714, 354, 465, 269, 629, 297, 1042, 16, 7415, 16, 281, 474, 8844, 304, 2584, 5112, 18, 817, 16, 428, 289, 30961, 9880, 1970, 16, 5273, 282, 27907, 478, 2429, 536, 16, 13337, 3276, 289, 1988, 362, 536, 5406, 16, 40386, 294, 1142, 5966, 3321, 395, 861, 478, 3001, 16, 281, 2059, 1963, 16, 2950, 13937, 286, 16, 515, 371, 803, 35760, 28776, 368, 282, 13324, 16, 349, 961, 505, 373, 28096, 414, 910, 510, 5692, 11309, 18, 365, 27907, 14148, 928, 935, 13856, 29077, 478, 44280, 1406, 1175, 470, 1624, 1586, 23721, 28096, 455, 43503, 349, 11222, 282, 44744, 14762, 30, 1176, 411, 13764, 10162, 10872, 4623, 7974, 391, 19937, 5273, 16, 374, 478, 33032, 26503, 1821, 14969, 5304, 9078, 20185, 294, 2891, 861, 37637, 6235, 322, 23024, 16, 367, 26363, 16, 10050, 3203, 16301, 44058, 478, 1358, 35980, 470, 9715, 5014, 40199, 778, 18, 478, 11459, 3787, 322, 14383, 505, 16020, 12658, 16, 510, 2548, 5014, 40199, 778, 18, 651, 6490, 18307, 2439, 22292, 349, 1498, 2264, 4684, 322, 639, 18, 640, 462, 18384, 1211, 16, 2091, 16, 374, 492, 2019, 1577, 411, 24306, 861, 43503, 27458, 282, 16294, 1011, 924, 16, 428, 3695, 4160, 30346, 6195, 1924, 11031, 282, 3489, 5868, 478, 13555, 268, 12434, 449, 2147, 470, 289, 478, 672, 16265, 778, 910, 32471, 1033, 19779, 9, 12607, 18, 1253, 726, 7356, 11309, 778, 3871, 3685, 360, 478, 13555, 268, 19265, 45306, 910, 1029, 8350, 1450, 43381, 4199, 22941, 18, 385, 1574, 15774, 323, 12679, 282, 2343, 4209, 4770, 36970, 950, 3883, 285, 5830, 20334, 7219, 1624, 6370, 16640, 12961, 21161, 18, 403, 1396, 435, 4806, 17777, 2231, 2800, 347, 2438, 12766, 2128, 536, 1281, 3598, 16, 785, 12760, 14683, 33995, 22141, 11088, 40919, 1043, 1492, 2, 1, 87, 1456, 81, 2448, 30, 2176, 8011, 9725, 9314, 23616, 2793, 281, 2145, 16, 9807, 32819, 43833, 14852, 536, 47405, 1477, 3032, 282, 1382, 363, 1751, 18, 2667, 978, 6175, 478, 1477, 539, 12620, 470, 2245, 4688 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2693, 396, 4030, 3059, 22104, 4534, 16, 282, 30442, 808, 505, 12177, 7514, 536, 38345, 309, 8892, 9362, 9246, 1552, 289, 6677, 18747, 18, 37637, 6235, 651, 11750, 13097, 5579, 17, 14723, 18, 2667, 924, 428, 282, 6383, 1045, 492, 685, 9540, 474, 8844, 304, 282, 1312, 18175, 16, 492, 1205, 5931, 474, 8844, 304, 282, 23856, 1767, 18, 817, 12094, 879, 11469, 1087, 45930, 16, 45175, 364, 282, 24306, 39398, 986, 16, 281, 16456, 334, 11078, 3142, 16, 25512, 4972, 539, 30103, 24306, 334, 49359, 2818, 32379, 1655, 764, 35502, 16, 17455, 8892, 9539, 3594, 20286, 25383, 5119, 282, 13324, 282, 518, 3142, 16, 785, 4137, 6732, 25512, 9207, 11285, 334, 23892, 42604, 18, 385, 30012, 16, 334, 3163, 37637, 6235, 16, 492, 23540, 764, 3255, 16, 282, 2343, 10423, 17, 292, 18, 2320, 6881, 24074, 7638, 272, 5406, 16, 492, 8034, 282, 453, 22023, 478, 1599, 6932, 451, 3098, 470, 6722, 9620, 18, 817, 685, 3348, 411, 3322, 10714, 432, 37965, 474, 8844, 291, 289, 3716, 322, 30533, 282, 10910, 547, 43444, 4577, 16, 2686, 10587, 21717, 319, 309, 13314, 474, 8108, 347, 13862, 1209, 1634, 12360, 510, 281, 3598, 6383, 779, 16, 785, 906, 4971, 798, 1542, 8892, 18, 365, 12838, 5049, 779, 7352, 411, 1040, 464, 626, 474, 8108, 347, 13317, 282, 13305, 567, 39186, 1767, 18, 365, 5894, 22200, 1624, 15041, 3833, 2848, 474, 8108, 347, 16, 17770, 887, 478, 33051, 9070, 910, 697, 10383, 3994, 309, 2468, 16, 13391, 664, 759, 576, 505, 30143, 282, 15532, 18, 23569, 17461, 10035, 24492, 10618, 3569, 6235, 5273, 16, 374, 16171, 309, 20482, 37637, 6235, 39493, 43348, 18, 478, 1140, 33360, 1631, 281, 5305, 10903, 7620, 16, 753, 30115, 505, 1139, 1628, 2094, 1756, 16, 510, 481, 2702, 7322, 910, 510, 18590, 12189, 18, 824, 505, 3163, 16, 37637, 6235, 19256, 9556, 339, 9146, 7032, 311, 1191, 2749, 16, 2391, 492, 895, 1852, 37973, 416, 32530, 541, 4830, 289, 23383, 16, 4813, 309, 26022, 478, 13192, 343, 9620, 861, 640, 8892, 282, 27907, 282, 5975, 808, 12984, 3029, 8147, 38863, 7010, 1250, 16, 3057, 16, 4944, 18949, 12017, 282, 28441, 1767, 289, 4137, 22120, 5486, 282, 44208, 18, 1178, 37637, 6235, 840, 9540, 39493, 16, 1612, 478, 324, 13996, 2606, 470, 329, 1047, 322, 840, 16, 10050, 3569, 6235, 18, 5360, 10412, 9193, 4623, 2891, 8866, 668, 8955, 309, 41325, 10296, 282, 11023, 16, 961, 16, 282, 1423, 3678, 16, 590, 464, 9229, 282, 4770, 2127, 30183, 18, 4707, 1797, 1810, 474, 8844, 304, 895, 9555, 11771, 18, 478, 1140, 813, 474, 8844, 276, 322, 7117, 15373, 18951, 10144, 16, 481, 22070, 1247, 910, 510, 2548, 492, 18, 25021, 292, 37637, 6235, 329, 5303, 2001, 322, 8026, 1390, 16, 5273, 3569, 6235, 30, 478, 3001, 322, 15156, 27795, 10343, 419, 281, 43503, 16, 294, 2222, 575, 492, 2702, 2944, 6820, 1844, 33803, 718, 13294, 419, 861, 39266, 1357, 37637, 6235, 282, 27907, 639, 18220, 35552, 30, 4419, 14697, 322, 12177, 505, 20799, 282, 2875, 7514, 432, 16249, 309, 8892, 13526, 5579, 17, 14723, 18, 6831, 16061, 268, 712, 898, 6836, 478, 13023, 1133, 33803, 873, 470, 510, 8099, 24001, 3720, 2124, 1475, 291, 1624, 42915, 16934, 9715, 528, 7420, 1388, 1624, 9541, 17, 24339, 6370, 14213, 333, 1624, 9216, 6937, 4830, 4210, 44075, 14940, 289, 505, 9128, 3720, 47557, 1388, 18, 824, 3352, 9622, 13103, 16259, 16197, 4377, 12012, 16, 764, 5284, 2158, 282, 6937, 4830, 42764, 588, 1701, 17, 31743, 411, 6566, 14938, 16249, 282, 7010, 1250, 30, 37637, 6235, 16, 14213, 333, 16, 47557, 1388, 289, 726, 4279, 1779, 8348, 381, 32684, 5037, 15352, 3403, 938, 9396, 3569, 5058, 853, 4137, 403, 20986, 18, 478, 11648, 16227, 6235, 15679, 784, 282, 803, 14526, 3453, 39372, 6574, 9381, 16, 510, 22985, 4377, 11812, 18, 510, 740, 492, 14644, 37973, 549, 16, 29636, 19382, 1209, 861, 365, 13324, 44895, 10781, 37637, 6235, 39493, 3848, 6129, 3834, 16, 6177, 428, 26280, 648, 1013, 16, 453, 289, 38561, 18, 9668, 7920, 334, 31498, 10539, 11919, 16, 334, 547, 5203, 6516, 689, 18, 10403, 17711, 9880, 1970, 50002, 474, 8108, 347, 428, 1631, 478, 9445, 362, 434, 861, 817, 26136, 16, 374, 5112, 281, 37637, 6235, 322, 2584, 16, 515, 1500, 975, 5550, 16, 1548, 374, 478, 10524, 50058, 1749, 651, 15017, 861, 37188, 360, 478, 30635, 1175, 470, 1714, 354, 465, 269, 629, 297, 1042, 16, 7415, 16, 281, 474, 8844, 304, 2584, 5112, 18, 817, 16, 428, 289, 30961, 9880, 1970, 16, 5273, 282, 27907, 478, 2429, 536, 16, 13337, 3276, 289, 1988, 362, 536, 5406, 16, 40386, 294, 1142, 5966, 3321, 395, 861, 478, 3001, 16, 281, 2059, 1963, 16, 2950, 13937, 286, 16, 515, 371, 803, 35760, 28776, 368, 282, 13324, 16, 349, 961, 505, 373, 28096, 414, 910, 510, 5692, 11309, 18, 365, 27907, 14148, 928, 935, 13856, 29077, 478, 44280, 1406, 1175, 470, 1624, 1586, 23721, 28096, 455, 43503, 349, 11222, 282, 44744, 14762, 30, 1176, 411, 13764, 10162, 10872, 4623, 7974, 391, 19937, 5273, 16, 374, 478, 33032, 26503, 1821, 14969, 5304, 9078, 20185, 294, 2891, 861, 37637, 6235, 322, 23024, 16, 367, 26363, 16, 10050, 3203, 16301, 44058, 478, 1358, 35980, 470, 9715, 5014, 40199, 778, 18, 478, 11459, 3787, 322, 14383, 505, 16020, 12658, 16, 510, 2548, 5014, 40199, 778, 18, 651, 6490, 18307, 2439, 22292, 349, 1498, 2264, 4684, 322, 639, 18, 640, 462, 18384, 1211, 16, 2091, 16, 374, 492, 2019, 1577, 411, 24306, 861, 43503, 27458, 282, 16294, 1011, 924, 16, 428, 3695, 4160, 30346, 6195, 1924, 11031, 282, 3489, 5868, 478, 13555, 268, 12434, 449, 2147, 470, 289, 478, 672, 16265, 778, 910, 32471, 1033, 19779, 9, 12607, 18, 1253, 726, 7356, 11309, 778, 3871, 3685, 360, 478, 13555, 268, 19265, 45306, 910, 1029, 8350, 1450, 43381, 4199, 22941, 18, 385, 1574, 15774, 323, 12679, 282, 2343, 4209, 4770, 36970, 950, 3883, 285, 5830, 20334, 7219, 1624, 6370, 16640, 12961, 21161, 18, 403, 1396, 435, 4806, 17777, 2231, 2800, 347, 2438, 12766, 2128, 536, 1281, 3598, 16, 785, 12760, 14683, 33995, 22141, 11088, 40919, 1043, 1492, 2, 1, 87, 1456, 81, 2448, 30, 2176, 8011, 9725, 9314, 23616, 2793, 281, 2145, 16, 9807, 32819, 43833, 14852, 536, 47405, 1477, 3032, 282, 1382, 363, 1751, 18, 2667, 978, 6175, 478, 1477, 539, 12620, 470, 2245, 4688 ]
[ 289, 5182, 862, 687, 349, 16775, 3607, 394, 18, 28616, 25156, 16, 374, 1177, 3321, 840, 4417, 6007, 322, 687, 541, 14852, 434, 7043, 16, 515, 289, 334, 5275, 3834, 3442, 11188, 1382, 28930, 282, 9304, 4314, 32542, 42097, 18, 31224, 30, 23555, 607, 14852, 536, 469, 278, 1477, 3032, 16, 49038, 13059, 282, 1382, 363, 1751, 16, 13487, 282, 10666, 16, 4016, 3990, 16, 309, 18816, 21580, 680, 13858, 39132, 21767, 473, 16961, 41, 16, 478, 660, 2147, 470, 18816, 21580, 680, 47405, 1477, 267, 416, 42469, 814, 39491, 2110, 3321, 376, 2239, 16, 21, 1382, 28930, 349, 26650, 18, 31434, 20194, 376, 430, 4500, 18, 49810, 18, 28155, 2232, 1664, 626, 4896, 1409, 9, 360, 7343, 8990, 20194, 18, 403, 707, 807, 542, 282, 2580, 11897, 289, 12998, 2973, 47103, 1061, 5999, 28019, 382, 10960, 334, 6231, 2675, 1747, 30351, 411, 50161, 415, 5687, 16, 1241, 23074, 16, 31464, 798, 16, 28074, 289, 43269, 11612, 18, 28699, 319, 840, 15082, 506, 282, 1293, 21750, 335, 16, 23948, 282, 17618, 26486, 432, 14297, 25198, 18, 12814, 548, 13680, 382, 282, 6099, 360, 33028, 38305, 2087, 1698, 953, 282, 10130, 47907, 345, 6025, 18, 365, 3178, 4056, 23616, 23143, 47405, 1477, 267, 309, 907, 50, 41, 4281, 709, 282, 11099, 309, 5066, 1032, 7536, 16, 28, 1382, 363, 355, 349, 26650, 47568, 12743, 16, 23, 814, 29957, 2497, 29809, 1133, 41476, 10235, 43065, 36350, 17534, 1624, 4660, 3314, 309, 5137, 16442, 16, 40999, 309, 15243, 680, 21767, 289, 1234, 38493, 282, 6835, 17, 17553, 4281, 887, 309, 5066, 4843, 12743, 16, 23, 289, 4843, 12770, 8774, 18, 985, 45670, 10027, 7939, 278, 3910, 264, 1624, 282, 5487, 1939, 1879, 4281, 309, 18816, 21580, 680, 21767, 282, 10666, 898, 3168, 4633, 2418, 4500, 18, 40429, 18, 824, 3761, 42469, 16, 3455, 282, 5572, 15091, 4281, 7650, 11476, 10367, 29802, 289, 7796, 8138, 18, 14155, 541, 8280, 432, 32226, 25198, 28872, 42557, 5684, 2678, 14426, 41337, 469, 278, 1477, 4887, 18, 6682, 924, 16, 41945, 25198, 726, 10218, 290, 30554, 18350, 7796, 2954, 289, 2241, 16, 1131, 11228, 282, 1677, 5868, 14852, 758, 47405, 1477, 4887, 282, 1382, 363, 1751, 16, 360, 21807, 309, 11726, 23424, 519, 3437, 986, 18, 996, 16, 5938, 3761, 42469, 16, 309, 13519, 11056, 639, 31058, 2364, 667, 7796, 33353, 2477, 541, 11270, 7396, 6231, 2389, 18, 889, 726, 322, 7732, 15068, 25198, 26944, 35007, 14852, 758, 47405, 1477, 4887, 282, 1382, 363, 1751, 18, 365, 11525, 1045, 37186, 19540, 2891, 10073, 26944, 41139, 13052, 16, 8581, 6965, 309, 20065, 8275, 16, 2686, 16, 726, 1248, 1205, 28316, 906, 2010, 8991, 411, 17, 431, 2410, 7773, 1252, 3653, 526, 617, 18, 999, 19816, 47405, 1477, 1015, 6993, 26570, 541, 11612, 30, 26931, 1133, 2553, 35360, 11529, 700, 334, 10216, 272, 309, 478, 1477, 539, 12620, 910, 367, 25198, 334, 2834, 3707, 10960, 4223, 309, 7015, 1756, 282, 2968, 18, 365, 7847, 1045, 371, 2834, 2431, 282, 1286, 2479, 3763, 7833, 25198, 7334, 6286, 3064, 1032, 2932, 3763, 7833, 10960, 18, 3397, 9807, 12073, 2364, 23523, 371, 20821, 22506, 309, 11460, 282, 2968, 18, 17935, 1421, 779, 33225, 282, 4008, 13981, 282, 11099, 309, 1061, 9, 282, 1205, 1279, 11099, 265, 19120, 867, 3899, 282, 430, 16, 27, 5999, 6592, 12651, 47270, 22026, 49336, 10015, 473, 780, 1605, 618, 934, 25198, 18122, 281, 1540, 30983, 428, 8396, 519, 16838, 1939, 3161, 17, 292, 6968, 18, 1747, 10030, 28900, 28793, 546, 2661, 7019, 22506, 309, 478, 1477, 539, 12620, 861, 20409, 33843, 16, 30434, 448, 478, 7128, 305, 323, 18, 8381, 910, 5988, 1886, 567, 45627, 16, 374, 8249, 25371, 309, 39724, 8275, 28846, 26764, 399, 957, 1477, 1015, 282, 1382, 363, 1751, 322, 5304, 16, 515, 9807, 16, 13649, 16, 3083, 298, 1748, 2159, 7957, 282, 35920, 16211, 18, 26482, 1382, 28930, 744, 17, 8422, 299, 334, 17, 6093, 18648, 294, 3607, 344, 289, 25642, 864, 271, 5886, 315, 7346, 4164, 10879, 536, 13466, 635, 11612, 1624, 36774, 2904, 6153, 5862, 41330, 41057, 1149, 60, 4137, 472, 362, 363, 11812, 18, 49381, 448, 42557, 475, 764, 36503, 10302, 294, 6081, 1703, 22636, 277, 16, 26294, 22996, 40523, 16447, 289, 27838, 23900, 477, 1963, 5439, 16, 36774, 2904, 41330, 8752, 5324, 541, 23271, 1057, 56, 514, 83, 282, 1175, 289, 16879, 6070, 1789, 15561, 18, 3747, 1055, 47405, 1477, 1013, 16, 49038, 6728, 282, 1382, 363, 1751, 16, 322, 19034, 11165, 38757, 323, 3607, 344, 16, 13052, 2410, 3655, 16, 367, 1548, 1635, 1838, 2449, 3359, 16, 2686, 282, 4301, 32137, 7043, 30147, 3732, 22572, 3162, 840, 4417, 1756, 16, 3893, 45940, 13588, 48693, 478, 1916, 1394, 21322, 32617, 300, 470, 6729, 33003, 21322, 18, 817, 12016, 16, 374, 9807, 726, 14687, 11936, 349, 11460, 282, 1382, 363, 1751, 281, 2406, 31263, 473, 677, 286, 30874, 5499, 16, 9609, 16, 45914, 16, 46535, 17003, 814, 2667, 4319, 1326, 481, 906, 1472, 1196, 264, 16, 281, 25875, 47405, 1477, 1015, 16, 49038, 5856, 282, 1382, 363, 1751, 16, 475, 895, 282, 28227, 39358, 18, 824, 3761, 10015, 38341, 16, 2486, 19781, 484, 309, 5024, 27613, 11198, 307, 16, 3771, 282, 3178, 7426, 1912, 4776, 1623, 40692, 2921, 15224, 10960, 282, 25198, 18, 365, 12500, 639, 7334, 6286, 7667, 1061, 16, 8365, 3763, 7833, 18, 640, 7422, 2468, 21207, 1162, 18107, 274, 281, 1032, 16, 12770, 3763, 7833, 16, 309, 15301, 9787, 1869, 473, 23, 16, 12281, 3763, 7833, 814, 28699, 464, 399, 957, 1477, 1013, 282, 1382, 363, 1751, 1747, 24800, 18088, 1941, 4380, 25198, 376, 2048, 1382, 4920, 334, 17, 11863, 35920, 8204, 323, 16, 3004, 6036, 282, 10830, 17754, 292, 16, 29230, 6070, 1789, 15561, 18, 6729, 33003, 21322, 10050, 16, 374, 935, 371, 15128, 3329, 4699, 26663, 1064, 32257, 7234, 25198, 16, 34931, 1382, 28930, 2341, 6521, 22299, 5925, 4914, 1475, 467, 758, 3243, 4887, 1681, 404, 24833, 416, 18, 7022, 27773, 16, 567, 10246, 478, 296, 18296, 274, 470, 12384, 34031, 334, 18530, 48788, 15851, 21118, 281, 11113, 4220, 5397, 4697, 28844, 282, 7597, 289, 11736, 8471, 475, 2619, 10664, 536, 16, 374, 15156, 26423, 541, 25594, 8204, 416, 24278, 440, 7167, 371, 17754, 292, 309, 39140, 10561, 26476, 16, 10050, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 37660, 20933, 17642, 1175, 2397, 5554, 16, 374, 11450, 24880, 13269, 2044, 2555, 17 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 5182, 862, 687, 349, 16775, 3607, 394, 18, 28616, 25156, 16, 374, 1177, 3321, 840, 4417, 6007, 322, 687, 541, 14852, 434, 7043, 16, 515, 289, 334, 5275, 3834, 3442, 11188, 1382, 28930, 282, 9304, 4314, 32542, 42097, 18, 31224, 30, 23555, 607, 14852, 536, 469, 278, 1477, 3032, 16, 49038, 13059, 282, 1382, 363, 1751, 16, 13487, 282, 10666, 16, 4016, 3990, 16, 309, 18816, 21580, 680, 13858, 39132, 21767, 473, 16961, 41, 16, 478, 660, 2147, 470, 18816, 21580, 680, 47405, 1477, 267, 416, 42469, 814, 39491, 2110, 3321, 376, 2239, 16, 21, 1382, 28930, 349, 26650, 18, 31434, 20194, 376, 430, 4500, 18, 49810, 18, 28155, 2232, 1664, 626, 4896, 1409, 9, 360, 7343, 8990, 20194, 18, 403, 707, 807, 542, 282, 2580, 11897, 289, 12998, 2973, 47103, 1061, 5999, 28019, 382, 10960, 334, 6231, 2675, 1747, 30351, 411, 50161, 415, 5687, 16, 1241, 23074, 16, 31464, 798, 16, 28074, 289, 43269, 11612, 18, 28699, 319, 840, 15082, 506, 282, 1293, 21750, 335, 16, 23948, 282, 17618, 26486, 432, 14297, 25198, 18, 12814, 548, 13680, 382, 282, 6099, 360, 33028, 38305, 2087, 1698, 953, 282, 10130, 47907, 345, 6025, 18, 365, 3178, 4056, 23616, 23143, 47405, 1477, 267, 309, 907, 50, 41, 4281, 709, 282, 11099, 309, 5066, 1032, 7536, 16, 28, 1382, 363, 355, 349, 26650, 47568, 12743, 16, 23, 814, 29957, 2497, 29809, 1133, 41476, 10235, 43065, 36350, 17534, 1624, 4660, 3314, 309, 5137, 16442, 16, 40999, 309, 15243, 680, 21767, 289, 1234, 38493, 282, 6835, 17, 17553, 4281, 887, 309, 5066, 4843, 12743, 16, 23, 289, 4843, 12770, 8774, 18, 985, 45670, 10027, 7939, 278, 3910, 264, 1624, 282, 5487, 1939, 1879, 4281, 309, 18816, 21580, 680, 21767, 282, 10666, 898, 3168, 4633, 2418, 4500, 18, 40429, 18, 824, 3761, 42469, 16, 3455, 282, 5572, 15091, 4281, 7650, 11476, 10367, 29802, 289, 7796, 8138, 18, 14155, 541, 8280, 432, 32226, 25198, 28872, 42557, 5684, 2678, 14426, 41337, 469, 278, 1477, 4887, 18, 6682, 924, 16, 41945, 25198, 726, 10218, 290, 30554, 18350, 7796, 2954, 289, 2241, 16, 1131, 11228, 282, 1677, 5868, 14852, 758, 47405, 1477, 4887, 282, 1382, 363, 1751, 16, 360, 21807, 309, 11726, 23424, 519, 3437, 986, 18, 996, 16, 5938, 3761, 42469, 16, 309, 13519, 11056, 639, 31058, 2364, 667, 7796, 33353, 2477, 541, 11270, 7396, 6231, 2389, 18, 889, 726, 322, 7732, 15068, 25198, 26944, 35007, 14852, 758, 47405, 1477, 4887, 282, 1382, 363, 1751, 18, 365, 11525, 1045, 37186, 19540, 2891, 10073, 26944, 41139, 13052, 16, 8581, 6965, 309, 20065, 8275, 16, 2686, 16, 726, 1248, 1205, 28316, 906, 2010, 8991, 411, 17, 431, 2410, 7773, 1252, 3653, 526, 617, 18, 999, 19816, 47405, 1477, 1015, 6993, 26570, 541, 11612, 30, 26931, 1133, 2553, 35360, 11529, 700, 334, 10216, 272, 309, 478, 1477, 539, 12620, 910, 367, 25198, 334, 2834, 3707, 10960, 4223, 309, 7015, 1756, 282, 2968, 18, 365, 7847, 1045, 371, 2834, 2431, 282, 1286, 2479, 3763, 7833, 25198, 7334, 6286, 3064, 1032, 2932, 3763, 7833, 10960, 18, 3397, 9807, 12073, 2364, 23523, 371, 20821, 22506, 309, 11460, 282, 2968, 18, 17935, 1421, 779, 33225, 282, 4008, 13981, 282, 11099, 309, 1061, 9, 282, 1205, 1279, 11099, 265, 19120, 867, 3899, 282, 430, 16, 27, 5999, 6592, 12651, 47270, 22026, 49336, 10015, 473, 780, 1605, 618, 934, 25198, 18122, 281, 1540, 30983, 428, 8396, 519, 16838, 1939, 3161, 17, 292, 6968, 18, 1747, 10030, 28900, 28793, 546, 2661, 7019, 22506, 309, 478, 1477, 539, 12620, 861, 20409, 33843, 16, 30434, 448, 478, 7128, 305, 323, 18, 8381, 910, 5988, 1886, 567, 45627, 16, 374, 8249, 25371, 309, 39724, 8275, 28846, 26764, 399, 957, 1477, 1015, 282, 1382, 363, 1751, 322, 5304, 16, 515, 9807, 16, 13649, 16, 3083, 298, 1748, 2159, 7957, 282, 35920, 16211, 18, 26482, 1382, 28930, 744, 17, 8422, 299, 334, 17, 6093, 18648, 294, 3607, 344, 289, 25642, 864, 271, 5886, 315, 7346, 4164, 10879, 536, 13466, 635, 11612, 1624, 36774, 2904, 6153, 5862, 41330, 41057, 1149, 60, 4137, 472, 362, 363, 11812, 18, 49381, 448, 42557, 475, 764, 36503, 10302, 294, 6081, 1703, 22636, 277, 16, 26294, 22996, 40523, 16447, 289, 27838, 23900, 477, 1963, 5439, 16, 36774, 2904, 41330, 8752, 5324, 541, 23271, 1057, 56, 514, 83, 282, 1175, 289, 16879, 6070, 1789, 15561, 18, 3747, 1055, 47405, 1477, 1013, 16, 49038, 6728, 282, 1382, 363, 1751, 16, 322, 19034, 11165, 38757, 323, 3607, 344, 16, 13052, 2410, 3655, 16, 367, 1548, 1635, 1838, 2449, 3359, 16, 2686, 282, 4301, 32137, 7043, 30147, 3732, 22572, 3162, 840, 4417, 1756, 16, 3893, 45940, 13588, 48693, 478, 1916, 1394, 21322, 32617, 300, 470, 6729, 33003, 21322, 18, 817, 12016, 16, 374, 9807, 726, 14687, 11936, 349, 11460, 282, 1382, 363, 1751, 281, 2406, 31263, 473, 677, 286, 30874, 5499, 16, 9609, 16, 45914, 16, 46535, 17003, 814, 2667, 4319, 1326, 481, 906, 1472, 1196, 264, 16, 281, 25875, 47405, 1477, 1015, 16, 49038, 5856, 282, 1382, 363, 1751, 16, 475, 895, 282, 28227, 39358, 18, 824, 3761, 10015, 38341, 16, 2486, 19781, 484, 309, 5024, 27613, 11198, 307, 16, 3771, 282, 3178, 7426, 1912, 4776, 1623, 40692, 2921, 15224, 10960, 282, 25198, 18, 365, 12500, 639, 7334, 6286, 7667, 1061, 16, 8365, 3763, 7833, 18, 640, 7422, 2468, 21207, 1162, 18107, 274, 281, 1032, 16, 12770, 3763, 7833, 16, 309, 15301, 9787, 1869, 473, 23, 16, 12281, 3763, 7833, 814, 28699, 464, 399, 957, 1477, 1013, 282, 1382, 363, 1751, 1747, 24800, 18088, 1941, 4380, 25198, 376, 2048, 1382, 4920, 334, 17, 11863, 35920, 8204, 323, 16, 3004, 6036, 282, 10830, 17754, 292, 16, 29230, 6070, 1789, 15561, 18, 6729, 33003, 21322, 10050, 16, 374, 935, 371, 15128, 3329, 4699, 26663, 1064, 32257, 7234, 25198, 16, 34931, 1382, 28930, 2341, 6521, 22299, 5925, 4914, 1475, 467, 758, 3243, 4887, 1681, 404, 24833, 416, 18, 7022, 27773, 16, 567, 10246, 478, 296, 18296, 274, 470, 12384, 34031, 334, 18530, 48788, 15851, 21118, 281, 11113, 4220, 5397, 4697, 28844, 282, 7597, 289, 11736, 8471, 475, 2619, 10664, 536, 16, 374, 15156, 26423, 541, 25594, 8204, 416, 24278, 440, 7167, 371, 17754, 292, 309, 39140, 10561, 26476, 16, 10050, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 37660, 20933, 17642, 1175, 2397, 5554, 16, 374, 11450, 24880, 13269, 2044, 2555, 17 ]
[ 17827, 28017, 18, 4530, 867, 16, 28872, 34450, 16144, 16, 374, 282, 4190, 13863, 13269, 32830, 5467, 313, 294, 2801, 1045, 3771, 895, 1852, 21340, 28397, 32830, 6871, 18, 3397, 9805, 32830, 13419, 41105, 17185, 3763, 8974, 16, 411, 1639, 16, 334, 3761, 22200, 16, 687, 15173, 3763, 309, 8954, 18, 31224, 30, 37660, 20933, 14999, 1175, 16, 6895, 48449, 16, 23414, 32720, 18, 9098, 5024, 7332, 22029, 647, 10027, 478, 11636, 299, 419, 266, 861, 6592, 1335, 3352, 5040, 13495, 1640, 282, 1175, 294, 9747, 4440, 779, 41621, 13332, 5642, 309, 11777, 5303, 18, 967, 803, 16, 827, 6532, 3400, 8974, 309, 11334, 16, 1177, 15497, 33307, 18, 824, 3761, 10015, 7352, 912, 282, 5690, 2992, 7583, 6598, 16, 367, 1760, 9, 4247, 360, 1949, 8974, 289, 1033, 18, 478, 682, 21829, 12101, 5040, 13495, 1640, 282, 1175, 282, 1272, 4570, 4803, 28397, 16, 367, 282, 2567, 7338, 16, 428, 15871, 670, 29867, 16, 2388, 16174, 898, 10750, 6025, 282, 2343, 5953, 17, 292, 5521, 6705, 3931, 910, 376, 5273, 6187, 17781, 478, 11636, 299, 419, 266, 470, 4210, 1312, 538, 523, 18, 824, 3761, 30023, 35317, 5219, 1378, 45187, 16, 3771, 9225, 11114, 1756, 282, 7044, 289, 3610, 1756, 282, 2968, 334, 20919, 8974, 329, 4186, 18, 28865, 4309, 28397, 289, 14922, 11791, 1798, 8503, 22715, 405, 16, 988, 3400, 8974, 4896, 1488, 5584, 20732, 309, 11777, 1135, 18, 3791, 282, 14526, 13764, 5823, 46823, 7474, 473, 27, 6837, 8974, 309, 11777, 5303, 934, 29867, 473, 26, 7181, 4347, 19, 39055, 1135, 13, 289, 5081, 448, 4000, 16, 2388, 428, 9591, 354, 473, 26, 12281, 7994, 13, 289, 48468, 473, 26, 10821, 5642, 934, 282, 1639, 5554, 1147, 3357, 8546, 322, 5092, 34529, 48967, 18, 27489, 37352, 1917, 1999, 6279, 41138, 17719, 2756, 3918, 807, 542, 16, 282, 1754, 334, 3761, 9085, 47360, 7431, 46033, 8974, 309, 11777, 5303, 18, 28616, 29838, 16, 374, 16, 4813, 309, 16575, 448, 12918, 364, 3606, 18336, 46565, 282, 5781, 20755, 22160, 4330, 16, 5040, 13495, 1640, 4186, 282, 11063, 411, 1129, 1038, 11534, 4803, 13269, 19965, 651, 282, 11099, 23256, 5642, 309, 11777, 5303, 18, 2124, 454, 27987, 281, 9919, 758, 25173, 44622, 282, 4349, 687, 37091, 16, 988, 2552, 2992, 2397, 5894, 473, 8042, 26, 8974, 309, 11777, 1135, 814, 5343, 334, 20919, 8974, 37067, 22349, 18436, 272, 16, 15247, 2977, 289, 43387, 18, 824, 3761, 3187, 1941, 22200, 334, 13976, 309, 6287, 3802, 4440, 779, 282, 3580, 47360, 1032, 16, 4016, 3763, 5642, 16, 374, 11450, 1028, 3756, 3286, 10091, 282, 33233, 8974, 309, 11777, 5303, 18, 478, 4670, 41134, 867, 10375, 7019, 16188, 19305, 16, 10933, 20755, 49750, 276, 50101, 32023, 282, 6957, 8974, 1248, 1533, 986, 18, 365, 11099, 334, 4008, 294, 25831, 1045, 5554, 840, 4417, 2552, 7504, 14999, 910, 376, 3893, 4210, 1312, 538, 523, 18, 4530, 867, 16, 19592, 1880, 8770, 7547, 23766, 1643, 289, 7547, 314, 364, 2477, 473, 38669, 49, 56, 13, 7332, 5024, 1728, 5981, 18, 478, 677, 4190, 7614, 6036, 2992, 11934, 12318, 12142, 289, 2914, 12873, 28397, 12565, 346, 12142, 16, 42047, 8275, 840, 29738, 16, 282, 502, 808, 428, 29577, 11736, 16, 282, 970, 2875, 289, 9805, 43957, 1482, 2696, 6591, 910, 376, 5130, 282, 9907, 18, 824, 3761, 49776, 49, 56, 294, 2801, 1045, 5040, 13495, 1640, 282, 1175, 41621, 32023, 282, 10367, 8974, 309, 11777, 1135, 16, 374, 12514, 722, 21340, 18, 4185, 33749, 13269, 19965, 294, 2801, 1045, 37712, 7547, 16691, 454, 2003, 46497, 281, 28986, 17185, 3763, 473, 511, 1639, 16, 334, 3761, 22200, 16, 309, 8954, 2364, 15173, 3763, 1493, 7492, 289, 41155, 8974, 289, 36545, 13, 519, 24864, 3763, 8974, 16, 2686, 935, 334, 40476, 11436, 10940, 272, 16, 2828, 27041, 39298, 969, 3414, 1753, 3549, 28887, 47740, 1661, 1284, 16, 13094, 3400, 8974, 282, 1175, 349, 481, 808, 322, 6245, 17471, 12662, 3763, 20732, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1184, 549, 1175, 13317, 309, 39566, 12013, 2422, 334, 15749, 282, 9404, 281, 48909, 2484, 16, 9320, 10377, 289, 29376, 18107, 355, 18, 31577, 4368, 16, 334, 4734, 22755, 2989, 11248, 16, 31933, 5030, 454, 13202, 4110, 19516, 16, 5071, 1952, 16, 367, 1038, 24671, 289, 39304, 42222, 9526, 4966, 18, 31224, 30, 2176, 39566, 12013, 2422, 20925, 1175, 282, 8933, 439, 31834, 281, 48909, 2484, 16, 9320, 10377, 289, 29376, 18107, 355, 18, 1681, 14776, 864, 16, 282, 1754, 5915, 42434, 7193, 16, 726, 10469, 15858, 2888, 478, 14776, 10738, 1354, 861, 14501, 16, 827, 48909, 2880, 1623, 8460, 416, 7342, 16, 1830, 289, 322, 1574, 16, 428, 16, 3057, 16, 37360, 16, 1038, 17164, 14098, 567, 2992, 21293, 1153, 16, 502, 21620, 322, 13382, 282, 4027, 2662, 2422, 8653, 986, 16, 367, 21207, 1162, 18107, 274, 20142, 1623, 309, 34581, 300, 1751, 3348, 411, 10235, 31263, 12994, 7739, 4151, 18, 478, 14102, 1319, 1855, 2994, 15890, 11981, 282, 22979, 17, 21131, 65, 7339, 18, 17504, 5774, 549, 16, 16171, 912, 329, 1209, 3541, 18, 28634, 3050, 4786, 18, 1345, 2950, 7836, 18823, 29376, 29058, 16, 515, 6769, 1542, 7193, 14552, 307, 11049, 289, 5769, 995, 13584, 16, 510, 17684, 16661, 31933, 5030, 382, 9541, 17, 24339, 5439, 289, 4770, 36226, 17711, 40973, 18, 510, 16274, 10940, 291, 2240, 322, 1513, 16, 1215, 309, 27304, 17, 9989, 656, 4686, 29240, 48372, 281, 15825, 9460, 16, 367, 971, 28365, 538, 1272, 14248, 18, 740, 1381, 2654, 2023, 30, 329, 813, 13729, 525, 7193, 16, 1450, 1381, 40415, 1907, 18, 1735, 16, 3057, 16, 281, 8814, 2855, 656, 29240, 1882, 473, 23, 30, 23, 934, 828, 281, 40524, 1520, 2855, 473, 20, 30, 21, 13, 861, 18110, 41957, 36229, 309, 4773, 7734, 32737, 289, 6548, 9680, 7342, 1175, 334, 15749, 20451, 4015, 390, 1015, 18, 478, 682, 2621, 1011, 31933, 5030, 382, 2023, 651, 17335, 670, 1003, 18, 11430, 4786, 912, 16, 3433, 912, 16, 510, 7332, 1694, 4015, 17823, 401, 12117, 29562, 842, 9526, 4966, 18, 510, 4707, 423, 1744, 6045, 3586, 18, 832, 2060, 537, 2059, 411, 1967, 3541, 16, 2002, 322, 19553, 16, 349, 2872, 322, 5185, 16, 374, 520, 18, 20466, 16, 656, 7836, 16, 374, 282, 25546, 9988, 385, 12536, 16, 2024, 417, 1314, 3478, 5221, 282, 8267, 478, 13467, 470, 651, 478, 49431, 10595, 861, 1397, 41798, 282, 1264, 30, 4466 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17827, 28017, 18, 4530, 867, 16, 28872, 34450, 16144, 16, 374, 282, 4190, 13863, 13269, 32830, 5467, 313, 294, 2801, 1045, 3771, 895, 1852, 21340, 28397, 32830, 6871, 18, 3397, 9805, 32830, 13419, 41105, 17185, 3763, 8974, 16, 411, 1639, 16, 334, 3761, 22200, 16, 687, 15173, 3763, 309, 8954, 18, 31224, 30, 37660, 20933, 14999, 1175, 16, 6895, 48449, 16, 23414, 32720, 18, 9098, 5024, 7332, 22029, 647, 10027, 478, 11636, 299, 419, 266, 861, 6592, 1335, 3352, 5040, 13495, 1640, 282, 1175, 294, 9747, 4440, 779, 41621, 13332, 5642, 309, 11777, 5303, 18, 967, 803, 16, 827, 6532, 3400, 8974, 309, 11334, 16, 1177, 15497, 33307, 18, 824, 3761, 10015, 7352, 912, 282, 5690, 2992, 7583, 6598, 16, 367, 1760, 9, 4247, 360, 1949, 8974, 289, 1033, 18, 478, 682, 21829, 12101, 5040, 13495, 1640, 282, 1175, 282, 1272, 4570, 4803, 28397, 16, 367, 282, 2567, 7338, 16, 428, 15871, 670, 29867, 16, 2388, 16174, 898, 10750, 6025, 282, 2343, 5953, 17, 292, 5521, 6705, 3931, 910, 376, 5273, 6187, 17781, 478, 11636, 299, 419, 266, 470, 4210, 1312, 538, 523, 18, 824, 3761, 30023, 35317, 5219, 1378, 45187, 16, 3771, 9225, 11114, 1756, 282, 7044, 289, 3610, 1756, 282, 2968, 334, 20919, 8974, 329, 4186, 18, 28865, 4309, 28397, 289, 14922, 11791, 1798, 8503, 22715, 405, 16, 988, 3400, 8974, 4896, 1488, 5584, 20732, 309, 11777, 1135, 18, 3791, 282, 14526, 13764, 5823, 46823, 7474, 473, 27, 6837, 8974, 309, 11777, 5303, 934, 29867, 473, 26, 7181, 4347, 19, 39055, 1135, 13, 289, 5081, 448, 4000, 16, 2388, 428, 9591, 354, 473, 26, 12281, 7994, 13, 289, 48468, 473, 26, 10821, 5642, 934, 282, 1639, 5554, 1147, 3357, 8546, 322, 5092, 34529, 48967, 18, 27489, 37352, 1917, 1999, 6279, 41138, 17719, 2756, 3918, 807, 542, 16, 282, 1754, 334, 3761, 9085, 47360, 7431, 46033, 8974, 309, 11777, 5303, 18, 28616, 29838, 16, 374, 16, 4813, 309, 16575, 448, 12918, 364, 3606, 18336, 46565, 282, 5781, 20755, 22160, 4330, 16, 5040, 13495, 1640, 4186, 282, 11063, 411, 1129, 1038, 11534, 4803, 13269, 19965, 651, 282, 11099, 23256, 5642, 309, 11777, 5303, 18, 2124, 454, 27987, 281, 9919, 758, 25173, 44622, 282, 4349, 687, 37091, 16, 988, 2552, 2992, 2397, 5894, 473, 8042, 26, 8974, 309, 11777, 1135, 814, 5343, 334, 20919, 8974, 37067, 22349, 18436, 272, 16, 15247, 2977, 289, 43387, 18, 824, 3761, 3187, 1941, 22200, 334, 13976, 309, 6287, 3802, 4440, 779, 282, 3580, 47360, 1032, 16, 4016, 3763, 5642, 16, 374, 11450, 1028, 3756, 3286, 10091, 282, 33233, 8974, 309, 11777, 5303, 18, 478, 4670, 41134, 867, 10375, 7019, 16188, 19305, 16, 10933, 20755, 49750, 276, 50101, 32023, 282, 6957, 8974, 1248, 1533, 986, 18, 365, 11099, 334, 4008, 294, 25831, 1045, 5554, 840, 4417, 2552, 7504, 14999, 910, 376, 3893, 4210, 1312, 538, 523, 18, 4530, 867, 16, 19592, 1880, 8770, 7547, 23766, 1643, 289, 7547, 314, 364, 2477, 473, 38669, 49, 56, 13, 7332, 5024, 1728, 5981, 18, 478, 677, 4190, 7614, 6036, 2992, 11934, 12318, 12142, 289, 2914, 12873, 28397, 12565, 346, 12142, 16, 42047, 8275, 840, 29738, 16, 282, 502, 808, 428, 29577, 11736, 16, 282, 970, 2875, 289, 9805, 43957, 1482, 2696, 6591, 910, 376, 5130, 282, 9907, 18, 824, 3761, 49776, 49, 56, 294, 2801, 1045, 5040, 13495, 1640, 282, 1175, 41621, 32023, 282, 10367, 8974, 309, 11777, 1135, 16, 374, 12514, 722, 21340, 18, 4185, 33749, 13269, 19965, 294, 2801, 1045, 37712, 7547, 16691, 454, 2003, 46497, 281, 28986, 17185, 3763, 473, 511, 1639, 16, 334, 3761, 22200, 16, 309, 8954, 2364, 15173, 3763, 1493, 7492, 289, 41155, 8974, 289, 36545, 13, 519, 24864, 3763, 8974, 16, 2686, 935, 334, 40476, 11436, 10940, 272, 16, 2828, 27041, 39298, 969, 3414, 1753, 3549, 28887, 47740, 1661, 1284, 16, 13094, 3400, 8974, 282, 1175, 349, 481, 808, 322, 6245, 17471, 12662, 3763, 20732, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1184, 549, 1175, 13317, 309, 39566, 12013, 2422, 334, 15749, 282, 9404, 281, 48909, 2484, 16, 9320, 10377, 289, 29376, 18107, 355, 18, 31577, 4368, 16, 334, 4734, 22755, 2989, 11248, 16, 31933, 5030, 454, 13202, 4110, 19516, 16, 5071, 1952, 16, 367, 1038, 24671, 289, 39304, 42222, 9526, 4966, 18, 31224, 30, 2176, 39566, 12013, 2422, 20925, 1175, 282, 8933, 439, 31834, 281, 48909, 2484, 16, 9320, 10377, 289, 29376, 18107, 355, 18, 1681, 14776, 864, 16, 282, 1754, 5915, 42434, 7193, 16, 726, 10469, 15858, 2888, 478, 14776, 10738, 1354, 861, 14501, 16, 827, 48909, 2880, 1623, 8460, 416, 7342, 16, 1830, 289, 322, 1574, 16, 428, 16, 3057, 16, 37360, 16, 1038, 17164, 14098, 567, 2992, 21293, 1153, 16, 502, 21620, 322, 13382, 282, 4027, 2662, 2422, 8653, 986, 16, 367, 21207, 1162, 18107, 274, 20142, 1623, 309, 34581, 300, 1751, 3348, 411, 10235, 31263, 12994, 7739, 4151, 18, 478, 14102, 1319, 1855, 2994, 15890, 11981, 282, 22979, 17, 21131, 65, 7339, 18, 17504, 5774, 549, 16, 16171, 912, 329, 1209, 3541, 18, 28634, 3050, 4786, 18, 1345, 2950, 7836, 18823, 29376, 29058, 16, 515, 6769, 1542, 7193, 14552, 307, 11049, 289, 5769, 995, 13584, 16, 510, 17684, 16661, 31933, 5030, 382, 9541, 17, 24339, 5439, 289, 4770, 36226, 17711, 40973, 18, 510, 16274, 10940, 291, 2240, 322, 1513, 16, 1215, 309, 27304, 17, 9989, 656, 4686, 29240, 48372, 281, 15825, 9460, 16, 367, 971, 28365, 538, 1272, 14248, 18, 740, 1381, 2654, 2023, 30, 329, 813, 13729, 525, 7193, 16, 1450, 1381, 40415, 1907, 18, 1735, 16, 3057, 16, 281, 8814, 2855, 656, 29240, 1882, 473, 23, 30, 23, 934, 828, 281, 40524, 1520, 2855, 473, 20, 30, 21, 13, 861, 18110, 41957, 36229, 309, 4773, 7734, 32737, 289, 6548, 9680, 7342, 1175, 334, 15749, 20451, 4015, 390, 1015, 18, 478, 682, 2621, 1011, 31933, 5030, 382, 2023, 651, 17335, 670, 1003, 18, 11430, 4786, 912, 16, 3433, 912, 16, 510, 7332, 1694, 4015, 17823, 401, 12117, 29562, 842, 9526, 4966, 18, 510, 4707, 423, 1744, 6045, 3586, 18, 832, 2060, 537, 2059, 411, 1967, 3541, 16, 2002, 322, 19553, 16, 349, 2872, 322, 5185, 16, 374, 520, 18, 20466, 16, 656, 7836, 16, 374, 282, 25546, 9988, 385, 12536, 16, 2024, 417, 1314, 3478, 5221, 282, 8267, 478, 13467, 470, 651, 478, 49431, 10595, 861, 1397, 41798, 282, 1264, 30, 4466 ]
[ 329, 813, 334, 17, 324, 19035, 2545, 651, 7732, 2117, 281, 15825, 411, 9268, 41708, 16, 10546, 651, 411, 14515, 723, 1735, 1336, 16, 2628, 16, 1851, 17, 299, 7746, 23851, 912, 16, 515, 475, 840, 9258, 506, 309, 4577, 18, 365, 48909, 342, 263, 16004, 1241, 19849, 289, 7188, 264, 1396, 18, 1303, 481, 11875, 16, 374, 411, 965, 12547, 4966, 16, 656, 322, 7836, 16, 2391, 1314, 942, 290, 828, 6922, 3111, 16, 367, 475, 10201, 4577, 18, 3654, 22452, 16, 785, 1299, 45287, 48909, 2880, 35, 7743, 282, 970, 16, 374, 656, 281, 2872, 7187, 6457, 451, 10133, 6281, 18, 1606, 24581, 17, 293, 9973, 16, 367, 656, 1745, 322, 36653, 18, 459, 745, 813, 475, 3066, 6959, 5317, 651, 289, 519, 7618, 861, 9046, 4381, 42222, 7342, 2553, 322, 41174, 26003, 27260, 16, 1038, 322, 2410, 21677, 13534, 18, 5161, 16, 39207, 14118, 3720, 20990, 375, 685, 13575, 2603, 928, 282, 4531, 285, 17, 288, 913, 1011, 9764, 505, 4966, 282, 8267, 7561, 1195, 478, 789, 397, 315, 470, 473, 26, 30, 20, 814, 478, 45211, 2497, 4966, 910, 510, 21085, 1109, 24026, 289, 322, 1559, 14459, 5170, 282, 6266, 18, 478, 25855, 24725, 4786, 18, 48909, 2880, 651, 939, 23093, 7193, 18, 740, 16, 2091, 16, 329, 813, 912, 16171, 309, 2019, 282, 22979, 17, 49817, 16, 510, 15875, 10027, 8818, 28253, 17506, 478, 684, 31467, 470, 289, 7583, 7342, 27585, 2086, 272, 669, 18, 510, 1483, 18823, 29376, 29058, 417, 2060, 2500, 16, 367, 1215, 329, 21897, 23093, 7193, 16, 282, 5271, 1754, 1269, 16801, 5856, 12525, 861, 478, 38960, 513, 34444, 18, 27252, 320, 1157, 1299, 334, 26246, 18, 5093, 13761, 16, 6281, 282, 1595, 12544, 289, 30947, 16616, 18, 30282, 2445, 520, 411, 3463, 35, 6754, 743, 339, 16, 25983, 910, 510, 4725, 774, 34544, 478, 25626, 470, 4944, 3183, 2325, 18, 26632, 8260, 15385, 34405, 685, 10793, 12968, 269, 1949, 7426, 47583, 1175, 16, 39914, 478, 13555, 268, 540, 287, 470, 15136, 8454, 2347, 18, 478, 4348, 3984, 26236, 294, 9017, 7739, 3033, 18, 20670, 649, 411, 1335, 3463, 16, 9763, 16, 942, 18, 48909, 2880, 651, 1176, 411, 13764, 13340, 11908, 16, 453, 374, 281, 1335, 15825, 1514, 475, 6218, 910, 510, 1109, 32124, 18, 478, 46937, 16, 290, 1574, 31933, 5030, 582, 44588, 475, 24100, 5752, 5781, 2954, 5, 6023, 9032, 887, 7739, 1157, 16, 281, 6133, 322, 1139, 942, 6281, 16, 510, 2815, 16568, 451, 4770, 36226, 18159, 33959, 2449, 18, 510, 2465, 3073, 16, 329, 2759, 7342, 24695, 16432, 334, 1514, 10147, 18249, 18, 8276, 16, 827, 27162, 281, 29376, 18107, 355, 289, 9320, 10377, 18, 385, 48909, 2484, 16, 2091, 16, 840, 16859, 861, 365, 1917, 271, 33959, 2449, 272, 289, 10193, 38656, 4454, 6370, 385, 3051, 273, 18, 478, 19479, 10041, 16, 1033, 16244, 3463, 541, 1175, 935, 7339, 6348, 18, 3923, 16, 912, 48909, 2880, 281, 7188, 264, 1396, 304, 289, 1241, 19849, 18, 889, 5416, 18, 740, 48909, 2880, 289, 3771, 428, 445, 289, 18222, 2915, 18, 21207, 1162, 18107, 274, 35, 48234, 16895, 1033, 30042, 21755, 18, 21620, 726, 322, 1500, 18, 385, 4111, 23087, 289, 453, 5287, 16, 31354, 549, 25568, 21238, 282, 4008, 861, 43149, 312, 928, 685, 10193, 38656, 9680, 16, 367, 4373, 11309, 16934, 16095, 11819, 431, 512, 1624, 1814, 1815, 16, 374, 3771, 29048, 13761, 282, 22979, 17, 21131, 18, 478, 34502, 2310, 16, 374, 3771, 289, 48909, 2880, 651, 481, 1008, 448, 28608, 42730, 3463, 18, 3747, 281, 9320, 10377, 289, 29376, 18107, 355, 1038, 2955, 12080, 5170, 16, 510, 1109, 11819, 431, 512, 18, 510, 1345, 322, 453, 1269, 7836, 290, 1129, 16, 515, 745, 16, 2091, 16, 1747, 21299, 5559, 309, 3417, 7540, 18, 11324, 16, 7045, 2709, 22978, 382, 322, 14864, 18, 365, 5329, 16, 4786, 2972, 13713, 18, 1345, 15434, 3858, 1291, 282, 22979, 17, 21131, 18, 3759, 935, 1949, 42681, 953, 322, 895, 5, 1397, 1373, 18582, 5433, 439, 1215, 8022, 26790, 25941, 17853, 282, 12013, 1175, 478, 29428, 470, 9543, 4926, 375, 281, 29108, 31105, 289, 7739, 2409, 322, 7214, 18, 478, 6039, 3463, 939, 5774, 448, 16, 282, 970, 2875, 289, 5571, 18, 1303, 5917, 360, 924, 16, 428, 7193, 2828, 847, 294, 4027, 552, 2422, 16, 25883, 11178, 19193, 282, 2759, 8933, 1003, 16, 428, 289, 1008, 432, 49338, 712, 16, 510, 4725, 4926, 375, 282, 10936, 30572, 8818, 18, 510, 1178, 1085, 17, 299, 10500, 16, 374, 21620, 651, 481, 7193, 322, 939, 10427, 4999, 16, 502, 492, 15414, 484, 16, 1696, 1122, 912, 1574, 1635, 29597, 451, 4960, 16, 428, 385, 12536, 18, 8019, 16, 12816, 1299, 3073, 16, 374, 28608, 42730, 651, 3771, 289, 48909, 2880, 16, 515, 417, 3684, 16, 374, 1513, 953, 281, 2733, 10940, 304, 4850, 968, 861, 985, 3147, 37766, 33598, 1881, 15580, 424, 14776, 864, 289, 7739, 1157, 7342, 1175, 18, 4824, 411, 45593, 329, 570, 2880, 680, 4966, 19758, 354, 301, 37022, 3008, 935, 2815, 282, 20175, 281, 17604, 496, 478, 24686, 11562, 354, 910, 374, 505, 1375, 353, 620, 685, 9867, 629, 5101, 18, 478, 4580, 1138, 267, 549, 4786, 18, 17369, 11723, 18908, 477, 19297, 17, 11092, 761, 7561, 2422, 18, 3771, 1623, 474, 33545, 536, 11947, 28397, 33450, 15948, 16, 510, 4725, 329, 570, 2880, 778, 12987, 18, 640, 9837, 1119, 8077, 7193, 10201, 18035, 42971, 16129, 18, 22960, 417, 2060, 411, 1175, 35, 9867, 629, 5101, 651, 2218, 1375, 6952, 18, 439, 290, 24951, 4960, 1408, 417, 3111, 322, 3478, 30, 44098, 322, 3111, 290, 7739, 4044, 519, 290, 1941, 5790, 18, 629, 5185, 31121, 778, 10133, 1175, 477, 7342, 11254, 473, 23, 30, 23, 814, 2667, 1746, 451, 6441, 281, 40427, 7739, 2409, 18, 30067, 48909, 1063, 651, 6863, 411, 3463, 289, 27714, 428, 942, 1143, 12994, 18, 1397, 5327, 10528, 16, 656, 3984, 5978, 13609, 1756, 294, 867, 38540, 16, 988, 1299, 10412, 6281, 18, 19613, 13943, 1251, 12007, 304, 17, 324, 17, 26148, 289, 22273, 323, 861, 14427, 9680, 7342, 21897, 5223, 755, 49083, 8566, 49338, 496, 424, 31541, 18823, 48909, 1063, 16, 8084, 16, 23277, 538, 3712, 1271, 10318, 349, 2019, 282, 22979, 17, 21131, 281, 2759, 7342, 18, 478, 6039, 4966, 939, 15170, 16, 515, 656, 3984, 11203, 18, 48909, 2880, 35808, 309, 4784, 8011, 282, 2759, 8933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 329, 813, 334, 17, 324, 19035, 2545, 651, 7732, 2117, 281, 15825, 411, 9268, 41708, 16, 10546, 651, 411, 14515, 723, 1735, 1336, 16, 2628, 16, 1851, 17, 299, 7746, 23851, 912, 16, 515, 475, 840, 9258, 506, 309, 4577, 18, 365, 48909, 342, 263, 16004, 1241, 19849, 289, 7188, 264, 1396, 18, 1303, 481, 11875, 16, 374, 411, 965, 12547, 4966, 16, 656, 322, 7836, 16, 2391, 1314, 942, 290, 828, 6922, 3111, 16, 367, 475, 10201, 4577, 18, 3654, 22452, 16, 785, 1299, 45287, 48909, 2880, 35, 7743, 282, 970, 16, 374, 656, 281, 2872, 7187, 6457, 451, 10133, 6281, 18, 1606, 24581, 17, 293, 9973, 16, 367, 656, 1745, 322, 36653, 18, 459, 745, 813, 475, 3066, 6959, 5317, 651, 289, 519, 7618, 861, 9046, 4381, 42222, 7342, 2553, 322, 41174, 26003, 27260, 16, 1038, 322, 2410, 21677, 13534, 18, 5161, 16, 39207, 14118, 3720, 20990, 375, 685, 13575, 2603, 928, 282, 4531, 285, 17, 288, 913, 1011, 9764, 505, 4966, 282, 8267, 7561, 1195, 478, 789, 397, 315, 470, 473, 26, 30, 20, 814, 478, 45211, 2497, 4966, 910, 510, 21085, 1109, 24026, 289, 322, 1559, 14459, 5170, 282, 6266, 18, 478, 25855, 24725, 4786, 18, 48909, 2880, 651, 939, 23093, 7193, 18, 740, 16, 2091, 16, 329, 813, 912, 16171, 309, 2019, 282, 22979, 17, 49817, 16, 510, 15875, 10027, 8818, 28253, 17506, 478, 684, 31467, 470, 289, 7583, 7342, 27585, 2086, 272, 669, 18, 510, 1483, 18823, 29376, 29058, 417, 2060, 2500, 16, 367, 1215, 329, 21897, 23093, 7193, 16, 282, 5271, 1754, 1269, 16801, 5856, 12525, 861, 478, 38960, 513, 34444, 18, 27252, 320, 1157, 1299, 334, 26246, 18, 5093, 13761, 16, 6281, 282, 1595, 12544, 289, 30947, 16616, 18, 30282, 2445, 520, 411, 3463, 35, 6754, 743, 339, 16, 25983, 910, 510, 4725, 774, 34544, 478, 25626, 470, 4944, 3183, 2325, 18, 26632, 8260, 15385, 34405, 685, 10793, 12968, 269, 1949, 7426, 47583, 1175, 16, 39914, 478, 13555, 268, 540, 287, 470, 15136, 8454, 2347, 18, 478, 4348, 3984, 26236, 294, 9017, 7739, 3033, 18, 20670, 649, 411, 1335, 3463, 16, 9763, 16, 942, 18, 48909, 2880, 651, 1176, 411, 13764, 13340, 11908, 16, 453, 374, 281, 1335, 15825, 1514, 475, 6218, 910, 510, 1109, 32124, 18, 478, 46937, 16, 290, 1574, 31933, 5030, 582, 44588, 475, 24100, 5752, 5781, 2954, 5, 6023, 9032, 887, 7739, 1157, 16, 281, 6133, 322, 1139, 942, 6281, 16, 510, 2815, 16568, 451, 4770, 36226, 18159, 33959, 2449, 18, 510, 2465, 3073, 16, 329, 2759, 7342, 24695, 16432, 334, 1514, 10147, 18249, 18, 8276, 16, 827, 27162, 281, 29376, 18107, 355, 289, 9320, 10377, 18, 385, 48909, 2484, 16, 2091, 16, 840, 16859, 861, 365, 1917, 271, 33959, 2449, 272, 289, 10193, 38656, 4454, 6370, 385, 3051, 273, 18, 478, 19479, 10041, 16, 1033, 16244, 3463, 541, 1175, 935, 7339, 6348, 18, 3923, 16, 912, 48909, 2880, 281, 7188, 264, 1396, 304, 289, 1241, 19849, 18, 889, 5416, 18, 740, 48909, 2880, 289, 3771, 428, 445, 289, 18222, 2915, 18, 21207, 1162, 18107, 274, 35, 48234, 16895, 1033, 30042, 21755, 18, 21620, 726, 322, 1500, 18, 385, 4111, 23087, 289, 453, 5287, 16, 31354, 549, 25568, 21238, 282, 4008, 861, 43149, 312, 928, 685, 10193, 38656, 9680, 16, 367, 4373, 11309, 16934, 16095, 11819, 431, 512, 1624, 1814, 1815, 16, 374, 3771, 29048, 13761, 282, 22979, 17, 21131, 18, 478, 34502, 2310, 16, 374, 3771, 289, 48909, 2880, 651, 481, 1008, 448, 28608, 42730, 3463, 18, 3747, 281, 9320, 10377, 289, 29376, 18107, 355, 1038, 2955, 12080, 5170, 16, 510, 1109, 11819, 431, 512, 18, 510, 1345, 322, 453, 1269, 7836, 290, 1129, 16, 515, 745, 16, 2091, 16, 1747, 21299, 5559, 309, 3417, 7540, 18, 11324, 16, 7045, 2709, 22978, 382, 322, 14864, 18, 365, 5329, 16, 4786, 2972, 13713, 18, 1345, 15434, 3858, 1291, 282, 22979, 17, 21131, 18, 3759, 935, 1949, 42681, 953, 322, 895, 5, 1397, 1373, 18582, 5433, 439, 1215, 8022, 26790, 25941, 17853, 282, 12013, 1175, 478, 29428, 470, 9543, 4926, 375, 281, 29108, 31105, 289, 7739, 2409, 322, 7214, 18, 478, 6039, 3463, 939, 5774, 448, 16, 282, 970, 2875, 289, 5571, 18, 1303, 5917, 360, 924, 16, 428, 7193, 2828, 847, 294, 4027, 552, 2422, 16, 25883, 11178, 19193, 282, 2759, 8933, 1003, 16, 428, 289, 1008, 432, 49338, 712, 16, 510, 4725, 4926, 375, 282, 10936, 30572, 8818, 18, 510, 1178, 1085, 17, 299, 10500, 16, 374, 21620, 651, 481, 7193, 322, 939, 10427, 4999, 16, 502, 492, 15414, 484, 16, 1696, 1122, 912, 1574, 1635, 29597, 451, 4960, 16, 428, 385, 12536, 18, 8019, 16, 12816, 1299, 3073, 16, 374, 28608, 42730, 651, 3771, 289, 48909, 2880, 16, 515, 417, 3684, 16, 374, 1513, 953, 281, 2733, 10940, 304, 4850, 968, 861, 985, 3147, 37766, 33598, 1881, 15580, 424, 14776, 864, 289, 7739, 1157, 7342, 1175, 18, 4824, 411, 45593, 329, 570, 2880, 680, 4966, 19758, 354, 301, 37022, 3008, 935, 2815, 282, 20175, 281, 17604, 496, 478, 24686, 11562, 354, 910, 374, 505, 1375, 353, 620, 685, 9867, 629, 5101, 18, 478, 4580, 1138, 267, 549, 4786, 18, 17369, 11723, 18908, 477, 19297, 17, 11092, 761, 7561, 2422, 18, 3771, 1623, 474, 33545, 536, 11947, 28397, 33450, 15948, 16, 510, 4725, 329, 570, 2880, 778, 12987, 18, 640, 9837, 1119, 8077, 7193, 10201, 18035, 42971, 16129, 18, 22960, 417, 2060, 411, 1175, 35, 9867, 629, 5101, 651, 2218, 1375, 6952, 18, 439, 290, 24951, 4960, 1408, 417, 3111, 322, 3478, 30, 44098, 322, 3111, 290, 7739, 4044, 519, 290, 1941, 5790, 18, 629, 5185, 31121, 778, 10133, 1175, 477, 7342, 11254, 473, 23, 30, 23, 814, 2667, 1746, 451, 6441, 281, 40427, 7739, 2409, 18, 30067, 48909, 1063, 651, 6863, 411, 3463, 289, 27714, 428, 942, 1143, 12994, 18, 1397, 5327, 10528, 16, 656, 3984, 5978, 13609, 1756, 294, 867, 38540, 16, 988, 1299, 10412, 6281, 18, 19613, 13943, 1251, 12007, 304, 17, 324, 17, 26148, 289, 22273, 323, 861, 14427, 9680, 7342, 21897, 5223, 755, 49083, 8566, 49338, 496, 424, 31541, 18823, 48909, 1063, 16, 8084, 16, 23277, 538, 3712, 1271, 10318, 349, 2019, 282, 22979, 17, 21131, 281, 2759, 7342, 18, 478, 6039, 4966, 939, 15170, 16, 515, 656, 3984, 11203, 18, 48909, 2880, 35808, 309, 4784, 8011, 282, 2759, 8933 ]
[ 16, 6247, 34611, 1886, 309, 12376, 4378, 13440, 282, 22979, 17, 21131, 861, 10482, 16, 374, 282, 8267, 12037, 7561, 2422, 309, 4577, 39555, 1871, 2903, 1527, 334, 11791, 877, 24308, 4966, 2496, 1209, 6367, 651, 3771, 289, 21207, 1162, 18107, 274, 18, 385, 4778, 16264, 289, 13280, 387, 2890, 16228, 309, 7759, 7561, 2422, 510, 11826, 282, 1175, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 24569, 16435, 300, 27470, 37694, 48127, 853, 9372, 649, 9235, 2279, 334, 6619, 290, 821, 607, 264, 464, 281, 1601, 609, 27993, 33057, 478, 618, 342, 23074, 861, 31224, 30, 15309, 2576, 451, 1551, 19280, 17, 32525, 507, 16435, 300, 27470, 289, 19279, 16275, 37694, 48127, 356, 367, 14090, 1601, 609, 3047, 33057, 8621, 478, 618, 342, 3430, 470, 11675, 2675, 38121, 8860, 8604, 16, 17627, 2989, 48127, 853, 282, 821, 607, 264, 464, 505, 3182, 18, 967, 803, 16044, 29333, 47530, 9302, 280, 43063, 9235, 1159, 282, 49594, 294, 25483, 8785, 4151, 289, 17150, 8703, 48127, 853, 289, 14008, 20509, 347, 272, 16, 8840, 8380, 2909, 9440, 4276, 2241, 36008, 849, 10537, 42165, 18, 478, 4348, 2125, 953, 939, 4850, 758, 16, 785, 4498, 3419, 381, 2181, 1751, 289, 3352, 910, 510, 1109, 16044, 371, 10954, 763, 44462, 354, 18, 5043, 16, 11675, 548, 8860, 8604, 43959, 322, 21038, 30, 282, 697, 18979, 14874, 6409, 24153, 1209, 4760, 281, 27343, 16, 6133, 567, 808, 1810, 1195, 478, 618, 36291, 620, 470, 23251, 48127, 356, 18, 30233, 1263, 8860, 868, 13875, 764, 282, 11023, 4440, 779, 16, 10180, 6954, 27470, 282, 901, 452, 1360, 8059, 18, 824, 3163, 9235, 613, 16, 281, 9315, 779, 16, 567, 808, 1810, 282, 8380, 2909, 9440, 4276, 2241, 36008, 849, 10537, 42165, 16, 492, 2364, 1949, 986, 5931, 1195, 7459, 16362, 424, 7848, 478, 47, 18, 54, 18, 62, 18, 1939, 12743, 861, 24491, 309, 5137, 978, 33057, 16, 334, 4382, 582, 8860, 8604, 16, 1943, 685, 953, 47392, 536, 20151, 635, 16, 26926, 3860, 10107, 13258, 10026, 16, 367, 2496, 505, 14582, 898, 15647, 318, 289, 24376, 304, 29117, 448, 35066, 297, 1007, 42301, 9309, 16, 289, 30374, 16, 2024, 9770, 2969, 1941, 19504, 424, 10492, 305, 294, 2184, 35066, 5039, 395, 289, 1029, 2512, 36289, 29467, 1279, 6569, 1634, 49154, 289, 29423, 680, 19915, 592, 2198, 12942, 332, 510, 1653, 481, 5747, 11116, 289, 282, 44291, 48127, 1305, 359, 11186, 18, 2263, 20295, 22014, 16, 374, 12961, 478, 618, 342, 23074, 470, 18851, 282, 8151, 8497, 17, 292, 31, 1655, 575, 492, 6463, 2615, 6029, 33057, 289, 9170, 27405, 294, 10276, 1876, 1833, 1011, 5797, 26955, 478, 789, 1004, 837, 910, 1195, 3279, 1655, 5931, 18, 5043, 16, 8059, 16, 961, 492, 2963, 21001, 16, 898, 349, 13952, 11548, 1655, 27156, 8786, 16, 289, 7794, 9190, 4781, 807, 5967, 639, 12988, 1569, 309, 1269, 986, 31, 1472, 282, 6982, 1045, 48127, 356, 5264, 294, 3705, 1195, 5048, 416, 18, 478, 618, 342, 3430, 470, 4223, 282, 11023, 5021, 779, 16, 28474, 4843, 22, 16, 10272, 5096, 289, 1559, 3818, 11726, 536, 47991, 1209, 2252, 289, 9768, 510, 827, 16, 2091, 16, 322, 15870, 45894, 1066, 289, 15634, 5995, 26716, 18, 2949, 924, 16, 478, 618, 342, 3430, 470, 3619, 1272, 478, 49932, 770, 9304, 6041, 470, 428, 22892, 11441, 289, 349, 9440, 272, 344, 16, 1421, 478, 630, 43123, 470, 510, 3754, 16, 1472, 282, 15662, 16061, 4678, 16, 367, 1038, 13504, 10306, 309, 816, 40, 18, 2112, 2900, 9792, 48127, 356, 6938, 10218, 290, 10276, 1165, 1949, 2518, 891, 510, 745, 2125, 6863, 282, 2801, 289, 2604, 6206, 18, 49341, 2202, 937, 16, 374, 282, 3106, 11861, 48150, 371, 11184, 478, 618, 342, 23074, 470, 492, 17463, 38845, 4671, 331, 24135, 289, 49895, 47900, 16, 2393, 10182, 928, 2257, 289, 10779, 2257, 4556, 16, 26914, 277, 768, 525, 262, 421, 746, 40932, 3588, 478, 39088, 35863, 1192, 315, 3305, 263, 470, 289, 6793, 24407, 12046, 20750, 7671, 478, 47621, 321, 4990, 281, 1252, 1082, 861, 740, 360, 37976, 282, 821, 607, 264, 464, 870, 22714, 48127, 853, 322, 35610, 18, 5890, 5487, 28929, 23539, 3484, 282, 1169, 28200, 281, 6170, 404, 28391, 856, 761, 478, 16385, 292, 31038, 267, 910, 367, 34591, 6242, 1157, 3043, 5740, 282, 12462, 4275, 412, 12258, 978, 26914, 429, 16, 1029, 281, 3195, 2500, 27867, 9358, 3673, 18236, 282, 11618, 478, 618, 342, 23074, 861, 15398, 510, 1143, 18, 9873, 8860, 8604, 309, 282, 1551, 309, 27470, 13875, 289, 9916, 17, 36773, 285, 18357, 2128, 14294, 16, 1029, 3893, 16, 374, 48127, 356, 4445, 349, 14548, 505, 42236, 294, 6793, 395, 478, 16563, 342, 5902, 470, 289, 478, 18644, 382, 30, 8154, 1070, 861, 18357, 2128, 22246, 13312, 282, 4843, 22, 16, 25, 5096, 16, 11617, 575, 26279, 8860, 8604, 322, 41666, 6345, 18, 3739, 519, 1967, 1263, 291, 15696, 18974, 24601, 282, 9131, 454, 21508, 8580, 290, 970, 16, 374, 282, 8455, 1045, 6463, 21113, 16, 1029, 445, 397, 39783, 13505, 38699, 277, 16, 282, 2875, 1639, 906, 289, 36008, 849, 10537, 42165, 31, 492, 4609, 937, 5175, 425, 1949, 7459, 9391, 282, 6459, 5999, 14586, 289, 2132, 2683, 448, 13228, 18, 9807, 778, 1551, 2859, 31241, 1263, 15252, 35855, 6194, 10989, 825, 473, 62, 76, 765, 5731, 69, 838, 765, 934, 1029, 2271, 1738, 16, 374, 11618, 478, 618, 342, 23074, 470, 22956, 309, 505, 8372, 478, 12145, 5039, 347, 290, 6062, 304, 4907, 404, 910, 3876, 4068, 282, 10798, 1045, 289, 6489, 4068, 8063, 1272, 779, 6396, 18, 21552, 5319, 20848, 2376, 4944, 18580, 3221, 1737, 11618, 8621, 48127, 853, 281, 6428, 24386, 478, 630, 2221, 2070, 910, 3387, 282, 1169, 25892, 2230, 29426, 10993, 418, 18, 13353, 5335, 315, 27866, 8967, 478, 7530, 597, 34319, 14683, 289, 23856, 1767, 910, 961, 34856, 48127, 853, 282, 821, 607, 264, 464, 1833, 329, 22784, 16885, 6210, 1356, 16, 2496, 1639, 15017, 1845, 6625, 44582, 16, 4210, 21548, 1798, 16, 6061, 39516, 291, 1624, 10196, 6606, 1018, 5881, 1624, 7974, 450, 743, 291, 289, 10467, 10467, 2612, 31, 9705, 16, 282, 7204, 1750, 1743, 11176, 1323, 687, 5564, 536, 29582, 18, 38659, 27470, 39389, 21232, 280, 267, 764, 282, 4440, 1045, 2815, 16, 374, 15463, 5184, 624, 48127, 853, 10560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 6247, 34611, 1886, 309, 12376, 4378, 13440, 282, 22979, 17, 21131, 861, 10482, 16, 374, 282, 8267, 12037, 7561, 2422, 309, 4577, 39555, 1871, 2903, 1527, 334, 11791, 877, 24308, 4966, 2496, 1209, 6367, 651, 3771, 289, 21207, 1162, 18107, 274, 18, 385, 4778, 16264, 289, 13280, 387, 2890, 16228, 309, 7759, 7561, 2422, 510, 11826, 282, 1175, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 24569, 16435, 300, 27470, 37694, 48127, 853, 9372, 649, 9235, 2279, 334, 6619, 290, 821, 607, 264, 464, 281, 1601, 609, 27993, 33057, 478, 618, 342, 23074, 861, 31224, 30, 15309, 2576, 451, 1551, 19280, 17, 32525, 507, 16435, 300, 27470, 289, 19279, 16275, 37694, 48127, 356, 367, 14090, 1601, 609, 3047, 33057, 8621, 478, 618, 342, 3430, 470, 11675, 2675, 38121, 8860, 8604, 16, 17627, 2989, 48127, 853, 282, 821, 607, 264, 464, 505, 3182, 18, 967, 803, 16044, 29333, 47530, 9302, 280, 43063, 9235, 1159, 282, 49594, 294, 25483, 8785, 4151, 289, 17150, 8703, 48127, 853, 289, 14008, 20509, 347, 272, 16, 8840, 8380, 2909, 9440, 4276, 2241, 36008, 849, 10537, 42165, 18, 478, 4348, 2125, 953, 939, 4850, 758, 16, 785, 4498, 3419, 381, 2181, 1751, 289, 3352, 910, 510, 1109, 16044, 371, 10954, 763, 44462, 354, 18, 5043, 16, 11675, 548, 8860, 8604, 43959, 322, 21038, 30, 282, 697, 18979, 14874, 6409, 24153, 1209, 4760, 281, 27343, 16, 6133, 567, 808, 1810, 1195, 478, 618, 36291, 620, 470, 23251, 48127, 356, 18, 30233, 1263, 8860, 868, 13875, 764, 282, 11023, 4440, 779, 16, 10180, 6954, 27470, 282, 901, 452, 1360, 8059, 18, 824, 3163, 9235, 613, 16, 281, 9315, 779, 16, 567, 808, 1810, 282, 8380, 2909, 9440, 4276, 2241, 36008, 849, 10537, 42165, 16, 492, 2364, 1949, 986, 5931, 1195, 7459, 16362, 424, 7848, 478, 47, 18, 54, 18, 62, 18, 1939, 12743, 861, 24491, 309, 5137, 978, 33057, 16, 334, 4382, 582, 8860, 8604, 16, 1943, 685, 953, 47392, 536, 20151, 635, 16, 26926, 3860, 10107, 13258, 10026, 16, 367, 2496, 505, 14582, 898, 15647, 318, 289, 24376, 304, 29117, 448, 35066, 297, 1007, 42301, 9309, 16, 289, 30374, 16, 2024, 9770, 2969, 1941, 19504, 424, 10492, 305, 294, 2184, 35066, 5039, 395, 289, 1029, 2512, 36289, 29467, 1279, 6569, 1634, 49154, 289, 29423, 680, 19915, 592, 2198, 12942, 332, 510, 1653, 481, 5747, 11116, 289, 282, 44291, 48127, 1305, 359, 11186, 18, 2263, 20295, 22014, 16, 374, 12961, 478, 618, 342, 23074, 470, 18851, 282, 8151, 8497, 17, 292, 31, 1655, 575, 492, 6463, 2615, 6029, 33057, 289, 9170, 27405, 294, 10276, 1876, 1833, 1011, 5797, 26955, 478, 789, 1004, 837, 910, 1195, 3279, 1655, 5931, 18, 5043, 16, 8059, 16, 961, 492, 2963, 21001, 16, 898, 349, 13952, 11548, 1655, 27156, 8786, 16, 289, 7794, 9190, 4781, 807, 5967, 639, 12988, 1569, 309, 1269, 986, 31, 1472, 282, 6982, 1045, 48127, 356, 5264, 294, 3705, 1195, 5048, 416, 18, 478, 618, 342, 3430, 470, 4223, 282, 11023, 5021, 779, 16, 28474, 4843, 22, 16, 10272, 5096, 289, 1559, 3818, 11726, 536, 47991, 1209, 2252, 289, 9768, 510, 827, 16, 2091, 16, 322, 15870, 45894, 1066, 289, 15634, 5995, 26716, 18, 2949, 924, 16, 478, 618, 342, 3430, 470, 3619, 1272, 478, 49932, 770, 9304, 6041, 470, 428, 22892, 11441, 289, 349, 9440, 272, 344, 16, 1421, 478, 630, 43123, 470, 510, 3754, 16, 1472, 282, 15662, 16061, 4678, 16, 367, 1038, 13504, 10306, 309, 816, 40, 18, 2112, 2900, 9792, 48127, 356, 6938, 10218, 290, 10276, 1165, 1949, 2518, 891, 510, 745, 2125, 6863, 282, 2801, 289, 2604, 6206, 18, 49341, 2202, 937, 16, 374, 282, 3106, 11861, 48150, 371, 11184, 478, 618, 342, 23074, 470, 492, 17463, 38845, 4671, 331, 24135, 289, 49895, 47900, 16, 2393, 10182, 928, 2257, 289, 10779, 2257, 4556, 16, 26914, 277, 768, 525, 262, 421, 746, 40932, 3588, 478, 39088, 35863, 1192, 315, 3305, 263, 470, 289, 6793, 24407, 12046, 20750, 7671, 478, 47621, 321, 4990, 281, 1252, 1082, 861, 740, 360, 37976, 282, 821, 607, 264, 464, 870, 22714, 48127, 853, 322, 35610, 18, 5890, 5487, 28929, 23539, 3484, 282, 1169, 28200, 281, 6170, 404, 28391, 856, 761, 478, 16385, 292, 31038, 267, 910, 367, 34591, 6242, 1157, 3043, 5740, 282, 12462, 4275, 412, 12258, 978, 26914, 429, 16, 1029, 281, 3195, 2500, 27867, 9358, 3673, 18236, 282, 11618, 478, 618, 342, 23074, 861, 15398, 510, 1143, 18, 9873, 8860, 8604, 309, 282, 1551, 309, 27470, 13875, 289, 9916, 17, 36773, 285, 18357, 2128, 14294, 16, 1029, 3893, 16, 374, 48127, 356, 4445, 349, 14548, 505, 42236, 294, 6793, 395, 478, 16563, 342, 5902, 470, 289, 478, 18644, 382, 30, 8154, 1070, 861, 18357, 2128, 22246, 13312, 282, 4843, 22, 16, 25, 5096, 16, 11617, 575, 26279, 8860, 8604, 322, 41666, 6345, 18, 3739, 519, 1967, 1263, 291, 15696, 18974, 24601, 282, 9131, 454, 21508, 8580, 290, 970, 16, 374, 282, 8455, 1045, 6463, 21113, 16, 1029, 445, 397, 39783, 13505, 38699, 277, 16, 282, 2875, 1639, 906, 289, 36008, 849, 10537, 42165, 31, 492, 4609, 937, 5175, 425, 1949, 7459, 9391, 282, 6459, 5999, 14586, 289, 2132, 2683, 448, 13228, 18, 9807, 778, 1551, 2859, 31241, 1263, 15252, 35855, 6194, 10989, 825, 473, 62, 76, 765, 5731, 69, 838, 765, 934, 1029, 2271, 1738, 16, 374, 11618, 478, 618, 342, 23074, 470, 22956, 309, 505, 8372, 478, 12145, 5039, 347, 290, 6062, 304, 4907, 404, 910, 3876, 4068, 282, 10798, 1045, 289, 6489, 4068, 8063, 1272, 779, 6396, 18, 21552, 5319, 20848, 2376, 4944, 18580, 3221, 1737, 11618, 8621, 48127, 853, 281, 6428, 24386, 478, 630, 2221, 2070, 910, 3387, 282, 1169, 25892, 2230, 29426, 10993, 418, 18, 13353, 5335, 315, 27866, 8967, 478, 7530, 597, 34319, 14683, 289, 23856, 1767, 910, 961, 34856, 48127, 853, 282, 821, 607, 264, 464, 1833, 329, 22784, 16885, 6210, 1356, 16, 2496, 1639, 15017, 1845, 6625, 44582, 16, 4210, 21548, 1798, 16, 6061, 39516, 291, 1624, 10196, 6606, 1018, 5881, 1624, 7974, 450, 743, 291, 289, 10467, 10467, 2612, 31, 9705, 16, 282, 7204, 1750, 1743, 11176, 1323, 687, 5564, 536, 29582, 18, 38659, 27470, 39389, 21232, 280, 267, 764, 282, 4440, 1045, 2815, 16, 374, 15463, 5184, 624, 48127, 853, 10560 ]
[ 7819, 2033, 276, 289, 1747, 11103, 2626, 309, 12564, 16, 367, 3591, 16, 1085, 26628, 47620, 12138, 8121, 478, 618, 342, 23074, 470, 282, 821, 607, 264, 464, 16, 8633, 537, 281, 828, 18, 11966, 16, 4498, 7387, 1717, 290, 1110, 1601, 609, 43867, 16, 961, 48127, 4681, 1441, 10412, 18794, 411, 35741, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 18872, 10731, 36667, 18137, 1281, 7032, 289, 45845, 26755, 43691, 16, 41282, 281, 478, 16376, 1703, 17719, 861, 985, 6442, 282, 18747, 16, 5688, 2906, 34399, 1817, 39269, 309, 2923, 1175, 16, 1011, 1660, 38060, 6924, 8438, 294, 8736, 1876, 282, 8144, 18, 39442, 15948, 46946, 3637, 49191, 4195, 1378, 8182, 1512, 16, 753, 281, 697, 3195, 5848, 13073, 2257, 6053, 18, 31224, 30, 42945, 945, 1157, 18747, 5698, 326, 282, 18872, 10731, 1568, 11452, 312, 15920, 13073, 4846, 25489, 454, 16, 2196, 7539, 281, 4092, 13360, 282, 1175, 9251, 19906, 478, 26994, 7441, 470, 473, 11619, 4504, 32587, 282, 1175, 814, 1367, 803, 6442, 282, 41305, 12971, 16891, 11413, 18, 985, 2438, 3665, 16, 10299, 22056, 18137, 1281, 1135, 30, 1294, 320, 770, 15581, 289, 2287, 2954, 16, 17518, 973, 424, 697, 7957, 18, 365, 4810, 16, 33991, 46946, 3637, 49191, 4195, 4934, 22051, 16, 753, 3836, 697, 541, 5743, 9163, 32361, 432, 8296, 309, 2923, 1175, 18, 2112, 39269, 282, 2407, 11009, 17567, 38060, 23905, 294, 8736, 1876, 282, 8144, 16, 6442, 282, 18747, 18, 14187, 304, 662, 6489, 576, 36054, 6573, 44121, 553, 334, 37589, 582, 7032, 43691, 18, 4824, 411, 25935, 1051, 685, 20817, 282, 1500, 2083, 16, 785, 16576, 271, 5472, 411, 4835, 10084, 18, 3791, 2438, 3665, 16, 374, 21340, 13073, 2160, 15948, 15344, 14999, 2001, 640, 20912, 6343, 46934, 318, 16, 2024, 4419, 641, 30302, 349, 10364, 554, 20448, 18, 478, 677, 4542, 1684, 2449, 334, 1281, 4459, 395, 9884, 47525, 30056, 24483, 5472, 289, 42211, 294, 3130, 16, 17664, 41566, 23309, 289, 45878, 5902, 20448, 16, 510, 13120, 282, 3781, 17, 40048, 16, 48638, 2555, 3802, 18, 43733, 9165, 783, 18747, 7801, 10685, 281, 6744, 4869, 8231, 289, 8308, 45174, 18, 4756, 2438, 3665, 16, 374, 10299, 22056, 18137, 29771, 770, 7032, 7766, 1568, 11452, 312, 7733, 43691, 20448, 282, 3507, 18, 24195, 34399, 14232, 548, 282, 11147, 281, 19526, 34638, 432, 7569, 432, 15297, 289, 30056, 5946, 6617, 18, 365, 27246, 6442, 16, 374, 9251, 19906, 2103, 925, 18575, 8561, 394, 282, 8144, 510, 2019, 873, 411, 37536, 11736, 18, 49563, 15581, 20448, 497, 356, 440, 17305, 349, 2948, 17788, 48066, 411, 17, 431, 8535, 16, 367, 1038, 40759, 3416, 11753, 6367, 43691, 18, 478, 1659, 637, 1134, 3463, 2714, 5979, 2961, 12171, 7272, 50225, 553, 16, 30494, 309, 17998, 485, 11998, 536, 36587, 18, 365, 4542, 34396, 1684, 2449, 9884, 47525, 5127, 10328, 30056, 24483, 5472, 16, 23076, 3674, 25608, 281, 26141, 353, 290, 13148, 44252, 21595, 16, 20117, 16058, 34638, 432, 7569, 432, 15297, 16, 367, 1038, 26346, 3674, 910, 510, 40530, 282, 27246, 18, 365, 4599, 39092, 639, 18966, 11969, 1743, 18, 365, 5324, 1038, 49101, 5626, 281, 2223, 37728, 7032, 20448, 18, 365, 3998, 5703, 343, 16, 1029, 28470, 2619, 1949, 1879, 16, 46589, 2852, 39092, 282, 2700, 283, 7478, 16, 18132, 20103, 309, 4841, 18, 2112, 978, 1857, 2444, 17364, 17664, 1356, 16, 1176, 411, 1129, 1968, 1211, 24778, 289, 741, 3519, 12632, 20448, 309, 10255, 18, 3791, 309, 8623, 4750, 15453, 2449, 5460, 5472, 281, 3469, 46068, 16, 49490, 4135, 289, 40891, 27334, 16, 5923, 727, 4742, 18, 25344, 7742, 22056, 11179, 18479, 290, 10908, 4840, 3416, 44252, 417, 48400, 282, 1175, 18, 996, 16, 5854, 1236, 4045, 36731, 2160, 5500, 16879, 4137, 35957, 4848, 16338, 16, 374, 281, 2742, 20420, 779, 36667, 22832, 4030, 2364, 1939, 478, 436, 4687, 417, 48400, 470, 10830, 18981, 16, 961, 18264, 13656, 309, 34947, 33794, 18, 365, 2452, 22398, 366, 22907, 1033, 13435, 1135, 16, 6177, 5906, 411, 1129, 898, 36939, 5578, 16, 4725, 492, 18, 824, 3163, 15020, 19869, 16, 497, 5261, 43691, 18981, 282, 5344, 33310, 23659, 16, 834, 392, 6519, 294, 1190, 309, 20017, 411, 2044, 16, 988, 745, 16831, 3455, 282, 9275, 17343, 18, 11824, 478, 272, 4550, 29314, 15581, 1747, 14629, 2994, 511, 8144, 289, 1888, 43870, 19110, 65, 282, 2553, 16879, 670, 22470, 225, 910, 5273, 12189, 18, 967, 803, 492, 4725, 16, 374, 9099, 15948, 10924, 1033, 828, 282, 5259, 7338, 2422, 16, 6895, 6551, 289, 2393, 4000, 16879, 18, 2706, 3802, 4770, 1175, 4137, 6732, 309, 9155, 281, 1141, 4220, 4741, 7923, 289, 10970, 2661, 3828, 16, 374, 349, 10384, 4776, 978, 779, 8811, 18747, 10908, 3467, 1760, 39269, 18, 999, 5690, 411, 1967, 12517, 9523, 4176, 1453, 1354, 1512, 16, 9299, 9805, 5222, 289, 18519, 18747, 478, 265, 2915, 8714, 4116, 575, 10565, 289, 15571, 282, 49772, 39797, 281, 7824, 3276, 41375, 4118, 11285, 304, 473, 10768, 684, 13, 225, 861, 4185, 19760, 5040, 44252, 5263, 2003, 16, 753, 36667, 31102, 20310, 2204, 15350, 4371, 289, 38216, 8714, 2820, 289, 1641, 32332, 7667, 16, 4725, 6732, 18, 824, 505, 4734, 16, 870, 575, 17225, 4492, 42318, 282, 8384, 281, 17664, 26763, 16, 37612, 16, 367, 1038, 282, 13441, 7233, 8535, 289, 17998, 1290, 9919, 536, 21746, 395, 18, 999, 1119, 519, 978, 14995, 6897, 3623, 2407, 6363, 7907, 344, 3573, 2815, 16, 374, 282, 27957, 1212, 35557, 15161, 1314, 13981, 17359, 45845, 10830, 44252, 41684, 18, 999, 28822, 10384, 4776, 282, 9804, 639, 18966, 17185, 36156, 1552, 290, 41939, 26755, 43598, 16, 4725, 492, 18, 7249, 309, 502, 16, 374, 14232, 548, 282, 16766, 17700, 27012, 462, 16, 17359, 15581, 282, 9804, 48593, 334, 7413, 281, 6383, 17, 353, 15524, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5254, 4921, 5042, 530, 2764, 281, 49320, 25735, 7219, 18, 365, 11872, 10933, 10902, 520, 17091, 4843, 21, 16, 25, 5096, 18, 3747, 5024, 334, 360, 3041, 272, 322, 12733, 467, 49098, 16, 515, 14697, 7968, 1886, 16, 374, 26062, 4461, 2328, 2458, 40909, 2764, 281, 49320, 25735, 7219, 289, 36121, 530, 3956, 7216, 360, 3041, 18, 31224, 30, 24785, 8340, 8219, 4921, 282, 11872, 26986, 281, 49320, 25735, 7219, 1209, 5781, 6802, 7512, 16, 39232, 668, 4843, 21, 16, 25, 5096, 18, 640, 48604, 45059, 3560, 3084, 360, 3041, 510, 4843, 21, 16, 22, 5096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7819, 2033, 276, 289, 1747, 11103, 2626, 309, 12564, 16, 367, 3591, 16, 1085, 26628, 47620, 12138, 8121, 478, 618, 342, 23074, 470, 282, 821, 607, 264, 464, 16, 8633, 537, 281, 828, 18, 11966, 16, 4498, 7387, 1717, 290, 1110, 1601, 609, 43867, 16, 961, 48127, 4681, 1441, 10412, 18794, 411, 35741, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 18872, 10731, 36667, 18137, 1281, 7032, 289, 45845, 26755, 43691, 16, 41282, 281, 478, 16376, 1703, 17719, 861, 985, 6442, 282, 18747, 16, 5688, 2906, 34399, 1817, 39269, 309, 2923, 1175, 16, 1011, 1660, 38060, 6924, 8438, 294, 8736, 1876, 282, 8144, 18, 39442, 15948, 46946, 3637, 49191, 4195, 1378, 8182, 1512, 16, 753, 281, 697, 3195, 5848, 13073, 2257, 6053, 18, 31224, 30, 42945, 945, 1157, 18747, 5698, 326, 282, 18872, 10731, 1568, 11452, 312, 15920, 13073, 4846, 25489, 454, 16, 2196, 7539, 281, 4092, 13360, 282, 1175, 9251, 19906, 478, 26994, 7441, 470, 473, 11619, 4504, 32587, 282, 1175, 814, 1367, 803, 6442, 282, 41305, 12971, 16891, 11413, 18, 985, 2438, 3665, 16, 10299, 22056, 18137, 1281, 1135, 30, 1294, 320, 770, 15581, 289, 2287, 2954, 16, 17518, 973, 424, 697, 7957, 18, 365, 4810, 16, 33991, 46946, 3637, 49191, 4195, 4934, 22051, 16, 753, 3836, 697, 541, 5743, 9163, 32361, 432, 8296, 309, 2923, 1175, 18, 2112, 39269, 282, 2407, 11009, 17567, 38060, 23905, 294, 8736, 1876, 282, 8144, 16, 6442, 282, 18747, 18, 14187, 304, 662, 6489, 576, 36054, 6573, 44121, 553, 334, 37589, 582, 7032, 43691, 18, 4824, 411, 25935, 1051, 685, 20817, 282, 1500, 2083, 16, 785, 16576, 271, 5472, 411, 4835, 10084, 18, 3791, 2438, 3665, 16, 374, 21340, 13073, 2160, 15948, 15344, 14999, 2001, 640, 20912, 6343, 46934, 318, 16, 2024, 4419, 641, 30302, 349, 10364, 554, 20448, 18, 478, 677, 4542, 1684, 2449, 334, 1281, 4459, 395, 9884, 47525, 30056, 24483, 5472, 289, 42211, 294, 3130, 16, 17664, 41566, 23309, 289, 45878, 5902, 20448, 16, 510, 13120, 282, 3781, 17, 40048, 16, 48638, 2555, 3802, 18, 43733, 9165, 783, 18747, 7801, 10685, 281, 6744, 4869, 8231, 289, 8308, 45174, 18, 4756, 2438, 3665, 16, 374, 10299, 22056, 18137, 29771, 770, 7032, 7766, 1568, 11452, 312, 7733, 43691, 20448, 282, 3507, 18, 24195, 34399, 14232, 548, 282, 11147, 281, 19526, 34638, 432, 7569, 432, 15297, 289, 30056, 5946, 6617, 18, 365, 27246, 6442, 16, 374, 9251, 19906, 2103, 925, 18575, 8561, 394, 282, 8144, 510, 2019, 873, 411, 37536, 11736, 18, 49563, 15581, 20448, 497, 356, 440, 17305, 349, 2948, 17788, 48066, 411, 17, 431, 8535, 16, 367, 1038, 40759, 3416, 11753, 6367, 43691, 18, 478, 1659, 637, 1134, 3463, 2714, 5979, 2961, 12171, 7272, 50225, 553, 16, 30494, 309, 17998, 485, 11998, 536, 36587, 18, 365, 4542, 34396, 1684, 2449, 9884, 47525, 5127, 10328, 30056, 24483, 5472, 16, 23076, 3674, 25608, 281, 26141, 353, 290, 13148, 44252, 21595, 16, 20117, 16058, 34638, 432, 7569, 432, 15297, 16, 367, 1038, 26346, 3674, 910, 510, 40530, 282, 27246, 18, 365, 4599, 39092, 639, 18966, 11969, 1743, 18, 365, 5324, 1038, 49101, 5626, 281, 2223, 37728, 7032, 20448, 18, 365, 3998, 5703, 343, 16, 1029, 28470, 2619, 1949, 1879, 16, 46589, 2852, 39092, 282, 2700, 283, 7478, 16, 18132, 20103, 309, 4841, 18, 2112, 978, 1857, 2444, 17364, 17664, 1356, 16, 1176, 411, 1129, 1968, 1211, 24778, 289, 741, 3519, 12632, 20448, 309, 10255, 18, 3791, 309, 8623, 4750, 15453, 2449, 5460, 5472, 281, 3469, 46068, 16, 49490, 4135, 289, 40891, 27334, 16, 5923, 727, 4742, 18, 25344, 7742, 22056, 11179, 18479, 290, 10908, 4840, 3416, 44252, 417, 48400, 282, 1175, 18, 996, 16, 5854, 1236, 4045, 36731, 2160, 5500, 16879, 4137, 35957, 4848, 16338, 16, 374, 281, 2742, 20420, 779, 36667, 22832, 4030, 2364, 1939, 478, 436, 4687, 417, 48400, 470, 10830, 18981, 16, 961, 18264, 13656, 309, 34947, 33794, 18, 365, 2452, 22398, 366, 22907, 1033, 13435, 1135, 16, 6177, 5906, 411, 1129, 898, 36939, 5578, 16, 4725, 492, 18, 824, 3163, 15020, 19869, 16, 497, 5261, 43691, 18981, 282, 5344, 33310, 23659, 16, 834, 392, 6519, 294, 1190, 309, 20017, 411, 2044, 16, 988, 745, 16831, 3455, 282, 9275, 17343, 18, 11824, 478, 272, 4550, 29314, 15581, 1747, 14629, 2994, 511, 8144, 289, 1888, 43870, 19110, 65, 282, 2553, 16879, 670, 22470, 225, 910, 5273, 12189, 18, 967, 803, 492, 4725, 16, 374, 9099, 15948, 10924, 1033, 828, 282, 5259, 7338, 2422, 16, 6895, 6551, 289, 2393, 4000, 16879, 18, 2706, 3802, 4770, 1175, 4137, 6732, 309, 9155, 281, 1141, 4220, 4741, 7923, 289, 10970, 2661, 3828, 16, 374, 349, 10384, 4776, 978, 779, 8811, 18747, 10908, 3467, 1760, 39269, 18, 999, 5690, 411, 1967, 12517, 9523, 4176, 1453, 1354, 1512, 16, 9299, 9805, 5222, 289, 18519, 18747, 478, 265, 2915, 8714, 4116, 575, 10565, 289, 15571, 282, 49772, 39797, 281, 7824, 3276, 41375, 4118, 11285, 304, 473, 10768, 684, 13, 225, 861, 4185, 19760, 5040, 44252, 5263, 2003, 16, 753, 36667, 31102, 20310, 2204, 15350, 4371, 289, 38216, 8714, 2820, 289, 1641, 32332, 7667, 16, 4725, 6732, 18, 824, 505, 4734, 16, 870, 575, 17225, 4492, 42318, 282, 8384, 281, 17664, 26763, 16, 37612, 16, 367, 1038, 282, 13441, 7233, 8535, 289, 17998, 1290, 9919, 536, 21746, 395, 18, 999, 1119, 519, 978, 14995, 6897, 3623, 2407, 6363, 7907, 344, 3573, 2815, 16, 374, 282, 27957, 1212, 35557, 15161, 1314, 13981, 17359, 45845, 10830, 44252, 41684, 18, 999, 28822, 10384, 4776, 282, 9804, 639, 18966, 17185, 36156, 1552, 290, 41939, 26755, 43598, 16, 4725, 492, 18, 7249, 309, 502, 16, 374, 14232, 548, 282, 16766, 17700, 27012, 462, 16, 17359, 15581, 282, 9804, 48593, 334, 7413, 281, 6383, 17, 353, 15524, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5254, 4921, 5042, 530, 2764, 281, 49320, 25735, 7219, 18, 365, 11872, 10933, 10902, 520, 17091, 4843, 21, 16, 25, 5096, 18, 3747, 5024, 334, 360, 3041, 272, 322, 12733, 467, 49098, 16, 515, 14697, 7968, 1886, 16, 374, 26062, 4461, 2328, 2458, 40909, 2764, 281, 49320, 25735, 7219, 289, 36121, 530, 3956, 7216, 360, 3041, 18, 31224, 30, 24785, 8340, 8219, 4921, 282, 11872, 26986, 281, 49320, 25735, 7219, 1209, 5781, 6802, 7512, 16, 39232, 668, 4843, 21, 16, 25, 5096, 18, 640, 48604, 45059, 3560, 3084, 360, 3041, 510, 4843, 21, 16, 22, 5096 ]
[ 16, 3110, 38341, 477, 7755, 309, 5024, 24777, 1175, 289, 15832, 680, 2241, 24907, 1075, 43, 18, 365, 3198, 4982, 21426, 309, 25735, 1004, 292, 11113, 1081, 7179, 8709, 2553, 8211, 519, 3437, 11884, 37158, 18, 385, 2742, 779, 4982, 4076, 4186, 309, 49320, 25735, 1004, 292, 282, 22489, 40542, 5009, 3287, 309, 1533, 9, 510, 1143, 16, 828, 282, 11099, 334, 2068, 6520, 18, 365, 22489, 40542, 478, 46088, 18, 8381, 470, 1329, 49991, 2514, 282, 4884, 360, 3041, 263, 322, 15083, 289, 4437, 10531, 16, 374, 7065, 478, 488, 2535, 3728, 33325, 2200, 38896, 3032, 289, 15349, 24278, 440, 4646, 15920, 18465, 24943, 291, 861, 967, 803, 360, 3041, 670, 23284, 4076, 282, 9802, 4843, 21, 5096, 371, 9802, 8204, 416, 2095, 34279, 1033, 828, 282, 4843, 12555, 5096, 478, 392, 3205, 13880, 428, 6441, 7296, 6036, 23121, 34279, 8709, 861, 985, 9848, 478, 46088, 18, 8381, 470, 9543, 5000, 296, 4083, 1624, 18165, 6187, 24907, 29756, 13949, 16, 481, 478, 22796, 4523, 360, 3041, 16, 1830, 2826, 322, 11441, 7376, 541, 8709, 861, 824, 505, 3163, 16, 360, 3041, 49320, 44465, 1820, 286, 478, 265, 334, 4310, 49098, 861, 2046, 30434, 448, 478, 7128, 305, 323, 18, 8381, 470, 10902, 322, 2458, 34991, 360, 3041, 49320, 25735, 7219, 18, 985, 13985, 6406, 5548, 5037, 19080, 9060, 45685, 640, 818, 2679, 4086, 1624, 4982, 1209, 49320, 44465, 282, 34088, 4896, 2364, 4843, 17133, 5096, 18, 1268, 3041, 21426, 411, 7583, 29480, 2926, 3424, 17744, 6593, 16, 38950, 282, 11526, 1555, 282, 23557, 4642, 8860, 1832, 686, 13226, 19602, 18, 999, 42760, 7341, 6676, 21722, 36129, 477, 25736, 4843, 24, 16, 29, 5096, 16, 481, 309, 5259, 9, 1143, 16, 828, 282, 13186, 47568, 23, 5096, 814, 967, 803, 12860, 2764, 12357, 309, 12974, 1979, 17964, 16178, 16, 449, 40868, 3271, 2024, 744, 17, 8422, 299, 44615, 411, 17, 431, 41025, 6379, 7080, 281, 39667, 18, 7699, 21722, 3005, 40909, 3674, 411, 6802, 2407, 16, 6448, 3222, 697, 282, 3443, 5090, 670, 282, 42513, 37208, 553, 16, 478, 324, 2913, 4912, 20961, 1279, 1129, 48382, 13951, 910, 282, 970, 2875, 34516, 309, 4662, 839, 28193, 16, 10050, 8860, 1832, 686, 13226, 19602, 18, 30665, 23967, 34339, 294, 7341, 7715, 289, 22059, 477, 25736, 4843, 21, 16, 21, 5096, 16, 25865, 2086, 1832, 686, 13226, 19602, 18, 3739, 4843, 30957, 3763, 26986, 281, 25735, 7219, 28872, 10902, 18, 4530, 867, 428, 2815, 5548, 5037, 28737, 12097, 2839, 20897, 290, 25754, 12623, 8855, 49320, 44465, 282, 1671, 49633, 282, 1750, 20961, 34516, 477, 1963, 2145, 8197, 17234, 49098, 28193, 282, 3607, 2244, 18, 385, 2430, 5862, 3672, 282, 4599, 7234, 1175, 477, 1963, 2145, 895, 953, 30149, 928, 1335, 13798, 30, 492, 895, 23350, 1558, 8594, 14137, 6138, 16, 34034, 1087, 6838, 382, 289, 1087, 19317, 297, 18, 893, 1231, 3525, 19042, 414, 1694, 10902, 287, 290, 25754, 12623, 8855, 1671, 34273, 44465, 282, 4662, 839, 18, 478, 677, 4190, 23001, 4100, 1386, 617, 6338, 4523, 15805, 478, 275, 33723, 1750, 834, 13932, 10597, 353, 910, 895, 2669, 9486, 506, 428, 529, 1246, 742, 25046, 4699, 12623, 8855, 16, 20343, 334, 4821, 1147, 30593, 289, 282, 6031, 4226, 7625, 2166, 424, 2113, 6519, 16125, 3621, 49716, 910, 376, 2548, 4944, 2220, 5101, 1624, 9128, 11050, 12456, 586, 1972, 24777, 18, 5043, 16, 428, 9848, 10353, 5037, 37159, 19457, 6211, 399, 1624, 1694, 6677, 28737, 12097, 2839, 20897, 290, 4662, 770, 21679, 5706, 898, 37124, 31286, 3340, 318, 18, 478, 5801, 5327, 1280, 12097, 11005, 2169, 4254, 2839, 20897, 16, 784, 3073, 16, 387, 37124, 31286, 45397, 502, 16, 374, 492, 1109, 18, 16923, 1139, 25583, 343, 749, 1759, 2160, 35635, 309, 502, 16, 374, 2710, 17, 299, 21679, 700, 411, 2059, 21426, 18484, 282, 6555, 18, 26514, 13500, 322, 5092, 16, 745, 322, 37326, 18, 2667, 924, 16, 1055, 1177, 5258, 322, 7479, 282, 8347, 13636, 16, 7012, 935, 282, 2398, 2174, 322, 29987, 910, 510, 1109, 6211, 399, 18, 824, 3163, 6211, 2503, 16, 282, 2567, 41257, 1003, 5941, 16, 289, 745, 322, 4502, 2919, 289, 322, 37326, 478, 307, 282, 4700, 935, 3322, 40889, 33057, 292, 861, 985, 41988, 4944, 2220, 5101, 16, 30667, 360, 3041, 4662, 770, 25735, 7219, 2826, 322, 478, 8883, 429, 7376, 861, 18233, 502, 16, 374, 481, 15042, 478, 8966, 2749, 10328, 470, 289, 371, 41079, 6341, 5355, 13223, 8084, 16, 374, 360, 3041, 840, 30440, 18, 17878, 334, 1190, 15811, 334, 360, 3041, 272, 322, 3929, 12733, 4857, 537, 541, 29480, 2926, 16, 537, 541, 37159, 16, 367, 14057, 33335, 12522, 294, 19080, 4452, 43222, 16, 13283, 9137, 10902, 269, 18, 4756, 19080, 25105, 1475, 25956, 16, 374, 309, 8011, 1252, 3653, 526, 617, 309, 19862, 5814, 7990, 10216, 11854, 309, 3443, 4368, 42097, 18, 996, 16, 282, 13186, 978, 779, 10216, 39826, 309, 1939, 9, 289, 12076, 4843, 25, 16, 21, 5096, 16, 25865, 22996, 755, 1492, 2, 1, 87, 1456, 81, 2448, 30, 1140, 614, 381, 35370, 282, 32102, 4039, 4209, 25740, 12765, 31955, 9650, 286, 18, 12284, 5862, 1551, 32102, 13749, 505, 3806, 2499, 5323, 12231, 18, 28462, 13960, 285, 4137, 1312, 671, 1310, 726, 3957, 28201, 4682, 306, 27722, 864, 773, 589, 283, 2272, 18, 365, 835, 22666, 23970, 409, 3003, 403, 563, 27631, 16, 367, 10744, 1312, 671, 31878, 15684, 4771, 14770, 18, 31224, 30, 677, 10666, 12284, 5862, 1551, 32102, 13749, 322, 2499, 5323, 12231, 2766, 289, 18, 290, 18, 4830, 2553, 3129, 525, 27722, 864, 290, 18147, 8191, 4039, 4209, 25740, 12765, 31955, 18, 478, 780, 408, 686, 27722, 864, 8181, 4751, 24923, 18001, 46361, 38419, 18, 889, 8649, 35661, 16, 309, 2114, 656, 1387, 414, 2159, 3003, 910, 510, 1109, 8624, 12284, 5355, 5129, 473, 9827, 13, 37908, 341, 344, 2228, 271, 20912, 18, 2263, 27722, 864, 30533, 309, 11073, 5129, 289, 14522, 1617, 17658, 334, 5524, 17152, 2766, 272, 18, 1787, 14678, 492, 4167, 19756, 286, 18, 11568, 282, 403, 563, 30359, 7190, 2333, 3533, 2376, 32102, 16, 961, 25156, 16, 374, 289, 18, 290, 18, 4830, 2200, 45293, 29386, 2511, 12303, 35189, 16, 282, 970, 2875, 11051, 290, 49135, 781, 289, 36803, 2553, 18, 365, 2766, 263, 27722, 864, 17930, 16, 374, 334, 3025, 4008, 4039, 4209, 2125, 15961, 36458, 448, 7461, 16, 367, 15222, 607, 309, 9759, 26996, 2125, 953 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 3110, 38341, 477, 7755, 309, 5024, 24777, 1175, 289, 15832, 680, 2241, 24907, 1075, 43, 18, 365, 3198, 4982, 21426, 309, 25735, 1004, 292, 11113, 1081, 7179, 8709, 2553, 8211, 519, 3437, 11884, 37158, 18, 385, 2742, 779, 4982, 4076, 4186, 309, 49320, 25735, 1004, 292, 282, 22489, 40542, 5009, 3287, 309, 1533, 9, 510, 1143, 16, 828, 282, 11099, 334, 2068, 6520, 18, 365, 22489, 40542, 478, 46088, 18, 8381, 470, 1329, 49991, 2514, 282, 4884, 360, 3041, 263, 322, 15083, 289, 4437, 10531, 16, 374, 7065, 478, 488, 2535, 3728, 33325, 2200, 38896, 3032, 289, 15349, 24278, 440, 4646, 15920, 18465, 24943, 291, 861, 967, 803, 360, 3041, 670, 23284, 4076, 282, 9802, 4843, 21, 5096, 371, 9802, 8204, 416, 2095, 34279, 1033, 828, 282, 4843, 12555, 5096, 478, 392, 3205, 13880, 428, 6441, 7296, 6036, 23121, 34279, 8709, 861, 985, 9848, 478, 46088, 18, 8381, 470, 9543, 5000, 296, 4083, 1624, 18165, 6187, 24907, 29756, 13949, 16, 481, 478, 22796, 4523, 360, 3041, 16, 1830, 2826, 322, 11441, 7376, 541, 8709, 861, 824, 505, 3163, 16, 360, 3041, 49320, 44465, 1820, 286, 478, 265, 334, 4310, 49098, 861, 2046, 30434, 448, 478, 7128, 305, 323, 18, 8381, 470, 10902, 322, 2458, 34991, 360, 3041, 49320, 25735, 7219, 18, 985, 13985, 6406, 5548, 5037, 19080, 9060, 45685, 640, 818, 2679, 4086, 1624, 4982, 1209, 49320, 44465, 282, 34088, 4896, 2364, 4843, 17133, 5096, 18, 1268, 3041, 21426, 411, 7583, 29480, 2926, 3424, 17744, 6593, 16, 38950, 282, 11526, 1555, 282, 23557, 4642, 8860, 1832, 686, 13226, 19602, 18, 999, 42760, 7341, 6676, 21722, 36129, 477, 25736, 4843, 24, 16, 29, 5096, 16, 481, 309, 5259, 9, 1143, 16, 828, 282, 13186, 47568, 23, 5096, 814, 967, 803, 12860, 2764, 12357, 309, 12974, 1979, 17964, 16178, 16, 449, 40868, 3271, 2024, 744, 17, 8422, 299, 44615, 411, 17, 431, 41025, 6379, 7080, 281, 39667, 18, 7699, 21722, 3005, 40909, 3674, 411, 6802, 2407, 16, 6448, 3222, 697, 282, 3443, 5090, 670, 282, 42513, 37208, 553, 16, 478, 324, 2913, 4912, 20961, 1279, 1129, 48382, 13951, 910, 282, 970, 2875, 34516, 309, 4662, 839, 28193, 16, 10050, 8860, 1832, 686, 13226, 19602, 18, 30665, 23967, 34339, 294, 7341, 7715, 289, 22059, 477, 25736, 4843, 21, 16, 21, 5096, 16, 25865, 2086, 1832, 686, 13226, 19602, 18, 3739, 4843, 30957, 3763, 26986, 281, 25735, 7219, 28872, 10902, 18, 4530, 867, 428, 2815, 5548, 5037, 28737, 12097, 2839, 20897, 290, 25754, 12623, 8855, 49320, 44465, 282, 1671, 49633, 282, 1750, 20961, 34516, 477, 1963, 2145, 8197, 17234, 49098, 28193, 282, 3607, 2244, 18, 385, 2430, 5862, 3672, 282, 4599, 7234, 1175, 477, 1963, 2145, 895, 953, 30149, 928, 1335, 13798, 30, 492, 895, 23350, 1558, 8594, 14137, 6138, 16, 34034, 1087, 6838, 382, 289, 1087, 19317, 297, 18, 893, 1231, 3525, 19042, 414, 1694, 10902, 287, 290, 25754, 12623, 8855, 1671, 34273, 44465, 282, 4662, 839, 18, 478, 677, 4190, 23001, 4100, 1386, 617, 6338, 4523, 15805, 478, 275, 33723, 1750, 834, 13932, 10597, 353, 910, 895, 2669, 9486, 506, 428, 529, 1246, 742, 25046, 4699, 12623, 8855, 16, 20343, 334, 4821, 1147, 30593, 289, 282, 6031, 4226, 7625, 2166, 424, 2113, 6519, 16125, 3621, 49716, 910, 376, 2548, 4944, 2220, 5101, 1624, 9128, 11050, 12456, 586, 1972, 24777, 18, 5043, 16, 428, 9848, 10353, 5037, 37159, 19457, 6211, 399, 1624, 1694, 6677, 28737, 12097, 2839, 20897, 290, 4662, 770, 21679, 5706, 898, 37124, 31286, 3340, 318, 18, 478, 5801, 5327, 1280, 12097, 11005, 2169, 4254, 2839, 20897, 16, 784, 3073, 16, 387, 37124, 31286, 45397, 502, 16, 374, 492, 1109, 18, 16923, 1139, 25583, 343, 749, 1759, 2160, 35635, 309, 502, 16, 374, 2710, 17, 299, 21679, 700, 411, 2059, 21426, 18484, 282, 6555, 18, 26514, 13500, 322, 5092, 16, 745, 322, 37326, 18, 2667, 924, 16, 1055, 1177, 5258, 322, 7479, 282, 8347, 13636, 16, 7012, 935, 282, 2398, 2174, 322, 29987, 910, 510, 1109, 6211, 399, 18, 824, 3163, 6211, 2503, 16, 282, 2567, 41257, 1003, 5941, 16, 289, 745, 322, 4502, 2919, 289, 322, 37326, 478, 307, 282, 4700, 935, 3322, 40889, 33057, 292, 861, 985, 41988, 4944, 2220, 5101, 16, 30667, 360, 3041, 4662, 770, 25735, 7219, 2826, 322, 478, 8883, 429, 7376, 861, 18233, 502, 16, 374, 481, 15042, 478, 8966, 2749, 10328, 470, 289, 371, 41079, 6341, 5355, 13223, 8084, 16, 374, 360, 3041, 840, 30440, 18, 17878, 334, 1190, 15811, 334, 360, 3041, 272, 322, 3929, 12733, 4857, 537, 541, 29480, 2926, 16, 537, 541, 37159, 16, 367, 14057, 33335, 12522, 294, 19080, 4452, 43222, 16, 13283, 9137, 10902, 269, 18, 4756, 19080, 25105, 1475, 25956, 16, 374, 309, 8011, 1252, 3653, 526, 617, 309, 19862, 5814, 7990, 10216, 11854, 309, 3443, 4368, 42097, 18, 996, 16, 282, 13186, 978, 779, 10216, 39826, 309, 1939, 9, 289, 12076, 4843, 25, 16, 21, 5096, 16, 25865, 22996, 755, 1492, 2, 1, 87, 1456, 81, 2448, 30, 1140, 614, 381, 35370, 282, 32102, 4039, 4209, 25740, 12765, 31955, 9650, 286, 18, 12284, 5862, 1551, 32102, 13749, 505, 3806, 2499, 5323, 12231, 18, 28462, 13960, 285, 4137, 1312, 671, 1310, 726, 3957, 28201, 4682, 306, 27722, 864, 773, 589, 283, 2272, 18, 365, 835, 22666, 23970, 409, 3003, 403, 563, 27631, 16, 367, 10744, 1312, 671, 31878, 15684, 4771, 14770, 18, 31224, 30, 677, 10666, 12284, 5862, 1551, 32102, 13749, 322, 2499, 5323, 12231, 2766, 289, 18, 290, 18, 4830, 2553, 3129, 525, 27722, 864, 290, 18147, 8191, 4039, 4209, 25740, 12765, 31955, 18, 478, 780, 408, 686, 27722, 864, 8181, 4751, 24923, 18001, 46361, 38419, 18, 889, 8649, 35661, 16, 309, 2114, 656, 1387, 414, 2159, 3003, 910, 510, 1109, 8624, 12284, 5355, 5129, 473, 9827, 13, 37908, 341, 344, 2228, 271, 20912, 18, 2263, 27722, 864, 30533, 309, 11073, 5129, 289, 14522, 1617, 17658, 334, 5524, 17152, 2766, 272, 18, 1787, 14678, 492, 4167, 19756, 286, 18, 11568, 282, 403, 563, 30359, 7190, 2333, 3533, 2376, 32102, 16, 961, 25156, 16, 374, 289, 18, 290, 18, 4830, 2200, 45293, 29386, 2511, 12303, 35189, 16, 282, 970, 2875, 11051, 290, 49135, 781, 289, 36803, 2553, 18, 365, 2766, 263, 27722, 864, 17930, 16, 374, 334, 3025, 4008, 4039, 4209, 2125, 15961, 36458, 448, 7461, 16, 367, 15222, 607, 309, 9759, 26996, 2125, 953 ]
[ 35554, 1288, 1007, 18, 2949, 924, 16, 309, 15615, 6394, 3874, 10759, 342, 1943, 953, 12642, 16911, 4192, 15169, 12765, 31955, 18, 365, 2766, 263, 15034, 862, 289, 21600, 294, 1175, 32010, 16794, 1617, 5445, 411, 32102, 18, 16318, 27722, 864, 30463, 303, 428, 835, 5171, 23970, 267, 478, 3693, 4789, 2127, 22068, 1066, 470, 282, 4810, 16, 453, 289, 2651, 24715, 25012, 282, 5329, 18, 2949, 29554, 1624, 7174, 973, 1263, 16, 2766, 322, 17497, 289, 5222, 272, 8129, 3533, 2376, 16, 11350, 17, 1310, 488, 347, 552, 282, 32712, 32102, 4084, 5123, 586, 673, 272, 18, 817, 6455, 27722, 864, 26581, 2766, 16, 515, 1500, 5678, 309, 8757, 18, 21575, 2553, 18921, 29830, 266, 685, 1033, 6116, 3653, 928, 16, 515, 2815, 16, 374, 478, 273, 10901, 954, 43242, 1513, 6273, 282, 2107, 17578, 861, 365, 10666, 586, 673, 272, 282, 7337, 478, 46088, 18, 8381, 470, 47277, 12284, 5862, 1551, 349, 20638, 289, 10954, 468, 32040, 4075, 18, 26942, 34493, 9862, 10080, 1833, 1011, 10195, 978, 4478, 9321, 16, 374, 492, 29657, 13460, 34242, 35189, 18, 21970, 2868, 5806, 289, 15688, 12398, 282, 17150, 298, 510, 481, 9072, 1041, 4489, 11919, 2553, 16, 367, 322, 6677, 4000, 910, 510, 1109, 586, 673, 272, 18, 625, 1080, 5349, 34656, 7733, 10035, 14016, 16, 5911, 14029, 1279, 30483, 17, 5495, 3833, 718, 40471, 16, 8566, 2766, 11896, 1175, 18, 439, 1215, 42733, 7884, 32102, 26851, 16, 374, 1542, 17978, 1623, 7760, 12765, 31955, 18, 385, 10492, 1579, 309, 16463, 448, 6549, 16, 6214, 3047, 15833, 16, 374, 11711, 9716, 6389, 280, 642, 906, 19646, 8087, 48138, 16515, 16, 367, 2862, 16, 2766, 27722, 864, 11450, 21840, 21678, 18, 23480, 2414, 7550, 7603, 321, 363, 282, 7337, 9577, 1918, 969, 4299, 36505, 17915, 8566, 3003, 403, 563, 478, 1663, 536, 910, 453, 428, 2766, 16, 334, 505, 4734, 16, 322, 27809, 537, 2059, 5628, 35189, 18, 967, 803, 45890, 4725, 16, 374, 478, 992, 563, 17973, 13187, 10718, 3361, 281, 9609, 16, 367, 2874, 2891, 322, 9936, 411, 3788, 2766, 276, 861, 37540, 4623, 478, 29971, 6389, 23372, 470, 4137, 1312, 671, 1310, 2815, 16, 374, 32362, 4478, 27722, 864, 11771, 18, 478, 4348, 21038, 25760, 1519, 4126, 773, 589, 283, 1778, 27722, 864, 18, 1178, 813, 13663, 266, 16, 502, 481, 895, 953, 726, 309, 1335, 11056, 910, 510, 2815, 1312, 671, 1310, 478, 46088, 18, 8381, 861, 478, 1140, 614, 14459, 3576, 30463, 3960, 5054, 32102, 289, 3515, 10964, 305, 24923, 6730, 18, 817, 7730, 13312, 5912, 1147, 22485, 334, 38846, 957, 289, 11868, 334, 40126, 1251, 24715, 420, 355, 289, 9609, 18, 365, 5329, 27722, 864, 9327, 2184, 45293, 424, 25110, 1568, 622, 10785, 44934, 718, 4000, 910, 510, 1109, 1312, 671, 1310, 18, 5043, 16, 33371, 1312, 671, 31878, 322, 10675, 39508, 329, 835, 6090, 41724, 18, 586, 673, 272, 2815, 16, 374, 329, 773, 589, 283, 1778, 1003, 20163, 18, 478, 563, 465, 2722, 4830, 6296, 12230, 2628, 687, 371, 9423, 21613, 12607, 16, 311, 18, 352, 18, 1949, 959, 4325, 1209, 11630, 18, 459, 935, 827, 4693, 1421, 30430, 354, 9001, 1312, 671, 31878, 16, 475, 3871, 27976, 4623, 29554, 289, 23621, 3493, 3871, 27976, 7340, 5855, 4623, 16, 502, 9040, 21786, 3871, 3685, 18, 889, 5773, 16148, 539, 3400, 12607, 541, 924, 16, 753, 21619, 33371, 30112, 28697, 17086, 8059, 18, 1860, 1963, 1312, 671, 31878, 481, 47886, 6779, 16468, 10035, 4466, 16, 753, 309, 8807, 1190, 13437, 16, 9259, 281, 2887, 2742, 16, 374, 935, 371, 12278, 6566, 41325, 5910, 322, 19364, 1463, 38643, 3400, 12607, 910, 510, 17684, 12961, 1312, 671, 31878, 586, 673, 272, 18, 2, 1, 87, 1456, 81, 2448, 30, 25855, 5175, 16, 374, 7990, 1510, 9805, 1087, 19317, 297, 510, 8698, 6906, 4103, 5781, 6271, 2200, 575, 9919, 536, 6744, 6710, 18, 1178, 453, 16, 502, 16987, 19938, 282, 4722, 1205, 2695, 968, 25442, 411, 2553, 16, 367, 3960, 1710, 42423, 2582, 1617, 12272, 26653, 15442, 353, 18, 31224, 30, 26668, 12101, 4103, 2553, 7990, 349, 4722, 1205, 1715, 309, 14596, 18, 740, 282, 6588, 360, 4096, 16838, 3136, 34273, 5521, 1177, 16, 3903, 373, 16, 22299, 2110, 23284, 4135, 2697, 322, 371, 2077, 4008, 12402, 42973, 18, 30164, 16, 6591, 17850, 1175, 16, 935, 334, 21858, 35847, 16, 349, 907, 20981, 3734, 779, 24668, 706, 44261, 1526, 18, 9617, 575, 302, 9446, 4843, 2783, 27, 5096, 16, 20881, 349, 1205, 2759, 19297, 289, 722, 27383, 360, 30625, 35, 3654, 745, 27935, 414, 33622, 1412, 12317, 35, 3771, 349, 4722, 1205, 4893, 2957, 5481, 1617, 20858, 999, 4722, 1205, 473, 21, 4238, 3734, 779, 294, 430, 4238, 4018, 779, 16, 5024, 1312, 14796, 13, 15987, 4103, 2553, 14771, 315, 7990, 510, 309, 3405, 16, 28, 9, 519, 4843, 12743, 24, 16, 24, 5096, 18, 967, 5050, 12076, 4843, 2783, 26, 16, 29, 5096, 18, 1303, 2068, 1250, 13122, 30325, 18, 640, 6781, 5136, 382, 18, 28865, 4309, 1559, 12501, 21803, 18, 3557, 293, 505, 6146, 3536, 685, 38488, 1635, 16, 515, 12512, 4179, 538, 382, 473, 40510, 374, 4179, 33156, 4162, 17964, 1087, 19317, 486, 814, 19591, 17964, 16178, 5439, 12076, 4843, 2479, 5096, 16, 289, 481, 14612, 473, 47190, 6374, 18314, 898, 26945, 30625, 282, 1671, 49633, 28356, 553, 1087, 19916, 429, 473, 630, 22226, 814, 1012, 886, 539, 1743, 30, 1379, 41945, 30586, 334, 2200, 415, 22226, 1488, 443, 28, 16, 25, 9, 36397, 16, 367, 25511, 24553, 10664, 536, 18, 9639, 4388, 617, 726, 1003, 935, 282, 20383, 1378, 15067, 5706, 1791, 432, 13269, 2044, 18, 2681, 38835, 5695, 334, 2200, 28356, 7715, 2734, 1143, 1658, 9, 36397, 18, 7720, 673, 382, 4244, 2855, 1671, 34273, 415, 22226, 20299, 349, 1205, 282, 491, 16, 25, 4570, 18, 8049, 383, 1526, 329, 813, 7441, 5, 26828, 4893, 16, 1223, 349, 13591, 16, 31474, 7065, 18462, 6146, 918, 282, 37828, 281, 25788, 519, 4843, 27, 5096, 282, 2100, 24420, 29812, 11920, 473, 7944, 26324, 25447, 19510, 281, 8842, 1518, 697, 42247, 49379, 814, 16476, 16, 2733, 2175, 492, 360, 6291, 937, 2301, 21426, 281, 7043, 16, 322, 16947, 1671, 623, 36887, 3083, 21610, 506, 18, 740, 475, 575, 28747, 13362, 17313, 6146, 3536, 510, 4843, 47678, 5096, 510, 18462, 9805, 32344, 21803, 16, 7083, 1779, 1617, 6146, 918, 329, 30625, 309, 3695, 5999, 832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35554, 1288, 1007, 18, 2949, 924, 16, 309, 15615, 6394, 3874, 10759, 342, 1943, 953, 12642, 16911, 4192, 15169, 12765, 31955, 18, 365, 2766, 263, 15034, 862, 289, 21600, 294, 1175, 32010, 16794, 1617, 5445, 411, 32102, 18, 16318, 27722, 864, 30463, 303, 428, 835, 5171, 23970, 267, 478, 3693, 4789, 2127, 22068, 1066, 470, 282, 4810, 16, 453, 289, 2651, 24715, 25012, 282, 5329, 18, 2949, 29554, 1624, 7174, 973, 1263, 16, 2766, 322, 17497, 289, 5222, 272, 8129, 3533, 2376, 16, 11350, 17, 1310, 488, 347, 552, 282, 32712, 32102, 4084, 5123, 586, 673, 272, 18, 817, 6455, 27722, 864, 26581, 2766, 16, 515, 1500, 5678, 309, 8757, 18, 21575, 2553, 18921, 29830, 266, 685, 1033, 6116, 3653, 928, 16, 515, 2815, 16, 374, 478, 273, 10901, 954, 43242, 1513, 6273, 282, 2107, 17578, 861, 365, 10666, 586, 673, 272, 282, 7337, 478, 46088, 18, 8381, 470, 47277, 12284, 5862, 1551, 349, 20638, 289, 10954, 468, 32040, 4075, 18, 26942, 34493, 9862, 10080, 1833, 1011, 10195, 978, 4478, 9321, 16, 374, 492, 29657, 13460, 34242, 35189, 18, 21970, 2868, 5806, 289, 15688, 12398, 282, 17150, 298, 510, 481, 9072, 1041, 4489, 11919, 2553, 16, 367, 322, 6677, 4000, 910, 510, 1109, 586, 673, 272, 18, 625, 1080, 5349, 34656, 7733, 10035, 14016, 16, 5911, 14029, 1279, 30483, 17, 5495, 3833, 718, 40471, 16, 8566, 2766, 11896, 1175, 18, 439, 1215, 42733, 7884, 32102, 26851, 16, 374, 1542, 17978, 1623, 7760, 12765, 31955, 18, 385, 10492, 1579, 309, 16463, 448, 6549, 16, 6214, 3047, 15833, 16, 374, 11711, 9716, 6389, 280, 642, 906, 19646, 8087, 48138, 16515, 16, 367, 2862, 16, 2766, 27722, 864, 11450, 21840, 21678, 18, 23480, 2414, 7550, 7603, 321, 363, 282, 7337, 9577, 1918, 969, 4299, 36505, 17915, 8566, 3003, 403, 563, 478, 1663, 536, 910, 453, 428, 2766, 16, 334, 505, 4734, 16, 322, 27809, 537, 2059, 5628, 35189, 18, 967, 803, 45890, 4725, 16, 374, 478, 992, 563, 17973, 13187, 10718, 3361, 281, 9609, 16, 367, 2874, 2891, 322, 9936, 411, 3788, 2766, 276, 861, 37540, 4623, 478, 29971, 6389, 23372, 470, 4137, 1312, 671, 1310, 2815, 16, 374, 32362, 4478, 27722, 864, 11771, 18, 478, 4348, 21038, 25760, 1519, 4126, 773, 589, 283, 1778, 27722, 864, 18, 1178, 813, 13663, 266, 16, 502, 481, 895, 953, 726, 309, 1335, 11056, 910, 510, 2815, 1312, 671, 1310, 478, 46088, 18, 8381, 861, 478, 1140, 614, 14459, 3576, 30463, 3960, 5054, 32102, 289, 3515, 10964, 305, 24923, 6730, 18, 817, 7730, 13312, 5912, 1147, 22485, 334, 38846, 957, 289, 11868, 334, 40126, 1251, 24715, 420, 355, 289, 9609, 18, 365, 5329, 27722, 864, 9327, 2184, 45293, 424, 25110, 1568, 622, 10785, 44934, 718, 4000, 910, 510, 1109, 1312, 671, 1310, 18, 5043, 16, 33371, 1312, 671, 31878, 322, 10675, 39508, 329, 835, 6090, 41724, 18, 586, 673, 272, 2815, 16, 374, 329, 773, 589, 283, 1778, 1003, 20163, 18, 478, 563, 465, 2722, 4830, 6296, 12230, 2628, 687, 371, 9423, 21613, 12607, 16, 311, 18, 352, 18, 1949, 959, 4325, 1209, 11630, 18, 459, 935, 827, 4693, 1421, 30430, 354, 9001, 1312, 671, 31878, 16, 475, 3871, 27976, 4623, 29554, 289, 23621, 3493, 3871, 27976, 7340, 5855, 4623, 16, 502, 9040, 21786, 3871, 3685, 18, 889, 5773, 16148, 539, 3400, 12607, 541, 924, 16, 753, 21619, 33371, 30112, 28697, 17086, 8059, 18, 1860, 1963, 1312, 671, 31878, 481, 47886, 6779, 16468, 10035, 4466, 16, 753, 309, 8807, 1190, 13437, 16, 9259, 281, 2887, 2742, 16, 374, 935, 371, 12278, 6566, 41325, 5910, 322, 19364, 1463, 38643, 3400, 12607, 910, 510, 17684, 12961, 1312, 671, 31878, 586, 673, 272, 18, 2, 1, 87, 1456, 81, 2448, 30, 25855, 5175, 16, 374, 7990, 1510, 9805, 1087, 19317, 297, 510, 8698, 6906, 4103, 5781, 6271, 2200, 575, 9919, 536, 6744, 6710, 18, 1178, 453, 16, 502, 16987, 19938, 282, 4722, 1205, 2695, 968, 25442, 411, 2553, 16, 367, 3960, 1710, 42423, 2582, 1617, 12272, 26653, 15442, 353, 18, 31224, 30, 26668, 12101, 4103, 2553, 7990, 349, 4722, 1205, 1715, 309, 14596, 18, 740, 282, 6588, 360, 4096, 16838, 3136, 34273, 5521, 1177, 16, 3903, 373, 16, 22299, 2110, 23284, 4135, 2697, 322, 371, 2077, 4008, 12402, 42973, 18, 30164, 16, 6591, 17850, 1175, 16, 935, 334, 21858, 35847, 16, 349, 907, 20981, 3734, 779, 24668, 706, 44261, 1526, 18, 9617, 575, 302, 9446, 4843, 2783, 27, 5096, 16, 20881, 349, 1205, 2759, 19297, 289, 722, 27383, 360, 30625, 35, 3654, 745, 27935, 414, 33622, 1412, 12317, 35, 3771, 349, 4722, 1205, 4893, 2957, 5481, 1617, 20858, 999, 4722, 1205, 473, 21, 4238, 3734, 779, 294, 430, 4238, 4018, 779, 16, 5024, 1312, 14796, 13, 15987, 4103, 2553, 14771, 315, 7990, 510, 309, 3405, 16, 28, 9, 519, 4843, 12743, 24, 16, 24, 5096, 18, 967, 5050, 12076, 4843, 2783, 26, 16, 29, 5096, 18, 1303, 2068, 1250, 13122, 30325, 18, 640, 6781, 5136, 382, 18, 28865, 4309, 1559, 12501, 21803, 18, 3557, 293, 505, 6146, 3536, 685, 38488, 1635, 16, 515, 12512, 4179, 538, 382, 473, 40510, 374, 4179, 33156, 4162, 17964, 1087, 19317, 486, 814, 19591, 17964, 16178, 5439, 12076, 4843, 2479, 5096, 16, 289, 481, 14612, 473, 47190, 6374, 18314, 898, 26945, 30625, 282, 1671, 49633, 28356, 553, 1087, 19916, 429, 473, 630, 22226, 814, 1012, 886, 539, 1743, 30, 1379, 41945, 30586, 334, 2200, 415, 22226, 1488, 443, 28, 16, 25, 9, 36397, 16, 367, 25511, 24553, 10664, 536, 18, 9639, 4388, 617, 726, 1003, 935, 282, 20383, 1378, 15067, 5706, 1791, 432, 13269, 2044, 18, 2681, 38835, 5695, 334, 2200, 28356, 7715, 2734, 1143, 1658, 9, 36397, 18, 7720, 673, 382, 4244, 2855, 1671, 34273, 415, 22226, 20299, 349, 1205, 282, 491, 16, 25, 4570, 18, 8049, 383, 1526, 329, 813, 7441, 5, 26828, 4893, 16, 1223, 349, 13591, 16, 31474, 7065, 18462, 6146, 918, 282, 37828, 281, 25788, 519, 4843, 27, 5096, 282, 2100, 24420, 29812, 11920, 473, 7944, 26324, 25447, 19510, 281, 8842, 1518, 697, 42247, 49379, 814, 16476, 16, 2733, 2175, 492, 360, 6291, 937, 2301, 21426, 281, 7043, 16, 322, 16947, 1671, 623, 36887, 3083, 21610, 506, 18, 740, 475, 575, 28747, 13362, 17313, 6146, 3536, 510, 4843, 47678, 5096, 510, 18462, 9805, 32344, 21803, 16, 7083, 1779, 1617, 6146, 918, 329, 30625, 309, 3695, 5999, 832 ]
[ 2353, 12340, 44458, 16, 785, 656, 18997, 478, 2247, 451, 21803, 861, 3923, 16, 492, 16292, 282, 22755, 2545, 2095, 1230, 1212, 5581, 353, 289, 1087, 6838, 1082, 18, 365, 6031, 1967, 21132, 366, 4766, 9360, 19540, 38896, 1013, 19034, 4652, 453, 18, 7188, 551, 1545, 15987, 4103, 2553, 475, 764, 3440, 16, 828, 9024, 4490, 7143, 448, 35994, 282, 1949, 4328, 5706, 16, 2733, 2175, 16, 3771, 13309, 3348, 411, 2402, 40487, 8640, 25257, 16755, 1347, 40824, 2422, 18, 967, 803, 678, 27735, 30586, 4244, 4287, 334, 2200, 19222, 395, 473, 6433, 1450, 322, 939, 17, 299, 289, 6453, 13, 289, 282, 8023, 3440, 10047, 16, 11224, 274, 28356, 553, 1888, 2044, 473, 24333, 35067, 2430, 6153, 2712, 282, 1129, 1617, 8204, 448, 35994, 814, 16551, 5202, 335, 315, 13155, 26687, 47618, 11268, 18, 40977, 26175, 15397, 2553, 3757, 322, 6245, 7791, 4914, 1475, 467, 448, 35994, 35067, 8112, 18, 996, 639, 764, 282, 3998, 6705, 779, 18, 740, 726, 334, 12821, 907, 22652, 4018, 779, 4103, 26175, 15397, 42931, 1114, 35994, 24777, 1175, 18, 4338, 16, 6396, 1205, 16, 481, 6245, 1979, 38245, 2123, 5999, 459, 16, 3210, 16, 4836, 29270, 18, 7022, 607, 1175, 20299, 349, 1205, 309, 1286, 16, 25, 9, 360, 17850, 16, 367, 583, 17850, 349, 481, 808, 7990, 309, 430, 16, 26, 9, 473, 19050, 8308, 49050, 17014, 1397, 7155, 35, 1178, 373, 322, 26621, 6146, 918, 16, 17850, 2553, 757, 373, 4893, 26138, 18, 12280, 10229, 16, 374, 289, 8612, 5229, 27936, 23645, 48950, 17850, 567, 10246, 9467, 13049, 349, 2948, 23429, 16, 961, 1341, 576, 10359, 282, 571, 6838, 1165, 16, 289, 1320, 5195, 12565, 516, 14548, 18, 1268, 3041, 14758, 411, 1175, 4783, 706, 11566, 373, 16, 371, 4884, 22299, 4357, 23284, 263, 14758, 17850, 2553, 1943, 685, 9478, 46497, 18, 996, 481, 43583, 282, 8151, 3136, 34273, 5521, 18, 740, 16, 17507, 16, 2669, 870, 2764, 16, 2972, 5261, 334, 23144, 395, 14795, 5781, 1230, 1212, 32948, 16, 1783, 5385, 349, 17784, 16, 935, 322, 9940, 2135, 12127, 2553, 18, 18197, 23763, 289, 3147, 14763, 3412, 28386, 36273, 510, 11977, 2357, 478, 28828, 12411, 470, 2241, 457, 13628, 17, 677, 730, 18, 1787, 18942, 1335, 15154, 282, 907, 19936, 3734, 779, 1230, 1212, 5581, 33512, 282, 4103, 349, 17784, 4843, 8081, 5096, 473, 483, 315, 4618, 7990, 722, 20809, 4103, 334, 37428, 18175, 349, 20981, 814, 459, 6524, 4318, 697, 1320, 349, 17784, 1069, 876, 14958, 11977, 735, 6036, 2241, 510, 29686, 17, 14210, 680, 365, 730, 289, 17234, 1069, 876, 14958, 16, 475, 745, 32953, 309, 19592, 933, 18253, 3740, 933, 29427, 473, 38, 38711, 814, 30550, 343, 334, 18202, 478, 28828, 12411, 470, 457, 13628, 17, 677, 730, 11112, 1329, 322, 11642, 537, 541, 7179, 10059, 16, 537, 541, 7019, 7179, 17850, 18, 30164, 16, 14702, 4000, 282, 478, 49867, 470, 31302, 701, 16, 367, 3785, 5915, 3525, 708, 4026, 8140, 16, 374, 31134, 2098, 2269, 309, 49189, 10059, 371, 722, 35669, 3730, 26922, 36265, 18, 365, 5329, 360, 3041, 14758, 411, 2553, 41969, 16, 8636, 16862, 266, 1398, 6245, 7791, 505, 23284, 18, 999, 4722, 1205, 473, 267, 430, 4238, 4018, 779, 334, 430, 4238, 3734, 779, 13, 492, 12076, 4843, 9348, 16, 23, 5096, 18, 9133, 11678, 360, 266, 1214, 3711, 309, 907, 20981, 3734, 779, 473, 7944, 7957, 15154, 478, 49867, 470, 334, 457, 13628, 17, 677, 730, 16, 3235, 7796, 6146, 3536, 16, 478, 28828, 319, 470, 46646, 541, 13311, 289, 10933, 2764, 16, 12623, 345, 6406, 697, 289, 39716, 282, 951, 38711, 814, 4798, 14167, 15154, 1230, 1212, 7421, 20809, 19296, 37865, 2068, 2610, 14758, 411, 1175, 4722, 1205, 41969, 24553, 309, 5066, 4843, 25, 443, 28, 5096, 282, 20981, 18, 8255, 1270, 6591, 12565, 2553, 349, 1205, 322, 14268, 294, 449, 9885, 23255, 17850, 18, 459, 322, 757, 7869, 371, 2567, 33618, 360, 266, 1214, 14758, 18, 889, 428, 14316, 5156, 1142, 8328, 18, 7022, 607, 20322, 16, 515, 322, 29725, 4008, 7045, 23461, 16, 3235, 16021, 18, 3771, 7556, 9225, 349, 17784, 16, 753, 42450, 2764, 5187, 349, 12455, 18, 740, 2006, 1574, 3084, 289, 10664, 451, 360, 3041, 50110, 411, 2553, 35, 15544, 7790, 5298, 309, 6730, 281, 2107, 16, 29163, 1963, 30, 16987, 9805, 4211, 7556, 8219, 1893, 2764, 349, 12455, 16, 753, 971, 3604, 697, 5187, 282, 6551, 16, 515, 726, 282, 2107, 5492, 18, 27370, 708, 24773, 30352, 478, 370, 489, 13698, 15752, 1082, 470, 48942, 411, 1175, 349, 2651, 722, 5901, 35813, 1569, 4843, 3420, 25, 16, 23, 5096, 473, 19050, 8308, 49050, 309, 430, 4238, 3734, 779, 16, 30010, 448, 10874, 3230, 567, 1269, 445, 814, 365, 2710, 2553, 9513, 286, 1177, 19938, 35, 365, 1421, 13269, 6404, 1459, 287, 510, 21700, 700, 16, 48468, 289, 16582, 5167, 473, 275, 30019, 582, 764, 289, 46823, 7474, 814, 365, 3198, 15154, 478, 49867, 470, 282, 5572, 19936, 978, 779, 4843, 11672, 5096, 5781, 17085, 12357, 282, 951, 38711, 18, 19592, 1162, 8635, 542, 1833, 7166, 3645, 309, 7015, 1756, 334, 17234, 6153, 7715, 16, 12509, 3964, 10487, 27914, 2470, 2294, 18, 12126, 13004, 17085, 282, 6551, 473, 408, 9024, 3890, 4843, 8066, 25, 5096, 13, 9595, 3226, 575, 411, 13269, 6404, 301, 3690, 510, 3874, 28083, 16, 36473, 289, 46823, 16968, 18, 459, 8471, 481, 475, 1139, 25179, 8988, 18, 48468, 26091, 2074, 3064, 282, 6551, 473, 447, 10479, 16, 502, 912, 349, 49659, 304, 17085, 411, 1175, 282, 48468, 13, 430, 16, 27, 1728, 1205, 4593, 17850, 18, 46823, 7474, 510, 5953, 9, 17850, 16, 21700, 700, 510, 4317, 5999, 3923, 16, 481, 37163, 18, 365, 11129, 870, 2553, 4521, 322, 6153, 4110, 282, 6551, 2388, 12232, 541, 13127, 1634, 2066, 931, 2764, 18, 16003, 16, 4498, 3419, 290, 449, 24689, 15418, 473, 1386, 1431, 464, 13, 1248, 1129, 5781, 50110, 5187, 282, 8362, 16, 515, 726, 424, 7595, 7796, 17085, 670, 7796, 23429, 18, 10538, 16, 1379, 16987, 4211, 5273, 16, 374, 7095, 968, 36270, 15631, 289, 22636, 353, 282, 1175, 411, 17, 431, 8535, 18, 4777, 5175, 16, 374, 349, 49659, 304, 15154, 478, 49867, 470, 6591, 7179, 16178, 510, 481, 8698, 6906, 9600, 6591, 16178, 5781, 6271, 9771, 1190, 16, 2200, 9919, 536, 6744, 6710, 473, 275, 1076, 468, 6133, 16, 2091, 16, 895, 15961, 289, 1248, 40776, 49817 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2353, 12340, 44458, 16, 785, 656, 18997, 478, 2247, 451, 21803, 861, 3923, 16, 492, 16292, 282, 22755, 2545, 2095, 1230, 1212, 5581, 353, 289, 1087, 6838, 1082, 18, 365, 6031, 1967, 21132, 366, 4766, 9360, 19540, 38896, 1013, 19034, 4652, 453, 18, 7188, 551, 1545, 15987, 4103, 2553, 475, 764, 3440, 16, 828, 9024, 4490, 7143, 448, 35994, 282, 1949, 4328, 5706, 16, 2733, 2175, 16, 3771, 13309, 3348, 411, 2402, 40487, 8640, 25257, 16755, 1347, 40824, 2422, 18, 967, 803, 678, 27735, 30586, 4244, 4287, 334, 2200, 19222, 395, 473, 6433, 1450, 322, 939, 17, 299, 289, 6453, 13, 289, 282, 8023, 3440, 10047, 16, 11224, 274, 28356, 553, 1888, 2044, 473, 24333, 35067, 2430, 6153, 2712, 282, 1129, 1617, 8204, 448, 35994, 814, 16551, 5202, 335, 315, 13155, 26687, 47618, 11268, 18, 40977, 26175, 15397, 2553, 3757, 322, 6245, 7791, 4914, 1475, 467, 448, 35994, 35067, 8112, 18, 996, 639, 764, 282, 3998, 6705, 779, 18, 740, 726, 334, 12821, 907, 22652, 4018, 779, 4103, 26175, 15397, 42931, 1114, 35994, 24777, 1175, 18, 4338, 16, 6396, 1205, 16, 481, 6245, 1979, 38245, 2123, 5999, 459, 16, 3210, 16, 4836, 29270, 18, 7022, 607, 1175, 20299, 349, 1205, 309, 1286, 16, 25, 9, 360, 17850, 16, 367, 583, 17850, 349, 481, 808, 7990, 309, 430, 16, 26, 9, 473, 19050, 8308, 49050, 17014, 1397, 7155, 35, 1178, 373, 322, 26621, 6146, 918, 16, 17850, 2553, 757, 373, 4893, 26138, 18, 12280, 10229, 16, 374, 289, 8612, 5229, 27936, 23645, 48950, 17850, 567, 10246, 9467, 13049, 349, 2948, 23429, 16, 961, 1341, 576, 10359, 282, 571, 6838, 1165, 16, 289, 1320, 5195, 12565, 516, 14548, 18, 1268, 3041, 14758, 411, 1175, 4783, 706, 11566, 373, 16, 371, 4884, 22299, 4357, 23284, 263, 14758, 17850, 2553, 1943, 685, 9478, 46497, 18, 996, 481, 43583, 282, 8151, 3136, 34273, 5521, 18, 740, 16, 17507, 16, 2669, 870, 2764, 16, 2972, 5261, 334, 23144, 395, 14795, 5781, 1230, 1212, 32948, 16, 1783, 5385, 349, 17784, 16, 935, 322, 9940, 2135, 12127, 2553, 18, 18197, 23763, 289, 3147, 14763, 3412, 28386, 36273, 510, 11977, 2357, 478, 28828, 12411, 470, 2241, 457, 13628, 17, 677, 730, 18, 1787, 18942, 1335, 15154, 282, 907, 19936, 3734, 779, 1230, 1212, 5581, 33512, 282, 4103, 349, 17784, 4843, 8081, 5096, 473, 483, 315, 4618, 7990, 722, 20809, 4103, 334, 37428, 18175, 349, 20981, 814, 459, 6524, 4318, 697, 1320, 349, 17784, 1069, 876, 14958, 11977, 735, 6036, 2241, 510, 29686, 17, 14210, 680, 365, 730, 289, 17234, 1069, 876, 14958, 16, 475, 745, 32953, 309, 19592, 933, 18253, 3740, 933, 29427, 473, 38, 38711, 814, 30550, 343, 334, 18202, 478, 28828, 12411, 470, 457, 13628, 17, 677, 730, 11112, 1329, 322, 11642, 537, 541, 7179, 10059, 16, 537, 541, 7019, 7179, 17850, 18, 30164, 16, 14702, 4000, 282, 478, 49867, 470, 31302, 701, 16, 367, 3785, 5915, 3525, 708, 4026, 8140, 16, 374, 31134, 2098, 2269, 309, 49189, 10059, 371, 722, 35669, 3730, 26922, 36265, 18, 365, 5329, 360, 3041, 14758, 411, 2553, 41969, 16, 8636, 16862, 266, 1398, 6245, 7791, 505, 23284, 18, 999, 4722, 1205, 473, 267, 430, 4238, 4018, 779, 334, 430, 4238, 3734, 779, 13, 492, 12076, 4843, 9348, 16, 23, 5096, 18, 9133, 11678, 360, 266, 1214, 3711, 309, 907, 20981, 3734, 779, 473, 7944, 7957, 15154, 478, 49867, 470, 334, 457, 13628, 17, 677, 730, 16, 3235, 7796, 6146, 3536, 16, 478, 28828, 319, 470, 46646, 541, 13311, 289, 10933, 2764, 16, 12623, 345, 6406, 697, 289, 39716, 282, 951, 38711, 814, 4798, 14167, 15154, 1230, 1212, 7421, 20809, 19296, 37865, 2068, 2610, 14758, 411, 1175, 4722, 1205, 41969, 24553, 309, 5066, 4843, 25, 443, 28, 5096, 282, 20981, 18, 8255, 1270, 6591, 12565, 2553, 349, 1205, 322, 14268, 294, 449, 9885, 23255, 17850, 18, 459, 322, 757, 7869, 371, 2567, 33618, 360, 266, 1214, 14758, 18, 889, 428, 14316, 5156, 1142, 8328, 18, 7022, 607, 20322, 16, 515, 322, 29725, 4008, 7045, 23461, 16, 3235, 16021, 18, 3771, 7556, 9225, 349, 17784, 16, 753, 42450, 2764, 5187, 349, 12455, 18, 740, 2006, 1574, 3084, 289, 10664, 451, 360, 3041, 50110, 411, 2553, 35, 15544, 7790, 5298, 309, 6730, 281, 2107, 16, 29163, 1963, 30, 16987, 9805, 4211, 7556, 8219, 1893, 2764, 349, 12455, 16, 753, 971, 3604, 697, 5187, 282, 6551, 16, 515, 726, 282, 2107, 5492, 18, 27370, 708, 24773, 30352, 478, 370, 489, 13698, 15752, 1082, 470, 48942, 411, 1175, 349, 2651, 722, 5901, 35813, 1569, 4843, 3420, 25, 16, 23, 5096, 473, 19050, 8308, 49050, 309, 430, 4238, 3734, 779, 16, 30010, 448, 10874, 3230, 567, 1269, 445, 814, 365, 2710, 2553, 9513, 286, 1177, 19938, 35, 365, 1421, 13269, 6404, 1459, 287, 510, 21700, 700, 16, 48468, 289, 16582, 5167, 473, 275, 30019, 582, 764, 289, 46823, 7474, 814, 365, 3198, 15154, 478, 49867, 470, 282, 5572, 19936, 978, 779, 4843, 11672, 5096, 5781, 17085, 12357, 282, 951, 38711, 18, 19592, 1162, 8635, 542, 1833, 7166, 3645, 309, 7015, 1756, 334, 17234, 6153, 7715, 16, 12509, 3964, 10487, 27914, 2470, 2294, 18, 12126, 13004, 17085, 282, 6551, 473, 408, 9024, 3890, 4843, 8066, 25, 5096, 13, 9595, 3226, 575, 411, 13269, 6404, 301, 3690, 510, 3874, 28083, 16, 36473, 289, 46823, 16968, 18, 459, 8471, 481, 475, 1139, 25179, 8988, 18, 48468, 26091, 2074, 3064, 282, 6551, 473, 447, 10479, 16, 502, 912, 349, 49659, 304, 17085, 411, 1175, 282, 48468, 13, 430, 16, 27, 1728, 1205, 4593, 17850, 18, 46823, 7474, 510, 5953, 9, 17850, 16, 21700, 700, 510, 4317, 5999, 3923, 16, 481, 37163, 18, 365, 11129, 870, 2553, 4521, 322, 6153, 4110, 282, 6551, 2388, 12232, 541, 13127, 1634, 2066, 931, 2764, 18, 16003, 16, 4498, 3419, 290, 449, 24689, 15418, 473, 1386, 1431, 464, 13, 1248, 1129, 5781, 50110, 5187, 282, 8362, 16, 515, 726, 424, 7595, 7796, 17085, 670, 7796, 23429, 18, 10538, 16, 1379, 16987, 4211, 5273, 16, 374, 7095, 968, 36270, 15631, 289, 22636, 353, 282, 1175, 411, 17, 431, 8535, 18, 4777, 5175, 16, 374, 349, 49659, 304, 15154, 478, 49867, 470, 6591, 7179, 16178, 510, 481, 8698, 6906, 9600, 6591, 16178, 5781, 6271, 9771, 1190, 16, 2200, 9919, 536, 6744, 6710, 473, 275, 1076, 468, 6133, 16, 2091, 16, 895, 15961, 289, 1248, 40776, 49817 ]
[ 301, 3690, 16, 6895, 518, 16, 961, 9095, 11325, 23488, 622, 814, 1178, 453, 16, 502, 26192, 6591, 17964, 16178, 289, 360, 266, 1214, 50110, 6411, 16, 374, 16987, 9805, 19938, 282, 4722, 1205, 4893, 4783, 271, 2159, 37009, 411, 2553, 510, 428, 445, 1011, 13125, 542, 4090, 11253, 4830, 18, 439, 1038, 23095, 1211, 42080, 3775, 16, 42423, 6503, 1617, 10933, 12272, 26653, 15442, 353, 18, 9639, 1907, 282, 11204, 4211, 17, 600, 274, 883, 7291, 478, 370, 489, 8518, 15752, 343, 861, 5585, 659, 16, 42423, 1545, 13506, 690, 4455, 16, 322, 6066, 23644, 541, 14377, 434, 11977, 2005, 18, 889, 687, 6043, 4151, 3073, 16, 374, 14965, 381, 5471, 8191, 478, 375, 2074, 5355, 30737, 470, 670, 15499, 32506, 11673, 6271, 541, 11738, 290, 35885, 20383, 1378, 11791, 1798, 1175, 374, 17, 299, 22431, 282, 4008, 18, 608, 7321, 575, 2159, 6106, 510, 492, 1551, 341, 322, 334, 1987, 30806, 16, 367, 334, 9942, 18, 459, 1609, 1788, 322, 33298, 286, 2608, 16, 367, 8100, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 2951, 315, 1248, 5004, 6980, 10211, 21574, 305, 4090, 20840, 4000, 18, 640, 13314, 4830, 28505, 18334, 2818, 4128, 6993, 22887, 18, 17271, 19211, 3860, 510, 6888, 289, 4451, 890, 282, 16211, 18, 967, 803, 3003, 12899, 1967, 1791, 334, 17, 6093, 567, 10246, 5917, 360, 33726, 281, 9609, 18, 31224, 30, 47566, 17826, 289, 25568, 7938, 9001, 18334, 718, 1624, 48253, 1081, 4770, 1133, 11031, 281, 15513, 536, 16511, 282, 3182, 2665, 16, 1055, 282, 19226, 4996, 5702, 45099, 18, 6552, 530, 448, 687, 3888, 19465, 17225, 16, 961, 24185, 364, 1176, 411, 22912, 7032, 4966, 16, 8851, 8099, 6365, 2665, 3720, 11106, 25701, 18, 824, 505, 3163, 16, 15987, 5874, 2665, 6497, 3285, 2855, 2852, 986, 2158, 289, 8633, 18599, 536, 510, 481, 5874, 282, 35052, 16109, 18, 824, 505, 4734, 16, 23093, 6980, 4040, 47111, 6906, 28397, 5115, 18, 11106, 25701, 27834, 16, 374, 9744, 281, 28844, 473, 275, 970, 2875, 16, 281, 9609, 13, 1747, 8197, 478, 390, 8340, 1749, 16, 367, 322, 1040, 25885, 589, 6728, 19516, 16, 961, 12547, 10808, 11340, 5643, 10855, 289, 6267, 3236, 23703, 861, 824, 3163, 11106, 38633, 16, 16146, 758, 541, 2665, 3929, 3361, 477, 17986, 478, 45186, 1294, 19611, 910, 2686, 7969, 5494, 9013, 7556, 28927, 289, 281, 4778, 17986, 309, 4506, 642, 886, 416, 5137, 18, 27025, 18334, 718, 9321, 1038, 290, 30554, 15092, 15562, 281, 46052, 6049, 4697, 24812, 30, 7255, 536, 8204, 536, 48658, 16, 15602, 536, 30833, 1624, 10775, 1703, 30833, 21947, 289, 3281, 1624, 282, 4810, 16, 282, 21397, 3281, 17213, 18, 365, 12402, 6491, 7193, 18334, 718, 28035, 5848, 17773, 16, 961, 19196, 309, 5183, 29067, 8902, 16, 19760, 7957, 19589, 2576, 16, 25601, 11440, 309, 4211, 477, 1963, 7590, 14280, 289, 17329, 6431, 18, 365, 4784, 16, 1329, 4090, 30, 4652, 502, 575, 3240, 26454, 289, 46362, 18347, 32712, 18, 3791, 3720, 11106, 25701, 37386, 3064, 7316, 468, 282, 28265, 5738, 290, 25383, 33532, 265, 16, 21879, 2024, 1055, 48885, 18, 31577, 2514, 9773, 25383, 33532, 265, 1055, 1003, 13477, 309, 38765, 1212, 12071, 16, 282, 970, 2875, 282, 1175, 18, 18712, 3975, 1005, 5643, 7272, 16, 28035, 18334, 778, 16, 1747, 3168, 13234, 282, 38719, 15810, 29997, 3018, 16, 11897, 5703, 18868, 5054, 289, 424, 370, 1349, 617, 2891, 1188, 30571, 18, 4320, 481, 15724, 289, 939, 19465, 1694, 18, 1178, 19486, 16, 374, 334, 5833, 3538, 519, 3802, 26155, 779, 16, 785, 2125, 6886, 12760, 1133, 11031, 16, 329, 18334, 718, 322, 840, 11248, 282, 2086, 476, 473, 33032, 4770, 726, 15488, 322, 18660, 3058, 722, 289, 322, 8197, 29734, 2466, 10144, 934, 975, 840, 939, 25019, 5848, 1248, 12760, 1617, 11710, 18, 403, 2222, 575, 334, 14774, 22176, 7064, 322, 2532, 5779, 22141, 1188, 18198, 8459, 12984, 289, 895, 6508, 3728, 10030, 329, 2891, 519, 12464, 4090, 9536, 11919, 18, 34850, 6173, 16, 6584, 7064, 309, 4862, 895, 19111, 322, 3255, 3915, 978, 510, 2742, 4090, 779, 18, 15377, 11397, 3860, 2665, 510, 6548, 9158, 16, 281, 3279, 4128, 34468, 18334, 2818, 371, 15128, 16, 374, 322, 15583, 4090, 13095, 2009, 41561, 2804, 6684, 5348, 473, 275, 5734, 2083, 1574, 6029, 3281, 6059, 322, 3073, 7514, 536, 814, 1563, 10502, 17850, 2780, 29738, 764, 371, 18365, 523, 265, 390, 510, 282, 3734, 1045, 16, 3754, 16, 481, 17325, 639, 14560, 4118, 289, 26844, 2364, 2239, 16, 8696, 5999, 365, 2801, 289, 2604, 6206, 19715, 5464, 332, 381, 275, 2837, 17325, 510, 309, 1286, 16, 8042, 9, 289, 1658, 16, 10272, 9, 8774, 18, 17935, 1421, 779, 20203, 17850, 26118, 1398, 10450, 16, 6177, 935, 6847, 7179, 510, 309, 491, 16, 24, 9, 282, 4145, 1045, 16, 309, 491, 16, 25, 9, 510, 282, 7847, 17, 277, 289, 309, 816, 16, 25, 9, 510, 282, 11826, 17, 277, 18, 740, 481, 475, 3066, 322, 26515, 878, 281, 2498, 2608, 1949, 986, 478, 589, 343, 2793, 11593, 6980, 7118, 4703, 3342, 968, 289, 20515, 4703, 3440, 16, 828, 282, 3998, 4479, 17, 292, 5521, 18, 824, 850, 2640, 6629, 4458, 4946, 10111, 6980, 1623, 3610, 17, 295, 20921, 761, 2422, 16, 334, 17850, 309, 7683, 4186, 3164, 4803, 22839, 17, 361, 2223, 16, 4652, 309, 5066, 37753, 18, 365, 11826, 1045, 15602, 451, 7065, 4609, 937, 5040, 38703, 282, 2706, 9, 4186, 18, 996, 3342, 315, 16, 428, 1314, 16, 6980, 282, 3177, 25881, 2100, 322, 11240, 3716, 2002, 18, 7022, 8368, 1794, 648, 577, 549, 30636, 871, 7332, 294, 16094, 42782, 41064, 434, 4186, 18, 6980, 13122, 4362, 19297, 281, 22794, 26190, 33183, 289, 2533, 18, 13387, 2158, 16, 282, 12335, 11826, 17, 361, 16, 15417, 12402, 16523, 473, 3127, 11169, 13, 2665, 25105, 1475, 5024, 5981, 424, 7848, 478, 38687, 26113, 329, 1521, 576, 349, 12127, 289, 374, 281, 2184, 2240, 23281, 861, 824, 12821, 5981, 12374, 16, 374, 6980, 8034, 282, 4698, 43829, 2044, 17, 660, 315, 483, 10830, 27014, 282, 2968, 18, 33671, 5981, 33598, 5630, 12201, 2355, 9412, 12538, 13954, 282, 1032, 3763, 1135, 16, 371, 803, 4933, 349, 13952, 2553, 895, 11392, 2364, 491, 16, 26, 17, 22, 16, 27, 3763, 1135, 18, 9432, 319, 349, 19077, 5658, 2261, 9, 41064, 434, 4186, 2665, 18, 14427, 20251, 16, 387, 15565, 10977, 18347, 1854, 1505, 15287 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 301, 3690, 16, 6895, 518, 16, 961, 9095, 11325, 23488, 622, 814, 1178, 453, 16, 502, 26192, 6591, 17964, 16178, 289, 360, 266, 1214, 50110, 6411, 16, 374, 16987, 9805, 19938, 282, 4722, 1205, 4893, 4783, 271, 2159, 37009, 411, 2553, 510, 428, 445, 1011, 13125, 542, 4090, 11253, 4830, 18, 439, 1038, 23095, 1211, 42080, 3775, 16, 42423, 6503, 1617, 10933, 12272, 26653, 15442, 353, 18, 9639, 1907, 282, 11204, 4211, 17, 600, 274, 883, 7291, 478, 370, 489, 8518, 15752, 343, 861, 5585, 659, 16, 42423, 1545, 13506, 690, 4455, 16, 322, 6066, 23644, 541, 14377, 434, 11977, 2005, 18, 889, 687, 6043, 4151, 3073, 16, 374, 14965, 381, 5471, 8191, 478, 375, 2074, 5355, 30737, 470, 670, 15499, 32506, 11673, 6271, 541, 11738, 290, 35885, 20383, 1378, 11791, 1798, 1175, 374, 17, 299, 22431, 282, 4008, 18, 608, 7321, 575, 2159, 6106, 510, 492, 1551, 341, 322, 334, 1987, 30806, 16, 367, 334, 9942, 18, 459, 1609, 1788, 322, 33298, 286, 2608, 16, 367, 8100, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 2951, 315, 1248, 5004, 6980, 10211, 21574, 305, 4090, 20840, 4000, 18, 640, 13314, 4830, 28505, 18334, 2818, 4128, 6993, 22887, 18, 17271, 19211, 3860, 510, 6888, 289, 4451, 890, 282, 16211, 18, 967, 803, 3003, 12899, 1967, 1791, 334, 17, 6093, 567, 10246, 5917, 360, 33726, 281, 9609, 18, 31224, 30, 47566, 17826, 289, 25568, 7938, 9001, 18334, 718, 1624, 48253, 1081, 4770, 1133, 11031, 281, 15513, 536, 16511, 282, 3182, 2665, 16, 1055, 282, 19226, 4996, 5702, 45099, 18, 6552, 530, 448, 687, 3888, 19465, 17225, 16, 961, 24185, 364, 1176, 411, 22912, 7032, 4966, 16, 8851, 8099, 6365, 2665, 3720, 11106, 25701, 18, 824, 505, 3163, 16, 15987, 5874, 2665, 6497, 3285, 2855, 2852, 986, 2158, 289, 8633, 18599, 536, 510, 481, 5874, 282, 35052, 16109, 18, 824, 505, 4734, 16, 23093, 6980, 4040, 47111, 6906, 28397, 5115, 18, 11106, 25701, 27834, 16, 374, 9744, 281, 28844, 473, 275, 970, 2875, 16, 281, 9609, 13, 1747, 8197, 478, 390, 8340, 1749, 16, 367, 322, 1040, 25885, 589, 6728, 19516, 16, 961, 12547, 10808, 11340, 5643, 10855, 289, 6267, 3236, 23703, 861, 824, 3163, 11106, 38633, 16, 16146, 758, 541, 2665, 3929, 3361, 477, 17986, 478, 45186, 1294, 19611, 910, 2686, 7969, 5494, 9013, 7556, 28927, 289, 281, 4778, 17986, 309, 4506, 642, 886, 416, 5137, 18, 27025, 18334, 718, 9321, 1038, 290, 30554, 15092, 15562, 281, 46052, 6049, 4697, 24812, 30, 7255, 536, 8204, 536, 48658, 16, 15602, 536, 30833, 1624, 10775, 1703, 30833, 21947, 289, 3281, 1624, 282, 4810, 16, 282, 21397, 3281, 17213, 18, 365, 12402, 6491, 7193, 18334, 718, 28035, 5848, 17773, 16, 961, 19196, 309, 5183, 29067, 8902, 16, 19760, 7957, 19589, 2576, 16, 25601, 11440, 309, 4211, 477, 1963, 7590, 14280, 289, 17329, 6431, 18, 365, 4784, 16, 1329, 4090, 30, 4652, 502, 575, 3240, 26454, 289, 46362, 18347, 32712, 18, 3791, 3720, 11106, 25701, 37386, 3064, 7316, 468, 282, 28265, 5738, 290, 25383, 33532, 265, 16, 21879, 2024, 1055, 48885, 18, 31577, 2514, 9773, 25383, 33532, 265, 1055, 1003, 13477, 309, 38765, 1212, 12071, 16, 282, 970, 2875, 282, 1175, 18, 18712, 3975, 1005, 5643, 7272, 16, 28035, 18334, 778, 16, 1747, 3168, 13234, 282, 38719, 15810, 29997, 3018, 16, 11897, 5703, 18868, 5054, 289, 424, 370, 1349, 617, 2891, 1188, 30571, 18, 4320, 481, 15724, 289, 939, 19465, 1694, 18, 1178, 19486, 16, 374, 334, 5833, 3538, 519, 3802, 26155, 779, 16, 785, 2125, 6886, 12760, 1133, 11031, 16, 329, 18334, 718, 322, 840, 11248, 282, 2086, 476, 473, 33032, 4770, 726, 15488, 322, 18660, 3058, 722, 289, 322, 8197, 29734, 2466, 10144, 934, 975, 840, 939, 25019, 5848, 1248, 12760, 1617, 11710, 18, 403, 2222, 575, 334, 14774, 22176, 7064, 322, 2532, 5779, 22141, 1188, 18198, 8459, 12984, 289, 895, 6508, 3728, 10030, 329, 2891, 519, 12464, 4090, 9536, 11919, 18, 34850, 6173, 16, 6584, 7064, 309, 4862, 895, 19111, 322, 3255, 3915, 978, 510, 2742, 4090, 779, 18, 15377, 11397, 3860, 2665, 510, 6548, 9158, 16, 281, 3279, 4128, 34468, 18334, 2818, 371, 15128, 16, 374, 322, 15583, 4090, 13095, 2009, 41561, 2804, 6684, 5348, 473, 275, 5734, 2083, 1574, 6029, 3281, 6059, 322, 3073, 7514, 536, 814, 1563, 10502, 17850, 2780, 29738, 764, 371, 18365, 523, 265, 390, 510, 282, 3734, 1045, 16, 3754, 16, 481, 17325, 639, 14560, 4118, 289, 26844, 2364, 2239, 16, 8696, 5999, 365, 2801, 289, 2604, 6206, 19715, 5464, 332, 381, 275, 2837, 17325, 510, 309, 1286, 16, 8042, 9, 289, 1658, 16, 10272, 9, 8774, 18, 17935, 1421, 779, 20203, 17850, 26118, 1398, 10450, 16, 6177, 935, 6847, 7179, 510, 309, 491, 16, 24, 9, 282, 4145, 1045, 16, 309, 491, 16, 25, 9, 510, 282, 7847, 17, 277, 289, 309, 816, 16, 25, 9, 510, 282, 11826, 17, 277, 18, 740, 481, 475, 3066, 322, 26515, 878, 281, 2498, 2608, 1949, 986, 478, 589, 343, 2793, 11593, 6980, 7118, 4703, 3342, 968, 289, 20515, 4703, 3440, 16, 828, 282, 3998, 4479, 17, 292, 5521, 18, 824, 850, 2640, 6629, 4458, 4946, 10111, 6980, 1623, 3610, 17, 295, 20921, 761, 2422, 16, 334, 17850, 309, 7683, 4186, 3164, 4803, 22839, 17, 361, 2223, 16, 4652, 309, 5066, 37753, 18, 365, 11826, 1045, 15602, 451, 7065, 4609, 937, 5040, 38703, 282, 2706, 9, 4186, 18, 996, 3342, 315, 16, 428, 1314, 16, 6980, 282, 3177, 25881, 2100, 322, 11240, 3716, 2002, 18, 7022, 8368, 1794, 648, 577, 549, 30636, 871, 7332, 294, 16094, 42782, 41064, 434, 4186, 18, 6980, 13122, 4362, 19297, 281, 22794, 26190, 33183, 289, 2533, 18, 13387, 2158, 16, 282, 12335, 11826, 17, 361, 16, 15417, 12402, 16523, 473, 3127, 11169, 13, 2665, 25105, 1475, 5024, 5981, 424, 7848, 478, 38687, 26113, 329, 1521, 576, 349, 12127, 289, 374, 281, 2184, 2240, 23281, 861, 824, 12821, 5981, 12374, 16, 374, 6980, 8034, 282, 4698, 43829, 2044, 17, 660, 315, 483, 10830, 27014, 282, 2968, 18, 33671, 5981, 33598, 5630, 12201, 2355, 9412, 12538, 13954, 282, 1032, 3763, 1135, 16, 371, 803, 4933, 349, 13952, 2553, 895, 11392, 2364, 491, 16, 26, 17, 22, 16, 27, 3763, 1135, 18, 9432, 319, 349, 19077, 5658, 2261, 9, 41064, 434, 4186, 2665, 18, 14427, 20251, 16, 387, 15565, 10977, 18347, 1854, 1505, 15287 ]
[ 510, 24761, 16, 28916, 613, 289, 30636, 871, 18, 1563, 375, 873, 329, 21923, 411, 2553, 282, 11976, 1033, 7773, 13311, 5197, 18, 6023, 320, 468, 4966, 18334, 718, 10846, 15562, 281, 46052, 6049, 4697, 24812, 3147, 6218, 18, 2052, 350, 874, 3361, 281, 867, 575, 24754, 749, 10515, 933, 21356, 541, 7234, 6980, 322, 895, 8195, 19827, 18, 3647, 4813, 309, 1218, 36918, 448, 7272, 16, 961, 42024, 2625, 14697, 23061, 282, 7544, 309, 27594, 651, 282, 4810, 16, 13367, 34530, 23470, 18, 1591, 17, 7329, 16, 24754, 1623, 14340, 16755, 2610, 1210, 2545, 5907, 4103, 4139, 48437, 14774, 7234, 18, 365, 2343, 11826, 779, 6980, 7356, 360, 23061, 6940, 2273, 301, 21478, 651, 2364, 4843, 21, 16, 24, 5096, 18, 21779, 11617, 23429, 477, 1963, 24754, 17045, 4843, 2932, 5096, 18, 8859, 803, 4289, 44236, 27594, 16, 961, 895, 14033, 6980, 18, 1483, 3773, 549, 27200, 322, 17045, 816, 7418, 1655, 428, 6146, 918, 411, 1888, 11861, 9124, 1886, 4008, 8396, 282, 1409, 16, 25, 9, 36397, 18, 19012, 24754, 4360, 4862, 21633, 20858, 4310, 16755, 16336, 289, 2838, 428, 17, 299, 5914, 2253, 4103, 4139, 48437, 18, 2949, 924, 16, 785, 4008, 5695, 27594, 24754, 510, 481, 7834, 28927, 281, 1420, 541, 1888, 7796, 38502, 289, 23271, 18, 13191, 9015, 18334, 718, 25601, 7957, 19589, 2576, 309, 22945, 510, 1320, 16, 942, 2023, 16, 49584, 294, 3130, 334, 5015, 1016, 360, 11563, 17391, 18, 1563, 19767, 19715, 12333, 798, 309, 15363, 12724, 1251, 49661, 19589, 2576, 19362, 28935, 16, 289, 1830, 697, 2452, 1293, 703, 706, 282, 4101, 1760, 986, 16, 282, 5329, 34034, 5410, 12886, 14298, 3085, 9529, 2159, 7957, 18, 33379, 27313, 19589, 2576, 282, 14774, 16211, 322, 38937, 537, 6888, 16, 537, 19923, 17070, 16, 537, 10416, 4422, 24761, 9350, 18, 16102, 33493, 15717, 309, 803, 6942, 16, 281, 1754, 478, 25976, 347, 45634, 470, 895, 34468, 1833, 16, 6841, 1788, 1852, 9457, 11113, 1081, 14769, 8709, 510, 967, 10347, 24634, 16, 1029, 24086, 5880, 306, 41165, 2818, 289, 17575, 12671, 4218, 4295, 3951, 272, 1624, 515, 685, 3125, 7429, 1390, 371, 2695, 547, 18995, 10403, 9344, 18, 20346, 6740, 13767, 10144, 7108, 7134, 41062, 4075, 16, 2202, 1733, 3125, 32015, 967, 10347, 24634, 8597, 416, 18, 16003, 16, 374, 39288, 29108, 19782, 651, 2364, 4843, 22, 5096, 651, 7143, 322, 7677, 1344, 18, 967, 803, 30849, 11287, 43935, 15397, 289, 12846, 505, 28203, 617, 510, 2361, 411, 8468, 19238, 23429, 24754, 18, 985, 289, 13367, 34530, 23470, 16, 726, 289, 453, 5088, 47775, 541, 5752, 26113, 18, 10775, 1133, 21854, 726, 8765, 7282, 36579, 10144, 16, 374, 7727, 895, 16419, 309, 3889, 668, 8156, 16, 282, 970, 2875, 282, 6491, 15810, 29997, 3018, 16, 7811, 281, 37612, 289, 49336, 15397, 18, 365, 7623, 2083, 17751, 21858, 40184, 4534, 2438, 8348, 23383, 15803, 31980, 1624, 1029, 2815, 16, 374, 7005, 17541, 309, 10296, 4830, 2665, 12362, 478, 806, 451, 10159, 309, 3531, 36820, 470, 371, 16992, 34059, 282, 4008, 1791, 18, 4530, 867, 3771, 16, 4813, 309, 11529, 6473, 29104, 16020, 3361, 1949, 10263, 282, 38765, 2127, 17649, 16, 5702, 13842, 39743, 31105, 14512, 18, 49597, 27225, 1742, 13684, 282, 11826, 1045, 16, 334, 3761, 20286, 11198, 1734, 5119, 2407, 16, 12076, 1715, 4843, 3114, 5096, 4662, 289, 7990, 349, 1205, 309, 2261, 16, 25, 5999, 459, 48906, 660, 26765, 282, 4356, 1175, 18, 6980, 334, 17, 6093, 45680, 2918, 4782, 360, 7583, 10960, 289, 2273, 288, 1004, 7179, 8697, 18, 473, 684, 15695, 16, 10552, 10144, 3771, 13046, 555, 1279, 2665, 3531, 12435, 16, 4092, 659, 18836, 1360, 10960, 16, 515, 329, 14971, 1003, 15251, 16, 374, 19186, 11460, 840, 10343, 296, 1191, 315, 25903, 1920, 309, 9482, 2665, 1248, 42694, 2553, 814, 2667, 4319, 1326, 8241, 2634, 26113, 6535, 309, 7601, 1165, 282, 1175, 18, 996, 374, 3361, 281, 9609, 12378, 3348, 411, 23572, 37892, 294, 21012, 395, 309, 4862, 18, 26433, 8468, 541, 37455, 25887, 42782, 16, 7019, 21539, 15706, 16, 17085, 16, 13521, 281, 17458, 1518, 289, 37612, 510, 1215, 34034, 8266, 16, 961, 9523, 1188, 12984, 27402, 18334, 1703, 18, 3747, 1055, 329, 1047, 15513, 451, 5003, 19420, 360, 14769, 5478, 16, 38765, 1162, 5517, 2665, 281, 529, 18970, 19422, 1330, 10201, 16, 428, 2156, 481, 18027, 895, 48029, 289, 374, 5106, 281, 10836, 16, 1085, 505, 322, 15141, 1893, 18, 2, 1, 87, 1456, 81, 2448, 30, 4234, 4160, 8874, 478, 17242, 2488, 633, 550, 470, 510, 3655, 10756, 1771, 12136, 7930, 974, 8987, 1130, 4865, 16, 282, 6104, 1045, 834, 46659, 309, 16996, 1011, 25513, 986, 14236, 18, 365, 10666, 575, 41532, 289, 45440, 3676, 404, 282, 8156, 4676, 48363, 18, 31224, 30, 672, 5255, 5954, 968, 28950, 1412, 2443, 277, 8262, 16, 35587, 2497, 15809, 20491, 5473, 19398, 4083, 16, 5435, 21129, 4764, 16, 4093, 271, 19285, 411, 36064, 23977, 3595, 11520, 42906, 1347, 18, 26444, 45926, 16732, 1609, 16, 334, 1815, 290, 3422, 16, 50151, 289, 17922, 31, 9250, 20822, 16, 497, 7724, 1815, 988, 17, 299, 424, 1137, 1082, 2524, 2837, 37560, 418, 411, 7012, 322, 1261, 7113, 1280, 35295, 6780, 18, 32044, 1936, 1472, 1548, 519, 4319, 1326, 764, 322, 2590, 1275, 414, 424, 12667, 7930, 974, 8987, 1130, 4865, 16, 374, 322, 9721, 697, 808, 18, 1178, 282, 1808, 697, 38105, 1443, 2471, 35435, 305, 1176, 411, 959, 523, 15636, 276, 1467, 320, 287, 3310, 289, 504, 12209, 13870, 2080, 312, 16, 282, 803, 7006, 520, 840, 374, 17, 299, 36489, 670, 15527, 16, 289, 481, 322, 687, 1548, 16, 374, 8735, 289, 13052, 2664, 7930, 974, 8987, 1130, 4865, 16641, 21057, 541, 6714, 18825, 2160, 17233, 624, 18, 13567, 11570, 343, 281, 6214, 25272, 7279, 3276, 27833, 289, 279, 2430, 17, 1020, 320, 16, 44853, 312, 756, 1779, 1974, 281, 18716, 282, 3568, 516, 35190, 12671, 411, 23455, 16, 4424, 16438, 282, 16378, 4196, 404, 282, 17357, 1045, 18, 19259, 1467, 320, 287, 3310, 16, 4292, 20159, 2080, 312, 282, 2452, 1387, 4068, 773, 3463, 7930, 974, 8987, 1130, 4865, 16, 22440, 39277, 3059, 7127, 11812, 2161, 13278, 3463, 510, 289, 3085, 3391, 2159, 1756, 329, 6615, 15921, 935, 1655, 16, 785, 33406, 17447, 751, 411, 18769, 282, 15243, 18, 365, 29076, 11147, 43944, 17, 431, 6573, 7012, 322, 17980, 3463, 13317, 282, 2038, 47992, 34640, 17, 1476, 24398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 24761, 16, 28916, 613, 289, 30636, 871, 18, 1563, 375, 873, 329, 21923, 411, 2553, 282, 11976, 1033, 7773, 13311, 5197, 18, 6023, 320, 468, 4966, 18334, 718, 10846, 15562, 281, 46052, 6049, 4697, 24812, 3147, 6218, 18, 2052, 350, 874, 3361, 281, 867, 575, 24754, 749, 10515, 933, 21356, 541, 7234, 6980, 322, 895, 8195, 19827, 18, 3647, 4813, 309, 1218, 36918, 448, 7272, 16, 961, 42024, 2625, 14697, 23061, 282, 7544, 309, 27594, 651, 282, 4810, 16, 13367, 34530, 23470, 18, 1591, 17, 7329, 16, 24754, 1623, 14340, 16755, 2610, 1210, 2545, 5907, 4103, 4139, 48437, 14774, 7234, 18, 365, 2343, 11826, 779, 6980, 7356, 360, 23061, 6940, 2273, 301, 21478, 651, 2364, 4843, 21, 16, 24, 5096, 18, 21779, 11617, 23429, 477, 1963, 24754, 17045, 4843, 2932, 5096, 18, 8859, 803, 4289, 44236, 27594, 16, 961, 895, 14033, 6980, 18, 1483, 3773, 549, 27200, 322, 17045, 816, 7418, 1655, 428, 6146, 918, 411, 1888, 11861, 9124, 1886, 4008, 8396, 282, 1409, 16, 25, 9, 36397, 18, 19012, 24754, 4360, 4862, 21633, 20858, 4310, 16755, 16336, 289, 2838, 428, 17, 299, 5914, 2253, 4103, 4139, 48437, 18, 2949, 924, 16, 785, 4008, 5695, 27594, 24754, 510, 481, 7834, 28927, 281, 1420, 541, 1888, 7796, 38502, 289, 23271, 18, 13191, 9015, 18334, 718, 25601, 7957, 19589, 2576, 309, 22945, 510, 1320, 16, 942, 2023, 16, 49584, 294, 3130, 334, 5015, 1016, 360, 11563, 17391, 18, 1563, 19767, 19715, 12333, 798, 309, 15363, 12724, 1251, 49661, 19589, 2576, 19362, 28935, 16, 289, 1830, 697, 2452, 1293, 703, 706, 282, 4101, 1760, 986, 16, 282, 5329, 34034, 5410, 12886, 14298, 3085, 9529, 2159, 7957, 18, 33379, 27313, 19589, 2576, 282, 14774, 16211, 322, 38937, 537, 6888, 16, 537, 19923, 17070, 16, 537, 10416, 4422, 24761, 9350, 18, 16102, 33493, 15717, 309, 803, 6942, 16, 281, 1754, 478, 25976, 347, 45634, 470, 895, 34468, 1833, 16, 6841, 1788, 1852, 9457, 11113, 1081, 14769, 8709, 510, 967, 10347, 24634, 16, 1029, 24086, 5880, 306, 41165, 2818, 289, 17575, 12671, 4218, 4295, 3951, 272, 1624, 515, 685, 3125, 7429, 1390, 371, 2695, 547, 18995, 10403, 9344, 18, 20346, 6740, 13767, 10144, 7108, 7134, 41062, 4075, 16, 2202, 1733, 3125, 32015, 967, 10347, 24634, 8597, 416, 18, 16003, 16, 374, 39288, 29108, 19782, 651, 2364, 4843, 22, 5096, 651, 7143, 322, 7677, 1344, 18, 967, 803, 30849, 11287, 43935, 15397, 289, 12846, 505, 28203, 617, 510, 2361, 411, 8468, 19238, 23429, 24754, 18, 985, 289, 13367, 34530, 23470, 16, 726, 289, 453, 5088, 47775, 541, 5752, 26113, 18, 10775, 1133, 21854, 726, 8765, 7282, 36579, 10144, 16, 374, 7727, 895, 16419, 309, 3889, 668, 8156, 16, 282, 970, 2875, 282, 6491, 15810, 29997, 3018, 16, 7811, 281, 37612, 289, 49336, 15397, 18, 365, 7623, 2083, 17751, 21858, 40184, 4534, 2438, 8348, 23383, 15803, 31980, 1624, 1029, 2815, 16, 374, 7005, 17541, 309, 10296, 4830, 2665, 12362, 478, 806, 451, 10159, 309, 3531, 36820, 470, 371, 16992, 34059, 282, 4008, 1791, 18, 4530, 867, 3771, 16, 4813, 309, 11529, 6473, 29104, 16020, 3361, 1949, 10263, 282, 38765, 2127, 17649, 16, 5702, 13842, 39743, 31105, 14512, 18, 49597, 27225, 1742, 13684, 282, 11826, 1045, 16, 334, 3761, 20286, 11198, 1734, 5119, 2407, 16, 12076, 1715, 4843, 3114, 5096, 4662, 289, 7990, 349, 1205, 309, 2261, 16, 25, 5999, 459, 48906, 660, 26765, 282, 4356, 1175, 18, 6980, 334, 17, 6093, 45680, 2918, 4782, 360, 7583, 10960, 289, 2273, 288, 1004, 7179, 8697, 18, 473, 684, 15695, 16, 10552, 10144, 3771, 13046, 555, 1279, 2665, 3531, 12435, 16, 4092, 659, 18836, 1360, 10960, 16, 515, 329, 14971, 1003, 15251, 16, 374, 19186, 11460, 840, 10343, 296, 1191, 315, 25903, 1920, 309, 9482, 2665, 1248, 42694, 2553, 814, 2667, 4319, 1326, 8241, 2634, 26113, 6535, 309, 7601, 1165, 282, 1175, 18, 996, 374, 3361, 281, 9609, 12378, 3348, 411, 23572, 37892, 294, 21012, 395, 309, 4862, 18, 26433, 8468, 541, 37455, 25887, 42782, 16, 7019, 21539, 15706, 16, 17085, 16, 13521, 281, 17458, 1518, 289, 37612, 510, 1215, 34034, 8266, 16, 961, 9523, 1188, 12984, 27402, 18334, 1703, 18, 3747, 1055, 329, 1047, 15513, 451, 5003, 19420, 360, 14769, 5478, 16, 38765, 1162, 5517, 2665, 281, 529, 18970, 19422, 1330, 10201, 16, 428, 2156, 481, 18027, 895, 48029, 289, 374, 5106, 281, 10836, 16, 1085, 505, 322, 15141, 1893, 18, 2, 1, 87, 1456, 81, 2448, 30, 4234, 4160, 8874, 478, 17242, 2488, 633, 550, 470, 510, 3655, 10756, 1771, 12136, 7930, 974, 8987, 1130, 4865, 16, 282, 6104, 1045, 834, 46659, 309, 16996, 1011, 25513, 986, 14236, 18, 365, 10666, 575, 41532, 289, 45440, 3676, 404, 282, 8156, 4676, 48363, 18, 31224, 30, 672, 5255, 5954, 968, 28950, 1412, 2443, 277, 8262, 16, 35587, 2497, 15809, 20491, 5473, 19398, 4083, 16, 5435, 21129, 4764, 16, 4093, 271, 19285, 411, 36064, 23977, 3595, 11520, 42906, 1347, 18, 26444, 45926, 16732, 1609, 16, 334, 1815, 290, 3422, 16, 50151, 289, 17922, 31, 9250, 20822, 16, 497, 7724, 1815, 988, 17, 299, 424, 1137, 1082, 2524, 2837, 37560, 418, 411, 7012, 322, 1261, 7113, 1280, 35295, 6780, 18, 32044, 1936, 1472, 1548, 519, 4319, 1326, 764, 322, 2590, 1275, 414, 424, 12667, 7930, 974, 8987, 1130, 4865, 16, 374, 322, 9721, 697, 808, 18, 1178, 282, 1808, 697, 38105, 1443, 2471, 35435, 305, 1176, 411, 959, 523, 15636, 276, 1467, 320, 287, 3310, 289, 504, 12209, 13870, 2080, 312, 16, 282, 803, 7006, 520, 840, 374, 17, 299, 36489, 670, 15527, 16, 289, 481, 322, 687, 1548, 16, 374, 8735, 289, 13052, 2664, 7930, 974, 8987, 1130, 4865, 16641, 21057, 541, 6714, 18825, 2160, 17233, 624, 18, 13567, 11570, 343, 281, 6214, 25272, 7279, 3276, 27833, 289, 279, 2430, 17, 1020, 320, 16, 44853, 312, 756, 1779, 1974, 281, 18716, 282, 3568, 516, 35190, 12671, 411, 23455, 16, 4424, 16438, 282, 16378, 4196, 404, 282, 17357, 1045, 18, 19259, 1467, 320, 287, 3310, 16, 4292, 20159, 2080, 312, 282, 2452, 1387, 4068, 773, 3463, 7930, 974, 8987, 1130, 4865, 16, 22440, 39277, 3059, 7127, 11812, 2161, 13278, 3463, 510, 289, 3085, 3391, 2159, 1756, 329, 6615, 15921, 935, 1655, 16, 785, 33406, 17447, 751, 411, 18769, 282, 15243, 18, 365, 29076, 11147, 43944, 17, 431, 6573, 7012, 322, 17980, 3463, 13317, 282, 2038, 47992, 34640, 17, 1476, 24398 ]
[ 1032, 36615, 459, 418, 38259, 19495, 17, 46438, 555, 16, 289, 1500, 16, 18572, 275, 3338, 14582, 282, 675, 11490, 16, 6455, 11143, 2675, 11389, 18, 5890, 2615, 10756, 478, 45837, 546, 2279, 910, 18447, 1510, 282, 16340, 1045, 16, 27887, 39185, 28096, 651, 282, 23924, 35587, 3728, 289, 8562, 8260, 959, 1165, 43540, 887, 18968, 441, 451, 1230, 4415, 17, 1020, 16, 7221, 273, 17, 4596, 275, 16, 10721, 818, 645, 289, 11621, 739, 1157, 18, 889, 34142, 36309, 935, 2406, 281, 3649, 26774, 10710, 1361, 73, 8958, 41991, 6109, 16, 6776, 650, 5132, 309, 970, 575, 36100, 426, 289, 567, 10246, 477, 1267, 2339, 505, 20287, 18, 26907, 1310, 548, 40198, 1617, 32215, 289, 282, 11671, 1045, 30186, 1595, 2992, 10756, 16, 13334, 451, 282, 6292, 2236, 411, 12524, 891, 11442, 379, 31778, 8367, 478, 55, 9545, 534, 654, 907, 12739, 565, 910, 309, 2114, 49587, 475, 502, 16, 374, 1747, 281, 15174, 19132, 282, 3178, 13111, 19606, 18, 478, 789, 2774, 339, 549, 470, 734, 10907, 2750, 289, 5507, 361, 16388, 1133, 1776, 287, 1018, 16, 31104, 45343, 289, 37000, 375, 448, 17868, 1209, 9768, 289, 50138, 16, 42177, 19052, 1162, 48051, 289, 7395, 2234, 18825, 49022, 510, 475, 481, 2055, 956, 10420, 282, 26473, 7930, 974, 8987, 1130, 4865, 11762, 50250, 16, 289, 282, 2343, 25485, 3931, 4786, 726, 9219, 2537, 25815, 10579, 18, 6420, 20586, 3050, 49208, 16, 2588, 28311, 3637, 7930, 974, 8987, 1130, 4865, 16, 16641, 24292, 1013, 3645, 282, 13294, 285, 1612, 16, 785, 7265, 39097, 282, 23978, 1559, 3059, 277, 1996, 14735, 16, 367, 21006, 8392, 526, 1861, 622, 289, 8059, 31983, 17, 4013, 14364, 16, 3903, 16, 1215, 17, 10148, 7398, 452, 3834, 1195, 13122, 10702, 507, 2854, 12408, 6190, 5353, 23041, 26177, 289, 22861, 21118, 18, 1303, 12503, 4676, 30063, 18, 740, 322, 5314, 887, 18, 43378, 10551, 3103, 8669, 432, 37463, 432, 10756, 291, 289, 1176, 12750, 742, 16, 1771, 5353, 282, 2343, 6374, 17, 292, 1039, 709, 16, 428, 639, 1576, 3890, 510, 411, 17, 431, 27431, 24891, 6454, 1251, 2080, 312, 289, 1467, 320, 287, 3310, 18, 985, 4362, 5416, 726, 1800, 16, 15127, 5869, 12142, 906, 322, 282, 970, 16, 374, 21275, 10060, 15636, 276, 1467, 320, 287, 3310, 16, 282, 10973, 44091, 281, 15174, 46133, 22366, 16, 6776, 32257, 13208, 448, 10756, 276, 16, 2161, 13278, 266, 12840, 294, 38796, 1703, 4781, 807, 5967, 277, 473, 431, 12667, 294, 478, 1009, 2111, 264, 6520, 470, 678, 906, 16844, 798, 478, 630, 43123, 9979, 289, 43967, 37227, 281, 5691, 307, 262, 5228, 2611, 913, 289, 4937, 15224, 10082, 18432, 38153, 800, 16, 8067, 8210, 364, 8660, 448, 3775, 504, 12209, 13870, 2080, 312, 18, 365, 478, 392, 34273, 470, 541, 29430, 323, 12475, 1771, 12136, 16528, 322, 27831, 373, 2223, 30, 12156, 309, 14197, 3655, 2309, 15638, 3306, 1974, 281, 7094, 7054, 17, 23943, 404, 2855, 16, 21006, 8392, 526, 1861, 622, 18428, 701, 290, 4506, 539, 20378, 12218, 1251, 19205, 304, 289, 39667, 16, 367, 30663, 289, 18825, 49022, 2458, 25407, 6149, 282, 29304, 10277, 6836, 281, 14606, 48482, 1209, 634, 1485, 18, 459, 745, 29013, 329, 11449, 2516, 16, 309, 1639, 12816, 906, 8581, 8087, 12102, 42027, 40, 16, 322, 2354, 16, 367, 360, 755, 3173, 18, 2876, 1003, 1329, 31138, 282, 970, 16, 374, 1011, 16215, 5708, 16, 334, 2202, 1433, 11753, 32020, 16, 32269, 3676, 404, 6982, 779, 473, 275, 4542, 2024, 15027, 7388, 1527, 478, 45837, 546, 873, 470, 349, 5468, 289, 282, 5579, 17, 9400, 13, 1467, 320, 287, 3310, 289, 2080, 312, 25124, 18101, 5270, 986, 16, 753, 28110, 3655, 10756, 18, 439, 32686, 440, 6965, 282, 11366, 6705, 779, 5689, 478, 17242, 2488, 633, 550, 470, 473, 2824, 942, 18484, 281, 35128, 428, 478, 1386, 50194, 9979, 8874, 687, 1314, 16, 515, 26873, 505, 309, 17292, 3614, 942, 639, 764, 5004, 2158, 18, 459, 16, 294, 6095, 16, 3655, 10756, 478, 2042, 321, 3920, 24815, 2279, 910, 2024, 11273, 49270, 1771, 12136, 12503, 18101, 1760, 986, 16, 5175, 16, 322, 5828, 1829, 697, 12156, 18, 2387, 16, 1609, 15636, 276, 1467, 320, 287, 3310, 475, 453, 575, 35201, 289, 36492, 345, 928, 16, 367, 10598, 2080, 312, 16, 428, 289, 3255, 16, 5980, 15367, 2969, 623, 8253, 353, 16, 18639, 2389, 289, 6509, 5925, 8025, 13242, 290, 6003, 1354, 289, 9457, 292, 11999, 16, 322, 2458, 477, 5547, 5992, 18, 12126, 475, 16, 374, 453, 20223, 3358, 3372, 318, 282, 8562, 4678, 7930, 974, 8987, 1130, 4865, 3255, 16, 912, 289, 1336, 30, 309, 1177, 445, 2080, 312, 289, 1467, 320, 287, 3310, 12879, 9748, 28973, 13613, 16, 11752, 289, 12654, 20770, 16, 473, 2824, 16, 9705, 16, 322, 40552, 773, 3836, 371, 8623, 289, 37805, 16, 289, 15427, 1545, 687, 4705, 986, 2158, 5335, 451, 13052, 442, 6808, 814, 740, 16645, 282, 970, 16, 374, 282, 478, 45837, 546, 6870, 910, 785, 17, 299, 17627, 4486, 502, 282, 41633, 1766, 482, 16, 502, 282, 1922, 5580, 16, 726, 1003, 685, 346, 28793, 342, 16, 1003, 12766, 292, 1809, 955, 7079, 16, 1003, 8359, 18, 640, 478, 17242, 2488, 633, 550, 470, 322, 27831, 2223, 541, 10831, 13104, 10702, 287, 16, 1029, 685, 282, 697, 442, 1004, 292, 478, 41, 1200, 908, 565, 1831, 910, 478, 49, 7604, 786, 2416, 3028, 470, 670, 478, 55, 14338, 3659, 5784, 83, 11593, 475, 7109, 13368, 309, 10756, 263, 473, 8936, 312, 289, 1467, 320, 287, 3310, 3011, 12784, 697, 334, 483, 392, 934, 21079, 318, 4652, 282, 3709, 46388, 823, 5395, 46779, 289, 16, 14517, 1500, 1398, 10251, 298, 1779, 2161, 13278, 16, 2319, 1143, 4975, 530, 309, 1561, 3589, 32373, 564, 20151, 297, 1970, 16, 828, 309, 6402, 2768, 19064, 4436, 20054, 2632, 18, 11568, 2330, 979, 2458, 4853, 374, 3876, 5103, 282, 44816, 15023, 1901, 12065, 3462, 478, 47, 3410, 83, 470, 289, 4382, 15584, 478, 51, 84, 8414, 18130, 515, 289, 282, 1129, 1467, 320, 287, 3310, 289, 2080, 312, 322, 5558, 802, 519, 4999, 1634, 7878, 28549, 13368, 18, 29124, 16, 478, 17242, 2488, 633, 550, 470, 1143, 12016, 1363, 7014, 1066, 411, 281, 11536, 904, 1467, 320, 287, 3310, 289, 2080, 312, 16, 18447, 973, 282, 6104, 11020, 1290, 16, 828, 309, 7930, 974, 8987, 1130, 4865, 10485, 18378, 264, 30, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1032, 36615, 459, 418, 38259, 19495, 17, 46438, 555, 16, 289, 1500, 16, 18572, 275, 3338, 14582, 282, 675, 11490, 16, 6455, 11143, 2675, 11389, 18, 5890, 2615, 10756, 478, 45837, 546, 2279, 910, 18447, 1510, 282, 16340, 1045, 16, 27887, 39185, 28096, 651, 282, 23924, 35587, 3728, 289, 8562, 8260, 959, 1165, 43540, 887, 18968, 441, 451, 1230, 4415, 17, 1020, 16, 7221, 273, 17, 4596, 275, 16, 10721, 818, 645, 289, 11621, 739, 1157, 18, 889, 34142, 36309, 935, 2406, 281, 3649, 26774, 10710, 1361, 73, 8958, 41991, 6109, 16, 6776, 650, 5132, 309, 970, 575, 36100, 426, 289, 567, 10246, 477, 1267, 2339, 505, 20287, 18, 26907, 1310, 548, 40198, 1617, 32215, 289, 282, 11671, 1045, 30186, 1595, 2992, 10756, 16, 13334, 451, 282, 6292, 2236, 411, 12524, 891, 11442, 379, 31778, 8367, 478, 55, 9545, 534, 654, 907, 12739, 565, 910, 309, 2114, 49587, 475, 502, 16, 374, 1747, 281, 15174, 19132, 282, 3178, 13111, 19606, 18, 478, 789, 2774, 339, 549, 470, 734, 10907, 2750, 289, 5507, 361, 16388, 1133, 1776, 287, 1018, 16, 31104, 45343, 289, 37000, 375, 448, 17868, 1209, 9768, 289, 50138, 16, 42177, 19052, 1162, 48051, 289, 7395, 2234, 18825, 49022, 510, 475, 481, 2055, 956, 10420, 282, 26473, 7930, 974, 8987, 1130, 4865, 11762, 50250, 16, 289, 282, 2343, 25485, 3931, 4786, 726, 9219, 2537, 25815, 10579, 18, 6420, 20586, 3050, 49208, 16, 2588, 28311, 3637, 7930, 974, 8987, 1130, 4865, 16, 16641, 24292, 1013, 3645, 282, 13294, 285, 1612, 16, 785, 7265, 39097, 282, 23978, 1559, 3059, 277, 1996, 14735, 16, 367, 21006, 8392, 526, 1861, 622, 289, 8059, 31983, 17, 4013, 14364, 16, 3903, 16, 1215, 17, 10148, 7398, 452, 3834, 1195, 13122, 10702, 507, 2854, 12408, 6190, 5353, 23041, 26177, 289, 22861, 21118, 18, 1303, 12503, 4676, 30063, 18, 740, 322, 5314, 887, 18, 43378, 10551, 3103, 8669, 432, 37463, 432, 10756, 291, 289, 1176, 12750, 742, 16, 1771, 5353, 282, 2343, 6374, 17, 292, 1039, 709, 16, 428, 639, 1576, 3890, 510, 411, 17, 431, 27431, 24891, 6454, 1251, 2080, 312, 289, 1467, 320, 287, 3310, 18, 985, 4362, 5416, 726, 1800, 16, 15127, 5869, 12142, 906, 322, 282, 970, 16, 374, 21275, 10060, 15636, 276, 1467, 320, 287, 3310, 16, 282, 10973, 44091, 281, 15174, 46133, 22366, 16, 6776, 32257, 13208, 448, 10756, 276, 16, 2161, 13278, 266, 12840, 294, 38796, 1703, 4781, 807, 5967, 277, 473, 431, 12667, 294, 478, 1009, 2111, 264, 6520, 470, 678, 906, 16844, 798, 478, 630, 43123, 9979, 289, 43967, 37227, 281, 5691, 307, 262, 5228, 2611, 913, 289, 4937, 15224, 10082, 18432, 38153, 800, 16, 8067, 8210, 364, 8660, 448, 3775, 504, 12209, 13870, 2080, 312, 18, 365, 478, 392, 34273, 470, 541, 29430, 323, 12475, 1771, 12136, 16528, 322, 27831, 373, 2223, 30, 12156, 309, 14197, 3655, 2309, 15638, 3306, 1974, 281, 7094, 7054, 17, 23943, 404, 2855, 16, 21006, 8392, 526, 1861, 622, 18428, 701, 290, 4506, 539, 20378, 12218, 1251, 19205, 304, 289, 39667, 16, 367, 30663, 289, 18825, 49022, 2458, 25407, 6149, 282, 29304, 10277, 6836, 281, 14606, 48482, 1209, 634, 1485, 18, 459, 745, 29013, 329, 11449, 2516, 16, 309, 1639, 12816, 906, 8581, 8087, 12102, 42027, 40, 16, 322, 2354, 16, 367, 360, 755, 3173, 18, 2876, 1003, 1329, 31138, 282, 970, 16, 374, 1011, 16215, 5708, 16, 334, 2202, 1433, 11753, 32020, 16, 32269, 3676, 404, 6982, 779, 473, 275, 4542, 2024, 15027, 7388, 1527, 478, 45837, 546, 873, 470, 349, 5468, 289, 282, 5579, 17, 9400, 13, 1467, 320, 287, 3310, 289, 2080, 312, 25124, 18101, 5270, 986, 16, 753, 28110, 3655, 10756, 18, 439, 32686, 440, 6965, 282, 11366, 6705, 779, 5689, 478, 17242, 2488, 633, 550, 470, 473, 2824, 942, 18484, 281, 35128, 428, 478, 1386, 50194, 9979, 8874, 687, 1314, 16, 515, 26873, 505, 309, 17292, 3614, 942, 639, 764, 5004, 2158, 18, 459, 16, 294, 6095, 16, 3655, 10756, 478, 2042, 321, 3920, 24815, 2279, 910, 2024, 11273, 49270, 1771, 12136, 12503, 18101, 1760, 986, 16, 5175, 16, 322, 5828, 1829, 697, 12156, 18, 2387, 16, 1609, 15636, 276, 1467, 320, 287, 3310, 475, 453, 575, 35201, 289, 36492, 345, 928, 16, 367, 10598, 2080, 312, 16, 428, 289, 3255, 16, 5980, 15367, 2969, 623, 8253, 353, 16, 18639, 2389, 289, 6509, 5925, 8025, 13242, 290, 6003, 1354, 289, 9457, 292, 11999, 16, 322, 2458, 477, 5547, 5992, 18, 12126, 475, 16, 374, 453, 20223, 3358, 3372, 318, 282, 8562, 4678, 7930, 974, 8987, 1130, 4865, 3255, 16, 912, 289, 1336, 30, 309, 1177, 445, 2080, 312, 289, 1467, 320, 287, 3310, 12879, 9748, 28973, 13613, 16, 11752, 289, 12654, 20770, 16, 473, 2824, 16, 9705, 16, 322, 40552, 773, 3836, 371, 8623, 289, 37805, 16, 289, 15427, 1545, 687, 4705, 986, 2158, 5335, 451, 13052, 442, 6808, 814, 740, 16645, 282, 970, 16, 374, 282, 478, 45837, 546, 6870, 910, 785, 17, 299, 17627, 4486, 502, 282, 41633, 1766, 482, 16, 502, 282, 1922, 5580, 16, 726, 1003, 685, 346, 28793, 342, 16, 1003, 12766, 292, 1809, 955, 7079, 16, 1003, 8359, 18, 640, 478, 17242, 2488, 633, 550, 470, 322, 27831, 2223, 541, 10831, 13104, 10702, 287, 16, 1029, 685, 282, 697, 442, 1004, 292, 478, 41, 1200, 908, 565, 1831, 910, 478, 49, 7604, 786, 2416, 3028, 470, 670, 478, 55, 14338, 3659, 5784, 83, 11593, 475, 7109, 13368, 309, 10756, 263, 473, 8936, 312, 289, 1467, 320, 287, 3310, 3011, 12784, 697, 334, 483, 392, 934, 21079, 318, 4652, 282, 3709, 46388, 823, 5395, 46779, 289, 16, 14517, 1500, 1398, 10251, 298, 1779, 2161, 13278, 16, 2319, 1143, 4975, 530, 309, 1561, 3589, 32373, 564, 20151, 297, 1970, 16, 828, 309, 6402, 2768, 19064, 4436, 20054, 2632, 18, 11568, 2330, 979, 2458, 4853, 374, 3876, 5103, 282, 44816, 15023, 1901, 12065, 3462, 478, 47, 3410, 83, 470, 289, 4382, 15584, 478, 51, 84, 8414, 18130, 515, 289, 282, 1129, 1467, 320, 287, 3310, 289, 2080, 312, 322, 5558, 802, 519, 4999, 1634, 7878, 28549, 13368, 18, 29124, 16, 478, 17242, 2488, 633, 550, 470, 1143, 12016, 1363, 7014, 1066, 411, 281, 11536, 904, 1467, 320, 287, 3310, 289, 2080, 312, 16, 18447, 973, 282, 6104, 11020, 1290, 16, 828, 309, 7930, 974, 8987, 1130, 4865, 10485, 18378, 264, 30, 282 ]
[ 1177, 445, 11617, 1949, 2532, 486, 4486, 16, 17507, 16, 5915, 322, 1143, 16, 828, 2879, 906, 953, 5938, 35983, 48319, 7805, 18, 5043, 16, 502, 16, 374, 895, 19490, 12319, 2675, 16, 6859, 1757, 6477, 26938, 7930, 974, 8987, 1130, 4865, 16, 1223, 1472, 10453, 30324, 289, 322, 2410, 1561, 1941, 2864, 761, 20225, 10544, 23995, 31972, 986, 16, 895, 10529, 357, 334, 20798, 867, 16, 1085, 23540, 281, 2181, 28400, 31983, 17, 4013, 14364, 1472, 4426, 4781, 807, 1318, 272, 478, 618, 342, 3430, 861, 1591, 9701, 1750, 16, 282, 11063, 8775, 16, 988, 18222, 35070, 4090, 3676, 404, 7930, 974, 8987, 1130, 4865, 16, 19092, 726, 2673, 673, 2626, 510, 16171, 912, 687, 329, 5303, 4534, 289, 14683, 18, 1665, 367, 867, 16, 1085, 7990, 16, 28850, 16904, 864, 2624, 289, 30235, 2906, 21017, 1254, 281, 3649, 26774, 10756, 291, 6122, 716, 534, 654, 907, 12739, 565, 16, 20344, 410, 1273, 47118, 81, 31346, 776, 1130, 18971, 23106, 670, 1273, 18776, 84, 815, 68, 87, 1302, 45146, 16, 5702, 14889, 309, 502, 16, 374, 3655, 10756, 42027, 40, 651, 1472, 445, 3841, 343, 16, 28386, 5216, 4202, 277, 5548, 1196, 21218, 11817, 8528, 3553, 1631, 670, 2113, 7894, 411, 28993, 24815, 613, 18, 4824, 411, 14938, 48066, 1694, 478, 17242, 2488, 633, 550, 910, 428, 12698, 583, 504, 12209, 1204, 2080, 312, 282, 3781, 17, 40048, 19963, 16, 478, 293, 1725, 1744, 18382, 11918, 1251, 5512, 7925, 353, 861, 459, 16, 953, 895, 16, 4675, 38105, 1979, 289, 17574, 30083, 510, 7736, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 478, 26732, 884, 470, 6001, 6838, 4671, 700, 512, 1011, 537, 19090, 282, 21139, 2047, 281, 478, 12145, 1736, 464, 470, 1109, 16, 374, 1329, 322, 15050, 282, 683, 991, 582, 1333, 1011, 4466, 18, 40823, 29720, 19340, 2334, 1236, 48550, 488, 492, 10824, 11839, 301, 5681, 42372, 40524, 1520, 613, 18, 31224, 30, 471, 4182, 289, 7111, 862, 16, 10133, 4223, 1854, 536, 18, 478, 12145, 1736, 464, 470, 510, 3952, 549, 7193, 18, 13268, 2742, 3781, 2976, 1086, 16, 510, 1109, 6548, 9680, 478, 26732, 884, 470, 6001, 6838, 4671, 700, 512, 18, 510, 1345, 575, 10073, 8714, 309, 34565, 333, 1408, 18, 459, 475, 49267, 282, 3507, 651, 481, 639, 5416, 519, 978, 7977, 861, 510, 14681, 7642, 360, 478, 12145, 1736, 464, 9519, 510, 18110, 16801, 6728, 42222, 16, 4492, 1733, 2036, 18845, 319, 5199, 18, 365, 5572, 44056, 16590, 939, 1269, 25592, 18, 1345, 23653, 1854, 416, 7811, 16, 374, 289, 3238, 280, 1323, 18, 510, 2112, 537, 19090, 8503, 520, 478, 26732, 375, 470, 49338, 496, 35, 510, 18816, 1013, 518, 575, 16, 374, 289, 519, 37415, 4466, 18, 365, 3507, 840, 939, 26586, 2117, 18, 510, 22158, 11820, 6295, 7634, 5596, 35, 510, 2387, 18, 510, 12250, 263, 35520, 9410, 329, 5732, 4966, 18, 889, 25814, 622, 35, 510, 1178, 281, 5280, 979, 640, 342, 507, 322, 22806, 16, 502, 282, 10390, 7774, 281, 1236, 48550, 488, 34453, 6295, 18, 889, 13534, 16, 492, 322, 5354, 15314, 18, 889, 685, 17933, 3686, 451, 47953, 18, 510, 999, 2948, 1660, 3225, 23621, 3493, 282, 5462, 582, 35, 510, 999, 2948, 3048, 432, 15852, 18, 6682, 4927, 2458, 6281, 16, 2391, 7134, 31252, 10580, 16, 961, 1381, 639, 3836, 18, 510, 365, 1851, 5492, 3164, 1314, 528, 508, 10517, 22227, 35, 510, 528, 508, 10517, 25521, 2615, 3191, 16, 1314, 2702, 10660, 6450, 4164, 289, 437, 29777, 2384, 1616, 895, 27714, 4769, 18, 640, 566, 742, 478, 12145, 1736, 464, 470, 40540, 31300, 46023, 31793, 1208, 16, 282, 1423, 3678, 16, 1109, 16, 374, 505, 7193, 9621, 1154, 8955, 18, 478, 25855, 25737, 639, 3604, 35520, 7150, 6396, 1871, 7130, 1011, 924, 16, 428, 329, 813, 11116, 8198, 3732, 16432, 16, 510, 1109, 492, 18, 510, 7249, 309, 502, 16, 374, 42262, 7846, 18035, 5199, 16, 3684, 656, 9621, 925, 8955, 282, 39566, 8267, 18, 740, 329, 813, 1747, 16171, 282, 3507, 18, 3923, 16, 23822, 322, 840, 1574, 16, 428, 827, 373, 10133, 14366, 282, 20035, 16, 515, 475, 575, 1299, 840, 25019, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 12145, 1736, 464, 470, 510, 478, 26732, 375, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 16180, 5538, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11084, 282, 25350, 7544, 7478, 14923, 2602, 10684, 16357, 11970, 4995, 18, 42427, 25573, 30885, 18571, 13863, 10301, 10597, 411, 17, 431, 6059, 309, 4862, 16, 2686, 5870, 44365, 7216, 13013, 21519, 305, 309, 10933, 10902, 282, 5329, 289, 27268, 520, 374, 17, 299, 2204, 7715, 2954, 282, 20072, 8594, 5281, 24909, 1902, 33544, 289, 30705, 39, 1950, 16, 1055, 42031, 18, 31224, 30, 630, 3775, 10035, 289, 12402, 33436, 1175, 10128, 309, 3614, 23127, 1642, 16, 282, 3781, 17, 40048, 334, 8872, 44855, 11738, 1251, 41006, 2044, 17917, 635, 1367, 395, 323, 289, 27402, 30012, 1624, 961, 35170, 282, 11877, 18, 4756, 281, 22377, 2973, 353, 290, 3775, 20961, 15901, 13951, 282, 4599, 1175, 28003, 289, 2393, 16775, 6569, 16, 282, 4810, 16, 381, 803, 3153, 11350, 17, 9129, 303, 2145, 282, 1175, 19209, 4048, 399, 303, 18, 415, 3775, 31752, 294, 478, 36337, 416, 7423, 470, 2815, 309, 17032, 289, 13205, 35675, 6260, 4048, 273, 5944, 18, 478, 17561, 1133, 2241, 16, 10902, 289, 4211, 309, 21290, 8249, 5582, 3788, 411, 17, 431, 39321, 434, 4075, 9620, 18, 39766, 520, 745, 26559, 5433, 510, 6463, 4048, 399, 303, 282, 3177, 43287, 18, 2046, 9770, 5781, 6802, 510, 3229, 1223, 309, 4862, 12596, 4211, 18909, 10902, 473, 48604, 1624, 28737, 6778, 289, 36802, 9805, 32344, 7065, 47030, 17, 19602, 510, 1055, 322, 41631, 17884, 281, 10049, 5064, 3275, 3570, 10744, 353, 18, 365, 4810, 16, 309, 13999, 478, 32485, 18, 8381, 470, 48891, 33498, 289, 8624, 7067, 18820, 47030, 17, 24634, 7753, 2871, 286, 3828, 16, 374, 322, 840, 478, 635, 41475, 24478, 16020, 3586, 861, 478, 1140, 3725, 1087, 6838, 523, 2702, 5907, 3400, 12517, 281, 43319, 43991, 16, 515, 5870, 481, 21519, 305, 309, 33788, 6802, 2127, 6138, 16, 1055, 16, 749, 7289, 32801, 16, 2023, 4385, 910, 510, 2548, 9541, 17, 22079, 29238, 17, 24634, 26492, 274, 5696, 3583, 18, 824, 4734, 4729, 46357, 16, 15439, 1230, 5094, 5934 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1177, 445, 11617, 1949, 2532, 486, 4486, 16, 17507, 16, 5915, 322, 1143, 16, 828, 2879, 906, 953, 5938, 35983, 48319, 7805, 18, 5043, 16, 502, 16, 374, 895, 19490, 12319, 2675, 16, 6859, 1757, 6477, 26938, 7930, 974, 8987, 1130, 4865, 16, 1223, 1472, 10453, 30324, 289, 322, 2410, 1561, 1941, 2864, 761, 20225, 10544, 23995, 31972, 986, 16, 895, 10529, 357, 334, 20798, 867, 16, 1085, 23540, 281, 2181, 28400, 31983, 17, 4013, 14364, 1472, 4426, 4781, 807, 1318, 272, 478, 618, 342, 3430, 861, 1591, 9701, 1750, 16, 282, 11063, 8775, 16, 988, 18222, 35070, 4090, 3676, 404, 7930, 974, 8987, 1130, 4865, 16, 19092, 726, 2673, 673, 2626, 510, 16171, 912, 687, 329, 5303, 4534, 289, 14683, 18, 1665, 367, 867, 16, 1085, 7990, 16, 28850, 16904, 864, 2624, 289, 30235, 2906, 21017, 1254, 281, 3649, 26774, 10756, 291, 6122, 716, 534, 654, 907, 12739, 565, 16, 20344, 410, 1273, 47118, 81, 31346, 776, 1130, 18971, 23106, 670, 1273, 18776, 84, 815, 68, 87, 1302, 45146, 16, 5702, 14889, 309, 502, 16, 374, 3655, 10756, 42027, 40, 651, 1472, 445, 3841, 343, 16, 28386, 5216, 4202, 277, 5548, 1196, 21218, 11817, 8528, 3553, 1631, 670, 2113, 7894, 411, 28993, 24815, 613, 18, 4824, 411, 14938, 48066, 1694, 478, 17242, 2488, 633, 550, 910, 428, 12698, 583, 504, 12209, 1204, 2080, 312, 282, 3781, 17, 40048, 19963, 16, 478, 293, 1725, 1744, 18382, 11918, 1251, 5512, 7925, 353, 861, 459, 16, 953, 895, 16, 4675, 38105, 1979, 289, 17574, 30083, 510, 7736, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 566, 742, 478, 26732, 884, 470, 6001, 6838, 4671, 700, 512, 1011, 537, 19090, 282, 21139, 2047, 281, 478, 12145, 1736, 464, 470, 1109, 16, 374, 1329, 322, 15050, 282, 683, 991, 582, 1333, 1011, 4466, 18, 40823, 29720, 19340, 2334, 1236, 48550, 488, 492, 10824, 11839, 301, 5681, 42372, 40524, 1520, 613, 18, 31224, 30, 471, 4182, 289, 7111, 862, 16, 10133, 4223, 1854, 536, 18, 478, 12145, 1736, 464, 470, 510, 3952, 549, 7193, 18, 13268, 2742, 3781, 2976, 1086, 16, 510, 1109, 6548, 9680, 478, 26732, 884, 470, 6001, 6838, 4671, 700, 512, 18, 510, 1345, 575, 10073, 8714, 309, 34565, 333, 1408, 18, 459, 475, 49267, 282, 3507, 651, 481, 639, 5416, 519, 978, 7977, 861, 510, 14681, 7642, 360, 478, 12145, 1736, 464, 9519, 510, 18110, 16801, 6728, 42222, 16, 4492, 1733, 2036, 18845, 319, 5199, 18, 365, 5572, 44056, 16590, 939, 1269, 25592, 18, 1345, 23653, 1854, 416, 7811, 16, 374, 289, 3238, 280, 1323, 18, 510, 2112, 537, 19090, 8503, 520, 478, 26732, 375, 470, 49338, 496, 35, 510, 18816, 1013, 518, 575, 16, 374, 289, 519, 37415, 4466, 18, 365, 3507, 840, 939, 26586, 2117, 18, 510, 22158, 11820, 6295, 7634, 5596, 35, 510, 2387, 18, 510, 12250, 263, 35520, 9410, 329, 5732, 4966, 18, 889, 25814, 622, 35, 510, 1178, 281, 5280, 979, 640, 342, 507, 322, 22806, 16, 502, 282, 10390, 7774, 281, 1236, 48550, 488, 34453, 6295, 18, 889, 13534, 16, 492, 322, 5354, 15314, 18, 889, 685, 17933, 3686, 451, 47953, 18, 510, 999, 2948, 1660, 3225, 23621, 3493, 282, 5462, 582, 35, 510, 999, 2948, 3048, 432, 15852, 18, 6682, 4927, 2458, 6281, 16, 2391, 7134, 31252, 10580, 16, 961, 1381, 639, 3836, 18, 510, 365, 1851, 5492, 3164, 1314, 528, 508, 10517, 22227, 35, 510, 528, 508, 10517, 25521, 2615, 3191, 16, 1314, 2702, 10660, 6450, 4164, 289, 437, 29777, 2384, 1616, 895, 27714, 4769, 18, 640, 566, 742, 478, 12145, 1736, 464, 470, 40540, 31300, 46023, 31793, 1208, 16, 282, 1423, 3678, 16, 1109, 16, 374, 505, 7193, 9621, 1154, 8955, 18, 478, 25855, 25737, 639, 3604, 35520, 7150, 6396, 1871, 7130, 1011, 924, 16, 428, 329, 813, 11116, 8198, 3732, 16432, 16, 510, 1109, 492, 18, 510, 7249, 309, 502, 16, 374, 42262, 7846, 18035, 5199, 16, 3684, 656, 9621, 925, 8955, 282, 39566, 8267, 18, 740, 329, 813, 1747, 16171, 282, 3507, 18, 3923, 16, 23822, 322, 840, 1574, 16, 428, 827, 373, 10133, 14366, 282, 20035, 16, 515, 475, 575, 1299, 840, 25019, 861, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 12145, 1736, 464, 470, 510, 478, 26732, 375, 861, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 16180, 5538, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11084, 282, 25350, 7544, 7478, 14923, 2602, 10684, 16357, 11970, 4995, 18, 42427, 25573, 30885, 18571, 13863, 10301, 10597, 411, 17, 431, 6059, 309, 4862, 16, 2686, 5870, 44365, 7216, 13013, 21519, 305, 309, 10933, 10902, 282, 5329, 289, 27268, 520, 374, 17, 299, 2204, 7715, 2954, 282, 20072, 8594, 5281, 24909, 1902, 33544, 289, 30705, 39, 1950, 16, 1055, 42031, 18, 31224, 30, 630, 3775, 10035, 289, 12402, 33436, 1175, 10128, 309, 3614, 23127, 1642, 16, 282, 3781, 17, 40048, 334, 8872, 44855, 11738, 1251, 41006, 2044, 17917, 635, 1367, 395, 323, 289, 27402, 30012, 1624, 961, 35170, 282, 11877, 18, 4756, 281, 22377, 2973, 353, 290, 3775, 20961, 15901, 13951, 282, 4599, 1175, 28003, 289, 2393, 16775, 6569, 16, 282, 4810, 16, 381, 803, 3153, 11350, 17, 9129, 303, 2145, 282, 1175, 19209, 4048, 399, 303, 18, 415, 3775, 31752, 294, 478, 36337, 416, 7423, 470, 2815, 309, 17032, 289, 13205, 35675, 6260, 4048, 273, 5944, 18, 478, 17561, 1133, 2241, 16, 10902, 289, 4211, 309, 21290, 8249, 5582, 3788, 411, 17, 431, 39321, 434, 4075, 9620, 18, 39766, 520, 745, 26559, 5433, 510, 6463, 4048, 399, 303, 282, 3177, 43287, 18, 2046, 9770, 5781, 6802, 510, 3229, 1223, 309, 4862, 12596, 4211, 18909, 10902, 473, 48604, 1624, 28737, 6778, 289, 36802, 9805, 32344, 7065, 47030, 17, 19602, 510, 1055, 322, 41631, 17884, 281, 10049, 5064, 3275, 3570, 10744, 353, 18, 365, 4810, 16, 309, 13999, 478, 32485, 18, 8381, 470, 48891, 33498, 289, 8624, 7067, 18820, 47030, 17, 24634, 7753, 2871, 286, 3828, 16, 374, 322, 840, 478, 635, 41475, 24478, 16020, 3586, 861, 478, 1140, 3725, 1087, 6838, 523, 2702, 5907, 3400, 12517, 281, 43319, 43991, 16, 515, 5870, 481, 21519, 305, 309, 33788, 6802, 2127, 6138, 16, 1055, 16, 749, 7289, 32801, 16, 2023, 4385, 910, 510, 2548, 9541, 17, 22079, 29238, 17, 24634, 26492, 274, 5696, 3583, 18, 824, 4734, 4729, 46357, 16, 15439, 1230, 5094, 5934 ]
[ 1437, 895, 953, 2700, 10631, 726, 282, 10666, 18, 478, 2176, 1118, 3081, 318, 850, 17990, 16849, 2496, 23271, 16, 656, 25983, 282, 10666, 510, 334, 2222, 16, 5870, 3525, 45217, 3461, 8296, 478, 37075, 470, 1624, 510, 2548, 1176, 411, 36379, 46357, 18, 824, 505, 4734, 16, 282, 7253, 4096, 687, 21767, 1936, 36350, 4767, 10432, 11187, 3609, 17, 23390, 2272, 4751, 18001, 38419, 18, 1787, 10874, 16447, 477, 1963, 8594, 5281, 1440, 20607, 282, 11084, 281, 16052, 1902, 33544, 289, 30705, 39, 1950, 322, 3225, 18, 2046, 10902, 394, 16, 961, 25962, 349, 5969, 1197, 21251, 7321, 16, 25156, 16, 374, 47618, 16200, 783, 1175, 3895, 520, 16684, 18, 478, 677, 5329, 7934, 9983, 31002, 14952, 1542, 6295, 322, 2413, 6050, 18, 365, 2903, 2529, 1750, 1698, 953, 47103, 25207, 6053, 334, 1197, 2675, 16, 367, 697, 322, 1033, 816, 9, 360, 7203, 7919, 910, 510, 2548, 6187, 15352, 8594, 5281, 14952, 20177, 267, 29909, 24634, 18182, 25280, 324, 18, 967, 803, 678, 16926, 22627, 15634, 7019, 13771, 23041, 12517, 281, 1197, 2389, 309, 2923, 2665, 18, 478, 23441, 282, 803, 9347, 1494, 906, 12322, 2063, 536, 1964, 1305, 910, 510, 12557, 281, 722, 10940, 304, 6096, 4800, 337, 24113, 411, 47030, 17, 24634, 18, 9418, 281, 867, 282, 1750, 37640, 553, 9322, 11220, 3775, 9996, 4767, 5781, 8138, 8594, 5281, 1440, 34450, 322, 5285, 5832, 18, 478, 6039, 5917, 360, 924, 16, 18075, 997, 520, 13013, 282, 34004, 20030, 272, 16, 1747, 520, 38052, 5445, 9808, 282, 13012, 18, 1178, 1743, 40716, 519, 2793, 281, 9808, 16, 502, 8084, 16, 374, 19540, 28260, 477, 17986, 9808, 1747, 12497, 548, 910, 510, 2548, 5037, 22029, 346, 3594, 8709, 504, 684, 1182, 6729, 415, 3375, 4561, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 27679, 27601, 3726, 17241, 28278, 12152, 1631, 349, 13952, 20770, 18, 4663, 10896, 4896, 519, 2455, 4500, 18, 986, 16, 289, 481, 2862, 16, 374, 1749, 4732, 6885, 27987, 411, 20770, 282, 2393, 1767, 8067, 3255, 16, 828, 25399, 519, 978, 18, 31224, 30, 6014, 13031, 1133, 15095, 1340, 11257, 4289, 20132, 309, 9837, 1119, 28278, 12152, 1631, 349, 13952, 21646, 718, 36883, 18, 824, 3163, 7375, 287, 22735, 2763, 20149, 18367, 16, 34781, 1347, 1810, 16, 282, 8455, 1045, 17053, 10519, 282, 14647, 680, 30497, 2230, 600, 274, 21553, 2301, 14788, 31036, 18, 967, 1627, 275, 1421, 6911, 6657, 25487, 4767, 16, 11775, 29838, 16, 374, 28928, 31110, 1021, 49470, 535, 2051, 49693, 16, 1544, 3326, 2123, 27, 17, 1618, 24, 4500, 18, 986, 2158, 18, 4756, 4289, 20132, 28278, 1631, 349, 13952, 20770, 25487, 13656, 32973, 6374, 17, 34238, 4500, 18, 986, 2158, 18, 23409, 290, 28563, 5981, 30733, 282, 15959, 27148, 18, 29959, 297, 2272, 31036, 281, 23201, 9314, 11917, 6906, 3679, 434, 9163, 906, 45058, 282, 8455, 1045, 567, 808, 16475, 1816, 24125, 368, 282, 30497, 2230, 600, 274, 282, 1912, 4017, 360, 14397, 5619, 16, 282, 970, 575, 15095, 30895, 6797, 263, 16, 374, 289, 5600, 8046, 23201, 6379, 1671, 364, 289, 11625, 404, 2596, 17967, 16, 10050, 47432, 34212, 1368, 16, 2197, 411, 12137, 5981, 18, 49865, 15833, 16, 374, 5189, 31036, 4835, 3206, 3848, 281, 23126, 31036, 12152, 1631, 16, 367, 322, 322, 27647, 7450, 613, 510, 367, 16, 2862, 16, 1021, 49470, 535, 2051, 49693, 3005, 12848, 14536, 20770, 1033, 2455, 4500, 18, 986, 2158, 18, 2949, 4941, 523, 2719, 22352, 898, 27601, 30387, 17868, 16, 8997, 1453, 282, 453, 24941, 5762, 300, 1528, 604, 680, 23648, 16, 2536, 7958, 22950, 9305, 19738, 18, 889, 6411, 16, 6881, 15095, 1340, 16, 374, 12697, 978, 21906, 14304, 12423, 639, 9245, 281, 25875, 9578, 1512, 282, 803, 9804, 41470, 16400, 18, 11333, 19946, 548, 16, 5920, 1453, 282, 30497, 16, 29039, 309, 502, 16, 374, 2496, 1512, 898, 37854, 309, 8334, 7018, 510, 27356, 355, 16, 2303, 1014, 289, 42321, 18, 4794, 45327, 8912, 2625, 16, 374, 13386, 1749, 6885, 312, 4110, 411, 20770, 8396, 309, 3610, 4500, 18, 986, 3255, 16, 828, 25399, 4419, 18, 478, 48048, 3968, 2636, 26551, 783, 411, 20770, 14782, 16, 374, 43059, 670, 19020, 485, 381, 6328, 281, 28385, 3726, 5681, 20970, 5613, 30122, 4419, 16, 828, 25399, 3229, 18, 889, 32151, 281, 11526, 5681, 19020, 982, 15463, 353, 1033, 28944, 42782, 1512, 411, 20770, 910, 510, 9848, 472, 13426, 5871, 16, 9004, 262, 2128, 1136, 2414, 411, 18847, 3841, 36494, 2467, 718, 2802, 551, 285, 871, 473, 26404, 814, 49865, 2697, 11680, 282, 970, 16, 374, 10896, 31036, 6497, 7826, 18, 2320, 2753, 979, 13772, 16478, 1421, 4966, 18, 365, 30680, 745, 9112, 24958, 309, 7872, 27928, 411, 370, 28946, 16282, 324, 289, 11461, 653, 6507, 25487, 2682, 510, 745, 10842, 8659, 16, 785, 4421, 473, 1825, 968, 16, 3482, 16871, 282, 1169, 12942, 1018, 13, 4722, 445, 11060, 709, 37643, 33299, 5839, 18, 2949, 924, 16, 24737, 10258, 25487, 3271, 18111, 16, 5920, 1378, 329, 22352, 18, 5333, 2175, 16, 773, 3225, 9025, 16, 374, 10896, 31036, 895, 33996, 1281, 25, 4500, 18, 986, 18, 3791, 7193, 35708, 816, 40, 17, 277, 14159, 31036, 289, 13282, 3221, 26446, 8825, 281, 4778, 36581, 14362, 3746, 14135, 1512, 18, 6315, 420, 885, 12734, 16, 18752, 4144, 1018, 289, 28790, 17009, 2766, 6985, 309, 502, 16, 374, 28928, 21922, 3848, 9914, 6241, 5638, 1147, 16, 367, 322, 322, 27647, 7450, 1159, 18, 17232, 1871, 9803, 290, 42782, 1631, 411, 20770, 18, 6373, 411, 1129, 31999, 16, 374, 20132, 1749, 4732, 42346, 6885, 27987, 2364, 4317, 17, 5737, 4500, 18, 986, 2158, 18, 34889, 510, 374, 289, 519, 978, 16, 2364, 13435, 17, 39775, 4500, 18, 986, 2158, 16, 13768, 3463, 1512, 726, 6330, 3882, 831, 326, 1767, 349, 13952, 20770, 18, 2046, 10924, 4775, 25725, 20709, 289, 1033, 25319, 26551, 1437, 16, 367, 19020, 509, 8825, 10201, 16, 374, 1749, 289, 322, 27647, 7450, 873, 3005, 34138, 282, 474, 1505, 2630, 309, 2923, 5538, 1033, 28032, 4500, 18, 986, 2158, 18, 16424, 1276, 343, 3007, 5252, 5024, 290, 1033, 25319, 26551, 4678, 18, 478, 1358, 3684, 16, 481, 11723, 18, 608, 813, 912, 12152, 6974, 44831, 28928, 411, 16145, 16, 289, 722, 29410, 3942, 1336, 4703, 3255, 16, 828, 942, 639, 14513, 910, 510, 49644, 1276, 454, 9004, 262, 2128, 1136, 2414, 6260, 6939, 1285, 267, 411, 5014, 29595, 7779, 718 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1437, 895, 953, 2700, 10631, 726, 282, 10666, 18, 478, 2176, 1118, 3081, 318, 850, 17990, 16849, 2496, 23271, 16, 656, 25983, 282, 10666, 510, 334, 2222, 16, 5870, 3525, 45217, 3461, 8296, 478, 37075, 470, 1624, 510, 2548, 1176, 411, 36379, 46357, 18, 824, 505, 4734, 16, 282, 7253, 4096, 687, 21767, 1936, 36350, 4767, 10432, 11187, 3609, 17, 23390, 2272, 4751, 18001, 38419, 18, 1787, 10874, 16447, 477, 1963, 8594, 5281, 1440, 20607, 282, 11084, 281, 16052, 1902, 33544, 289, 30705, 39, 1950, 322, 3225, 18, 2046, 10902, 394, 16, 961, 25962, 349, 5969, 1197, 21251, 7321, 16, 25156, 16, 374, 47618, 16200, 783, 1175, 3895, 520, 16684, 18, 478, 677, 5329, 7934, 9983, 31002, 14952, 1542, 6295, 322, 2413, 6050, 18, 365, 2903, 2529, 1750, 1698, 953, 47103, 25207, 6053, 334, 1197, 2675, 16, 367, 697, 322, 1033, 816, 9, 360, 7203, 7919, 910, 510, 2548, 6187, 15352, 8594, 5281, 14952, 20177, 267, 29909, 24634, 18182, 25280, 324, 18, 967, 803, 678, 16926, 22627, 15634, 7019, 13771, 23041, 12517, 281, 1197, 2389, 309, 2923, 2665, 18, 478, 23441, 282, 803, 9347, 1494, 906, 12322, 2063, 536, 1964, 1305, 910, 510, 12557, 281, 722, 10940, 304, 6096, 4800, 337, 24113, 411, 47030, 17, 24634, 18, 9418, 281, 867, 282, 1750, 37640, 553, 9322, 11220, 3775, 9996, 4767, 5781, 8138, 8594, 5281, 1440, 34450, 322, 5285, 5832, 18, 478, 6039, 5917, 360, 924, 16, 18075, 997, 520, 13013, 282, 34004, 20030, 272, 16, 1747, 520, 38052, 5445, 9808, 282, 13012, 18, 1178, 1743, 40716, 519, 2793, 281, 9808, 16, 502, 8084, 16, 374, 19540, 28260, 477, 17986, 9808, 1747, 12497, 548, 910, 510, 2548, 5037, 22029, 346, 3594, 8709, 504, 684, 1182, 6729, 415, 3375, 4561, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 27679, 27601, 3726, 17241, 28278, 12152, 1631, 349, 13952, 20770, 18, 4663, 10896, 4896, 519, 2455, 4500, 18, 986, 16, 289, 481, 2862, 16, 374, 1749, 4732, 6885, 27987, 411, 20770, 282, 2393, 1767, 8067, 3255, 16, 828, 25399, 519, 978, 18, 31224, 30, 6014, 13031, 1133, 15095, 1340, 11257, 4289, 20132, 309, 9837, 1119, 28278, 12152, 1631, 349, 13952, 21646, 718, 36883, 18, 824, 3163, 7375, 287, 22735, 2763, 20149, 18367, 16, 34781, 1347, 1810, 16, 282, 8455, 1045, 17053, 10519, 282, 14647, 680, 30497, 2230, 600, 274, 21553, 2301, 14788, 31036, 18, 967, 1627, 275, 1421, 6911, 6657, 25487, 4767, 16, 11775, 29838, 16, 374, 28928, 31110, 1021, 49470, 535, 2051, 49693, 16, 1544, 3326, 2123, 27, 17, 1618, 24, 4500, 18, 986, 2158, 18, 4756, 4289, 20132, 28278, 1631, 349, 13952, 20770, 25487, 13656, 32973, 6374, 17, 34238, 4500, 18, 986, 2158, 18, 23409, 290, 28563, 5981, 30733, 282, 15959, 27148, 18, 29959, 297, 2272, 31036, 281, 23201, 9314, 11917, 6906, 3679, 434, 9163, 906, 45058, 282, 8455, 1045, 567, 808, 16475, 1816, 24125, 368, 282, 30497, 2230, 600, 274, 282, 1912, 4017, 360, 14397, 5619, 16, 282, 970, 575, 15095, 30895, 6797, 263, 16, 374, 289, 5600, 8046, 23201, 6379, 1671, 364, 289, 11625, 404, 2596, 17967, 16, 10050, 47432, 34212, 1368, 16, 2197, 411, 12137, 5981, 18, 49865, 15833, 16, 374, 5189, 31036, 4835, 3206, 3848, 281, 23126, 31036, 12152, 1631, 16, 367, 322, 322, 27647, 7450, 613, 510, 367, 16, 2862, 16, 1021, 49470, 535, 2051, 49693, 3005, 12848, 14536, 20770, 1033, 2455, 4500, 18, 986, 2158, 18, 2949, 4941, 523, 2719, 22352, 898, 27601, 30387, 17868, 16, 8997, 1453, 282, 453, 24941, 5762, 300, 1528, 604, 680, 23648, 16, 2536, 7958, 22950, 9305, 19738, 18, 889, 6411, 16, 6881, 15095, 1340, 16, 374, 12697, 978, 21906, 14304, 12423, 639, 9245, 281, 25875, 9578, 1512, 282, 803, 9804, 41470, 16400, 18, 11333, 19946, 548, 16, 5920, 1453, 282, 30497, 16, 29039, 309, 502, 16, 374, 2496, 1512, 898, 37854, 309, 8334, 7018, 510, 27356, 355, 16, 2303, 1014, 289, 42321, 18, 4794, 45327, 8912, 2625, 16, 374, 13386, 1749, 6885, 312, 4110, 411, 20770, 8396, 309, 3610, 4500, 18, 986, 3255, 16, 828, 25399, 4419, 18, 478, 48048, 3968, 2636, 26551, 783, 411, 20770, 14782, 16, 374, 43059, 670, 19020, 485, 381, 6328, 281, 28385, 3726, 5681, 20970, 5613, 30122, 4419, 16, 828, 25399, 3229, 18, 889, 32151, 281, 11526, 5681, 19020, 982, 15463, 353, 1033, 28944, 42782, 1512, 411, 20770, 910, 510, 9848, 472, 13426, 5871, 16, 9004, 262, 2128, 1136, 2414, 411, 18847, 3841, 36494, 2467, 718, 2802, 551, 285, 871, 473, 26404, 814, 49865, 2697, 11680, 282, 970, 16, 374, 10896, 31036, 6497, 7826, 18, 2320, 2753, 979, 13772, 16478, 1421, 4966, 18, 365, 30680, 745, 9112, 24958, 309, 7872, 27928, 411, 370, 28946, 16282, 324, 289, 11461, 653, 6507, 25487, 2682, 510, 745, 10842, 8659, 16, 785, 4421, 473, 1825, 968, 16, 3482, 16871, 282, 1169, 12942, 1018, 13, 4722, 445, 11060, 709, 37643, 33299, 5839, 18, 2949, 924, 16, 24737, 10258, 25487, 3271, 18111, 16, 5920, 1378, 329, 22352, 18, 5333, 2175, 16, 773, 3225, 9025, 16, 374, 10896, 31036, 895, 33996, 1281, 25, 4500, 18, 986, 18, 3791, 7193, 35708, 816, 40, 17, 277, 14159, 31036, 289, 13282, 3221, 26446, 8825, 281, 4778, 36581, 14362, 3746, 14135, 1512, 18, 6315, 420, 885, 12734, 16, 18752, 4144, 1018, 289, 28790, 17009, 2766, 6985, 309, 502, 16, 374, 28928, 21922, 3848, 9914, 6241, 5638, 1147, 16, 367, 322, 322, 27647, 7450, 1159, 18, 17232, 1871, 9803, 290, 42782, 1631, 411, 20770, 18, 6373, 411, 1129, 31999, 16, 374, 20132, 1749, 4732, 42346, 6885, 27987, 2364, 4317, 17, 5737, 4500, 18, 986, 2158, 18, 34889, 510, 374, 289, 519, 978, 16, 2364, 13435, 17, 39775, 4500, 18, 986, 2158, 16, 13768, 3463, 1512, 726, 6330, 3882, 831, 326, 1767, 349, 13952, 20770, 18, 2046, 10924, 4775, 25725, 20709, 289, 1033, 25319, 26551, 1437, 16, 367, 19020, 509, 8825, 10201, 16, 374, 1749, 289, 322, 27647, 7450, 873, 3005, 34138, 282, 474, 1505, 2630, 309, 2923, 5538, 1033, 28032, 4500, 18, 986, 2158, 18, 16424, 1276, 343, 3007, 5252, 5024, 290, 1033, 25319, 26551, 4678, 18, 478, 1358, 3684, 16, 481, 11723, 18, 608, 813, 912, 12152, 6974, 44831, 28928, 411, 16145, 16, 289, 722, 29410, 3942, 1336, 4703, 3255, 16, 828, 942, 639, 14513, 910, 510, 49644, 1276, 454, 9004, 262, 2128, 1136, 2414, 6260, 6939, 1285, 267, 411, 5014, 29595, 7779, 718 ]
[ 7377, 282, 1789, 22528, 913, 18, 2046, 492, 29487, 953, 4850, 968, 281, 10744, 353, 16, 374, 28928, 9914, 1717, 1021, 49470, 535, 2051, 49693, 30, 16447, 8634, 481, 21447, 16, 322, 12113, 309, 4082, 1143, 1329, 16, 3235, 2059, 31036, 18, 385, 2733, 575, 15174, 678, 895, 39813, 289, 15504, 17, 1796, 1055, 322, 1210, 10650, 11074, 6215, 1147, 4432, 18, 457, 9984, 4611, 6939, 1285, 507, 24445, 289, 2393, 24737, 18, 1236, 14669, 2414, 49257, 39544, 321, 411, 8027, 19495, 7474, 718, 7377, 10050, 16, 374, 5189, 15245, 289, 20255, 4144, 1018, 28433, 975, 11771, 478, 13192, 6390, 861, 478, 5801, 481, 349, 865, 35, 3492, 3365, 16, 510, 2548, 492, 18, 510, 640, 2218, 2193, 16, 481, 3655, 1244, 2696, 6241, 865, 18, 629, 3684, 16, 828, 1143, 43363, 656, 18515, 16, 867, 1143, 7967, 16, 5870, 6577, 286, 685, 1379, 12556, 5862, 3971, 861, 20158, 20149, 9052, 11660, 25108, 16, 515, 4686, 8123, 4310, 33115, 14738, 21790, 1276, 454, 289, 14090, 1423, 6830, 11343, 15122, 18, 19209, 10403, 297, 1921, 411, 17461, 7884, 381, 3182, 1631, 35902, 31947, 19971, 343, 10050, 16, 374, 16, 827, 25487, 7434, 834, 324, 16, 502, 1276, 343, 1139, 478, 748, 26572, 27204, 7124, 470, 510, 678, 14782, 16, 374, 13386, 1749, 11451, 6885, 312, 4110, 411, 20770, 16, 1833, 334, 322, 2811, 5910, 34291, 5765, 309, 17644, 883, 19205, 18, 996, 16, 745, 6405, 12978, 5760, 17, 5493, 24, 4500, 18, 986, 2158, 16, 785, 27488, 685, 1033, 1399, 13402, 16, 515, 41008, 326, 16, 785, 492, 1858, 1559, 3882, 897, 16530, 16, 41988, 9004, 262, 2128, 1136, 2414, 27956, 18309, 411, 14671, 48780, 718, 7377, 18, 365, 7847, 1045, 9004, 5394, 1340, 18700, 1624, 374, 1749, 46336, 326, 5347, 17048, 726, 7593, 4500, 18, 986, 2158, 18, 889, 3225, 4897, 4426, 44025, 16812, 4941, 523, 16, 5920, 1378, 282, 49072, 309, 44763, 4468, 4938, 17, 732, 11804, 446, 764, 282, 11847, 17, 292, 6206, 18, 365, 7520, 1045, 294, 22011, 1276, 1876, 23621, 15077, 30387, 19946, 548, 289, 28278, 7018, 18, 29658, 10896, 1276, 368, 685, 4217, 286, 282, 1156, 4500, 18, 986, 16, 2686, 16, 5938, 12821, 4090, 11806, 16, 773, 322, 2619, 7593, 4500, 18, 986, 18, 889, 3225, 12369, 281, 3195, 24102, 4295, 353, 1208, 3773, 434, 25487, 2682, 16, 14022, 16764, 49889, 6846, 16, 15653, 1734, 282, 3198, 32433, 24774, 18, 1303, 28278, 35248, 30019, 1116, 16323, 5067, 18, 4756, 25399, 16, 374, 1749, 282, 23177, 7134, 2364, 1156, 4500, 18, 986, 2158, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1939, 6568, 779, 26062, 16, 961, 4247, 2990, 309, 14874, 21542, 3451, 309, 24227, 23470, 16, 8070, 322, 16520, 28404, 16, 753, 34955, 7814, 12565, 349, 40134, 17, 39698, 1924, 6196, 18, 824, 4734, 11944, 16, 481, 8350, 31571, 541, 4186, 4126, 7358, 12806, 1437, 18, 15066, 22517, 4871, 5738, 7650, 16872, 16934, 2407, 18, 31224, 30, 17394, 3252, 548, 16653, 26769, 2407, 7650, 282, 3556, 15016, 15301, 32093, 4871, 5738, 16, 1029, 281, 1939, 6568, 779, 4360, 22360, 1175, 16, 41943, 2990, 309, 14874, 23371, 14600, 309, 40134, 17, 39698, 1924, 6196, 16, 322, 16520, 6549, 16, 8912, 19285, 7814, 329, 1129, 12565, 334, 27926, 23470, 18, 14654, 322, 3419, 290, 970, 16, 753, 26095, 20858, 334, 23470, 670, 4806, 20689, 697, 18, 365, 31595, 27810, 5510, 290, 970, 16, 374, 478, 42167, 440, 3451, 322, 49378, 22360, 371, 9423, 329, 1129, 8297, 1734, 38973, 5583, 282, 1568, 668, 3941, 6652, 536, 1069, 496, 1218, 1041, 9439, 24966, 334, 27926, 17374, 14031, 289, 40368, 5117, 16, 1586, 38751, 349, 2849, 322, 1033, 828, 1421, 7426, 779, 861, 478, 46383, 1066, 290, 9423, 329, 2954, 1574, 24966, 4831, 27898, 2891, 28912, 4433, 4551, 670, 1827, 304, 717, 3732, 773, 22718, 10047, 411, 2926, 910, 510, 5130, 282, 16152, 5738, 18, 478, 16676, 1800, 20093, 326, 2734, 520, 322, 309, 1272, 779, 16, 309, 430, 3612, 1939, 6568, 779, 35, 439, 1548, 16, 374, 44990, 1511, 9383, 4461, 40134, 17, 39698, 2009, 10036, 473, 12039, 563, 23470, 13, 764, 282, 6409, 3538, 322, 7601, 455, 910, 510, 10824, 9128, 11050, 7920, 528, 822, 334, 14601, 416, 12384, 289, 40134, 17, 39698, 9885, 45085, 16934, 8973, 1241, 2147, 512, 18, 5181, 16, 289, 1800, 28308, 14417, 14123, 416, 13988, 18, 37188, 10824, 16, 2710, 5169, 4247, 2990, 41523, 309, 39288, 18, 478, 37653, 525, 6956, 16, 329, 1754, 11608, 309, 40134, 17, 39698, 1924, 6196, 282, 6099, 360, 5791, 6245, 7267, 16, 3057, 16, 282, 3507, 481, 1533, 9, 22184, 16, 367, 334, 1175, 5163, 2911, 3405, 9, 22184, 473, 296, 604, 2232, 35037, 15046, 12670, 934, 895, 41523, 309, 39288, 910, 510, 4848, 18290, 478, 32485, 18, 8381, 861, 824, 3163, 1241, 2147, 3583, 16, 282, 5344, 4498, 3419, 290, 42742, 281, 36471, 2164, 23472, 16, 367, 1038, 38022, 432, 18, 2667, 13595, 5738, 745, 2125, 898, 7557, 445, 282, 5270, 4776, 16520, 28404, 16, 8912, 19285, 16, 374, 329, 1129, 26838, 20858, 309, 14601, 448, 289, 48458, 6196, 18, 4338, 3003, 290, 29860, 670, 37003, 282, 21542, 3451, 14963, 282, 3178, 1533, 7898, 2868, 16, 13744, 12189, 15757, 3463, 38325, 1354, 1367, 30431, 7822, 718, 15472, 10435, 473, 41670, 1182, 13, 36710, 4377, 9852, 18, 817, 1038, 5692, 16, 374, 21542, 4879, 8134, 267, 3108, 309, 5270, 4776, 16, 1011, 1660, 5067, 1513, 16769, 15542, 8348, 289, 11446, 6702, 18, 478, 684, 825, 481, 1513, 35, 608, 813, 912, 528, 20101, 23470, 16, 567, 3725, 15209, 2926, 16, 988, 10986, 3744, 2444, 16, 912, 520, 329, 1512, 20858, 670, 1003, 18, 4950, 1139, 334, 11410, 19290, 7544, 4050, 20893, 910, 510, 5692, 1241, 2147, 512, 18, 478, 21393, 13228, 16, 785, 14429, 520, 17034, 3018, 309, 14874, 21542, 5055, 309, 24227, 5117, 23470, 411, 14918, 431, 15406, 42006, 6271, 16, 2703, 1267, 2339, 2709, 8208, 448, 5024, 381, 34059, 329, 1129, 690, 5868, 18, 7594, 14322, 19108, 334, 22463, 4971, 6710, 289, 34955, 7814, 24966, 910, 510, 45378, 309, 3614, 16934, 1694, 11050, 16653, 22708, 49181, 13463, 884, 18, 14998, 9058, 16934, 1038, 14676, 2904, 16, 374, 4498, 3419, 290, 2567, 19084, 292, 2954, 16, 428, 2950, 31787, 7050, 5169, 289, 14346, 485, 9501, 1952, 18, 2877, 4831, 27898, 2891, 28912, 2407, 670, 1827, 304, 717, 3732, 773, 22718, 7557, 2125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7377, 282, 1789, 22528, 913, 18, 2046, 492, 29487, 953, 4850, 968, 281, 10744, 353, 16, 374, 28928, 9914, 1717, 1021, 49470, 535, 2051, 49693, 30, 16447, 8634, 481, 21447, 16, 322, 12113, 309, 4082, 1143, 1329, 16, 3235, 2059, 31036, 18, 385, 2733, 575, 15174, 678, 895, 39813, 289, 15504, 17, 1796, 1055, 322, 1210, 10650, 11074, 6215, 1147, 4432, 18, 457, 9984, 4611, 6939, 1285, 507, 24445, 289, 2393, 24737, 18, 1236, 14669, 2414, 49257, 39544, 321, 411, 8027, 19495, 7474, 718, 7377, 10050, 16, 374, 5189, 15245, 289, 20255, 4144, 1018, 28433, 975, 11771, 478, 13192, 6390, 861, 478, 5801, 481, 349, 865, 35, 3492, 3365, 16, 510, 2548, 492, 18, 510, 640, 2218, 2193, 16, 481, 3655, 1244, 2696, 6241, 865, 18, 629, 3684, 16, 828, 1143, 43363, 656, 18515, 16, 867, 1143, 7967, 16, 5870, 6577, 286, 685, 1379, 12556, 5862, 3971, 861, 20158, 20149, 9052, 11660, 25108, 16, 515, 4686, 8123, 4310, 33115, 14738, 21790, 1276, 454, 289, 14090, 1423, 6830, 11343, 15122, 18, 19209, 10403, 297, 1921, 411, 17461, 7884, 381, 3182, 1631, 35902, 31947, 19971, 343, 10050, 16, 374, 16, 827, 25487, 7434, 834, 324, 16, 502, 1276, 343, 1139, 478, 748, 26572, 27204, 7124, 470, 510, 678, 14782, 16, 374, 13386, 1749, 11451, 6885, 312, 4110, 411, 20770, 16, 1833, 334, 322, 2811, 5910, 34291, 5765, 309, 17644, 883, 19205, 18, 996, 16, 745, 6405, 12978, 5760, 17, 5493, 24, 4500, 18, 986, 2158, 16, 785, 27488, 685, 1033, 1399, 13402, 16, 515, 41008, 326, 16, 785, 492, 1858, 1559, 3882, 897, 16530, 16, 41988, 9004, 262, 2128, 1136, 2414, 27956, 18309, 411, 14671, 48780, 718, 7377, 18, 365, 7847, 1045, 9004, 5394, 1340, 18700, 1624, 374, 1749, 46336, 326, 5347, 17048, 726, 7593, 4500, 18, 986, 2158, 18, 889, 3225, 4897, 4426, 44025, 16812, 4941, 523, 16, 5920, 1378, 282, 49072, 309, 44763, 4468, 4938, 17, 732, 11804, 446, 764, 282, 11847, 17, 292, 6206, 18, 365, 7520, 1045, 294, 22011, 1276, 1876, 23621, 15077, 30387, 19946, 548, 289, 28278, 7018, 18, 29658, 10896, 1276, 368, 685, 4217, 286, 282, 1156, 4500, 18, 986, 16, 2686, 16, 5938, 12821, 4090, 11806, 16, 773, 322, 2619, 7593, 4500, 18, 986, 18, 889, 3225, 12369, 281, 3195, 24102, 4295, 353, 1208, 3773, 434, 25487, 2682, 16, 14022, 16764, 49889, 6846, 16, 15653, 1734, 282, 3198, 32433, 24774, 18, 1303, 28278, 35248, 30019, 1116, 16323, 5067, 18, 4756, 25399, 16, 374, 1749, 282, 23177, 7134, 2364, 1156, 4500, 18, 986, 2158, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1939, 6568, 779, 26062, 16, 961, 4247, 2990, 309, 14874, 21542, 3451, 309, 24227, 23470, 16, 8070, 322, 16520, 28404, 16, 753, 34955, 7814, 12565, 349, 40134, 17, 39698, 1924, 6196, 18, 824, 4734, 11944, 16, 481, 8350, 31571, 541, 4186, 4126, 7358, 12806, 1437, 18, 15066, 22517, 4871, 5738, 7650, 16872, 16934, 2407, 18, 31224, 30, 17394, 3252, 548, 16653, 26769, 2407, 7650, 282, 3556, 15016, 15301, 32093, 4871, 5738, 16, 1029, 281, 1939, 6568, 779, 4360, 22360, 1175, 16, 41943, 2990, 309, 14874, 23371, 14600, 309, 40134, 17, 39698, 1924, 6196, 16, 322, 16520, 6549, 16, 8912, 19285, 7814, 329, 1129, 12565, 334, 27926, 23470, 18, 14654, 322, 3419, 290, 970, 16, 753, 26095, 20858, 334, 23470, 670, 4806, 20689, 697, 18, 365, 31595, 27810, 5510, 290, 970, 16, 374, 478, 42167, 440, 3451, 322, 49378, 22360, 371, 9423, 329, 1129, 8297, 1734, 38973, 5583, 282, 1568, 668, 3941, 6652, 536, 1069, 496, 1218, 1041, 9439, 24966, 334, 27926, 17374, 14031, 289, 40368, 5117, 16, 1586, 38751, 349, 2849, 322, 1033, 828, 1421, 7426, 779, 861, 478, 46383, 1066, 290, 9423, 329, 2954, 1574, 24966, 4831, 27898, 2891, 28912, 4433, 4551, 670, 1827, 304, 717, 3732, 773, 22718, 10047, 411, 2926, 910, 510, 5130, 282, 16152, 5738, 18, 478, 16676, 1800, 20093, 326, 2734, 520, 322, 309, 1272, 779, 16, 309, 430, 3612, 1939, 6568, 779, 35, 439, 1548, 16, 374, 44990, 1511, 9383, 4461, 40134, 17, 39698, 2009, 10036, 473, 12039, 563, 23470, 13, 764, 282, 6409, 3538, 322, 7601, 455, 910, 510, 10824, 9128, 11050, 7920, 528, 822, 334, 14601, 416, 12384, 289, 40134, 17, 39698, 9885, 45085, 16934, 8973, 1241, 2147, 512, 18, 5181, 16, 289, 1800, 28308, 14417, 14123, 416, 13988, 18, 37188, 10824, 16, 2710, 5169, 4247, 2990, 41523, 309, 39288, 18, 478, 37653, 525, 6956, 16, 329, 1754, 11608, 309, 40134, 17, 39698, 1924, 6196, 282, 6099, 360, 5791, 6245, 7267, 16, 3057, 16, 282, 3507, 481, 1533, 9, 22184, 16, 367, 334, 1175, 5163, 2911, 3405, 9, 22184, 473, 296, 604, 2232, 35037, 15046, 12670, 934, 895, 41523, 309, 39288, 910, 510, 4848, 18290, 478, 32485, 18, 8381, 861, 824, 3163, 1241, 2147, 3583, 16, 282, 5344, 4498, 3419, 290, 42742, 281, 36471, 2164, 23472, 16, 367, 1038, 38022, 432, 18, 2667, 13595, 5738, 745, 2125, 898, 7557, 445, 282, 5270, 4776, 16520, 28404, 16, 8912, 19285, 16, 374, 329, 1129, 26838, 20858, 309, 14601, 448, 289, 48458, 6196, 18, 4338, 3003, 290, 29860, 670, 37003, 282, 21542, 3451, 14963, 282, 3178, 1533, 7898, 2868, 16, 13744, 12189, 15757, 3463, 38325, 1354, 1367, 30431, 7822, 718, 15472, 10435, 473, 41670, 1182, 13, 36710, 4377, 9852, 18, 817, 1038, 5692, 16, 374, 21542, 4879, 8134, 267, 3108, 309, 5270, 4776, 16, 1011, 1660, 5067, 1513, 16769, 15542, 8348, 289, 11446, 6702, 18, 478, 684, 825, 481, 1513, 35, 608, 813, 912, 528, 20101, 23470, 16, 567, 3725, 15209, 2926, 16, 988, 10986, 3744, 2444, 16, 912, 520, 329, 1512, 20858, 670, 1003, 18, 4950, 1139, 334, 11410, 19290, 7544, 4050, 20893, 910, 510, 5692, 1241, 2147, 512, 18, 478, 21393, 13228, 16, 785, 14429, 520, 17034, 3018, 309, 14874, 21542, 5055, 309, 24227, 5117, 23470, 411, 14918, 431, 15406, 42006, 6271, 16, 2703, 1267, 2339, 2709, 8208, 448, 5024, 381, 34059, 329, 1129, 690, 5868, 18, 7594, 14322, 19108, 334, 22463, 4971, 6710, 289, 34955, 7814, 24966, 910, 510, 45378, 309, 3614, 16934, 1694, 11050, 16653, 22708, 49181, 13463, 884, 18, 14998, 9058, 16934, 1038, 14676, 2904, 16, 374, 4498, 3419, 290, 2567, 19084, 292, 2954, 16, 428, 2950, 31787, 7050, 5169, 289, 14346, 485, 9501, 1952, 18, 2877, 4831, 27898, 2891, 28912, 2407, 670, 1827, 304, 717, 3732, 773, 22718, 7557, 2125 ]
[ 1300, 22282, 282, 36508, 4666, 8915, 16, 961, 20006, 541, 13595, 4075, 290, 29860, 21542, 5055, 18, 478, 789, 1604, 1086, 360, 2954, 6549, 16, 36479, 32479, 8915, 16, 322, 24755, 910, 510, 10128, 282, 16152, 5738, 18, 478, 4670, 465, 3171, 5836, 16, 2826, 16, 1698, 31571, 2095, 4186, 4126, 7358, 21542, 5055, 18, 34900, 315, 502, 16, 374, 7441, 840, 7557, 1300, 22282, 23050, 4371, 16, 367, 322, 25640, 1576, 1731, 349, 2081, 758, 3755, 1082, 18, 20466, 16, 374, 895, 10416, 1558, 2204, 23992, 7358, 21542, 3451, 16, 481, 502, 16, 374, 282, 11755, 508, 464, 17415, 14057, 7358, 40591, 3352, 910, 510, 1109, 4377, 9852, 18, 824, 505, 3163, 16, 785, 322, 25696, 363, 44237, 16, 334, 5076, 1176, 26363, 1300, 3264, 1211, 16, 367, 2107, 19029, 4371, 16, 27376, 41944, 18779, 6901, 289, 29402, 552, 6321, 38987, 3352, 18, 37729, 31946, 822, 1038, 4725, 16, 374, 1568, 4360, 334, 15166, 28912, 8134, 267, 2666, 21542, 12671, 14426, 17446, 397, 9445, 626, 2854, 36819, 16, 374, 48686, 341, 11608, 309, 15771, 427, 4135, 289, 840, 24800, 5009, 11188, 744, 818, 37174, 24966, 282, 12893, 23470, 18, 365, 3781, 17, 9952, 3569, 938, 274, 478, 46088, 18, 8381, 470, 40530, 16, 374, 1568, 8350, 22360, 16, 18723, 6822, 309, 40236, 289, 23371, 349, 40134, 17, 39698, 1924, 6196, 16, 322, 34955, 16, 374, 329, 1129, 1003, 1218, 1041, 9439, 24966, 16, 773, 1143, 322, 1513, 840, 9038, 15743, 28404, 282, 42006, 289, 17446, 397, 9445, 626, 1587, 38530, 18, 478, 17810, 1709, 16, 6495, 1815, 21542, 12671, 16, 4371, 381, 34059, 2916, 11478, 869, 4163, 840, 9038, 1248, 6138, 528, 20101, 23470, 16, 367, 12181, 47787, 16, 14790, 2854, 8881, 16178, 16, 840, 687, 38973, 1779, 282, 3941, 49827, 10984, 18, 4922, 9427, 349, 28545, 281, 430, 3612, 1939, 6568, 779, 18, 5333, 2175, 656, 5285, 4030, 475, 19435, 46464, 477, 1963, 31263, 5117, 289, 41294, 2954, 360, 16302, 416, 23839, 5782, 910, 376, 16170, 282, 27246, 18, 967, 803, 16, 726, 477, 13111, 779, 16, 19048, 5695, 24669, 2675, 4433, 4551, 5134, 3003, 290, 970, 16, 374, 21542, 3451, 1747, 38712, 5170, 322, 22360, 16, 367, 14426, 349, 40134, 17, 39698, 1924, 6196, 31176, 11828, 289, 12627, 630, 18, 889, 8350, 9193, 19562, 1790, 4735, 1700, 21542, 5055, 289, 2961, 17471, 5040, 2338, 24529, 25708, 16, 34259, 282, 3569, 938, 263, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 16651, 2968, 1749, 475, 1143, 5788, 802, 309, 13423, 2837, 27045, 3352, 18, 608, 30465, 282, 12065, 482, 8214, 2001, 16, 13054, 1139, 1003, 1612, 289, 3775, 6494, 10959, 670, 282, 2540, 3789, 6713, 18, 2776, 1520, 382, 16, 5626, 16, 18595, 29721, 10191, 8649, 37221, 1809, 49127, 16, 282, 1754, 656, 31424, 18, 31224, 30, 6706, 10246, 481, 2438, 23285, 29969, 2188, 434, 3281, 23519, 16, 1029, 6330, 22572, 5252, 32806, 16, 6653, 16, 8667, 282, 3106, 18112, 15479, 3352, 18, 28497, 22178, 726, 322, 23042, 12581, 16454, 307, 13124, 428, 785, 17, 299, 18, 2877, 10711, 30263, 651, 481, 9187, 13423, 1901, 26980, 16, 961, 2125, 9823, 5863, 289, 2156, 12707, 39329, 475, 16, 374, 505, 15423, 18, 7594, 17573, 294, 13265, 49528, 20661, 3352, 289, 7677, 3306, 870, 25995, 349, 1807, 282, 6404, 6703, 18, 4635, 745, 29558, 16, 428, 656, 30198, 4371, 381, 13258, 14025, 18, 7070, 266, 1866, 1952, 473, 370, 14504, 1057, 25917, 15401, 444, 16, 11260, 2280, 2973, 349, 5362, 13, 15715, 1650, 7768, 23924, 19138, 1015, 8055, 309, 3560, 6548, 1247, 651, 988, 289, 428, 1381, 41407, 4371, 16, 753, 722, 11614, 16, 13585, 16, 753, 12165, 722, 2095, 322, 478, 8883, 751, 470, 1251, 1807, 349, 2904, 15829, 16, 753, 656, 322, 1783, 3467, 33711, 808, 289, 3402, 309, 1847, 27045, 18, 33301, 13433, 942, 3089, 282, 23700, 334, 7940, 2771, 582, 289, 13423, 10414, 18, 740, 17155, 266, 1866, 320, 4360, 2173, 11627, 10621, 16, 961, 322, 1494, 4903, 318, 411, 6866, 18, 824, 3163, 30236, 36891, 16, 18380, 2241, 44891, 25064, 48, 1913, 16, 25044, 309, 6266, 478, 4743, 4927, 13848, 35623, 470, 10191, 7265, 24191, 587, 266, 4932, 427, 1251, 3504, 9364, 289, 14002, 17, 285, 4708, 355, 16, 670, 1251, 14358, 6660, 353, 2241, 16, 329, 1639, 1617, 5693, 294, 38397, 18, 23979, 9487, 281, 19526, 17155, 266, 1866, 2477, 19422, 318, 289, 22592, 935, 322, 41359, 7309, 16, 367, 2862, 1698, 34298, 33975, 519, 14314, 15678, 42016, 16, 961, 322, 1494, 1904, 7649, 802, 282, 39814, 16, 515, 371, 803, 13054, 14963, 41229, 3003, 18, 4922, 6295, 42100, 324, 567, 48836, 25179, 6587, 16, 289, 1441, 35661, 12863, 13103, 290, 970, 16, 374, 17113, 28889, 799, 16748, 2826, 1882, 15715, 17899, 43307, 15766, 16, 895, 953, 8297, 286, 18, 7070, 266, 1866, 1952, 4090, 11358, 19034, 428, 15929, 6856, 7489, 651, 15559, 281, 12957, 454, 360, 49912, 34101, 651, 12597, 2514, 6974, 18, 2320, 36893, 2406, 281, 48862, 670, 18198, 23202, 541, 5981, 18, 459, 1055, 2193, 33176, 3201, 1321, 14127, 309, 13421, 4600, 670, 7389, 871, 16, 27341, 17155, 29356, 17777, 31543, 1211, 5510, 30125, 15226, 16, 13639, 2712, 16, 4080, 2175, 2650, 15773, 289, 428, 2693, 5702, 282, 3709, 9524, 18, 44747, 320, 37090, 1862, 1066, 5625, 12449, 309, 18614, 425, 22150, 289, 10047, 27639, 14036, 4202, 4947, 19177, 434, 469, 5927, 507, 18, 439, 2512, 16, 424, 2089, 27639, 14036, 46029, 2444, 30950, 16, 289, 1382, 431, 3590, 345, 17, 41359, 285, 895, 4641, 16, 428, 575, 33176, 13442, 309, 2456, 2463, 26865, 4788, 670, 19908, 266, 30, 374, 11091, 435, 505, 2904, 282, 4698, 3678, 16, 428, 6448, 10042, 2193, 371, 24876, 3217, 670, 8496, 8266, 16, 3176, 1612, 1135, 39308, 309, 502, 753, 3089, 16, 3057, 16, 29310, 282, 4772, 17, 35889, 16, 289, 3176, 11893, 432, 6529, 1385, 26980, 670, 6623, 368, 492, 371, 803, 8364, 1549, 334, 5595, 18, 17896, 11502, 2900, 5981, 4362, 3084, 9187, 3322, 23924, 4760, 541, 20135, 34450, 17656, 718, 21823, 18, 7907, 842, 318, 16, 961, 45631, 2904, 15829, 282, 1500, 670, 8496, 2083, 1612, 16, 7872, 28123, 12449, 16, 3539, 12446, 850, 2774, 289, 5502, 1888, 14006, 651, 4266, 381, 10421, 4357, 4349, 33176, 3201, 1321, 18, 824, 39424, 48901, 30125, 2147, 17155, 266, 1866, 320, 13639, 2712, 7925, 15355, 16, 29293, 16, 27244, 46872, 18, 5333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1300, 22282, 282, 36508, 4666, 8915, 16, 961, 20006, 541, 13595, 4075, 290, 29860, 21542, 5055, 18, 478, 789, 1604, 1086, 360, 2954, 6549, 16, 36479, 32479, 8915, 16, 322, 24755, 910, 510, 10128, 282, 16152, 5738, 18, 478, 4670, 465, 3171, 5836, 16, 2826, 16, 1698, 31571, 2095, 4186, 4126, 7358, 21542, 5055, 18, 34900, 315, 502, 16, 374, 7441, 840, 7557, 1300, 22282, 23050, 4371, 16, 367, 322, 25640, 1576, 1731, 349, 2081, 758, 3755, 1082, 18, 20466, 16, 374, 895, 10416, 1558, 2204, 23992, 7358, 21542, 3451, 16, 481, 502, 16, 374, 282, 11755, 508, 464, 17415, 14057, 7358, 40591, 3352, 910, 510, 1109, 4377, 9852, 18, 824, 505, 3163, 16, 785, 322, 25696, 363, 44237, 16, 334, 5076, 1176, 26363, 1300, 3264, 1211, 16, 367, 2107, 19029, 4371, 16, 27376, 41944, 18779, 6901, 289, 29402, 552, 6321, 38987, 3352, 18, 37729, 31946, 822, 1038, 4725, 16, 374, 1568, 4360, 334, 15166, 28912, 8134, 267, 2666, 21542, 12671, 14426, 17446, 397, 9445, 626, 2854, 36819, 16, 374, 48686, 341, 11608, 309, 15771, 427, 4135, 289, 840, 24800, 5009, 11188, 744, 818, 37174, 24966, 282, 12893, 23470, 18, 365, 3781, 17, 9952, 3569, 938, 274, 478, 46088, 18, 8381, 470, 40530, 16, 374, 1568, 8350, 22360, 16, 18723, 6822, 309, 40236, 289, 23371, 349, 40134, 17, 39698, 1924, 6196, 16, 322, 34955, 16, 374, 329, 1129, 1003, 1218, 1041, 9439, 24966, 16, 773, 1143, 322, 1513, 840, 9038, 15743, 28404, 282, 42006, 289, 17446, 397, 9445, 626, 1587, 38530, 18, 478, 17810, 1709, 16, 6495, 1815, 21542, 12671, 16, 4371, 381, 34059, 2916, 11478, 869, 4163, 840, 9038, 1248, 6138, 528, 20101, 23470, 16, 367, 12181, 47787, 16, 14790, 2854, 8881, 16178, 16, 840, 687, 38973, 1779, 282, 3941, 49827, 10984, 18, 4922, 9427, 349, 28545, 281, 430, 3612, 1939, 6568, 779, 18, 5333, 2175, 656, 5285, 4030, 475, 19435, 46464, 477, 1963, 31263, 5117, 289, 41294, 2954, 360, 16302, 416, 23839, 5782, 910, 376, 16170, 282, 27246, 18, 967, 803, 16, 726, 477, 13111, 779, 16, 19048, 5695, 24669, 2675, 4433, 4551, 5134, 3003, 290, 970, 16, 374, 21542, 3451, 1747, 38712, 5170, 322, 22360, 16, 367, 14426, 349, 40134, 17, 39698, 1924, 6196, 31176, 11828, 289, 12627, 630, 18, 889, 8350, 9193, 19562, 1790, 4735, 1700, 21542, 5055, 289, 2961, 17471, 5040, 2338, 24529, 25708, 16, 34259, 282, 3569, 938, 263, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 16651, 2968, 1749, 475, 1143, 5788, 802, 309, 13423, 2837, 27045, 3352, 18, 608, 30465, 282, 12065, 482, 8214, 2001, 16, 13054, 1139, 1003, 1612, 289, 3775, 6494, 10959, 670, 282, 2540, 3789, 6713, 18, 2776, 1520, 382, 16, 5626, 16, 18595, 29721, 10191, 8649, 37221, 1809, 49127, 16, 282, 1754, 656, 31424, 18, 31224, 30, 6706, 10246, 481, 2438, 23285, 29969, 2188, 434, 3281, 23519, 16, 1029, 6330, 22572, 5252, 32806, 16, 6653, 16, 8667, 282, 3106, 18112, 15479, 3352, 18, 28497, 22178, 726, 322, 23042, 12581, 16454, 307, 13124, 428, 785, 17, 299, 18, 2877, 10711, 30263, 651, 481, 9187, 13423, 1901, 26980, 16, 961, 2125, 9823, 5863, 289, 2156, 12707, 39329, 475, 16, 374, 505, 15423, 18, 7594, 17573, 294, 13265, 49528, 20661, 3352, 289, 7677, 3306, 870, 25995, 349, 1807, 282, 6404, 6703, 18, 4635, 745, 29558, 16, 428, 656, 30198, 4371, 381, 13258, 14025, 18, 7070, 266, 1866, 1952, 473, 370, 14504, 1057, 25917, 15401, 444, 16, 11260, 2280, 2973, 349, 5362, 13, 15715, 1650, 7768, 23924, 19138, 1015, 8055, 309, 3560, 6548, 1247, 651, 988, 289, 428, 1381, 41407, 4371, 16, 753, 722, 11614, 16, 13585, 16, 753, 12165, 722, 2095, 322, 478, 8883, 751, 470, 1251, 1807, 349, 2904, 15829, 16, 753, 656, 322, 1783, 3467, 33711, 808, 289, 3402, 309, 1847, 27045, 18, 33301, 13433, 942, 3089, 282, 23700, 334, 7940, 2771, 582, 289, 13423, 10414, 18, 740, 17155, 266, 1866, 320, 4360, 2173, 11627, 10621, 16, 961, 322, 1494, 4903, 318, 411, 6866, 18, 824, 3163, 30236, 36891, 16, 18380, 2241, 44891, 25064, 48, 1913, 16, 25044, 309, 6266, 478, 4743, 4927, 13848, 35623, 470, 10191, 7265, 24191, 587, 266, 4932, 427, 1251, 3504, 9364, 289, 14002, 17, 285, 4708, 355, 16, 670, 1251, 14358, 6660, 353, 2241, 16, 329, 1639, 1617, 5693, 294, 38397, 18, 23979, 9487, 281, 19526, 17155, 266, 1866, 2477, 19422, 318, 289, 22592, 935, 322, 41359, 7309, 16, 367, 2862, 1698, 34298, 33975, 519, 14314, 15678, 42016, 16, 961, 322, 1494, 1904, 7649, 802, 282, 39814, 16, 515, 371, 803, 13054, 14963, 41229, 3003, 18, 4922, 6295, 42100, 324, 567, 48836, 25179, 6587, 16, 289, 1441, 35661, 12863, 13103, 290, 970, 16, 374, 17113, 28889, 799, 16748, 2826, 1882, 15715, 17899, 43307, 15766, 16, 895, 953, 8297, 286, 18, 7070, 266, 1866, 1952, 4090, 11358, 19034, 428, 15929, 6856, 7489, 651, 15559, 281, 12957, 454, 360, 49912, 34101, 651, 12597, 2514, 6974, 18, 2320, 36893, 2406, 281, 48862, 670, 18198, 23202, 541, 5981, 18, 459, 1055, 2193, 33176, 3201, 1321, 14127, 309, 13421, 4600, 670, 7389, 871, 16, 27341, 17155, 29356, 17777, 31543, 1211, 5510, 30125, 15226, 16, 13639, 2712, 16, 4080, 2175, 2650, 15773, 289, 428, 2693, 5702, 282, 3709, 9524, 18, 44747, 320, 37090, 1862, 1066, 5625, 12449, 309, 18614, 425, 22150, 289, 10047, 27639, 14036, 4202, 4947, 19177, 434, 469, 5927, 507, 18, 439, 2512, 16, 424, 2089, 27639, 14036, 46029, 2444, 30950, 16, 289, 1382, 431, 3590, 345, 17, 41359, 285, 895, 4641, 16, 428, 575, 33176, 13442, 309, 2456, 2463, 26865, 4788, 670, 19908, 266, 30, 374, 11091, 435, 505, 2904, 282, 4698, 3678, 16, 428, 6448, 10042, 2193, 371, 24876, 3217, 670, 8496, 8266, 16, 3176, 1612, 1135, 39308, 309, 502, 753, 3089, 16, 3057, 16, 29310, 282, 4772, 17, 35889, 16, 289, 3176, 11893, 432, 6529, 1385, 26980, 670, 6623, 368, 492, 371, 803, 8364, 1549, 334, 5595, 18, 17896, 11502, 2900, 5981, 4362, 3084, 9187, 3322, 23924, 4760, 541, 20135, 34450, 17656, 718, 21823, 18, 7907, 842, 318, 16, 961, 45631, 2904, 15829, 282, 1500, 670, 8496, 2083, 1612, 16, 7872, 28123, 12449, 16, 3539, 12446, 850, 2774, 289, 5502, 1888, 14006, 651, 4266, 381, 10421, 4357, 4349, 33176, 3201, 1321, 18, 824, 39424, 48901, 30125, 2147, 17155, 266, 1866, 320, 13639, 2712, 7925, 15355, 16, 29293, 16, 27244, 46872, 18, 5333 ]
[ 2175, 371, 3599, 978, 21906, 942, 8197, 8825, 19138, 1015, 26711, 11035, 16, 3057, 16, 2536, 3920, 7773, 27478, 15829, 18, 23979, 36512, 48346, 290, 1804, 28951, 16, 961, 31134, 28266, 309, 27045, 30, 282, 2710, 13189, 15826, 26092, 16, 16215, 9306, 5384, 670, 5977, 9072, 1954, 18, 365, 502, 575, 808, 13386, 4696, 334, 32974, 4760, 10842, 9038, 309, 20228, 15724, 20297, 281, 23673, 14217, 13360, 4674, 2607, 10445, 18, 28497, 17155, 266, 1866, 1952, 18839, 266, 318, 289, 6819, 318, 18, 5161, 16, 13180, 7063, 17155, 29356, 17777, 16, 11903, 434, 13328, 680, 11024, 786, 4166, 28379, 1624, 942, 3836, 322, 687, 282, 27482, 432, 16, 515, 289, 282, 40518, 4190, 18, 824, 3163, 30236, 45487, 47057, 411, 44891, 25064, 48, 1913, 16, 281, 14311, 2395, 9551, 17155, 266, 1866, 2477, 329, 15832, 680, 3463, 10012, 30683, 13438, 19636, 28123, 18, 889, 2805, 4748, 16, 827, 8166, 13363, 43438, 10270, 289, 1511, 23992, 4700, 17, 1796, 20306, 15100, 11329, 426, 512, 651, 1934, 8904, 712, 16, 27494, 291, 670, 45733, 6518, 30921, 16, 3057, 18, 608, 7592, 20159, 12529, 17155, 29356, 17777, 4360, 8197, 1382, 431, 3590, 345, 17, 464, 1262, 282, 50111, 541, 15829, 4190, 18, 24195, 15129, 41522, 19138, 1013, 309, 1634, 10355, 14309, 45568, 289, 24408, 1165, 282, 13939, 4190, 16, 374, 32748, 3400, 11666, 19315, 651, 1033, 11055, 24838, 847, 1717, 1543, 6295, 16, 282, 1754, 21215, 282, 10130, 1747, 16701, 874, 4788, 18, 365, 5975, 808, 17155, 266, 1866, 1952, 10191, 1033, 3772, 758, 18, 38433, 281, 36180, 34099, 27897, 16, 3279, 9727, 6178, 1617, 15284, 15832, 1133, 2241, 16, 13672, 478, 919, 25544, 470, 24803, 16, 3057, 16, 463, 3810, 980, 5652, 73, 349, 4843, 10257, 18, 23440, 45693, 662, 282, 40031, 12449, 651, 17155, 266, 1866, 1952, 541, 1810, 281, 6819, 758, 8578, 353, 18, 385, 11765, 29711, 289, 27257, 1254, 726, 5684, 939, 25758, 17475, 16, 289, 282, 26903, 6143, 24035, 28901, 670, 24035, 30334, 13859, 1854, 1886, 5600, 1512, 18, 1303, 3860, 13423, 1809, 3320, 35196, 8252, 21029, 541, 24035, 5209, 4171, 282, 3217, 575, 4996, 16, 428, 289, 541, 7658, 6867, 609, 18, 625, 3505, 783, 6867, 609, 16, 961, 813, 4715, 467, 16, 7332, 294, 2222, 16, 374, 541, 17155, 266, 1866, 2477, 23974, 1653, 1033, 36489, 12761, 16, 290, 2114, 3255, 942, 639, 17460, 687, 282, 10779, 1816, 29490, 2165, 18, 967, 1184, 4858, 341, 10895, 12449, 289, 13639, 2712, 7872, 28123, 289, 808, 42587, 16, 367, 2862, 870, 26891, 1698, 953, 27603, 541, 3594, 282, 12025, 4357, 2968, 18, 18197, 17241, 2241, 411, 23635, 26903, 726, 13458, 1867, 19138, 1013, 3594, 5362, 541, 9806, 9190, 18, 5454, 1485, 541, 21597, 2005, 30134, 293, 25716, 481, 5695, 9405, 3400, 651, 3057, 16, 12589, 11705, 382, 16, 961, 1698, 45814, 1717, 282, 970, 2468, 16, 2319, 282, 2089, 8427, 14127, 2193, 16, 670, 12356, 13423, 1924, 36533, 16, 961, 2178, 759, 5808, 322, 541, 1223, 22150, 16, 367, 541, 924, 12480, 16, 309, 2114, 9462, 4684, 2904, 19574, 18, 47475, 3594, 5362, 651, 481, 11840, 549, 12262, 16, 1586, 895, 282, 28227, 8830, 1805, 1512, 281, 41329, 22147, 18, 8985, 1480, 14955, 1631, 281, 33165, 38436, 7893, 2309, 541, 1110, 16, 1085, 3255, 685, 35760, 3775, 12993, 14833, 281, 4778, 5578, 670, 32665, 374, 17, 299, 6584, 18, 824, 3163, 11753, 6367, 9487, 16, 34073, 448, 37805, 477, 16686, 3250, 17155, 266, 1866, 4309, 282, 11970, 445, 20774, 828, 2350, 416, 27265, 320, 473, 433, 8938, 11265, 3003, 541, 2808, 17847, 3314, 1512, 814, 9098, 8578, 475, 764, 2702, 5520, 16, 2686, 697, 6134, 726, 12837, 309, 6579, 334, 7413, 281, 6502, 4496, 4075, 353, 16, 289, 942, 13446, 16, 374, 840, 3585, 11120, 289, 2915, 18, 49841, 2609, 3236, 294, 1335, 7435, 289, 9637, 651, 309, 5137, 17155, 266, 1866, 2477, 13458, 3236, 2926, 309, 13172, 541, 6684, 34411, 18, 1606, 10842, 986, 16854, 16, 3057, 16, 8526, 2153, 3300, 16, 1139, 29360, 309, 1710, 18, 15779, 617, 8886, 7435, 2489, 318, 16, 289, 281, 8864, 7760, 697, 4362, 475, 1143, 18, 27784, 671, 1340, 12547, 26014, 2309, 1541, 5368, 411, 16967, 13703, 6867, 609, 16, 961, 10339, 4364, 309, 5633, 13608, 289, 1715, 24277, 42103, 4371, 651, 1642, 16, 282, 26402, 16, 309, 3705, 18, 3911, 19916, 404, 2381, 19138, 1015, 764, 687, 10412, 28321, 3531, 5210, 16, 961, 16, 281, 2059, 1963, 16, 23871, 1299, 29085, 475, 6764, 4833, 18959, 282, 3352, 16, 367, 281, 2107, 651, 22769, 2926, 33125, 2005, 10392, 6150, 16, 322, 2700, 669, 4857, 8535, 22132, 1354, 289, 13416, 9939, 1631, 18, 740, 17613, 5808, 745, 726, 1314, 16, 49661, 289, 44054, 7987, 334, 17155, 266, 1866, 33423, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 2879, 19760, 2972, 416, 26631, 289, 9078, 9184, 5331, 9996, 309, 10296, 18, 1367, 803, 5130, 282, 41934, 378, 9407, 992, 16, 1435, 2840, 334, 8872, 29471, 19883, 718, 20691, 48072, 31793, 18, 39442, 7583, 27940, 309, 26854, 322, 7982, 30990, 16, 3542, 3055, 16, 374, 281, 8864, 12260, 3400, 26279, 5009, 3935, 18, 31224, 30, 677, 9937, 4874, 31679, 1162, 5767, 18113, 25716, 6897, 5538, 12026, 22833, 1066, 334, 12197, 554, 19883, 718, 20691, 48072, 31793, 478, 10245, 14262, 20854, 282, 7044, 289, 1907, 18533, 5767, 18113, 426, 355, 12755, 29201, 861, 985, 2815, 16353, 31793, 16, 282, 4675, 808, 424, 18534, 323, 29201, 6897, 5538, 6535, 1533, 2044, 18, 365, 697, 5630, 11926, 3771, 16, 24638, 363, 16, 13579, 427, 16, 22120, 746, 16, 24715, 9395, 289, 6980, 18, 6592, 7583, 2095, 6325, 16, 541, 31114, 28037, 6897, 5538, 1175, 2003, 16387, 411, 12670, 14471, 16, 478, 24015, 447, 10307, 19833, 5921, 287, 41399, 861, 365, 4810, 16, 15089, 22695, 43604, 14306, 9250, 2972, 416, 26631, 309, 10296, 289, 46025, 8314, 27803, 432, 26980, 18, 478, 618, 1265, 18113, 25716, 44603, 29487, 12760, 2407, 26606, 9047, 12670, 16, 961, 18127, 1867, 19833, 5921, 287, 41399, 16, 6895, 9047, 16, 18127, 10307, 3775, 8314, 9077, 289, 16249, 16, 367, 1038, 19760, 19641, 541, 33622, 2981, 282, 12760, 910, 510, 15875, 9337, 41934, 478, 15210, 861, 6592, 3479, 552, 16, 309, 1497, 45194, 15089, 22695, 13269, 11630, 9466, 13547, 309, 8447, 37515, 26980, 16, 25780, 541, 11630, 478, 406, 2314, 6876, 30430, 354, 470, 289, 13367, 27134, 541, 12717, 282, 12760 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2175, 371, 3599, 978, 21906, 942, 8197, 8825, 19138, 1015, 26711, 11035, 16, 3057, 16, 2536, 3920, 7773, 27478, 15829, 18, 23979, 36512, 48346, 290, 1804, 28951, 16, 961, 31134, 28266, 309, 27045, 30, 282, 2710, 13189, 15826, 26092, 16, 16215, 9306, 5384, 670, 5977, 9072, 1954, 18, 365, 502, 575, 808, 13386, 4696, 334, 32974, 4760, 10842, 9038, 309, 20228, 15724, 20297, 281, 23673, 14217, 13360, 4674, 2607, 10445, 18, 28497, 17155, 266, 1866, 1952, 18839, 266, 318, 289, 6819, 318, 18, 5161, 16, 13180, 7063, 17155, 29356, 17777, 16, 11903, 434, 13328, 680, 11024, 786, 4166, 28379, 1624, 942, 3836, 322, 687, 282, 27482, 432, 16, 515, 289, 282, 40518, 4190, 18, 824, 3163, 30236, 45487, 47057, 411, 44891, 25064, 48, 1913, 16, 281, 14311, 2395, 9551, 17155, 266, 1866, 2477, 329, 15832, 680, 3463, 10012, 30683, 13438, 19636, 28123, 18, 889, 2805, 4748, 16, 827, 8166, 13363, 43438, 10270, 289, 1511, 23992, 4700, 17, 1796, 20306, 15100, 11329, 426, 512, 651, 1934, 8904, 712, 16, 27494, 291, 670, 45733, 6518, 30921, 16, 3057, 18, 608, 7592, 20159, 12529, 17155, 29356, 17777, 4360, 8197, 1382, 431, 3590, 345, 17, 464, 1262, 282, 50111, 541, 15829, 4190, 18, 24195, 15129, 41522, 19138, 1013, 309, 1634, 10355, 14309, 45568, 289, 24408, 1165, 282, 13939, 4190, 16, 374, 32748, 3400, 11666, 19315, 651, 1033, 11055, 24838, 847, 1717, 1543, 6295, 16, 282, 1754, 21215, 282, 10130, 1747, 16701, 874, 4788, 18, 365, 5975, 808, 17155, 266, 1866, 1952, 10191, 1033, 3772, 758, 18, 38433, 281, 36180, 34099, 27897, 16, 3279, 9727, 6178, 1617, 15284, 15832, 1133, 2241, 16, 13672, 478, 919, 25544, 470, 24803, 16, 3057, 16, 463, 3810, 980, 5652, 73, 349, 4843, 10257, 18, 23440, 45693, 662, 282, 40031, 12449, 651, 17155, 266, 1866, 1952, 541, 1810, 281, 6819, 758, 8578, 353, 18, 385, 11765, 29711, 289, 27257, 1254, 726, 5684, 939, 25758, 17475, 16, 289, 282, 26903, 6143, 24035, 28901, 670, 24035, 30334, 13859, 1854, 1886, 5600, 1512, 18, 1303, 3860, 13423, 1809, 3320, 35196, 8252, 21029, 541, 24035, 5209, 4171, 282, 3217, 575, 4996, 16, 428, 289, 541, 7658, 6867, 609, 18, 625, 3505, 783, 6867, 609, 16, 961, 813, 4715, 467, 16, 7332, 294, 2222, 16, 374, 541, 17155, 266, 1866, 2477, 23974, 1653, 1033, 36489, 12761, 16, 290, 2114, 3255, 942, 639, 17460, 687, 282, 10779, 1816, 29490, 2165, 18, 967, 1184, 4858, 341, 10895, 12449, 289, 13639, 2712, 7872, 28123, 289, 808, 42587, 16, 367, 2862, 870, 26891, 1698, 953, 27603, 541, 3594, 282, 12025, 4357, 2968, 18, 18197, 17241, 2241, 411, 23635, 26903, 726, 13458, 1867, 19138, 1013, 3594, 5362, 541, 9806, 9190, 18, 5454, 1485, 541, 21597, 2005, 30134, 293, 25716, 481, 5695, 9405, 3400, 651, 3057, 16, 12589, 11705, 382, 16, 961, 1698, 45814, 1717, 282, 970, 2468, 16, 2319, 282, 2089, 8427, 14127, 2193, 16, 670, 12356, 13423, 1924, 36533, 16, 961, 2178, 759, 5808, 322, 541, 1223, 22150, 16, 367, 541, 924, 12480, 16, 309, 2114, 9462, 4684, 2904, 19574, 18, 47475, 3594, 5362, 651, 481, 11840, 549, 12262, 16, 1586, 895, 282, 28227, 8830, 1805, 1512, 281, 41329, 22147, 18, 8985, 1480, 14955, 1631, 281, 33165, 38436, 7893, 2309, 541, 1110, 16, 1085, 3255, 685, 35760, 3775, 12993, 14833, 281, 4778, 5578, 670, 32665, 374, 17, 299, 6584, 18, 824, 3163, 11753, 6367, 9487, 16, 34073, 448, 37805, 477, 16686, 3250, 17155, 266, 1866, 4309, 282, 11970, 445, 20774, 828, 2350, 416, 27265, 320, 473, 433, 8938, 11265, 3003, 541, 2808, 17847, 3314, 1512, 814, 9098, 8578, 475, 764, 2702, 5520, 16, 2686, 697, 6134, 726, 12837, 309, 6579, 334, 7413, 281, 6502, 4496, 4075, 353, 16, 289, 942, 13446, 16, 374, 840, 3585, 11120, 289, 2915, 18, 49841, 2609, 3236, 294, 1335, 7435, 289, 9637, 651, 309, 5137, 17155, 266, 1866, 2477, 13458, 3236, 2926, 309, 13172, 541, 6684, 34411, 18, 1606, 10842, 986, 16854, 16, 3057, 16, 8526, 2153, 3300, 16, 1139, 29360, 309, 1710, 18, 15779, 617, 8886, 7435, 2489, 318, 16, 289, 281, 8864, 7760, 697, 4362, 475, 1143, 18, 27784, 671, 1340, 12547, 26014, 2309, 1541, 5368, 411, 16967, 13703, 6867, 609, 16, 961, 10339, 4364, 309, 5633, 13608, 289, 1715, 24277, 42103, 4371, 651, 1642, 16, 282, 26402, 16, 309, 3705, 18, 3911, 19916, 404, 2381, 19138, 1015, 764, 687, 10412, 28321, 3531, 5210, 16, 961, 16, 281, 2059, 1963, 16, 23871, 1299, 29085, 475, 6764, 4833, 18959, 282, 3352, 16, 367, 281, 2107, 651, 22769, 2926, 33125, 2005, 10392, 6150, 16, 322, 2700, 669, 4857, 8535, 22132, 1354, 289, 13416, 9939, 1631, 18, 740, 17613, 5808, 745, 726, 1314, 16, 49661, 289, 44054, 7987, 334, 17155, 266, 1866, 33423, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 2879, 19760, 2972, 416, 26631, 289, 9078, 9184, 5331, 9996, 309, 10296, 18, 1367, 803, 5130, 282, 41934, 378, 9407, 992, 16, 1435, 2840, 334, 8872, 29471, 19883, 718, 20691, 48072, 31793, 18, 39442, 7583, 27940, 309, 26854, 322, 7982, 30990, 16, 3542, 3055, 16, 374, 281, 8864, 12260, 3400, 26279, 5009, 3935, 18, 31224, 30, 677, 9937, 4874, 31679, 1162, 5767, 18113, 25716, 6897, 5538, 12026, 22833, 1066, 334, 12197, 554, 19883, 718, 20691, 48072, 31793, 478, 10245, 14262, 20854, 282, 7044, 289, 1907, 18533, 5767, 18113, 426, 355, 12755, 29201, 861, 985, 2815, 16353, 31793, 16, 282, 4675, 808, 424, 18534, 323, 29201, 6897, 5538, 6535, 1533, 2044, 18, 365, 697, 5630, 11926, 3771, 16, 24638, 363, 16, 13579, 427, 16, 22120, 746, 16, 24715, 9395, 289, 6980, 18, 6592, 7583, 2095, 6325, 16, 541, 31114, 28037, 6897, 5538, 1175, 2003, 16387, 411, 12670, 14471, 16, 478, 24015, 447, 10307, 19833, 5921, 287, 41399, 861, 365, 4810, 16, 15089, 22695, 43604, 14306, 9250, 2972, 416, 26631, 309, 10296, 289, 46025, 8314, 27803, 432, 26980, 18, 478, 618, 1265, 18113, 25716, 44603, 29487, 12760, 2407, 26606, 9047, 12670, 16, 961, 18127, 1867, 19833, 5921, 287, 41399, 16, 6895, 9047, 16, 18127, 10307, 3775, 8314, 9077, 289, 16249, 16, 367, 1038, 19760, 19641, 541, 33622, 2981, 282, 12760, 910, 510, 15875, 9337, 41934, 478, 15210, 861, 6592, 3479, 552, 16, 309, 1497, 45194, 15089, 22695, 13269, 11630, 9466, 13547, 309, 8447, 37515, 26980, 16, 25780, 541, 11630, 478, 406, 2314, 6876, 30430, 354, 470, 289, 13367, 27134, 541, 12717, 282, 12760 ]
[ 281, 4256, 478, 660, 12647, 10096, 7540, 861, 365, 378, 9407, 992, 322, 7501, 3236, 16, 374, 7005, 41325, 10144, 5653, 779, 289, 37965, 10144, 5049, 779, 282, 1175, 478, 275, 5329, 7961, 414, 31895, 12885, 511, 691, 35579, 21385, 861, 2046, 41944, 20421, 16, 334, 4734, 42047, 11630, 16, 14694, 294, 2222, 16, 374, 478, 1961, 17743, 10144, 24915, 937, 19833, 5921, 287, 41399, 289, 322, 2745, 1475, 28037, 5743, 49880, 10144, 16, 11903, 536, 4199, 304, 5538, 861, 20601, 549, 2301, 41934, 28501, 17234, 5792, 18, 378, 9407, 992, 28296, 16, 374, 282, 1175, 478, 10524, 764, 13115, 470, 13607, 13228, 24807, 28375, 14824, 16, 15570, 5263, 282, 697, 4459, 289, 935, 32126, 18, 4874, 41849, 950, 11680, 16, 374, 21431, 28546, 289, 5921, 287, 5622, 597, 46065, 478, 283, 46702, 549, 40996, 10305, 470, 289, 478, 823, 4640, 292, 13485, 6457, 1195, 5792, 861, 3791, 15089, 22695, 43604, 9466, 478, 6781, 293, 1123, 468, 14412, 289, 11065, 7405, 9163, 2044, 16, 3229, 1223, 2567, 16, 428, 6980, 289, 2407, 861, 365, 7583, 27940, 9337, 6325, 4608, 9529, 309, 15183, 4745, 18, 824, 3163, 44241, 7583, 27940, 282, 5767, 18113, 15013, 20691, 37026, 24262, 10788, 16, 19186, 40271, 322, 4608, 10501, 1177, 20349, 428, 42995, 1880, 8348, 289, 322, 5273, 16, 374, 492, 13190, 1920, 309, 40043, 781, 2553, 282, 378, 9407, 992, 18, 1367, 803, 11309, 2815, 31090, 478, 1605, 2070, 4534, 861, 4874, 41849, 1502, 1038, 9299, 16, 374, 3400, 26279, 294, 7583, 20854, 282, 4101, 3142, 5009, 3935, 18, 23656, 1218, 441, 31679, 680, 17344, 3003, 378, 9407, 992, 27631, 18, 478, 1358, 6317, 16, 374, 289, 25850, 11919, 950, 6881, 428, 289, 417, 910, 510, 2815, 478, 46088, 18, 8381, 470, 3203, 9622, 15748, 4623, 478, 672, 287, 1790, 1743, 470, 9715, 6673, 900, 375, 18, 478, 1140, 813, 36186, 322, 12760, 1162, 16, 367, 4770, 1162, 16, 2391, 26631, 541, 813, 2141, 322, 6040, 282, 9803, 16, 515, 827, 1588, 6732, 3957, 16, 502, 4410, 840, 322, 1409, 16, 367, 1830, 373, 1061, 9, 910, 510, 2548, 23024, 18, 47976, 1742, 8501, 16, 1435, 2523, 5767, 18113, 426, 355, 16, 10398, 36219, 17234, 41158, 9542, 17597, 2709, 1349, 291, 16, 5920, 1378, 282, 21241, 16, 24638, 4172, 16, 15985, 289, 309, 4862, 18, 4149, 17360, 9368, 478, 6781, 27763, 2094, 2159, 24324, 281, 5173, 29978, 12760, 718, 8390, 349, 17036, 27898, 2891, 861, 2, 1, 87, 1456, 81, 2448, 30, 42, 9825, 8643, 21525, 6656, 1512, 16, 961, 1698, 19676, 17019, 541, 2241, 510, 349, 7396, 4935, 7771, 19423, 25901, 16, 282, 970, 2875, 31543, 2235, 697, 4497, 41061, 553, 18, 20405, 16, 374, 282, 478, 2378, 451, 470, 17597, 1698, 8662, 322, 687, 1382, 288, 1952, 16, 961, 8607, 24226, 5860, 17801, 282, 4459, 8752, 5324, 16, 515, 289, 24671, 8811, 10249, 18, 31224, 30, 677, 3998, 11826, 779, 17656, 10249, 21949, 21962, 4587, 8495, 282, 4459, 2236, 411, 45687, 2241, 282, 7044, 18, 478, 1295, 27461, 387, 475, 1300, 4603, 927, 910, 510, 6463, 1382, 15599, 282, 8752, 5324, 16, 1011, 1660, 13518, 3623, 10249, 360, 782, 1154, 505, 38484, 1066, 16, 4511, 3391, 16, 374, 492, 3164, 282, 3217, 575, 4008, 16, 988, 289, 8185, 16, 5076, 492, 8754, 300, 16, 289, 13349, 1154, 10786, 37972, 9597, 290, 25754, 48068, 18, 5333, 2175, 10249, 35765, 309, 10536, 11048, 16, 1586, 895, 45255, 722, 19790, 16, 8185, 395, 670, 24382, 16, 3110, 29861, 11539, 477, 7755, 309, 16644, 289, 24951, 9657, 2241, 18, 31886, 549, 10177, 8522, 30312, 349, 14678, 353, 16, 961, 13672, 309, 29205, 16, 289, 282, 3947, 5537, 6160, 6369, 46000, 4497, 41061, 1066, 1512, 281, 3195, 21271, 10249, 309, 13400, 399, 15101, 18, 1787, 978, 13518, 3623, 8643, 17190, 6656, 16, 1029, 7291, 478, 7148, 44081, 470, 2994, 15711, 1099, 22915, 3627, 16, 670, 951, 31693, 51, 65, 289, 6973, 3108, 445, 282, 5284, 18, 14155, 492, 685, 6065, 282, 5049, 1045, 16, 289, 309, 32995, 2083, 282, 1169, 912, 11875, 4335, 15455, 1512, 18, 42378, 282, 951, 31693, 51, 10787, 282, 965, 3499, 1631, 16, 505, 4863, 16, 46199, 289, 21951, 13378, 9080, 16, 334, 1754, 492, 7757, 282, 34491, 18, 4185, 8662, 282, 951, 31693, 51, 16, 2702, 49046, 10983, 281, 5263, 1134, 424, 7183, 2206, 12457, 8752, 5324, 16, 3057, 16, 6700, 35544, 23932, 1312, 1285, 41899, 486, 670, 8300, 2204, 5355, 8840, 45959, 271, 385, 16270, 10057, 18, 7793, 282, 6656, 47716, 3231, 1110, 1512, 16, 961, 282, 3178, 2518, 5708, 10485, 1612, 588, 34827, 15734, 5643, 352, 17, 277, 4013, 1018, 282, 4459, 2241, 16, 289, 3891, 3336, 25750, 289, 518, 16, 1085, 1139, 5301, 478, 4529, 5678, 694, 16, 9840, 470, 424, 10680, 306, 1312, 1285, 41899, 486, 18, 4824, 411, 11861, 29861, 39, 38, 4725, 16, 374, 282, 2241, 1003, 2490, 2035, 36310, 44846, 924, 16, 374, 8503, 17086, 20129, 16, 2391, 4075, 27137, 17111, 411, 19569, 15515, 18, 478, 39009, 13518, 3623, 4452, 541, 924, 16, 753, 8811, 10249, 898, 282, 3623, 18, 1606, 9843, 45809, 541, 26903, 7272, 16, 753, 31127, 289, 44645, 281, 7514, 758, 5263, 1134, 16, 1727, 13698, 1279, 3338, 6814, 289, 2759, 2241, 16, 367, 1038, 734, 25063, 2666, 1743, 11998, 536, 36587, 1624, 827, 481, 14495, 18, 608, 813, 912, 9799, 485, 20418, 16, 36645, 541, 6198, 371, 10347, 617, 1512, 16, 961, 24706, 1514, 20704, 289, 12384, 22429, 10249, 910, 510, 2815, 12117, 5854, 2241, 18, 5043, 16, 3888, 8811, 39768, 25156, 16, 374, 7272, 16, 18697, 1733, 282, 965, 2280, 9476, 349, 10287, 758, 25935, 3317, 16, 3929, 17992, 758, 16, 289, 13962, 1867, 697, 281, 478, 28211, 1757, 17722, 470, 411, 3806, 487, 412, 1290, 18, 7699, 1749, 14888, 3660, 289, 935, 322, 6597, 16, 374, 898, 20215, 1007, 282, 478, 1477, 451, 6656, 861, 9114, 986, 2158, 4322, 6851, 290, 970, 16, 374, 7757, 282, 951, 31693, 51, 16, 785, 5053, 309, 38186, 283, 477, 2200, 4413, 16, 1029, 5931, 282, 20352, 10249, 282, 11353, 435, 17, 16846, 582, 18, 817, 6558, 13049, 282, 3106, 20543, 16, 515, 16, 785, 492, 6181, 309, 449, 34769, 1235, 263, 16, 906, 3696, 2773, 29896, 18, 2320, 381, 7367, 1293, 32236, 16, 961, 322, 15111, 975, 6886, 2915, 18, 985, 12374, 10188, 16, 4322, 6181, 282, 951, 31693, 51, 1011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 4256, 478, 660, 12647, 10096, 7540, 861, 365, 378, 9407, 992, 322, 7501, 3236, 16, 374, 7005, 41325, 10144, 5653, 779, 289, 37965, 10144, 5049, 779, 282, 1175, 478, 275, 5329, 7961, 414, 31895, 12885, 511, 691, 35579, 21385, 861, 2046, 41944, 20421, 16, 334, 4734, 42047, 11630, 16, 14694, 294, 2222, 16, 374, 478, 1961, 17743, 10144, 24915, 937, 19833, 5921, 287, 41399, 289, 322, 2745, 1475, 28037, 5743, 49880, 10144, 16, 11903, 536, 4199, 304, 5538, 861, 20601, 549, 2301, 41934, 28501, 17234, 5792, 18, 378, 9407, 992, 28296, 16, 374, 282, 1175, 478, 10524, 764, 13115, 470, 13607, 13228, 24807, 28375, 14824, 16, 15570, 5263, 282, 697, 4459, 289, 935, 32126, 18, 4874, 41849, 950, 11680, 16, 374, 21431, 28546, 289, 5921, 287, 5622, 597, 46065, 478, 283, 46702, 549, 40996, 10305, 470, 289, 478, 823, 4640, 292, 13485, 6457, 1195, 5792, 861, 3791, 15089, 22695, 43604, 9466, 478, 6781, 293, 1123, 468, 14412, 289, 11065, 7405, 9163, 2044, 16, 3229, 1223, 2567, 16, 428, 6980, 289, 2407, 861, 365, 7583, 27940, 9337, 6325, 4608, 9529, 309, 15183, 4745, 18, 824, 3163, 44241, 7583, 27940, 282, 5767, 18113, 15013, 20691, 37026, 24262, 10788, 16, 19186, 40271, 322, 4608, 10501, 1177, 20349, 428, 42995, 1880, 8348, 289, 322, 5273, 16, 374, 492, 13190, 1920, 309, 40043, 781, 2553, 282, 378, 9407, 992, 18, 1367, 803, 11309, 2815, 31090, 478, 1605, 2070, 4534, 861, 4874, 41849, 1502, 1038, 9299, 16, 374, 3400, 26279, 294, 7583, 20854, 282, 4101, 3142, 5009, 3935, 18, 23656, 1218, 441, 31679, 680, 17344, 3003, 378, 9407, 992, 27631, 18, 478, 1358, 6317, 16, 374, 289, 25850, 11919, 950, 6881, 428, 289, 417, 910, 510, 2815, 478, 46088, 18, 8381, 470, 3203, 9622, 15748, 4623, 478, 672, 287, 1790, 1743, 470, 9715, 6673, 900, 375, 18, 478, 1140, 813, 36186, 322, 12760, 1162, 16, 367, 4770, 1162, 16, 2391, 26631, 541, 813, 2141, 322, 6040, 282, 9803, 16, 515, 827, 1588, 6732, 3957, 16, 502, 4410, 840, 322, 1409, 16, 367, 1830, 373, 1061, 9, 910, 510, 2548, 23024, 18, 47976, 1742, 8501, 16, 1435, 2523, 5767, 18113, 426, 355, 16, 10398, 36219, 17234, 41158, 9542, 17597, 2709, 1349, 291, 16, 5920, 1378, 282, 21241, 16, 24638, 4172, 16, 15985, 289, 309, 4862, 18, 4149, 17360, 9368, 478, 6781, 27763, 2094, 2159, 24324, 281, 5173, 29978, 12760, 718, 8390, 349, 17036, 27898, 2891, 861, 2, 1, 87, 1456, 81, 2448, 30, 42, 9825, 8643, 21525, 6656, 1512, 16, 961, 1698, 19676, 17019, 541, 2241, 510, 349, 7396, 4935, 7771, 19423, 25901, 16, 282, 970, 2875, 31543, 2235, 697, 4497, 41061, 553, 18, 20405, 16, 374, 282, 478, 2378, 451, 470, 17597, 1698, 8662, 322, 687, 1382, 288, 1952, 16, 961, 8607, 24226, 5860, 17801, 282, 4459, 8752, 5324, 16, 515, 289, 24671, 8811, 10249, 18, 31224, 30, 677, 3998, 11826, 779, 17656, 10249, 21949, 21962, 4587, 8495, 282, 4459, 2236, 411, 45687, 2241, 282, 7044, 18, 478, 1295, 27461, 387, 475, 1300, 4603, 927, 910, 510, 6463, 1382, 15599, 282, 8752, 5324, 16, 1011, 1660, 13518, 3623, 10249, 360, 782, 1154, 505, 38484, 1066, 16, 4511, 3391, 16, 374, 492, 3164, 282, 3217, 575, 4008, 16, 988, 289, 8185, 16, 5076, 492, 8754, 300, 16, 289, 13349, 1154, 10786, 37972, 9597, 290, 25754, 48068, 18, 5333, 2175, 10249, 35765, 309, 10536, 11048, 16, 1586, 895, 45255, 722, 19790, 16, 8185, 395, 670, 24382, 16, 3110, 29861, 11539, 477, 7755, 309, 16644, 289, 24951, 9657, 2241, 18, 31886, 549, 10177, 8522, 30312, 349, 14678, 353, 16, 961, 13672, 309, 29205, 16, 289, 282, 3947, 5537, 6160, 6369, 46000, 4497, 41061, 1066, 1512, 281, 3195, 21271, 10249, 309, 13400, 399, 15101, 18, 1787, 978, 13518, 3623, 8643, 17190, 6656, 16, 1029, 7291, 478, 7148, 44081, 470, 2994, 15711, 1099, 22915, 3627, 16, 670, 951, 31693, 51, 65, 289, 6973, 3108, 445, 282, 5284, 18, 14155, 492, 685, 6065, 282, 5049, 1045, 16, 289, 309, 32995, 2083, 282, 1169, 912, 11875, 4335, 15455, 1512, 18, 42378, 282, 951, 31693, 51, 10787, 282, 965, 3499, 1631, 16, 505, 4863, 16, 46199, 289, 21951, 13378, 9080, 16, 334, 1754, 492, 7757, 282, 34491, 18, 4185, 8662, 282, 951, 31693, 51, 16, 2702, 49046, 10983, 281, 5263, 1134, 424, 7183, 2206, 12457, 8752, 5324, 16, 3057, 16, 6700, 35544, 23932, 1312, 1285, 41899, 486, 670, 8300, 2204, 5355, 8840, 45959, 271, 385, 16270, 10057, 18, 7793, 282, 6656, 47716, 3231, 1110, 1512, 16, 961, 282, 3178, 2518, 5708, 10485, 1612, 588, 34827, 15734, 5643, 352, 17, 277, 4013, 1018, 282, 4459, 2241, 16, 289, 3891, 3336, 25750, 289, 518, 16, 1085, 1139, 5301, 478, 4529, 5678, 694, 16, 9840, 470, 424, 10680, 306, 1312, 1285, 41899, 486, 18, 4824, 411, 11861, 29861, 39, 38, 4725, 16, 374, 282, 2241, 1003, 2490, 2035, 36310, 44846, 924, 16, 374, 8503, 17086, 20129, 16, 2391, 4075, 27137, 17111, 411, 19569, 15515, 18, 478, 39009, 13518, 3623, 4452, 541, 924, 16, 753, 8811, 10249, 898, 282, 3623, 18, 1606, 9843, 45809, 541, 26903, 7272, 16, 753, 31127, 289, 44645, 281, 7514, 758, 5263, 1134, 16, 1727, 13698, 1279, 3338, 6814, 289, 2759, 2241, 16, 367, 1038, 734, 25063, 2666, 1743, 11998, 536, 36587, 1624, 827, 481, 14495, 18, 608, 813, 912, 9799, 485, 20418, 16, 36645, 541, 6198, 371, 10347, 617, 1512, 16, 961, 24706, 1514, 20704, 289, 12384, 22429, 10249, 910, 510, 2815, 12117, 5854, 2241, 18, 5043, 16, 3888, 8811, 39768, 25156, 16, 374, 7272, 16, 18697, 1733, 282, 965, 2280, 9476, 349, 10287, 758, 25935, 3317, 16, 3929, 17992, 758, 16, 289, 13962, 1867, 697, 281, 478, 28211, 1757, 17722, 470, 411, 3806, 487, 412, 1290, 18, 7699, 1749, 14888, 3660, 289, 935, 322, 6597, 16, 374, 898, 20215, 1007, 282, 478, 1477, 451, 6656, 861, 9114, 986, 2158, 4322, 6851, 290, 970, 16, 374, 7757, 282, 951, 31693, 51, 16, 785, 5053, 309, 38186, 283, 477, 2200, 4413, 16, 1029, 5931, 282, 20352, 10249, 282, 11353, 435, 17, 16846, 582, 18, 817, 6558, 13049, 282, 3106, 20543, 16, 515, 16, 785, 492, 6181, 309, 449, 34769, 1235, 263, 16, 906, 3696, 2773, 29896, 18, 2320, 381, 7367, 1293, 32236, 16, 961, 322, 15111, 975, 6886, 2915, 18, 985, 12374, 10188, 16, 4322, 6181, 282, 951, 31693, 51, 1011 ]
[ 924, 16, 428, 2657, 5077, 17047, 19414, 5331, 10936, 282, 4459, 23932, 1312, 1285, 41899, 486, 18, 18561, 16, 374, 282, 6656, 478, 7148, 44081, 470, 1698, 8662, 322, 687, 21215, 10249, 16, 5860, 19285, 2159, 14441, 3589, 6106, 16, 515, 289, 24671, 8811, 289, 9410, 4921, 2241, 16, 961, 898, 3116, 2626, 282, 34491, 1011, 40158, 334, 21550, 697, 12360, 18, 7699, 411, 9657, 25750, 282, 951, 31693, 51, 411, 17, 431, 5453, 10478, 2989, 10108, 282, 20352, 16, 3057, 16, 827, 697, 7151, 414, 349, 43922, 355, 18, 3557, 322, 2619, 16, 282, 11063, 8640, 4284, 541, 46136, 282, 478, 1477, 451, 6656, 470, 1139, 1003, 510, 1421, 15479, 16, 13873, 281, 21285, 16, 34715, 290, 970, 16, 374, 3716, 2552, 15492, 16786, 14331, 12745, 19471, 282, 34491, 18, 3739, 1176, 7897, 4848, 16, 374, 9410, 4764, 47716, 3231, 282, 951, 31693, 51, 16, 827, 745, 2410, 39910, 10339, 4364, 309, 7036, 290, 970, 16, 374, 697, 11389, 322, 840, 1103, 637, 18, 27695, 10249, 41847, 870, 10744, 16, 4685, 14711, 16, 374, 1177, 4126, 1623, 4703, 1033, 25642, 864, 7976, 536, 289, 42055, 3328, 30, 478, 1605, 3646, 17, 7984, 945, 1157, 25750, 282, 6656, 1472, 282, 3947, 5537, 15340, 16, 18697, 1587, 282, 965, 14075, 8886, 18802, 16, 1011, 10874, 360, 42770, 289, 6660, 12094, 861, 15394, 5902, 46136, 11350, 17, 7984, 945, 1051, 282, 951, 31693, 51, 4115, 1154, 294, 32750, 2132, 2683, 536, 6295, 277, 18, 7793, 2928, 12094, 4292, 7791, 16644, 9657, 309, 7725, 1700, 16, 753, 15993, 5135, 17, 3697, 10839, 16, 515, 697, 322, 5505, 18215, 309, 20926, 16, 1548, 374, 745, 282, 478, 1477, 547, 14526, 861, 29951, 20307, 266, 25480, 6119, 41654, 13949, 10648, 37339, 326, 5273, 16, 374, 2433, 10249, 282, 1750, 281, 2341, 6726, 3623, 2241, 289, 6814, 1623, 42155, 18, 824, 505, 3163, 16, 16220, 15923, 2879, 11392, 309, 5572, 2468, 18, 478, 6161, 745, 13173, 16, 374, 912, 20889, 16, 1513, 7099, 7272, 18, 2787, 16, 428, 1717, 745, 19763, 4371, 16, 32820, 5531, 334, 7413, 281, 697, 4816, 1330, 13864, 6814, 910, 510, 4725, 37339, 326, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 778, 9778, 16722, 1034, 275, 406, 788, 3619, 7059, 764, 445, 18908, 4119, 8308, 507, 528, 310, 8367, 16, 515, 726, 282, 1326, 609, 320, 2047, 2537, 16596, 49981, 8904, 478, 822, 20681, 861, 999, 4119, 9778, 272, 29865, 4843, 21, 3763, 18, 640, 4119, 37403, 22982, 7459, 12539, 726, 6371, 12468, 1508, 16, 510, 515, 481, 322, 22660, 2549, 625, 307, 10868, 18, 31224, 30, 672, 350, 315, 34960, 473, 418, 3499, 5210, 12060, 16, 2091, 575, 13, 10218, 290, 30554, 10205, 1423, 16154, 23818, 571, 25632, 434, 24652, 478, 822, 20681, 861, 22319, 21086, 726, 39716, 9778, 272, 7120, 12999, 1034, 275, 406, 788, 329, 16, 1029, 282, 6962, 4357, 11338, 16480, 8308, 507, 16, 26422, 5771, 281, 23579, 23905, 294, 43970, 1147, 15922, 18, 999, 22189, 294, 4453, 20901, 825, 28807, 975, 16670, 37213, 269, 282, 9802, 4843, 21, 3763, 18, 967, 803, 309, 4119, 37403, 22982, 1650, 2873, 478, 822, 3042, 355, 470, 541, 12928, 470, 726, 6371, 6555, 12468, 1508, 16, 2686, 481, 322, 22660, 2549, 625, 307, 10868, 1624, 428, 3333, 3005, 14889, 18, 4320, 374, 1003, 19961, 5370, 16, 374, 16279, 17, 7745, 1034, 275, 406, 788, 33446, 8538, 309, 1574, 14784, 879, 3321, 18, 46430, 1157, 24652, 478, 822, 20681, 470, 1038, 45802, 282, 970, 16, 374, 9778, 39243, 7099, 3455, 282, 11184, 28048, 9302, 429, 18, 824, 3025, 19175, 16, 20664, 28048, 11178, 354, 29569, 2733, 2175, 14033, 27283, 2904, 294, 4453, 15922, 289, 12269, 8364, 394, 36724, 23310, 18, 14531, 2357, 28048, 11178, 354, 639, 25907, 1034, 275, 406, 788, 272, 764, 282, 2343, 3802, 16, 785, 3499, 30077, 11116, 282, 21077, 1165, 4974, 3725, 10195, 411, 17, 431, 290, 17300, 434, 14434, 18, 9114, 8560, 2158, 7211, 1162, 13143, 40623, 4863, 35330, 282, 901, 452, 31859, 16114, 411, 11995, 16, 1029, 13313, 26368, 25527, 39184, 478, 822, 3042, 355, 861, 478, 5786, 25226, 978, 1631, 35, 1345, 11843, 8346, 281, 1498, 334, 5083, 901, 675, 282, 21140, 38358, 864, 332, 1939, 3597, 18, 1178, 387, 5428, 16, 1085, 481, 16, 6004, 16, 39478, 1299, 910, 510, 25290, 7190, 17329, 6431, 18, 36538, 783, 2756, 15316, 29511, 2206, 282, 5324, 510, 289, 22444, 18964, 14750, 9567, 888, 44735, 289, 14228, 291, 18, 478, 1140, 1047, 685, 1629, 742, 510, 688, 12776, 3327, 910, 478, 3001, 34404, 16, 1548, 374, 24717, 11833, 10956, 360, 1047, 910, 510, 39993, 10936, 21215, 18, 9967, 7924, 9528, 289, 11310, 4863, 35662, 2632, 16, 961, 282, 28756, 925, 282, 281, 15447, 411, 478, 822, 3042, 355, 470, 20687, 25935, 837, 411, 38358, 864, 332, 18, 2112, 481, 7211, 1162, 13143, 473, 299, 520, 282, 20011, 16, 502, 520, 309, 2456, 2463, 13, 14204, 332, 289, 2089, 16154, 18, 478, 25444, 1514, 349, 2204, 15350, 19801, 18, 1345, 10258, 6687, 6839, 14781, 289, 5684, 21283, 16, 374, 309, 2083, 8150, 16722, 1034, 275, 406, 788, 6820, 282, 12903, 282, 1177, 1119, 18, 17614, 16, 374, 3711, 481, 2240, 910, 510, 6463, 5747, 5854, 6233, 282, 22818, 18, 2263, 1034, 275, 406, 788, 282, 6940, 445, 40393, 30888, 5961, 27769, 16, 3043, 10551, 282, 43287, 5626, 16, 428, 8641, 567, 2712, 282, 39195, 781, 12957, 454, 16114, 16, 281, 42845, 30, 478, 630, 11013, 1952, 16, 35726, 16, 481, 685, 322, 417, 5, 985, 11286, 16, 417, 685, 282, 6835, 17, 17553, 18, 22106, 317, 823, 1876, 411, 6233, 38358, 864, 332, 22386, 282, 47879, 4271, 365, 3998, 779, 309, 1382, 12411, 636, 6181, 22968, 10890, 311, 511, 320, 17, 266, 1532, 3327, 24176, 478, 822, 3042, 21011, 861, 727, 2334, 548, 5501, 925, 16, 428, 3207, 373, 479, 20272, 4313, 1712, 9457, 23827, 14582, 16, 1221, 9935, 371, 505, 11184, 26819, 411, 4095, 1560, 22649, 289, 15474, 281, 12070, 32738, 24652, 18, 640, 8011, 23587, 9293, 950, 590, 397, 6326, 427, 1209, 43987, 11338, 289, 15474, 9410, 16, 1247, 14574, 478, 822, 3042, 355, 470, 309, 38500, 428, 2955, 1033, 8252, 15764, 18, 967, 803, 10689, 6962, 2009, 49981, 8904, 5860, 2625, 939, 5230, 12213, 309, 1177, 2948, 18, 34620, 378, 3651, 312, 16, 9774, 5703, 40266, 747, 665, 16, 20075, 25349, 12570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 924, 16, 428, 2657, 5077, 17047, 19414, 5331, 10936, 282, 4459, 23932, 1312, 1285, 41899, 486, 18, 18561, 16, 374, 282, 6656, 478, 7148, 44081, 470, 1698, 8662, 322, 687, 21215, 10249, 16, 5860, 19285, 2159, 14441, 3589, 6106, 16, 515, 289, 24671, 8811, 289, 9410, 4921, 2241, 16, 961, 898, 3116, 2626, 282, 34491, 1011, 40158, 334, 21550, 697, 12360, 18, 7699, 411, 9657, 25750, 282, 951, 31693, 51, 411, 17, 431, 5453, 10478, 2989, 10108, 282, 20352, 16, 3057, 16, 827, 697, 7151, 414, 349, 43922, 355, 18, 3557, 322, 2619, 16, 282, 11063, 8640, 4284, 541, 46136, 282, 478, 1477, 451, 6656, 470, 1139, 1003, 510, 1421, 15479, 16, 13873, 281, 21285, 16, 34715, 290, 970, 16, 374, 3716, 2552, 15492, 16786, 14331, 12745, 19471, 282, 34491, 18, 3739, 1176, 7897, 4848, 16, 374, 9410, 4764, 47716, 3231, 282, 951, 31693, 51, 16, 827, 745, 2410, 39910, 10339, 4364, 309, 7036, 290, 970, 16, 374, 697, 11389, 322, 840, 1103, 637, 18, 27695, 10249, 41847, 870, 10744, 16, 4685, 14711, 16, 374, 1177, 4126, 1623, 4703, 1033, 25642, 864, 7976, 536, 289, 42055, 3328, 30, 478, 1605, 3646, 17, 7984, 945, 1157, 25750, 282, 6656, 1472, 282, 3947, 5537, 15340, 16, 18697, 1587, 282, 965, 14075, 8886, 18802, 16, 1011, 10874, 360, 42770, 289, 6660, 12094, 861, 15394, 5902, 46136, 11350, 17, 7984, 945, 1051, 282, 951, 31693, 51, 4115, 1154, 294, 32750, 2132, 2683, 536, 6295, 277, 18, 7793, 2928, 12094, 4292, 7791, 16644, 9657, 309, 7725, 1700, 16, 753, 15993, 5135, 17, 3697, 10839, 16, 515, 697, 322, 5505, 18215, 309, 20926, 16, 1548, 374, 745, 282, 478, 1477, 547, 14526, 861, 29951, 20307, 266, 25480, 6119, 41654, 13949, 10648, 37339, 326, 5273, 16, 374, 2433, 10249, 282, 1750, 281, 2341, 6726, 3623, 2241, 289, 6814, 1623, 42155, 18, 824, 505, 3163, 16, 16220, 15923, 2879, 11392, 309, 5572, 2468, 18, 478, 6161, 745, 13173, 16, 374, 912, 20889, 16, 1513, 7099, 7272, 18, 2787, 16, 428, 1717, 745, 19763, 4371, 16, 32820, 5531, 334, 7413, 281, 697, 4816, 1330, 13864, 6814, 910, 510, 4725, 37339, 326, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 778, 9778, 16722, 1034, 275, 406, 788, 3619, 7059, 764, 445, 18908, 4119, 8308, 507, 528, 310, 8367, 16, 515, 726, 282, 1326, 609, 320, 2047, 2537, 16596, 49981, 8904, 478, 822, 20681, 861, 999, 4119, 9778, 272, 29865, 4843, 21, 3763, 18, 640, 4119, 37403, 22982, 7459, 12539, 726, 6371, 12468, 1508, 16, 510, 515, 481, 322, 22660, 2549, 625, 307, 10868, 18, 31224, 30, 672, 350, 315, 34960, 473, 418, 3499, 5210, 12060, 16, 2091, 575, 13, 10218, 290, 30554, 10205, 1423, 16154, 23818, 571, 25632, 434, 24652, 478, 822, 20681, 861, 22319, 21086, 726, 39716, 9778, 272, 7120, 12999, 1034, 275, 406, 788, 329, 16, 1029, 282, 6962, 4357, 11338, 16480, 8308, 507, 16, 26422, 5771, 281, 23579, 23905, 294, 43970, 1147, 15922, 18, 999, 22189, 294, 4453, 20901, 825, 28807, 975, 16670, 37213, 269, 282, 9802, 4843, 21, 3763, 18, 967, 803, 309, 4119, 37403, 22982, 1650, 2873, 478, 822, 3042, 355, 470, 541, 12928, 470, 726, 6371, 6555, 12468, 1508, 16, 2686, 481, 322, 22660, 2549, 625, 307, 10868, 1624, 428, 3333, 3005, 14889, 18, 4320, 374, 1003, 19961, 5370, 16, 374, 16279, 17, 7745, 1034, 275, 406, 788, 33446, 8538, 309, 1574, 14784, 879, 3321, 18, 46430, 1157, 24652, 478, 822, 20681, 470, 1038, 45802, 282, 970, 16, 374, 9778, 39243, 7099, 3455, 282, 11184, 28048, 9302, 429, 18, 824, 3025, 19175, 16, 20664, 28048, 11178, 354, 29569, 2733, 2175, 14033, 27283, 2904, 294, 4453, 15922, 289, 12269, 8364, 394, 36724, 23310, 18, 14531, 2357, 28048, 11178, 354, 639, 25907, 1034, 275, 406, 788, 272, 764, 282, 2343, 3802, 16, 785, 3499, 30077, 11116, 282, 21077, 1165, 4974, 3725, 10195, 411, 17, 431, 290, 17300, 434, 14434, 18, 9114, 8560, 2158, 7211, 1162, 13143, 40623, 4863, 35330, 282, 901, 452, 31859, 16114, 411, 11995, 16, 1029, 13313, 26368, 25527, 39184, 478, 822, 3042, 355, 861, 478, 5786, 25226, 978, 1631, 35, 1345, 11843, 8346, 281, 1498, 334, 5083, 901, 675, 282, 21140, 38358, 864, 332, 1939, 3597, 18, 1178, 387, 5428, 16, 1085, 481, 16, 6004, 16, 39478, 1299, 910, 510, 25290, 7190, 17329, 6431, 18, 36538, 783, 2756, 15316, 29511, 2206, 282, 5324, 510, 289, 22444, 18964, 14750, 9567, 888, 44735, 289, 14228, 291, 18, 478, 1140, 1047, 685, 1629, 742, 510, 688, 12776, 3327, 910, 478, 3001, 34404, 16, 1548, 374, 24717, 11833, 10956, 360, 1047, 910, 510, 39993, 10936, 21215, 18, 9967, 7924, 9528, 289, 11310, 4863, 35662, 2632, 16, 961, 282, 28756, 925, 282, 281, 15447, 411, 478, 822, 3042, 355, 470, 20687, 25935, 837, 411, 38358, 864, 332, 18, 2112, 481, 7211, 1162, 13143, 473, 299, 520, 282, 20011, 16, 502, 520, 309, 2456, 2463, 13, 14204, 332, 289, 2089, 16154, 18, 478, 25444, 1514, 349, 2204, 15350, 19801, 18, 1345, 10258, 6687, 6839, 14781, 289, 5684, 21283, 16, 374, 309, 2083, 8150, 16722, 1034, 275, 406, 788, 6820, 282, 12903, 282, 1177, 1119, 18, 17614, 16, 374, 3711, 481, 2240, 910, 510, 6463, 5747, 5854, 6233, 282, 22818, 18, 2263, 1034, 275, 406, 788, 282, 6940, 445, 40393, 30888, 5961, 27769, 16, 3043, 10551, 282, 43287, 5626, 16, 428, 8641, 567, 2712, 282, 39195, 781, 12957, 454, 16114, 16, 281, 42845, 30, 478, 630, 11013, 1952, 16, 35726, 16, 481, 685, 322, 417, 5, 985, 11286, 16, 417, 685, 282, 6835, 17, 17553, 18, 22106, 317, 823, 1876, 411, 6233, 38358, 864, 332, 22386, 282, 47879, 4271, 365, 3998, 779, 309, 1382, 12411, 636, 6181, 22968, 10890, 311, 511, 320, 17, 266, 1532, 3327, 24176, 478, 822, 3042, 21011, 861, 727, 2334, 548, 5501, 925, 16, 428, 3207, 373, 479, 20272, 4313, 1712, 9457, 23827, 14582, 16, 1221, 9935, 371, 505, 11184, 26819, 411, 4095, 1560, 22649, 289, 15474, 281, 12070, 32738, 24652, 18, 640, 8011, 23587, 9293, 950, 590, 397, 6326, 427, 1209, 43987, 11338, 289, 15474, 9410, 16, 1247, 14574, 478, 822, 3042, 355, 470, 309, 38500, 428, 2955, 1033, 8252, 15764, 18, 967, 803, 10689, 6962, 2009, 49981, 8904, 5860, 2625, 939, 5230, 12213, 309, 1177, 2948, 18, 34620, 378, 3651, 312, 16, 9774, 5703, 40266, 747, 665, 16, 20075, 25349, 12570 ]
[ 282, 478, 29134, 307, 913, 861, 22660, 2549, 625, 307, 10868, 7415, 5273, 16, 374, 481, 3147, 2628, 18, 4756, 21412, 2202, 3645, 16, 374, 678, 16, 403, 1701, 307, 403, 17134, 473, 6890, 837, 13, 289, 19259, 20828, 34780, 473, 30731, 818, 13, 808, 360, 1612, 38435, 449, 5983, 273, 478, 822, 3042, 355, 861, 439, 1215, 48824, 2502, 38189, 473, 10594, 6194, 265, 13, 1269, 445, 14522, 3670, 16, 374, 3586, 396, 10287, 539, 26286, 5247, 478, 822, 3042, 355, 470, 975, 12534, 1381, 538, 30, 478, 45211, 695, 417, 5755, 30, 478, 10430, 556, 322, 998, 2002, 910, 515, 282, 1750, 281, 478, 822, 3042, 14060, 470, 481, 2697, 2820, 510, 478, 742, 556, 470, 289, 16390, 861, 17842, 17, 16981, 403, 1701, 307, 403, 17134, 322, 11279, 1127, 3008, 6583, 506, 281, 373, 8309, 26696, 16, 515, 290, 26286, 8256, 24652, 16, 334, 722, 4734, 16, 289, 8180, 953, 322, 895, 18, 478, 29579, 3857, 813, 34728, 16, 9033, 339, 520, 656, 785, 17, 1796, 449, 5983, 273, 18, 478, 822, 20681, 470, 898, 19968, 290, 8933, 1512, 16, 6722, 282, 7353, 424, 8978, 16, 961, 20733, 965, 18, 832, 2060, 16, 5092, 520, 1480, 10205, 2089, 5901, 16769, 18, 629, 5112, 1139, 322, 2447, 1190, 2900, 6348, 18, 3747, 417, 373, 7199, 374, 6922, 16, 753, 1858, 9555, 282, 2059, 5555, 281, 7396, 5578, 16, 3624, 281, 2872, 289, 9038, 9720, 18, 740, 417, 1139, 322, 5829, 16, 428, 481, 2628, 910, 510, 9321, 403, 1701, 307, 282, 7337, 36261, 18, 43730, 300, 478, 822, 20681, 470, 20727, 281, 11144, 334, 7520, 1205, 289, 42878, 709, 4705, 49648, 16, 1541, 3302, 411, 3703, 26, 43194, 18, 5360, 639, 34436, 5270, 43427, 478, 44621, 353, 470, 289, 2511, 478, 49932, 770, 9304, 16748, 861, 8413, 2110, 15585, 11338, 25605, 16279, 16, 25, 3763, 1135, 18, 2, 1, 87, 1456, 81, 2448, 30, 1464, 1282, 5619, 349, 12006, 5738, 381, 584, 11178, 476, 16379, 8714, 309, 13591, 5747, 12731, 9104, 12783, 510, 281, 430, 3612, 4018, 779, 16, 3828, 5037, 12958, 37416, 6370, 378, 2430, 375, 18, 824, 505, 3163, 16, 3003, 9245, 281, 1047, 712, 1330, 6367, 7043, 18, 1782, 575, 4266, 4266, 16, 374, 322, 1698, 34930, 411, 17, 431, 924, 16, 374, 22996, 755, 322, 19346, 1209, 14381, 6702, 18, 31224, 30, 1182, 2216, 18104, 13518, 334, 43532, 2658, 1876, 473, 49959, 37416, 13, 12674, 332, 309, 430, 3612, 4018, 779, 43582, 282, 3941, 10556, 432, 13951, 349, 12006, 5738, 381, 584, 11178, 476, 541, 6367, 7043, 16, 3828, 282, 9937, 282, 1375, 1528, 34046, 13588, 46045, 429, 478, 677, 22254, 32617, 455, 470, 478, 11825, 39673, 4271, 9216, 11413, 6370, 378, 2430, 375, 18, 9584, 290, 17998, 1290, 6474, 15152, 1147, 26508, 584, 11178, 868, 680, 3352, 289, 34357, 9781, 2658, 635, 15739, 282, 3941, 4055, 3612, 4440, 779, 18, 6592, 975, 16, 3224, 10913, 8341, 2879, 37438, 294, 6723, 5970, 281, 4055, 4189, 4440, 779, 16, 5034, 549, 651, 281, 4055, 4189, 3734, 779, 18, 824, 3163, 13465, 8053, 16, 3003, 290, 10659, 263, 28261, 9245, 281, 1047, 712, 1330, 18221, 6367, 294, 33403, 3343, 5738, 18, 478, 4348, 7650, 3003, 16, 374, 46597, 2678, 22308, 7043, 519, 430, 3612, 7869, 1423, 2768, 282, 23758, 281, 14311, 26005, 16, 502, 912, 16, 14895, 4538, 16, 4302, 13951, 322, 3984, 17101, 1855, 910, 510, 1109, 5037, 12958, 37416, 18, 25310, 1047, 712, 617, 9452, 282, 970, 16, 374, 12958, 37416, 1055, 322, 19346, 9980, 424, 40242, 448, 29125, 16, 4848, 478, 46088, 18, 8381, 470, 4770, 10143, 6190, 6838, 30324, 8204, 416, 42469, 12758, 286, 439, 1709, 636, 297, 1231, 3715, 478, 35240, 339, 448, 5836, 1513, 2240, 1717, 309, 697, 8285, 18, 889, 24687, 808, 289, 35710, 4135, 18, 1787, 7117, 8334, 6367, 6042, 468, 965, 282, 23758, 281, 9449, 35710, 5836, 24679, 2926, 18, 10085, 4927, 34930, 289, 2512, 15333, 1568, 16, 12425, 15333, 1568, 289, 505, 971, 322, 26387, 910, 510, 2548, 439, 5039, 636, 297, 1231, 18, 1367, 803, 575, 282, 8151, 4238, 309, 3098, 1683, 7985, 421, 29731, 983, 6949, 46984, 12456, 769, 296, 1991, 8112, 4377, 332, 26407, 3444, 267, 1624, 9196, 735, 275, 5892, 2998, 21935, 18, 478, 16385, 12958, 37416, 15608, 576, 2361, 8626, 2844, 36451, 5771, 16, 289, 541, 6367, 7043, 5702, 17648, 536, 16, 428, 26387, 3333, 14471, 5738, 910, 510, 38721, 6357, 30345, 2241, 478, 19448, 88, 1975, 1185, 4656, 470, 4944, 439, 1484, 5101, 18, 378, 2430, 375, 281, 7071, 6795, 8253, 353, 322, 12557, 18, 478, 7148, 40242, 448, 29125, 6354, 910, 510, 9299, 492, 18, 25310, 18343, 16, 828, 7814, 40539, 21595, 16, 5273, 8624, 7067, 18820, 11828, 478, 9676, 823, 3412, 47618, 39805, 470, 8973, 4900, 49980, 30, 478, 6889, 399, 23418, 1157, 322, 6354, 35309, 12958, 37416, 23050, 541, 5743, 3806, 375, 11178, 868, 718, 29201, 289, 6347, 4766, 4371, 282, 2630, 281, 867, 16, 374, 9805, 31333, 8275, 1494, 685, 2658, 635, 584, 11178, 868, 933, 289, 7711, 432, 26821, 861, 439, 281, 44263, 35468, 47886, 6876, 14758, 411, 2553, 16, 2486, 17583, 282, 5975, 808, 1542, 18359, 764, 1033, 41025, 701, 16, 26698, 12189, 30, 478, 27717, 11583, 10933, 6153, 5643, 2241, 289, 10902, 13173, 16, 374, 1698, 9555, 2264, 301, 9471, 282, 284, 538, 800, 48190, 448, 6053, 16, 961, 1698, 24046, 319, 282, 3198, 8886, 3741, 6457, 432, 18534, 12958, 37416, 861, 1178, 373, 3224, 10913, 8341, 37818, 282, 3941, 1314, 16, 282, 584, 11178, 26726, 3005, 373, 953, 44283, 1007, 1749, 16, 961, 17933, 1206, 2482, 6925, 3457, 5135, 17, 299, 4371, 16, 2548, 8624, 7920, 4150, 755, 933, 43603, 15289, 3320, 478, 822, 310, 2232, 3771, 470, 3720, 15090, 18, 365, 6449, 1750, 16, 10659, 28261, 685, 17968, 1957, 16, 6881, 11009, 7043, 18, 478, 4441, 25891, 3003, 12958, 37416, 1175, 289, 656, 505, 3118, 4425, 2484, 910, 510, 2548, 3203, 12456, 9670, 478, 730, 15132, 470, 4944, 35694, 15561, 18, 824, 505, 4734, 16, 2352, 23064, 8350, 22308, 7043, 20619, 34930, 294, 7446, 2559, 16, 35269, 9449, 18, 478, 6161, 475, 1974, 1314, 19222, 3413, 2184, 16, 502, 294, 430, 3612, 4018, 779, 2286, 339, 34930, 18, 365, 2074, 1568, 282, 3941, 428, 942, 6847, 282, 18247, 322, 687, 12958, 37416, 16, 515, 289, 4000, 282, 5329, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 478, 29134, 307, 913, 861, 22660, 2549, 625, 307, 10868, 7415, 5273, 16, 374, 481, 3147, 2628, 18, 4756, 21412, 2202, 3645, 16, 374, 678, 16, 403, 1701, 307, 403, 17134, 473, 6890, 837, 13, 289, 19259, 20828, 34780, 473, 30731, 818, 13, 808, 360, 1612, 38435, 449, 5983, 273, 478, 822, 3042, 355, 861, 439, 1215, 48824, 2502, 38189, 473, 10594, 6194, 265, 13, 1269, 445, 14522, 3670, 16, 374, 3586, 396, 10287, 539, 26286, 5247, 478, 822, 3042, 355, 470, 975, 12534, 1381, 538, 30, 478, 45211, 695, 417, 5755, 30, 478, 10430, 556, 322, 998, 2002, 910, 515, 282, 1750, 281, 478, 822, 3042, 14060, 470, 481, 2697, 2820, 510, 478, 742, 556, 470, 289, 16390, 861, 17842, 17, 16981, 403, 1701, 307, 403, 17134, 322, 11279, 1127, 3008, 6583, 506, 281, 373, 8309, 26696, 16, 515, 290, 26286, 8256, 24652, 16, 334, 722, 4734, 16, 289, 8180, 953, 322, 895, 18, 478, 29579, 3857, 813, 34728, 16, 9033, 339, 520, 656, 785, 17, 1796, 449, 5983, 273, 18, 478, 822, 20681, 470, 898, 19968, 290, 8933, 1512, 16, 6722, 282, 7353, 424, 8978, 16, 961, 20733, 965, 18, 832, 2060, 16, 5092, 520, 1480, 10205, 2089, 5901, 16769, 18, 629, 5112, 1139, 322, 2447, 1190, 2900, 6348, 18, 3747, 417, 373, 7199, 374, 6922, 16, 753, 1858, 9555, 282, 2059, 5555, 281, 7396, 5578, 16, 3624, 281, 2872, 289, 9038, 9720, 18, 740, 417, 1139, 322, 5829, 16, 428, 481, 2628, 910, 510, 9321, 403, 1701, 307, 282, 7337, 36261, 18, 43730, 300, 478, 822, 20681, 470, 20727, 281, 11144, 334, 7520, 1205, 289, 42878, 709, 4705, 49648, 16, 1541, 3302, 411, 3703, 26, 43194, 18, 5360, 639, 34436, 5270, 43427, 478, 44621, 353, 470, 289, 2511, 478, 49932, 770, 9304, 16748, 861, 8413, 2110, 15585, 11338, 25605, 16279, 16, 25, 3763, 1135, 18, 2, 1, 87, 1456, 81, 2448, 30, 1464, 1282, 5619, 349, 12006, 5738, 381, 584, 11178, 476, 16379, 8714, 309, 13591, 5747, 12731, 9104, 12783, 510, 281, 430, 3612, 4018, 779, 16, 3828, 5037, 12958, 37416, 6370, 378, 2430, 375, 18, 824, 505, 3163, 16, 3003, 9245, 281, 1047, 712, 1330, 6367, 7043, 18, 1782, 575, 4266, 4266, 16, 374, 322, 1698, 34930, 411, 17, 431, 924, 16, 374, 22996, 755, 322, 19346, 1209, 14381, 6702, 18, 31224, 30, 1182, 2216, 18104, 13518, 334, 43532, 2658, 1876, 473, 49959, 37416, 13, 12674, 332, 309, 430, 3612, 4018, 779, 43582, 282, 3941, 10556, 432, 13951, 349, 12006, 5738, 381, 584, 11178, 476, 541, 6367, 7043, 16, 3828, 282, 9937, 282, 1375, 1528, 34046, 13588, 46045, 429, 478, 677, 22254, 32617, 455, 470, 478, 11825, 39673, 4271, 9216, 11413, 6370, 378, 2430, 375, 18, 9584, 290, 17998, 1290, 6474, 15152, 1147, 26508, 584, 11178, 868, 680, 3352, 289, 34357, 9781, 2658, 635, 15739, 282, 3941, 4055, 3612, 4440, 779, 18, 6592, 975, 16, 3224, 10913, 8341, 2879, 37438, 294, 6723, 5970, 281, 4055, 4189, 4440, 779, 16, 5034, 549, 651, 281, 4055, 4189, 3734, 779, 18, 824, 3163, 13465, 8053, 16, 3003, 290, 10659, 263, 28261, 9245, 281, 1047, 712, 1330, 18221, 6367, 294, 33403, 3343, 5738, 18, 478, 4348, 7650, 3003, 16, 374, 46597, 2678, 22308, 7043, 519, 430, 3612, 7869, 1423, 2768, 282, 23758, 281, 14311, 26005, 16, 502, 912, 16, 14895, 4538, 16, 4302, 13951, 322, 3984, 17101, 1855, 910, 510, 1109, 5037, 12958, 37416, 18, 25310, 1047, 712, 617, 9452, 282, 970, 16, 374, 12958, 37416, 1055, 322, 19346, 9980, 424, 40242, 448, 29125, 16, 4848, 478, 46088, 18, 8381, 470, 4770, 10143, 6190, 6838, 30324, 8204, 416, 42469, 12758, 286, 439, 1709, 636, 297, 1231, 3715, 478, 35240, 339, 448, 5836, 1513, 2240, 1717, 309, 697, 8285, 18, 889, 24687, 808, 289, 35710, 4135, 18, 1787, 7117, 8334, 6367, 6042, 468, 965, 282, 23758, 281, 9449, 35710, 5836, 24679, 2926, 18, 10085, 4927, 34930, 289, 2512, 15333, 1568, 16, 12425, 15333, 1568, 289, 505, 971, 322, 26387, 910, 510, 2548, 439, 5039, 636, 297, 1231, 18, 1367, 803, 575, 282, 8151, 4238, 309, 3098, 1683, 7985, 421, 29731, 983, 6949, 46984, 12456, 769, 296, 1991, 8112, 4377, 332, 26407, 3444, 267, 1624, 9196, 735, 275, 5892, 2998, 21935, 18, 478, 16385, 12958, 37416, 15608, 576, 2361, 8626, 2844, 36451, 5771, 16, 289, 541, 6367, 7043, 5702, 17648, 536, 16, 428, 26387, 3333, 14471, 5738, 910, 510, 38721, 6357, 30345, 2241, 478, 19448, 88, 1975, 1185, 4656, 470, 4944, 439, 1484, 5101, 18, 378, 2430, 375, 281, 7071, 6795, 8253, 353, 322, 12557, 18, 478, 7148, 40242, 448, 29125, 6354, 910, 510, 9299, 492, 18, 25310, 18343, 16, 828, 7814, 40539, 21595, 16, 5273, 8624, 7067, 18820, 11828, 478, 9676, 823, 3412, 47618, 39805, 470, 8973, 4900, 49980, 30, 478, 6889, 399, 23418, 1157, 322, 6354, 35309, 12958, 37416, 23050, 541, 5743, 3806, 375, 11178, 868, 718, 29201, 289, 6347, 4766, 4371, 282, 2630, 281, 867, 16, 374, 9805, 31333, 8275, 1494, 685, 2658, 635, 584, 11178, 868, 933, 289, 7711, 432, 26821, 861, 439, 281, 44263, 35468, 47886, 6876, 14758, 411, 2553, 16, 2486, 17583, 282, 5975, 808, 1542, 18359, 764, 1033, 41025, 701, 16, 26698, 12189, 30, 478, 27717, 11583, 10933, 6153, 5643, 2241, 289, 10902, 13173, 16, 374, 1698, 9555, 2264, 301, 9471, 282, 284, 538, 800, 48190, 448, 6053, 16, 961, 1698, 24046, 319, 282, 3198, 8886, 3741, 6457, 432, 18534, 12958, 37416, 861, 1178, 373, 3224, 10913, 8341, 37818, 282, 3941, 1314, 16, 282, 584, 11178, 26726, 3005, 373, 953, 44283, 1007, 1749, 16, 961, 17933, 1206, 2482, 6925, 3457, 5135, 17, 299, 4371, 16, 2548, 8624, 7920, 4150, 755, 933, 43603, 15289, 3320, 478, 822, 310, 2232, 3771, 470, 3720, 15090, 18, 365, 6449, 1750, 16, 10659, 28261, 685, 17968, 1957, 16, 6881, 11009, 7043, 18, 478, 4441, 25891, 3003, 12958, 37416, 1175, 289, 656, 505, 3118, 4425, 2484, 910, 510, 2548, 3203, 12456, 9670, 478, 730, 15132, 470, 4944, 35694, 15561, 18, 824, 505, 4734, 16, 2352, 23064, 8350, 22308, 7043, 20619, 34930, 294, 7446, 2559, 16, 35269, 9449, 18, 478, 6161, 475, 1974, 1314, 19222, 3413, 2184, 16, 502, 294, 430, 3612, 4018, 779, 2286, 339, 34930, 18, 365, 2074, 1568, 282, 3941, 428, 942, 6847, 282, 18247, 322, 687, 12958, 37416, 16, 515, 289, 4000, 282, 5329, 18 ]
[ 889, 1176, 411, 22912, 14749, 281, 4947, 4611, 21002, 46561, 30737, 282, 4008, 910, 510, 2548, 439, 1709, 636, 297, 1231, 18, 2, 1, 87, 1456, 81, 2448, 30, 23134, 286, 6999, 332, 3536, 30682, 3303, 7529, 8955, 282, 1912, 21273, 18, 44323, 1323, 481, 282, 9547, 1279, 478, 682, 19324, 10669, 332, 861, 6096, 602, 13560, 375, 32745, 2823, 282, 18054, 25307, 478, 29521, 298, 12169, 470, 1195, 478, 1182, 435, 6992, 323, 861, 31224, 30, 7536, 7961, 1378, 4744, 820, 42704, 6999, 332, 3536, 367, 20800, 478, 684, 1412, 28414, 470, 46909, 282, 8111, 416, 8384, 478, 682, 19324, 47772, 861, 6209, 484, 16, 28929, 6933, 23791, 22232, 18, 15496, 4966, 1763, 9973, 282, 7343, 11035, 2287, 15277, 296, 16, 1830, 478, 1711, 335, 1157, 470, 3757, 322, 9420, 467, 36894, 339, 1593, 18, 478, 30731, 742, 267, 470, 510, 478, 45618, 486, 312, 470, 1032, 30, 20, 473, 21, 30, 20, 16, 2239, 30, 20, 16, 816, 30, 20, 13, 430, 17, 20, 18, 8426, 280, 271, 473, 780, 11496, 16, 8117, 1396, 934, 13693, 30, 10176, 491, 17, 20, 18, 504, 11284, 9058, 473, 13610, 1496, 17, 1098, 441, 29499, 16, 2970, 921, 266, 934, 4317, 30, 3161, 816, 17, 20, 18, 2970, 921, 266, 473, 822, 6689, 16, 5223, 1496, 17, 1098, 441, 29499, 934, 13531, 30, 6462, 1032, 17, 20, 18, 8117, 1396, 473, 780, 11496, 16, 38085, 934, 17185, 30, 8725, 14959, 11319, 30, 19501, 473, 3161, 19, 3161, 13, 510, 50003, 473, 7536, 19, 7703, 13, 478, 1182, 17612, 347, 470, 510, 478, 789, 48577, 470, 2239, 30, 23, 473, 20, 30, 21, 16, 2239, 30, 22, 16, 2239, 30, 20, 13, 2239, 17, 21, 18, 403, 1792, 310, 473, 1736, 7838, 267, 14030, 273, 934, 2123, 30, 8979, 2239, 17, 22, 18, 22158, 312, 473, 1182, 4172, 399, 934, 9817, 30, 4234, 376, 2079, 2239, 17, 23, 18, 25610, 1861, 473, 684, 1117, 312, 16, 2850, 2612, 934, 11114, 30, 11672, 14959, 11319, 30, 1782, 13936, 473, 6894, 19, 8976, 13, 510, 3699, 312, 4574, 267, 473, 7703, 19, 7703, 13, 478, 29521, 298, 433, 470, 510, 478, 13802, 19920, 470, 816, 30, 20, 473, 20, 30, 20, 16, 2239, 30, 20, 16, 816, 30, 20, 13, 430, 17, 20, 18, 14809, 285, 473, 1009, 433, 928, 7929, 16, 7191, 3327, 934, 13323, 30, 8760, 491, 17, 20, 18, 378, 3466, 6147, 473, 12775, 1186, 262, 1637, 345, 16, 602, 13560, 375, 934, 16279, 30, 8696, 816, 17, 20, 18, 3551, 1186, 262, 1637, 345, 473, 17394, 34671, 404, 16, 3911, 604, 934, 16279, 30, 6568, 14959, 11319, 30, 35506, 295, 473, 1618, 19, 1618, 13, 510, 608, 5551, 473, 6091, 19, 6475, 13, 478, 618, 2165, 686, 277, 470, 510, 478, 21664, 18113, 948, 470, 816, 30, 22, 473, 22, 30, 21, 16, 2239, 30, 20, 16, 430, 30, 21, 13, 2239, 17, 21, 18, 1483, 436, 300, 473, 1098, 781, 41145, 16, 13708, 14860, 266, 934, 21156, 30, 3161, 430, 17, 21, 18, 9065, 6047, 473, 43972, 363, 16, 11785, 2266, 323, 934, 1760, 30, 10207, 376, 2079, 491, 17, 21, 18, 528, 1577, 332, 399, 473, 983, 944, 1465, 934, 2261, 30, 3420, 816, 17, 21, 18, 2080, 312, 473, 1009, 1577, 332, 399, 16, 22349, 4013, 934, 11281, 30, 8400, 376, 2079, 816, 17, 22, 18, 10171, 1265, 441, 473, 677, 711, 307, 512, 1465, 16, 9027, 3418, 6157, 934, 16279, 30, 8760, 14959, 11319, 30, 768, 364, 3327, 473, 4691, 19, 6462, 13, 510, 12067, 21515, 473, 6475, 19, 6894, 13, 439, 12916, 282, 8267, 685, 5482, 915, 12954, 478, 1277, 375, 470, 48824, 12653, 1235, 1624, 21079, 1779, 309, 1595, 2948, 774, 289, 1871, 10376, 18, 832, 38506, 360, 22691, 289, 25214, 2743, 883, 439, 264, 1368, 33424, 21585, 376, 384, 1038, 430, 15, 22, 18, 19065, 289, 15465, 478, 682, 19324, 10669, 332, 470, 7857, 4832, 23331, 16, 1029, 4424, 282, 11258, 18462, 282, 2059, 9547, 1272, 26654, 18, 365, 1423, 3678, 16, 774, 34544, 478, 21664, 395, 1219, 507, 470, 17503, 12067, 21515, 13190, 364, 2706, 4744, 2449, 16, 374, 16, 9705, 16, 322, 19344, 505, 10434, 46909, 478, 618, 2165, 686, 277, 470, 473, 22, 30, 23, 814, 415, 1615, 2358, 289, 1500, 5809, 16, 374, 26062, 16, 44468, 2703, 13288, 282, 478, 21664, 395, 1219, 409, 910, 322, 7737, 2401, 5873, 282, 1335, 9547, 18, 5181, 16, 11303, 439, 10119, 21710, 322, 4223, 309, 20118, 411, 17, 431, 1791, 477, 25517, 18, 365, 502, 575, 808, 282, 7263, 298, 962, 1472, 39914, 8243, 478, 684, 2334, 488, 9192, 470, 10806, 3551, 440, 4642, 345, 18462, 1143, 2236, 26654, 473, 21, 15, 21, 814, 8859, 505, 15277, 807, 6276, 2132, 2683, 416, 18, 2787, 520, 7206, 11022, 22447, 16, 502, 520, 47421, 282, 296, 4475, 282, 17025, 16, 515, 15277, 807, 1011, 38366, 281, 505, 5155, 7379, 9438, 555, 360, 15615, 5625, 334, 6327, 267, 2063, 16, 515, 20765, 1771, 1484, 294, 24557, 289, 360, 14846, 8528, 20447, 2654, 1188, 774, 34544, 304, 18, 2086, 24468, 16, 374, 2496, 31137, 2155, 2992, 15277, 919, 12679, 9805, 25236, 6096, 602, 13560, 375, 18, 478, 29521, 298, 433, 470, 575, 30682, 4690, 516, 8955, 473, 23, 30, 20, 934, 1830, 1756, 282, 4907, 2662, 329, 17701, 17455, 9408, 416, 774, 34544, 32376, 35506, 295, 18, 385, 41050, 12932, 10645, 3113, 609, 300, 289, 478, 789, 48577, 910, 687, 282, 25857, 329, 478, 1182, 17612, 700, 861, 1034, 3997, 487, 309, 1595, 2948, 28773, 8009, 3699, 312, 4574, 267, 1624, 13190, 8694, 6603, 4744, 2449, 18, 439, 11350, 17, 324, 45546, 18164, 478, 13781, 470, 3619, 1833, 1272, 20216, 36222, 349, 2964, 24004, 1066, 18, 2046, 6548, 9680, 4966, 32426, 488, 2776, 12586, 271, 2815, 16, 374, 15596, 48920, 3101, 32177, 2964, 272, 4472, 354, 309, 2333, 46404, 18, 478, 8706, 3252, 783, 16, 3592, 3626, 309, 2511, 670, 2418, 21273, 16, 510, 481, 35029, 3214, 334, 8823, 294, 3130, 16, 510, 5923, 1694, 2776, 12586, 332, 12117, 4788, 7586, 18, 510, 385, 5216, 14620, 19142, 417, 2618, 22408, 16, 1122, 492, 2826, 13008, 8211, 16, 477, 16865, 510, 537, 282, 17607, 1750, 861, 640, 28403, 360, 41888, 289, 774, 34544, 478, 30731, 742, 507, 470, 22004, 19501, 1624, 16118, 3216, 46164, 2846 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 889, 1176, 411, 22912, 14749, 281, 4947, 4611, 21002, 46561, 30737, 282, 4008, 910, 510, 2548, 439, 1709, 636, 297, 1231, 18, 2, 1, 87, 1456, 81, 2448, 30, 23134, 286, 6999, 332, 3536, 30682, 3303, 7529, 8955, 282, 1912, 21273, 18, 44323, 1323, 481, 282, 9547, 1279, 478, 682, 19324, 10669, 332, 861, 6096, 602, 13560, 375, 32745, 2823, 282, 18054, 25307, 478, 29521, 298, 12169, 470, 1195, 478, 1182, 435, 6992, 323, 861, 31224, 30, 7536, 7961, 1378, 4744, 820, 42704, 6999, 332, 3536, 367, 20800, 478, 684, 1412, 28414, 470, 46909, 282, 8111, 416, 8384, 478, 682, 19324, 47772, 861, 6209, 484, 16, 28929, 6933, 23791, 22232, 18, 15496, 4966, 1763, 9973, 282, 7343, 11035, 2287, 15277, 296, 16, 1830, 478, 1711, 335, 1157, 470, 3757, 322, 9420, 467, 36894, 339, 1593, 18, 478, 30731, 742, 267, 470, 510, 478, 45618, 486, 312, 470, 1032, 30, 20, 473, 21, 30, 20, 16, 2239, 30, 20, 16, 816, 30, 20, 13, 430, 17, 20, 18, 8426, 280, 271, 473, 780, 11496, 16, 8117, 1396, 934, 13693, 30, 10176, 491, 17, 20, 18, 504, 11284, 9058, 473, 13610, 1496, 17, 1098, 441, 29499, 16, 2970, 921, 266, 934, 4317, 30, 3161, 816, 17, 20, 18, 2970, 921, 266, 473, 822, 6689, 16, 5223, 1496, 17, 1098, 441, 29499, 934, 13531, 30, 6462, 1032, 17, 20, 18, 8117, 1396, 473, 780, 11496, 16, 38085, 934, 17185, 30, 8725, 14959, 11319, 30, 19501, 473, 3161, 19, 3161, 13, 510, 50003, 473, 7536, 19, 7703, 13, 478, 1182, 17612, 347, 470, 510, 478, 789, 48577, 470, 2239, 30, 23, 473, 20, 30, 21, 16, 2239, 30, 22, 16, 2239, 30, 20, 13, 2239, 17, 21, 18, 403, 1792, 310, 473, 1736, 7838, 267, 14030, 273, 934, 2123, 30, 8979, 2239, 17, 22, 18, 22158, 312, 473, 1182, 4172, 399, 934, 9817, 30, 4234, 376, 2079, 2239, 17, 23, 18, 25610, 1861, 473, 684, 1117, 312, 16, 2850, 2612, 934, 11114, 30, 11672, 14959, 11319, 30, 1782, 13936, 473, 6894, 19, 8976, 13, 510, 3699, 312, 4574, 267, 473, 7703, 19, 7703, 13, 478, 29521, 298, 433, 470, 510, 478, 13802, 19920, 470, 816, 30, 20, 473, 20, 30, 20, 16, 2239, 30, 20, 16, 816, 30, 20, 13, 430, 17, 20, 18, 14809, 285, 473, 1009, 433, 928, 7929, 16, 7191, 3327, 934, 13323, 30, 8760, 491, 17, 20, 18, 378, 3466, 6147, 473, 12775, 1186, 262, 1637, 345, 16, 602, 13560, 375, 934, 16279, 30, 8696, 816, 17, 20, 18, 3551, 1186, 262, 1637, 345, 473, 17394, 34671, 404, 16, 3911, 604, 934, 16279, 30, 6568, 14959, 11319, 30, 35506, 295, 473, 1618, 19, 1618, 13, 510, 608, 5551, 473, 6091, 19, 6475, 13, 478, 618, 2165, 686, 277, 470, 510, 478, 21664, 18113, 948, 470, 816, 30, 22, 473, 22, 30, 21, 16, 2239, 30, 20, 16, 430, 30, 21, 13, 2239, 17, 21, 18, 1483, 436, 300, 473, 1098, 781, 41145, 16, 13708, 14860, 266, 934, 21156, 30, 3161, 430, 17, 21, 18, 9065, 6047, 473, 43972, 363, 16, 11785, 2266, 323, 934, 1760, 30, 10207, 376, 2079, 491, 17, 21, 18, 528, 1577, 332, 399, 473, 983, 944, 1465, 934, 2261, 30, 3420, 816, 17, 21, 18, 2080, 312, 473, 1009, 1577, 332, 399, 16, 22349, 4013, 934, 11281, 30, 8400, 376, 2079, 816, 17, 22, 18, 10171, 1265, 441, 473, 677, 711, 307, 512, 1465, 16, 9027, 3418, 6157, 934, 16279, 30, 8760, 14959, 11319, 30, 768, 364, 3327, 473, 4691, 19, 6462, 13, 510, 12067, 21515, 473, 6475, 19, 6894, 13, 439, 12916, 282, 8267, 685, 5482, 915, 12954, 478, 1277, 375, 470, 48824, 12653, 1235, 1624, 21079, 1779, 309, 1595, 2948, 774, 289, 1871, 10376, 18, 832, 38506, 360, 22691, 289, 25214, 2743, 883, 439, 264, 1368, 33424, 21585, 376, 384, 1038, 430, 15, 22, 18, 19065, 289, 15465, 478, 682, 19324, 10669, 332, 470, 7857, 4832, 23331, 16, 1029, 4424, 282, 11258, 18462, 282, 2059, 9547, 1272, 26654, 18, 365, 1423, 3678, 16, 774, 34544, 478, 21664, 395, 1219, 507, 470, 17503, 12067, 21515, 13190, 364, 2706, 4744, 2449, 16, 374, 16, 9705, 16, 322, 19344, 505, 10434, 46909, 478, 618, 2165, 686, 277, 470, 473, 22, 30, 23, 814, 415, 1615, 2358, 289, 1500, 5809, 16, 374, 26062, 16, 44468, 2703, 13288, 282, 478, 21664, 395, 1219, 409, 910, 322, 7737, 2401, 5873, 282, 1335, 9547, 18, 5181, 16, 11303, 439, 10119, 21710, 322, 4223, 309, 20118, 411, 17, 431, 1791, 477, 25517, 18, 365, 502, 575, 808, 282, 7263, 298, 962, 1472, 39914, 8243, 478, 684, 2334, 488, 9192, 470, 10806, 3551, 440, 4642, 345, 18462, 1143, 2236, 26654, 473, 21, 15, 21, 814, 8859, 505, 15277, 807, 6276, 2132, 2683, 416, 18, 2787, 520, 7206, 11022, 22447, 16, 502, 520, 47421, 282, 296, 4475, 282, 17025, 16, 515, 15277, 807, 1011, 38366, 281, 505, 5155, 7379, 9438, 555, 360, 15615, 5625, 334, 6327, 267, 2063, 16, 515, 20765, 1771, 1484, 294, 24557, 289, 360, 14846, 8528, 20447, 2654, 1188, 774, 34544, 304, 18, 2086, 24468, 16, 374, 2496, 31137, 2155, 2992, 15277, 919, 12679, 9805, 25236, 6096, 602, 13560, 375, 18, 478, 29521, 298, 433, 470, 575, 30682, 4690, 516, 8955, 473, 23, 30, 20, 934, 1830, 1756, 282, 4907, 2662, 329, 17701, 17455, 9408, 416, 774, 34544, 32376, 35506, 295, 18, 385, 41050, 12932, 10645, 3113, 609, 300, 289, 478, 789, 48577, 910, 687, 282, 25857, 329, 478, 1182, 17612, 700, 861, 1034, 3997, 487, 309, 1595, 2948, 28773, 8009, 3699, 312, 4574, 267, 1624, 13190, 8694, 6603, 4744, 2449, 18, 439, 11350, 17, 324, 45546, 18164, 478, 13781, 470, 3619, 1833, 1272, 20216, 36222, 349, 2964, 24004, 1066, 18, 2046, 6548, 9680, 4966, 32426, 488, 2776, 12586, 271, 2815, 16, 374, 15596, 48920, 3101, 32177, 2964, 272, 4472, 354, 309, 2333, 46404, 18, 478, 8706, 3252, 783, 16, 3592, 3626, 309, 2511, 670, 2418, 21273, 16, 510, 481, 35029, 3214, 334, 8823, 294, 3130, 16, 510, 5923, 1694, 2776, 12586, 332, 12117, 4788, 7586, 18, 510, 385, 5216, 14620, 19142, 417, 2618, 22408, 16, 1122, 492, 2826, 13008, 8211, 16, 477, 16865, 510, 537, 282, 17607, 1750, 861, 640, 28403, 360, 41888, 289, 774, 34544, 478, 30731, 742, 507, 470, 22004, 19501, 1624, 16118, 3216, 46164, 2846 ]
[ 15277, 919, 282, 8999, 478, 45618, 486, 312, 861, 3557, 5547, 478, 27296, 17, 15900, 25547, 2266, 23682, 470, 18789, 3655, 11389, 281, 774, 34544, 304, 9699, 4019, 17121, 736, 304, 16, 47497, 12117, 4788, 7586, 18, 25582, 12101, 9518, 2706, 17, 7745, 47487, 18037, 282, 439, 14933, 16, 49302, 11166, 16287, 349, 8896, 277, 17, 27475, 478, 1532, 268, 2266, 2477, 470, 289, 1146, 7678, 19593, 1321, 23805, 14271, 491, 16, 11275, 371, 1393, 11186, 7961, 7707, 4744, 2449, 29523, 16, 29, 18, 7758, 349, 14261, 17121, 736, 19765, 19779, 16287, 282, 439, 14933, 289, 30682, 282, 1129, 13908, 9764, 16, 46843, 282, 11099, 491, 16, 12695, 15277, 919, 349, 5199, 289, 7961, 525, 29523, 16, 23, 13930, 4744, 2449, 18, 365, 29730, 774, 34544, 1055, 322, 19765, 537, 2236, 7977, 18, 2555, 3990, 4479, 779, 492, 14900, 11389, 281, 478, 730, 5944, 2266, 23682, 470, 282, 3106, 322, 2011, 287, 399, 712, 5540, 18567, 25499, 18, 439, 25236, 478, 19253, 637, 46871, 470, 42998, 1845, 1532, 266, 387, 18047, 309, 5270, 17, 23189, 27999, 8560, 411, 17, 431, 15831, 264, 41487, 7840, 16, 3110, 18045, 12394, 18, 2706, 17, 7745, 16452, 5952, 3619, 481, 43988, 282, 10666, 282, 8267, 281, 478, 30731, 14313, 791, 355, 470, 473, 20, 30, 27, 814, 365, 803, 11258, 1845, 1532, 266, 7609, 1760, 16287, 289, 18462, 1032, 473, 20, 15, 24, 13, 26654, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 618, 2165, 686, 277, 470, 510, 478, 21664, 18113, 948, 861, 11333, 7036, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 6115, 1359, 382, 360, 45392, 16, 42832, 607, 16, 4365, 1262, 281, 1195, 589, 26774, 30, 282, 40867, 478, 20377, 748, 399, 470, 17178, 20450, 15781, 15803, 528, 487, 401, 478, 33522, 2246, 555, 16, 515, 16, 294, 10814, 16, 3689, 343, 470, 510, 17902, 451, 6428, 397, 16, 43736, 312, 5229, 20789, 18, 31224, 30, 20186, 564, 1293, 986, 14413, 6370, 528, 27551, 5073, 20641, 5537, 13127, 11210, 411, 26997, 523, 21915, 16, 961, 371, 24697, 281, 17997, 4947, 36163, 282, 47392, 448, 28532, 289, 27672, 6180, 11778, 382, 281, 12070, 12766, 10517, 368, 18, 46108, 505, 24069, 282, 40867, 478, 20377, 748, 399, 470, 4452, 334, 2222, 575, 20050, 18, 4185, 19303, 722, 7542, 473, 10595, 440, 17853, 16, 3057, 16, 282, 3705, 478, 2997, 300, 2844, 16, 1479, 1790, 16, 830, 1259, 717, 3732, 16, 14752, 539, 12235, 1513, 31661, 11735, 289, 2920, 899, 607, 6149, 360, 2701, 1487, 617, 5761, 18, 528, 27551, 17, 28678, 32072, 1632, 1349, 282, 1190, 11449, 455, 17, 23173, 440, 419, 424, 47538, 744, 2676, 1347, 17, 13715, 277, 1996, 46699, 16, 322, 327, 3363, 10250, 3101, 429, 1020, 12152, 7541, 16, 3808, 286, 268, 962, 289, 26928, 5419, 6753, 18, 528, 27551, 17, 464, 4642, 4415, 21976, 2712, 8059, 322, 2887, 48759, 16190, 5532, 40200, 17, 363, 3378, 1996, 46699, 13536, 2151, 399, 460, 613, 1624, 1029, 3275, 364, 289, 22832, 2137, 4650, 451, 13371, 23866, 18, 365, 8497, 17, 292, 528, 27551, 13382, 282, 13095, 1901, 1069, 4678, 25350, 1069, 6746, 1356, 473, 983, 987, 320, 16, 4025, 2798, 16, 2327, 277, 2347, 778, 13, 289, 11361, 292, 709, 1195, 1883, 35576, 16, 20870, 4496, 29460, 382, 581, 914, 265, 2300, 282, 32202, 848, 16024, 440, 5395, 16712, 473, 36741, 478, 822, 30788, 363, 18376, 282, 23978, 11523, 365, 6383, 17, 292, 10253, 24093, 1086, 334, 26841, 17702, 16, 590, 397, 12551, 874, 3806, 5090, 289, 16687, 6896, 42861, 289, 36777, 1519, 478, 4354, 1637, 448, 470, 9283, 26304, 11682, 18, 365, 4784, 16, 1146, 8783, 12774, 6524, 35970, 16, 428, 19454, 454, 16, 30280, 7487, 14073, 11839, 3724, 16, 3515, 620, 33153, 17051, 43697, 12649, 2672, 2936, 16, 322, 18508, 5132, 7045, 6829, 18, 46108, 478, 33522, 2246, 555, 910, 2805, 282, 22477, 281, 20641, 4699, 289, 475, 262, 1506, 7310, 33146, 845, 46769, 10369, 323, 15781, 282, 32533, 21095, 12152, 7541, 16, 367, 16084, 1447, 324, 289, 8660, 324, 16, 2686, 1320, 2397, 41274, 17853, 26974, 18, 3759, 27724, 6459, 904, 16, 360, 14583, 18384, 9104, 4148, 2857, 2236, 289, 924, 575, 7686, 48522, 15640, 665, 670, 381, 1359, 382, 360, 48567, 478, 13555, 451, 19310, 470, 519, 34812, 432, 15669, 281, 18639, 2389, 411, 13130, 18, 3428, 16, 3057, 16, 18673, 9131, 528, 1041, 294, 21004, 32594, 6166, 6161, 282, 970, 16, 374, 694, 16613, 16, 40388, 8965, 40374, 16, 1372, 484, 8030, 289, 33600, 11523, 4406, 289, 45780, 38849, 2958, 17594, 4011, 30, 478, 1358, 6249, 1909, 282, 6648, 541, 7602, 6587, 18, 740, 2900, 744, 7954, 16, 428, 528, 27551, 16, 935, 1122, 322, 639, 861, 47591, 478, 33522, 2246, 555, 470, 528, 27551, 2242, 333, 2603, 1211, 541, 965, 7487, 3774, 2770, 2385, 263, 289, 11435, 49632, 2582, 20014, 4216, 16362, 294, 3130, 18, 17417, 32072, 8580, 16, 374, 1089, 2422, 895, 953, 1008, 637, 687, 282, 19395, 16, 289, 15739, 281, 505, 3195, 282, 20412, 281, 47514, 456, 34440, 4365, 2922, 18, 13697, 2315, 647, 34812, 539, 32780, 7149, 315, 17, 382, 269, 589, 2514, 5244, 281, 23705, 478, 789, 3426, 274, 19542, 549, 1794, 648, 577, 549, 2925, 13262, 470, 541, 1047, 510, 481, 289, 7902, 16, 309, 1754, 5480, 3033, 5702, 1472, 855, 320, 5466, 46174, 3437, 17577, 4574, 668, 14264, 1066, 16, 289, 505, 17154, 478, 15164, 451, 10930, 861, 10196, 589, 283, 16, 4933, 322, 46480, 1815, 1329, 289, 282, 348, 489, 1510, 282, 965, 2651, 2246, 713, 611, 668, 5901, 7541, 16, 29847, 2848, 1195, 21946, 37008, 289, 2536, 14956, 23515, 7194, 1141, 17600, 2981, 18, 385, 326, 6519, 477, 20789, 45856, 4793, 29589, 510, 367, 2567, 309, 18860, 764, 1293, 16, 510, 3073, 16, 7451, 411, 21368, 538, 23932, 22768, 405, 1624, 753, 1039, 7787, 289, 37378, 3615, 319, 289, 505, 16, 289, 1992, 22950, 6945, 2122, 13213, 262, 14735, 18, 9418, 281, 14678, 353, 473, 370, 478, 40512, 1869, 11642, 784, 4836, 510, 18598, 294, 11385, 38953, 470, 519, 478, 29579, 1336, 13729, 485, 16, 687, 1329, 322, 13173, 9979, 745, 33310, 43920, 2837, 351, 877, 411, 24069, 16, 4451, 669, 2989, 722, 13124, 289, 5277, 16, 37209, 2545, 289, 502, 289, 4753, 18, 1598, 807, 420, 1752, 360, 46952, 262, 2376, 6959, 3920 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15277, 919, 282, 8999, 478, 45618, 486, 312, 861, 3557, 5547, 478, 27296, 17, 15900, 25547, 2266, 23682, 470, 18789, 3655, 11389, 281, 774, 34544, 304, 9699, 4019, 17121, 736, 304, 16, 47497, 12117, 4788, 7586, 18, 25582, 12101, 9518, 2706, 17, 7745, 47487, 18037, 282, 439, 14933, 16, 49302, 11166, 16287, 349, 8896, 277, 17, 27475, 478, 1532, 268, 2266, 2477, 470, 289, 1146, 7678, 19593, 1321, 23805, 14271, 491, 16, 11275, 371, 1393, 11186, 7961, 7707, 4744, 2449, 29523, 16, 29, 18, 7758, 349, 14261, 17121, 736, 19765, 19779, 16287, 282, 439, 14933, 289, 30682, 282, 1129, 13908, 9764, 16, 46843, 282, 11099, 491, 16, 12695, 15277, 919, 349, 5199, 289, 7961, 525, 29523, 16, 23, 13930, 4744, 2449, 18, 365, 29730, 774, 34544, 1055, 322, 19765, 537, 2236, 7977, 18, 2555, 3990, 4479, 779, 492, 14900, 11389, 281, 478, 730, 5944, 2266, 23682, 470, 282, 3106, 322, 2011, 287, 399, 712, 5540, 18567, 25499, 18, 439, 25236, 478, 19253, 637, 46871, 470, 42998, 1845, 1532, 266, 387, 18047, 309, 5270, 17, 23189, 27999, 8560, 411, 17, 431, 15831, 264, 41487, 7840, 16, 3110, 18045, 12394, 18, 2706, 17, 7745, 16452, 5952, 3619, 481, 43988, 282, 10666, 282, 8267, 281, 478, 30731, 14313, 791, 355, 470, 473, 20, 30, 27, 814, 365, 803, 11258, 1845, 1532, 266, 7609, 1760, 16287, 289, 18462, 1032, 473, 20, 15, 24, 13, 26654, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 618, 2165, 686, 277, 470, 510, 478, 21664, 18113, 948, 861, 11333, 7036, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 6115, 1359, 382, 360, 45392, 16, 42832, 607, 16, 4365, 1262, 281, 1195, 589, 26774, 30, 282, 40867, 478, 20377, 748, 399, 470, 17178, 20450, 15781, 15803, 528, 487, 401, 478, 33522, 2246, 555, 16, 515, 16, 294, 10814, 16, 3689, 343, 470, 510, 17902, 451, 6428, 397, 16, 43736, 312, 5229, 20789, 18, 31224, 30, 20186, 564, 1293, 986, 14413, 6370, 528, 27551, 5073, 20641, 5537, 13127, 11210, 411, 26997, 523, 21915, 16, 961, 371, 24697, 281, 17997, 4947, 36163, 282, 47392, 448, 28532, 289, 27672, 6180, 11778, 382, 281, 12070, 12766, 10517, 368, 18, 46108, 505, 24069, 282, 40867, 478, 20377, 748, 399, 470, 4452, 334, 2222, 575, 20050, 18, 4185, 19303, 722, 7542, 473, 10595, 440, 17853, 16, 3057, 16, 282, 3705, 478, 2997, 300, 2844, 16, 1479, 1790, 16, 830, 1259, 717, 3732, 16, 14752, 539, 12235, 1513, 31661, 11735, 289, 2920, 899, 607, 6149, 360, 2701, 1487, 617, 5761, 18, 528, 27551, 17, 28678, 32072, 1632, 1349, 282, 1190, 11449, 455, 17, 23173, 440, 419, 424, 47538, 744, 2676, 1347, 17, 13715, 277, 1996, 46699, 16, 322, 327, 3363, 10250, 3101, 429, 1020, 12152, 7541, 16, 3808, 286, 268, 962, 289, 26928, 5419, 6753, 18, 528, 27551, 17, 464, 4642, 4415, 21976, 2712, 8059, 322, 2887, 48759, 16190, 5532, 40200, 17, 363, 3378, 1996, 46699, 13536, 2151, 399, 460, 613, 1624, 1029, 3275, 364, 289, 22832, 2137, 4650, 451, 13371, 23866, 18, 365, 8497, 17, 292, 528, 27551, 13382, 282, 13095, 1901, 1069, 4678, 25350, 1069, 6746, 1356, 473, 983, 987, 320, 16, 4025, 2798, 16, 2327, 277, 2347, 778, 13, 289, 11361, 292, 709, 1195, 1883, 35576, 16, 20870, 4496, 29460, 382, 581, 914, 265, 2300, 282, 32202, 848, 16024, 440, 5395, 16712, 473, 36741, 478, 822, 30788, 363, 18376, 282, 23978, 11523, 365, 6383, 17, 292, 10253, 24093, 1086, 334, 26841, 17702, 16, 590, 397, 12551, 874, 3806, 5090, 289, 16687, 6896, 42861, 289, 36777, 1519, 478, 4354, 1637, 448, 470, 9283, 26304, 11682, 18, 365, 4784, 16, 1146, 8783, 12774, 6524, 35970, 16, 428, 19454, 454, 16, 30280, 7487, 14073, 11839, 3724, 16, 3515, 620, 33153, 17051, 43697, 12649, 2672, 2936, 16, 322, 18508, 5132, 7045, 6829, 18, 46108, 478, 33522, 2246, 555, 910, 2805, 282, 22477, 281, 20641, 4699, 289, 475, 262, 1506, 7310, 33146, 845, 46769, 10369, 323, 15781, 282, 32533, 21095, 12152, 7541, 16, 367, 16084, 1447, 324, 289, 8660, 324, 16, 2686, 1320, 2397, 41274, 17853, 26974, 18, 3759, 27724, 6459, 904, 16, 360, 14583, 18384, 9104, 4148, 2857, 2236, 289, 924, 575, 7686, 48522, 15640, 665, 670, 381, 1359, 382, 360, 48567, 478, 13555, 451, 19310, 470, 519, 34812, 432, 15669, 281, 18639, 2389, 411, 13130, 18, 3428, 16, 3057, 16, 18673, 9131, 528, 1041, 294, 21004, 32594, 6166, 6161, 282, 970, 16, 374, 694, 16613, 16, 40388, 8965, 40374, 16, 1372, 484, 8030, 289, 33600, 11523, 4406, 289, 45780, 38849, 2958, 17594, 4011, 30, 478, 1358, 6249, 1909, 282, 6648, 541, 7602, 6587, 18, 740, 2900, 744, 7954, 16, 428, 528, 27551, 16, 935, 1122, 322, 639, 861, 47591, 478, 33522, 2246, 555, 470, 528, 27551, 2242, 333, 2603, 1211, 541, 965, 7487, 3774, 2770, 2385, 263, 289, 11435, 49632, 2582, 20014, 4216, 16362, 294, 3130, 18, 17417, 32072, 8580, 16, 374, 1089, 2422, 895, 953, 1008, 637, 687, 282, 19395, 16, 289, 15739, 281, 505, 3195, 282, 20412, 281, 47514, 456, 34440, 4365, 2922, 18, 13697, 2315, 647, 34812, 539, 32780, 7149, 315, 17, 382, 269, 589, 2514, 5244, 281, 23705, 478, 789, 3426, 274, 19542, 549, 1794, 648, 577, 549, 2925, 13262, 470, 541, 1047, 510, 481, 289, 7902, 16, 309, 1754, 5480, 3033, 5702, 1472, 855, 320, 5466, 46174, 3437, 17577, 4574, 668, 14264, 1066, 16, 289, 505, 17154, 478, 15164, 451, 10930, 861, 10196, 589, 283, 16, 4933, 322, 46480, 1815, 1329, 289, 282, 348, 489, 1510, 282, 965, 2651, 2246, 713, 611, 668, 5901, 7541, 16, 29847, 2848, 1195, 21946, 37008, 289, 2536, 14956, 23515, 7194, 1141, 17600, 2981, 18, 385, 326, 6519, 477, 20789, 45856, 4793, 29589, 510, 367, 2567, 309, 18860, 764, 1293, 16, 510, 3073, 16, 7451, 411, 21368, 538, 23932, 22768, 405, 1624, 753, 1039, 7787, 289, 37378, 3615, 319, 289, 505, 16, 289, 1992, 22950, 6945, 2122, 13213, 262, 14735, 18, 9418, 281, 14678, 353, 473, 370, 478, 40512, 1869, 11642, 784, 4836, 510, 18598, 294, 11385, 38953, 470, 519, 478, 29579, 1336, 13729, 485, 16, 687, 1329, 322, 13173, 9979, 745, 33310, 43920, 2837, 351, 877, 411, 24069, 16, 4451, 669, 2989, 722, 13124, 289, 5277, 16, 37209, 2545, 289, 502, 289, 4753, 18, 1598, 807, 420, 1752, 360, 46952, 262, 2376, 6959, 3920 ]
[ 505, 13423, 1901, 8355, 16, 528, 27551, 1559, 351, 5620, 13124, 18, 817, 7220, 360, 5277, 16, 5889, 346, 4365, 419, 16, 5319, 8264, 309, 42701, 1247, 30, 5414, 23503, 5048, 416, 16, 367, 5414, 14144, 416, 9506, 1330, 35, 740, 7902, 16, 4365, 285, 289, 19018, 41880, 3834, 18, 9570, 9780, 9131, 18862, 16, 18639, 354, 411, 2024, 21754, 1037, 798, 764, 309, 2059, 25097, 30, 478, 5798, 16246, 4365, 285, 18012, 335, 847, 309, 1315, 16, 428, 18173, 16, 1461, 306, 295, 2838, 374, 17, 1796, 861, 528, 27551, 289, 1461, 306, 305, 510, 45392, 448, 381, 1359, 382, 16, 3441, 289, 1613, 575, 43533, 42832, 877, 16, 1758, 17399, 24322, 22868, 392, 18, 459, 2733, 2175, 15156, 3364, 1545, 6428, 397, 16, 28832, 1779, 282, 1190, 32965, 290, 11351, 24973, 343, 289, 17676, 6905, 41477, 2099, 617, 16, 290, 5464, 15305, 9350, 24069, 16, 290, 690, 1484, 15781, 289, 478, 15307, 750, 40374, 861, 1268, 413, 1231, 539, 45013, 528, 487, 401, 27830, 33440, 4963, 11151, 16, 3887, 3732, 282, 21132, 366, 4543, 1280, 289, 6575, 16, 289, 38485, 30260, 16, 289, 16311, 24841, 16, 322, 1758, 6526, 520, 481, 49670, 37881, 662, 282, 16712, 16, 3057, 16, 505, 1810, 281, 4216, 16362, 478, 6161, 373, 417, 31111, 14292, 16, 784, 5995, 373, 322, 639, 861, 1268, 15868, 7417, 2585, 284, 356, 2499, 3974, 419, 2742, 8497, 17, 292, 492, 2944, 7777, 18, 1268, 6015, 3314, 281, 3806, 2466, 794, 11536, 27806, 289, 3424, 40071, 411, 1263, 4642, 23392, 15051, 11778, 281, 12070, 29506, 393, 18628, 16, 3073, 16, 1320, 18, 46108, 478, 33522, 2246, 555, 470, 510, 11860, 5103, 282, 2962, 432, 49059, 16, 7781, 366, 3169, 549, 18666, 16, 5667, 1754, 8874, 3964, 349, 722, 14536, 18, 14419, 453, 575, 16, 428, 289, 282, 1750, 281, 11851, 9188, 282, 10930, 49743, 478, 563, 6326, 8874, 349, 14536, 9756, 470, 309, 2059, 411, 904, 15781, 18, 2, 1, 87, 1456, 81, 2448, 30, 14237, 1502, 1133, 2891, 6354, 11960, 5693, 9085, 16, 34688, 42647, 6617, 18, 21552, 3352, 8144, 14652, 616, 15445, 17, 1295, 262, 643, 265, 11661, 16, 374, 27357, 328, 726, 25356, 475, 9980, 6549, 18, 10110, 2145, 38783, 21821, 26003, 29608, 9001, 9620, 349, 3003, 38773, 3860, 18, 31224, 30, 822, 2707, 328, 11661, 16, 374, 2259, 11960, 5693, 334, 6663, 10321, 445, 2830, 954, 16, 961, 975, 11103, 341, 9085, 18, 20346, 8099, 3352, 8144, 14652, 616, 15445, 17, 1295, 262, 643, 265, 764, 445, 11661, 16, 374, 13450, 1133, 2891, 7650, 3010, 1175, 334, 11447, 3707, 360, 42647, 6617, 1624, 1029, 282, 11877, 685, 22342, 363, 309, 25909, 6677, 11896, 2407, 11088, 11785, 756, 289, 6677, 2450, 476, 513, 2145, 14008, 31232, 282, 49650, 18, 21552, 8144, 334, 7546, 15185, 18091, 2804, 7362, 20678, 868, 1038, 13749, 16, 374, 2891, 478, 960, 577, 3834, 870, 26665, 861, 478, 563, 2059, 1963, 16, 745, 12107, 13450, 4287, 6863, 411, 12142, 16, 281, 2107, 1963, 510, 745, 10908, 3467, 7812, 1279, 8144, 16, 5371, 275, 21389, 317, 541, 1110, 16, 1085, 2963, 722, 1531, 17651, 16, 510, 2815, 8099, 18, 510, 889, 16410, 541, 8144, 16, 558, 8469, 5103, 4426, 7168, 16625, 17297, 861, 365, 5118, 281, 22342, 6279, 5037, 353, 32975, 408, 36193, 1175, 289, 2145, 7459, 16362, 16, 13450, 1880, 6663, 3878, 5472, 2993, 953, 4088, 1569, 670, 35813, 1569, 411, 8144, 294, 8151, 2801, 779, 18, 5890, 282, 12838, 978, 779, 309, 13450, 2127, 9482, 10498, 446, 487, 25207, 14697, 16, 961, 1747, 15807, 445, 2830, 468, 18, 4530, 867, 726, 282, 10666, 18165, 14995, 9085, 13465, 10671, 38090, 1257, 1145, 341, 7005, 5981, 14971, 13858, 3320, 290, 24592, 442, 878, 2305, 274, 3695, 4160, 424, 27357, 1212, 18, 9736, 1066, 290, 970, 16, 374, 11205, 2259, 16, 11661, 289, 9216, 3463, 9573, 2632, 334, 6663, 10321, 49992, 439, 582, 17535, 271, 10783, 18, 365, 1169, 1747, 12299, 15270, 5024, 30, 21717, 4412, 281, 2223, 13784, 16, 24803, 4829, 18581, 16, 367, 1038, 7005, 653, 8783, 14891, 289, 22162, 18, 985, 2438, 3665, 1273, 45367, 1624, 567, 808, 5743, 23143, 4900, 4069, 40614, 9085, 282, 6835, 17, 17553, 282, 2343, 3597, 16, 988, 840, 8271, 9488, 13450, 778, 13013, 16, 4770, 2145, 895, 12981, 281, 18813, 18924, 33879, 8676, 5675, 6399, 307, 18, 21821, 282, 7337, 9577, 1918, 44461, 11661, 16, 374, 492, 7544, 3382, 7792, 353, 281, 5675, 6399, 307, 289, 3957, 17239, 1086, 18014, 1782, 21358, 324, 541, 40669, 23989, 282, 8144, 18, 4922, 4765, 895, 9555, 4056, 309, 4116, 12896, 5066, 1251, 2145, 289, 45914, 349, 4101, 19606, 18, 365, 970, 575, 7337, 44461, 21821, 16328, 17349, 1175, 349, 722, 9985, 15238, 24877, 18, 478, 1358, 322, 3684, 16, 374, 4380, 6732, 367, 38886, 281, 13092, 18, 459, 16, 9121, 16, 445, 492, 26880, 35251, 16, 329, 1047, 1965, 4753, 6843, 294, 13450, 2818, 49528, 18, 740, 417, 3153, 975, 5112, 16, 374, 656, 5826, 33337, 282, 10908, 4840, 44252, 21595, 18, 629, 3684, 16, 6732, 895, 18908, 20597, 4119, 282, 13450, 1212, 17691, 18, 459, 16, 4813, 309, 39588, 1251, 13092, 17986, 16, 417, 6129, 15346, 505, 3455, 18, 629, 3478, 6317, 16, 827, 492, 27176, 309, 965, 8341, 349, 3193, 1728, 22691, 35251, 289, 349, 3003, 3860, 42647, 6617, 18, 889, 322, 31025, 6888, 18, 2387, 5522, 20791, 1251, 11965, 5056, 8833, 2389, 289, 9609, 861, 967, 803, 21821, 9299, 16, 374, 33063, 12724, 1175, 282, 8144, 322, 3717, 4026, 27952, 2145, 18, 478, 732, 307, 377, 3653, 342, 281, 2901, 17003, 16, 5938, 1754, 27357, 328, 1943, 21903, 6663, 3878, 5472, 424, 21487, 6457, 16, 2397, 541, 4534, 26659, 18, 1253, 1441, 2879, 953, 11792, 16, 374, 329, 1710, 8162, 1333, 4693, 309, 965, 8341, 349, 25096, 5969, 6059, 910, 510, 5301, 1273, 27971, 15402, 24639, 18, 478, 563, 11383, 1979, 16, 5575, 32221, 282, 11877, 16, 510, 481, 16410, 428, 541, 4534, 16, 453, 289, 541, 31988, 16, 515, 371, 15128, 16, 374, 2650, 840, 7243, 9368, 16, 374, 1055, 322, 4116, 8084, 910, 510, 45670, 10958, 18, 365, 502, 575, 808, 6260, 31232, 9280, 2159, 4789, 1880, 3676, 404, 16, 282, 4542, 2024, 8643, 9744, 290, 8144, 18, 365, 10666, 411, 43251, 16, 988, 492, 26390, 281, 7638, 17, 41854, 16145, 44027, 14060, 547, 2387, 28168, 3910, 1624, 31232, 10212 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 505, 13423, 1901, 8355, 16, 528, 27551, 1559, 351, 5620, 13124, 18, 817, 7220, 360, 5277, 16, 5889, 346, 4365, 419, 16, 5319, 8264, 309, 42701, 1247, 30, 5414, 23503, 5048, 416, 16, 367, 5414, 14144, 416, 9506, 1330, 35, 740, 7902, 16, 4365, 285, 289, 19018, 41880, 3834, 18, 9570, 9780, 9131, 18862, 16, 18639, 354, 411, 2024, 21754, 1037, 798, 764, 309, 2059, 25097, 30, 478, 5798, 16246, 4365, 285, 18012, 335, 847, 309, 1315, 16, 428, 18173, 16, 1461, 306, 295, 2838, 374, 17, 1796, 861, 528, 27551, 289, 1461, 306, 305, 510, 45392, 448, 381, 1359, 382, 16, 3441, 289, 1613, 575, 43533, 42832, 877, 16, 1758, 17399, 24322, 22868, 392, 18, 459, 2733, 2175, 15156, 3364, 1545, 6428, 397, 16, 28832, 1779, 282, 1190, 32965, 290, 11351, 24973, 343, 289, 17676, 6905, 41477, 2099, 617, 16, 290, 5464, 15305, 9350, 24069, 16, 290, 690, 1484, 15781, 289, 478, 15307, 750, 40374, 861, 1268, 413, 1231, 539, 45013, 528, 487, 401, 27830, 33440, 4963, 11151, 16, 3887, 3732, 282, 21132, 366, 4543, 1280, 289, 6575, 16, 289, 38485, 30260, 16, 289, 16311, 24841, 16, 322, 1758, 6526, 520, 481, 49670, 37881, 662, 282, 16712, 16, 3057, 16, 505, 1810, 281, 4216, 16362, 478, 6161, 373, 417, 31111, 14292, 16, 784, 5995, 373, 322, 639, 861, 1268, 15868, 7417, 2585, 284, 356, 2499, 3974, 419, 2742, 8497, 17, 292, 492, 2944, 7777, 18, 1268, 6015, 3314, 281, 3806, 2466, 794, 11536, 27806, 289, 3424, 40071, 411, 1263, 4642, 23392, 15051, 11778, 281, 12070, 29506, 393, 18628, 16, 3073, 16, 1320, 18, 46108, 478, 33522, 2246, 555, 470, 510, 11860, 5103, 282, 2962, 432, 49059, 16, 7781, 366, 3169, 549, 18666, 16, 5667, 1754, 8874, 3964, 349, 722, 14536, 18, 14419, 453, 575, 16, 428, 289, 282, 1750, 281, 11851, 9188, 282, 10930, 49743, 478, 563, 6326, 8874, 349, 14536, 9756, 470, 309, 2059, 411, 904, 15781, 18, 2, 1, 87, 1456, 81, 2448, 30, 14237, 1502, 1133, 2891, 6354, 11960, 5693, 9085, 16, 34688, 42647, 6617, 18, 21552, 3352, 8144, 14652, 616, 15445, 17, 1295, 262, 643, 265, 11661, 16, 374, 27357, 328, 726, 25356, 475, 9980, 6549, 18, 10110, 2145, 38783, 21821, 26003, 29608, 9001, 9620, 349, 3003, 38773, 3860, 18, 31224, 30, 822, 2707, 328, 11661, 16, 374, 2259, 11960, 5693, 334, 6663, 10321, 445, 2830, 954, 16, 961, 975, 11103, 341, 9085, 18, 20346, 8099, 3352, 8144, 14652, 616, 15445, 17, 1295, 262, 643, 265, 764, 445, 11661, 16, 374, 13450, 1133, 2891, 7650, 3010, 1175, 334, 11447, 3707, 360, 42647, 6617, 1624, 1029, 282, 11877, 685, 22342, 363, 309, 25909, 6677, 11896, 2407, 11088, 11785, 756, 289, 6677, 2450, 476, 513, 2145, 14008, 31232, 282, 49650, 18, 21552, 8144, 334, 7546, 15185, 18091, 2804, 7362, 20678, 868, 1038, 13749, 16, 374, 2891, 478, 960, 577, 3834, 870, 26665, 861, 478, 563, 2059, 1963, 16, 745, 12107, 13450, 4287, 6863, 411, 12142, 16, 281, 2107, 1963, 510, 745, 10908, 3467, 7812, 1279, 8144, 16, 5371, 275, 21389, 317, 541, 1110, 16, 1085, 2963, 722, 1531, 17651, 16, 510, 2815, 8099, 18, 510, 889, 16410, 541, 8144, 16, 558, 8469, 5103, 4426, 7168, 16625, 17297, 861, 365, 5118, 281, 22342, 6279, 5037, 353, 32975, 408, 36193, 1175, 289, 2145, 7459, 16362, 16, 13450, 1880, 6663, 3878, 5472, 2993, 953, 4088, 1569, 670, 35813, 1569, 411, 8144, 294, 8151, 2801, 779, 18, 5890, 282, 12838, 978, 779, 309, 13450, 2127, 9482, 10498, 446, 487, 25207, 14697, 16, 961, 1747, 15807, 445, 2830, 468, 18, 4530, 867, 726, 282, 10666, 18165, 14995, 9085, 13465, 10671, 38090, 1257, 1145, 341, 7005, 5981, 14971, 13858, 3320, 290, 24592, 442, 878, 2305, 274, 3695, 4160, 424, 27357, 1212, 18, 9736, 1066, 290, 970, 16, 374, 11205, 2259, 16, 11661, 289, 9216, 3463, 9573, 2632, 334, 6663, 10321, 49992, 439, 582, 17535, 271, 10783, 18, 365, 1169, 1747, 12299, 15270, 5024, 30, 21717, 4412, 281, 2223, 13784, 16, 24803, 4829, 18581, 16, 367, 1038, 7005, 653, 8783, 14891, 289, 22162, 18, 985, 2438, 3665, 1273, 45367, 1624, 567, 808, 5743, 23143, 4900, 4069, 40614, 9085, 282, 6835, 17, 17553, 282, 2343, 3597, 16, 988, 840, 8271, 9488, 13450, 778, 13013, 16, 4770, 2145, 895, 12981, 281, 18813, 18924, 33879, 8676, 5675, 6399, 307, 18, 21821, 282, 7337, 9577, 1918, 44461, 11661, 16, 374, 492, 7544, 3382, 7792, 353, 281, 5675, 6399, 307, 289, 3957, 17239, 1086, 18014, 1782, 21358, 324, 541, 40669, 23989, 282, 8144, 18, 4922, 4765, 895, 9555, 4056, 309, 4116, 12896, 5066, 1251, 2145, 289, 45914, 349, 4101, 19606, 18, 365, 970, 575, 7337, 44461, 21821, 16328, 17349, 1175, 349, 722, 9985, 15238, 24877, 18, 478, 1358, 322, 3684, 16, 374, 4380, 6732, 367, 38886, 281, 13092, 18, 459, 16, 9121, 16, 445, 492, 26880, 35251, 16, 329, 1047, 1965, 4753, 6843, 294, 13450, 2818, 49528, 18, 740, 417, 3153, 975, 5112, 16, 374, 656, 5826, 33337, 282, 10908, 4840, 44252, 21595, 18, 629, 3684, 16, 6732, 895, 18908, 20597, 4119, 282, 13450, 1212, 17691, 18, 459, 16, 4813, 309, 39588, 1251, 13092, 17986, 16, 417, 6129, 15346, 505, 3455, 18, 629, 3478, 6317, 16, 827, 492, 27176, 309, 965, 8341, 349, 3193, 1728, 22691, 35251, 289, 349, 3003, 3860, 42647, 6617, 18, 889, 322, 31025, 6888, 18, 2387, 5522, 20791, 1251, 11965, 5056, 8833, 2389, 289, 9609, 861, 967, 803, 21821, 9299, 16, 374, 33063, 12724, 1175, 282, 8144, 322, 3717, 4026, 27952, 2145, 18, 478, 732, 307, 377, 3653, 342, 281, 2901, 17003, 16, 5938, 1754, 27357, 328, 1943, 21903, 6663, 3878, 5472, 424, 21487, 6457, 16, 2397, 541, 4534, 26659, 18, 1253, 1441, 2879, 953, 11792, 16, 374, 329, 1710, 8162, 1333, 4693, 309, 965, 8341, 349, 25096, 5969, 6059, 910, 510, 5301, 1273, 27971, 15402, 24639, 18, 478, 563, 11383, 1979, 16, 5575, 32221, 282, 11877, 16, 510, 481, 16410, 428, 541, 4534, 16, 453, 289, 541, 31988, 16, 515, 371, 15128, 16, 374, 2650, 840, 7243, 9368, 16, 374, 1055, 322, 4116, 8084, 910, 510, 45670, 10958, 18, 365, 502, 575, 808, 6260, 31232, 9280, 2159, 4789, 1880, 3676, 404, 16, 282, 4542, 2024, 8643, 9744, 290, 8144, 18, 365, 10666, 411, 43251, 16, 988, 492, 26390, 281, 7638, 17, 41854, 16145, 44027, 14060, 547, 2387, 28168, 3910, 1624, 31232, 10212 ]
[ 341, 282, 13734, 18, 365, 12349, 17125, 1212, 20536, 282, 10666, 31232, 289, 9362, 7796, 1552, 10676, 44719, 20678, 486, 11834, 4770, 5670, 22917, 14458, 6047, 18, 4541, 5826, 6116, 3997, 35386, 10927, 281, 23049, 17690, 21770, 4529, 48521, 547, 9833, 818, 18432, 18, 403, 1498, 1038, 10006, 1463, 5037, 32975, 346, 11413, 11752, 43892, 981, 29673, 317, 1528, 1492, 2, 1, 87, 1456, 81, 2448, 30, 41825, 1310, 300, 478, 11825, 17, 5493, 470, 4226, 4830, 7316, 282, 43788, 554, 597, 37917, 11088, 5452, 274, 5539, 309, 3059, 22104, 4534, 18, 37451, 290, 505, 33139, 19346, 4788, 14243, 477, 7755, 309, 3781, 17, 42885, 21569, 18, 13925, 365, 1009, 46748, 41868, 6406, 8495, 289, 25341, 505, 3022, 416, 7183, 2206, 16256, 382, 18, 31224, 30, 684, 9747, 14515, 5576, 14236, 282, 3507, 26503, 39654, 837, 4788, 7904, 22065, 478, 11825, 17, 5493, 470, 23229, 48976, 11043, 620, 9541, 17, 293, 30557, 11088, 5452, 274, 5539, 18, 37451, 290, 970, 16, 374, 4770, 7316, 282, 43788, 554, 597, 37917, 11088, 5452, 274, 5539, 16, 11116, 309, 3614, 1689, 1597, 77, 18, 1572, 282, 10882, 16, 282, 1286, 18, 8492, 4079, 18, 403, 10096, 4079, 8495, 11614, 1511, 14768, 624, 18, 478, 15210, 470, 4263, 1030, 1433, 16, 1586, 1373, 575, 7248, 44104, 282, 5792, 18, 4852, 1939, 1879, 1011, 978, 478, 15210, 470, 685, 11189, 12707, 381, 41868, 8292, 3352, 16, 367, 3781, 17, 15975, 7179, 4830, 12975, 10648, 12568, 282, 7337, 478, 26627, 17, 818, 17, 440, 470, 8977, 16, 374, 20526, 28228, 360, 3781, 17, 14130, 21569, 1055, 322, 48273, 18, 365, 1409, 18, 2932, 5854, 3781, 17, 14130, 22065, 5828, 17735, 16, 374, 8495, 42358, 18, 478, 789, 17587, 16256, 382, 685, 334, 35633, 26306, 1347, 19300, 1235, 309, 3614, 30317, 21086, 282, 12462, 289, 2512, 1393, 1682, 1390, 282, 1294, 4254, 1015, 304, 39286, 13267, 31090, 478, 677, 2656, 37247, 470, 1624, 510, 15875, 31244, 17, 14149, 1694, 19361, 22065, 18, 32529, 6700, 35544, 365, 1009, 46748, 6370, 6825, 1051, 9848, 478, 46088, 18, 8381, 910, 374, 28386, 16483, 13132, 289, 764, 281, 14986, 1511, 18302, 13280, 18, 478, 682, 20786, 281, 4335, 16256, 368, 906, 7280, 5371, 354, 478, 429, 820, 470, 289, 745, 7134, 309, 3614, 1689, 1597, 77, 18, 1572, 18, 3747, 5747, 5825, 906, 41868, 8087, 16, 294, 2222, 1612, 8495, 396, 5452, 274, 5539, 639, 726, 17166, 910, 510, 2548, 6825, 1051, 18, 817, 15135, 16, 374, 2388, 16256, 382, 912, 16, 478, 263, 11728, 16, 309, 1209, 470, 16249, 18, 478, 4441, 939, 30283, 1712, 16, 15215, 549, 16, 6018, 549, 16, 515, 15891, 3128, 50200, 16483, 18, 1345, 5087, 477, 1360, 1963, 687, 15438, 28783, 910, 510, 2815, 2076, 5039, 35544, 365, 1009, 46748, 18, 47194, 755, 16, 733, 13027, 1891, 675, 1779, 579, 1344, 282, 3103, 4079, 282, 10882, 16, 6660, 484, 10556, 304, 18, 478, 37293, 333, 755, 840, 24482, 1282, 7615, 363, 30, 505, 8935, 4903, 549, 16, 515, 322, 529, 37180, 3626, 18, 889, 3022, 549, 16483, 282, 41403, 19138, 409, 910, 510, 9848, 6825, 1051, 18, 824, 14371, 329, 4830, 5290, 764, 2846, 2299, 473, 35464, 10882, 934, 541, 924, 753, 18894, 2236, 411, 16249, 309, 23512, 282, 3187, 2234, 12760, 473, 275, 3178, 10096, 2868, 477, 2299, 14665, 477, 4806, 1212, 16, 44454, 1116, 478, 30635, 9609, 470, 1624, 502, 912, 281, 2287, 3802, 814, 37385, 305, 4770, 411, 6566, 1135, 510, 9541, 17, 293, 30557, 510, 6677, 14392, 5439, 11088, 5452, 274, 5539, 16, 9362, 10547, 18083, 9867, 341, 884, 1624, 13526, 33463, 1767, 25734, 18816, 15043, 289, 4183, 18065, 11050, 5439, 4534, 42706, 1018, 1034, 10237, 1161, 18, 2112, 10204, 4830, 764, 1533, 2868, 541, 26128, 22104, 912, 329, 43788, 8827, 18, 740, 16, 3848, 1223, 16, 14668, 8192, 726, 309, 5421, 1119, 1011, 38280, 6574, 2087, 18, 20346, 42915, 18164, 11919, 4137, 6698, 21322, 6517, 2345, 16, 374, 3187, 2497, 16872, 1698, 30700, 289, 282, 16741, 18, 478, 14102, 6055, 3793, 11031, 22104, 8056, 309, 45273, 547, 11073, 18, 8919, 4618, 16089, 541, 2001, 16, 4618, 2599, 10823, 16, 374, 1336, 942, 4745, 8538, 309, 45273, 539, 14668, 910, 651, 2815, 6698, 21322, 18, 889, 322, 2615, 3022, 16, 785, 365, 1009, 46748, 3110, 290, 764, 322, 14170, 973, 17758, 18, 996, 16, 3695, 4160, 24036, 478, 11825, 17, 5493, 470, 3828, 290, 1541, 9314, 8296, 4202, 478, 42415, 470, 334, 11195, 582, 37879, 2931, 718, 8911, 16, 1830, 3253, 21982, 906, 12731, 8087, 309, 3405, 4160, 18, 478, 18771, 3818, 10172, 37870, 3320, 41280, 2159, 6843, 294, 10366, 552, 282, 10720, 8911, 16, 1029, 6382, 309, 20068, 680, 6394, 910, 510, 13985, 3064, 21576, 16, 14022, 1063, 12750, 282, 8156, 37879, 2931, 718, 8911, 16, 1029, 685, 1038, 12731, 1390, 309, 3405, 4160, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 12241, 282, 38462, 13226, 382, 11804, 1414, 478, 1464, 433, 582, 470, 31834, 281, 478, 1009, 455, 354, 23218, 339, 470, 47149, 10133, 430, 19, 28, 21451, 16180, 17793, 18, 12404, 2117, 282, 29685, 41971, 22588, 8236, 416, 541, 17506, 7586, 12932, 430, 30, 21, 18, 31224, 30, 2783, 3990, 282, 38462, 13226, 382, 11804, 1414, 2753, 847, 6940, 37131, 26608, 16180, 17793, 651, 282, 1078, 547, 8267, 430, 19, 28, 21451, 6280, 467, 20065, 478, 1464, 433, 582, 470, 289, 11277, 1270, 478, 1009, 455, 354, 507, 4790, 861, 365, 5572, 8267, 282, 29685, 41971, 906, 10750, 8087, 537, 11867, 477, 12932, 430, 30, 21, 16, 1586, 18087, 282, 1335, 21555, 49338, 496, 12267, 778, 3216, 18, 5749, 4287, 322, 3225, 18548, 478, 1009, 455, 354, 507, 4790, 470, 282, 4462, 13021, 14886, 29196, 1624, 3364, 455, 5352, 14393, 874, 309, 4577, 16, 1830, 17701, 282, 5329, 46978, 289, 537, 11867, 18, 37251, 8560, 2158, 478, 1464, 433, 582, 470, 653, 331, 42989, 300, 6441, 594, 277, 296, 896, 718, 7977, 16, 334, 4734, 7586, 16, 289, 2594, 38197, 778, 39914, 478, 1009, 455, 354, 507, 1164, 470, 450, 578, 1919, 450, 3323, 807, 10372, 33692, 315, 1576, 637, 541, 8465, 282, 38396, 17793, 18, 450, 3323, 807, 477, 15506, 304, 4193, 364, 411, 32137, 7586, 478, 1464, 363, 21580, 1034, 27531, 3910, 264, 910, 289, 14698, 309, 18804, 282, 9878, 16690, 3619, 1472, 1912, 3750, 16, 1655, 428, 3017, 9512, 17696, 10465, 525 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 341, 282, 13734, 18, 365, 12349, 17125, 1212, 20536, 282, 10666, 31232, 289, 9362, 7796, 1552, 10676, 44719, 20678, 486, 11834, 4770, 5670, 22917, 14458, 6047, 18, 4541, 5826, 6116, 3997, 35386, 10927, 281, 23049, 17690, 21770, 4529, 48521, 547, 9833, 818, 18432, 18, 403, 1498, 1038, 10006, 1463, 5037, 32975, 346, 11413, 11752, 43892, 981, 29673, 317, 1528, 1492, 2, 1, 87, 1456, 81, 2448, 30, 41825, 1310, 300, 478, 11825, 17, 5493, 470, 4226, 4830, 7316, 282, 43788, 554, 597, 37917, 11088, 5452, 274, 5539, 309, 3059, 22104, 4534, 18, 37451, 290, 505, 33139, 19346, 4788, 14243, 477, 7755, 309, 3781, 17, 42885, 21569, 18, 13925, 365, 1009, 46748, 41868, 6406, 8495, 289, 25341, 505, 3022, 416, 7183, 2206, 16256, 382, 18, 31224, 30, 684, 9747, 14515, 5576, 14236, 282, 3507, 26503, 39654, 837, 4788, 7904, 22065, 478, 11825, 17, 5493, 470, 23229, 48976, 11043, 620, 9541, 17, 293, 30557, 11088, 5452, 274, 5539, 18, 37451, 290, 970, 16, 374, 4770, 7316, 282, 43788, 554, 597, 37917, 11088, 5452, 274, 5539, 16, 11116, 309, 3614, 1689, 1597, 77, 18, 1572, 282, 10882, 16, 282, 1286, 18, 8492, 4079, 18, 403, 10096, 4079, 8495, 11614, 1511, 14768, 624, 18, 478, 15210, 470, 4263, 1030, 1433, 16, 1586, 1373, 575, 7248, 44104, 282, 5792, 18, 4852, 1939, 1879, 1011, 978, 478, 15210, 470, 685, 11189, 12707, 381, 41868, 8292, 3352, 16, 367, 3781, 17, 15975, 7179, 4830, 12975, 10648, 12568, 282, 7337, 478, 26627, 17, 818, 17, 440, 470, 8977, 16, 374, 20526, 28228, 360, 3781, 17, 14130, 21569, 1055, 322, 48273, 18, 365, 1409, 18, 2932, 5854, 3781, 17, 14130, 22065, 5828, 17735, 16, 374, 8495, 42358, 18, 478, 789, 17587, 16256, 382, 685, 334, 35633, 26306, 1347, 19300, 1235, 309, 3614, 30317, 21086, 282, 12462, 289, 2512, 1393, 1682, 1390, 282, 1294, 4254, 1015, 304, 39286, 13267, 31090, 478, 677, 2656, 37247, 470, 1624, 510, 15875, 31244, 17, 14149, 1694, 19361, 22065, 18, 32529, 6700, 35544, 365, 1009, 46748, 6370, 6825, 1051, 9848, 478, 46088, 18, 8381, 910, 374, 28386, 16483, 13132, 289, 764, 281, 14986, 1511, 18302, 13280, 18, 478, 682, 20786, 281, 4335, 16256, 368, 906, 7280, 5371, 354, 478, 429, 820, 470, 289, 745, 7134, 309, 3614, 1689, 1597, 77, 18, 1572, 18, 3747, 5747, 5825, 906, 41868, 8087, 16, 294, 2222, 1612, 8495, 396, 5452, 274, 5539, 639, 726, 17166, 910, 510, 2548, 6825, 1051, 18, 817, 15135, 16, 374, 2388, 16256, 382, 912, 16, 478, 263, 11728, 16, 309, 1209, 470, 16249, 18, 478, 4441, 939, 30283, 1712, 16, 15215, 549, 16, 6018, 549, 16, 515, 15891, 3128, 50200, 16483, 18, 1345, 5087, 477, 1360, 1963, 687, 15438, 28783, 910, 510, 2815, 2076, 5039, 35544, 365, 1009, 46748, 18, 47194, 755, 16, 733, 13027, 1891, 675, 1779, 579, 1344, 282, 3103, 4079, 282, 10882, 16, 6660, 484, 10556, 304, 18, 478, 37293, 333, 755, 840, 24482, 1282, 7615, 363, 30, 505, 8935, 4903, 549, 16, 515, 322, 529, 37180, 3626, 18, 889, 3022, 549, 16483, 282, 41403, 19138, 409, 910, 510, 9848, 6825, 1051, 18, 824, 14371, 329, 4830, 5290, 764, 2846, 2299, 473, 35464, 10882, 934, 541, 924, 753, 18894, 2236, 411, 16249, 309, 23512, 282, 3187, 2234, 12760, 473, 275, 3178, 10096, 2868, 477, 2299, 14665, 477, 4806, 1212, 16, 44454, 1116, 478, 30635, 9609, 470, 1624, 502, 912, 281, 2287, 3802, 814, 37385, 305, 4770, 411, 6566, 1135, 510, 9541, 17, 293, 30557, 510, 6677, 14392, 5439, 11088, 5452, 274, 5539, 16, 9362, 10547, 18083, 9867, 341, 884, 1624, 13526, 33463, 1767, 25734, 18816, 15043, 289, 4183, 18065, 11050, 5439, 4534, 42706, 1018, 1034, 10237, 1161, 18, 2112, 10204, 4830, 764, 1533, 2868, 541, 26128, 22104, 912, 329, 43788, 8827, 18, 740, 16, 3848, 1223, 16, 14668, 8192, 726, 309, 5421, 1119, 1011, 38280, 6574, 2087, 18, 20346, 42915, 18164, 11919, 4137, 6698, 21322, 6517, 2345, 16, 374, 3187, 2497, 16872, 1698, 30700, 289, 282, 16741, 18, 478, 14102, 6055, 3793, 11031, 22104, 8056, 309, 45273, 547, 11073, 18, 8919, 4618, 16089, 541, 2001, 16, 4618, 2599, 10823, 16, 374, 1336, 942, 4745, 8538, 309, 45273, 539, 14668, 910, 651, 2815, 6698, 21322, 18, 889, 322, 2615, 3022, 16, 785, 365, 1009, 46748, 3110, 290, 764, 322, 14170, 973, 17758, 18, 996, 16, 3695, 4160, 24036, 478, 11825, 17, 5493, 470, 3828, 290, 1541, 9314, 8296, 4202, 478, 42415, 470, 334, 11195, 582, 37879, 2931, 718, 8911, 16, 1830, 3253, 21982, 906, 12731, 8087, 309, 3405, 4160, 18, 478, 18771, 3818, 10172, 37870, 3320, 41280, 2159, 6843, 294, 10366, 552, 282, 10720, 8911, 16, 1029, 6382, 309, 20068, 680, 6394, 910, 510, 13985, 3064, 21576, 16, 14022, 1063, 12750, 282, 8156, 37879, 2931, 718, 8911, 16, 1029, 685, 1038, 12731, 1390, 309, 3405, 4160, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 12241, 282, 38462, 13226, 382, 11804, 1414, 478, 1464, 433, 582, 470, 31834, 281, 478, 1009, 455, 354, 23218, 339, 470, 47149, 10133, 430, 19, 28, 21451, 16180, 17793, 18, 12404, 2117, 282, 29685, 41971, 22588, 8236, 416, 541, 17506, 7586, 12932, 430, 30, 21, 18, 31224, 30, 2783, 3990, 282, 38462, 13226, 382, 11804, 1414, 2753, 847, 6940, 37131, 26608, 16180, 17793, 651, 282, 1078, 547, 8267, 430, 19, 28, 21451, 6280, 467, 20065, 478, 1464, 433, 582, 470, 289, 11277, 1270, 478, 1009, 455, 354, 507, 4790, 861, 365, 5572, 8267, 282, 29685, 41971, 906, 10750, 8087, 537, 11867, 477, 12932, 430, 30, 21, 16, 1586, 18087, 282, 1335, 21555, 49338, 496, 12267, 778, 3216, 18, 5749, 4287, 322, 3225, 18548, 478, 1009, 455, 354, 507, 4790, 470, 282, 4462, 13021, 14886, 29196, 1624, 3364, 455, 5352, 14393, 874, 309, 4577, 16, 1830, 17701, 282, 5329, 46978, 289, 537, 11867, 18, 37251, 8560, 2158, 478, 1464, 433, 582, 470, 653, 331, 42989, 300, 6441, 594, 277, 296, 896, 718, 7977, 16, 334, 4734, 7586, 16, 289, 2594, 38197, 778, 39914, 478, 1009, 455, 354, 507, 1164, 470, 450, 578, 1919, 450, 3323, 807, 10372, 33692, 315, 1576, 637, 541, 8465, 282, 38396, 17793, 18, 450, 3323, 807, 477, 15506, 304, 4193, 364, 411, 32137, 7586, 478, 1464, 363, 21580, 1034, 27531, 3910, 264, 910, 289, 14698, 309, 18804, 282, 9878, 16690, 3619, 1472, 1912, 3750, 16, 1655, 428, 3017, 9512, 17696, 10465, 525 ]
[ 18871, 282, 2151, 877, 17793, 20366, 430, 3750, 18, 1034, 433, 582, 473, 44495, 13, 651, 40555, 354, 507, 4790, 473, 34058, 783, 13, 1912, 3990, 16, 12241, 16, 3703, 18, 6427, 21014, 38462, 13226, 382, 11804, 286, 16, 478, 1009, 388, 13226, 382, 11804, 286, 470, 31818, 30, 1614, 22420, 22605, 29499, 473, 1464, 546, 783, 13, 478, 682, 18579, 17, 672, 15673, 27784, 11142, 491, 470, 510, 3703, 18, 3161, 2839, 345, 4767, 504, 684, 478, 780, 2025, 2587, 470, 309, 10666, 30, 430, 18, 6695, 510, 1032, 18, 3114, 651, 1061, 18, 2479, 7200, 10133, 30, 430, 30, 21, 5043, 16, 23611, 5618, 17, 22528, 3179, 4086, 18998, 11285, 29196, 2859, 31241, 33645, 478, 1464, 433, 582, 861, 832, 3984, 17309, 16, 374, 16, 2202, 275, 835, 5255, 48917, 7586, 16, 29196, 867, 3818, 24902, 709, 373, 289, 282, 6905, 39175, 15778, 1778, 14667, 35633, 18, 403, 2222, 575, 1435, 3407, 15713, 4360, 282, 5074, 7113, 6160, 30760, 309, 2580, 36766, 289, 30941, 975, 33820, 14698, 18, 478, 1464, 433, 582, 470, 31834, 1279, 478, 1009, 455, 354, 507, 1164, 470, 749, 1728, 5155, 39264, 1307, 28772, 10082, 507, 17, 1358, 324, 768, 1152, 266, 555, 287, 16, 1029, 3619, 34840, 282, 16876, 8267, 7561, 5306, 281, 1328, 266, 27850, 680, 478, 20181, 2796, 14325, 861, 640, 6603, 17, 295, 20537, 774, 1822, 21844, 17363, 2566, 451, 11216, 6166, 1464, 433, 582, 470, 17060, 477, 12932, 491, 30, 21, 934, 515, 282, 3998, 6740, 3298, 429, 685, 8356, 286, 309, 5251, 324, 1782, 728, 378, 1285, 382, 16, 1029, 16, 3848, 1223, 16, 31834, 289, 567, 12241, 18, 824, 23810, 47270, 16, 768, 1152, 4659, 441, 895, 22840, 1992, 29851, 8900, 16, 453, 374, 16410, 1195, 478, 20181, 2796, 14325, 470, 895, 1852, 16313, 6964, 18, 9176, 388, 21861, 478, 1464, 433, 582, 470, 2993, 953, 2805, 25737, 16, 1548, 374, 282, 11500, 768, 1152, 4659, 441, 16, 3210, 16, 19625, 749, 297, 3979, 516, 19311, 16, 1763, 743, 282, 1949, 21273, 9410, 16, 1830, 4419, 15464, 322, 10793, 1595, 9518, 651, 309, 505, 14540, 2438, 1472, 3103, 1593, 282, 12013, 16, 6996, 2846, 1289, 492, 46459, 282, 29536, 304, 19843, 16180, 17793, 18, 8038, 844, 305, 282, 1078, 547, 8267, 281, 11277, 2306, 29709, 478, 1464, 433, 582, 470, 764, 289, 749, 5689, 23305, 9104, 1467, 320, 5983, 324, 6260, 507, 16, 8121, 1763, 38120, 11216, 282, 29685, 41971, 18, 640, 505, 10839, 282, 5214, 4629, 6769, 11981, 38162, 45519, 6157, 1624, 1029, 11347, 289, 1279, 478, 20181, 2796, 2047, 861, 365, 29685, 41971, 45519, 6157, 17455, 1756, 309, 12233, 16208, 1484, 7225, 16, 2319, 16151, 417, 293, 1985, 439, 321, 446, 262, 608, 345, 347, 18, 365, 6588, 360, 4966, 411, 38462, 13226, 382, 11804, 798, 16, 478, 1009, 455, 354, 507, 4790, 470, 282, 16876, 8267, 15185, 33296, 25469, 18, 27025, 727, 3653, 890, 457, 1633, 429, 49266, 309, 3177, 4577, 478, 40887, 283, 3327, 6005, 38915, 470, 473, 20, 30, 21, 934, 1830, 289, 31851, 49564, 16, 309, 2846, 26654, 653, 7152, 525, 478, 22709, 48881, 354, 301, 470, 289, 478, 1182, 286, 320, 10925, 390, 861, 478, 1009, 455, 354, 507, 4790, 470, 11347, 14340, 32387, 16, 3475, 5561, 4853, 374, 33979, 25236, 11106, 391, 1152, 582, 272, 16, 367, 1038, 16504, 451, 442, 1083, 10810, 17720, 1035, 421, 804, 18, 12092, 567, 7422, 44056, 6181, 309, 4577, 450, 3323, 807, 18, 30067, 478, 1009, 455, 354, 507, 1164, 470, 510, 322, 411, 15587, 16, 21166, 3328, 457, 1633, 429, 4573, 2003, 22803, 874, 282, 25857, 289, 16, 3848, 1223, 16, 14393, 874, 18, 478, 1464, 433, 582, 470, 575, 282, 3437, 21273, 40406, 14452, 309, 29510, 30482, 322, 25469, 537, 7633, 16, 281, 2107, 1963, 16, 10490, 26070, 8105, 2919, 477, 12932, 491, 30, 22, 473, 1243, 478, 1464, 433, 582, 470, 16480, 1642, 281, 478, 29521, 293, 8286, 470, 289, 478, 31742, 5325, 12235, 367, 1177, 6441, 3147, 46978, 11277, 1270, 3216, 18, 7249, 309, 502, 16, 374, 282, 939, 16989, 416, 14016, 37131, 20994, 16180, 17793, 289, 478, 1464, 433, 582, 470, 289, 478, 1009, 455, 354, 507, 4790, 470, 10906, 24443, 1116, 23202, 567, 808, 36724, 282, 10882, 31933, 5030, 382, 16, 870, 24084, 726, 26833, 751, 519, 37131, 1809, 12159, 8300, 2297, 1020, 643, 343, 18, 8859, 281, 478, 1464, 433, 582, 470, 481, 4243, 1272, 779, 2158, 16, 289, 16, 374, 12732, 16, 289, 282, 11258, 17, 15853, 19, 3572, 16, 4813, 309, 30888, 18804, 282, 7044, 16, 282, 16690, 13132, 26194, 17799, 18, 8071, 779, 2158, 17720, 30035, 24041, 354, 45227, 40880, 399, 3688, 297, 742, 1624, 282, 25881, 11258, 309, 1756, 768, 31500, 9963, 4574, 507, 5053, 5875, 9192, 38734, 3327, 18, 967, 803, 282, 4440, 1045, 478, 1464, 433, 582, 470, 1196, 16800, 282, 37131, 300, 939, 11623, 16, 2566, 743, 478, 9284, 470, 424, 9444, 40150, 281, 18583, 12932, 1409, 30, 23, 289, 16, 3226, 575, 16, 5462, 454, 924, 8900, 25521, 768, 1152, 4659, 441, 18, 11333, 7036, 289, 25956, 942, 5298, 309, 7759, 16180, 17793, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 33430, 13143, 49295, 1033, 8241, 46602, 16, 34962, 309, 478, 2583, 451, 5988, 470, 1011, 4939, 434, 8862, 381, 16765, 2355, 9412, 296, 6767, 2661, 10162, 24042, 18, 2667, 37728, 424, 2507, 773, 852, 887, 1272, 2019, 613, 411, 46291, 16, 334, 13229, 11949, 427, 1639, 18966, 11969, 1743, 18, 365, 3453, 46839, 18118, 8150, 13391, 1055, 322, 23539, 16406, 18, 7824, 28086, 25156, 16, 374, 349, 1420, 9523, 13095, 2664, 510, 2988, 411, 697, 33624, 16, 2988, 411, 33624, 26205, 18, 31224, 30, 9693, 8231, 334, 20978, 2818, 10020, 282, 10666, 32556, 290, 18863, 5535, 1252, 6208, 46602, 16, 34962, 10552, 309, 478, 2583, 451, 5988, 470, 1011, 4939, 434, 8862, 282, 36539, 381, 16765, 10162, 24042, 289, 20701, 22424, 1237, 505, 19854, 18, 824, 3761, 6233, 16, 282, 6031, 898, 28384, 39333, 27166, 8296, 18, 7249, 309, 502, 374, 282, 32957, 516, 39247, 678, 590, 287, 400, 322, 10473, 16, 360, 4170, 478, 277, 285, 1643, 470, 19299, 1272, 2019, 613, 411, 2044, 16879, 18, 385, 12515, 440, 4646, 14570, 8495, 16, 14379, 2284, 282, 11084, 1033, 8241, 1135, 329, 10932, 478, 682, 17858, 470, 282, 33430, 16, 11116, 282, 8752, 5324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18871, 282, 2151, 877, 17793, 20366, 430, 3750, 18, 1034, 433, 582, 473, 44495, 13, 651, 40555, 354, 507, 4790, 473, 34058, 783, 13, 1912, 3990, 16, 12241, 16, 3703, 18, 6427, 21014, 38462, 13226, 382, 11804, 286, 16, 478, 1009, 388, 13226, 382, 11804, 286, 470, 31818, 30, 1614, 22420, 22605, 29499, 473, 1464, 546, 783, 13, 478, 682, 18579, 17, 672, 15673, 27784, 11142, 491, 470, 510, 3703, 18, 3161, 2839, 345, 4767, 504, 684, 478, 780, 2025, 2587, 470, 309, 10666, 30, 430, 18, 6695, 510, 1032, 18, 3114, 651, 1061, 18, 2479, 7200, 10133, 30, 430, 30, 21, 5043, 16, 23611, 5618, 17, 22528, 3179, 4086, 18998, 11285, 29196, 2859, 31241, 33645, 478, 1464, 433, 582, 861, 832, 3984, 17309, 16, 374, 16, 2202, 275, 835, 5255, 48917, 7586, 16, 29196, 867, 3818, 24902, 709, 373, 289, 282, 6905, 39175, 15778, 1778, 14667, 35633, 18, 403, 2222, 575, 1435, 3407, 15713, 4360, 282, 5074, 7113, 6160, 30760, 309, 2580, 36766, 289, 30941, 975, 33820, 14698, 18, 478, 1464, 433, 582, 470, 31834, 1279, 478, 1009, 455, 354, 507, 1164, 470, 749, 1728, 5155, 39264, 1307, 28772, 10082, 507, 17, 1358, 324, 768, 1152, 266, 555, 287, 16, 1029, 3619, 34840, 282, 16876, 8267, 7561, 5306, 281, 1328, 266, 27850, 680, 478, 20181, 2796, 14325, 861, 640, 6603, 17, 295, 20537, 774, 1822, 21844, 17363, 2566, 451, 11216, 6166, 1464, 433, 582, 470, 17060, 477, 12932, 491, 30, 21, 934, 515, 282, 3998, 6740, 3298, 429, 685, 8356, 286, 309, 5251, 324, 1782, 728, 378, 1285, 382, 16, 1029, 16, 3848, 1223, 16, 31834, 289, 567, 12241, 18, 824, 23810, 47270, 16, 768, 1152, 4659, 441, 895, 22840, 1992, 29851, 8900, 16, 453, 374, 16410, 1195, 478, 20181, 2796, 14325, 470, 895, 1852, 16313, 6964, 18, 9176, 388, 21861, 478, 1464, 433, 582, 470, 2993, 953, 2805, 25737, 16, 1548, 374, 282, 11500, 768, 1152, 4659, 441, 16, 3210, 16, 19625, 749, 297, 3979, 516, 19311, 16, 1763, 743, 282, 1949, 21273, 9410, 16, 1830, 4419, 15464, 322, 10793, 1595, 9518, 651, 309, 505, 14540, 2438, 1472, 3103, 1593, 282, 12013, 16, 6996, 2846, 1289, 492, 46459, 282, 29536, 304, 19843, 16180, 17793, 18, 8038, 844, 305, 282, 1078, 547, 8267, 281, 11277, 2306, 29709, 478, 1464, 433, 582, 470, 764, 289, 749, 5689, 23305, 9104, 1467, 320, 5983, 324, 6260, 507, 16, 8121, 1763, 38120, 11216, 282, 29685, 41971, 18, 640, 505, 10839, 282, 5214, 4629, 6769, 11981, 38162, 45519, 6157, 1624, 1029, 11347, 289, 1279, 478, 20181, 2796, 2047, 861, 365, 29685, 41971, 45519, 6157, 17455, 1756, 309, 12233, 16208, 1484, 7225, 16, 2319, 16151, 417, 293, 1985, 439, 321, 446, 262, 608, 345, 347, 18, 365, 6588, 360, 4966, 411, 38462, 13226, 382, 11804, 798, 16, 478, 1009, 455, 354, 507, 4790, 470, 282, 16876, 8267, 15185, 33296, 25469, 18, 27025, 727, 3653, 890, 457, 1633, 429, 49266, 309, 3177, 4577, 478, 40887, 283, 3327, 6005, 38915, 470, 473, 20, 30, 21, 934, 1830, 289, 31851, 49564, 16, 309, 2846, 26654, 653, 7152, 525, 478, 22709, 48881, 354, 301, 470, 289, 478, 1182, 286, 320, 10925, 390, 861, 478, 1009, 455, 354, 507, 4790, 470, 11347, 14340, 32387, 16, 3475, 5561, 4853, 374, 33979, 25236, 11106, 391, 1152, 582, 272, 16, 367, 1038, 16504, 451, 442, 1083, 10810, 17720, 1035, 421, 804, 18, 12092, 567, 7422, 44056, 6181, 309, 4577, 450, 3323, 807, 18, 30067, 478, 1009, 455, 354, 507, 1164, 470, 510, 322, 411, 15587, 16, 21166, 3328, 457, 1633, 429, 4573, 2003, 22803, 874, 282, 25857, 289, 16, 3848, 1223, 16, 14393, 874, 18, 478, 1464, 433, 582, 470, 575, 282, 3437, 21273, 40406, 14452, 309, 29510, 30482, 322, 25469, 537, 7633, 16, 281, 2107, 1963, 16, 10490, 26070, 8105, 2919, 477, 12932, 491, 30, 22, 473, 1243, 478, 1464, 433, 582, 470, 16480, 1642, 281, 478, 29521, 293, 8286, 470, 289, 478, 31742, 5325, 12235, 367, 1177, 6441, 3147, 46978, 11277, 1270, 3216, 18, 7249, 309, 502, 16, 374, 282, 939, 16989, 416, 14016, 37131, 20994, 16180, 17793, 289, 478, 1464, 433, 582, 470, 289, 478, 1009, 455, 354, 507, 4790, 470, 10906, 24443, 1116, 23202, 567, 808, 36724, 282, 10882, 31933, 5030, 382, 16, 870, 24084, 726, 26833, 751, 519, 37131, 1809, 12159, 8300, 2297, 1020, 643, 343, 18, 8859, 281, 478, 1464, 433, 582, 470, 481, 4243, 1272, 779, 2158, 16, 289, 16, 374, 12732, 16, 289, 282, 11258, 17, 15853, 19, 3572, 16, 4813, 309, 30888, 18804, 282, 7044, 16, 282, 16690, 13132, 26194, 17799, 18, 8071, 779, 2158, 17720, 30035, 24041, 354, 45227, 40880, 399, 3688, 297, 742, 1624, 282, 25881, 11258, 309, 1756, 768, 31500, 9963, 4574, 507, 5053, 5875, 9192, 38734, 3327, 18, 967, 803, 282, 4440, 1045, 478, 1464, 433, 582, 470, 1196, 16800, 282, 37131, 300, 939, 11623, 16, 2566, 743, 478, 9284, 470, 424, 9444, 40150, 281, 18583, 12932, 1409, 30, 23, 289, 16, 3226, 575, 16, 5462, 454, 924, 8900, 25521, 768, 1152, 4659, 441, 18, 11333, 7036, 289, 25956, 942, 5298, 309, 7759, 16180, 17793, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 33430, 13143, 49295, 1033, 8241, 46602, 16, 34962, 309, 478, 2583, 451, 5988, 470, 1011, 4939, 434, 8862, 381, 16765, 2355, 9412, 296, 6767, 2661, 10162, 24042, 18, 2667, 37728, 424, 2507, 773, 852, 887, 1272, 2019, 613, 411, 46291, 16, 334, 13229, 11949, 427, 1639, 18966, 11969, 1743, 18, 365, 3453, 46839, 18118, 8150, 13391, 1055, 322, 23539, 16406, 18, 7824, 28086, 25156, 16, 374, 349, 1420, 9523, 13095, 2664, 510, 2988, 411, 697, 33624, 16, 2988, 411, 33624, 26205, 18, 31224, 30, 9693, 8231, 334, 20978, 2818, 10020, 282, 10666, 32556, 290, 18863, 5535, 1252, 6208, 46602, 16, 34962, 10552, 309, 478, 2583, 451, 5988, 470, 1011, 4939, 434, 8862, 282, 36539, 381, 16765, 10162, 24042, 289, 20701, 22424, 1237, 505, 19854, 18, 824, 3761, 6233, 16, 282, 6031, 898, 28384, 39333, 27166, 8296, 18, 7249, 309, 502, 374, 282, 32957, 516, 39247, 678, 590, 287, 400, 322, 10473, 16, 360, 4170, 478, 277, 285, 1643, 470, 19299, 1272, 2019, 613, 411, 2044, 16879, 18, 385, 12515, 440, 4646, 14570, 8495, 16, 14379, 2284, 282, 11084, 1033, 8241, 1135, 329, 10932, 478, 682, 17858, 470, 282, 33430, 16, 11116, 282, 8752, 5324 ]
[ 478, 24073, 470, 282, 5017, 7314, 11877, 18, 30179, 334, 3946, 6729, 27433, 1356, 3043, 3729, 282, 20511, 49594, 329, 965, 309, 7759, 10973, 8495, 473, 29117, 12904, 289, 32432, 264, 783, 6962, 455, 7817, 478, 46366, 282, 734, 353, 685, 3649, 7769, 327, 671, 1082, 12, 5179, 9798, 9510, 37352, 367, 1314, 428, 2988, 7291, 9304, 562, 306, 13, 21126, 411, 5240, 6722, 18, 817, 1139, 25492, 300, 9016, 3977, 18, 282, 481, 808, 1272, 327, 671, 26604, 309, 1047, 20161, 538, 289, 4732, 10740, 1086, 294, 1503, 928, 582, 492, 4263, 45676, 18, 1606, 1300, 375, 414, 505, 519, 2865, 3422, 18, 334, 5595, 282, 676, 1625, 454, 492, 3826, 18, 360, 13587, 23461, 2141, 322, 1851, 18, 985, 745, 7299, 374, 1743, 939, 32634, 289, 840, 322, 2493, 11435, 18, 475, 1085, 1279, 327, 671, 368, 16, 269, 992, 983, 1358, 14437, 16919, 27899, 39450, 6030, 3383, 19203, 608, 5100, 5125, 36154, 50189, 457, 26207, 35399, 4298, 16919, 27899, 43880, 15387, 10869, 780, 625, 20284, 38223, 15843, 19254, 8513, 682, 4298, 18, 282, 1127, 1396, 5929, 1912, 3612, 282, 667, 13693, 5179, 37352, 861, 37451, 639, 30318, 282, 39768, 764, 282, 1912, 18, 646, 282, 10666, 18, 2046, 726, 1248, 1808, 30263, 15829, 906, 5280, 798, 18, 478, 677, 5017, 2508, 16741, 282, 8347, 13636, 906, 5241, 798, 5825, 290, 8641, 46496, 41939, 17623, 411, 35734, 9919, 1042, 282, 4599, 10162, 4186, 281, 33313, 353, 294, 13553, 344, 289, 17161, 489, 536, 22600, 12944, 18, 16318, 5103, 5825, 32010, 906, 3337, 798, 19716, 6233, 18, 16924, 3890, 16, 374, 678, 322, 11450, 11171, 910, 510, 3828, 478, 46088, 18, 8381, 470, 5037, 3781, 17, 14130, 11552, 8231, 334, 20978, 2818, 10020, 18935, 15528, 324, 609, 18, 824, 505, 3163, 16, 37972, 9597, 2349, 13243, 12731, 7733, 16094, 3332, 582, 18, 2949, 924, 16, 3402, 50054, 18137, 289, 24913, 282, 2928, 276, 6233, 39333, 1631, 18, 478, 10245, 348, 2357, 639, 2361, 30, 40268, 424, 537, 635, 6729, 27433, 1356, 6463, 290, 8641, 411, 3736, 304, 519, 3422, 46492, 18, 889, 8495, 1623, 4939, 957, 289, 15734, 2206, 16, 1548, 374, 2567, 19914, 43706, 322, 639, 18, 3397, 656, 22055, 1195, 4511, 11772, 15515, 18, 25295, 539, 1743, 18966, 334, 327, 18, 491, 422, 18, 44781, 11828, 2407, 473, 293, 17617, 265, 934, 1548, 374, 4786, 1562, 49464, 20090, 448, 19082, 4679, 17540, 411, 2044, 16879, 910, 510, 3828, 15528, 324, 609, 18, 817, 4725, 16, 374, 478, 23289, 6501, 1139, 5823, 322, 282, 970, 2468, 322, 282, 502, 808, 861, 824, 3761, 15479, 478, 32485, 18, 8381, 910, 31811, 294, 994, 21593, 16, 6501, 18581, 898, 2019, 2855, 411, 46291, 18, 5002, 478, 682, 17858, 910, 1029, 1038, 7788, 478, 43, 80, 4166, 3144, 910, 3164, 309, 40853, 17421, 47159, 289, 20021, 16, 14169, 360, 23187, 7043, 16, 988, 7393, 2019, 873, 411, 2044, 35734, 9919, 1042, 18, 478, 4441, 15891, 3128, 15734, 783, 16, 745, 13996, 4375, 2954, 16, 510, 4725, 15528, 324, 609, 18, 510, 608, 10932, 478, 682, 17858, 470, 42903, 322, 1156, 16, 322, 7593, 289, 322, 6957, 1135, 16, 428, 1085, 17, 299, 3153, 16, 367, 16837, 9469, 18, 1178, 953, 502, 6150, 16, 697, 639, 360, 22839, 519, 9469, 1135, 18, 3739, 1176, 13804, 510, 290, 970, 16, 374, 8641, 282, 33430, 8056, 37558, 276, 18, 6490, 10049, 322, 639, 861, 985, 6442, 282, 11552, 8231, 16, 1209, 39092, 34309, 1011, 924, 16, 428, 745, 25290, 2382, 22625, 18, 967, 803, 5854, 11413, 9473, 14513, 16, 1085, 757, 10916, 349, 1335, 15734, 2206, 16, 32949, 16, 374, 37326, 5230, 7475, 18, 478, 4441, 1698, 953, 428, 12165, 14429, 16, 453, 289, 26267, 873, 294, 30232, 49493, 16, 6895, 12319, 266, 1133, 4202, 18, 1367, 17664, 32707, 1055, 4498, 322, 3419, 510, 481, 2410, 23721, 309, 5734, 2083, 910, 510, 2815, 15528, 324, 609, 18, 889, 726, 322, 2615, 3022, 15734, 1437, 10049, 5064, 349, 4101, 1293, 4776, 18, 2086, 9472, 1924, 3125, 28086, 282, 5579, 17, 13825, 35363, 3615, 4110, 1272, 14719, 477, 1963, 2019, 1275, 281, 30661, 289, 3043, 5740, 15743, 4939, 448, 8862, 282, 12462, 281, 33313, 353, 294, 25694, 1876, 282, 1119, 12655, 718, 16167, 6001, 6838, 17, 12538, 2381, 1760, 3802, 18, 23102, 1176, 411, 6367, 35363, 3615, 4767, 510, 2706, 17, 7745, 9829, 17917, 609, 14403, 16, 374, 349, 3455, 282, 8296, 975, 26454, 1939, 4500, 18, 1671, 18, 23412, 2610, 8296, 492, 8566, 15465, 3463, 46602, 11719, 38293, 4811, 18, 6234, 519, 4319, 1326, 3164, 424, 44649, 334, 35491, 282, 43279, 19376, 289, 11062, 700, 18, 4824, 411, 13764, 3125, 26608, 718, 17371, 478, 10520, 1133, 470, 6370, 450, 728, 14940, 10050, 16, 374, 9099, 46839, 13284, 322, 24708, 18, 478, 4408, 5083, 8347, 16695, 2141, 4077, 21525, 16, 510, 1109, 492, 478, 46088, 18, 8381, 861, 510, 365, 1129, 417, 2552, 1119, 30597, 15792, 22333, 1066, 289, 396, 965, 16, 289, 396, 24081, 16, 289, 396, 9681, 13865, 18, 2255, 541, 2616, 322, 6439, 25645, 1293, 3139, 289, 23826, 8495, 567, 1209, 22018, 16, 334, 17297, 16, 5825, 6925, 9496, 428, 3304, 5937, 571, 18, 403, 6095, 16, 541, 978, 322, 1513, 4302, 4076, 289, 13220, 861, 824, 4734, 450, 728, 29180, 16, 10916, 349, 2872, 895, 1085, 6922, 510, 478, 370, 4700, 17, 299, 8182, 13095, 2516, 470, 519, 11753, 17329, 6431, 18, 478, 21366, 16, 481, 2141, 685, 16851, 282, 296, 648, 16986, 334, 8384, 281, 17664, 26763, 18, 832, 5285, 11941, 3775, 16, 374, 8811, 6233, 2419, 475, 4463, 5740, 16, 753, 971, 8051, 16, 374, 322, 9375, 8294, 1595, 30992, 910, 510, 5273, 492, 18, 967, 803, 450, 728, 14940, 23751, 16, 374, 36591, 4118, 15948, 277, 1003, 9084, 32494, 30375, 2710, 17, 3697, 8150, 16, 1548, 374, 21539, 4284, 1033, 828, 2702, 18, 478, 672, 5565, 3661, 784, 16, 827, 656, 39368, 21917, 3033, 2299, 11552, 5246, 290, 46496, 22424, 1237, 292, 289, 10076, 292, 16, 656, 749, 1791, 29089, 8720, 6863, 309, 8406, 16, 510, 2815, 450, 728, 14940, 18, 510, 20670, 873, 428, 411, 37536, 11736, 16, 453, 289, 281, 30661, 8150, 42502, 12106, 861, 817, 9299, 16, 374, 28174, 3463, 46602, 510, 367, 697, 329, 17371, 478, 10520, 1133, 470, 1033, 8241, 334, 3025, 4008, 510, 2395, 1633, 8394, 16, 367, 15734, 5643, 8862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 24073, 470, 282, 5017, 7314, 11877, 18, 30179, 334, 3946, 6729, 27433, 1356, 3043, 3729, 282, 20511, 49594, 329, 965, 309, 7759, 10973, 8495, 473, 29117, 12904, 289, 32432, 264, 783, 6962, 455, 7817, 478, 46366, 282, 734, 353, 685, 3649, 7769, 327, 671, 1082, 12, 5179, 9798, 9510, 37352, 367, 1314, 428, 2988, 7291, 9304, 562, 306, 13, 21126, 411, 5240, 6722, 18, 817, 1139, 25492, 300, 9016, 3977, 18, 282, 481, 808, 1272, 327, 671, 26604, 309, 1047, 20161, 538, 289, 4732, 10740, 1086, 294, 1503, 928, 582, 492, 4263, 45676, 18, 1606, 1300, 375, 414, 505, 519, 2865, 3422, 18, 334, 5595, 282, 676, 1625, 454, 492, 3826, 18, 360, 13587, 23461, 2141, 322, 1851, 18, 985, 745, 7299, 374, 1743, 939, 32634, 289, 840, 322, 2493, 11435, 18, 475, 1085, 1279, 327, 671, 368, 16, 269, 992, 983, 1358, 14437, 16919, 27899, 39450, 6030, 3383, 19203, 608, 5100, 5125, 36154, 50189, 457, 26207, 35399, 4298, 16919, 27899, 43880, 15387, 10869, 780, 625, 20284, 38223, 15843, 19254, 8513, 682, 4298, 18, 282, 1127, 1396, 5929, 1912, 3612, 282, 667, 13693, 5179, 37352, 861, 37451, 639, 30318, 282, 39768, 764, 282, 1912, 18, 646, 282, 10666, 18, 2046, 726, 1248, 1808, 30263, 15829, 906, 5280, 798, 18, 478, 677, 5017, 2508, 16741, 282, 8347, 13636, 906, 5241, 798, 5825, 290, 8641, 46496, 41939, 17623, 411, 35734, 9919, 1042, 282, 4599, 10162, 4186, 281, 33313, 353, 294, 13553, 344, 289, 17161, 489, 536, 22600, 12944, 18, 16318, 5103, 5825, 32010, 906, 3337, 798, 19716, 6233, 18, 16924, 3890, 16, 374, 678, 322, 11450, 11171, 910, 510, 3828, 478, 46088, 18, 8381, 470, 5037, 3781, 17, 14130, 11552, 8231, 334, 20978, 2818, 10020, 18935, 15528, 324, 609, 18, 824, 505, 3163, 16, 37972, 9597, 2349, 13243, 12731, 7733, 16094, 3332, 582, 18, 2949, 924, 16, 3402, 50054, 18137, 289, 24913, 282, 2928, 276, 6233, 39333, 1631, 18, 478, 10245, 348, 2357, 639, 2361, 30, 40268, 424, 537, 635, 6729, 27433, 1356, 6463, 290, 8641, 411, 3736, 304, 519, 3422, 46492, 18, 889, 8495, 1623, 4939, 957, 289, 15734, 2206, 16, 1548, 374, 2567, 19914, 43706, 322, 639, 18, 3397, 656, 22055, 1195, 4511, 11772, 15515, 18, 25295, 539, 1743, 18966, 334, 327, 18, 491, 422, 18, 44781, 11828, 2407, 473, 293, 17617, 265, 934, 1548, 374, 4786, 1562, 49464, 20090, 448, 19082, 4679, 17540, 411, 2044, 16879, 910, 510, 3828, 15528, 324, 609, 18, 817, 4725, 16, 374, 478, 23289, 6501, 1139, 5823, 322, 282, 970, 2468, 322, 282, 502, 808, 861, 824, 3761, 15479, 478, 32485, 18, 8381, 910, 31811, 294, 994, 21593, 16, 6501, 18581, 898, 2019, 2855, 411, 46291, 18, 5002, 478, 682, 17858, 910, 1029, 1038, 7788, 478, 43, 80, 4166, 3144, 910, 3164, 309, 40853, 17421, 47159, 289, 20021, 16, 14169, 360, 23187, 7043, 16, 988, 7393, 2019, 873, 411, 2044, 35734, 9919, 1042, 18, 478, 4441, 15891, 3128, 15734, 783, 16, 745, 13996, 4375, 2954, 16, 510, 4725, 15528, 324, 609, 18, 510, 608, 10932, 478, 682, 17858, 470, 42903, 322, 1156, 16, 322, 7593, 289, 322, 6957, 1135, 16, 428, 1085, 17, 299, 3153, 16, 367, 16837, 9469, 18, 1178, 953, 502, 6150, 16, 697, 639, 360, 22839, 519, 9469, 1135, 18, 3739, 1176, 13804, 510, 290, 970, 16, 374, 8641, 282, 33430, 8056, 37558, 276, 18, 6490, 10049, 322, 639, 861, 985, 6442, 282, 11552, 8231, 16, 1209, 39092, 34309, 1011, 924, 16, 428, 745, 25290, 2382, 22625, 18, 967, 803, 5854, 11413, 9473, 14513, 16, 1085, 757, 10916, 349, 1335, 15734, 2206, 16, 32949, 16, 374, 37326, 5230, 7475, 18, 478, 4441, 1698, 953, 428, 12165, 14429, 16, 453, 289, 26267, 873, 294, 30232, 49493, 16, 6895, 12319, 266, 1133, 4202, 18, 1367, 17664, 32707, 1055, 4498, 322, 3419, 510, 481, 2410, 23721, 309, 5734, 2083, 910, 510, 2815, 15528, 324, 609, 18, 889, 726, 322, 2615, 3022, 15734, 1437, 10049, 5064, 349, 4101, 1293, 4776, 18, 2086, 9472, 1924, 3125, 28086, 282, 5579, 17, 13825, 35363, 3615, 4110, 1272, 14719, 477, 1963, 2019, 1275, 281, 30661, 289, 3043, 5740, 15743, 4939, 448, 8862, 282, 12462, 281, 33313, 353, 294, 25694, 1876, 282, 1119, 12655, 718, 16167, 6001, 6838, 17, 12538, 2381, 1760, 3802, 18, 23102, 1176, 411, 6367, 35363, 3615, 4767, 510, 2706, 17, 7745, 9829, 17917, 609, 14403, 16, 374, 349, 3455, 282, 8296, 975, 26454, 1939, 4500, 18, 1671, 18, 23412, 2610, 8296, 492, 8566, 15465, 3463, 46602, 11719, 38293, 4811, 18, 6234, 519, 4319, 1326, 3164, 424, 44649, 334, 35491, 282, 43279, 19376, 289, 11062, 700, 18, 4824, 411, 13764, 3125, 26608, 718, 17371, 478, 10520, 1133, 470, 6370, 450, 728, 14940, 10050, 16, 374, 9099, 46839, 13284, 322, 24708, 18, 478, 4408, 5083, 8347, 16695, 2141, 4077, 21525, 16, 510, 1109, 492, 478, 46088, 18, 8381, 861, 510, 365, 1129, 417, 2552, 1119, 30597, 15792, 22333, 1066, 289, 396, 965, 16, 289, 396, 24081, 16, 289, 396, 9681, 13865, 18, 2255, 541, 2616, 322, 6439, 25645, 1293, 3139, 289, 23826, 8495, 567, 1209, 22018, 16, 334, 17297, 16, 5825, 6925, 9496, 428, 3304, 5937, 571, 18, 403, 6095, 16, 541, 978, 322, 1513, 4302, 4076, 289, 13220, 861, 824, 4734, 450, 728, 29180, 16, 10916, 349, 2872, 895, 1085, 6922, 510, 478, 370, 4700, 17, 299, 8182, 13095, 2516, 470, 519, 11753, 17329, 6431, 18, 478, 21366, 16, 481, 2141, 685, 16851, 282, 296, 648, 16986, 334, 8384, 281, 17664, 26763, 18, 832, 5285, 11941, 3775, 16, 374, 8811, 6233, 2419, 475, 4463, 5740, 16, 753, 971, 8051, 16, 374, 322, 9375, 8294, 1595, 30992, 910, 510, 5273, 492, 18, 967, 803, 450, 728, 14940, 23751, 16, 374, 36591, 4118, 15948, 277, 1003, 9084, 32494, 30375, 2710, 17, 3697, 8150, 16, 1548, 374, 21539, 4284, 1033, 828, 2702, 18, 478, 672, 5565, 3661, 784, 16, 827, 656, 39368, 21917, 3033, 2299, 11552, 5246, 290, 46496, 22424, 1237, 292, 289, 10076, 292, 16, 656, 749, 1791, 29089, 8720, 6863, 309, 8406, 16, 510, 2815, 450, 728, 14940, 18, 510, 20670, 873, 428, 411, 37536, 11736, 16, 453, 289, 281, 30661, 8150, 42502, 12106, 861, 817, 9299, 16, 374, 28174, 3463, 46602, 510, 367, 697, 329, 17371, 478, 10520, 1133, 470, 1033, 8241, 334, 3025, 4008, 510, 2395, 1633, 8394, 16, 367, 15734, 5643, 8862 ]
[ 5280, 7723, 16, 289, 26306, 1250, 5285, 5832, 697, 12137, 411, 5910, 289, 520, 7267, 697, 3775, 7695, 309, 14520, 22398, 366, 18, 478, 21393, 2388, 13231, 1527, 16, 961, 2552, 1119, 2174, 14083, 16, 510, 2548, 450, 728, 14940, 18, 510, 5005, 411, 17, 431, 445, 17159, 542, 31198, 289, 49319, 1809, 11062, 700, 1698, 15993, 20262, 9404, 16, 367, 282, 1710, 9513, 1007, 3674, 16, 678, 13717, 20534, 25608, 3725, 1512, 18, 1268, 1967, 1512, 6110, 475, 478, 447, 2888, 861, 20859, 906, 32313, 30495, 4786, 478, 4348, 9283, 470, 281, 5259, 4500, 18, 6367, 510, 428, 445, 411, 17, 431, 924, 16, 374, 309, 7579, 1749, 322, 10469, 360, 38994, 40608, 294, 19025, 306, 18, 403, 6095, 16, 8967, 3253, 24798, 360, 15734, 1437, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 15684, 17167, 583, 6087, 511, 6616, 434, 2113, 1232, 13463, 441, 718, 16771, 18, 22209, 12099, 22292, 19230, 272, 7882, 402, 960, 3831, 478, 780, 4476, 370, 6772, 470, 6498, 294, 14728, 16, 374, 5558, 12866, 2301, 16771, 2397, 12634, 2403, 14065, 2975, 16, 411, 17, 431, 2024, 11580, 18766, 13668, 478, 1454, 470, 23413, 17, 32701, 418, 18, 889, 17625, 48435, 16186, 309, 23724, 13463, 441, 718, 16771, 18, 365, 2241, 34715, 16, 374, 11542, 3164, 282, 9358, 547, 4349, 16, 2686, 4126, 11580, 382, 519, 4319, 1326, 3164, 424, 46319, 18409, 18, 31224, 30, 41472, 2179, 1262, 411, 14957, 718, 7904, 7377, 18323, 8862, 15684, 17167, 583, 6087, 511, 6616, 416, 11580, 382, 13463, 441, 718, 16771, 2706, 4160, 282, 5579, 13324, 18, 832, 431, 30931, 6965, 16395, 757, 15583, 411, 17, 431, 13553, 274, 282, 6829, 3594, 11580, 536, 13668, 304, 567, 808, 10438, 16115, 7297, 18, 2949, 924, 16, 371, 40031, 1810, 19230, 276, 8876, 11257, 16, 374, 5558, 12866, 2301, 16771, 2397, 12634, 2403, 14065, 2975, 16, 411, 17, 431, 2024, 11580, 18766, 13668, 478, 1454, 470, 23413, 17, 32701, 418, 18, 889, 17625, 48435, 16186, 309, 23724, 13463, 441, 718, 16771, 289, 1038, 5736, 1852, 2059, 411, 4284, 583, 6087, 511, 6616, 434, 35432, 18, 365, 2241, 44893, 16, 374, 4813, 309, 502, 16, 374, 309, 5734, 2083, 13668, 16771, 3164, 282, 9358, 547, 289, 28203, 547, 4349, 16, 4126, 11580, 382, 7312, 424, 46319, 18409, 18, 478, 630, 3615, 1063, 7005, 8997, 2198, 31344, 282, 5329, 16, 8876, 6498, 294, 14728, 290, 970, 16, 374, 282, 4675, 808, 11580, 416, 13668, 13463, 441, 718, 16771, 3164, 282, 9358, 547, 289, 28203, 547, 4349, 18, 1303, 11621, 27143, 11580, 382, 651, 19066, 377, 17756, 394, 16, 9360, 32027, 448, 7020, 16, 8556, 620, 6486, 899, 326, 16, 6561, 2959, 3594, 651, 7393, 3040, 2911, 16, 14065, 10944, 289, 26613, 322, 4247, 18, 3791, 3118, 9358, 318, 11621, 47304, 3649, 287, 542, 17106, 16, 13639, 14414, 28010, 282, 29065, 6238, 19, 20226, 6238, 9524, 910, 651, 6442, 282, 17869, 18930, 1140, 478, 780, 4476, 370, 6772, 861, 7106, 16, 374, 583, 6087, 511, 6616, 539, 2113, 2722, 13463, 441, 718, 16771, 4243, 5475, 2706, 4160, 289, 13748, 294, 3081, 1147, 13305, 281, 12070, 3437, 8974, 18, 1192, 285, 4893, 7479, 309, 2555, 17, 5041, 23291, 289, 282, 1177, 2083, 282, 1047, 39359, 555, 1185, 11651, 40329, 6407, 18, 6290, 3675, 2301, 32435, 7994, 7150, 699, 6833, 16, 639, 18428, 299, 8159, 4139, 13329, 18, 985, 13120, 16, 7352, 322, 29881, 34965, 18, 4802, 36173, 349, 1420, 9325, 478, 672, 10589, 470, 4855, 24, 754, 8181, 7631, 360, 20393, 289, 309, 11845, 309, 2788, 10794, 16771, 16, 13412, 1660, 975, 8740, 4262, 28000, 18, 2112, 978, 282, 9325, 7467, 3937, 10383, 47698, 6607, 6108, 85, 7463, 18, 5403, 2370, 20393, 7994, 281, 12860, 4819, 3250, 13463, 441, 1703, 49824, 282, 5579, 17, 13825, 16, 2706, 4160, 11826, 779, 824, 3163, 37829, 16, 24221, 343, 16771, 13394, 16, 367, 2512, 1715, 1833, 575, 23576, 18, 365, 3198, 13305, 2706, 17, 7745, 10383, 1185, 11651, 40329, 6407, 3619, 14440, 17336, 30, 329, 1047, 34255, 318, 1426, 3561, 18, 2320, 5296, 30081, 428, 24281, 18, 608, 16979, 47698, 16, 2555, 17, 17827, 4109, 16, 11095, 4110, 2513, 7529, 34840, 23306, 16, 678, 1038, 3164, 282, 14154, 18, 824, 899, 5279, 17530, 17, 16981, 13347, 343, 24325, 12975, 5749, 15043, 1624, 1754, 10072, 17204, 322, 2834, 15814, 18, 608, 1710, 7519, 1007, 2196, 382, 1128, 2198, 22450, 342, 18, 365, 4698, 3678, 282, 3106, 9080, 26369, 42764, 8700, 14947, 16596, 19040, 16, 1029, 685, 1568, 928, 349, 1119, 519, 2113, 1232, 16771, 18, 27262, 627, 3655, 31471, 4167, 2410, 20907, 16, 374, 31758, 435, 349, 1807, 28796, 28878, 309, 19230, 272, 18, 20876, 3134, 3597, 46899, 2928, 334, 7323, 2818, 32379, 528, 15683, 11925, 1175, 334, 5909, 877, 5292, 18562, 11969, 1743, 334, 327, 18, 430, 422, 18, 3703, 28, 11828, 2407, 478, 20697, 662, 16, 27315, 16, 7462, 343, 2988, 17322, 266, 7438, 289, 6340, 16, 15230, 904, 670, 34578, 5117, 16, 322, 18191, 1587, 13979, 3623, 861, 6729, 3276, 6541, 1525, 349, 17586, 19690, 1979, 1623, 49660, 8124, 309, 3017, 519, 1949, 986, 18, 17524, 289, 7005, 15140, 9537, 309, 6457, 282, 46738, 46168, 11925, 1175, 18, 985, 40530, 478, 46088, 18, 8381, 470, 282, 47158, 18617, 11925, 282, 10666, 16, 430, 3802, 16, 30650, 334, 6619, 1055, 1003, 18, 640, 5734, 2083, 29346, 9980, 24492, 16, 7005, 1639, 1747, 5747, 18, 2790, 30485, 539, 13391, 840, 1568, 4684, 282, 3017, 16, 37963, 9449, 510, 322, 10188, 1949, 4776, 477, 2299, 30217, 1101, 18, 41651, 16, 374, 1011, 583, 6087, 511, 6616, 434, 42762, 13463, 441, 718, 16771, 7882, 402, 960, 11096, 478, 780, 4476, 370, 6772, 470, 1624, 12099, 28874, 19230, 272, 16, 3696, 857, 29272, 309, 11506, 904, 334, 42551, 7297, 18, 6592, 22179, 16, 282, 4542, 904, 1747, 8356, 1007, 11621, 5098, 22595, 289, 11580, 382, 13668, 434, 26240, 16771, 18, 8110, 3050, 7072, 20194, 4896, 2123, 3763, 1286, 6427, 2634, 2791, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 37159, 19457, 6211, 399, 22377, 297, 2145, 360, 20961, 1033, 48382, 13951, 282, 4599, 2407, 18, 403, 21178, 557, 2381, 6211, 399, 282, 4810, 3329, 341, 22627, 8543, 1357, 5781, 6802, 360, 13858, 2926, 715, 59, 30756, 56, 18, 31224, 30, 8215, 37159, 19457, 6211, 399, 2815, 16, 374, 282, 1750, 20961, 11173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5280, 7723, 16, 289, 26306, 1250, 5285, 5832, 697, 12137, 411, 5910, 289, 520, 7267, 697, 3775, 7695, 309, 14520, 22398, 366, 18, 478, 21393, 2388, 13231, 1527, 16, 961, 2552, 1119, 2174, 14083, 16, 510, 2548, 450, 728, 14940, 18, 510, 5005, 411, 17, 431, 445, 17159, 542, 31198, 289, 49319, 1809, 11062, 700, 1698, 15993, 20262, 9404, 16, 367, 282, 1710, 9513, 1007, 3674, 16, 678, 13717, 20534, 25608, 3725, 1512, 18, 1268, 1967, 1512, 6110, 475, 478, 447, 2888, 861, 20859, 906, 32313, 30495, 4786, 478, 4348, 9283, 470, 281, 5259, 4500, 18, 6367, 510, 428, 445, 411, 17, 431, 924, 16, 374, 309, 7579, 1749, 322, 10469, 360, 38994, 40608, 294, 19025, 306, 18, 403, 6095, 16, 8967, 3253, 24798, 360, 15734, 1437, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 15684, 17167, 583, 6087, 511, 6616, 434, 2113, 1232, 13463, 441, 718, 16771, 18, 22209, 12099, 22292, 19230, 272, 7882, 402, 960, 3831, 478, 780, 4476, 370, 6772, 470, 6498, 294, 14728, 16, 374, 5558, 12866, 2301, 16771, 2397, 12634, 2403, 14065, 2975, 16, 411, 17, 431, 2024, 11580, 18766, 13668, 478, 1454, 470, 23413, 17, 32701, 418, 18, 889, 17625, 48435, 16186, 309, 23724, 13463, 441, 718, 16771, 18, 365, 2241, 34715, 16, 374, 11542, 3164, 282, 9358, 547, 4349, 16, 2686, 4126, 11580, 382, 519, 4319, 1326, 3164, 424, 46319, 18409, 18, 31224, 30, 41472, 2179, 1262, 411, 14957, 718, 7904, 7377, 18323, 8862, 15684, 17167, 583, 6087, 511, 6616, 416, 11580, 382, 13463, 441, 718, 16771, 2706, 4160, 282, 5579, 13324, 18, 832, 431, 30931, 6965, 16395, 757, 15583, 411, 17, 431, 13553, 274, 282, 6829, 3594, 11580, 536, 13668, 304, 567, 808, 10438, 16115, 7297, 18, 2949, 924, 16, 371, 40031, 1810, 19230, 276, 8876, 11257, 16, 374, 5558, 12866, 2301, 16771, 2397, 12634, 2403, 14065, 2975, 16, 411, 17, 431, 2024, 11580, 18766, 13668, 478, 1454, 470, 23413, 17, 32701, 418, 18, 889, 17625, 48435, 16186, 309, 23724, 13463, 441, 718, 16771, 289, 1038, 5736, 1852, 2059, 411, 4284, 583, 6087, 511, 6616, 434, 35432, 18, 365, 2241, 44893, 16, 374, 4813, 309, 502, 16, 374, 309, 5734, 2083, 13668, 16771, 3164, 282, 9358, 547, 289, 28203, 547, 4349, 16, 4126, 11580, 382, 7312, 424, 46319, 18409, 18, 478, 630, 3615, 1063, 7005, 8997, 2198, 31344, 282, 5329, 16, 8876, 6498, 294, 14728, 290, 970, 16, 374, 282, 4675, 808, 11580, 416, 13668, 13463, 441, 718, 16771, 3164, 282, 9358, 547, 289, 28203, 547, 4349, 18, 1303, 11621, 27143, 11580, 382, 651, 19066, 377, 17756, 394, 16, 9360, 32027, 448, 7020, 16, 8556, 620, 6486, 899, 326, 16, 6561, 2959, 3594, 651, 7393, 3040, 2911, 16, 14065, 10944, 289, 26613, 322, 4247, 18, 3791, 3118, 9358, 318, 11621, 47304, 3649, 287, 542, 17106, 16, 13639, 14414, 28010, 282, 29065, 6238, 19, 20226, 6238, 9524, 910, 651, 6442, 282, 17869, 18930, 1140, 478, 780, 4476, 370, 6772, 861, 7106, 16, 374, 583, 6087, 511, 6616, 539, 2113, 2722, 13463, 441, 718, 16771, 4243, 5475, 2706, 4160, 289, 13748, 294, 3081, 1147, 13305, 281, 12070, 3437, 8974, 18, 1192, 285, 4893, 7479, 309, 2555, 17, 5041, 23291, 289, 282, 1177, 2083, 282, 1047, 39359, 555, 1185, 11651, 40329, 6407, 18, 6290, 3675, 2301, 32435, 7994, 7150, 699, 6833, 16, 639, 18428, 299, 8159, 4139, 13329, 18, 985, 13120, 16, 7352, 322, 29881, 34965, 18, 4802, 36173, 349, 1420, 9325, 478, 672, 10589, 470, 4855, 24, 754, 8181, 7631, 360, 20393, 289, 309, 11845, 309, 2788, 10794, 16771, 16, 13412, 1660, 975, 8740, 4262, 28000, 18, 2112, 978, 282, 9325, 7467, 3937, 10383, 47698, 6607, 6108, 85, 7463, 18, 5403, 2370, 20393, 7994, 281, 12860, 4819, 3250, 13463, 441, 1703, 49824, 282, 5579, 17, 13825, 16, 2706, 4160, 11826, 779, 824, 3163, 37829, 16, 24221, 343, 16771, 13394, 16, 367, 2512, 1715, 1833, 575, 23576, 18, 365, 3198, 13305, 2706, 17, 7745, 10383, 1185, 11651, 40329, 6407, 3619, 14440, 17336, 30, 329, 1047, 34255, 318, 1426, 3561, 18, 2320, 5296, 30081, 428, 24281, 18, 608, 16979, 47698, 16, 2555, 17, 17827, 4109, 16, 11095, 4110, 2513, 7529, 34840, 23306, 16, 678, 1038, 3164, 282, 14154, 18, 824, 899, 5279, 17530, 17, 16981, 13347, 343, 24325, 12975, 5749, 15043, 1624, 1754, 10072, 17204, 322, 2834, 15814, 18, 608, 1710, 7519, 1007, 2196, 382, 1128, 2198, 22450, 342, 18, 365, 4698, 3678, 282, 3106, 9080, 26369, 42764, 8700, 14947, 16596, 19040, 16, 1029, 685, 1568, 928, 349, 1119, 519, 2113, 1232, 16771, 18, 27262, 627, 3655, 31471, 4167, 2410, 20907, 16, 374, 31758, 435, 349, 1807, 28796, 28878, 309, 19230, 272, 18, 20876, 3134, 3597, 46899, 2928, 334, 7323, 2818, 32379, 528, 15683, 11925, 1175, 334, 5909, 877, 5292, 18562, 11969, 1743, 334, 327, 18, 430, 422, 18, 3703, 28, 11828, 2407, 478, 20697, 662, 16, 27315, 16, 7462, 343, 2988, 17322, 266, 7438, 289, 6340, 16, 15230, 904, 670, 34578, 5117, 16, 322, 18191, 1587, 13979, 3623, 861, 6729, 3276, 6541, 1525, 349, 17586, 19690, 1979, 1623, 49660, 8124, 309, 3017, 519, 1949, 986, 18, 17524, 289, 7005, 15140, 9537, 309, 6457, 282, 46738, 46168, 11925, 1175, 18, 985, 40530, 478, 46088, 18, 8381, 470, 282, 47158, 18617, 11925, 282, 10666, 16, 430, 3802, 16, 30650, 334, 6619, 1055, 1003, 18, 640, 5734, 2083, 29346, 9980, 24492, 16, 7005, 1639, 1747, 5747, 18, 2790, 30485, 539, 13391, 840, 1568, 4684, 282, 3017, 16, 37963, 9449, 510, 322, 10188, 1949, 4776, 477, 2299, 30217, 1101, 18, 41651, 16, 374, 1011, 583, 6087, 511, 6616, 434, 42762, 13463, 441, 718, 16771, 7882, 402, 960, 11096, 478, 780, 4476, 370, 6772, 470, 1624, 12099, 28874, 19230, 272, 16, 3696, 857, 29272, 309, 11506, 904, 334, 42551, 7297, 18, 6592, 22179, 16, 282, 4542, 904, 1747, 8356, 1007, 11621, 5098, 22595, 289, 11580, 382, 13668, 434, 26240, 16771, 18, 8110, 3050, 7072, 20194, 4896, 2123, 3763, 1286, 6427, 2634, 2791, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 37159, 19457, 6211, 399, 22377, 297, 2145, 360, 20961, 1033, 48382, 13951, 282, 4599, 2407, 18, 403, 21178, 557, 2381, 6211, 399, 282, 4810, 3329, 341, 22627, 8543, 1357, 5781, 6802, 360, 13858, 2926, 715, 59, 30756, 56, 18, 31224, 30, 8215, 37159, 19457, 6211, 399, 2815, 16, 374, 282, 1750, 20961, 11173 ]
[ 16678, 25438, 29620, 432, 13951, 1279, 2407, 16, 478, 36337, 549, 6888, 470, 895, 19490, 478, 997, 680, 13655, 1406, 861, 1367, 803, 6211, 399, 2815, 282, 7337, 33293, 48240, 16303, 18, 9668, 37159, 7117, 9299, 16, 374, 7865, 26541, 10933, 10902, 411, 13858, 2926, 715, 59, 30756, 56, 1623, 478, 1395, 287, 377, 678, 4563, 416, 861, 715, 59, 30756, 56, 1623, 3989, 5241, 1734, 6190, 6838, 30324, 13050, 541, 10376, 3352, 289, 26366, 25708, 16, 1754, 16605, 1033, 1533, 4500, 18, 14795, 7257, 1715, 567, 1209, 7338, 2422, 18, 38160, 371, 803, 29230, 16, 374, 14965, 290, 38508, 8543, 5535, 1175, 360, 715, 59, 30756, 56, 13487, 764, 2801, 1045, 18, 715, 59, 30756, 56, 2686, 1623, 31051, 47692, 16, 289, 9600, 3003, 381, 8543, 5535, 360, 2926, 1851, 17, 3697, 2553, 537, 22154, 16, 537, 24630, 388, 5134, 322, 1698, 18, 23656, 715, 59, 30756, 56, 11451, 46557, 16, 374, 322, 21038, 8543, 2102, 6551, 360, 2926, 289, 3887, 414, 2159, 5086, 468, 867, 28920, 16, 374, 45384, 25961, 9414, 16930, 309, 1710, 11440, 282, 803, 17691, 18, 3557, 322, 2619, 16, 3771, 294, 1914, 1147, 28941, 554, 2828, 2829, 764, 282, 2604, 1045, 510, 1655, 906, 4463, 8991, 42434, 4937, 549, 4461, 14303, 2423, 1349, 291, 478, 24735, 910, 1097, 11402, 334, 7664, 11436, 477, 715, 59, 30756, 56, 20050, 18, 365, 11500, 7847, 779, 5037, 24777, 1175, 9060, 45685, 640, 818, 2679, 4086, 309, 9155, 281, 12984, 27402, 30012, 8977, 16, 374, 282, 1175, 19003, 2644, 541, 1810, 8594, 5281, 1440, 289, 6802, 309, 3022, 46967, 2553, 360, 715, 59, 30756, 56, 18, 1253, 27250, 16, 374, 411, 17, 431, 17313, 38770, 14006, 3225, 29030, 19478, 2739, 7583, 29480, 2926, 16, 1011, 1660, 4126, 2976, 7796, 8594, 5281, 1440, 685, 14927, 286, 282, 6551, 18, 478, 618, 1501, 801, 695, 898, 14075, 16, 11419, 281, 867, 16, 374, 813, 1698, 45521, 360, 715, 59, 30756, 56, 18, 1345, 1038, 519, 35385, 1423, 8594, 14137, 6138, 16, 289, 16, 827, 374, 17, 299, 15583, 16, 3960, 2553, 475, 6053, 282, 19145, 715, 59, 30756, 56, 1747, 3624, 16, 656, 16590, 1574, 23693, 910, 510, 2323, 678, 18, 2949, 924, 16, 640, 818, 2679, 4086, 8977, 16, 374, 22996, 755, 8664, 364, 19478, 3030, 6802, 282, 590, 19027, 4543, 18, 478, 1140, 813, 322, 639, 10361, 432, 15058, 405, 1485, 334, 590, 19027, 6216, 16, 289, 282, 6104, 1045, 685, 18566, 1568, 16, 6910, 349, 8156, 978, 35216, 16, 656, 16590, 567, 2992, 11053, 779, 10845, 334, 590, 19027, 6216, 16447, 16, 2805, 334, 7168, 6341, 12231, 5754, 277, 16, 289, 1314, 2156, 2702, 2994, 7944, 65, 36927, 36912, 910, 510, 38349, 678, 18, 9668, 19080, 1038, 30357, 16, 374, 726, 1033, 6374, 9, 1934, 8904, 712, 289, 8594, 5281, 27494, 291, 1175, 6354, 7099, 8594, 6343, 8822, 478, 24735, 470, 3557, 322, 2619, 16, 8543, 1357, 1175, 360, 715, 59, 30756, 56, 2826, 895, 953, 3453, 32250, 411, 14938, 6341, 4568, 2559, 18, 1367, 803, 16, 282, 4810, 16, 16672, 3952, 18924, 18, 4635, 24219, 18924, 411, 35920, 6190, 6838, 30324, 2926, 25708, 715, 59, 30756, 56, 282, 4018, 1045, 289, 13547, 309, 16127, 21649, 680, 10960, 289, 8697, 17986, 7597, 289, 2145, 35849, 3989, 20928, 13312, 541, 21649, 680, 7234, 18, 824, 25036, 14971, 16, 1223, 349, 1205, 870, 7272, 14694, 294, 5009, 11188, 17850, 18924, 309, 1286, 16, 26, 5999, 385, 2430, 553, 1279, 21649, 680, 29480, 2926, 14694, 294, 5009, 11188, 12448, 11270, 18924, 4652, 309, 2555, 5999, 1540, 399, 16335, 23980, 15513, 434, 4999, 30, 334, 3761, 21649, 718, 11413, 30023, 16, 281, 3990, 4018, 334, 41484, 3734, 779, 678, 6245, 7102, 2555, 7418, 374, 1623, 2903, 1757, 44391, 282, 3182, 2553, 18, 967, 803, 5995, 309, 9494, 8393, 20299, 1033, 828, 309, 5259, 5999, 640, 23000, 11451, 11466, 1166, 16, 374, 8543, 1357, 1175, 360, 715, 59, 30756, 56, 895, 953, 5833, 2559, 323, 18, 740, 282, 803, 1750, 11473, 13312, 15018, 487, 282, 970, 2875, 289, 36198, 309, 2923, 2407, 25207, 2241, 18, 3747, 7190, 715, 59, 30756, 56, 289, 34715, 16, 374, 322, 1747, 8543, 2102, 6551, 360, 2926, 16, 26272, 424, 37208, 2206, 2145, 289, 7597, 2241, 16, 2412, 5800, 39967, 477, 22527, 541, 1810, 281, 13050, 3147, 1698, 16161, 15562, 281, 9609, 18, 889, 39839, 26795, 4160, 978, 779, 510, 1655, 7211, 1162, 3785, 21662, 2488, 1509, 16, 428, 445, 42390, 12866, 309, 16571, 8136, 541, 715, 59, 30756, 56, 18889, 360, 11993, 281, 2406, 6802, 16, 23006, 282, 14613, 18, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 266, 28513, 14153, 8078, 3740, 4848, 290, 14125, 292, 35216, 16, 6342, 2989, 2678, 46831, 2742, 20634, 779, 309, 5004, 334, 41471, 8243, 11944, 18, 8078, 3740, 12698, 16, 374, 2119, 2357, 28261, 29051, 46551, 309, 5004, 4024, 8350, 1033, 15571, 3836, 27981, 18116, 541, 6979, 20499, 16, 367, 1038, 5285, 759, 2678, 5505, 2449, 34765, 567, 808, 27424, 434, 8900, 18, 31224, 30, 31143, 33179, 22519, 28513, 282, 48619, 14153, 8078, 3740, 9848, 12961, 290, 10659, 263, 2742, 36065, 20634, 779, 309, 430, 3802, 18, 824, 4382, 582, 11630, 16, 17978, 430, 3597, 840, 7180, 798, 428, 17437, 17978, 2742, 20634, 779, 18, 439, 1215, 3003, 290, 970, 16, 40707, 6287, 20634, 779, 309, 5004, 670, 1003, 16, 1747, 7099, 726, 9597, 10162, 20931, 26337, 16008, 4626, 18, 365, 28513, 44893, 16, 374, 26119, 282, 1097, 6301, 24324, 726, 898, 38908, 309, 23512, 282, 39309, 18, 48011, 21005, 3003, 334, 11755, 508, 552, 282, 16036, 3675, 580, 42962, 18, 478, 4348, 16593, 2119, 2888, 33840, 1205, 289, 30720, 309, 5004, 18, 2787, 912, 1205, 895, 2491, 506, 430, 3802, 16, 367, 30720, 510, 281, 430, 4189, 18, 3791, 656, 16593, 13342, 6190, 26648, 7392, 30720, 910, 510, 4848, 8078, 3740, 478, 4874, 31679, 680, 14415, 225, 861, 817, 5692, 16, 374, 1247, 290, 970, 16, 785, 840, 8105, 1954, 33840, 1205, 510, 282, 11366, 670, 12938, 16, 510, 8070, 11291, 8671, 30111, 20634, 8165, 18, 8078, 3740, 12698, 16, 374, 290, 2567, 46131, 2944, 24181, 5230, 28308, 1175, 18, 3557, 322, 2619, 24877, 28513, 24445, 3964, 322, 475, 11919, 950, 18, 7200, 46984, 7920, 6897, 4551, 334, 19956, 16, 25516, 289, 17702, 14537, 274, 528, 41672, 401, 8977, 16, 374, 322, 2756, 373, 12606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16678, 25438, 29620, 432, 13951, 1279, 2407, 16, 478, 36337, 549, 6888, 470, 895, 19490, 478, 997, 680, 13655, 1406, 861, 1367, 803, 6211, 399, 2815, 282, 7337, 33293, 48240, 16303, 18, 9668, 37159, 7117, 9299, 16, 374, 7865, 26541, 10933, 10902, 411, 13858, 2926, 715, 59, 30756, 56, 1623, 478, 1395, 287, 377, 678, 4563, 416, 861, 715, 59, 30756, 56, 1623, 3989, 5241, 1734, 6190, 6838, 30324, 13050, 541, 10376, 3352, 289, 26366, 25708, 16, 1754, 16605, 1033, 1533, 4500, 18, 14795, 7257, 1715, 567, 1209, 7338, 2422, 18, 38160, 371, 803, 29230, 16, 374, 14965, 290, 38508, 8543, 5535, 1175, 360, 715, 59, 30756, 56, 13487, 764, 2801, 1045, 18, 715, 59, 30756, 56, 2686, 1623, 31051, 47692, 16, 289, 9600, 3003, 381, 8543, 5535, 360, 2926, 1851, 17, 3697, 2553, 537, 22154, 16, 537, 24630, 388, 5134, 322, 1698, 18, 23656, 715, 59, 30756, 56, 11451, 46557, 16, 374, 322, 21038, 8543, 2102, 6551, 360, 2926, 289, 3887, 414, 2159, 5086, 468, 867, 28920, 16, 374, 45384, 25961, 9414, 16930, 309, 1710, 11440, 282, 803, 17691, 18, 3557, 322, 2619, 16, 3771, 294, 1914, 1147, 28941, 554, 2828, 2829, 764, 282, 2604, 1045, 510, 1655, 906, 4463, 8991, 42434, 4937, 549, 4461, 14303, 2423, 1349, 291, 478, 24735, 910, 1097, 11402, 334, 7664, 11436, 477, 715, 59, 30756, 56, 20050, 18, 365, 11500, 7847, 779, 5037, 24777, 1175, 9060, 45685, 640, 818, 2679, 4086, 309, 9155, 281, 12984, 27402, 30012, 8977, 16, 374, 282, 1175, 19003, 2644, 541, 1810, 8594, 5281, 1440, 289, 6802, 309, 3022, 46967, 2553, 360, 715, 59, 30756, 56, 18, 1253, 27250, 16, 374, 411, 17, 431, 17313, 38770, 14006, 3225, 29030, 19478, 2739, 7583, 29480, 2926, 16, 1011, 1660, 4126, 2976, 7796, 8594, 5281, 1440, 685, 14927, 286, 282, 6551, 18, 478, 618, 1501, 801, 695, 898, 14075, 16, 11419, 281, 867, 16, 374, 813, 1698, 45521, 360, 715, 59, 30756, 56, 18, 1345, 1038, 519, 35385, 1423, 8594, 14137, 6138, 16, 289, 16, 827, 374, 17, 299, 15583, 16, 3960, 2553, 475, 6053, 282, 19145, 715, 59, 30756, 56, 1747, 3624, 16, 656, 16590, 1574, 23693, 910, 510, 2323, 678, 18, 2949, 924, 16, 640, 818, 2679, 4086, 8977, 16, 374, 22996, 755, 8664, 364, 19478, 3030, 6802, 282, 590, 19027, 4543, 18, 478, 1140, 813, 322, 639, 10361, 432, 15058, 405, 1485, 334, 590, 19027, 6216, 16, 289, 282, 6104, 1045, 685, 18566, 1568, 16, 6910, 349, 8156, 978, 35216, 16, 656, 16590, 567, 2992, 11053, 779, 10845, 334, 590, 19027, 6216, 16447, 16, 2805, 334, 7168, 6341, 12231, 5754, 277, 16, 289, 1314, 2156, 2702, 2994, 7944, 65, 36927, 36912, 910, 510, 38349, 678, 18, 9668, 19080, 1038, 30357, 16, 374, 726, 1033, 6374, 9, 1934, 8904, 712, 289, 8594, 5281, 27494, 291, 1175, 6354, 7099, 8594, 6343, 8822, 478, 24735, 470, 3557, 322, 2619, 16, 8543, 1357, 1175, 360, 715, 59, 30756, 56, 2826, 895, 953, 3453, 32250, 411, 14938, 6341, 4568, 2559, 18, 1367, 803, 16, 282, 4810, 16, 16672, 3952, 18924, 18, 4635, 24219, 18924, 411, 35920, 6190, 6838, 30324, 2926, 25708, 715, 59, 30756, 56, 282, 4018, 1045, 289, 13547, 309, 16127, 21649, 680, 10960, 289, 8697, 17986, 7597, 289, 2145, 35849, 3989, 20928, 13312, 541, 21649, 680, 7234, 18, 824, 25036, 14971, 16, 1223, 349, 1205, 870, 7272, 14694, 294, 5009, 11188, 17850, 18924, 309, 1286, 16, 26, 5999, 385, 2430, 553, 1279, 21649, 680, 29480, 2926, 14694, 294, 5009, 11188, 12448, 11270, 18924, 4652, 309, 2555, 5999, 1540, 399, 16335, 23980, 15513, 434, 4999, 30, 334, 3761, 21649, 718, 11413, 30023, 16, 281, 3990, 4018, 334, 41484, 3734, 779, 678, 6245, 7102, 2555, 7418, 374, 1623, 2903, 1757, 44391, 282, 3182, 2553, 18, 967, 803, 5995, 309, 9494, 8393, 20299, 1033, 828, 309, 5259, 5999, 640, 23000, 11451, 11466, 1166, 16, 374, 8543, 1357, 1175, 360, 715, 59, 30756, 56, 895, 953, 5833, 2559, 323, 18, 740, 282, 803, 1750, 11473, 13312, 15018, 487, 282, 970, 2875, 289, 36198, 309, 2923, 2407, 25207, 2241, 18, 3747, 7190, 715, 59, 30756, 56, 289, 34715, 16, 374, 322, 1747, 8543, 2102, 6551, 360, 2926, 16, 26272, 424, 37208, 2206, 2145, 289, 7597, 2241, 16, 2412, 5800, 39967, 477, 22527, 541, 1810, 281, 13050, 3147, 1698, 16161, 15562, 281, 9609, 18, 889, 39839, 26795, 4160, 978, 779, 510, 1655, 7211, 1162, 3785, 21662, 2488, 1509, 16, 428, 445, 42390, 12866, 309, 16571, 8136, 541, 715, 59, 30756, 56, 18889, 360, 11993, 281, 2406, 6802, 16, 23006, 282, 14613, 18, 2, 1, 87, 1456, 81, 2448, 30, 17394, 3252, 266, 28513, 14153, 8078, 3740, 4848, 290, 14125, 292, 35216, 16, 6342, 2989, 2678, 46831, 2742, 20634, 779, 309, 5004, 334, 41471, 8243, 11944, 18, 8078, 3740, 12698, 16, 374, 2119, 2357, 28261, 29051, 46551, 309, 5004, 4024, 8350, 1033, 15571, 3836, 27981, 18116, 541, 6979, 20499, 16, 367, 1038, 5285, 759, 2678, 5505, 2449, 34765, 567, 808, 27424, 434, 8900, 18, 31224, 30, 31143, 33179, 22519, 28513, 282, 48619, 14153, 8078, 3740, 9848, 12961, 290, 10659, 263, 2742, 36065, 20634, 779, 309, 430, 3802, 18, 824, 4382, 582, 11630, 16, 17978, 430, 3597, 840, 7180, 798, 428, 17437, 17978, 2742, 20634, 779, 18, 439, 1215, 3003, 290, 970, 16, 40707, 6287, 20634, 779, 309, 5004, 670, 1003, 16, 1747, 7099, 726, 9597, 10162, 20931, 26337, 16008, 4626, 18, 365, 28513, 44893, 16, 374, 26119, 282, 1097, 6301, 24324, 726, 898, 38908, 309, 23512, 282, 39309, 18, 48011, 21005, 3003, 334, 11755, 508, 552, 282, 16036, 3675, 580, 42962, 18, 478, 4348, 16593, 2119, 2888, 33840, 1205, 289, 30720, 309, 5004, 18, 2787, 912, 1205, 895, 2491, 506, 430, 3802, 16, 367, 30720, 510, 281, 430, 4189, 18, 3791, 656, 16593, 13342, 6190, 26648, 7392, 30720, 910, 510, 4848, 8078, 3740, 478, 4874, 31679, 680, 14415, 225, 861, 817, 5692, 16, 374, 1247, 290, 970, 16, 785, 840, 8105, 1954, 33840, 1205, 510, 282, 11366, 670, 12938, 16, 510, 8070, 11291, 8671, 30111, 20634, 8165, 18, 8078, 3740, 12698, 16, 374, 290, 2567, 46131, 2944, 24181, 5230, 28308, 1175, 18, 3557, 322, 2619, 24877, 28513, 24445, 3964, 322, 475, 11919, 950, 18, 7200, 46984, 7920, 6897, 4551, 334, 19956, 16, 25516, 289, 17702, 14537, 274, 528, 41672, 401, 8977, 16, 374, 322, 2756, 373, 12606 ]
[ 12961, 290, 29860, 41005, 395, 3018, 40707, 6287, 20634, 779, 18, 478, 6039, 17, 2767, 3771, 510, 4909, 11265, 7441, 18, 3397, 656, 22055, 1195, 28742, 13523, 39144, 9939, 16, 289, 309, 803, 8011, 2023, 16, 374, 9258, 1287, 16, 23779, 40078, 16, 2419, 16, 785, 1337, 33840, 1205, 14979, 16, 510, 322, 939, 30330, 910, 510, 5273, 528, 41672, 401, 18, 29976, 755, 27250, 16, 374, 282, 1750, 16, 827, 6511, 45682, 411, 20634, 19210, 282, 4413, 9804, 16, 912, 14394, 16, 374, 282, 4676, 6648, 492, 36570, 322, 309, 1613, 14596, 18, 478, 17603, 282, 23747, 912, 1033, 36870, 448, 3860, 16, 828, 3471, 4851, 8059, 290, 10659, 263, 2742, 34765, 910, 510, 45574, 528, 41672, 401, 18, 365, 502, 575, 808, 16188, 4958, 4946, 28349, 25156, 16, 374, 13167, 549, 4497, 12904, 1175, 16, 30031, 722, 14077, 5473, 16, 17525, 289, 8347, 19661, 23817, 1247, 381, 18464, 32505, 294, 29933, 18390, 2742, 20634, 779, 18, 824, 4734, 7620, 28513, 16, 24300, 35216, 10859, 5791, 277, 2678, 1033, 15571, 3836, 33648, 808, 779, 541, 50080, 6979, 2533, 18, 967, 803, 5037, 22519, 4137, 41790, 22427, 46831, 2742, 20634, 779, 764, 281, 6705, 779, 18, 18162, 12961, 492, 18590, 867, 16, 374, 10659, 20634, 779, 1103, 5700, 12753, 349, 2948, 43834, 3597, 18, 2949, 924, 16, 3333, 7761, 329, 21923, 23233, 282, 27424, 451, 9518, 289, 2669, 18189, 281, 1807, 2533, 16, 289, 282, 6031, 25085, 24311, 467, 6335, 2301, 3597, 18, 478, 4529, 4236, 12674, 339, 475, 35254, 779, 510, 11223, 16, 35644, 510, 281, 430, 3802, 18, 439, 33840, 1205, 1103, 4883, 334, 1760, 4189, 16, 289, 475, 30720, 510, 41961, 46746, 16, 16475, 2257, 510, 281, 1760, 4189, 519, 3915, 3597, 18, 1345, 373, 5194, 3457, 18103, 2331, 16, 1642, 6979, 18, 1345, 5211, 549, 8768, 31, 374, 656, 520, 19281, 6979, 10355, 2954, 16, 374, 336, 8475, 1209, 294, 430, 3597, 16, 1085, 481, 18851, 5433, 510, 23870, 41790, 282, 11130, 4145, 779, 18, 365, 1175, 11179, 39811, 8369, 290, 10659, 263, 20634, 779, 670, 32694, 3539, 14529, 29051, 289, 6190, 26648, 7113, 46551, 18, 5161, 16, 282, 2604, 1045, 4770, 2407, 4137, 6732, 8409, 7638, 17, 2589, 15803, 31980, 289, 1530, 12466, 396, 8807, 1247, 290, 3775, 25164, 821, 16764, 35968, 2742, 20634, 779, 18, 3529, 12282, 862, 11721, 3140, 395, 289, 35644, 395, 7557, 13943, 21492, 2742, 12617, 282, 2849, 281, 430, 334, 1760, 3597, 18, 2871, 2610, 7253, 28349, 685, 16804, 4830, 7550, 9867, 341, 375, 18, 824, 505, 4734, 16, 481, 5736, 4366, 10268, 22173, 282, 4008, 16, 367, 1038, 19760, 28878, 309, 30422, 548, 289, 11262, 2664, 282, 4101, 41961, 4701, 18, 478, 7494, 656, 430, 3597, 411, 11007, 289, 13822, 475, 3256, 871, 339, 510, 289, 519, 22678, 16, 519, 13111, 3598, 655, 367, 9518, 17, 299, 912, 910, 510, 9848, 1655, 9867, 341, 375, 18, 365, 803, 1045, 7059, 290, 10659, 263, 2742, 20634, 779, 18749, 17190, 32361, 282, 2630, 281, 867, 16, 374, 309, 430, 3597, 6110, 12655, 778, 9288, 6001, 6838, 17, 12538, 2381, 18, 1598, 17, 431, 978, 282, 30166, 6648, 4855, 22, 2479, 27, 16, 34792, 2406, 281, 5452, 34677, 22462, 957, 16, 6169, 6731, 12922, 454, 35386, 1032, 3597, 18, 478, 2176, 11073, 35585, 7067, 37116, 12607, 6975, 639, 7239, 3003, 290, 10659, 263, 6169, 2209, 49254, 334, 18186, 2742, 20634, 779, 281, 430, 309, 1032, 3597, 910, 510, 2815, 5854, 35585, 7067, 6729, 38495, 18, 817, 15135, 16, 374, 12674, 487, 687, 6169, 6731, 12922, 454, 16, 367, 430, 3597, 11223, 840, 3624, 282, 478, 627, 4267, 9484, 861, 2, 1, 87, 1456, 81, 2448, 30, 14102, 38889, 415, 1295, 20170, 6070, 1236, 301, 3930, 322, 49510, 300, 309, 10575, 12648, 11369, 40430, 18, 9857, 3003, 10954, 282, 10882, 9762, 713, 778, 34086, 1551, 4534, 18, 2877, 5037, 415, 1295, 20170, 15279, 3882, 16064, 4183, 18065, 24979, 10208, 349, 502, 16, 374, 1500, 23539, 1549, 282, 505, 17343, 49510, 272, 18, 31224, 30, 24569, 9762, 713, 718, 3700, 4534, 282, 10882, 5828, 2077, 11050, 35902, 6198, 835, 17010, 473, 630, 1295, 20170, 13, 13536, 1236, 301, 12568, 334, 6619, 381, 4434, 763, 282, 7628, 30594, 282, 4599, 11131, 12648, 11369, 40430, 1624, 6442, 478, 46088, 18, 8381, 470, 282, 415, 1295, 20170, 18, 478, 24569, 5930, 364, 37313, 13536, 1236, 301, 12568, 282, 2630, 281, 25094, 282, 505, 17343, 9536, 25555, 35044, 910, 510, 2815, 12117, 5854, 5054, 18, 27695, 11131, 12510, 1483, 5539, 9321, 282, 12564, 16, 374, 1236, 301, 3930, 35921, 10575, 282, 2246, 635, 47246, 18, 478, 5786, 1319, 7046, 411, 13124, 290, 4211, 17, 31508, 16, 9954, 423, 16, 11666, 4513, 25383, 28536, 16, 8597, 617, 590, 17900, 14031, 8779, 1973, 26022, 11131, 910, 510, 15875, 722, 6080, 478, 13261, 861, 4530, 867, 16, 334, 722, 3163, 16, 10438, 16, 282, 4810, 16, 34388, 6431, 1624, 11179, 9573, 345, 14280, 10575, 16, 4302, 17963, 322, 387, 31505, 18, 8071, 1101, 1279, 415, 1295, 20170, 282, 5329, 289, 1236, 301, 12568, 282, 4810, 334, 422, 18, 1061, 18, 5584, 49399, 2407, 473, 28756, 7629, 13, 898, 7301, 1007, 282, 11130, 4018, 779, 18, 7200, 9128, 24979, 4534, 3720, 39791, 35921, 25656, 1051, 282, 5241, 763, 33394, 4939, 432, 17737, 16, 8779, 413, 3302, 6292, 16, 24649, 289, 11703, 516, 26022, 11131, 12648, 11369, 40430, 18, 415, 1295, 20170, 23588, 7282, 282, 7628, 30594, 1011, 697, 9269, 10744, 282, 36909, 18, 3529, 1236, 301, 3930, 8409, 5848, 18071, 334, 13229, 322, 4550, 13230, 6226, 7775, 12648, 11369, 40430, 16, 334, 697, 3163, 16, 478, 8108, 1431, 17937, 282, 4211, 17, 19875, 861, 365, 3106, 45515, 553, 25656, 1157, 5824, 925, 8761, 1465, 411, 5635, 4669, 16040, 18, 3026, 639, 9921, 16, 374, 424, 7178, 668, 5998, 10211, 44356, 2619, 1409, 9, 6394, 12648, 18, 2949, 978, 16, 334, 3227, 6710, 415, 1295, 20170, 16, 282, 20904, 15904, 8185, 276, 1760, 26928, 22909, 16, 1784, 323, 343, 16, 4347, 35368, 16, 588, 15421, 356, 7523, 16, 4347, 2346, 343, 16, 1376, 390, 3412, 16, 1556, 2232, 289, 13607, 24519, 26343, 2899, 18, 478, 43139, 5743, 10438, 334, 18123, 22974, 1133, 20233, 3953, 9528, 6575, 1809, 49258, 680, 289, 2337, 538, 1101, 309, 1576, 1643, 910, 510, 13202, 18964, 415, 1295, 20170, 2768, 17981, 18, 2949, 978, 282, 415, 1295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12961, 290, 29860, 41005, 395, 3018, 40707, 6287, 20634, 779, 18, 478, 6039, 17, 2767, 3771, 510, 4909, 11265, 7441, 18, 3397, 656, 22055, 1195, 28742, 13523, 39144, 9939, 16, 289, 309, 803, 8011, 2023, 16, 374, 9258, 1287, 16, 23779, 40078, 16, 2419, 16, 785, 1337, 33840, 1205, 14979, 16, 510, 322, 939, 30330, 910, 510, 5273, 528, 41672, 401, 18, 29976, 755, 27250, 16, 374, 282, 1750, 16, 827, 6511, 45682, 411, 20634, 19210, 282, 4413, 9804, 16, 912, 14394, 16, 374, 282, 4676, 6648, 492, 36570, 322, 309, 1613, 14596, 18, 478, 17603, 282, 23747, 912, 1033, 36870, 448, 3860, 16, 828, 3471, 4851, 8059, 290, 10659, 263, 2742, 34765, 910, 510, 45574, 528, 41672, 401, 18, 365, 502, 575, 808, 16188, 4958, 4946, 28349, 25156, 16, 374, 13167, 549, 4497, 12904, 1175, 16, 30031, 722, 14077, 5473, 16, 17525, 289, 8347, 19661, 23817, 1247, 381, 18464, 32505, 294, 29933, 18390, 2742, 20634, 779, 18, 824, 4734, 7620, 28513, 16, 24300, 35216, 10859, 5791, 277, 2678, 1033, 15571, 3836, 33648, 808, 779, 541, 50080, 6979, 2533, 18, 967, 803, 5037, 22519, 4137, 41790, 22427, 46831, 2742, 20634, 779, 764, 281, 6705, 779, 18, 18162, 12961, 492, 18590, 867, 16, 374, 10659, 20634, 779, 1103, 5700, 12753, 349, 2948, 43834, 3597, 18, 2949, 924, 16, 3333, 7761, 329, 21923, 23233, 282, 27424, 451, 9518, 289, 2669, 18189, 281, 1807, 2533, 16, 289, 282, 6031, 25085, 24311, 467, 6335, 2301, 3597, 18, 478, 4529, 4236, 12674, 339, 475, 35254, 779, 510, 11223, 16, 35644, 510, 281, 430, 3802, 18, 439, 33840, 1205, 1103, 4883, 334, 1760, 4189, 16, 289, 475, 30720, 510, 41961, 46746, 16, 16475, 2257, 510, 281, 1760, 4189, 519, 3915, 3597, 18, 1345, 373, 5194, 3457, 18103, 2331, 16, 1642, 6979, 18, 1345, 5211, 549, 8768, 31, 374, 656, 520, 19281, 6979, 10355, 2954, 16, 374, 336, 8475, 1209, 294, 430, 3597, 16, 1085, 481, 18851, 5433, 510, 23870, 41790, 282, 11130, 4145, 779, 18, 365, 1175, 11179, 39811, 8369, 290, 10659, 263, 20634, 779, 670, 32694, 3539, 14529, 29051, 289, 6190, 26648, 7113, 46551, 18, 5161, 16, 282, 2604, 1045, 4770, 2407, 4137, 6732, 8409, 7638, 17, 2589, 15803, 31980, 289, 1530, 12466, 396, 8807, 1247, 290, 3775, 25164, 821, 16764, 35968, 2742, 20634, 779, 18, 3529, 12282, 862, 11721, 3140, 395, 289, 35644, 395, 7557, 13943, 21492, 2742, 12617, 282, 2849, 281, 430, 334, 1760, 3597, 18, 2871, 2610, 7253, 28349, 685, 16804, 4830, 7550, 9867, 341, 375, 18, 824, 505, 4734, 16, 481, 5736, 4366, 10268, 22173, 282, 4008, 16, 367, 1038, 19760, 28878, 309, 30422, 548, 289, 11262, 2664, 282, 4101, 41961, 4701, 18, 478, 7494, 656, 430, 3597, 411, 11007, 289, 13822, 475, 3256, 871, 339, 510, 289, 519, 22678, 16, 519, 13111, 3598, 655, 367, 9518, 17, 299, 912, 910, 510, 9848, 1655, 9867, 341, 375, 18, 365, 803, 1045, 7059, 290, 10659, 263, 2742, 20634, 779, 18749, 17190, 32361, 282, 2630, 281, 867, 16, 374, 309, 430, 3597, 6110, 12655, 778, 9288, 6001, 6838, 17, 12538, 2381, 18, 1598, 17, 431, 978, 282, 30166, 6648, 4855, 22, 2479, 27, 16, 34792, 2406, 281, 5452, 34677, 22462, 957, 16, 6169, 6731, 12922, 454, 35386, 1032, 3597, 18, 478, 2176, 11073, 35585, 7067, 37116, 12607, 6975, 639, 7239, 3003, 290, 10659, 263, 6169, 2209, 49254, 334, 18186, 2742, 20634, 779, 281, 430, 309, 1032, 3597, 910, 510, 2815, 5854, 35585, 7067, 6729, 38495, 18, 817, 15135, 16, 374, 12674, 487, 687, 6169, 6731, 12922, 454, 16, 367, 430, 3597, 11223, 840, 3624, 282, 478, 627, 4267, 9484, 861, 2, 1, 87, 1456, 81, 2448, 30, 14102, 38889, 415, 1295, 20170, 6070, 1236, 301, 3930, 322, 49510, 300, 309, 10575, 12648, 11369, 40430, 18, 9857, 3003, 10954, 282, 10882, 9762, 713, 778, 34086, 1551, 4534, 18, 2877, 5037, 415, 1295, 20170, 15279, 3882, 16064, 4183, 18065, 24979, 10208, 349, 502, 16, 374, 1500, 23539, 1549, 282, 505, 17343, 49510, 272, 18, 31224, 30, 24569, 9762, 713, 718, 3700, 4534, 282, 10882, 5828, 2077, 11050, 35902, 6198, 835, 17010, 473, 630, 1295, 20170, 13, 13536, 1236, 301, 12568, 334, 6619, 381, 4434, 763, 282, 7628, 30594, 282, 4599, 11131, 12648, 11369, 40430, 1624, 6442, 478, 46088, 18, 8381, 470, 282, 415, 1295, 20170, 18, 478, 24569, 5930, 364, 37313, 13536, 1236, 301, 12568, 282, 2630, 281, 25094, 282, 505, 17343, 9536, 25555, 35044, 910, 510, 2815, 12117, 5854, 5054, 18, 27695, 11131, 12510, 1483, 5539, 9321, 282, 12564, 16, 374, 1236, 301, 3930, 35921, 10575, 282, 2246, 635, 47246, 18, 478, 5786, 1319, 7046, 411, 13124, 290, 4211, 17, 31508, 16, 9954, 423, 16, 11666, 4513, 25383, 28536, 16, 8597, 617, 590, 17900, 14031, 8779, 1973, 26022, 11131, 910, 510, 15875, 722, 6080, 478, 13261, 861, 4530, 867, 16, 334, 722, 3163, 16, 10438, 16, 282, 4810, 16, 34388, 6431, 1624, 11179, 9573, 345, 14280, 10575, 16, 4302, 17963, 322, 387, 31505, 18, 8071, 1101, 1279, 415, 1295, 20170, 282, 5329, 289, 1236, 301, 12568, 282, 4810, 334, 422, 18, 1061, 18, 5584, 49399, 2407, 473, 28756, 7629, 13, 898, 7301, 1007, 282, 11130, 4018, 779, 18, 7200, 9128, 24979, 4534, 3720, 39791, 35921, 25656, 1051, 282, 5241, 763, 33394, 4939, 432, 17737, 16, 8779, 413, 3302, 6292, 16, 24649, 289, 11703, 516, 26022, 11131, 12648, 11369, 40430, 18, 415, 1295, 20170, 23588, 7282, 282, 7628, 30594, 1011, 697, 9269, 10744, 282, 36909, 18, 3529, 1236, 301, 3930, 8409, 5848, 18071, 334, 13229, 322, 4550, 13230, 6226, 7775, 12648, 11369, 40430, 16, 334, 697, 3163, 16, 478, 8108, 1431, 17937, 282, 4211, 17, 19875, 861, 365, 3106, 45515, 553, 25656, 1157, 5824, 925, 8761, 1465, 411, 5635, 4669, 16040, 18, 3026, 639, 9921, 16, 374, 424, 7178, 668, 5998, 10211, 44356, 2619, 1409, 9, 6394, 12648, 18, 2949, 978, 16, 334, 3227, 6710, 415, 1295, 20170, 16, 282, 20904, 15904, 8185, 276, 1760, 26928, 22909, 16, 1784, 323, 343, 16, 4347, 35368, 16, 588, 15421, 356, 7523, 16, 4347, 2346, 343, 16, 1376, 390, 3412, 16, 1556, 2232, 289, 13607, 24519, 26343, 2899, 18, 478, 43139, 5743, 10438, 334, 18123, 22974, 1133, 20233, 3953, 9528, 6575, 1809, 49258, 680, 289, 2337, 538, 1101, 309, 1576, 1643, 910, 510, 13202, 18964, 415, 1295, 20170, 2768, 17981, 18, 2949, 978, 282, 415, 1295 ]
[ 20170, 36503, 360, 30226, 294, 1158, 1147, 7301, 954, 25555, 1101, 18, 478, 19571, 1788, 8097, 16, 374, 11891, 49399, 16, 334, 1754, 15769, 641, 16064, 25656, 1051, 16, 4079, 4318, 3941, 764, 4039, 4189, 4018, 18, 740, 17586, 21996, 1745, 322, 40552, 43130, 6622, 48157, 25656, 1051, 334, 50199, 1027, 6508, 4846, 3941, 7705, 910, 510, 6442, 1655, 282, 3781, 17, 12495, 18, 478, 7148, 348, 448, 3193, 4183, 18065, 24979, 2001, 439, 18, 365, 18, 14213, 7408, 16, 1029, 5112, 3508, 12676, 6347, 4838, 26235, 1552, 16, 1698, 4849, 3194, 290, 505, 19514, 47523, 617, 670, 290, 17472, 43215, 19790, 11131, 12648, 11369, 40430, 18733, 1713, 6710, 5738, 910, 510, 34259, 282, 415, 1295, 20170, 18, 2877, 16, 1011, 924, 428, 415, 1295, 20170, 9600, 7499, 435, 1743, 16, 6070, 1236, 301, 3930, 15279, 15542, 282, 36909, 764, 2361, 8348, 30, 478, 630, 1295, 20170, 4540, 1569, 13449, 1247, 290, 35566, 4201, 439, 18, 365, 18, 14213, 7408, 2412, 6036, 9515, 1188, 10970, 620, 2001, 4534, 16, 367, 1038, 840, 30947, 5743, 10438, 48774, 29415, 15116, 26928, 8743, 16, 9954, 31817, 5856, 281, 9444, 11131, 25485, 563, 16, 309, 2923, 12648, 11369, 40430, 861, 47245, 10936, 3187, 1941, 17981, 282, 10882, 5475, 322, 3225, 18, 2, 1, 87, 1456, 81, 2448, 30, 18819, 2997, 16480, 48372, 281, 478, 41192, 660, 861, 13734, 778, 3216, 322, 895, 18548, 726, 282, 3437, 21273, 18, 478, 11108, 12887, 470, 309, 36934, 19121, 310, 4027, 478, 29521, 293, 8286, 910, 19966, 315, 2411, 15507, 2822, 282, 25881, 46881, 5670, 18, 31224, 30, 682, 45461, 549, 17786, 36446, 2997, 14968, 18, 7909, 26908, 778, 3216, 322, 21035, 478, 1098, 350, 11015, 910, 2512, 322, 30342, 271, 478, 618, 274, 283, 5663, 470, 473, 265, 15186, 309, 1421, 7977, 34738, 625, 5038, 278, 831, 4414, 546, 4032, 16, 1881, 2822, 35969, 29720, 289, 16, 428, 13391, 16, 5689, 1166, 33190, 934, 367, 1441, 322, 19121, 310, 478, 41192, 660, 861, 478, 1140, 813, 1003, 1791, 281, 12687, 2206, 16, 510, 2815, 282, 28138, 7977, 6548, 9680, 36446, 2997, 2776, 435, 1236, 11833, 370, 345, 18, 510, 1345, 39469, 43313, 44984, 7242, 4368, 19311, 289, 4693, 1421, 26654, 18, 1345, 24134, 16, 374, 42262, 813, 8232, 22070, 18, 478, 41192, 660, 470, 3164, 282, 23022, 5492, 18, 740, 282, 8151, 5576, 492, 15097, 282, 38396, 5538, 18, 5454, 16, 42222, 21755, 322, 519, 3915, 4522, 2602, 28834, 365, 17139, 16180, 5538, 478, 41192, 660, 470, 41905, 281, 537, 19090, 510, 282, 4377, 20909, 3216, 411, 10208, 17690, 3566, 314, 14807, 281, 478, 3127, 269, 4574, 323, 41157, 323, 861, 365, 44275, 46881, 2522, 1368, 1428, 873, 19121, 538, 478, 1605, 420, 363, 470, 289, 478, 730, 286, 268, 861, 640, 10704, 385, 1007, 478, 41192, 660, 470, 5892, 1475, 282, 3968, 1484, 15465, 16180, 430, 723, 640, 478, 672, 13419, 744, 378, 987, 267, 470, 478, 41192, 660, 470, 24935, 360, 7225, 16, 36446, 2997, 14206, 35463, 14636, 2429, 315, 18, 365, 4056, 7640, 17, 25822, 582, 3560, 31328, 2083, 38992, 6976, 26407, 2042, 48853, 10754, 289, 768, 1083, 3076, 3551, 462, 298, 18, 40519, 3404, 22110, 9871, 16, 1187, 22724, 6147, 590, 292, 305, 2538, 21680, 1321, 289, 25440, 424, 34874, 888, 18, 4800, 34544, 25795, 2611, 10056, 42235, 13879, 3064, 5335, 282, 3099, 7237, 17386, 582, 18, 2112, 21842, 4004, 4466, 322, 20951, 18, 19770, 3583, 40343, 16, 4446, 7304, 18360, 18, 8071, 1289, 13008, 37103, 48853, 10754, 510, 5826, 4570, 11216, 48659, 5289, 7889, 18, 33301, 639, 22810, 289, 282, 36725, 36446, 2997, 18, 365, 6031, 4966, 25897, 12408, 18, 13734, 4172, 6933, 282, 8151, 44200, 30423, 16, 367, 2522, 1368, 1428, 873, 40211, 4024, 478, 11108, 12887, 861, 415, 780, 282, 15301, 28220, 21035, 4027, 510, 478, 29521, 293, 8286, 910, 19966, 315, 2411, 15507, 2822, 282, 25881, 11258, 18, 7106, 16, 374, 282, 5572, 28220, 7193, 36818, 1258, 1592, 287, 322, 497, 8360, 281, 478, 25117, 1528, 41236, 910, 367, 567, 7422, 49266, 478, 1098, 350, 1042, 392, 861, 36535, 478, 29521, 293, 8286, 470, 282, 31277, 44043, 651, 282, 3437, 21273, 7193, 349, 7954, 1223, 1472, 1272, 37253, 18, 16003, 16, 856, 709, 3554, 282, 478, 31742, 300, 470, 35065, 1307, 28772, 7586, 415, 3431, 1919, 11219, 344, 18, 14427, 9680, 478, 11108, 267, 831, 470, 8829, 504, 412, 10552, 7977, 685, 6116, 3653, 928, 18, 478, 4529, 16, 309, 46144, 7561, 745, 28365, 538, 1272, 14248, 16, 510, 2815, 492, 18, 651, 981, 16, 415, 3431, 1919, 11219, 344, 1441, 13309, 282, 9460, 18, 740, 1299, 840, 22738, 14007, 16, 1678, 23763, 7193, 2553, 861, 1258, 1592, 269, 575, 3153, 25696, 758, 11958, 2535, 18, 478, 630, 780, 651, 481, 415, 780, 16, 510, 1109, 492, 18, 510, 6928, 8232, 13337, 2110, 42262, 861, 7200, 44368, 1008, 364, 40781, 1376, 297, 20892, 2514, 18569, 18, 824, 8331, 22711, 25592, 639, 1272, 18, 4824, 329, 478, 29521, 293, 8286, 470, 510, 309, 2992, 20537, 1011, 396, 881, 7468, 10376, 16, 1176, 329, 478, 11108, 267, 831, 470, 510, 48395, 2124, 13966, 12298, 37103, 3121, 18, 1591, 2992, 11053, 4446, 38925, 751, 18, 2052, 276, 844, 706, 14455, 263, 14901, 1219, 23570, 16, 21808, 1375, 894, 6288, 17, 672, 3076, 1258, 375, 28838, 18, 640, 45546, 282, 6031, 17363, 774, 18, 9300, 12954, 3619, 11216, 309, 5625, 36725, 16, 367, 2512, 1322, 405, 2635, 905, 282, 13757, 883, 6421, 18, 365, 5462, 582, 2948, 3895, 322, 32644, 364, 11170, 931, 16687, 265, 1624, 13410, 8694, 282, 33973, 877, 18, 2112, 5251, 2009, 2595, 11287, 504, 412, 4725, 11424, 2441, 32462, 478, 11108, 267, 831, 910, 367, 1038, 31696, 1258, 375, 1042, 343, 18, 1258, 1592, 269, 2815, 16, 374, 13852, 7977, 529, 298, 8531, 478, 41557, 1117, 549, 16483, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 7561, 5670, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 48456, 7569, 304, 23694, 7808, 764, 1176, 48750, 17, 33819, 4961, 510, 8942, 1782, 1484, 616, 718, 38329, 7377, 16, 1372, 1779, 309, 8711, 547, 39973, 282, 50017, 4141, 16, 4419, 360, 36716, 9100, 764, 1272, 11241, 13005, 16, 1372, 2339, 1195, 21649, 680, 25514, 26957, 18, 23654, 18924, 34856, 14647, 1133, 36667, 282, 3320, 39269, 18, 31224, 30, 677, 1782, 21358, 404, 282, 9937, 685, 7808, 8942, 24930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20170, 36503, 360, 30226, 294, 1158, 1147, 7301, 954, 25555, 1101, 18, 478, 19571, 1788, 8097, 16, 374, 11891, 49399, 16, 334, 1754, 15769, 641, 16064, 25656, 1051, 16, 4079, 4318, 3941, 764, 4039, 4189, 4018, 18, 740, 17586, 21996, 1745, 322, 40552, 43130, 6622, 48157, 25656, 1051, 334, 50199, 1027, 6508, 4846, 3941, 7705, 910, 510, 6442, 1655, 282, 3781, 17, 12495, 18, 478, 7148, 348, 448, 3193, 4183, 18065, 24979, 2001, 439, 18, 365, 18, 14213, 7408, 16, 1029, 5112, 3508, 12676, 6347, 4838, 26235, 1552, 16, 1698, 4849, 3194, 290, 505, 19514, 47523, 617, 670, 290, 17472, 43215, 19790, 11131, 12648, 11369, 40430, 18733, 1713, 6710, 5738, 910, 510, 34259, 282, 415, 1295, 20170, 18, 2877, 16, 1011, 924, 428, 415, 1295, 20170, 9600, 7499, 435, 1743, 16, 6070, 1236, 301, 3930, 15279, 15542, 282, 36909, 764, 2361, 8348, 30, 478, 630, 1295, 20170, 4540, 1569, 13449, 1247, 290, 35566, 4201, 439, 18, 365, 18, 14213, 7408, 2412, 6036, 9515, 1188, 10970, 620, 2001, 4534, 16, 367, 1038, 840, 30947, 5743, 10438, 48774, 29415, 15116, 26928, 8743, 16, 9954, 31817, 5856, 281, 9444, 11131, 25485, 563, 16, 309, 2923, 12648, 11369, 40430, 861, 47245, 10936, 3187, 1941, 17981, 282, 10882, 5475, 322, 3225, 18, 2, 1, 87, 1456, 81, 2448, 30, 18819, 2997, 16480, 48372, 281, 478, 41192, 660, 861, 13734, 778, 3216, 322, 895, 18548, 726, 282, 3437, 21273, 18, 478, 11108, 12887, 470, 309, 36934, 19121, 310, 4027, 478, 29521, 293, 8286, 910, 19966, 315, 2411, 15507, 2822, 282, 25881, 46881, 5670, 18, 31224, 30, 682, 45461, 549, 17786, 36446, 2997, 14968, 18, 7909, 26908, 778, 3216, 322, 21035, 478, 1098, 350, 11015, 910, 2512, 322, 30342, 271, 478, 618, 274, 283, 5663, 470, 473, 265, 15186, 309, 1421, 7977, 34738, 625, 5038, 278, 831, 4414, 546, 4032, 16, 1881, 2822, 35969, 29720, 289, 16, 428, 13391, 16, 5689, 1166, 33190, 934, 367, 1441, 322, 19121, 310, 478, 41192, 660, 861, 478, 1140, 813, 1003, 1791, 281, 12687, 2206, 16, 510, 2815, 282, 28138, 7977, 6548, 9680, 36446, 2997, 2776, 435, 1236, 11833, 370, 345, 18, 510, 1345, 39469, 43313, 44984, 7242, 4368, 19311, 289, 4693, 1421, 26654, 18, 1345, 24134, 16, 374, 42262, 813, 8232, 22070, 18, 478, 41192, 660, 470, 3164, 282, 23022, 5492, 18, 740, 282, 8151, 5576, 492, 15097, 282, 38396, 5538, 18, 5454, 16, 42222, 21755, 322, 519, 3915, 4522, 2602, 28834, 365, 17139, 16180, 5538, 478, 41192, 660, 470, 41905, 281, 537, 19090, 510, 282, 4377, 20909, 3216, 411, 10208, 17690, 3566, 314, 14807, 281, 478, 3127, 269, 4574, 323, 41157, 323, 861, 365, 44275, 46881, 2522, 1368, 1428, 873, 19121, 538, 478, 1605, 420, 363, 470, 289, 478, 730, 286, 268, 861, 640, 10704, 385, 1007, 478, 41192, 660, 470, 5892, 1475, 282, 3968, 1484, 15465, 16180, 430, 723, 640, 478, 672, 13419, 744, 378, 987, 267, 470, 478, 41192, 660, 470, 24935, 360, 7225, 16, 36446, 2997, 14206, 35463, 14636, 2429, 315, 18, 365, 4056, 7640, 17, 25822, 582, 3560, 31328, 2083, 38992, 6976, 26407, 2042, 48853, 10754, 289, 768, 1083, 3076, 3551, 462, 298, 18, 40519, 3404, 22110, 9871, 16, 1187, 22724, 6147, 590, 292, 305, 2538, 21680, 1321, 289, 25440, 424, 34874, 888, 18, 4800, 34544, 25795, 2611, 10056, 42235, 13879, 3064, 5335, 282, 3099, 7237, 17386, 582, 18, 2112, 21842, 4004, 4466, 322, 20951, 18, 19770, 3583, 40343, 16, 4446, 7304, 18360, 18, 8071, 1289, 13008, 37103, 48853, 10754, 510, 5826, 4570, 11216, 48659, 5289, 7889, 18, 33301, 639, 22810, 289, 282, 36725, 36446, 2997, 18, 365, 6031, 4966, 25897, 12408, 18, 13734, 4172, 6933, 282, 8151, 44200, 30423, 16, 367, 2522, 1368, 1428, 873, 40211, 4024, 478, 11108, 12887, 861, 415, 780, 282, 15301, 28220, 21035, 4027, 510, 478, 29521, 293, 8286, 910, 19966, 315, 2411, 15507, 2822, 282, 25881, 11258, 18, 7106, 16, 374, 282, 5572, 28220, 7193, 36818, 1258, 1592, 287, 322, 497, 8360, 281, 478, 25117, 1528, 41236, 910, 367, 567, 7422, 49266, 478, 1098, 350, 1042, 392, 861, 36535, 478, 29521, 293, 8286, 470, 282, 31277, 44043, 651, 282, 3437, 21273, 7193, 349, 7954, 1223, 1472, 1272, 37253, 18, 16003, 16, 856, 709, 3554, 282, 478, 31742, 300, 470, 35065, 1307, 28772, 7586, 415, 3431, 1919, 11219, 344, 18, 14427, 9680, 478, 11108, 267, 831, 470, 8829, 504, 412, 10552, 7977, 685, 6116, 3653, 928, 18, 478, 4529, 16, 309, 46144, 7561, 745, 28365, 538, 1272, 14248, 16, 510, 2815, 492, 18, 651, 981, 16, 415, 3431, 1919, 11219, 344, 1441, 13309, 282, 9460, 18, 740, 1299, 840, 22738, 14007, 16, 1678, 23763, 7193, 2553, 861, 1258, 1592, 269, 575, 3153, 25696, 758, 11958, 2535, 18, 478, 630, 780, 651, 481, 415, 780, 16, 510, 1109, 492, 18, 510, 6928, 8232, 13337, 2110, 42262, 861, 7200, 44368, 1008, 364, 40781, 1376, 297, 20892, 2514, 18569, 18, 824, 8331, 22711, 25592, 639, 1272, 18, 4824, 329, 478, 29521, 293, 8286, 470, 510, 309, 2992, 20537, 1011, 396, 881, 7468, 10376, 16, 1176, 329, 478, 11108, 267, 831, 470, 510, 48395, 2124, 13966, 12298, 37103, 3121, 18, 1591, 2992, 11053, 4446, 38925, 751, 18, 2052, 276, 844, 706, 14455, 263, 14901, 1219, 23570, 16, 21808, 1375, 894, 6288, 17, 672, 3076, 1258, 375, 28838, 18, 640, 45546, 282, 6031, 17363, 774, 18, 9300, 12954, 3619, 11216, 309, 5625, 36725, 16, 367, 2512, 1322, 405, 2635, 905, 282, 13757, 883, 6421, 18, 365, 5462, 582, 2948, 3895, 322, 32644, 364, 11170, 931, 16687, 265, 1624, 13410, 8694, 282, 33973, 877, 18, 2112, 5251, 2009, 2595, 11287, 504, 412, 4725, 11424, 2441, 32462, 478, 11108, 267, 831, 910, 367, 1038, 31696, 1258, 375, 1042, 343, 18, 1258, 1592, 269, 2815, 16, 374, 13852, 7977, 529, 298, 8531, 478, 41557, 1117, 549, 16483, 861, 11333, 6034, 289, 7036, 942, 5298, 309, 7759, 7561, 5670, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 48456, 7569, 304, 23694, 7808, 764, 1176, 48750, 17, 33819, 4961, 510, 8942, 1782, 1484, 616, 718, 38329, 7377, 16, 1372, 1779, 309, 8711, 547, 39973, 282, 50017, 4141, 16, 4419, 360, 36716, 9100, 764, 1272, 11241, 13005, 16, 1372, 2339, 1195, 21649, 680, 25514, 26957, 18, 23654, 18924, 34856, 14647, 1133, 36667, 282, 3320, 39269, 18, 31224, 30, 677, 1782, 21358, 404, 282, 9937, 685, 7808, 8942, 24930 ]
[ 14328, 7377, 6420, 419, 2503, 35954, 488, 331, 21169, 18, 44761, 539, 11260, 9560, 309, 20748, 505, 7994, 48717, 1779, 5289, 23761, 7096, 285, 16, 32556, 10027, 1149, 7436, 18, 44761, 11540, 309, 4625, 528, 380, 17, 2176, 818, 309, 15934, 21649, 680, 10208, 18, 9418, 281, 32888, 282, 15484, 27515, 1050, 4317, 25, 21649, 680, 35591, 8926, 1272, 1631, 16, 745, 5684, 17706, 18, 44881, 1510, 35954, 488, 331, 21169, 25512, 1176, 411, 10628, 7245, 28481, 5500, 282, 50017, 4141, 16, 988, 21649, 1162, 25497, 334, 30863, 6846, 473, 630, 45667, 13, 20515, 21597, 2357, 16282, 324, 18, 7720, 897, 468, 309, 35954, 488, 331, 669, 324, 639, 31044, 334, 3217, 575, 22010, 16, 374, 289, 30326, 13784, 309, 21649, 933, 8711, 5363, 18, 4518, 4120, 4479, 779, 34591, 16, 22042, 6519, 309, 23761, 2561, 292, 16, 18700, 23694, 309, 16603, 8974, 42786, 17, 33819, 7336, 6825, 675, 347, 19792, 312, 1394, 289, 727, 6753, 554, 324, 5714, 807, 440, 981, 19849, 16, 14682, 30851, 7941, 11528, 504, 1521, 43276, 345, 18, 365, 3198, 37922, 19792, 312, 1394, 16, 1372, 1779, 282, 35317, 334, 30863, 6846, 289, 10348, 756, 5229, 309, 21397, 46831, 1420, 266, 1368, 434, 29498, 16, 3994, 18, 32509, 807, 16, 5546, 13438, 5714, 807, 440, 16, 1472, 49464, 975, 18368, 17706, 18, 23102, 5714, 807, 440, 21253, 21649, 1880, 10126, 539, 28402, 18, 22050, 1133, 18909, 5792, 15684, 4913, 19792, 312, 1394, 478, 597, 283, 337, 1873, 861, 999, 4705, 4776, 519, 978, 360, 12677, 13774, 8260, 7296, 6036, 23694, 3994, 764, 1176, 8711, 4961, 16, 8942, 1782, 1484, 616, 718, 7377, 41297, 446, 7362, 47635, 429, 488, 18, 32509, 807, 906, 6042, 798, 282, 8183, 16, 785, 492, 5008, 349, 21929, 1728, 7994, 18, 44761, 539, 11260, 639, 20695, 3890, 294, 31825, 1528, 16, 40099, 17152, 2406, 281, 505, 24467, 18, 20405, 16, 374, 7362, 47635, 429, 488, 11391, 282, 1782, 1484, 616, 1212, 13785, 1420, 266, 1368, 758, 5981, 353, 16, 5195, 520, 492, 6843, 294, 21649, 680, 25514, 9212, 510, 322, 17930, 18, 16577, 1272, 5196, 2891, 18924, 34856, 282, 3320, 48118, 14647, 2127, 30382, 21021, 3375, 16, 8693, 275, 16, 374, 282, 4008, 906, 35529, 2819, 798, 18429, 48684, 1861, 549, 10177, 18, 403, 16598, 536, 2146, 43362, 942, 17584, 1038, 11910, 21491, 33686, 518, 1484, 616, 718, 24930, 14328, 7377, 981, 312, 272, 669, 1895, 431, 375, 383, 626, 347, 16, 17005, 7194, 282, 12938, 4440, 779, 48717, 5583, 5289, 23761, 7096, 2922, 18, 31186, 6557, 650, 5229, 37794, 5792, 428, 478, 18609, 931, 17, 33819, 4961, 910, 1895, 431, 375, 383, 626, 280, 16, 428, 12374, 10353, 16, 33883, 294, 13441, 43171, 334, 6518, 4044, 18, 17464, 1133, 8667, 477, 7755, 309, 13156, 282, 4819, 582, 19645, 16, 374, 20293, 5931, 1195, 744, 5097, 2610, 541, 20722, 21649, 680, 30863, 23694, 18, 365, 10841, 5653, 779, 371, 35993, 15340, 3994, 21701, 22881, 14331, 7857, 598, 718, 7377, 289, 24930, 14328, 7377, 1782, 21358, 324, 1870, 476, 9925, 768, 397, 5944, 21013, 16, 281, 6982, 779, 1372, 1779, 282, 15832, 1212, 8711, 547, 5214, 282, 7375, 399, 1408, 4172, 18, 415, 505, 11337, 21649, 1133, 5792, 6442, 1472, 5284, 6396, 16, 46939, 16, 374, 20293, 3994, 360, 478, 370, 489, 917, 39903, 861, 3529, 16, 2686, 16, 2891, 18924, 322, 2458, 20862, 874, 15506, 16, 4806, 36828, 505, 4913, 309, 47348, 9080, 510, 8776, 2606, 373, 16596, 8697, 18, 3529, 12101, 5037, 415, 45667, 4800, 2078, 10637, 11191, 431, 476, 2815, 16338, 16, 374, 475, 21649, 1133, 19998, 17, 33819, 6951, 6535, 478, 275, 35788, 10295, 1668, 265, 910, 367, 768, 397, 5944, 21013, 294, 7446, 21649, 680, 25514, 4696, 322, 11091, 709, 18, 23102, 11077, 29142, 11910, 8998, 523, 17, 33819, 5363, 15747, 34156, 541, 32250, 22140, 21649, 3334, 23536, 16145, 289, 16101, 289, 37976, 697, 36667, 282, 10076, 292, 18, 24372, 388, 7362, 47635, 429, 488, 289, 45892, 309, 5714, 807, 440, 4770, 17487, 30573, 35954, 1428, 383, 626, 280, 8566, 40526, 478, 3497, 612, 400, 20200, 837, 470, 2145, 16, 478, 440, 2603, 28651, 10342, 470, 473, 1243, 282, 48456, 7788, 17464, 13, 289, 478, 408, 25106, 470, 309, 2923, 18924, 18, 2112, 11337, 1895, 431, 375, 383, 626, 347, 42915, 1962, 313, 38222, 7362, 13414, 14364, 307, 10218, 16, 374, 481, 45892, 16672, 478, 348, 29774, 470, 29820, 17, 49165, 342, 289, 31988, 16, 3067, 5132, 5022, 20316, 14640, 649, 5969, 9526, 25514, 4696, 18, 17464, 21649, 1133, 2891, 34856, 282, 14232, 464, 289, 282, 1177, 445, 18, 478, 983, 304, 807, 906, 15755, 416, 16, 37454, 309, 518, 16, 374, 3255, 26011, 541, 10076, 13005, 18, 11626, 1372, 13030, 949, 2603, 5364, 16, 510, 15875, 1149, 7436, 21993, 7067, 3623, 12810, 1782, 1484, 616, 2725, 399, 2025, 7362, 3495, 1155, 1528, 18, 510, 2901, 2603, 1262, 16, 3073, 16, 12530, 6125, 18081, 49049, 282, 48456, 10552, 473, 3533, 31679, 933, 13, 10144, 289, 19760, 1008, 454, 4186, 309, 16743, 861, 365, 13186, 6705, 779, 282, 27561, 281, 17604, 496, 22065, 44461, 18045, 1176, 411, 25545, 4436, 6814, 13198, 15168, 9600, 13749, 16, 374, 349, 19674, 4869, 309, 14785, 432, 294, 21649, 680, 25514, 9212, 2353, 17464, 16, 515, 8944, 1880, 7441, 2002, 322, 2202, 4262, 978, 935, 1188, 2200, 5508, 2409, 18, 478, 37629, 1270, 445, 16, 785, 656, 2043, 339, 773, 1247, 290, 36849, 294, 2184, 10076, 277, 16, 745, 687, 11006, 802, 282, 1078, 289, 4266, 16, 374, 9181, 322, 4247, 16, 290, 828, 481, 387, 11823, 910, 510, 2815, 39709, 18, 32952, 662, 35954, 488, 331, 669, 324, 3711, 309, 3872, 22070, 2849, 282, 11079, 1251, 1782, 21358, 547, 289, 4650, 536, 12408, 18, 365, 2343, 6705, 779, 22880, 1009, 9899, 1605, 6489, 576, 11205, 381, 21649, 680, 25514, 9212, 16, 282, 2114, 322, 2564, 435, 3118, 4853, 990, 9012, 16101, 6152, 23806, 43089, 1782, 21358, 324, 16, 1011, 1660, 2145, 19645, 290, 36665, 3741, 29300, 1608, 13951, 18, 24031, 349, 2872, 290, 970, 575, 12002, 289, 2553, 22470, 1624, 961, 48318, 15333, 47152, 309, 16127, 21649, 680, 10960, 18, 365, 1078, 1782, 1484, 616, 7609, 9637, 14611, 281, 8187, 758, 4463, 9340, 289, 34347, 364, 12497, 319, 4033, 597, 288, 778, 26872, 16, 1248, 1029, 10074, 519, 4317, 9, 1209, 18577, 20569, 10960, 411, 45790, 718, 24783, 18, 2145 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14328, 7377, 6420, 419, 2503, 35954, 488, 331, 21169, 18, 44761, 539, 11260, 9560, 309, 20748, 505, 7994, 48717, 1779, 5289, 23761, 7096, 285, 16, 32556, 10027, 1149, 7436, 18, 44761, 11540, 309, 4625, 528, 380, 17, 2176, 818, 309, 15934, 21649, 680, 10208, 18, 9418, 281, 32888, 282, 15484, 27515, 1050, 4317, 25, 21649, 680, 35591, 8926, 1272, 1631, 16, 745, 5684, 17706, 18, 44881, 1510, 35954, 488, 331, 21169, 25512, 1176, 411, 10628, 7245, 28481, 5500, 282, 50017, 4141, 16, 988, 21649, 1162, 25497, 334, 30863, 6846, 473, 630, 45667, 13, 20515, 21597, 2357, 16282, 324, 18, 7720, 897, 468, 309, 35954, 488, 331, 669, 324, 639, 31044, 334, 3217, 575, 22010, 16, 374, 289, 30326, 13784, 309, 21649, 933, 8711, 5363, 18, 4518, 4120, 4479, 779, 34591, 16, 22042, 6519, 309, 23761, 2561, 292, 16, 18700, 23694, 309, 16603, 8974, 42786, 17, 33819, 7336, 6825, 675, 347, 19792, 312, 1394, 289, 727, 6753, 554, 324, 5714, 807, 440, 981, 19849, 16, 14682, 30851, 7941, 11528, 504, 1521, 43276, 345, 18, 365, 3198, 37922, 19792, 312, 1394, 16, 1372, 1779, 282, 35317, 334, 30863, 6846, 289, 10348, 756, 5229, 309, 21397, 46831, 1420, 266, 1368, 434, 29498, 16, 3994, 18, 32509, 807, 16, 5546, 13438, 5714, 807, 440, 16, 1472, 49464, 975, 18368, 17706, 18, 23102, 5714, 807, 440, 21253, 21649, 1880, 10126, 539, 28402, 18, 22050, 1133, 18909, 5792, 15684, 4913, 19792, 312, 1394, 478, 597, 283, 337, 1873, 861, 999, 4705, 4776, 519, 978, 360, 12677, 13774, 8260, 7296, 6036, 23694, 3994, 764, 1176, 8711, 4961, 16, 8942, 1782, 1484, 616, 718, 7377, 41297, 446, 7362, 47635, 429, 488, 18, 32509, 807, 906, 6042, 798, 282, 8183, 16, 785, 492, 5008, 349, 21929, 1728, 7994, 18, 44761, 539, 11260, 639, 20695, 3890, 294, 31825, 1528, 16, 40099, 17152, 2406, 281, 505, 24467, 18, 20405, 16, 374, 7362, 47635, 429, 488, 11391, 282, 1782, 1484, 616, 1212, 13785, 1420, 266, 1368, 758, 5981, 353, 16, 5195, 520, 492, 6843, 294, 21649, 680, 25514, 9212, 510, 322, 17930, 18, 16577, 1272, 5196, 2891, 18924, 34856, 282, 3320, 48118, 14647, 2127, 30382, 21021, 3375, 16, 8693, 275, 16, 374, 282, 4008, 906, 35529, 2819, 798, 18429, 48684, 1861, 549, 10177, 18, 403, 16598, 536, 2146, 43362, 942, 17584, 1038, 11910, 21491, 33686, 518, 1484, 616, 718, 24930, 14328, 7377, 981, 312, 272, 669, 1895, 431, 375, 383, 626, 347, 16, 17005, 7194, 282, 12938, 4440, 779, 48717, 5583, 5289, 23761, 7096, 2922, 18, 31186, 6557, 650, 5229, 37794, 5792, 428, 478, 18609, 931, 17, 33819, 4961, 910, 1895, 431, 375, 383, 626, 280, 16, 428, 12374, 10353, 16, 33883, 294, 13441, 43171, 334, 6518, 4044, 18, 17464, 1133, 8667, 477, 7755, 309, 13156, 282, 4819, 582, 19645, 16, 374, 20293, 5931, 1195, 744, 5097, 2610, 541, 20722, 21649, 680, 30863, 23694, 18, 365, 10841, 5653, 779, 371, 35993, 15340, 3994, 21701, 22881, 14331, 7857, 598, 718, 7377, 289, 24930, 14328, 7377, 1782, 21358, 324, 1870, 476, 9925, 768, 397, 5944, 21013, 16, 281, 6982, 779, 1372, 1779, 282, 15832, 1212, 8711, 547, 5214, 282, 7375, 399, 1408, 4172, 18, 415, 505, 11337, 21649, 1133, 5792, 6442, 1472, 5284, 6396, 16, 46939, 16, 374, 20293, 3994, 360, 478, 370, 489, 917, 39903, 861, 3529, 16, 2686, 16, 2891, 18924, 322, 2458, 20862, 874, 15506, 16, 4806, 36828, 505, 4913, 309, 47348, 9080, 510, 8776, 2606, 373, 16596, 8697, 18, 3529, 12101, 5037, 415, 45667, 4800, 2078, 10637, 11191, 431, 476, 2815, 16338, 16, 374, 475, 21649, 1133, 19998, 17, 33819, 6951, 6535, 478, 275, 35788, 10295, 1668, 265, 910, 367, 768, 397, 5944, 21013, 294, 7446, 21649, 680, 25514, 4696, 322, 11091, 709, 18, 23102, 11077, 29142, 11910, 8998, 523, 17, 33819, 5363, 15747, 34156, 541, 32250, 22140, 21649, 3334, 23536, 16145, 289, 16101, 289, 37976, 697, 36667, 282, 10076, 292, 18, 24372, 388, 7362, 47635, 429, 488, 289, 45892, 309, 5714, 807, 440, 4770, 17487, 30573, 35954, 1428, 383, 626, 280, 8566, 40526, 478, 3497, 612, 400, 20200, 837, 470, 2145, 16, 478, 440, 2603, 28651, 10342, 470, 473, 1243, 282, 48456, 7788, 17464, 13, 289, 478, 408, 25106, 470, 309, 2923, 18924, 18, 2112, 11337, 1895, 431, 375, 383, 626, 347, 42915, 1962, 313, 38222, 7362, 13414, 14364, 307, 10218, 16, 374, 481, 45892, 16672, 478, 348, 29774, 470, 29820, 17, 49165, 342, 289, 31988, 16, 3067, 5132, 5022, 20316, 14640, 649, 5969, 9526, 25514, 4696, 18, 17464, 21649, 1133, 2891, 34856, 282, 14232, 464, 289, 282, 1177, 445, 18, 478, 983, 304, 807, 906, 15755, 416, 16, 37454, 309, 518, 16, 374, 3255, 26011, 541, 10076, 13005, 18, 11626, 1372, 13030, 949, 2603, 5364, 16, 510, 15875, 1149, 7436, 21993, 7067, 3623, 12810, 1782, 1484, 616, 2725, 399, 2025, 7362, 3495, 1155, 1528, 18, 510, 2901, 2603, 1262, 16, 3073, 16, 12530, 6125, 18081, 49049, 282, 48456, 10552, 473, 3533, 31679, 933, 13, 10144, 289, 19760, 1008, 454, 4186, 309, 16743, 861, 365, 13186, 6705, 779, 282, 27561, 281, 17604, 496, 22065, 44461, 18045, 1176, 411, 25545, 4436, 6814, 13198, 15168, 9600, 13749, 16, 374, 349, 19674, 4869, 309, 14785, 432, 294, 21649, 680, 25514, 9212, 2353, 17464, 16, 515, 8944, 1880, 7441, 2002, 322, 2202, 4262, 978, 935, 1188, 2200, 5508, 2409, 18, 478, 37629, 1270, 445, 16, 785, 656, 2043, 339, 773, 1247, 290, 36849, 294, 2184, 10076, 277, 16, 745, 687, 11006, 802, 282, 1078, 289, 4266, 16, 374, 9181, 322, 4247, 16, 290, 828, 481, 387, 11823, 910, 510, 2815, 39709, 18, 32952, 662, 35954, 488, 331, 669, 324, 3711, 309, 3872, 22070, 2849, 282, 11079, 1251, 1782, 21358, 547, 289, 4650, 536, 12408, 18, 365, 2343, 6705, 779, 22880, 1009, 9899, 1605, 6489, 576, 11205, 381, 21649, 680, 25514, 9212, 16, 282, 2114, 322, 2564, 435, 3118, 4853, 990, 9012, 16101, 6152, 23806, 43089, 1782, 21358, 324, 16, 1011, 1660, 2145, 19645, 290, 36665, 3741, 29300, 1608, 13951, 18, 24031, 349, 2872, 290, 970, 575, 12002, 289, 2553, 22470, 1624, 961, 48318, 15333, 47152, 309, 16127, 21649, 680, 10960, 18, 365, 1078, 1782, 1484, 616, 7609, 9637, 14611, 281, 8187, 758, 4463, 9340, 289, 34347, 364, 12497, 319, 4033, 597, 288, 778, 26872, 16, 1248, 1029, 10074, 519, 4317, 9, 1209, 18577, 20569, 10960, 411, 45790, 718, 24783, 18, 2145 ]
[ 575, 282, 1078, 46780, 869, 7863, 3670, 16, 374, 12497, 2722, 8649, 26594, 1187, 10981, 895, 45234, 6564, 309, 40819, 1078, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5572, 38529, 478, 730, 303, 363, 5409, 648, 17, 13733, 470, 7732, 8187, 343, 14452, 30308, 5888, 10105, 433, 29453, 6228, 3860, 282, 8267, 281, 50035, 7375, 1458, 304, 411, 2145, 18, 14155, 282, 24087, 8814, 1159, 541, 9764, 309, 26908, 1212, 12095, 464, 25124, 2852, 4601, 291, 18, 31224, 30, 471, 22857, 363, 5409, 648, 26942, 9117, 7788, 1215, 15108, 30308, 22735, 640, 2077, 274, 18, 23710, 306, 345, 13850, 309, 12095, 37044, 478, 35485, 304, 16113, 263, 470, 282, 6982, 1045, 16, 8814, 1577, 26869, 300, 2846, 779, 9410, 16, 367, 23912, 16607, 30956, 282, 6104, 11258, 18, 365, 9871, 440, 546, 2086, 5619, 15880, 13270, 282, 33762, 38529, 478, 730, 303, 363, 5409, 648, 17, 18003, 470, 360, 588, 546, 347, 6140, 884, 385, 1996, 37399, 16, 349, 2486, 685, 8170, 5807, 4523, 449, 1736, 301, 282, 33146, 1555, 23376, 18, 459, 537, 7633, 640, 2077, 306, 322, 6898, 6281, 309, 478, 730, 303, 363, 5409, 648, 470, 4256, 14860, 1505, 26070, 18, 3647, 385, 1996, 1452, 877, 1272, 779, 2158, 492, 25469, 282, 6566, 281, 13021, 18, 3492, 373, 757, 8695, 16, 374, 726, 282, 5572, 38529, 20420, 14452, 30308, 22735, 11272, 14440, 15129, 16, 289, 4378, 13440, 282, 20336, 9388, 306, 975, 10412, 49175, 282, 3178, 6566, 3139, 5, 27252, 320, 742, 329, 640, 2077, 274, 685, 16, 2091, 16, 20168, 18, 22263, 6147, 6260, 7375, 1458, 8599, 24554, 300, 2159, 3499, 282, 5901, 14922, 22122, 507, 309, 33146, 1555, 608, 406, 7839, 280, 913, 18, 3026, 505, 10133, 4183, 16883, 1279, 15836, 431, 1651, 2446, 1789, 306, 39665, 282, 7343, 11035, 2287, 3139, 289, 1061, 1879, 16, 11532, 1309, 309, 1421, 2299, 16, 367, 6127, 1742, 2948, 25193, 281, 871, 651, 5953, 30, 12743, 519, 4319, 1326, 2799, 3519, 1125, 10574, 20823, 18, 15517, 16, 726, 2504, 322, 20882, 16, 374, 567, 7422, 38529, 7375, 1458, 1655, 19153, 25469, 18, 824, 8954, 21840, 329, 406, 7839, 7357, 680, 6707, 22793, 639, 17434, 289, 1293, 11529, 2169, 18, 7375, 1458, 2581, 811, 32627, 31532, 4887, 16, 5859, 288, 14221, 309, 12060, 12188, 37718, 15513, 18308, 36291, 459, 418, 2776, 1388, 4254, 16, 367, 1038, 17083, 1757, 14978, 33039, 616, 432, 14010, 3536, 289, 12994, 18, 5749, 446, 24723, 16, 785, 10133, 11532, 607, 1812, 309, 2852, 4601, 291, 16, 367, 9258, 1815, 20366, 281, 2733, 12932, 18, 27289, 19991, 628, 7375, 7671, 16, 6591, 2024, 1939, 26, 699, 16, 1623, 3521, 23763, 4674, 413, 18, 1787, 4569, 1869, 16, 7089, 16, 505, 26216, 23817, 282, 4531, 285, 281, 29247, 758, 48618, 1082, 4011, 44995, 307, 608, 1428, 670, 18914, 345, 6452, 6339, 17, 563, 1191, 267, 18, 2681, 1696, 309, 12095, 464, 16, 581, 764, 1279, 640, 2077, 274, 3521, 668, 4674, 1616, 15072, 19991, 628, 6532, 2955, 18, 12027, 1085, 19944, 16, 374, 30308, 939, 2156, 2657, 341, 14008, 49717, 309, 21191, 289, 26236, 294, 8459, 11529, 4304, 309, 803, 3884, 2376, 18, 365, 5572, 281, 781, 281, 25193, 316, 1532, 273, 17, 10738, 268, 354, 10105, 433, 10587, 4693, 35453, 4674, 1616, 282, 48123, 14010, 482, 18, 16662, 11576, 16, 753, 20850, 15958, 18, 43929, 315, 8814, 1577, 2780, 289, 2992, 4601, 16, 1833, 575, 20318, 316, 1532, 273, 18, 4541, 281, 2086, 32502, 2438, 2013, 11858, 374, 17, 299, 46768, 18, 817, 1559, 15414, 506, 16, 322, 14366, 505, 35517, 451, 381, 833, 5171, 5335, 16, 289, 1743, 21583, 17536, 616, 536, 14010, 4019, 309, 1360, 48728, 18, 1665, 16, 367, 1122, 1588, 7375, 1458, 519, 3298, 17, 296, 1532, 343, 23752, 905, 16, 988, 505, 41408, 4674, 413, 2756, 15413, 1116, 19991, 628, 18, 365, 14515, 4623, 5826, 21755, 11623, 21918, 1617, 17696, 16, 367, 309, 3298, 17, 296, 1532, 582, 1858, 7375, 1458, 40393, 39533, 8462, 18, 365, 6606, 2221, 1212, 8995, 7747, 435, 29511, 2206, 18, 10105, 433, 15464, 1595, 9147, 1161, 10133, 309, 478, 730, 303, 363, 5409, 648, 910, 289, 764, 537, 7633, 329, 1047, 1743, 322, 4388, 857, 519, 25193, 281, 871, 18, 8079, 475, 20372, 282, 33762, 35, 7375, 1458, 272, 475, 575, 322, 11576, 1333, 18, 7937, 377, 3248, 34983, 6640, 282, 970, 16, 374, 309, 1169, 764, 1513, 939, 1269, 5474, 4694, 18, 9689, 278, 919, 282, 33762, 281, 781, 322, 7820, 18, 22263, 6147, 3404, 1912, 6327, 4610, 1378, 15406, 16, 367, 8814, 1577, 16, 428, 289, 48565, 4056, 8187, 582, 2422, 16, 537, 2059, 18, 8071, 316, 1532, 343, 16, 5891, 4436, 640, 2077, 339, 1624, 8526, 4030, 505, 16432, 282, 803, 281, 781, 289, 15831, 282, 8267, 18, 365, 9258, 11100, 16, 37561, 16, 281, 781, 7375, 1458, 726, 322, 2185, 14240, 349, 867, 3258, 16, 23831, 536, 7739, 2409, 18, 640, 2077, 306, 11576, 2236, 316, 1532, 343, 16, 753, 20533, 2019, 567, 2992, 3098, 18, 1665, 16, 322, 6281, 575, 309, 12095, 464, 22839, 14010, 3536, 5, 4802, 6822, 7739, 2409, 4056, 8187, 382, 2422, 4040, 505, 19753, 27869, 378, 2851, 435, 1236, 554, 11516, 18, 478, 33982, 1458, 4167, 39779, 14352, 2037, 16, 376, 7332, 1694, 4056, 8187, 382, 2422, 12117, 4788, 14452, 18, 651, 2320, 4674, 413, 13000, 28492, 16, 581, 289, 309, 21222, 5625, 6260, 24935, 18397, 18, 34165, 20975, 14709, 2854, 334, 1874, 1918, 16, 13521, 7387, 519, 8508, 14010, 429, 18, 29553, 1634, 25467, 16, 961, 18187, 784, 26946, 1177, 25019, 6380, 650, 5229, 10133, 861, 1012, 1114, 567, 2992, 3098, 289, 24016, 385, 1996, 12560, 16, 8970, 1055, 48618, 16, 5474, 2254, 1779, 640, 2077, 274, 309, 26908, 1212, 12095, 464, 18, 40519, 10070, 2022, 2846, 281, 871, 16, 753, 46909, 972, 46655, 25890, 1410, 444, 8860, 2334, 8474, 4807, 853, 411, 2145, 18, 1012, 18047, 411, 7811, 726, 282, 5572, 38529, 47143, 6370, 5154, 1508, 609, 18, 640, 3437, 1071, 1505, 12496, 382, 411, 4256, 4601, 291, 329, 4039, 17, 11884, 14571, 7876, 16, 27619, 11581, 3571, 12915, 16, 1333, 726, 322, 7696, 18, 1591, 2992, 3098, 4223, 505, 42262, 19919, 28836, 321, 403, 36828, 1919, 29102, 1265, 18, 25017, 4623, 13521, 7387, 309, 22428, 16, 367, 2845, 516, 29102, 1265, 17060, 282, 3441, 25204, 454, 16, 47579, 5154 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 575, 282, 1078, 46780, 869, 7863, 3670, 16, 374, 12497, 2722, 8649, 26594, 1187, 10981, 895, 45234, 6564, 309, 40819, 1078, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5572, 38529, 478, 730, 303, 363, 5409, 648, 17, 13733, 470, 7732, 8187, 343, 14452, 30308, 5888, 10105, 433, 29453, 6228, 3860, 282, 8267, 281, 50035, 7375, 1458, 304, 411, 2145, 18, 14155, 282, 24087, 8814, 1159, 541, 9764, 309, 26908, 1212, 12095, 464, 25124, 2852, 4601, 291, 18, 31224, 30, 471, 22857, 363, 5409, 648, 26942, 9117, 7788, 1215, 15108, 30308, 22735, 640, 2077, 274, 18, 23710, 306, 345, 13850, 309, 12095, 37044, 478, 35485, 304, 16113, 263, 470, 282, 6982, 1045, 16, 8814, 1577, 26869, 300, 2846, 779, 9410, 16, 367, 23912, 16607, 30956, 282, 6104, 11258, 18, 365, 9871, 440, 546, 2086, 5619, 15880, 13270, 282, 33762, 38529, 478, 730, 303, 363, 5409, 648, 17, 18003, 470, 360, 588, 546, 347, 6140, 884, 385, 1996, 37399, 16, 349, 2486, 685, 8170, 5807, 4523, 449, 1736, 301, 282, 33146, 1555, 23376, 18, 459, 537, 7633, 640, 2077, 306, 322, 6898, 6281, 309, 478, 730, 303, 363, 5409, 648, 470, 4256, 14860, 1505, 26070, 18, 3647, 385, 1996, 1452, 877, 1272, 779, 2158, 492, 25469, 282, 6566, 281, 13021, 18, 3492, 373, 757, 8695, 16, 374, 726, 282, 5572, 38529, 20420, 14452, 30308, 22735, 11272, 14440, 15129, 16, 289, 4378, 13440, 282, 20336, 9388, 306, 975, 10412, 49175, 282, 3178, 6566, 3139, 5, 27252, 320, 742, 329, 640, 2077, 274, 685, 16, 2091, 16, 20168, 18, 22263, 6147, 6260, 7375, 1458, 8599, 24554, 300, 2159, 3499, 282, 5901, 14922, 22122, 507, 309, 33146, 1555, 608, 406, 7839, 280, 913, 18, 3026, 505, 10133, 4183, 16883, 1279, 15836, 431, 1651, 2446, 1789, 306, 39665, 282, 7343, 11035, 2287, 3139, 289, 1061, 1879, 16, 11532, 1309, 309, 1421, 2299, 16, 367, 6127, 1742, 2948, 25193, 281, 871, 651, 5953, 30, 12743, 519, 4319, 1326, 2799, 3519, 1125, 10574, 20823, 18, 15517, 16, 726, 2504, 322, 20882, 16, 374, 567, 7422, 38529, 7375, 1458, 1655, 19153, 25469, 18, 824, 8954, 21840, 329, 406, 7839, 7357, 680, 6707, 22793, 639, 17434, 289, 1293, 11529, 2169, 18, 7375, 1458, 2581, 811, 32627, 31532, 4887, 16, 5859, 288, 14221, 309, 12060, 12188, 37718, 15513, 18308, 36291, 459, 418, 2776, 1388, 4254, 16, 367, 1038, 17083, 1757, 14978, 33039, 616, 432, 14010, 3536, 289, 12994, 18, 5749, 446, 24723, 16, 785, 10133, 11532, 607, 1812, 309, 2852, 4601, 291, 16, 367, 9258, 1815, 20366, 281, 2733, 12932, 18, 27289, 19991, 628, 7375, 7671, 16, 6591, 2024, 1939, 26, 699, 16, 1623, 3521, 23763, 4674, 413, 18, 1787, 4569, 1869, 16, 7089, 16, 505, 26216, 23817, 282, 4531, 285, 281, 29247, 758, 48618, 1082, 4011, 44995, 307, 608, 1428, 670, 18914, 345, 6452, 6339, 17, 563, 1191, 267, 18, 2681, 1696, 309, 12095, 464, 16, 581, 764, 1279, 640, 2077, 274, 3521, 668, 4674, 1616, 15072, 19991, 628, 6532, 2955, 18, 12027, 1085, 19944, 16, 374, 30308, 939, 2156, 2657, 341, 14008, 49717, 309, 21191, 289, 26236, 294, 8459, 11529, 4304, 309, 803, 3884, 2376, 18, 365, 5572, 281, 781, 281, 25193, 316, 1532, 273, 17, 10738, 268, 354, 10105, 433, 10587, 4693, 35453, 4674, 1616, 282, 48123, 14010, 482, 18, 16662, 11576, 16, 753, 20850, 15958, 18, 43929, 315, 8814, 1577, 2780, 289, 2992, 4601, 16, 1833, 575, 20318, 316, 1532, 273, 18, 4541, 281, 2086, 32502, 2438, 2013, 11858, 374, 17, 299, 46768, 18, 817, 1559, 15414, 506, 16, 322, 14366, 505, 35517, 451, 381, 833, 5171, 5335, 16, 289, 1743, 21583, 17536, 616, 536, 14010, 4019, 309, 1360, 48728, 18, 1665, 16, 367, 1122, 1588, 7375, 1458, 519, 3298, 17, 296, 1532, 343, 23752, 905, 16, 988, 505, 41408, 4674, 413, 2756, 15413, 1116, 19991, 628, 18, 365, 14515, 4623, 5826, 21755, 11623, 21918, 1617, 17696, 16, 367, 309, 3298, 17, 296, 1532, 582, 1858, 7375, 1458, 40393, 39533, 8462, 18, 365, 6606, 2221, 1212, 8995, 7747, 435, 29511, 2206, 18, 10105, 433, 15464, 1595, 9147, 1161, 10133, 309, 478, 730, 303, 363, 5409, 648, 910, 289, 764, 537, 7633, 329, 1047, 1743, 322, 4388, 857, 519, 25193, 281, 871, 18, 8079, 475, 20372, 282, 33762, 35, 7375, 1458, 272, 475, 575, 322, 11576, 1333, 18, 7937, 377, 3248, 34983, 6640, 282, 970, 16, 374, 309, 1169, 764, 1513, 939, 1269, 5474, 4694, 18, 9689, 278, 919, 282, 33762, 281, 781, 322, 7820, 18, 22263, 6147, 3404, 1912, 6327, 4610, 1378, 15406, 16, 367, 8814, 1577, 16, 428, 289, 48565, 4056, 8187, 582, 2422, 16, 537, 2059, 18, 8071, 316, 1532, 343, 16, 5891, 4436, 640, 2077, 339, 1624, 8526, 4030, 505, 16432, 282, 803, 281, 781, 289, 15831, 282, 8267, 18, 365, 9258, 11100, 16, 37561, 16, 281, 781, 7375, 1458, 726, 322, 2185, 14240, 349, 867, 3258, 16, 23831, 536, 7739, 2409, 18, 640, 2077, 306, 11576, 2236, 316, 1532, 343, 16, 753, 20533, 2019, 567, 2992, 3098, 18, 1665, 16, 322, 6281, 575, 309, 12095, 464, 22839, 14010, 3536, 5, 4802, 6822, 7739, 2409, 4056, 8187, 382, 2422, 4040, 505, 19753, 27869, 378, 2851, 435, 1236, 554, 11516, 18, 478, 33982, 1458, 4167, 39779, 14352, 2037, 16, 376, 7332, 1694, 4056, 8187, 382, 2422, 12117, 4788, 14452, 18, 651, 2320, 4674, 413, 13000, 28492, 16, 581, 289, 309, 21222, 5625, 6260, 24935, 18397, 18, 34165, 20975, 14709, 2854, 334, 1874, 1918, 16, 13521, 7387, 519, 8508, 14010, 429, 18, 29553, 1634, 25467, 16, 961, 18187, 784, 26946, 1177, 25019, 6380, 650, 5229, 10133, 861, 1012, 1114, 567, 2992, 3098, 289, 24016, 385, 1996, 12560, 16, 8970, 1055, 48618, 16, 5474, 2254, 1779, 640, 2077, 274, 309, 26908, 1212, 12095, 464, 18, 40519, 10070, 2022, 2846, 281, 871, 16, 753, 46909, 972, 46655, 25890, 1410, 444, 8860, 2334, 8474, 4807, 853, 411, 2145, 18, 1012, 18047, 411, 7811, 726, 282, 5572, 38529, 47143, 6370, 5154, 1508, 609, 18, 640, 3437, 1071, 1505, 12496, 382, 411, 4256, 4601, 291, 329, 4039, 17, 11884, 14571, 7876, 16, 27619, 11581, 3571, 12915, 16, 1333, 726, 322, 7696, 18, 1591, 2992, 3098, 4223, 505, 42262, 19919, 28836, 321, 403, 36828, 1919, 29102, 1265, 18, 25017, 4623, 13521, 7387, 309, 22428, 16, 367, 2845, 516, 29102, 1265, 17060, 282, 3441, 25204, 454, 16, 47579, 5154 ]
[ 1508, 28499, 1223, 1176, 30134, 18, 385, 2271, 1378, 2566, 4732, 11815, 309, 478, 730, 303, 363, 5409, 648, 470, 10546, 289, 48835, 8187, 382, 21618, 14452, 18, 14873, 12180, 343, 18801, 10051, 295, 1318, 267, 8423, 4605, 1195, 41446, 680, 17382, 14325, 629, 2306, 1161, 1624, 367, 22216, 27538, 24009, 19121, 555, 38912, 9668, 15226, 272, 411, 26947, 18, 11333, 7036, 942, 5298, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 1822, 38306, 14886, 411, 4534, 3619, 9700, 309, 25388, 18, 39947, 2087, 42397, 1192, 20149, 4254, 7221, 530, 30166, 31678, 4713, 282, 21520, 20169, 286, 1880, 18, 6630, 17220, 1503, 39670, 320, 12845, 47376, 541, 1634, 7868, 18, 365, 18351, 547, 17229, 1698, 5134, 3455, 15099, 30166, 31678, 18, 740, 5251, 2837, 3003, 5702, 349, 27402, 30012, 18, 31224, 30, 672, 1822, 38306, 14886, 309, 9482, 478, 16875, 4534, 470, 3619, 6575, 4314, 2678, 541, 25067, 18, 365, 10666, 25835, 4534, 4210, 5452, 29845, 14900, 12735, 477, 4212, 33415, 16, 49209, 281, 12797, 2610, 14153, 304, 1192, 20149, 27635, 16, 290, 18124, 4543, 282, 18213, 2001, 29210, 15802, 282, 6438, 1212, 3948, 10143, 1767, 18, 25017, 12480, 16, 23948, 282, 3948, 11774, 13854, 20169, 286, 1880, 17528, 430, 16, 26, 3763, 9608, 18, 4995, 16, 430, 16, 7751, 3763, 9608, 18, 4995, 16, 19779, 4500, 18, 9608, 18, 4995, 289, 4055, 4500, 18, 9608, 18, 4995, 31678, 3012, 3461, 2241, 478, 11636, 45350, 358, 1485, 266, 910, 478, 16563, 659, 470, 289, 478, 6889, 2975, 17, 1009, 9861, 861, 21779, 8417, 4442, 1734, 2923, 14481, 2364, 2555, 26, 2355, 18, 824, 30010, 416, 3352, 16, 12816, 12272, 1192, 20149, 4254, 38060, 17665, 1033, 10367, 2355, 18, 21779, 8417, 13854, 20169, 286, 1880, 4896, 1033, 21613, 3763, 9608, 18, 308, 18, 289, 3164, 282, 20541, 2095, 3568, 5933, 2449, 718, 25555, 8747, 18, 824, 2923, 13854, 7312, 9659, 33546, 718, 11427, 18, 640, 9839, 17, 17569, 2650, 13216, 759, 281, 1583, 1305, 25965, 1414, 418, 1624, 309, 14656, 289, 9265, 17, 17569, 510, 281, 1614, 13402, 289, 5451, 536, 22277, 615, 16, 309, 9265, 17, 31829, 510, 281, 4555, 979, 29604, 286, 1880, 16, 309, 23000, 510, 281, 4555, 979, 7399, 2810, 523, 1880, 16, 9839, 17, 31829, 510, 281, 4555, 979, 4763, 1880, 16, 309, 15934, 510, 281, 4555, 979, 21021, 269, 25149, 18, 640, 2923, 20169, 18190, 13854, 478, 11636, 45350, 358, 1485, 266, 470, 7243, 1788, 4871, 478, 618, 37923, 861, 824, 3761, 2241, 16, 282, 19473, 726, 5816, 1569, 2364, 30481, 4500, 18, 9608, 18, 308, 12712, 473, 21, 289, 491, 17, 525, 10684, 15628, 478, 684, 1353, 3090, 439, 37923, 12235, 282, 2695, 547, 14885, 6535, 10367, 4500, 18, 34082, 18, 308, 473, 23, 17, 274, 3678, 15628, 478, 684, 1353, 3090, 439, 37923, 910, 430, 17, 289, 491, 17, 525, 10684, 15628, 478, 16226, 439, 37923, 910, 12445, 2664, 1543, 1152, 890, 16748, 478, 684, 1368, 7474, 470, 289, 478, 677, 1699, 339, 1880, 11523, 9873, 6997, 6582, 25484, 1886, 13961, 8752, 17213, 30, 23378, 1157, 16, 17513, 32283, 16, 5308, 18, 365, 15628, 478, 684, 1353, 3090, 439, 37923, 470, 15057, 5310, 309, 1281, 25, 1801, 726, 19016, 18, 1591, 12241, 7190, 1192, 20149, 4254, 23051, 16, 374, 9835, 478, 16563, 659, 470, 289, 478, 6889, 2975, 17, 1009, 9861, 470, 14736, 318, 281, 14120, 478, 11636, 45350, 358, 1485, 266, 861, 365, 9937, 282, 2241, 1038, 16170, 16, 374, 5809, 10376, 7800, 27415, 15230, 1576, 4436, 4419, 12917, 334, 4473, 12867, 33546, 718, 11427, 16, 25005, 3741, 48347, 18530, 368, 16, 28705, 20079, 9743, 18, 478, 11162, 574, 2696, 20981, 16, 13649, 16, 4040, 28364, 7019, 20268, 22258, 10474, 343, 289, 840, 24800, 16, 3229, 1223, 16, 15248, 7898, 1801, 289, 10268, 26594, 17213, 376, 28705, 5625, 9743, 16, 4473, 12867, 5520, 18, 7720, 673, 343, 12712, 1336, 4040, 764, 1033, 42057, 18, 439, 656, 16, 477, 1963, 19385, 7336, 16, 2341, 8563, 5303, 3025, 24128, 10266, 9381, 282, 3321, 1161, 39794, 30, 1073, 3334, 2161, 4868, 16, 3140, 1134, 16, 23378, 3317, 16, 6614, 2535, 18, 889, 840, 6917, 9240, 695, 22858, 12866, 11711, 14630, 5791, 16, 360, 1660, 7499, 305, 428, 28380, 16, 453, 289, 19385, 4961, 470, 376, 5692, 18117, 405, 6258, 18532, 16, 18165, 6187, 478, 11636, 45350, 625, 1485, 266, 861, 4756, 7897, 16, 29381, 294, 23318, 16, 3153, 1717, 290, 1574, 22010, 44269, 12829, 416, 10376, 7800, 16, 2382, 2636, 14125, 15154, 541, 1192, 20149, 4254, 28415, 979, 39033, 17213, 18, 478, 13931, 15700, 15802, 282, 38171, 5482, 17650, 294, 1482, 14073, 23255, 8990, 1503, 39670, 40616, 9206, 1192, 20149, 4254, 282, 803, 3948, 910, 510, 3973, 26363, 18, 824, 3163, 14840, 14392, 4183, 18065, 11050, 5439, 18083, 14708, 937, 401, 16, 37326, 6911, 12520, 15861, 5936, 334, 590, 18321, 25215, 6431, 7233, 2891, 309, 9482, 478, 16875, 4534, 861, 12657, 411, 10235, 8468, 4183, 9541, 17, 293, 30557, 510, 12846, 18942, 38306, 749, 6226, 4076, 15046, 10059, 18, 478, 26846, 1076, 290, 5936, 15429, 9759, 13597, 309, 2923, 478, 16875, 4534, 470, 14127, 21935, 910, 510, 23051, 5854, 14708, 937, 401, 18, 11101, 16, 29381, 294, 7517, 7715, 282, 21989, 16, 1038, 12698, 16, 374, 3586, 290, 45289, 38306, 289, 9802, 4076, 16, 1029, 12350, 10070, 1938, 16, 764, 322, 1142, 1007, 18, 478, 4182, 687, 4770, 7622, 2640, 4871, 16, 840, 9258, 506, 16, 2710, 11413, 282, 4698, 3678, 1747, 590, 18282, 18, 832, 5285, 928, 289, 18351, 451, 4871, 910, 510, 26698, 492, 18, 46230, 6997, 20165, 8225, 43935, 18942, 424, 21784, 1141, 17600, 6647, 4486, 26235, 12424, 16, 2548, 7897, 289, 24344, 18974, 15046, 1503, 39670, 44452, 44549, 18, 4900, 30080, 44243, 22382, 6363, 5674, 14508, 5273, 16, 374, 309, 5572, 10649, 4162, 17085, 16, 30500, 309, 34973, 14886, 309, 9482, 20268, 20169, 286, 1880, 16, 895, 6245, 3633, 4843, 2479, 5096, 18, 478, 4580, 2074, 553, 16, 9980, 309, 7955, 25555, 6359, 14872, 360, 4843, 22, 2634, 349, 42214, 24291, 16, 510, 5095, 14760, 9216, 6660, 10874, 769, 14320, 3335, 10, 59, 5518, 17319, 10121, 47689, 18, 510, 740, 309, 24258, 16, 961, 12350, 349, 36038, 16, 2141, 1003, 4700, 17, 3697, 21257, 289, 17213, 861, 824, 35854, 395, 23888, 3583, 16, 11506, 17213, 895, 16122, 2364, 4317, 9, 5251, 1809, 8990, 5115 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1508, 28499, 1223, 1176, 30134, 18, 385, 2271, 1378, 2566, 4732, 11815, 309, 478, 730, 303, 363, 5409, 648, 470, 10546, 289, 48835, 8187, 382, 21618, 14452, 18, 14873, 12180, 343, 18801, 10051, 295, 1318, 267, 8423, 4605, 1195, 41446, 680, 17382, 14325, 629, 2306, 1161, 1624, 367, 22216, 27538, 24009, 19121, 555, 38912, 9668, 15226, 272, 411, 26947, 18, 11333, 7036, 942, 5298, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 1822, 38306, 14886, 411, 4534, 3619, 9700, 309, 25388, 18, 39947, 2087, 42397, 1192, 20149, 4254, 7221, 530, 30166, 31678, 4713, 282, 21520, 20169, 286, 1880, 18, 6630, 17220, 1503, 39670, 320, 12845, 47376, 541, 1634, 7868, 18, 365, 18351, 547, 17229, 1698, 5134, 3455, 15099, 30166, 31678, 18, 740, 5251, 2837, 3003, 5702, 349, 27402, 30012, 18, 31224, 30, 672, 1822, 38306, 14886, 309, 9482, 478, 16875, 4534, 470, 3619, 6575, 4314, 2678, 541, 25067, 18, 365, 10666, 25835, 4534, 4210, 5452, 29845, 14900, 12735, 477, 4212, 33415, 16, 49209, 281, 12797, 2610, 14153, 304, 1192, 20149, 27635, 16, 290, 18124, 4543, 282, 18213, 2001, 29210, 15802, 282, 6438, 1212, 3948, 10143, 1767, 18, 25017, 12480, 16, 23948, 282, 3948, 11774, 13854, 20169, 286, 1880, 17528, 430, 16, 26, 3763, 9608, 18, 4995, 16, 430, 16, 7751, 3763, 9608, 18, 4995, 16, 19779, 4500, 18, 9608, 18, 4995, 289, 4055, 4500, 18, 9608, 18, 4995, 31678, 3012, 3461, 2241, 478, 11636, 45350, 358, 1485, 266, 910, 478, 16563, 659, 470, 289, 478, 6889, 2975, 17, 1009, 9861, 861, 21779, 8417, 4442, 1734, 2923, 14481, 2364, 2555, 26, 2355, 18, 824, 30010, 416, 3352, 16, 12816, 12272, 1192, 20149, 4254, 38060, 17665, 1033, 10367, 2355, 18, 21779, 8417, 13854, 20169, 286, 1880, 4896, 1033, 21613, 3763, 9608, 18, 308, 18, 289, 3164, 282, 20541, 2095, 3568, 5933, 2449, 718, 25555, 8747, 18, 824, 2923, 13854, 7312, 9659, 33546, 718, 11427, 18, 640, 9839, 17, 17569, 2650, 13216, 759, 281, 1583, 1305, 25965, 1414, 418, 1624, 309, 14656, 289, 9265, 17, 17569, 510, 281, 1614, 13402, 289, 5451, 536, 22277, 615, 16, 309, 9265, 17, 31829, 510, 281, 4555, 979, 29604, 286, 1880, 16, 309, 23000, 510, 281, 4555, 979, 7399, 2810, 523, 1880, 16, 9839, 17, 31829, 510, 281, 4555, 979, 4763, 1880, 16, 309, 15934, 510, 281, 4555, 979, 21021, 269, 25149, 18, 640, 2923, 20169, 18190, 13854, 478, 11636, 45350, 358, 1485, 266, 470, 7243, 1788, 4871, 478, 618, 37923, 861, 824, 3761, 2241, 16, 282, 19473, 726, 5816, 1569, 2364, 30481, 4500, 18, 9608, 18, 308, 12712, 473, 21, 289, 491, 17, 525, 10684, 15628, 478, 684, 1353, 3090, 439, 37923, 12235, 282, 2695, 547, 14885, 6535, 10367, 4500, 18, 34082, 18, 308, 473, 23, 17, 274, 3678, 15628, 478, 684, 1353, 3090, 439, 37923, 910, 430, 17, 289, 491, 17, 525, 10684, 15628, 478, 16226, 439, 37923, 910, 12445, 2664, 1543, 1152, 890, 16748, 478, 684, 1368, 7474, 470, 289, 478, 677, 1699, 339, 1880, 11523, 9873, 6997, 6582, 25484, 1886, 13961, 8752, 17213, 30, 23378, 1157, 16, 17513, 32283, 16, 5308, 18, 365, 15628, 478, 684, 1353, 3090, 439, 37923, 470, 15057, 5310, 309, 1281, 25, 1801, 726, 19016, 18, 1591, 12241, 7190, 1192, 20149, 4254, 23051, 16, 374, 9835, 478, 16563, 659, 470, 289, 478, 6889, 2975, 17, 1009, 9861, 470, 14736, 318, 281, 14120, 478, 11636, 45350, 358, 1485, 266, 861, 365, 9937, 282, 2241, 1038, 16170, 16, 374, 5809, 10376, 7800, 27415, 15230, 1576, 4436, 4419, 12917, 334, 4473, 12867, 33546, 718, 11427, 16, 25005, 3741, 48347, 18530, 368, 16, 28705, 20079, 9743, 18, 478, 11162, 574, 2696, 20981, 16, 13649, 16, 4040, 28364, 7019, 20268, 22258, 10474, 343, 289, 840, 24800, 16, 3229, 1223, 16, 15248, 7898, 1801, 289, 10268, 26594, 17213, 376, 28705, 5625, 9743, 16, 4473, 12867, 5520, 18, 7720, 673, 343, 12712, 1336, 4040, 764, 1033, 42057, 18, 439, 656, 16, 477, 1963, 19385, 7336, 16, 2341, 8563, 5303, 3025, 24128, 10266, 9381, 282, 3321, 1161, 39794, 30, 1073, 3334, 2161, 4868, 16, 3140, 1134, 16, 23378, 3317, 16, 6614, 2535, 18, 889, 840, 6917, 9240, 695, 22858, 12866, 11711, 14630, 5791, 16, 360, 1660, 7499, 305, 428, 28380, 16, 453, 289, 19385, 4961, 470, 376, 5692, 18117, 405, 6258, 18532, 16, 18165, 6187, 478, 11636, 45350, 625, 1485, 266, 861, 4756, 7897, 16, 29381, 294, 23318, 16, 3153, 1717, 290, 1574, 22010, 44269, 12829, 416, 10376, 7800, 16, 2382, 2636, 14125, 15154, 541, 1192, 20149, 4254, 28415, 979, 39033, 17213, 18, 478, 13931, 15700, 15802, 282, 38171, 5482, 17650, 294, 1482, 14073, 23255, 8990, 1503, 39670, 40616, 9206, 1192, 20149, 4254, 282, 803, 3948, 910, 510, 3973, 26363, 18, 824, 3163, 14840, 14392, 4183, 18065, 11050, 5439, 18083, 14708, 937, 401, 16, 37326, 6911, 12520, 15861, 5936, 334, 590, 18321, 25215, 6431, 7233, 2891, 309, 9482, 478, 16875, 4534, 861, 12657, 411, 10235, 8468, 4183, 9541, 17, 293, 30557, 510, 12846, 18942, 38306, 749, 6226, 4076, 15046, 10059, 18, 478, 26846, 1076, 290, 5936, 15429, 9759, 13597, 309, 2923, 478, 16875, 4534, 470, 14127, 21935, 910, 510, 23051, 5854, 14708, 937, 401, 18, 11101, 16, 29381, 294, 7517, 7715, 282, 21989, 16, 1038, 12698, 16, 374, 3586, 290, 45289, 38306, 289, 9802, 4076, 16, 1029, 12350, 10070, 1938, 16, 764, 322, 1142, 1007, 18, 478, 4182, 687, 4770, 7622, 2640, 4871, 16, 840, 9258, 506, 16, 2710, 11413, 282, 4698, 3678, 1747, 590, 18282, 18, 832, 5285, 928, 289, 18351, 451, 4871, 910, 510, 26698, 492, 18, 46230, 6997, 20165, 8225, 43935, 18942, 424, 21784, 1141, 17600, 6647, 4486, 26235, 12424, 16, 2548, 7897, 289, 24344, 18974, 15046, 1503, 39670, 44452, 44549, 18, 4900, 30080, 44243, 22382, 6363, 5674, 14508, 5273, 16, 374, 309, 5572, 10649, 4162, 17085, 16, 30500, 309, 34973, 14886, 309, 9482, 20268, 20169, 286, 1880, 16, 895, 6245, 3633, 4843, 2479, 5096, 18, 478, 4580, 2074, 553, 16, 9980, 309, 7955, 25555, 6359, 14872, 360, 4843, 22, 2634, 349, 42214, 24291, 16, 510, 5095, 14760, 9216, 6660, 10874, 769, 14320, 3335, 10, 59, 5518, 17319, 10121, 47689, 18, 510, 740, 309, 24258, 16, 961, 12350, 349, 36038, 16, 2141, 1003, 4700, 17, 3697, 21257, 289, 17213, 861, 824, 35854, 395, 23888, 3583, 16, 11506, 17213, 895, 16122, 2364, 4317, 9, 5251, 1809, 8990, 5115 ]
[ 18, 26552, 6405, 4245, 14886, 349, 37061, 9914, 50066, 9441, 14457, 18, 365, 12335, 4440, 779, 16640, 16, 2412, 1779, 282, 502, 808, 3059, 4830, 16, 25960, 6348, 8369, 334, 1188, 34475, 1214, 553, 9759, 6431, 2891, 309, 9482, 16, 12215, 12414, 516, 294, 3507, 18, 19971, 20165, 7955, 12760, 718, 5500, 541, 6897, 22941, 289, 16934, 18, 3782, 2064, 12731, 1390, 289, 541, 25215, 6431, 27898, 2891, 16, 367, 1038, 35097, 2087, 289, 35832, 416, 16040, 18, 15059, 1225, 862, 16, 374, 349, 2872, 1698, 37541, 289, 19516, 18164, 5439, 18, 365, 16571, 19631, 38306, 14886, 13694, 3455, 29197, 755, 6143, 22026, 20454, 5500, 282, 3507, 3720, 38680, 5101, 1624, 5780, 14182, 4490, 13156, 282, 11872, 4018, 779, 18, 31868, 2357, 4090, 25555, 5500, 30751, 282, 970, 2875, 309, 46462, 1192, 301, 18532, 272, 30174, 9798, 720, 23133, 478, 7530, 597, 10474, 343, 910, 3153, 282, 11366, 4018, 779, 7897, 282, 21989, 18, 21636, 1821, 3050, 19024, 38306, 6245, 14710, 4843, 2479, 5096, 18, 12140, 17600, 6647, 4851, 49402, 6359, 19516, 4609, 1166, 282, 4843, 3114, 5096, 18, 740, 282, 3998, 4160, 4770, 4137, 6732, 25960, 519, 8807, 25541, 18942, 5115, 282, 2630, 281, 1158, 758, 7339, 3746, 282, 7433, 23563, 18942, 18, 365, 2343, 924, 575, 5196, 41945, 15885, 11811, 15350, 25541, 18942, 38306, 6431, 7233, 2891, 309, 9482, 478, 16875, 4534, 861, 824, 22623, 11413, 16, 7462, 649, 14886, 840, 15719, 549, 7296, 3308, 1230, 1212, 5581, 282, 5492, 24814, 29186, 434, 5054, 16, 2588, 7064, 46703, 6874, 424, 1177, 4871, 18, 16424, 18666, 519, 3915, 4018, 779, 3730, 6406, 14033, 5003, 282, 9802, 6957, 5096, 2791, 329, 836, 332, 5781, 289, 7796, 6802, 16, 4848, 1655, 9128, 9362, 6365, 4210, 37962, 19751, 18, 824, 505, 3163, 16, 3455, 4000, 282, 3131, 962, 10348, 9104, 9670, 895, 953, 2619, 3417, 5999, 365, 19938, 1747, 38908, 49402, 6359, 16, 49032, 5800, 282, 7433, 38306, 14886, 289, 16743, 424, 2872, 16, 424, 481, 12846, 41945, 15069, 26200, 27594, 18, 31440, 19024, 15861, 42779, 5115, 6997, 26235, 12424, 541, 590, 6282, 1587, 14886, 4896, 22651, 5096, 2791, 281, 9752, 6309, 360, 21265, 16934, 16, 6897, 22941, 16, 33263, 36193, 289, 13509, 18, 21683, 16, 764, 519, 924, 16, 428, 4770, 25960, 519, 8807, 25541, 18942, 16, 25545, 4651, 26363, 282, 32094, 10799, 16, 374, 1827, 1148, 353, 12430, 435, 34973, 25215, 8383, 366, 289, 36193, 349, 37061, 2410, 29672, 5368, 25289, 18, 365, 32403, 4577, 4128, 16769, 12340, 3333, 5600, 21932, 4995, 8185, 432, 289, 17374, 43413, 16, 4437, 4165, 492, 18, 365, 502, 808, 428, 281, 8236, 323, 13739, 6359, 16, 961, 11413, 21860, 282, 3507, 16, 840, 25019, 411, 17, 431, 697, 12634, 382, 18, 11101, 41750, 289, 309, 14601, 668, 10784, 30, 7006, 520, 19516, 38021, 7146, 1617, 7428, 282, 16445, 5281, 12937, 4534, 510, 3848, 16, 12839, 487, 19108, 309, 2768, 349, 37061, 18, 5333, 2175, 16, 11033, 360, 1196, 368, 322, 9040, 18, 18154, 7897, 567, 12241, 322, 3947, 364, 16, 374, 282, 4301, 18653, 5084, 38306, 14886, 28648, 18351, 451, 4871, 18, 817, 322, 8566, 5606, 16249, 309, 34973, 18, 11101, 282, 36798, 21989, 2548, 16, 374, 3010, 38306, 510, 478, 7944, 3229, 1223, 3003, 25215, 11944, 910, 515, 11043, 1183, 9013, 13079, 2678, 22207, 282, 478, 609, 516, 7522, 470, 2095, 18911, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 21412, 289, 7063, 6727, 353, 49840, 266, 321, 5915, 3217, 13212, 16, 1586, 4434, 2582, 7179, 3714, 16275, 11088, 15637, 962, 342, 282, 7730, 763, 21912, 512, 16, 282, 3198, 1660, 2222, 16684, 2846, 779, 17288, 434, 12851, 18, 14766, 5698, 332, 14326, 26369, 18, 31224, 30, 3161, 3612, 2438, 3665, 3499, 6556, 16, 17627, 2545, 7179, 3714, 16275, 11088, 15637, 962, 342, 1624, 11350, 17, 1313, 11562, 2422, 282, 49540, 274, 9500, 304, 32210, 16, 282, 411, 265, 818, 763, 289, 7730, 763, 18241, 28564, 18, 14654, 3419, 381, 12468, 409, 289, 5936, 6727, 353, 49840, 266, 321, 18, 14078, 49840, 266, 321, 15762, 1154, 282, 3177, 584, 419, 844, 482, 20687, 309, 16557, 1352, 5335, 282, 3709, 411, 1634, 12496, 523, 15637, 962, 342, 16, 282, 27212, 19139, 275, 381, 41317, 464, 18, 478, 563, 1018, 14710, 16, 492, 42383, 282, 8347, 13636, 16, 374, 11868, 703, 334, 9161, 18, 2465, 35188, 16, 428, 492, 1655, 2382, 3213, 1500, 5809, 16, 374, 329, 703, 7108, 7134, 8625, 3359, 2283, 16, 40869, 36805, 309, 4822, 16, 33718, 468, 9790, 289, 1871, 17336, 31945, 16, 785, 492, 4374, 282, 1322, 298, 360, 703, 282, 15699, 4158, 9269, 9872, 35, 510, 18585, 49840, 266, 321, 18, 510, 26813, 533, 23065, 17146, 16, 374, 417, 18889, 6908, 281, 1498, 35377, 16, 374, 279, 905, 5207, 20243, 5691, 307, 18, 4406, 1675, 420, 21844, 16, 1029, 3189, 475, 481, 18, 35606, 15068, 16, 18259, 301, 574, 473, 293, 2105, 420, 456, 15637, 962, 342, 510, 478, 18386, 18, 8381, 470, 17014, 403, 10814, 16, 975, 11103, 2626, 14267, 282, 25834, 14132, 8150, 16, 289, 417, 1038, 11103, 12518, 975, 1263, 309, 4843, 28, 3763, 16, 453, 374, 16, 453, 670, 4345, 16, 417, 6604, 3797, 16, 374, 3754, 840, 5698, 354, 18, 403, 6095, 16, 417, 1904, 2060, 16, 30857, 481, 16, 785, 28468, 512, 30568, 21815, 334, 9161, 16, 687, 785, 492, 11868, 703, 16, 309, 1169, 322, 639, 29763, 368, 861, 907, 1547, 559, 1622, 1547, 1132, 26897, 18971, 1099, 1945, 18760, 27643, 1622, 1547, 46624, 15682, 6471, 596, 463, 33786, 18, 907, 11, 81, 9628, 5586, 1227, 710, 20666, 1547, 15087, 10396, 463, 13869, 1622, 907, 535, 1892, 22069, 1112, 544, 3983, 4728, 1338, 407, 2816, 19365, 527, 1002, 5328, 16, 1550, 9507, 10424, 544, 3983, 16, 407, 15228, 6743, 692, 654, 4225, 2806, 5293, 24739, 34429, 5601, 1547, 1010, 13245, 657, 816, 44102, 21046, 1806, 6471, 596, 463, 27614, 32330, 593, 18841, 8218, 46242, 410, 473, 25026, 1019, 77, 2194, 11996, 907, 5803, 82, 16221, 3970, 25980, 1338, 5496, 16, 6609, 14233, 6609, 1622, 1547, 3119, 12803, 1689, 658, 5586, 1112, 2832, 5242, 527, 18841, 737, 2335, 30707, 2751, 934, 654, 6572, 1564, 1550, 1057, 25917, 544, 40509, 3764, 23279, 463, 36085, 1025, 657, 18, 1059, 3278, 386, 3044, 16, 1802, 24406, 1308, 18, 29166, 1239, 11332, 16, 1547, 1564, 15063, 657, 601, 863, 10819, 6479, 28952, 35397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 26552, 6405, 4245, 14886, 349, 37061, 9914, 50066, 9441, 14457, 18, 365, 12335, 4440, 779, 16640, 16, 2412, 1779, 282, 502, 808, 3059, 4830, 16, 25960, 6348, 8369, 334, 1188, 34475, 1214, 553, 9759, 6431, 2891, 309, 9482, 16, 12215, 12414, 516, 294, 3507, 18, 19971, 20165, 7955, 12760, 718, 5500, 541, 6897, 22941, 289, 16934, 18, 3782, 2064, 12731, 1390, 289, 541, 25215, 6431, 27898, 2891, 16, 367, 1038, 35097, 2087, 289, 35832, 416, 16040, 18, 15059, 1225, 862, 16, 374, 349, 2872, 1698, 37541, 289, 19516, 18164, 5439, 18, 365, 16571, 19631, 38306, 14886, 13694, 3455, 29197, 755, 6143, 22026, 20454, 5500, 282, 3507, 3720, 38680, 5101, 1624, 5780, 14182, 4490, 13156, 282, 11872, 4018, 779, 18, 31868, 2357, 4090, 25555, 5500, 30751, 282, 970, 2875, 309, 46462, 1192, 301, 18532, 272, 30174, 9798, 720, 23133, 478, 7530, 597, 10474, 343, 910, 3153, 282, 11366, 4018, 779, 7897, 282, 21989, 18, 21636, 1821, 3050, 19024, 38306, 6245, 14710, 4843, 2479, 5096, 18, 12140, 17600, 6647, 4851, 49402, 6359, 19516, 4609, 1166, 282, 4843, 3114, 5096, 18, 740, 282, 3998, 4160, 4770, 4137, 6732, 25960, 519, 8807, 25541, 18942, 5115, 282, 2630, 281, 1158, 758, 7339, 3746, 282, 7433, 23563, 18942, 18, 365, 2343, 924, 575, 5196, 41945, 15885, 11811, 15350, 25541, 18942, 38306, 6431, 7233, 2891, 309, 9482, 478, 16875, 4534, 861, 824, 22623, 11413, 16, 7462, 649, 14886, 840, 15719, 549, 7296, 3308, 1230, 1212, 5581, 282, 5492, 24814, 29186, 434, 5054, 16, 2588, 7064, 46703, 6874, 424, 1177, 4871, 18, 16424, 18666, 519, 3915, 4018, 779, 3730, 6406, 14033, 5003, 282, 9802, 6957, 5096, 2791, 329, 836, 332, 5781, 289, 7796, 6802, 16, 4848, 1655, 9128, 9362, 6365, 4210, 37962, 19751, 18, 824, 505, 3163, 16, 3455, 4000, 282, 3131, 962, 10348, 9104, 9670, 895, 953, 2619, 3417, 5999, 365, 19938, 1747, 38908, 49402, 6359, 16, 49032, 5800, 282, 7433, 38306, 14886, 289, 16743, 424, 2872, 16, 424, 481, 12846, 41945, 15069, 26200, 27594, 18, 31440, 19024, 15861, 42779, 5115, 6997, 26235, 12424, 541, 590, 6282, 1587, 14886, 4896, 22651, 5096, 2791, 281, 9752, 6309, 360, 21265, 16934, 16, 6897, 22941, 16, 33263, 36193, 289, 13509, 18, 21683, 16, 764, 519, 924, 16, 428, 4770, 25960, 519, 8807, 25541, 18942, 16, 25545, 4651, 26363, 282, 32094, 10799, 16, 374, 1827, 1148, 353, 12430, 435, 34973, 25215, 8383, 366, 289, 36193, 349, 37061, 2410, 29672, 5368, 25289, 18, 365, 32403, 4577, 4128, 16769, 12340, 3333, 5600, 21932, 4995, 8185, 432, 289, 17374, 43413, 16, 4437, 4165, 492, 18, 365, 502, 808, 428, 281, 8236, 323, 13739, 6359, 16, 961, 11413, 21860, 282, 3507, 16, 840, 25019, 411, 17, 431, 697, 12634, 382, 18, 11101, 41750, 289, 309, 14601, 668, 10784, 30, 7006, 520, 19516, 38021, 7146, 1617, 7428, 282, 16445, 5281, 12937, 4534, 510, 3848, 16, 12839, 487, 19108, 309, 2768, 349, 37061, 18, 5333, 2175, 16, 11033, 360, 1196, 368, 322, 9040, 18, 18154, 7897, 567, 12241, 322, 3947, 364, 16, 374, 282, 4301, 18653, 5084, 38306, 14886, 28648, 18351, 451, 4871, 18, 817, 322, 8566, 5606, 16249, 309, 34973, 18, 11101, 282, 36798, 21989, 2548, 16, 374, 3010, 38306, 510, 478, 7944, 3229, 1223, 3003, 25215, 11944, 910, 515, 11043, 1183, 9013, 13079, 2678, 22207, 282, 478, 609, 516, 7522, 470, 2095, 18911, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 21412, 289, 7063, 6727, 353, 49840, 266, 321, 5915, 3217, 13212, 16, 1586, 4434, 2582, 7179, 3714, 16275, 11088, 15637, 962, 342, 282, 7730, 763, 21912, 512, 16, 282, 3198, 1660, 2222, 16684, 2846, 779, 17288, 434, 12851, 18, 14766, 5698, 332, 14326, 26369, 18, 31224, 30, 3161, 3612, 2438, 3665, 3499, 6556, 16, 17627, 2545, 7179, 3714, 16275, 11088, 15637, 962, 342, 1624, 11350, 17, 1313, 11562, 2422, 282, 49540, 274, 9500, 304, 32210, 16, 282, 411, 265, 818, 763, 289, 7730, 763, 18241, 28564, 18, 14654, 3419, 381, 12468, 409, 289, 5936, 6727, 353, 49840, 266, 321, 18, 14078, 49840, 266, 321, 15762, 1154, 282, 3177, 584, 419, 844, 482, 20687, 309, 16557, 1352, 5335, 282, 3709, 411, 1634, 12496, 523, 15637, 962, 342, 16, 282, 27212, 19139, 275, 381, 41317, 464, 18, 478, 563, 1018, 14710, 16, 492, 42383, 282, 8347, 13636, 16, 374, 11868, 703, 334, 9161, 18, 2465, 35188, 16, 428, 492, 1655, 2382, 3213, 1500, 5809, 16, 374, 329, 703, 7108, 7134, 8625, 3359, 2283, 16, 40869, 36805, 309, 4822, 16, 33718, 468, 9790, 289, 1871, 17336, 31945, 16, 785, 492, 4374, 282, 1322, 298, 360, 703, 282, 15699, 4158, 9269, 9872, 35, 510, 18585, 49840, 266, 321, 18, 510, 26813, 533, 23065, 17146, 16, 374, 417, 18889, 6908, 281, 1498, 35377, 16, 374, 279, 905, 5207, 20243, 5691, 307, 18, 4406, 1675, 420, 21844, 16, 1029, 3189, 475, 481, 18, 35606, 15068, 16, 18259, 301, 574, 473, 293, 2105, 420, 456, 15637, 962, 342, 510, 478, 18386, 18, 8381, 470, 17014, 403, 10814, 16, 975, 11103, 2626, 14267, 282, 25834, 14132, 8150, 16, 289, 417, 1038, 11103, 12518, 975, 1263, 309, 4843, 28, 3763, 16, 453, 374, 16, 453, 670, 4345, 16, 417, 6604, 3797, 16, 374, 3754, 840, 5698, 354, 18, 403, 6095, 16, 417, 1904, 2060, 16, 30857, 481, 16, 785, 28468, 512, 30568, 21815, 334, 9161, 16, 687, 785, 492, 11868, 703, 16, 309, 1169, 322, 639, 29763, 368, 861, 907, 1547, 559, 1622, 1547, 1132, 26897, 18971, 1099, 1945, 18760, 27643, 1622, 1547, 46624, 15682, 6471, 596, 463, 33786, 18, 907, 11, 81, 9628, 5586, 1227, 710, 20666, 1547, 15087, 10396, 463, 13869, 1622, 907, 535, 1892, 22069, 1112, 544, 3983, 4728, 1338, 407, 2816, 19365, 527, 1002, 5328, 16, 1550, 9507, 10424, 544, 3983, 16, 407, 15228, 6743, 692, 654, 4225, 2806, 5293, 24739, 34429, 5601, 1547, 1010, 13245, 657, 816, 44102, 21046, 1806, 6471, 596, 463, 27614, 32330, 593, 18841, 8218, 46242, 410, 473, 25026, 1019, 77, 2194, 11996, 907, 5803, 82, 16221, 3970, 25980, 1338, 5496, 16, 6609, 14233, 6609, 1622, 1547, 3119, 12803, 1689, 658, 5586, 1112, 2832, 5242, 527, 18841, 737, 2335, 30707, 2751, 934, 654, 6572, 1564, 1550, 1057, 25917, 544, 40509, 3764, 23279, 463, 36085, 1025, 657, 18, 1059, 3278, 386, 3044, 16, 1802, 24406, 1308, 18, 29166, 1239, 11332, 16, 1547, 1564, 15063, 657, 601, 863, 10819, 6479, 28952, 35397 ]
[ 573, 654, 907, 11, 81, 3087, 38312, 657, 5496, 1092, 225, 15714, 16, 6609, 3840, 15525, 2138, 463, 4405, 907, 31155, 2404, 463, 8358, 29020, 8852, 26766, 4867, 18, 715, 974, 1112, 16, 907, 22683, 4180, 710, 7313, 14436, 3605, 12786, 710, 18481, 46624, 15682, 596, 463, 33786, 1417, 1802, 2084, 565, 5541, 16, 5986, 5601, 1547, 23754, 6471, 1547, 1010, 82, 16221, 47536, 657, 16205, 2084, 573, 498, 24920, 1492, 9094, 22826, 4102, 11761, 9341, 946, 1785, 9094, 25564, 80, 10792, 9094, 19497, 3220, 38934, 14048, 9094, 74, 8917, 48027, 9094, 517, 1091, 1959, 4054, 9094, 29165, 444, 9094, 71, 3677, 3044, 75, 17008, 9094, 4919, 716, 3838, 9094, 29165, 657, 9094, 91, 38087, 9094, 9562, 10221, 7752, 29165, 444, 9094, 3144, 28952, 9094, 19497, 3220, 18079, 49186, 6303, 35153, 9094, 74, 40377, 9094, 70, 1095, 70, 2093, 71, 565, 17160, 9094, 70, 1095, 70, 2093, 9094, 849, 494, 3936, 1418, 9094, 410, 8420, 89, 5506, 444, 9094, 81, 1638, 863, 9094, 70, 9042, 11632, 3144, 37734, 9094, 3449, 561, 9094, 19332, 17865, 20514, 561, 91, 11039, 9094, 15589, 29020, 91, 1863, 22826, 90, 3242, 9094, 71, 2322, 3104, 9094, 72, 2335, 1913, 1072, 444, 9094, 91, 9875, 15711, 3549, 9094, 410, 849, 3659, 565, 9094, 82, 3311, 5105, 24626, 9094, 74, 3520, 87, 3659, 74, 3520, 87, 9094, 494, 14338, 13301, 36538, 783, 360, 1442, 866, 2751, 1149, 13947, 94, 46114, 22826, 4102, 11761, 9341, 946, 1785, 13, 4518, 8426, 275, 26155, 282, 1658, 30, 10176, 29885, 56, 1367, 4434, 4912, 282, 4459, 15637, 962, 342, 1281, 3612, 3828, 786, 49, 62, 18, 824, 3352, 10195, 16, 9805, 35335, 685, 20817, 1658, 4209, 11826, 779, 282, 34232, 282, 3580, 504, 2711, 17, 983, 3651, 17, 34519, 334, 35491, 282, 11949, 763, 18, 824, 3163, 4109, 16, 3499, 1754, 1655, 322, 46584, 16, 6603, 17, 7745, 35335, 25913, 937, 349, 1420, 309, 16649, 582, 16, 515, 678, 2859, 435, 3391, 505, 7059, 18, 2112, 978, 28468, 512, 281, 4413, 6858, 349, 1420, 282, 5172, 16, 988, 11540, 26058, 18, 824, 5063, 6710, 27412, 1027, 16, 282, 3198, 5348, 18952, 5539, 678, 7356, 15831, 17009, 16, 33718, 468, 9790, 289, 2119, 2357, 22541, 434, 27032, 18, 9967, 15637, 962, 342, 10733, 455, 13143, 334, 35491, 282, 37555, 281, 19526, 3402, 18, 640, 5606, 6612, 6585, 9805, 35335, 3118, 38296, 300, 1423, 16789, 18, 4802, 6301, 6652, 539, 14668, 6517, 4684, 309, 41484, 18, 4852, 1272, 5196, 1011, 924, 26369, 18259, 301, 574, 42403, 10553, 1018, 4027, 2422, 334, 834, 440, 2078, 1234, 40344, 289, 907, 20989, 16, 18100, 282, 18840, 4415, 17, 34519, 13270, 360, 1128, 748, 16103, 613, 625, 1476, 8604, 4579, 342, 30380, 18, 24295, 35335, 10490, 9410, 4167, 282, 284, 368, 347, 44639, 282, 48123, 36493, 16, 1011, 1660, 3800, 685, 2396, 637, 18, 491, 3750, 16642, 779, 282, 1782, 890, 409, 1943, 34065, 30639, 17, 298, 1736, 301, 1251, 18952, 25937, 289, 1128, 748, 16103, 3347, 18, 20177, 262, 487, 320, 11088, 9699, 345, 8583, 342, 726, 10703, 16, 374, 28705, 7461, 1329, 322, 27268, 18, 478, 983, 323, 1844, 9461, 18, 4210, 5846, 13617, 2159, 3499, 282, 12564, 910, 651, 15875, 450, 1060, 272, 8818, 18, 2263, 28468, 512, 12679, 281, 6790, 979, 294, 14497, 21861, 1011, 924, 16, 428, 282, 8151, 3612, 6605, 5825, 290, 505, 25784, 281, 28343, 26751, 3593, 18, 478, 37864, 485, 4431, 16, 37480, 3714, 507, 289, 475, 16, 1085, 282, 11069, 9268, 3275, 761, 7036, 16, 1586, 5327, 703, 16, 510, 6463, 18259, 301, 574, 282, 3177, 584, 419, 844, 482, 18, 510, 14870, 18709, 1209, 1304, 322, 2240, 7159, 18207, 43114, 334, 4096, 16, 282, 1754, 703, 31439, 289, 19160, 467, 282, 1405, 282, 322, 3453, 5503, 48190, 416, 5492, 18, 3510, 387, 322, 5428, 15965, 32413, 18, 1787, 703, 481, 1143, 1223, 5175, 309, 21477, 16, 282, 2114, 417, 35431, 19809, 4119, 334, 322, 1360, 12885, 18, 981, 289, 322, 3073, 520, 1337, 16417, 16, 374, 41295, 4243, 8641, 282, 12938, 6705, 779, 16, 367, 12002, 290, 1169, 10552, 4158, 449, 1736, 669, 281, 4579, 342, 1396, 304, 5433, 37552, 4431, 16, 37480, 3714, 507, 289, 475, 16, 1085, 282, 11069, 9268, 3275, 761, 7036, 16, 3835, 17858, 703, 18, 14870, 18709, 1209, 1304, 322, 2240, 7159, 18207, 43114, 334, 4096, 16, 282, 1754, 703, 31439, 289, 19160, 467, 282, 1405, 322, 1965, 282, 5503, 48190, 416, 5492, 18, 3510, 387, 322, 5428, 15965, 32413, 18, 1787, 703, 481, 1143, 1223, 3073, 9786, 1080, 16, 282, 2114, 417, 35431, 19809, 4119, 334, 322, 12885, 18, 981, 289, 322, 3073, 520, 1337, 16417, 16, 374, 41295, 4243, 8641, 282, 12938, 6705, 779, 16, 367, 12002, 290, 1169, 10552, 4158, 449, 1736, 669, 1279, 4579, 1353, 599, 431, 35, 9094, 47, 16453, 55, 44, 11595, 9094, 1567, 34043, 9094, 35110, 431, 2535, 9094, 1599, 397, 446, 485, 9094, 3002, 382, 383, 522, 607, 9094, 301, 3150, 313, 9094, 14754, 267, 9094, 812, 14018, 225, 1130, 2093, 37199, 16, 32768, 657, 44852, 654, 15523, 4456, 3764, 1132, 4728, 710, 29779, 1338, 463, 972, 532, 1597, 8250, 17, 9562, 74, 4058, 28136, 16, 26970, 657, 6471, 18, 907, 5803, 12786, 710, 26021, 4180, 593, 9497, 3115, 710, 14871, 752, 48354, 1571, 27540, 2929, 1099, 463, 43954, 596, 2677, 907, 6868, 9109, 18184, 654, 21252, 5082, 463, 20729, 596, 407, 3115, 22870, 1112, 25504, 4584, 4081, 9279, 18, 10818, 4180, 16, 9497, 7185, 3115, 22683, 463, 33290, 87, 593, 14436, 49074, 527, 18, 8101, 6471, 16, 4023, 6056, 593, 4180, 2366, 24237, 710, 1400, 407, 23712, 596, 2677, 907, 3993, 463, 8326, 15407, 1417, 3115, 8852, 18, 26560, 573, 82, 16221, 1824, 44301, 1298, 34590, 710, 9497, 1622, 463, 7979, 6119, 49074, 527, 596, 10638, 593, 11541, 3908, 16, 654, 4899, 17480, 1824, 1099, 463, 5079, 73, 593, 18841, 6560, 15725, 8145, 3783, 90, 3659, 94, 35, 36538, 783, 360, 18776, 2316, 93, 1802, 16453, 55, 44, 11595, 1802, 2084, 565, 5541, 46114, 87, 444, 2316, 93, 79, 24406, 1308, 79, 2084, 565, 5541, 13, 1939, 8426, 275, 26155, 282, 1409, 30, 8066, 29885, 56, 786, 49, 62, 6274, 3604, 22076, 451, 10983, 360, 18952, 5539, 1011, 13453, 49840, 266, 321, 16, 515, 1500, 9473, 14642, 281, 17604, 496, 10195, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 573, 654, 907, 11, 81, 3087, 38312, 657, 5496, 1092, 225, 15714, 16, 6609, 3840, 15525, 2138, 463, 4405, 907, 31155, 2404, 463, 8358, 29020, 8852, 26766, 4867, 18, 715, 974, 1112, 16, 907, 22683, 4180, 710, 7313, 14436, 3605, 12786, 710, 18481, 46624, 15682, 596, 463, 33786, 1417, 1802, 2084, 565, 5541, 16, 5986, 5601, 1547, 23754, 6471, 1547, 1010, 82, 16221, 47536, 657, 16205, 2084, 573, 498, 24920, 1492, 9094, 22826, 4102, 11761, 9341, 946, 1785, 9094, 25564, 80, 10792, 9094, 19497, 3220, 38934, 14048, 9094, 74, 8917, 48027, 9094, 517, 1091, 1959, 4054, 9094, 29165, 444, 9094, 71, 3677, 3044, 75, 17008, 9094, 4919, 716, 3838, 9094, 29165, 657, 9094, 91, 38087, 9094, 9562, 10221, 7752, 29165, 444, 9094, 3144, 28952, 9094, 19497, 3220, 18079, 49186, 6303, 35153, 9094, 74, 40377, 9094, 70, 1095, 70, 2093, 71, 565, 17160, 9094, 70, 1095, 70, 2093, 9094, 849, 494, 3936, 1418, 9094, 410, 8420, 89, 5506, 444, 9094, 81, 1638, 863, 9094, 70, 9042, 11632, 3144, 37734, 9094, 3449, 561, 9094, 19332, 17865, 20514, 561, 91, 11039, 9094, 15589, 29020, 91, 1863, 22826, 90, 3242, 9094, 71, 2322, 3104, 9094, 72, 2335, 1913, 1072, 444, 9094, 91, 9875, 15711, 3549, 9094, 410, 849, 3659, 565, 9094, 82, 3311, 5105, 24626, 9094, 74, 3520, 87, 3659, 74, 3520, 87, 9094, 494, 14338, 13301, 36538, 783, 360, 1442, 866, 2751, 1149, 13947, 94, 46114, 22826, 4102, 11761, 9341, 946, 1785, 13, 4518, 8426, 275, 26155, 282, 1658, 30, 10176, 29885, 56, 1367, 4434, 4912, 282, 4459, 15637, 962, 342, 1281, 3612, 3828, 786, 49, 62, 18, 824, 3352, 10195, 16, 9805, 35335, 685, 20817, 1658, 4209, 11826, 779, 282, 34232, 282, 3580, 504, 2711, 17, 983, 3651, 17, 34519, 334, 35491, 282, 11949, 763, 18, 824, 3163, 4109, 16, 3499, 1754, 1655, 322, 46584, 16, 6603, 17, 7745, 35335, 25913, 937, 349, 1420, 309, 16649, 582, 16, 515, 678, 2859, 435, 3391, 505, 7059, 18, 2112, 978, 28468, 512, 281, 4413, 6858, 349, 1420, 282, 5172, 16, 988, 11540, 26058, 18, 824, 5063, 6710, 27412, 1027, 16, 282, 3198, 5348, 18952, 5539, 678, 7356, 15831, 17009, 16, 33718, 468, 9790, 289, 2119, 2357, 22541, 434, 27032, 18, 9967, 15637, 962, 342, 10733, 455, 13143, 334, 35491, 282, 37555, 281, 19526, 3402, 18, 640, 5606, 6612, 6585, 9805, 35335, 3118, 38296, 300, 1423, 16789, 18, 4802, 6301, 6652, 539, 14668, 6517, 4684, 309, 41484, 18, 4852, 1272, 5196, 1011, 924, 26369, 18259, 301, 574, 42403, 10553, 1018, 4027, 2422, 334, 834, 440, 2078, 1234, 40344, 289, 907, 20989, 16, 18100, 282, 18840, 4415, 17, 34519, 13270, 360, 1128, 748, 16103, 613, 625, 1476, 8604, 4579, 342, 30380, 18, 24295, 35335, 10490, 9410, 4167, 282, 284, 368, 347, 44639, 282, 48123, 36493, 16, 1011, 1660, 3800, 685, 2396, 637, 18, 491, 3750, 16642, 779, 282, 1782, 890, 409, 1943, 34065, 30639, 17, 298, 1736, 301, 1251, 18952, 25937, 289, 1128, 748, 16103, 3347, 18, 20177, 262, 487, 320, 11088, 9699, 345, 8583, 342, 726, 10703, 16, 374, 28705, 7461, 1329, 322, 27268, 18, 478, 983, 323, 1844, 9461, 18, 4210, 5846, 13617, 2159, 3499, 282, 12564, 910, 651, 15875, 450, 1060, 272, 8818, 18, 2263, 28468, 512, 12679, 281, 6790, 979, 294, 14497, 21861, 1011, 924, 16, 428, 282, 8151, 3612, 6605, 5825, 290, 505, 25784, 281, 28343, 26751, 3593, 18, 478, 37864, 485, 4431, 16, 37480, 3714, 507, 289, 475, 16, 1085, 282, 11069, 9268, 3275, 761, 7036, 16, 1586, 5327, 703, 16, 510, 6463, 18259, 301, 574, 282, 3177, 584, 419, 844, 482, 18, 510, 14870, 18709, 1209, 1304, 322, 2240, 7159, 18207, 43114, 334, 4096, 16, 282, 1754, 703, 31439, 289, 19160, 467, 282, 1405, 282, 322, 3453, 5503, 48190, 416, 5492, 18, 3510, 387, 322, 5428, 15965, 32413, 18, 1787, 703, 481, 1143, 1223, 5175, 309, 21477, 16, 282, 2114, 417, 35431, 19809, 4119, 334, 322, 1360, 12885, 18, 981, 289, 322, 3073, 520, 1337, 16417, 16, 374, 41295, 4243, 8641, 282, 12938, 6705, 779, 16, 367, 12002, 290, 1169, 10552, 4158, 449, 1736, 669, 281, 4579, 342, 1396, 304, 5433, 37552, 4431, 16, 37480, 3714, 507, 289, 475, 16, 1085, 282, 11069, 9268, 3275, 761, 7036, 16, 3835, 17858, 703, 18, 14870, 18709, 1209, 1304, 322, 2240, 7159, 18207, 43114, 334, 4096, 16, 282, 1754, 703, 31439, 289, 19160, 467, 282, 1405, 322, 1965, 282, 5503, 48190, 416, 5492, 18, 3510, 387, 322, 5428, 15965, 32413, 18, 1787, 703, 481, 1143, 1223, 3073, 9786, 1080, 16, 282, 2114, 417, 35431, 19809, 4119, 334, 322, 12885, 18, 981, 289, 322, 3073, 520, 1337, 16417, 16, 374, 41295, 4243, 8641, 282, 12938, 6705, 779, 16, 367, 12002, 290, 1169, 10552, 4158, 449, 1736, 669, 1279, 4579, 1353, 599, 431, 35, 9094, 47, 16453, 55, 44, 11595, 9094, 1567, 34043, 9094, 35110, 431, 2535, 9094, 1599, 397, 446, 485, 9094, 3002, 382, 383, 522, 607, 9094, 301, 3150, 313, 9094, 14754, 267, 9094, 812, 14018, 225, 1130, 2093, 37199, 16, 32768, 657, 44852, 654, 15523, 4456, 3764, 1132, 4728, 710, 29779, 1338, 463, 972, 532, 1597, 8250, 17, 9562, 74, 4058, 28136, 16, 26970, 657, 6471, 18, 907, 5803, 12786, 710, 26021, 4180, 593, 9497, 3115, 710, 14871, 752, 48354, 1571, 27540, 2929, 1099, 463, 43954, 596, 2677, 907, 6868, 9109, 18184, 654, 21252, 5082, 463, 20729, 596, 407, 3115, 22870, 1112, 25504, 4584, 4081, 9279, 18, 10818, 4180, 16, 9497, 7185, 3115, 22683, 463, 33290, 87, 593, 14436, 49074, 527, 18, 8101, 6471, 16, 4023, 6056, 593, 4180, 2366, 24237, 710, 1400, 407, 23712, 596, 2677, 907, 3993, 463, 8326, 15407, 1417, 3115, 8852, 18, 26560, 573, 82, 16221, 1824, 44301, 1298, 34590, 710, 9497, 1622, 463, 7979, 6119, 49074, 527, 596, 10638, 593, 11541, 3908, 16, 654, 4899, 17480, 1824, 1099, 463, 5079, 73, 593, 18841, 6560, 15725, 8145, 3783, 90, 3659, 94, 35, 36538, 783, 360, 18776, 2316, 93, 1802, 16453, 55, 44, 11595, 1802, 2084, 565, 5541, 46114, 87, 444, 2316, 93, 79, 24406, 1308, 79, 2084, 565, 5541, 13, 1939, 8426, 275, 26155, 282, 1409, 30, 8066, 29885, 56, 786, 49, 62, 6274, 3604, 22076, 451, 10983, 360, 18952, 5539, 1011, 13453, 49840, 266, 321, 16, 515, 1500, 9473, 14642, 281, 17604, 496, 10195, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917 ]
[ 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 471, 13467, 470, 282, 290, 551, 6189, 482, 21035, 478, 19386, 23987, 470, 4426, 28950, 15277, 41460, 30556, 18, 23710, 467, 668, 46234, 282, 28604, 46164, 18223, 12205, 280, 3930, 18, 768, 305, 17, 1198, 273, 18083, 9746, 1043, 5568, 478, 563, 455, 342, 552, 1614, 332, 14457, 470, 8955, 1195, 478, 3096, 399, 5497, 982, 635, 861, 11303, 4059, 928, 523, 14900, 11389, 281, 4803, 2947, 1703, 478, 45565, 861, 25744, 1161, 15513, 28604, 18700, 42215, 1702, 33596, 478, 13781, 861, 31224, 30, 732, 10654, 282, 19145, 478, 19626, 349, 7760, 470, 541, 28604, 651, 481, 24708, 18, 14089, 536, 48210, 467, 687, 2012, 296, 4929, 933, 25467, 16, 581, 289, 502, 6836, 334, 39743, 12150, 18, 403, 7555, 16, 478, 13467, 470, 349, 2846, 8900, 282, 28604, 1472, 445, 11347, 749, 6979, 18, 7537, 481, 2846, 779, 2158, 16, 785, 10078, 17, 46796, 282, 478, 44641, 380, 7478, 470, 4686, 329, 7367, 478, 618, 1736, 4640, 554, 910, 367, 1248, 8729, 1039, 10461, 281, 478, 1916, 982, 635, 861, 6290, 2384, 1313, 281, 478, 19386, 23987, 306, 470, 9680, 478, 28345, 470, 6370, 18862, 3979, 4848, 478, 46088, 18, 8381, 910, 374, 1833, 1011, 7977, 281, 14118, 1759, 7193, 7335, 309, 12309, 43079, 16, 753, 8620, 8475, 411, 20766, 1030, 26165, 7430, 5255, 18, 459, 9903, 16, 428, 942, 1143, 6979, 18, 824, 3163, 18862, 13430, 16, 19079, 639, 4522, 1920, 322, 4443, 19827, 16, 3176, 32150, 16, 1696, 10552, 14118, 44065, 8955, 282, 1819, 818, 309, 9268, 3749, 476, 290, 551, 6189, 429, 18, 3557, 1033, 374, 309, 4398, 17033, 29049, 3781, 17, 19858, 6548, 9680, 4944, 10411, 350, 5269, 2337, 364, 16, 374, 7193, 23428, 12720, 18, 478, 4348, 1514, 9680, 1703, 3040, 5620, 49686, 29819, 33507, 281, 50166, 16, 733, 32827, 2869, 697, 16, 753, 12269, 10421, 2110, 4328, 282, 10434, 910, 510, 1109, 18862, 3979, 18, 7249, 309, 475, 7482, 16, 282, 5271, 10078, 17, 44606, 4243, 687, 2361, 14909, 16, 581, 289, 502, 5458, 3732, 651, 6070, 34092, 3619, 43988, 22745, 16, 505, 45227, 14013, 3584, 33097, 18, 3791, 18862, 3979, 14403, 16, 374, 27675, 1243, 291, 873, 11272, 360, 478, 19386, 7618, 470, 1126, 7380, 25067, 18, 740, 309, 2463, 978, 322, 4243, 18, 12167, 10133, 7193, 12097, 29707, 756, 13282, 567, 12241, 16, 374, 334, 1514, 28941, 4304, 46795, 722, 13726, 263, 18, 3557, 322, 2619, 16, 17960, 7387, 3147, 3077, 549, 2117, 16, 289, 478, 13467, 470, 9655, 349, 2948, 19621, 7446, 22946, 18, 608, 3376, 536, 10406, 14603, 282, 11063, 18223, 12205, 280, 3930, 6844, 2948, 18, 1787, 11138, 28253, 1542, 15277, 807, 2756, 4056, 282, 28604, 16, 289, 492, 19886, 7555, 16714, 981, 321, 30582, 16, 14361, 722, 309, 6642, 18, 365, 28835, 7387, 322, 6917, 39002, 289, 322, 6917, 47578, 2117, 16, 1830, 3891, 7739, 1157, 48819, 13729, 485, 11274, 382, 18, 1591, 7422, 29235, 478, 19386, 23987, 470, 15831, 1154, 6730, 4426, 1561, 1941, 9547, 6816, 21364, 15043, 18, 7909, 492, 20765, 3012, 2607, 24304, 300, 2651, 27675, 1243, 291, 2127, 23478, 289, 23009, 40896, 5674, 265, 22686, 1176, 309, 1176, 281, 9715, 2509, 18, 9300, 12954, 478, 19386, 7618, 470, 1595, 9700, 17463, 651, 430, 30, 21, 18, 4541, 478, 13467, 470, 1559, 43222, 46800, 27580, 18, 365, 33915, 416, 4096, 3952, 14456, 7974, 9969, 17770, 300, 7739, 3033, 334, 27269, 289, 8731, 1423, 8616, 39520, 1279, 43734, 18, 24899, 3257, 289, 1139, 26450, 414, 5906, 651, 36129, 309, 6972, 368, 19809, 478, 864, 3724, 470, 18389, 21364, 15043, 18, 478, 13467, 470, 322, 1559, 20193, 319, 17923, 289, 282, 15301, 29235, 8782, 844, 706, 2820, 2733, 575, 9945, 651, 478, 31562, 309, 1421, 910, 6972, 368, 28253, 289, 774, 18, 365, 5703, 21364, 15043, 12679, 10793, 27675, 1243, 15334, 27665, 17, 49812, 4944, 18509, 2549, 1624, 6177, 309, 25388, 10078, 17, 8216, 1116, 25124, 1223, 2846, 13053, 18, 12426, 2998, 14571, 2882, 395, 639, 12490, 651, 1373, 575, 745, 40155, 10556, 349, 12006, 8198, 2198, 9536, 16, 374, 282, 803, 11258, 3621, 11179, 18, 9967, 478, 13467, 470, 3424, 6088, 282, 24163, 1207, 289, 3424, 387, 41888, 16, 367, 282, 5462, 582, 4816, 685, 21392, 874, 8955, 16, 2686, 8049, 7219, 322, 7757, 282, 726, 24362, 8999, 18, 459, 475, 575, 282, 290, 551, 6189, 482, 30353, 7551, 50172, 510, 33948, 5228, 312, 2612, 268, 5568, 478, 13467, 272, 470, 8955, 18, 41651, 16, 374, 475, 1421, 15277, 919, 282, 5271, 10078, 17, 44606, 1763, 9973, 44380, 16, 21312, 756, 2508, 21144, 643, 516, 5199, 12525, 5625, 13784, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 13467, 470, 510, 478, 19386, 23987, 861, 35694, 10347, 1614, 332, 512, 473, 1140, 2503, 13, 510, 28699, 5497, 982, 273, 473, 11459, 313, 404, 1876, 328, 13, 510, 1061, 30, 22, 473, 21, 30, 20, 16, 491, 30, 22, 16, 491, 30, 20, 13, 430, 30, 20, 376, 7550, 9746, 609, 473, 38900, 11831, 1483, 14940, 934, 2511, 30, 8799, 491, 30, 20, 376, 7550, 9746, 609, 16, 3703, 30, 6837, 376, 2079, 491, 30, 21, 376, 10618, 504, 11164, 375, 473, 11108, 1520, 1312, 1497, 333, 934, 4518, 30, 8771, 816, 30, 21, 376, 7550, 9746, 609, 473, 38900, 11831, 10655, 17037, 291, 934, 2555, 30, 7703, 376, 2079, 816, 30, 22, 376, 640, 696, 20848, 3899, 473, 21521, 269, 2839, 1285, 300, 934, 9690, 30, 4691, 1032, 30, 22, 376, 20836, 1849, 5971, 45948, 473, 822, 48071, 768, 1018, 1356, 16, 4944, 19608, 42932, 934, 3610, 30, 3902, 1061, 30, 22, 376, 14564, 29830, 712, 473, 4298, 1502, 13593, 807, 37492, 16, 6061, 3495, 616, 343, 934, 17185, 30, 8081, 365, 10882, 10211, 2438, 3665, 16, 374, 25236, 11303, 4059, 928, 523, 14900, 11389, 281, 4803, 2947, 1703, 478, 45565, 861, 20346, 290, 38926, 26665, 281, 4059, 928, 12248, 2815, 4770, 1252, 33596, 7586, 7974, 2124, 8883, 22533, 1624, 1029, 1038, 4848, 16, 374, 282, 478, 45565, 470, 840, 17884, 3720, 4926, 375, 18, 459, 827, 4926, 375, 1055, 282, 17381, 26500, 16, 1851, 3216, 28604, 7694, 16, 502, 4059, 928, 523, 2753, 811, 282, 4356, 36861, 291, 1275, 18, 1012, 2088, 319, 11303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1157, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 471, 13467, 470, 282, 290, 551, 6189, 482, 21035, 478, 19386, 23987, 470, 4426, 28950, 15277, 41460, 30556, 18, 23710, 467, 668, 46234, 282, 28604, 46164, 18223, 12205, 280, 3930, 18, 768, 305, 17, 1198, 273, 18083, 9746, 1043, 5568, 478, 563, 455, 342, 552, 1614, 332, 14457, 470, 8955, 1195, 478, 3096, 399, 5497, 982, 635, 861, 11303, 4059, 928, 523, 14900, 11389, 281, 4803, 2947, 1703, 478, 45565, 861, 25744, 1161, 15513, 28604, 18700, 42215, 1702, 33596, 478, 13781, 861, 31224, 30, 732, 10654, 282, 19145, 478, 19626, 349, 7760, 470, 541, 28604, 651, 481, 24708, 18, 14089, 536, 48210, 467, 687, 2012, 296, 4929, 933, 25467, 16, 581, 289, 502, 6836, 334, 39743, 12150, 18, 403, 7555, 16, 478, 13467, 470, 349, 2846, 8900, 282, 28604, 1472, 445, 11347, 749, 6979, 18, 7537, 481, 2846, 779, 2158, 16, 785, 10078, 17, 46796, 282, 478, 44641, 380, 7478, 470, 4686, 329, 7367, 478, 618, 1736, 4640, 554, 910, 367, 1248, 8729, 1039, 10461, 281, 478, 1916, 982, 635, 861, 6290, 2384, 1313, 281, 478, 19386, 23987, 306, 470, 9680, 478, 28345, 470, 6370, 18862, 3979, 4848, 478, 46088, 18, 8381, 910, 374, 1833, 1011, 7977, 281, 14118, 1759, 7193, 7335, 309, 12309, 43079, 16, 753, 8620, 8475, 411, 20766, 1030, 26165, 7430, 5255, 18, 459, 9903, 16, 428, 942, 1143, 6979, 18, 824, 3163, 18862, 13430, 16, 19079, 639, 4522, 1920, 322, 4443, 19827, 16, 3176, 32150, 16, 1696, 10552, 14118, 44065, 8955, 282, 1819, 818, 309, 9268, 3749, 476, 290, 551, 6189, 429, 18, 3557, 1033, 374, 309, 4398, 17033, 29049, 3781, 17, 19858, 6548, 9680, 4944, 10411, 350, 5269, 2337, 364, 16, 374, 7193, 23428, 12720, 18, 478, 4348, 1514, 9680, 1703, 3040, 5620, 49686, 29819, 33507, 281, 50166, 16, 733, 32827, 2869, 697, 16, 753, 12269, 10421, 2110, 4328, 282, 10434, 910, 510, 1109, 18862, 3979, 18, 7249, 309, 475, 7482, 16, 282, 5271, 10078, 17, 44606, 4243, 687, 2361, 14909, 16, 581, 289, 502, 5458, 3732, 651, 6070, 34092, 3619, 43988, 22745, 16, 505, 45227, 14013, 3584, 33097, 18, 3791, 18862, 3979, 14403, 16, 374, 27675, 1243, 291, 873, 11272, 360, 478, 19386, 7618, 470, 1126, 7380, 25067, 18, 740, 309, 2463, 978, 322, 4243, 18, 12167, 10133, 7193, 12097, 29707, 756, 13282, 567, 12241, 16, 374, 334, 1514, 28941, 4304, 46795, 722, 13726, 263, 18, 3557, 322, 2619, 16, 17960, 7387, 3147, 3077, 549, 2117, 16, 289, 478, 13467, 470, 9655, 349, 2948, 19621, 7446, 22946, 18, 608, 3376, 536, 10406, 14603, 282, 11063, 18223, 12205, 280, 3930, 6844, 2948, 18, 1787, 11138, 28253, 1542, 15277, 807, 2756, 4056, 282, 28604, 16, 289, 492, 19886, 7555, 16714, 981, 321, 30582, 16, 14361, 722, 309, 6642, 18, 365, 28835, 7387, 322, 6917, 39002, 289, 322, 6917, 47578, 2117, 16, 1830, 3891, 7739, 1157, 48819, 13729, 485, 11274, 382, 18, 1591, 7422, 29235, 478, 19386, 23987, 470, 15831, 1154, 6730, 4426, 1561, 1941, 9547, 6816, 21364, 15043, 18, 7909, 492, 20765, 3012, 2607, 24304, 300, 2651, 27675, 1243, 291, 2127, 23478, 289, 23009, 40896, 5674, 265, 22686, 1176, 309, 1176, 281, 9715, 2509, 18, 9300, 12954, 478, 19386, 7618, 470, 1595, 9700, 17463, 651, 430, 30, 21, 18, 4541, 478, 13467, 470, 1559, 43222, 46800, 27580, 18, 365, 33915, 416, 4096, 3952, 14456, 7974, 9969, 17770, 300, 7739, 3033, 334, 27269, 289, 8731, 1423, 8616, 39520, 1279, 43734, 18, 24899, 3257, 289, 1139, 26450, 414, 5906, 651, 36129, 309, 6972, 368, 19809, 478, 864, 3724, 470, 18389, 21364, 15043, 18, 478, 13467, 470, 322, 1559, 20193, 319, 17923, 289, 282, 15301, 29235, 8782, 844, 706, 2820, 2733, 575, 9945, 651, 478, 31562, 309, 1421, 910, 6972, 368, 28253, 289, 774, 18, 365, 5703, 21364, 15043, 12679, 10793, 27675, 1243, 15334, 27665, 17, 49812, 4944, 18509, 2549, 1624, 6177, 309, 25388, 10078, 17, 8216, 1116, 25124, 1223, 2846, 13053, 18, 12426, 2998, 14571, 2882, 395, 639, 12490, 651, 1373, 575, 745, 40155, 10556, 349, 12006, 8198, 2198, 9536, 16, 374, 282, 803, 11258, 3621, 11179, 18, 9967, 478, 13467, 470, 3424, 6088, 282, 24163, 1207, 289, 3424, 387, 41888, 16, 367, 282, 5462, 582, 4816, 685, 21392, 874, 8955, 16, 2686, 8049, 7219, 322, 7757, 282, 726, 24362, 8999, 18, 459, 475, 575, 282, 290, 551, 6189, 482, 30353, 7551, 50172, 510, 33948, 5228, 312, 2612, 268, 5568, 478, 13467, 272, 470, 8955, 18, 41651, 16, 374, 475, 1421, 15277, 919, 282, 5271, 10078, 17, 44606, 1763, 9973, 44380, 16, 21312, 756, 2508, 21144, 643, 516, 5199, 12525, 5625, 13784, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 13467, 470, 510, 478, 19386, 23987, 861, 35694, 10347, 1614, 332, 512, 473, 1140, 2503, 13, 510, 28699, 5497, 982, 273, 473, 11459, 313, 404, 1876, 328, 13, 510, 1061, 30, 22, 473, 21, 30, 20, 16, 491, 30, 22, 16, 491, 30, 20, 13, 430, 30, 20, 376, 7550, 9746, 609, 473, 38900, 11831, 1483, 14940, 934, 2511, 30, 8799, 491, 30, 20, 376, 7550, 9746, 609, 16, 3703, 30, 6837, 376, 2079, 491, 30, 21, 376, 10618, 504, 11164, 375, 473, 11108, 1520, 1312, 1497, 333, 934, 4518, 30, 8771, 816, 30, 21, 376, 7550, 9746, 609, 473, 38900, 11831, 10655, 17037, 291, 934, 2555, 30, 7703, 376, 2079, 816, 30, 22, 376, 640, 696, 20848, 3899, 473, 21521, 269, 2839, 1285, 300, 934, 9690, 30, 4691, 1032, 30, 22, 376, 20836, 1849, 5971, 45948, 473, 822, 48071, 768, 1018, 1356, 16, 4944, 19608, 42932, 934, 3610, 30, 3902, 1061, 30, 22, 376, 14564, 29830, 712, 473, 4298, 1502, 13593, 807, 37492, 16, 6061, 3495, 616, 343, 934, 17185, 30, 8081, 365, 10882, 10211, 2438, 3665, 16, 374, 25236, 11303, 4059, 928, 523, 14900, 11389, 281, 4803, 2947, 1703, 478, 45565, 861, 20346, 290, 38926, 26665, 281, 4059, 928, 12248, 2815, 4770, 1252, 33596, 7586, 7974, 2124, 8883, 22533, 1624, 1029, 1038, 4848, 16, 374, 282, 478, 45565, 470, 840, 17884, 3720, 4926, 375, 18, 459, 827, 4926, 375, 1055, 282, 17381, 26500, 16, 1851, 3216, 28604, 7694, 16, 502, 4059, 928, 523, 2753, 811, 282, 4356, 36861, 291, 1275, 18, 1012, 2088, 319, 11303 ]
[ 840, 424, 4039, 17, 277, 21908, 18, 365, 4413, 8267, 42905, 2299, 478, 563, 455, 10347, 1614, 332, 512, 910, 4813, 309, 23063, 23952, 668, 640, 36514, 20848, 293, 2509, 46234, 16, 11623, 7000, 706, 281, 478, 3096, 399, 5497, 982, 635, 910, 367, 28383, 1559, 13721, 1779, 442, 305, 17, 1198, 273, 7550, 9746, 609, 18, 478, 3096, 399, 5497, 982, 273, 470, 1011, 1126, 7380, 25067, 4893, 34760, 16, 520, 460, 1752, 14176, 40888, 13573, 1307, 1353, 2169, 651, 519, 4319, 1326, 322, 1698, 6281, 6729, 378, 2188, 897, 405, 1624, 8426, 4402, 441, 313, 289, 12055, 9880, 291, 288, 3690, 1624, 367, 19432, 1312, 1497, 333, 4522, 811, 1472, 294, 2384, 1616, 282, 47501, 18, 3747, 12208, 519, 6740, 21842, 309, 27027, 685, 282, 5329, 3077, 451, 19329, 30, 20848, 3899, 5009, 2022, 13303, 2235, 282, 20545, 519, 37158, 18, 1895, 6563, 575, 475, 329, 12234, 873, 282, 1423, 4356, 282, 18326, 29235, 16, 785, 4686, 28910, 416, 15277, 3376, 282, 28604, 2581, 811, 14013, 5971, 45948, 1624, 367, 2512, 17363, 289, 14564, 29830, 712, 18, 478, 29392, 1133, 11222, 16, 16302, 448, 27580, 14694, 294, 774, 395, 282, 2874, 8999, 16, 651, 15875, 20848, 22403, 3781, 17, 9952, 478, 563, 455, 36291, 1614, 332, 3583, 861, 651, 365, 10209, 942, 639, 4745, 14393, 874, 5199, 16, 515, 322, 7820, 16, 481, 19329, 16, 3984, 3624, 2915, 18, 640, 478, 1140, 2503, 17, 618, 987, 263, 470, 639, 939, 11723, 16, 784, 12329, 18, 3759, 7653, 6269, 16, 24950, 32689, 16, 32293, 28929, 18, 23624, 13363, 1423, 5199, 16, 322, 784, 14044, 18, 4406, 9680, 16, 3984, 9358, 2666, 11222, 18, 3923, 16, 6317, 16, 374, 17363, 774, 16, 515, 6860, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 563, 455, 10347, 1614, 332, 512, 470, 510, 478, 3096, 399, 5497, 982, 273, 861, 450, 12628, 472, 473, 26157, 486, 13, 510, 6873, 27472, 473, 1659, 1521, 291, 13, 510, 491, 30, 21, 27409, 473, 20, 30, 20, 16, 2239, 30, 20, 16, 430, 30, 21, 16, 430, 30, 20, 13, 430, 30, 20, 376, 34620, 12995, 473, 28810, 11219, 344, 934, 3610, 30, 10670, 430, 30, 21, 376, 14564, 450, 2594, 298, 928, 778, 473, 41059, 310, 47888, 934, 15882, 30, 8976, 491, 30, 21, 376, 31793, 1068, 301, 2776, 267, 748, 267, 473, 37450, 1034, 628, 293, 16, 34620, 12995, 934, 20197, 30, 6462, 25744, 1161, 15513, 28604, 18700, 42215, 1702, 33596, 478, 13781, 470, 510, 567, 808, 7977, 281, 18319, 291, 1703, 478, 38900, 1699, 339, 861, 15822, 5551, 1702, 17028, 510, 13435, 16, 27, 744, 377, 8216, 18, 2949, 924, 16, 282, 803, 575, 8267, 685, 12642, 15513, 8900, 334, 43415, 3283, 510, 26856, 2479, 15364, 18, 30866, 3536, 873, 567, 10246, 4426, 37122, 12278, 15364, 21648, 45530, 8955, 329, 478, 38900, 1699, 274, 470, 282, 290, 551, 6189, 482, 651, 2566, 668, 46234, 46164, 31793, 1068, 301, 2776, 267, 748, 267, 18, 1591, 7422, 29235, 43988, 329, 1702, 17028, 3619, 13328, 778, 774, 34544, 34439, 5888, 21321, 526, 6739, 285, 1624, 374, 19344, 20330, 9587, 282, 28604, 6315, 1318, 1508, 21605, 8544, 328, 711, 272, 18, 11566, 16, 374, 1595, 2849, 42905, 1612, 492, 8782, 844, 305, 478, 275, 267, 809, 516, 910, 2686, 349, 36670, 7130, 519, 949, 16946, 14564, 450, 2594, 298, 928, 778, 3221, 4165, 2948, 16, 1029, 1472, 309, 17530, 17, 295, 20537, 6844, 34620, 2776, 426, 18, 365, 6031, 4966, 38346, 326, 27283, 48148, 282, 290, 551, 6189, 482, 16, 2486, 5290, 349, 15014, 353, 16, 367, 8776, 9594, 541, 478, 6397, 1699, 355, 470, 895, 11505, 1500, 5809, 16, 374, 29343, 448, 16452, 32908, 12357, 281, 8508, 2223, 282, 17370, 9964, 18, 365, 803, 8267, 282, 5271, 478, 38900, 1699, 274, 470, 31112, 11114, 17, 7745, 25236, 4944, 47683, 1624, 1029, 11347, 282, 15301, 1451, 1414, 281, 18357, 8676, 727, 4013, 1711, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 13781, 470, 472, 510, 478, 38900, 27472, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 3693, 11261, 2461, 16197, 8308, 379, 3340, 16, 4208, 20202, 41810, 11910, 282, 27801, 928, 1212, 474, 38279, 307, 5395, 41549, 16, 1055, 2504, 322, 29403, 16, 2391, 1756, 289, 808, 505, 28047, 309, 5734, 2083, 10480, 18, 4756, 8846, 16, 374, 19418, 11138, 1631, 2419, 21005, 3003, 16, 988, 505, 8838, 1507, 18, 5333, 2175, 898, 41847, 13689, 14450, 290, 970, 16, 374, 14883, 447, 2822, 281, 1807, 1011, 23543, 34911, 8838, 10329, 12355, 360, 505, 9994, 16, 282, 25858, 541, 749, 679, 432, 18, 31224, 30, 10880, 462, 289, 808, 28047, 34911, 2461, 16197, 8308, 379, 3340, 1624, 1029, 22111, 41810, 11910, 282, 10513, 928, 1212, 474, 38279, 307, 5395, 41549, 16, 1055, 48885, 16, 3828, 6080, 478, 13261, 470, 9128, 6677, 6937, 10513, 447, 450, 7014, 551, 16378, 17792, 7656, 1624, 5542, 6954, 16, 374, 349, 505, 11261, 519, 4319, 1326, 2504, 322, 29403, 18, 2667, 978, 2438, 3665, 16, 374, 1281, 17, 11884, 8308, 379, 3340, 8838, 10329, 1011, 924, 16, 428, 1747, 29346, 475, 25994, 3793, 24492, 18, 985, 15135, 5037, 6937, 10513, 447, 4210, 9689, 389, 1428, 1624, 3003, 290, 970, 16, 988, 1199, 1507, 11138, 1631, 16, 21005, 505, 19418, 18, 5333, 2175, 492, 41847, 3438, 15580, 4419, 282, 36539, 4371, 290, 30554, 8838, 1507, 8308, 379, 3340, 1248, 1871, 5576, 309, 13948, 282, 25858, 541, 749, 679, 432, 16, 12355, 360, 24470, 773, 1512, 18, 20513, 297, 13831, 282, 27801, 928, 1212, 474, 927, 6755, 13132, 2123, 3802, 18, 21621, 282, 29986, 17053, 26123, 10301, 25065, 8308, 379, 523, 14268, 282, 8183, 34638, 539, 7569, 539, 11260, 16, 2486, 7997, 364, 282, 20679, 18, 4342, 5097, 783, 16, 334, 36880, 5792, 16, 13132, 1011, 924, 16, 428, 19011, 2808, 18, 2112, 978, 492, 7479, 309, 2992, 11386, 6359, 16, 988, 6844, 39473, 411, 23476, 21155, 33377, 1912, 28935, 18, 1681, 5627, 424, 5279, 475, 16, 2616, 492, 23098, 309, 3177, 3427, 18, 365, 3198, 12677, 289, 23543, 3994, 3695, 1135, 18, 6682, 3610, 1135, 24214, 6025, 282, 37217, 4349, 18, 2263, 37842, 1011, 978, 14883, 3389, 281, 1807, 282, 20182, 18, 46899, 11285, 473, 4395, 13, 5292, 18562, 11969, 1743, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 840, 424, 4039, 17, 277, 21908, 18, 365, 4413, 8267, 42905, 2299, 478, 563, 455, 10347, 1614, 332, 512, 910, 4813, 309, 23063, 23952, 668, 640, 36514, 20848, 293, 2509, 46234, 16, 11623, 7000, 706, 281, 478, 3096, 399, 5497, 982, 635, 910, 367, 28383, 1559, 13721, 1779, 442, 305, 17, 1198, 273, 7550, 9746, 609, 18, 478, 3096, 399, 5497, 982, 273, 470, 1011, 1126, 7380, 25067, 4893, 34760, 16, 520, 460, 1752, 14176, 40888, 13573, 1307, 1353, 2169, 651, 519, 4319, 1326, 322, 1698, 6281, 6729, 378, 2188, 897, 405, 1624, 8426, 4402, 441, 313, 289, 12055, 9880, 291, 288, 3690, 1624, 367, 19432, 1312, 1497, 333, 4522, 811, 1472, 294, 2384, 1616, 282, 47501, 18, 3747, 12208, 519, 6740, 21842, 309, 27027, 685, 282, 5329, 3077, 451, 19329, 30, 20848, 3899, 5009, 2022, 13303, 2235, 282, 20545, 519, 37158, 18, 1895, 6563, 575, 475, 329, 12234, 873, 282, 1423, 4356, 282, 18326, 29235, 16, 785, 4686, 28910, 416, 15277, 3376, 282, 28604, 2581, 811, 14013, 5971, 45948, 1624, 367, 2512, 17363, 289, 14564, 29830, 712, 18, 478, 29392, 1133, 11222, 16, 16302, 448, 27580, 14694, 294, 774, 395, 282, 2874, 8999, 16, 651, 15875, 20848, 22403, 3781, 17, 9952, 478, 563, 455, 36291, 1614, 332, 3583, 861, 651, 365, 10209, 942, 639, 4745, 14393, 874, 5199, 16, 515, 322, 7820, 16, 481, 19329, 16, 3984, 3624, 2915, 18, 640, 478, 1140, 2503, 17, 618, 987, 263, 470, 639, 939, 11723, 16, 784, 12329, 18, 3759, 7653, 6269, 16, 24950, 32689, 16, 32293, 28929, 18, 23624, 13363, 1423, 5199, 16, 322, 784, 14044, 18, 4406, 9680, 16, 3984, 9358, 2666, 11222, 18, 3923, 16, 6317, 16, 374, 17363, 774, 16, 515, 6860, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 563, 455, 10347, 1614, 332, 512, 470, 510, 478, 3096, 399, 5497, 982, 273, 861, 450, 12628, 472, 473, 26157, 486, 13, 510, 6873, 27472, 473, 1659, 1521, 291, 13, 510, 491, 30, 21, 27409, 473, 20, 30, 20, 16, 2239, 30, 20, 16, 430, 30, 21, 16, 430, 30, 20, 13, 430, 30, 20, 376, 34620, 12995, 473, 28810, 11219, 344, 934, 3610, 30, 10670, 430, 30, 21, 376, 14564, 450, 2594, 298, 928, 778, 473, 41059, 310, 47888, 934, 15882, 30, 8976, 491, 30, 21, 376, 31793, 1068, 301, 2776, 267, 748, 267, 473, 37450, 1034, 628, 293, 16, 34620, 12995, 934, 20197, 30, 6462, 25744, 1161, 15513, 28604, 18700, 42215, 1702, 33596, 478, 13781, 470, 510, 567, 808, 7977, 281, 18319, 291, 1703, 478, 38900, 1699, 339, 861, 15822, 5551, 1702, 17028, 510, 13435, 16, 27, 744, 377, 8216, 18, 2949, 924, 16, 282, 803, 575, 8267, 685, 12642, 15513, 8900, 334, 43415, 3283, 510, 26856, 2479, 15364, 18, 30866, 3536, 873, 567, 10246, 4426, 37122, 12278, 15364, 21648, 45530, 8955, 329, 478, 38900, 1699, 274, 470, 282, 290, 551, 6189, 482, 651, 2566, 668, 46234, 46164, 31793, 1068, 301, 2776, 267, 748, 267, 18, 1591, 7422, 29235, 43988, 329, 1702, 17028, 3619, 13328, 778, 774, 34544, 34439, 5888, 21321, 526, 6739, 285, 1624, 374, 19344, 20330, 9587, 282, 28604, 6315, 1318, 1508, 21605, 8544, 328, 711, 272, 18, 11566, 16, 374, 1595, 2849, 42905, 1612, 492, 8782, 844, 305, 478, 275, 267, 809, 516, 910, 2686, 349, 36670, 7130, 519, 949, 16946, 14564, 450, 2594, 298, 928, 778, 3221, 4165, 2948, 16, 1029, 1472, 309, 17530, 17, 295, 20537, 6844, 34620, 2776, 426, 18, 365, 6031, 4966, 38346, 326, 27283, 48148, 282, 290, 551, 6189, 482, 16, 2486, 5290, 349, 15014, 353, 16, 367, 8776, 9594, 541, 478, 6397, 1699, 355, 470, 895, 11505, 1500, 5809, 16, 374, 29343, 448, 16452, 32908, 12357, 281, 8508, 2223, 282, 17370, 9964, 18, 365, 803, 8267, 282, 5271, 478, 38900, 1699, 274, 470, 31112, 11114, 17, 7745, 25236, 4944, 47683, 1624, 1029, 11347, 282, 15301, 1451, 1414, 281, 18357, 8676, 727, 4013, 1711, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 13781, 470, 472, 510, 478, 38900, 27472, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 3693, 11261, 2461, 16197, 8308, 379, 3340, 16, 4208, 20202, 41810, 11910, 282, 27801, 928, 1212, 474, 38279, 307, 5395, 41549, 16, 1055, 2504, 322, 29403, 16, 2391, 1756, 289, 808, 505, 28047, 309, 5734, 2083, 10480, 18, 4756, 8846, 16, 374, 19418, 11138, 1631, 2419, 21005, 3003, 16, 988, 505, 8838, 1507, 18, 5333, 2175, 898, 41847, 13689, 14450, 290, 970, 16, 374, 14883, 447, 2822, 281, 1807, 1011, 23543, 34911, 8838, 10329, 12355, 360, 505, 9994, 16, 282, 25858, 541, 749, 679, 432, 18, 31224, 30, 10880, 462, 289, 808, 28047, 34911, 2461, 16197, 8308, 379, 3340, 1624, 1029, 22111, 41810, 11910, 282, 10513, 928, 1212, 474, 38279, 307, 5395, 41549, 16, 1055, 48885, 16, 3828, 6080, 478, 13261, 470, 9128, 6677, 6937, 10513, 447, 450, 7014, 551, 16378, 17792, 7656, 1624, 5542, 6954, 16, 374, 349, 505, 11261, 519, 4319, 1326, 2504, 322, 29403, 18, 2667, 978, 2438, 3665, 16, 374, 1281, 17, 11884, 8308, 379, 3340, 8838, 10329, 1011, 924, 16, 428, 1747, 29346, 475, 25994, 3793, 24492, 18, 985, 15135, 5037, 6937, 10513, 447, 4210, 9689, 389, 1428, 1624, 3003, 290, 970, 16, 988, 1199, 1507, 11138, 1631, 16, 21005, 505, 19418, 18, 5333, 2175, 492, 41847, 3438, 15580, 4419, 282, 36539, 4371, 290, 30554, 8838, 1507, 8308, 379, 3340, 1248, 1871, 5576, 309, 13948, 282, 25858, 541, 749, 679, 432, 16, 12355, 360, 24470, 773, 1512, 18, 20513, 297, 13831, 282, 27801, 928, 1212, 474, 927, 6755, 13132, 2123, 3802, 18, 21621, 282, 29986, 17053, 26123, 10301, 25065, 8308, 379, 523, 14268, 282, 8183, 34638, 539, 7569, 539, 11260, 16, 2486, 7997, 364, 282, 20679, 18, 4342, 5097, 783, 16, 334, 36880, 5792, 16, 13132, 1011, 924, 16, 428, 19011, 2808, 18, 2112, 978, 492, 7479, 309, 2992, 11386, 6359, 16, 988, 6844, 39473, 411, 23476, 21155, 33377, 1912, 28935, 18, 1681, 5627, 424, 5279, 475, 16, 2616, 492, 23098, 309, 3177, 3427, 18, 365, 3198, 12677, 289, 23543, 3994, 3695, 1135, 18, 6682, 3610, 1135, 24214, 6025, 282, 37217, 4349, 18, 2263, 37842, 1011, 978, 14883, 3389, 281, 1807, 282, 20182, 18, 46899, 11285, 473, 4395, 13, 5292, 18562, 11969, 1743, 334 ]
[ 7705, 478, 464, 947, 266, 910, 515, 5747, 7896, 23305, 3064, 505, 309, 11051, 381, 16765, 1949, 289, 1033, 1562, 1582, 2378, 536, 9945, 18, 365, 7824, 4357, 41375, 5395, 40745, 6442, 16, 374, 8308, 379, 523, 583, 18495, 937, 34638, 448, 23694, 18, 985, 4725, 5854, 5821, 684, 16095, 25100, 12017, 1624, 2048, 2174, 11260, 478, 660, 13288, 3257, 470, 510, 7910, 1066, 334, 505, 15248, 942, 3089, 282, 12462, 18, 472, 545, 1919, 289, 9469, 31256, 294, 3130, 17053, 583, 13594, 282, 12277, 18, 608, 1047, 639, 31373, 14698, 309, 515, 1979, 6617, 18, 2320, 492, 3619, 16, 33656, 1488, 3597, 8947, 4846, 42637, 18, 478, 3001, 13594, 1223, 9469, 20732, 510, 481, 17311, 3400, 541, 37639, 16, 1029, 895, 9490, 3376, 6908, 18, 817, 6382, 31373, 11125, 16, 5870, 417, 2060, 16, 2486, 26285, 975, 2990, 309, 33930, 16, 515, 1979, 289, 27315, 6617, 334, 14371, 16, 492, 1329, 322, 29386, 18, 2171, 368, 3084, 334, 8062, 888, 16, 5230, 1749, 15415, 16, 32752, 16, 37854, 1320, 11707, 16, 334, 1281, 986, 16713, 16, 3122, 5802, 16, 481, 40192, 18, 1912, 17, 295, 13236, 32796, 510, 43045, 16, 1029, 9843, 282, 39867, 910, 510, 4848, 472, 5437, 17565, 4944, 3183, 2325, 1624, 6187, 11995, 16, 282, 2114, 8308, 379, 523, 13594, 5472, 18, 11925, 453, 313, 23229, 8308, 379, 19137, 39346, 30521, 2835, 31727, 17, 21078, 13219, 312, 4846, 42637, 18, 4802, 10292, 2797, 9973, 8840, 34378, 16, 4729, 27664, 16, 22162, 16, 37829, 289, 18100, 973, 16, 961, 3005, 10919, 17187, 18, 34608, 16, 44605, 19417, 11138, 1631, 35653, 349, 5472, 289, 30025, 1354, 428, 965, 16, 453, 289, 1634, 32856, 1051, 289, 27664, 16, 1055, 48885, 18, 740, 3665, 16, 374, 1805, 329, 37639, 906, 3964, 322, 35449, 549, 18, 985, 2438, 3665, 5792, 16, 282, 15301, 16354, 8308, 379, 523, 27035, 3660, 294, 19520, 1011, 924, 16, 428, 3809, 11686, 1559, 11915, 3663, 411, 17, 431, 17336, 5430, 18, 16344, 1559, 8761, 874, 289, 17794, 15311, 16, 282, 970, 2875, 7767, 8724, 289, 46228, 2461, 16197, 16, 18479, 505, 23039, 18, 8308, 379, 22943, 16, 334, 3163, 8243, 5303, 16, 5440, 3342, 315, 30, 4135, 773, 1494, 322, 9929, 18, 608, 1436, 7905, 347, 8308, 379, 3340, 510, 18632, 382, 282, 29668, 30895, 11329, 363, 49570, 510, 685, 6993, 42772, 40455, 18, 740, 309, 1497, 45194, 27051, 9466, 502, 16, 374, 678, 23547, 282, 2068, 464, 478, 563, 14332, 538, 459, 20605, 642, 470, 473, 11619, 4504, 32587, 282, 1175, 13, 473, 11619, 4504, 32587, 282, 1175, 934, 33060, 5792, 477, 7755, 309, 13873, 8308, 379, 7492, 18, 4922, 7178, 549, 8967, 906, 39831, 17664, 16458, 7400, 536, 18900, 282, 7847, 1045, 18, 14766, 11638, 3277, 11852, 294, 1360, 31198, 26267, 617, 289, 5794, 30, 678, 1240, 1154, 505, 309, 15160, 2068, 548, 16, 9321, 40568, 42856, 11138, 1631, 18, 824, 23650, 3352, 16, 8308, 379, 22943, 935, 10073, 6925, 2795, 2474, 668, 7178, 668, 29213, 18, 985, 18157, 478, 36625, 470, 1624, 36389, 309, 8737, 604, 29599, 7897, 16, 349, 16508, 9205, 1687, 17163, 18954, 933, 19335, 15311, 27801, 928, 718, 37639, 49265, 5317, 309, 6957, 2791, 18, 5452, 6482, 742, 10195, 15135, 16, 374, 309, 6975, 8308, 379, 3340, 13721, 326, 23828, 381, 46559, 19690, 8191, 16, 515, 7153, 1973, 505, 687, 1011, 28047, 34911, 18, 1681, 5050, 382, 16, 661, 2508, 2461, 16197, 8308, 379, 3340, 16, 8661, 467, 505, 428, 3204, 346, 11138, 1631, 18, 824, 697, 3163, 16, 492, 1421, 779, 8202, 19195, 16907, 668, 34517, 12671, 16, 1586, 28469, 2988, 349, 45490, 44592, 16, 2988, 349, 22679, 16, 43059, 289, 2393, 9332, 18, 478, 16846, 522, 477, 7322, 3746, 16, 23436, 16, 10714, 451, 18, 12167, 1205, 3525, 2076, 14431, 16, 1559, 41705, 280, 12418, 18, 26140, 282, 3177, 2968, 910, 510, 4725, 1176, 411, 19527, 474, 927, 890, 18, 19400, 3056, 6881, 16, 374, 3010, 25090, 10076, 25065, 2173, 918, 937, 7735, 18, 6682, 924, 16, 492, 1552, 811, 3319, 12594, 4869, 281, 24074, 4413, 16, 515, 1500, 322, 371, 2077, 505, 3163, 7713, 18, 365, 502, 575, 808, 16548, 11138, 1631, 22985, 16, 374, 282, 41549, 492, 5243, 310, 44403, 4062, 477, 1963, 32856, 1051, 18, 478, 25852, 5680, 3857, 3153, 784, 16, 374, 492, 2669, 37020, 706, 281, 4715, 4857, 18, 817, 10799, 16, 374, 9724, 18027, 294, 5067, 16, 785, 505, 558, 3488, 1005, 293, 1157, 4732, 2802, 1676, 505, 349, 502, 16, 374, 492, 322, 1574, 16, 428, 475, 910, 510, 10703, 40568, 1760, 17, 16981, 26407, 354, 18, 1253, 12698, 16, 374, 8308, 379, 523, 3153, 1450, 290, 1634, 18979, 29284, 349, 475, 44403, 4062, 18, 403, 2222, 575, 492, 27834, 16, 374, 411, 17, 431, 48227, 13223, 477, 1963, 558, 3488, 1005, 293, 1051, 492, 478, 404, 3957, 3660, 861, 478, 5798, 656, 281, 1498, 42210, 16, 475, 639, 1904, 18, 817, 685, 15651, 289, 16908, 15584, 16, 22499, 784, 16, 785, 639, 4702, 18, 2465, 15241, 1512, 16, 1639, 492, 17005, 9572, 16, 289, 784, 939, 10677, 16, 374, 492, 14883, 3389, 1805, 14837, 1518, 18, 817, 685, 939, 14158, 4413, 910, 510, 16926, 5993, 2016, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 35911, 7263, 293, 8286, 31089, 16628, 2422, 334, 26409, 10673, 25759, 18, 1598, 17252, 34143, 11881, 4617, 712, 27072, 18237, 2203, 43261, 8790, 320, 26986, 1409, 21430, 289, 1286, 44162, 40203, 18, 31224, 30, 677, 6588, 360, 36082, 16, 988, 10673, 10226, 17, 28678, 362, 2203, 477, 1740, 392, 802, 687, 282, 5248, 4357, 289, 3541, 547, 1538, 19568, 1919, 16, 7938, 47583, 2422, 13167, 324, 18, 3759, 289, 11815, 282, 9261, 32771, 4696, 473, 10356, 10752, 26231, 289, 1949, 3541, 432, 934, 289, 935, 3541, 448, 20791, 7053, 283, 2543, 16, 988, 27232, 14903, 334, 23386, 10445, 3437, 1951, 2543, 18, 365, 1335, 14552, 404, 12620, 942, 1833, 21633, 11854, 1876, 18, 7075, 7878, 16616, 282, 17139, 282, 7263, 293, 8286, 12362, 18061, 13459, 3583, 16, 36126, 36831, 12568, 289, 36126, 20768, 3583, 1624, 515, 16, 334, 14857, 16, 282, 23376, 32060, 1538, 19568, 1042, 3005, 7866, 506, 1472, 1871, 10673, 10226, 411, 2059, 2553, 18, 12250, 355, 48624, 5915, 20768, 3583, 18, 14557, 1162, 14007, 343, 3873, 8053, 13459, 3583, 309, 34472, 17, 13733, 3424, 26851, 1595, 9250, 8462, 16, 48253 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7705, 478, 464, 947, 266, 910, 515, 5747, 7896, 23305, 3064, 505, 309, 11051, 381, 16765, 1949, 289, 1033, 1562, 1582, 2378, 536, 9945, 18, 365, 7824, 4357, 41375, 5395, 40745, 6442, 16, 374, 8308, 379, 523, 583, 18495, 937, 34638, 448, 23694, 18, 985, 4725, 5854, 5821, 684, 16095, 25100, 12017, 1624, 2048, 2174, 11260, 478, 660, 13288, 3257, 470, 510, 7910, 1066, 334, 505, 15248, 942, 3089, 282, 12462, 18, 472, 545, 1919, 289, 9469, 31256, 294, 3130, 17053, 583, 13594, 282, 12277, 18, 608, 1047, 639, 31373, 14698, 309, 515, 1979, 6617, 18, 2320, 492, 3619, 16, 33656, 1488, 3597, 8947, 4846, 42637, 18, 478, 3001, 13594, 1223, 9469, 20732, 510, 481, 17311, 3400, 541, 37639, 16, 1029, 895, 9490, 3376, 6908, 18, 817, 6382, 31373, 11125, 16, 5870, 417, 2060, 16, 2486, 26285, 975, 2990, 309, 33930, 16, 515, 1979, 289, 27315, 6617, 334, 14371, 16, 492, 1329, 322, 29386, 18, 2171, 368, 3084, 334, 8062, 888, 16, 5230, 1749, 15415, 16, 32752, 16, 37854, 1320, 11707, 16, 334, 1281, 986, 16713, 16, 3122, 5802, 16, 481, 40192, 18, 1912, 17, 295, 13236, 32796, 510, 43045, 16, 1029, 9843, 282, 39867, 910, 510, 4848, 472, 5437, 17565, 4944, 3183, 2325, 1624, 6187, 11995, 16, 282, 2114, 8308, 379, 523, 13594, 5472, 18, 11925, 453, 313, 23229, 8308, 379, 19137, 39346, 30521, 2835, 31727, 17, 21078, 13219, 312, 4846, 42637, 18, 4802, 10292, 2797, 9973, 8840, 34378, 16, 4729, 27664, 16, 22162, 16, 37829, 289, 18100, 973, 16, 961, 3005, 10919, 17187, 18, 34608, 16, 44605, 19417, 11138, 1631, 35653, 349, 5472, 289, 30025, 1354, 428, 965, 16, 453, 289, 1634, 32856, 1051, 289, 27664, 16, 1055, 48885, 18, 740, 3665, 16, 374, 1805, 329, 37639, 906, 3964, 322, 35449, 549, 18, 985, 2438, 3665, 5792, 16, 282, 15301, 16354, 8308, 379, 523, 27035, 3660, 294, 19520, 1011, 924, 16, 428, 3809, 11686, 1559, 11915, 3663, 411, 17, 431, 17336, 5430, 18, 16344, 1559, 8761, 874, 289, 17794, 15311, 16, 282, 970, 2875, 7767, 8724, 289, 46228, 2461, 16197, 16, 18479, 505, 23039, 18, 8308, 379, 22943, 16, 334, 3163, 8243, 5303, 16, 5440, 3342, 315, 30, 4135, 773, 1494, 322, 9929, 18, 608, 1436, 7905, 347, 8308, 379, 3340, 510, 18632, 382, 282, 29668, 30895, 11329, 363, 49570, 510, 685, 6993, 42772, 40455, 18, 740, 309, 1497, 45194, 27051, 9466, 502, 16, 374, 678, 23547, 282, 2068, 464, 478, 563, 14332, 538, 459, 20605, 642, 470, 473, 11619, 4504, 32587, 282, 1175, 13, 473, 11619, 4504, 32587, 282, 1175, 934, 33060, 5792, 477, 7755, 309, 13873, 8308, 379, 7492, 18, 4922, 7178, 549, 8967, 906, 39831, 17664, 16458, 7400, 536, 18900, 282, 7847, 1045, 18, 14766, 11638, 3277, 11852, 294, 1360, 31198, 26267, 617, 289, 5794, 30, 678, 1240, 1154, 505, 309, 15160, 2068, 548, 16, 9321, 40568, 42856, 11138, 1631, 18, 824, 23650, 3352, 16, 8308, 379, 22943, 935, 10073, 6925, 2795, 2474, 668, 7178, 668, 29213, 18, 985, 18157, 478, 36625, 470, 1624, 36389, 309, 8737, 604, 29599, 7897, 16, 349, 16508, 9205, 1687, 17163, 18954, 933, 19335, 15311, 27801, 928, 718, 37639, 49265, 5317, 309, 6957, 2791, 18, 5452, 6482, 742, 10195, 15135, 16, 374, 309, 6975, 8308, 379, 3340, 13721, 326, 23828, 381, 46559, 19690, 8191, 16, 515, 7153, 1973, 505, 687, 1011, 28047, 34911, 18, 1681, 5050, 382, 16, 661, 2508, 2461, 16197, 8308, 379, 3340, 16, 8661, 467, 505, 428, 3204, 346, 11138, 1631, 18, 824, 697, 3163, 16, 492, 1421, 779, 8202, 19195, 16907, 668, 34517, 12671, 16, 1586, 28469, 2988, 349, 45490, 44592, 16, 2988, 349, 22679, 16, 43059, 289, 2393, 9332, 18, 478, 16846, 522, 477, 7322, 3746, 16, 23436, 16, 10714, 451, 18, 12167, 1205, 3525, 2076, 14431, 16, 1559, 41705, 280, 12418, 18, 26140, 282, 3177, 2968, 910, 510, 4725, 1176, 411, 19527, 474, 927, 890, 18, 19400, 3056, 6881, 16, 374, 3010, 25090, 10076, 25065, 2173, 918, 937, 7735, 18, 6682, 924, 16, 492, 1552, 811, 3319, 12594, 4869, 281, 24074, 4413, 16, 515, 1500, 322, 371, 2077, 505, 3163, 7713, 18, 365, 502, 575, 808, 16548, 11138, 1631, 22985, 16, 374, 282, 41549, 492, 5243, 310, 44403, 4062, 477, 1963, 32856, 1051, 18, 478, 25852, 5680, 3857, 3153, 784, 16, 374, 492, 2669, 37020, 706, 281, 4715, 4857, 18, 817, 10799, 16, 374, 9724, 18027, 294, 5067, 16, 785, 505, 558, 3488, 1005, 293, 1157, 4732, 2802, 1676, 505, 349, 502, 16, 374, 492, 322, 1574, 16, 428, 475, 910, 510, 10703, 40568, 1760, 17, 16981, 26407, 354, 18, 1253, 12698, 16, 374, 8308, 379, 523, 3153, 1450, 290, 1634, 18979, 29284, 349, 475, 44403, 4062, 18, 403, 2222, 575, 492, 27834, 16, 374, 411, 17, 431, 48227, 13223, 477, 1963, 558, 3488, 1005, 293, 1051, 492, 478, 404, 3957, 3660, 861, 478, 5798, 656, 281, 1498, 42210, 16, 475, 639, 1904, 18, 817, 685, 15651, 289, 16908, 15584, 16, 22499, 784, 16, 785, 639, 4702, 18, 2465, 15241, 1512, 16, 1639, 492, 17005, 9572, 16, 289, 784, 939, 10677, 16, 374, 492, 14883, 3389, 1805, 14837, 1518, 18, 817, 685, 939, 14158, 4413, 910, 510, 16926, 5993, 2016, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 35911, 7263, 293, 8286, 31089, 16628, 2422, 334, 26409, 10673, 25759, 18, 1598, 17252, 34143, 11881, 4617, 712, 27072, 18237, 2203, 43261, 8790, 320, 26986, 1409, 21430, 289, 1286, 44162, 40203, 18, 31224, 30, 677, 6588, 360, 36082, 16, 988, 10673, 10226, 17, 28678, 362, 2203, 477, 1740, 392, 802, 687, 282, 5248, 4357, 289, 3541, 547, 1538, 19568, 1919, 16, 7938, 47583, 2422, 13167, 324, 18, 3759, 289, 11815, 282, 9261, 32771, 4696, 473, 10356, 10752, 26231, 289, 1949, 3541, 432, 934, 289, 935, 3541, 448, 20791, 7053, 283, 2543, 16, 988, 27232, 14903, 334, 23386, 10445, 3437, 1951, 2543, 18, 365, 1335, 14552, 404, 12620, 942, 1833, 21633, 11854, 1876, 18, 7075, 7878, 16616, 282, 17139, 282, 7263, 293, 8286, 12362, 18061, 13459, 3583, 16, 36126, 36831, 12568, 289, 36126, 20768, 3583, 1624, 515, 16, 334, 14857, 16, 282, 23376, 32060, 1538, 19568, 1042, 3005, 7866, 506, 1472, 1871, 10673, 10226, 411, 2059, 2553, 18, 12250, 355, 48624, 5915, 20768, 3583, 18, 14557, 1162, 14007, 343, 3873, 8053, 13459, 3583, 309, 34472, 17, 13733, 3424, 26851, 1595, 9250, 8462, 16, 48253 ]
[ 5270, 21430, 40203, 18, 2949, 3541, 416, 21773, 282, 722, 1069, 12925, 9764, 282, 6566, 15866, 292, 16, 367, 1038, 282, 5248, 4357, 1538, 19568, 1919, 18, 31440, 302, 977, 31960, 1223, 18, 1268, 9632, 434, 2394, 665, 2124, 14245, 1161, 15465, 7583, 7342, 46474, 326, 1223, 2239, 16, 8365, 26456, 18, 20644, 806, 2848, 18326, 1756, 34384, 34379, 7362, 306, 528, 2025, 14457, 1624, 1586, 5511, 6450, 4164, 282, 17739, 269, 2557, 16, 828, 282, 25429, 16, 13459, 3583, 29575, 1154, 309, 1032, 16, 22, 26456, 18, 17052, 399, 394, 34984, 48203, 29947, 282, 16354, 1251, 11854, 1082, 289, 697, 4127, 4220, 6959, 3169, 15855, 18, 640, 44774, 13459, 3643, 282, 7263, 293, 8286, 16, 2091, 575, 16, 856, 977, 21828, 18, 25582, 12101, 9518, 329, 16586, 680, 14007, 382, 685, 939, 9910, 22058, 18, 1253, 43850, 37080, 21773, 309, 12013, 5538, 282, 19559, 289, 47205, 551, 440, 23842, 282, 1034, 27531, 41142, 1414, 16, 1269, 37999, 309, 26928, 2411, 2662, 18, 478, 1140, 17697, 425, 856, 977, 309, 44774, 282, 16876, 2100, 1538, 19568, 1042, 16, 9291, 7025, 281, 42594, 16, 376, 15875, 13459, 14457, 6080, 478, 13261, 861, 651, 5996, 16, 374, 3534, 714, 28232, 898, 19286, 687, 16044, 277, 16, 367, 322, 43374, 18, 629, 322, 1174, 2995, 12768, 16, 322, 850, 5279, 16, 322, 9666, 455, 309, 9030, 861, 824, 3163, 13459, 3643, 16, 678, 322, 10500, 290, 44774, 282, 14109, 16, 2319, 10933, 10673, 10226, 21536, 414, 1871, 4378, 11283, 18, 6682, 924, 16, 16586, 1162, 14007, 343, 3873, 8053, 322, 11792, 16, 374, 1450, 8026, 7667, 1756, 282, 10434, 18, 478, 2176, 466, 1743, 3624, 16, 367, 6548, 9680, 840, 11291, 16, 1085, 42675, 309, 14097, 292, 17, 11622, 910, 376, 16926, 18061, 18, 14427, 9680, 7342, 1175, 11658, 8790, 320, 26851, 16, 374, 1759, 1372, 764, 7736, 18, 8589, 840, 2240, 3531, 4696, 16, 381, 343, 34305, 697, 309, 35643, 292, 16, 367, 1588, 2512, 13943, 411, 34059, 16249, 1110, 16, 1085, 11080, 306, 305, 282, 14109, 12620, 289, 30293, 18, 459, 416, 5138, 28648, 687, 282, 1750, 13344, 355, 973, 15406, 18, 8790, 320, 8824, 939, 31635, 3631, 3021, 2124, 14245, 1161, 18, 478, 730, 4920, 466, 36126, 37999, 11771, 41969, 16, 329, 1710, 898, 35204, 28642, 16, 961, 47274, 20256, 16, 376, 7332, 1694, 8790, 320, 6080, 478, 13261, 861, 651, 999, 4722, 1205, 13303, 2235, 2124, 14245, 1161, 360, 13459, 3643, 5914, 18238, 18, 20768, 3583, 575, 282, 803, 1045, 322, 453, 26906, 16, 367, 1450, 309, 44435, 726, 9697, 467, 46566, 35999, 1645, 18, 365, 15866, 292, 281, 4036, 3897, 353, 282, 17139, 14515, 2756, 1760, 17, 16981, 6816, 33239, 7408, 1624, 329, 1754, 5907, 8125, 861, 1178, 282, 26231, 15866, 292, 49564, 5781, 5480, 2543, 322, 936, 31623, 262, 16, 502, 282, 3541, 432, 475, 322, 453, 6317, 28765, 18, 11876, 14066, 309, 47205, 551, 440, 23842, 639, 4806, 507, 315, 309, 396, 17940, 19142, 16, 961, 349, 9209, 45138, 309, 12112, 49164, 300, 29802, 17053, 368, 18, 2681, 289, 282, 7263, 293, 8286, 282, 1538, 19568, 1919, 20925, 1175, 49266, 12620, 7813, 1876, 18, 44146, 282, 15866, 292, 281, 36950, 2560, 4334, 2756, 27916, 8776, 9594, 18, 3510, 567, 7422, 2100, 4696, 473, 1198, 23310, 4668, 1272, 9115, 413, 13, 11854, 382, 6933, 687, 1573, 10479, 18, 640, 12112, 49164, 962, 7038, 4966, 24425, 16, 9893, 289, 16145, 18, 12926, 2203, 9268, 16, 3754, 16, 334, 17, 21362, 4266, 1882, 16, 828, 309, 35175, 4565, 18, 824, 25234, 282, 16586, 1212, 2100, 4696, 349, 1205, 519, 8615, 269, 651, 8720, 24841, 18, 3747, 8790, 320, 726, 2944, 10500, 1195, 867, 16, 428, 39280, 289, 7786, 8475, 32719, 2848, 282, 1335, 14552, 404, 4024, 478, 563, 454, 1117, 344, 4508, 28529, 344, 861, 47857, 266, 2638, 30, 30538, 11601, 1372, 18, 2112, 3873, 8053, 2452, 7583, 7342, 282, 3541, 432, 15866, 292, 15819, 3382, 3118, 18, 9133, 2236, 16586, 718, 18864, 935, 4289, 19948, 600, 1936, 282, 1335, 14552, 404, 478, 404, 8391, 861, 365, 7263, 293, 8286, 282, 5271, 4966, 28003, 19960, 324, 5035, 34040, 16, 29800, 450, 446, 8053, 16, 9409, 8450, 884, 1624, 35996, 50149, 16, 25486, 29707, 24009, 289, 12975, 378, 1447, 545, 8053, 18, 403, 8500, 4681, 827, 289, 1747, 5836, 16, 502, 9107, 1924, 18, 9570, 4696, 31573, 22878, 5836, 18, 31529, 10673, 10226, 17, 28678, 362, 2203, 726, 371, 21287, 25467, 16, 374, 1871, 19844, 16586, 1133, 19650, 651, 481, 9427, 18, 385, 16264, 26409, 10673, 13401, 942, 16228, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 26404, 26475, 1175, 3586, 334, 5083, 10326, 26150, 15139, 4047, 290, 8137, 13021, 11924, 289, 14975, 48108, 16, 515, 6547, 481, 349, 4038, 2868, 519, 17420, 290, 17472, 6863, 411, 1047, 16, 2815, 5037, 11896, 2407, 4210, 26319, 18, 824, 3163, 9362, 16, 6656, 26279, 14127, 282, 19267, 18, 26319, 9299, 16, 374, 34664, 525, 45617, 2145, 282, 803, 17691, 322, 15336, 9382, 6016, 825, 9029, 1864, 18, 31224, 30, 31971, 3082, 7796, 1552, 1175, 4210, 26319, 2815, 16, 374, 2145, 26475, 7583, 5939, 6656, 6528, 334, 41037, 26150, 20394, 282, 4301, 15139, 4047, 290, 18531, 8187, 11924, 289, 14975, 48108, 473, 16601, 48090, 822, 814, 365, 7337, 9577, 1918, 478, 11825, 430, 470, 5037, 11896, 2407, 4725, 16, 374, 29698, 3586, 898, 1223, 1472, 349, 1293, 2868, 519, 924, 16, 428, 4770, 2145, 36176, 28565, 10218, 290, 30554, 6863, 411, 15139, 4047, 18, 478, 33929, 873, 1248, 2159, 32788, 282, 3507, 26475, 282, 11896, 1175, 5911, 14259, 17597, 6528, 16, 961, 18955, 329, 1129, 22144, 18, 7100, 16, 1299, 505, 7863, 651, 282, 1078, 309, 2874, 36106, 14090, 502, 16, 374, 697, 28296, 289, 309, 9185, 1660, 745, 6977, 5042, 290, 5200, 1721, 348, 5400, 763, 9105, 910, 651, 9299, 26319, 18, 824, 3163, 6677, 21770, 4529, 16, 6656, 6528, 685, 14127, 282, 19267, 289, 2393, 11413, 18, 22209, 2125, 898, 21790, 22807, 31988, 289, 28321, 13433, 18, 26319, 9299, 16, 374, 322, 1623, 34316, 478, 275, 803, 17691, 910, 515, 10233, 2222, 16, 374, 23673, 4071, 451, 8501, 685, 30627, 3507, 1472, 349, 4038, 2868, 519, 11815, 34031, 1624, 309, 2114, 13205, 5222, 10218, 290, 20228, 2145, 411, 450, 25948, 780, 822, 18, 824, 3163, 7179, 9362, 16, 481, 322, 15336, 478, 272, 1746 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5270, 21430, 40203, 18, 2949, 3541, 416, 21773, 282, 722, 1069, 12925, 9764, 282, 6566, 15866, 292, 16, 367, 1038, 282, 5248, 4357, 1538, 19568, 1919, 18, 31440, 302, 977, 31960, 1223, 18, 1268, 9632, 434, 2394, 665, 2124, 14245, 1161, 15465, 7583, 7342, 46474, 326, 1223, 2239, 16, 8365, 26456, 18, 20644, 806, 2848, 18326, 1756, 34384, 34379, 7362, 306, 528, 2025, 14457, 1624, 1586, 5511, 6450, 4164, 282, 17739, 269, 2557, 16, 828, 282, 25429, 16, 13459, 3583, 29575, 1154, 309, 1032, 16, 22, 26456, 18, 17052, 399, 394, 34984, 48203, 29947, 282, 16354, 1251, 11854, 1082, 289, 697, 4127, 4220, 6959, 3169, 15855, 18, 640, 44774, 13459, 3643, 282, 7263, 293, 8286, 16, 2091, 575, 16, 856, 977, 21828, 18, 25582, 12101, 9518, 329, 16586, 680, 14007, 382, 685, 939, 9910, 22058, 18, 1253, 43850, 37080, 21773, 309, 12013, 5538, 282, 19559, 289, 47205, 551, 440, 23842, 282, 1034, 27531, 41142, 1414, 16, 1269, 37999, 309, 26928, 2411, 2662, 18, 478, 1140, 17697, 425, 856, 977, 309, 44774, 282, 16876, 2100, 1538, 19568, 1042, 16, 9291, 7025, 281, 42594, 16, 376, 15875, 13459, 14457, 6080, 478, 13261, 861, 651, 5996, 16, 374, 3534, 714, 28232, 898, 19286, 687, 16044, 277, 16, 367, 322, 43374, 18, 629, 322, 1174, 2995, 12768, 16, 322, 850, 5279, 16, 322, 9666, 455, 309, 9030, 861, 824, 3163, 13459, 3643, 16, 678, 322, 10500, 290, 44774, 282, 14109, 16, 2319, 10933, 10673, 10226, 21536, 414, 1871, 4378, 11283, 18, 6682, 924, 16, 16586, 1162, 14007, 343, 3873, 8053, 322, 11792, 16, 374, 1450, 8026, 7667, 1756, 282, 10434, 18, 478, 2176, 466, 1743, 3624, 16, 367, 6548, 9680, 840, 11291, 16, 1085, 42675, 309, 14097, 292, 17, 11622, 910, 376, 16926, 18061, 18, 14427, 9680, 7342, 1175, 11658, 8790, 320, 26851, 16, 374, 1759, 1372, 764, 7736, 18, 8589, 840, 2240, 3531, 4696, 16, 381, 343, 34305, 697, 309, 35643, 292, 16, 367, 1588, 2512, 13943, 411, 34059, 16249, 1110, 16, 1085, 11080, 306, 305, 282, 14109, 12620, 289, 30293, 18, 459, 416, 5138, 28648, 687, 282, 1750, 13344, 355, 973, 15406, 18, 8790, 320, 8824, 939, 31635, 3631, 3021, 2124, 14245, 1161, 18, 478, 730, 4920, 466, 36126, 37999, 11771, 41969, 16, 329, 1710, 898, 35204, 28642, 16, 961, 47274, 20256, 16, 376, 7332, 1694, 8790, 320, 6080, 478, 13261, 861, 651, 999, 4722, 1205, 13303, 2235, 2124, 14245, 1161, 360, 13459, 3643, 5914, 18238, 18, 20768, 3583, 575, 282, 803, 1045, 322, 453, 26906, 16, 367, 1450, 309, 44435, 726, 9697, 467, 46566, 35999, 1645, 18, 365, 15866, 292, 281, 4036, 3897, 353, 282, 17139, 14515, 2756, 1760, 17, 16981, 6816, 33239, 7408, 1624, 329, 1754, 5907, 8125, 861, 1178, 282, 26231, 15866, 292, 49564, 5781, 5480, 2543, 322, 936, 31623, 262, 16, 502, 282, 3541, 432, 475, 322, 453, 6317, 28765, 18, 11876, 14066, 309, 47205, 551, 440, 23842, 639, 4806, 507, 315, 309, 396, 17940, 19142, 16, 961, 349, 9209, 45138, 309, 12112, 49164, 300, 29802, 17053, 368, 18, 2681, 289, 282, 7263, 293, 8286, 282, 1538, 19568, 1919, 20925, 1175, 49266, 12620, 7813, 1876, 18, 44146, 282, 15866, 292, 281, 36950, 2560, 4334, 2756, 27916, 8776, 9594, 18, 3510, 567, 7422, 2100, 4696, 473, 1198, 23310, 4668, 1272, 9115, 413, 13, 11854, 382, 6933, 687, 1573, 10479, 18, 640, 12112, 49164, 962, 7038, 4966, 24425, 16, 9893, 289, 16145, 18, 12926, 2203, 9268, 16, 3754, 16, 334, 17, 21362, 4266, 1882, 16, 828, 309, 35175, 4565, 18, 824, 25234, 282, 16586, 1212, 2100, 4696, 349, 1205, 519, 8615, 269, 651, 8720, 24841, 18, 3747, 8790, 320, 726, 2944, 10500, 1195, 867, 16, 428, 39280, 289, 7786, 8475, 32719, 2848, 282, 1335, 14552, 404, 4024, 478, 563, 454, 1117, 344, 4508, 28529, 344, 861, 47857, 266, 2638, 30, 30538, 11601, 1372, 18, 2112, 3873, 8053, 2452, 7583, 7342, 282, 3541, 432, 15866, 292, 15819, 3382, 3118, 18, 9133, 2236, 16586, 718, 18864, 935, 4289, 19948, 600, 1936, 282, 1335, 14552, 404, 478, 404, 8391, 861, 365, 7263, 293, 8286, 282, 5271, 4966, 28003, 19960, 324, 5035, 34040, 16, 29800, 450, 446, 8053, 16, 9409, 8450, 884, 1624, 35996, 50149, 16, 25486, 29707, 24009, 289, 12975, 378, 1447, 545, 8053, 18, 403, 8500, 4681, 827, 289, 1747, 5836, 16, 502, 9107, 1924, 18, 9570, 4696, 31573, 22878, 5836, 18, 31529, 10673, 10226, 17, 28678, 362, 2203, 726, 371, 21287, 25467, 16, 374, 1871, 19844, 16586, 1133, 19650, 651, 481, 9427, 18, 385, 16264, 26409, 10673, 13401, 942, 16228, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 26404, 26475, 1175, 3586, 334, 5083, 10326, 26150, 15139, 4047, 290, 8137, 13021, 11924, 289, 14975, 48108, 16, 515, 6547, 481, 349, 4038, 2868, 519, 17420, 290, 17472, 6863, 411, 1047, 16, 2815, 5037, 11896, 2407, 4210, 26319, 18, 824, 3163, 9362, 16, 6656, 26279, 14127, 282, 19267, 18, 26319, 9299, 16, 374, 34664, 525, 45617, 2145, 282, 803, 17691, 322, 15336, 9382, 6016, 825, 9029, 1864, 18, 31224, 30, 31971, 3082, 7796, 1552, 1175, 4210, 26319, 2815, 16, 374, 2145, 26475, 7583, 5939, 6656, 6528, 334, 41037, 26150, 20394, 282, 4301, 15139, 4047, 290, 18531, 8187, 11924, 289, 14975, 48108, 473, 16601, 48090, 822, 814, 365, 7337, 9577, 1918, 478, 11825, 430, 470, 5037, 11896, 2407, 4725, 16, 374, 29698, 3586, 898, 1223, 1472, 349, 1293, 2868, 519, 924, 16, 428, 4770, 2145, 36176, 28565, 10218, 290, 30554, 6863, 411, 15139, 4047, 18, 478, 33929, 873, 1248, 2159, 32788, 282, 3507, 26475, 282, 11896, 1175, 5911, 14259, 17597, 6528, 16, 961, 18955, 329, 1129, 22144, 18, 7100, 16, 1299, 505, 7863, 651, 282, 1078, 309, 2874, 36106, 14090, 502, 16, 374, 697, 28296, 289, 309, 9185, 1660, 745, 6977, 5042, 290, 5200, 1721, 348, 5400, 763, 9105, 910, 651, 9299, 26319, 18, 824, 3163, 6677, 21770, 4529, 16, 6656, 6528, 685, 14127, 282, 19267, 289, 2393, 11413, 18, 22209, 2125, 898, 21790, 22807, 31988, 289, 28321, 13433, 18, 26319, 9299, 16, 374, 322, 1623, 34316, 478, 275, 803, 17691, 910, 515, 10233, 2222, 16, 374, 23673, 4071, 451, 8501, 685, 30627, 3507, 1472, 349, 4038, 2868, 519, 11815, 34031, 1624, 309, 2114, 13205, 5222, 10218, 290, 20228, 2145, 411, 450, 25948, 780, 822, 18, 824, 3163, 7179, 9362, 16, 481, 322, 15336, 478, 272, 1746 ]
[ 6016, 825, 9029, 1864, 289, 45396, 3283, 861, 817, 5692, 16, 374, 2145, 2125, 25111, 1617, 14267, 282, 4459, 1175, 17677, 2435, 9033, 1082, 18, 7106, 16, 22154, 21890, 16, 374, 3771, 282, 12006, 450, 25948, 780, 822, 31660, 46303, 1658, 780, 27, 6894, 289, 48120, 19071, 906, 10372, 1809, 18, 478, 6161, 745, 11680, 16, 374, 656, 2700, 6563, 48120, 16, 2862, 16, 36817, 326, 477, 17677, 18, 6351, 43957, 16, 753, 656, 10668, 16, 290, 828, 745, 12596, 4498, 910, 510, 9299, 8099, 18, 26319, 2815, 16, 374, 827, 2145, 5658, 6863, 411, 450, 25948, 780, 822, 16, 502, 2125, 12707, 16, 374, 21038, 2240, 282, 1767, 8390, 1195, 4154, 979, 16, 3387, 5686, 30790, 380, 622, 282, 803, 1750, 24829, 400, 429, 18, 9668, 21770, 4529, 5692, 16, 374, 3771, 5860, 455, 1617, 33975, 16, 2391, 22154, 1943, 697, 15870, 18, 824, 3163, 9362, 16, 21394, 4096, 282, 32094, 5683, 4745, 289, 749, 4511, 6208, 15515, 478, 15890, 2615, 2780, 861, 817, 5692, 16, 374, 2644, 13595, 16078, 3258, 4075, 290, 20228, 3507, 48885, 16, 515, 309, 1047, 3005, 25371, 428, 22294, 334, 23277, 45930, 6260, 9176, 2467, 1624, 371, 7724, 1779, 282, 7522, 16, 453, 289, 8099, 7225, 2145, 19885, 24910, 20176, 670, 1087, 15975, 22004, 3727, 1035, 262, 18, 30676, 290, 8137, 13021, 11924, 289, 14975, 48108, 282, 15381, 1045, 27875, 13205, 289, 16063, 32712, 16459, 17403, 8048, 1709, 289, 6070, 22931, 5881, 18, 365, 5792, 3875, 4957, 12177, 478, 872, 3259, 13746, 294, 749, 691, 33819, 1147, 8290, 861, 3863, 8501, 12314, 364, 13547, 309, 8225, 289, 7794, 8187, 14975, 473, 370, 6957, 519, 430, 4500, 18, 4017, 13, 289, 11924, 473, 370, 430, 4500, 18, 519, 1061, 16, 25, 4500, 18, 4017, 13, 48108, 3193, 16, 961, 6170, 435, 377, 6025, 309, 42564, 18, 403, 8151, 7294, 10507, 779, 26179, 10134, 16147, 3064, 2364, 491, 4500, 18, 8187, 16, 2145, 510, 1488, 9348, 8187, 18, 2112, 1033, 828, 1939, 986, 36064, 2145, 34856, 6551, 282, 27063, 9105, 510, 481, 3404, 13205, 4770, 38783, 21821, 282, 2801, 1045, 18, 3405, 3802, 11826, 779, 4770, 2145, 36176, 28565, 10218, 16, 374, 22154, 282, 29300, 1555, 4666, 11981, 411, 15139, 4047, 290, 8137, 13021, 11924, 289, 14975, 48108, 473, 16601, 48090, 822, 814, 824, 4734, 13279, 4830, 16, 3771, 27809, 46845, 309, 965, 15442, 334, 450, 25948, 780, 822, 18, 10110, 1175, 4137, 6732, 2815, 16, 374, 827, 2145, 2657, 530, 282, 16109, 13436, 11924, 289, 14975, 48108, 16, 502, 5343, 16, 478, 263, 11728, 16, 2879, 840, 8055, 6364, 1398, 861, 824, 3163, 9620, 16, 25850, 2553, 16, 961, 2618, 7585, 23826, 329, 965, 16775, 13436, 16, 23817, 424, 17019, 10808, 10855, 282, 1750, 8187, 434, 10687, 18, 817, 5692, 16, 374, 3771, 5304, 8055, 309, 4744, 11465, 9158, 478, 919, 938, 289, 15571, 861, 8919, 290, 450, 25948, 780, 822, 5037, 1175, 9733, 17705, 281, 12984, 2145, 5035, 433, 3663, 16078, 3258, 309, 21110, 2909, 9155, 282, 12221, 18, 1591, 9701, 1750, 16, 6732, 16328, 17217, 309, 20412, 510, 282, 18168, 5670, 5826, 15465, 10498, 446, 487, 309, 5943, 448, 7461, 2287, 4120, 282, 6292, 3417, 17, 17827, 5521, 7244, 9512, 16102, 39209, 2793, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 16, 30543, 309, 3781, 17, 19858, 282, 22906, 277, 17, 983, 1447, 16, 567, 31255, 476, 16, 3828, 381, 478, 19696, 32250, 44776, 470, 282, 8144, 1251, 478, 14210, 3334, 289, 27218, 37617, 470, 477, 23532, 12343, 18, 817, 9299, 16, 374, 481, 478, 19696, 19610, 910, 515, 478, 742, 299, 322, 7832, 294, 1175, 4307, 390, 16, 828, 492, 861, 967, 803, 28565, 5692, 16, 374, 478, 545, 48969, 281, 4778, 44180, 510, 1904, 861, 31224, 30, 22681, 2145, 36176, 28565, 12679, 309, 3781, 17, 19858, 1011, 5790, 281, 7638, 17, 41854, 10440, 44906, 10320, 5714, 599, 282, 22906, 277, 17, 983, 1447, 16, 14053, 31255, 347, 18, 43884, 5222, 3404, 1817, 13624, 28228, 334, 7546, 1175, 289, 8144, 16, 5923, 391, 26448, 477, 7755, 309, 33409, 18045, 18, 28565, 10490, 9299, 16, 374, 478, 742, 299, 322, 7832, 294, 1175, 4307, 390, 16, 828, 36176, 28565, 861, 817, 4725, 16, 374, 478, 44440, 6681, 3021, 4257, 289, 28742, 14709, 2989, 35409, 10960, 2994, 26404, 65, 18124, 3637, 43477, 289, 43477, 4662, 309, 17795, 9808, 225, 910, 5923, 727, 4742, 18, 3791, 4770, 2145, 4848, 290, 4940, 1251, 26028, 289, 43805, 37617, 282, 8144, 18, 478, 4348, 726, 381, 803, 5780, 6711, 808, 2158, 16, 329, 813, 906, 939, 16, 939, 4307, 2135, 4636, 6171, 282, 8144, 5548, 16, 5004, 2158, 16, 1251, 13092, 16515, 289, 27218, 16515, 18, 459, 481, 939, 19610, 18, 9920, 1512, 29140, 282, 1335, 44776, 910, 510, 3828, 492, 18, 817, 5692, 16, 374, 2145, 309, 13519, 11056, 35049, 8187, 451, 5335, 334, 8144, 478, 267, 4719, 4946, 27079, 861, 19065, 16, 374, 16, 334, 3761, 19267, 2407, 16, 13450, 1162, 28600, 281, 7954, 24110, 46303, 411, 39649, 473, 1369, 3761, 31460, 11494, 1624, 2671, 9069, 639, 27839, 8187, 16, 289, 475, 7926, 925, 3300, 814, 2949, 924, 16, 5037, 23127, 1642, 5692, 16, 374, 478, 545, 48969, 281, 4778, 17986, 510, 1743, 11855, 16, 367, 322, 24535, 910, 289, 9299, 16, 374, 2145, 2353, 11255, 12050, 3361, 281, 9609, 16, 38979, 289, 7688, 5885, 18, 17479, 45599, 5035, 35109, 34031, 16, 374, 492, 478, 1037, 305, 965, 281, 9609, 4307, 390, 16, 828, 785, 17, 3697, 4296, 965, 21821, 910, 282, 22668, 3741, 13951, 1279, 4534, 28522, 309, 27429, 33409, 18045, 16, 5923, 40568, 18, 824, 4734, 3013, 354, 9305, 19361, 14243, 289, 11350, 17, 2499, 297, 6035, 4111, 6727, 5044, 43253, 2800, 613, 16, 28565, 2826, 2262, 4131, 4703, 1033, 34387, 289, 1142, 4793, 12182, 282, 4459, 4534, 18, 9418, 281, 867, 21576, 33409, 40540, 42315, 18519, 322, 37309, 874, 1367, 34972, 16, 1696, 1717, 492, 478, 404, 4263, 1175, 19555, 2651, 13012, 861, 478, 618, 1215, 4770, 28565, 3404, 7457, 510, 282, 4810, 16, 2957, 3389, 7143, 3338, 16521, 1333, 309, 4843, 10590, 5096, 16, 367, 1574, 12512, 16625, 1745, 322, 14062, 18, 439, 1441, 764, 898, 38052, 3531, 12435, 510, 289, 16, 7089, 16, 29559, 697, 1279, 11854, 16, 1639, 31439, 282, 13178, 2431, 1512, 309, 2923, 10676, 18, 2787, 912, 656, 4425, 2484, 1634, 20853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6016, 825, 9029, 1864, 289, 45396, 3283, 861, 817, 5692, 16, 374, 2145, 2125, 25111, 1617, 14267, 282, 4459, 1175, 17677, 2435, 9033, 1082, 18, 7106, 16, 22154, 21890, 16, 374, 3771, 282, 12006, 450, 25948, 780, 822, 31660, 46303, 1658, 780, 27, 6894, 289, 48120, 19071, 906, 10372, 1809, 18, 478, 6161, 745, 11680, 16, 374, 656, 2700, 6563, 48120, 16, 2862, 16, 36817, 326, 477, 17677, 18, 6351, 43957, 16, 753, 656, 10668, 16, 290, 828, 745, 12596, 4498, 910, 510, 9299, 8099, 18, 26319, 2815, 16, 374, 827, 2145, 5658, 6863, 411, 450, 25948, 780, 822, 16, 502, 2125, 12707, 16, 374, 21038, 2240, 282, 1767, 8390, 1195, 4154, 979, 16, 3387, 5686, 30790, 380, 622, 282, 803, 1750, 24829, 400, 429, 18, 9668, 21770, 4529, 5692, 16, 374, 3771, 5860, 455, 1617, 33975, 16, 2391, 22154, 1943, 697, 15870, 18, 824, 3163, 9362, 16, 21394, 4096, 282, 32094, 5683, 4745, 289, 749, 4511, 6208, 15515, 478, 15890, 2615, 2780, 861, 817, 5692, 16, 374, 2644, 13595, 16078, 3258, 4075, 290, 20228, 3507, 48885, 16, 515, 309, 1047, 3005, 25371, 428, 22294, 334, 23277, 45930, 6260, 9176, 2467, 1624, 371, 7724, 1779, 282, 7522, 16, 453, 289, 8099, 7225, 2145, 19885, 24910, 20176, 670, 1087, 15975, 22004, 3727, 1035, 262, 18, 30676, 290, 8137, 13021, 11924, 289, 14975, 48108, 282, 15381, 1045, 27875, 13205, 289, 16063, 32712, 16459, 17403, 8048, 1709, 289, 6070, 22931, 5881, 18, 365, 5792, 3875, 4957, 12177, 478, 872, 3259, 13746, 294, 749, 691, 33819, 1147, 8290, 861, 3863, 8501, 12314, 364, 13547, 309, 8225, 289, 7794, 8187, 14975, 473, 370, 6957, 519, 430, 4500, 18, 4017, 13, 289, 11924, 473, 370, 430, 4500, 18, 519, 1061, 16, 25, 4500, 18, 4017, 13, 48108, 3193, 16, 961, 6170, 435, 377, 6025, 309, 42564, 18, 403, 8151, 7294, 10507, 779, 26179, 10134, 16147, 3064, 2364, 491, 4500, 18, 8187, 16, 2145, 510, 1488, 9348, 8187, 18, 2112, 1033, 828, 1939, 986, 36064, 2145, 34856, 6551, 282, 27063, 9105, 510, 481, 3404, 13205, 4770, 38783, 21821, 282, 2801, 1045, 18, 3405, 3802, 11826, 779, 4770, 2145, 36176, 28565, 10218, 16, 374, 22154, 282, 29300, 1555, 4666, 11981, 411, 15139, 4047, 290, 8137, 13021, 11924, 289, 14975, 48108, 473, 16601, 48090, 822, 814, 824, 4734, 13279, 4830, 16, 3771, 27809, 46845, 309, 965, 15442, 334, 450, 25948, 780, 822, 18, 10110, 1175, 4137, 6732, 2815, 16, 374, 827, 2145, 2657, 530, 282, 16109, 13436, 11924, 289, 14975, 48108, 16, 502, 5343, 16, 478, 263, 11728, 16, 2879, 840, 8055, 6364, 1398, 861, 824, 3163, 9620, 16, 25850, 2553, 16, 961, 2618, 7585, 23826, 329, 965, 16775, 13436, 16, 23817, 424, 17019, 10808, 10855, 282, 1750, 8187, 434, 10687, 18, 817, 5692, 16, 374, 3771, 5304, 8055, 309, 4744, 11465, 9158, 478, 919, 938, 289, 15571, 861, 8919, 290, 450, 25948, 780, 822, 5037, 1175, 9733, 17705, 281, 12984, 2145, 5035, 433, 3663, 16078, 3258, 309, 21110, 2909, 9155, 282, 12221, 18, 1591, 9701, 1750, 16, 6732, 16328, 17217, 309, 20412, 510, 282, 18168, 5670, 5826, 15465, 10498, 446, 487, 309, 5943, 448, 7461, 2287, 4120, 282, 6292, 3417, 17, 17827, 5521, 7244, 9512, 16102, 39209, 2793, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 16, 30543, 309, 3781, 17, 19858, 282, 22906, 277, 17, 983, 1447, 16, 567, 31255, 476, 16, 3828, 381, 478, 19696, 32250, 44776, 470, 282, 8144, 1251, 478, 14210, 3334, 289, 27218, 37617, 470, 477, 23532, 12343, 18, 817, 9299, 16, 374, 481, 478, 19696, 19610, 910, 515, 478, 742, 299, 322, 7832, 294, 1175, 4307, 390, 16, 828, 492, 861, 967, 803, 28565, 5692, 16, 374, 478, 545, 48969, 281, 4778, 44180, 510, 1904, 861, 31224, 30, 22681, 2145, 36176, 28565, 12679, 309, 3781, 17, 19858, 1011, 5790, 281, 7638, 17, 41854, 10440, 44906, 10320, 5714, 599, 282, 22906, 277, 17, 983, 1447, 16, 14053, 31255, 347, 18, 43884, 5222, 3404, 1817, 13624, 28228, 334, 7546, 1175, 289, 8144, 16, 5923, 391, 26448, 477, 7755, 309, 33409, 18045, 18, 28565, 10490, 9299, 16, 374, 478, 742, 299, 322, 7832, 294, 1175, 4307, 390, 16, 828, 36176, 28565, 861, 817, 4725, 16, 374, 478, 44440, 6681, 3021, 4257, 289, 28742, 14709, 2989, 35409, 10960, 2994, 26404, 65, 18124, 3637, 43477, 289, 43477, 4662, 309, 17795, 9808, 225, 910, 5923, 727, 4742, 18, 3791, 4770, 2145, 4848, 290, 4940, 1251, 26028, 289, 43805, 37617, 282, 8144, 18, 478, 4348, 726, 381, 803, 5780, 6711, 808, 2158, 16, 329, 813, 906, 939, 16, 939, 4307, 2135, 4636, 6171, 282, 8144, 5548, 16, 5004, 2158, 16, 1251, 13092, 16515, 289, 27218, 16515, 18, 459, 481, 939, 19610, 18, 9920, 1512, 29140, 282, 1335, 44776, 910, 510, 3828, 492, 18, 817, 5692, 16, 374, 2145, 309, 13519, 11056, 35049, 8187, 451, 5335, 334, 8144, 478, 267, 4719, 4946, 27079, 861, 19065, 16, 374, 16, 334, 3761, 19267, 2407, 16, 13450, 1162, 28600, 281, 7954, 24110, 46303, 411, 39649, 473, 1369, 3761, 31460, 11494, 1624, 2671, 9069, 639, 27839, 8187, 16, 289, 475, 7926, 925, 3300, 814, 2949, 924, 16, 5037, 23127, 1642, 5692, 16, 374, 478, 545, 48969, 281, 4778, 17986, 510, 1743, 11855, 16, 367, 322, 24535, 910, 289, 9299, 16, 374, 2145, 2353, 11255, 12050, 3361, 281, 9609, 16, 38979, 289, 7688, 5885, 18, 17479, 45599, 5035, 35109, 34031, 16, 374, 492, 478, 1037, 305, 965, 281, 9609, 4307, 390, 16, 828, 785, 17, 3697, 4296, 965, 21821, 910, 282, 22668, 3741, 13951, 1279, 4534, 28522, 309, 27429, 33409, 18045, 16, 5923, 40568, 18, 824, 4734, 3013, 354, 9305, 19361, 14243, 289, 11350, 17, 2499, 297, 6035, 4111, 6727, 5044, 43253, 2800, 613, 16, 28565, 2826, 2262, 4131, 4703, 1033, 34387, 289, 1142, 4793, 12182, 282, 4459, 4534, 18, 9418, 281, 867, 21576, 33409, 40540, 42315, 18519, 322, 37309, 874, 1367, 34972, 16, 1696, 1717, 492, 478, 404, 4263, 1175, 19555, 2651, 13012, 861, 478, 618, 1215, 4770, 28565, 3404, 7457, 510, 282, 4810, 16, 2957, 3389, 7143, 3338, 16521, 1333, 309, 4843, 10590, 5096, 16, 367, 1574, 12512, 16625, 1745, 322, 14062, 18, 439, 1441, 764, 898, 38052, 3531, 12435, 510, 289, 16, 7089, 16, 29559, 697, 1279, 11854, 16, 1639, 31439, 282, 13178, 2431, 1512, 309, 2923, 10676, 18, 2787, 912, 656, 4425, 2484, 1634, 20853 ]
[ 334, 9808, 18, 1345, 14923, 925, 1033, 36728, 289, 25132, 15466, 1066, 289, 21519, 326, 309, 6551, 7081, 16, 828, 785, 17, 3697, 14985, 1367, 22297, 910, 510, 4725, 43253, 399, 1577, 18, 4756, 290, 478, 1262, 4762, 7269, 289, 19874, 282, 8144, 470, 2815, 289, 16555, 309, 8892, 1087, 38402, 2145, 22004, 3727, 1035, 262, 16, 30543, 309, 6612, 6585, 282, 23340, 34766, 18, 38232, 17, 30080, 24037, 2815, 16, 374, 478, 2796, 1133, 16438, 281, 47347, 26669, 282, 8144, 470, 289, 4725, 16, 374, 478, 404, 1118, 1581, 11854, 9100, 861, 996, 3727, 1035, 262, 2715, 309, 1247, 290, 478, 452, 285, 7079, 470, 6569, 16, 2588, 28565, 12715, 282, 4599, 4433, 4551, 18, 22928, 9354, 294, 478, 1262, 4762, 1251, 26028, 289, 2689, 2855, 282, 772, 6784, 8144, 910, 1381, 8670, 16, 374, 4498, 3419, 381, 41317, 464, 5179, 16276, 269, 17, 599, 288, 17, 1295, 1891, 16, 14170, 2529, 1409, 3750, 11826, 779, 18, 15462, 2145, 35049, 18528, 6965, 5335, 334, 18437, 536, 36197, 510, 12238, 263, 16, 3165, 1876, 289, 22437, 16, 510, 5358, 5583, 424, 49624, 19683, 5439, 3495, 24211, 35251, 18, 824, 3163, 7620, 24253, 567, 7410, 281, 2145, 16, 16775, 9637, 7961, 414, 8607, 5133, 367, 507, 2169, 1275, 16, 3067, 6379, 19555, 24283, 423, 4754, 10977, 4704, 16, 1029, 7346, 4364, 478, 14237, 1502, 1133, 7340, 6180, 3402, 470, 411, 9536, 478, 41672, 1734, 17344, 861, 824, 3761, 31460, 11494, 16, 282, 31277, 309, 29357, 1295, 20146, 2706, 27, 1135, 16, 3333, 411, 1639, 8641, 898, 15499, 3317, 411, 453, 24941, 688, 47966, 28670, 7671, 18, 38160, 1273, 19882, 22172, 3934, 576, 16, 374, 31515, 906, 2574, 8140, 281, 36855, 4830, 1175, 1624, 2686, 28174, 2891, 2145, 2089, 4371, 322, 35242, 18, 3791, 282, 1524, 14538, 2145, 322, 23051, 8862, 290, 970, 16, 374, 478, 404, 1775, 9283, 15499, 1157, 470, 898, 2496, 12343, 282, 12118, 329, 16276, 269, 17, 599, 288, 17, 1295, 1891, 16, 2815, 2418, 3750, 20974, 31460, 11494, 19885, 24910, 20176, 18, 26966, 5854, 11896, 1175, 8909, 21106, 401, 25824, 14450, 290, 1581, 10284, 12343, 5781, 6684, 478, 16024, 440, 1873, 15792, 22333, 2206, 861, 1253, 16926, 16, 374, 827, 282, 8144, 289, 6535, 14429, 2407, 16, 502, 745, 478, 404, 3929, 11962, 4496, 31883, 1333, 861, 25652, 17, 15975, 4830, 1175, 6370, 26334, 2815, 16, 374, 282, 32094, 10052, 467, 3761, 687, 381, 10211, 21622, 282, 385, 7290, 5781, 6684, 19267, 18, 5792, 3012, 1166, 5230, 8915, 290, 13399, 20883, 289, 12343, 30, 360, 5544, 519, 1156, 14339, 898, 28717, 18, 365, 11896, 1175, 6442, 290, 478, 6167, 1165, 20883, 470, 289, 4256, 12343, 5302, 2165, 1175, 18, 22432, 1270, 8054, 42241, 6122, 2751, 75, 863, 3828, 1011, 1949, 6240, 21055, 15140, 289, 29836, 37829, 16, 374, 15499, 1157, 411, 688, 47966, 28670, 7671, 289, 4521, 282, 31277, 309, 29357, 1295, 322, 16831, 8465, 16, 367, 334, 3022, 1147, 17486, 954, 11596, 424, 5627, 11673, 15462, 16, 19482, 282, 2083, 4968, 282, 21520, 14169, 18, 824, 3761, 17506, 10195, 16, 9100, 322, 1033, 1939, 6814, 688, 47966, 18, 2, 1, 87, 1456, 81, 2448, 30, 12936, 11820, 30159, 334, 17, 21599, 46039, 10927, 4830, 1175, 9001, 9620, 289, 13415, 8367, 5306, 9787, 8029, 24012, 16, 1586, 7801, 1281, 4160, 282, 24000, 18, 49381, 448, 5792, 15833, 7814, 26333, 35664, 334, 44268, 23534, 16, 515, 282, 502, 575, 808, 18584, 4364, 510, 21854, 12596, 9823, 48115, 282, 5831, 1608, 4190, 478, 28083, 297, 20892, 2234, 470, 20412, 18, 31224, 30, 618, 14768, 662, 21408, 11980, 334, 8872, 5790, 4830, 1175, 9001, 9620, 289, 13415, 8367, 5306, 9787, 8029, 24012, 281, 21077, 635, 16, 18584, 25058, 16, 374, 1963, 478, 404, 20317, 11418, 470, 334, 8872, 5790, 18, 9418, 281, 867, 3781, 17, 15975, 7179, 15465, 6370, 26334, 1109, 16, 374, 1963, 322, 15607, 3168, 2102, 35664, 16, 367, 1472, 478, 267, 551, 2853, 7258, 470, 334, 32619, 4096, 18, 1367, 389, 39379, 10195, 6122, 2751, 75, 863, 7841, 10807, 37398, 10527, 14018, 5273, 16, 374, 14887, 14343, 382, 912, 18, 478, 780, 2688, 388, 289, 6732, 16, 961, 726, 2511, 986, 15379, 309, 6571, 30482, 16, 4985, 1463, 14172, 16, 515, 23220, 869, 18, 1012, 1319, 7046, 702, 2803, 6612, 467, 21640, 10651, 19786, 309, 5503, 16, 44735, 541, 22717, 382, 23989, 1320, 1003, 18, 740, 329, 11738, 912, 24201, 16, 9478, 5977, 19656, 506, 4024, 334, 18583, 867, 395, 510, 322, 2076, 300, 13584, 33530, 18, 365, 28715, 21439, 9985, 9862, 45578, 622, 18, 5890, 23584, 910, 510, 15875, 27271, 6653, 22821, 478, 26577, 1577, 2135, 15142, 861, 365, 1423, 3678, 16, 10958, 12326, 12739, 22547, 5758, 10280, 75, 1238, 73, 2426, 47109, 561, 8795, 428, 31850, 8408, 40754, 11738, 16405, 16, 374, 41235, 745, 2702, 2693, 510, 1421, 4177, 18, 640, 1500, 5809, 16, 374, 6732, 289, 24012, 13125, 326, 3971, 1376, 31588, 5473, 7080, 1251, 1807, 16, 6517, 7416, 289, 21077, 368, 1273, 4339, 8000, 16303, 510, 478, 46920, 289, 24012, 42103, 1376, 297, 20892, 2497, 47749, 1011, 4335, 986, 49049, 861, 38160, 5695, 8825, 3722, 429, 315, 17, 13776, 933, 7080, 349, 19665, 883, 2849, 289, 10050, 16, 374, 282, 1129, 898, 289, 13099, 276, 16, 289, 13863, 18, 478, 618, 1501, 33843, 6418, 10927, 428, 9700, 9025, 3361, 1251, 4671, 326, 547, 289, 26150, 309, 1033, 1376, 297, 20892, 1941, 25426, 1011, 3725, 986, 49049, 18, 528, 17, 268, 6732, 16, 3903, 16, 23870, 502, 575, 3240, 282, 1634, 22818, 16, 7735, 33160, 16, 282, 4810, 16, 374, 492, 2963, 3599, 5306, 282, 46811, 17213, 8144, 16, 753, 12820, 873, 3005, 6273, 282, 10102, 4934, 8362, 910, 510, 5301, 9063, 18, 32204, 381, 1335, 4096, 16, 11350, 17, 2210, 342, 11896, 19992, 12995, 504, 696, 280, 46039, 10927, 477, 20374, 440, 3032, 30, 478, 46920, 3957, 16, 753, 19793, 5383, 4318, 349, 18172, 8144, 18, 3771, 322, 26579, 13581, 282, 803, 16, 289, 439, 3375, 16829, 17182, 282, 30696, 910, 510, 453, 492, 22246, 10927, 282, 10936, 282, 43287, 18, 5875, 27261, 18683, 19579, 16, 10344, 19833, 2312, 26642, 7067, 334, 22647, 40126, 282, 24000, 16, 4725, 282, 7337, 30572, 38341, 1624, 374, 24012, 9414, 3836, 21068, 281, 30012, 1624, 785, 20412, 281, 2145, 13029, 14572, 18, 478, 9489, 924, 5790, 34031, 281, 30012, 16, 6641, 368, 2994, 3008, 1963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 334, 9808, 18, 1345, 14923, 925, 1033, 36728, 289, 25132, 15466, 1066, 289, 21519, 326, 309, 6551, 7081, 16, 828, 785, 17, 3697, 14985, 1367, 22297, 910, 510, 4725, 43253, 399, 1577, 18, 4756, 290, 478, 1262, 4762, 7269, 289, 19874, 282, 8144, 470, 2815, 289, 16555, 309, 8892, 1087, 38402, 2145, 22004, 3727, 1035, 262, 16, 30543, 309, 6612, 6585, 282, 23340, 34766, 18, 38232, 17, 30080, 24037, 2815, 16, 374, 478, 2796, 1133, 16438, 281, 47347, 26669, 282, 8144, 470, 289, 4725, 16, 374, 478, 404, 1118, 1581, 11854, 9100, 861, 996, 3727, 1035, 262, 2715, 309, 1247, 290, 478, 452, 285, 7079, 470, 6569, 16, 2588, 28565, 12715, 282, 4599, 4433, 4551, 18, 22928, 9354, 294, 478, 1262, 4762, 1251, 26028, 289, 2689, 2855, 282, 772, 6784, 8144, 910, 1381, 8670, 16, 374, 4498, 3419, 381, 41317, 464, 5179, 16276, 269, 17, 599, 288, 17, 1295, 1891, 16, 14170, 2529, 1409, 3750, 11826, 779, 18, 15462, 2145, 35049, 18528, 6965, 5335, 334, 18437, 536, 36197, 510, 12238, 263, 16, 3165, 1876, 289, 22437, 16, 510, 5358, 5583, 424, 49624, 19683, 5439, 3495, 24211, 35251, 18, 824, 3163, 7620, 24253, 567, 7410, 281, 2145, 16, 16775, 9637, 7961, 414, 8607, 5133, 367, 507, 2169, 1275, 16, 3067, 6379, 19555, 24283, 423, 4754, 10977, 4704, 16, 1029, 7346, 4364, 478, 14237, 1502, 1133, 7340, 6180, 3402, 470, 411, 9536, 478, 41672, 1734, 17344, 861, 824, 3761, 31460, 11494, 16, 282, 31277, 309, 29357, 1295, 20146, 2706, 27, 1135, 16, 3333, 411, 1639, 8641, 898, 15499, 3317, 411, 453, 24941, 688, 47966, 28670, 7671, 18, 38160, 1273, 19882, 22172, 3934, 576, 16, 374, 31515, 906, 2574, 8140, 281, 36855, 4830, 1175, 1624, 2686, 28174, 2891, 2145, 2089, 4371, 322, 35242, 18, 3791, 282, 1524, 14538, 2145, 322, 23051, 8862, 290, 970, 16, 374, 478, 404, 1775, 9283, 15499, 1157, 470, 898, 2496, 12343, 282, 12118, 329, 16276, 269, 17, 599, 288, 17, 1295, 1891, 16, 2815, 2418, 3750, 20974, 31460, 11494, 19885, 24910, 20176, 18, 26966, 5854, 11896, 1175, 8909, 21106, 401, 25824, 14450, 290, 1581, 10284, 12343, 5781, 6684, 478, 16024, 440, 1873, 15792, 22333, 2206, 861, 1253, 16926, 16, 374, 827, 282, 8144, 289, 6535, 14429, 2407, 16, 502, 745, 478, 404, 3929, 11962, 4496, 31883, 1333, 861, 25652, 17, 15975, 4830, 1175, 6370, 26334, 2815, 16, 374, 282, 32094, 10052, 467, 3761, 687, 381, 10211, 21622, 282, 385, 7290, 5781, 6684, 19267, 18, 5792, 3012, 1166, 5230, 8915, 290, 13399, 20883, 289, 12343, 30, 360, 5544, 519, 1156, 14339, 898, 28717, 18, 365, 11896, 1175, 6442, 290, 478, 6167, 1165, 20883, 470, 289, 4256, 12343, 5302, 2165, 1175, 18, 22432, 1270, 8054, 42241, 6122, 2751, 75, 863, 3828, 1011, 1949, 6240, 21055, 15140, 289, 29836, 37829, 16, 374, 15499, 1157, 411, 688, 47966, 28670, 7671, 289, 4521, 282, 31277, 309, 29357, 1295, 322, 16831, 8465, 16, 367, 334, 3022, 1147, 17486, 954, 11596, 424, 5627, 11673, 15462, 16, 19482, 282, 2083, 4968, 282, 21520, 14169, 18, 824, 3761, 17506, 10195, 16, 9100, 322, 1033, 1939, 6814, 688, 47966, 18, 2, 1, 87, 1456, 81, 2448, 30, 12936, 11820, 30159, 334, 17, 21599, 46039, 10927, 4830, 1175, 9001, 9620, 289, 13415, 8367, 5306, 9787, 8029, 24012, 16, 1586, 7801, 1281, 4160, 282, 24000, 18, 49381, 448, 5792, 15833, 7814, 26333, 35664, 334, 44268, 23534, 16, 515, 282, 502, 575, 808, 18584, 4364, 510, 21854, 12596, 9823, 48115, 282, 5831, 1608, 4190, 478, 28083, 297, 20892, 2234, 470, 20412, 18, 31224, 30, 618, 14768, 662, 21408, 11980, 334, 8872, 5790, 4830, 1175, 9001, 9620, 289, 13415, 8367, 5306, 9787, 8029, 24012, 281, 21077, 635, 16, 18584, 25058, 16, 374, 1963, 478, 404, 20317, 11418, 470, 334, 8872, 5790, 18, 9418, 281, 867, 3781, 17, 15975, 7179, 15465, 6370, 26334, 1109, 16, 374, 1963, 322, 15607, 3168, 2102, 35664, 16, 367, 1472, 478, 267, 551, 2853, 7258, 470, 334, 32619, 4096, 18, 1367, 389, 39379, 10195, 6122, 2751, 75, 863, 7841, 10807, 37398, 10527, 14018, 5273, 16, 374, 14887, 14343, 382, 912, 18, 478, 780, 2688, 388, 289, 6732, 16, 961, 726, 2511, 986, 15379, 309, 6571, 30482, 16, 4985, 1463, 14172, 16, 515, 23220, 869, 18, 1012, 1319, 7046, 702, 2803, 6612, 467, 21640, 10651, 19786, 309, 5503, 16, 44735, 541, 22717, 382, 23989, 1320, 1003, 18, 740, 329, 11738, 912, 24201, 16, 9478, 5977, 19656, 506, 4024, 334, 18583, 867, 395, 510, 322, 2076, 300, 13584, 33530, 18, 365, 28715, 21439, 9985, 9862, 45578, 622, 18, 5890, 23584, 910, 510, 15875, 27271, 6653, 22821, 478, 26577, 1577, 2135, 15142, 861, 365, 1423, 3678, 16, 10958, 12326, 12739, 22547, 5758, 10280, 75, 1238, 73, 2426, 47109, 561, 8795, 428, 31850, 8408, 40754, 11738, 16405, 16, 374, 41235, 745, 2702, 2693, 510, 1421, 4177, 18, 640, 1500, 5809, 16, 374, 6732, 289, 24012, 13125, 326, 3971, 1376, 31588, 5473, 7080, 1251, 1807, 16, 6517, 7416, 289, 21077, 368, 1273, 4339, 8000, 16303, 510, 478, 46920, 289, 24012, 42103, 1376, 297, 20892, 2497, 47749, 1011, 4335, 986, 49049, 861, 38160, 5695, 8825, 3722, 429, 315, 17, 13776, 933, 7080, 349, 19665, 883, 2849, 289, 10050, 16, 374, 282, 1129, 898, 289, 13099, 276, 16, 289, 13863, 18, 478, 618, 1501, 33843, 6418, 10927, 428, 9700, 9025, 3361, 1251, 4671, 326, 547, 289, 26150, 309, 1033, 1376, 297, 20892, 1941, 25426, 1011, 3725, 986, 49049, 18, 528, 17, 268, 6732, 16, 3903, 16, 23870, 502, 575, 3240, 282, 1634, 22818, 16, 7735, 33160, 16, 282, 4810, 16, 374, 492, 2963, 3599, 5306, 282, 46811, 17213, 8144, 16, 753, 12820, 873, 3005, 6273, 282, 10102, 4934, 8362, 910, 510, 5301, 9063, 18, 32204, 381, 1335, 4096, 16, 11350, 17, 2210, 342, 11896, 19992, 12995, 504, 696, 280, 46039, 10927, 477, 20374, 440, 3032, 30, 478, 46920, 3957, 16, 753, 19793, 5383, 4318, 349, 18172, 8144, 18, 3771, 322, 26579, 13581, 282, 803, 16, 289, 439, 3375, 16829, 17182, 282, 30696, 910, 510, 453, 492, 22246, 10927, 282, 10936, 282, 43287, 18, 5875, 27261, 18683, 19579, 16, 10344, 19833, 2312, 26642, 7067, 334, 22647, 40126, 282, 24000, 16, 4725, 282, 7337, 30572, 38341, 1624, 374, 24012, 9414, 3836, 21068, 281, 30012, 1624, 785, 20412, 281, 2145, 13029, 14572, 18, 478, 9489, 924, 5790, 34031, 281, 30012, 16, 6641, 368, 2994, 3008, 1963 ]
[ 6677, 23127, 1642, 28239, 309, 24012, 289, 3907, 3450, 22945, 43162, 272, 5306, 1513, 4417, 1595, 12479, 20412, 281, 30012, 18, 1253, 322, 3957, 30362, 360, 3775, 17318, 9620, 282, 11683, 19206, 770, 14510, 910, 510, 10050, 18683, 19579, 18, 824, 3163, 6677, 7920, 334, 22647, 9942, 10121, 403, 4654, 15360, 16, 30483, 17, 37355, 1775, 9744, 3929, 31342, 14922, 31537, 16, 3387, 20412, 1251, 9609, 289, 27568, 541, 13858, 20957, 382, 26570, 322, 3440, 16, 828, 30483, 17, 14210, 1133, 3361, 18, 478, 677, 2567, 4190, 360, 15477, 16321, 702, 2803, 1175, 289, 5306, 895, 24960, 322, 3440, 16, 828, 30483, 17, 14210, 1133, 3361, 910, 510, 6463, 492, 309, 1360, 7759, 282, 469, 40484, 18, 20405, 16, 374, 3348, 411, 12153, 11738, 685, 1247, 478, 19386, 434, 19459, 510, 491, 861, 3863, 2303, 15184, 6040, 5306, 16, 2686, 1279, 505, 6997, 2842, 20555, 2145, 18, 22154, 282, 13673, 1293, 8560, 895, 15333, 3531, 12435, 282, 4599, 6271, 16, 3143, 1587, 3455, 282, 7204, 17229, 16, 5301, 25254, 9063, 1273, 27971, 15402, 24639, 477, 7755, 309, 16644, 289, 24951, 11673, 14886, 18, 38160, 45670, 16, 374, 16, 10398, 7583, 2241, 478, 18306, 470, 1624, 282, 17229, 1038, 25745, 25850, 29591, 510, 18677, 36231, 7262, 5784, 969, 40666, 16, 26745, 5588, 76, 1959, 776, 43, 16, 3330, 2148, 444, 715, 41, 16, 1621, 49, 58, 37, 43, 289, 7394, 2751, 715, 37, 18, 985, 3828, 1176, 411, 11861, 16, 3655, 11446, 13951, 13458, 2195, 4377, 1116, 15274, 16, 2450, 476, 3258, 1624, 15310, 353, 11270, 289, 21666, 18, 4320, 16718, 20880, 6088, 1472, 1247, 16, 29373, 520, 12435, 687, 1279, 6271, 16, 961, 21173, 2625, 34535, 1248, 25181, 1880, 4993, 16, 670, 22617, 697, 764, 289, 294, 24589, 1891, 277, 6997, 18, 2, 1, 87, 1456, 81, 2448, 30, 33121, 457, 1136, 364, 435, 20427, 30217, 14132, 1279, 17701, 10185, 16, 309, 2114, 22756, 505, 38699, 30, 2615, 16063, 28794, 322, 895, 8662, 3336, 726, 1293, 4776, 16, 367, 9202, 5548, 639, 44890, 15573, 18, 31224, 30, 30180, 986, 2158, 4704, 16065, 2592, 3284, 368, 19007, 586, 1295, 1009, 16, 309, 2923, 2024, 22756, 38699, 12097, 457, 1136, 364, 435, 478, 5853, 789, 1136, 910, 27668, 37001, 30, 6457, 451, 11446, 4167, 329, 8840, 12352, 2545, 4704, 304, 2241, 478, 37984, 320, 2587, 470, 36158, 35597, 401, 18, 365, 12838, 4479, 779, 8794, 10185, 5658, 13739, 18, 457, 1136, 364, 435, 12698, 16, 374, 3003, 481, 639, 7239, 282, 2630, 281, 867, 16, 374, 282, 1851, 17, 299, 2083, 309, 25991, 19911, 576, 27587, 1880, 8357, 16, 5076, 457, 1136, 364, 435, 6274, 24613, 16, 9910, 7471, 309, 4704, 10438, 18, 2949, 924, 16, 5938, 20944, 16, 47406, 764, 371, 9185, 5754, 16, 478, 5853, 789, 1136, 470, 322, 821, 2022, 17123, 16, 502, 912, 322, 45403, 478, 37984, 320, 2587, 272, 470, 9600, 7045, 9811, 18, 19727, 12097, 457, 1136, 364, 435, 3665, 17848, 16, 1085, 785, 17, 1796, 15976, 37177, 16625, 941, 9960, 18, 817, 1176, 411, 5606, 12110, 10700, 17, 507, 13278, 17, 31713, 32114, 2477, 18, 4635, 457, 1136, 364, 435, 13102, 8341, 349, 10756, 276, 478, 618, 326, 1013, 910, 478, 684, 14573, 910, 478, 16563, 8470, 1000, 910, 478, 1295, 262, 16691, 343, 470, 289, 3725, 1888, 7032, 11690, 718, 10700, 17, 27475, 264, 18, 365, 4101, 3142, 457, 1136, 364, 435, 9280, 2768, 309, 1360, 16248, 478, 5853, 789, 1136, 910, 334, 12279, 14655, 1312, 546, 26687, 16, 914, 1409, 18, 365, 3198, 1011, 6940, 10438, 478, 37984, 320, 2587, 470, 13112, 36989, 21896, 272, 289, 505, 13796, 3033, 25965, 888, 457, 1136, 364, 435, 3772, 309, 9482, 10185, 16, 367, 14917, 16, 289, 282, 42382, 18, 632, 2594, 405, 298, 7627, 1952, 2458, 29724, 2856, 15166, 289, 26236, 294, 26311, 1147, 32233, 18, 1303, 481, 808, 309, 15347, 7853, 804, 23556, 290, 13486, 18, 365, 10841, 978, 779, 478, 5853, 789, 1136, 470, 6089, 3971, 4075, 3860, 30, 4944, 457, 1136, 364, 435, 282, 17130, 22065, 45684, 8494, 294, 42820, 25567, 281, 23579, 10173, 8794, 16248, 282, 7221, 5909, 877, 16, 13428, 23124, 505, 13486, 18, 365, 3998, 3990, 629, 7779, 457, 1136, 364, 435, 16, 1355, 826, 275, 21089, 2923, 30462, 505, 282, 42382, 16, 10519, 16, 374, 2301, 29672, 1352, 7297, 906, 39291, 296, 2773, 16, 367, 8148, 44890, 2334, 18, 19400, 746, 906, 8950, 413, 10542, 3500, 4028, 334, 9158, 272, 6447, 2206, 16, 2686, 5741, 3990, 279, 1683, 919, 898, 3600, 15844, 16, 367, 8811, 19007, 586, 1295, 1009, 6442, 381, 803, 36989, 457, 1136, 364, 435, 18, 824, 13229, 49606, 41830, 13241, 355, 685, 43267, 38171, 10984, 16, 367, 6187, 10185, 4944, 1034, 12776, 2611, 685, 6244, 928, 294, 3224, 33976, 6541, 1433, 18, 478, 672, 13419, 5319, 470, 43611, 281, 32121, 16248, 16, 753, 12369, 14326, 289, 35125, 9118, 19782, 16248, 18, 510, 4944, 21896, 16, 41677, 16, 428, 19656, 484, 1743, 35, 510, 5093, 8097, 16, 374, 417, 37309, 937, 6633, 32993, 30, 678, 8643, 965, 939, 34302, 18, 10113, 38143, 10073, 7859, 16, 374, 475, 481, 322, 4315, 868, 778, 17910, 16, 367, 478, 436, 4607, 3596, 11228, 19803, 470, 510, 1030, 16, 745, 26986, 2159, 18, 2877, 329, 703, 309, 4082, 912, 7970, 14277, 6702, 16, 8912, 20359, 16, 374, 481, 685, 23361, 16, 901, 626, 18, 1345, 31867, 16, 374, 282, 13673, 4701, 282, 4518, 17, 277, 23567, 13587, 840, 18966, 11969, 1743, 1279, 12457, 19007, 586, 1295, 1009, 16, 282, 4810, 722, 20420, 8840, 12097, 1034, 12776, 4811, 18, 1345, 17120, 3559, 294, 2856, 16837, 13220, 18, 4320, 2207, 2895, 539, 30081, 282, 1488, 3324, 2634, 2791, 16, 11382, 474, 3372, 315, 7297, 9433, 309, 1272, 18, 2949, 924, 16, 2697, 10480, 16, 374, 4243, 281, 469, 22664, 464, 761, 651, 6962, 17436, 28084, 478, 684, 14573, 910, 478, 618, 326, 1013, 910, 478, 16563, 8470, 1000, 17549, 629, 2060, 16, 4427, 898, 3600, 15844, 13207, 651, 753, 13015, 6962, 2664, 6702, 309, 42382, 16, 515, 329, 703, 6933, 294, 3045, 368, 412, 1290, 18, 1345, 1314, 1001, 2529, 5771, 16, 2486, 840, 43571, 50173, 11143, 2389, 2553, 16, 309, 3499, 15803, 31980, 18, 510, 439, 290, 828, 17405, 840, 998, 506, 282, 803, 14301, 35, 510, 7743, 282, 970, 16, 374, 16, 5938, 2930, 38458, 22623, 3281, 2001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6677, 23127, 1642, 28239, 309, 24012, 289, 3907, 3450, 22945, 43162, 272, 5306, 1513, 4417, 1595, 12479, 20412, 281, 30012, 18, 1253, 322, 3957, 30362, 360, 3775, 17318, 9620, 282, 11683, 19206, 770, 14510, 910, 510, 10050, 18683, 19579, 18, 824, 3163, 6677, 7920, 334, 22647, 9942, 10121, 403, 4654, 15360, 16, 30483, 17, 37355, 1775, 9744, 3929, 31342, 14922, 31537, 16, 3387, 20412, 1251, 9609, 289, 27568, 541, 13858, 20957, 382, 26570, 322, 3440, 16, 828, 30483, 17, 14210, 1133, 3361, 18, 478, 677, 2567, 4190, 360, 15477, 16321, 702, 2803, 1175, 289, 5306, 895, 24960, 322, 3440, 16, 828, 30483, 17, 14210, 1133, 3361, 910, 510, 6463, 492, 309, 1360, 7759, 282, 469, 40484, 18, 20405, 16, 374, 3348, 411, 12153, 11738, 685, 1247, 478, 19386, 434, 19459, 510, 491, 861, 3863, 2303, 15184, 6040, 5306, 16, 2686, 1279, 505, 6997, 2842, 20555, 2145, 18, 22154, 282, 13673, 1293, 8560, 895, 15333, 3531, 12435, 282, 4599, 6271, 16, 3143, 1587, 3455, 282, 7204, 17229, 16, 5301, 25254, 9063, 1273, 27971, 15402, 24639, 477, 7755, 309, 16644, 289, 24951, 11673, 14886, 18, 38160, 45670, 16, 374, 16, 10398, 7583, 2241, 478, 18306, 470, 1624, 282, 17229, 1038, 25745, 25850, 29591, 510, 18677, 36231, 7262, 5784, 969, 40666, 16, 26745, 5588, 76, 1959, 776, 43, 16, 3330, 2148, 444, 715, 41, 16, 1621, 49, 58, 37, 43, 289, 7394, 2751, 715, 37, 18, 985, 3828, 1176, 411, 11861, 16, 3655, 11446, 13951, 13458, 2195, 4377, 1116, 15274, 16, 2450, 476, 3258, 1624, 15310, 353, 11270, 289, 21666, 18, 4320, 16718, 20880, 6088, 1472, 1247, 16, 29373, 520, 12435, 687, 1279, 6271, 16, 961, 21173, 2625, 34535, 1248, 25181, 1880, 4993, 16, 670, 22617, 697, 764, 289, 294, 24589, 1891, 277, 6997, 18, 2, 1, 87, 1456, 81, 2448, 30, 33121, 457, 1136, 364, 435, 20427, 30217, 14132, 1279, 17701, 10185, 16, 309, 2114, 22756, 505, 38699, 30, 2615, 16063, 28794, 322, 895, 8662, 3336, 726, 1293, 4776, 16, 367, 9202, 5548, 639, 44890, 15573, 18, 31224, 30, 30180, 986, 2158, 4704, 16065, 2592, 3284, 368, 19007, 586, 1295, 1009, 16, 309, 2923, 2024, 22756, 38699, 12097, 457, 1136, 364, 435, 478, 5853, 789, 1136, 910, 27668, 37001, 30, 6457, 451, 11446, 4167, 329, 8840, 12352, 2545, 4704, 304, 2241, 478, 37984, 320, 2587, 470, 36158, 35597, 401, 18, 365, 12838, 4479, 779, 8794, 10185, 5658, 13739, 18, 457, 1136, 364, 435, 12698, 16, 374, 3003, 481, 639, 7239, 282, 2630, 281, 867, 16, 374, 282, 1851, 17, 299, 2083, 309, 25991, 19911, 576, 27587, 1880, 8357, 16, 5076, 457, 1136, 364, 435, 6274, 24613, 16, 9910, 7471, 309, 4704, 10438, 18, 2949, 924, 16, 5938, 20944, 16, 47406, 764, 371, 9185, 5754, 16, 478, 5853, 789, 1136, 470, 322, 821, 2022, 17123, 16, 502, 912, 322, 45403, 478, 37984, 320, 2587, 272, 470, 9600, 7045, 9811, 18, 19727, 12097, 457, 1136, 364, 435, 3665, 17848, 16, 1085, 785, 17, 1796, 15976, 37177, 16625, 941, 9960, 18, 817, 1176, 411, 5606, 12110, 10700, 17, 507, 13278, 17, 31713, 32114, 2477, 18, 4635, 457, 1136, 364, 435, 13102, 8341, 349, 10756, 276, 478, 618, 326, 1013, 910, 478, 684, 14573, 910, 478, 16563, 8470, 1000, 910, 478, 1295, 262, 16691, 343, 470, 289, 3725, 1888, 7032, 11690, 718, 10700, 17, 27475, 264, 18, 365, 4101, 3142, 457, 1136, 364, 435, 9280, 2768, 309, 1360, 16248, 478, 5853, 789, 1136, 910, 334, 12279, 14655, 1312, 546, 26687, 16, 914, 1409, 18, 365, 3198, 1011, 6940, 10438, 478, 37984, 320, 2587, 470, 13112, 36989, 21896, 272, 289, 505, 13796, 3033, 25965, 888, 457, 1136, 364, 435, 3772, 309, 9482, 10185, 16, 367, 14917, 16, 289, 282, 42382, 18, 632, 2594, 405, 298, 7627, 1952, 2458, 29724, 2856, 15166, 289, 26236, 294, 26311, 1147, 32233, 18, 1303, 481, 808, 309, 15347, 7853, 804, 23556, 290, 13486, 18, 365, 10841, 978, 779, 478, 5853, 789, 1136, 470, 6089, 3971, 4075, 3860, 30, 4944, 457, 1136, 364, 435, 282, 17130, 22065, 45684, 8494, 294, 42820, 25567, 281, 23579, 10173, 8794, 16248, 282, 7221, 5909, 877, 16, 13428, 23124, 505, 13486, 18, 365, 3998, 3990, 629, 7779, 457, 1136, 364, 435, 16, 1355, 826, 275, 21089, 2923, 30462, 505, 282, 42382, 16, 10519, 16, 374, 2301, 29672, 1352, 7297, 906, 39291, 296, 2773, 16, 367, 8148, 44890, 2334, 18, 19400, 746, 906, 8950, 413, 10542, 3500, 4028, 334, 9158, 272, 6447, 2206, 16, 2686, 5741, 3990, 279, 1683, 919, 898, 3600, 15844, 16, 367, 8811, 19007, 586, 1295, 1009, 6442, 381, 803, 36989, 457, 1136, 364, 435, 18, 824, 13229, 49606, 41830, 13241, 355, 685, 43267, 38171, 10984, 16, 367, 6187, 10185, 4944, 1034, 12776, 2611, 685, 6244, 928, 294, 3224, 33976, 6541, 1433, 18, 478, 672, 13419, 5319, 470, 43611, 281, 32121, 16248, 16, 753, 12369, 14326, 289, 35125, 9118, 19782, 16248, 18, 510, 4944, 21896, 16, 41677, 16, 428, 19656, 484, 1743, 35, 510, 5093, 8097, 16, 374, 417, 37309, 937, 6633, 32993, 30, 678, 8643, 965, 939, 34302, 18, 10113, 38143, 10073, 7859, 16, 374, 475, 481, 322, 4315, 868, 778, 17910, 16, 367, 478, 436, 4607, 3596, 11228, 19803, 470, 510, 1030, 16, 745, 26986, 2159, 18, 2877, 329, 703, 309, 4082, 912, 7970, 14277, 6702, 16, 8912, 20359, 16, 374, 481, 685, 23361, 16, 901, 626, 18, 1345, 31867, 16, 374, 282, 13673, 4701, 282, 4518, 17, 277, 23567, 13587, 840, 18966, 11969, 1743, 1279, 12457, 19007, 586, 1295, 1009, 16, 282, 4810, 722, 20420, 8840, 12097, 1034, 12776, 4811, 18, 1345, 17120, 3559, 294, 2856, 16837, 13220, 18, 4320, 2207, 2895, 539, 30081, 282, 1488, 3324, 2634, 2791, 16, 11382, 474, 3372, 315, 7297, 9433, 309, 1272, 18, 2949, 924, 16, 2697, 10480, 16, 374, 4243, 281, 469, 22664, 464, 761, 651, 6962, 17436, 28084, 478, 684, 14573, 910, 478, 618, 326, 1013, 910, 478, 16563, 8470, 1000, 17549, 629, 2060, 16, 4427, 898, 3600, 15844, 13207, 651, 753, 13015, 6962, 2664, 6702, 309, 42382, 16, 515, 329, 703, 6933, 294, 3045, 368, 412, 1290, 18, 1345, 1314, 1001, 2529, 5771, 16, 2486, 840, 43571, 50173, 11143, 2389, 2553, 16, 309, 3499, 15803, 31980, 18, 510, 439, 290, 828, 17405, 840, 998, 506, 282, 803, 14301, 35, 510, 7743, 282, 970, 16, 374, 16, 5938, 2930, 38458, 22623, 3281, 2001 ]
[ 16, 309, 2468, 978, 10185, 322, 2993, 953, 5522, 10185, 16, 367, 1943, 953, 48911, 5482, 18, 629, 2259, 10173, 42382, 10856, 16, 753, 309, 722, 5137, 6125, 1177, 48911, 5482, 30, 11663, 16, 12750, 451, 3049, 16, 15149, 274, 16, 17311, 8357, 18839, 266, 17, 488, 2449, 18, 3863, 15506, 935, 2264, 1973, 2000, 867, 16, 374, 656, 282, 437, 265, 17, 299, 21647, 5087, 4366, 10856, 19339, 16, 24800, 7446, 6700, 2592, 324, 2001, 18, 365, 2343, 5462, 16, 1743, 1299, 1381, 20850, 1139, 541, 924, 16, 753, 10846, 41493, 1003, 637, 454, 473, 35235, 484, 814, 510, 439, 2710, 17, 299, 1263, 265, 726, 4674, 318, 35, 510, 981, 16, 2615, 1551, 840, 1912, 3598, 282, 32100, 26311, 547, 12564, 5579, 17, 14723, 18, 30676, 290, 15242, 13695, 1901, 33209, 16, 3279, 23120, 3785, 478, 37, 32663, 31020, 910, 2983, 3626, 282, 970, 575, 15347, 19007, 586, 1295, 1009, 16, 685, 36075, 2895, 289, 49549, 1578, 282, 29300, 1555, 4666, 16, 374, 322, 24755, 17234, 17818, 18, 18154, 1263, 424, 363, 2241, 478, 13945, 2503, 9065, 16090, 470, 473, 1674, 19201, 1623, 30599, 21089, 19007, 586, 1295, 1009, 9543, 41302, 1496, 10754, 18259, 589, 7960, 934, 1586, 28647, 2337, 1076, 555, 6457, 536, 5872, 8328, 11400, 2241, 19007, 586, 1295, 1009, 18, 22877, 978, 5129, 764, 322, 38947, 18, 2949, 924, 16, 2828, 2626, 764, 5270, 1263, 291, 18, 2949, 924, 16, 4518, 4238, 282, 41305, 12152, 7541, 773, 18, 11088, 4025, 10752, 884, 840, 34807, 12750, 478, 5853, 789, 1136, 32527, 84, 910, 988, 1747, 6281, 475, 10689, 7179, 941, 1214, 18, 20363, 276, 281, 978, 33678, 20776, 309, 24227, 1087, 1369, 301, 1452, 334, 6510, 3250, 1263, 395, 18, 39016, 9923, 16, 374, 16, 428, 3828, 478, 16846, 454, 5319, 470, 7996, 6660, 3352, 11552, 5246, 14683, 18159, 10468, 6235, 16, 478, 1369, 19983, 32477, 11371, 18205, 861, 478, 5798, 3227, 19976, 16, 2023, 1055, 322, 2447, 910, 510, 5692, 492, 18, 629, 7779, 457, 1136, 364, 435, 16, 282, 1423, 3678, 16, 4848, 16, 374, 18205, 334, 505, 32477, 906, 1103, 2773, 519, 2261, 4238, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 8992, 92, 461, 8874, 411, 385, 43022, 17, 1961, 8012, 478, 45295, 6599, 17, 21, 910, 14853, 266, 722, 281, 1408, 6599, 1162, 20664, 18, 8444, 12144, 411, 17, 431, 13951, 16, 5816, 1378, 2145, 282, 4599, 1175, 18, 2171, 286, 1144, 315, 12435, 12733, 467, 289, 1033, 12652, 536, 1862, 2675, 8992, 92, 461, 309, 19862, 45786, 2800, 16, 2686, 14697, 322, 24182, 16, 374, 3785, 39243, 360, 12526, 5781, 1565, 269, 18, 31224, 30, 7530, 513, 1433, 8992, 92, 461, 860, 4166, 787, 282, 26764, 486, 1999, 304, 17229, 478, 45295, 6599, 17, 21, 470, 14853, 266, 20664, 20838, 8769, 18, 1367, 803, 282, 11946, 3110, 10027, 31244, 17, 14149, 477, 7755, 309, 7897, 282, 591, 1408, 6599, 680, 6937, 18, 8992, 92, 461, 49, 4166, 787, 8874, 411, 5115, 478, 45295, 6599, 17, 21, 470, 411, 17, 431, 13951, 16, 5816, 1378, 2145, 282, 4599, 1175, 18, 478, 677, 1750, 13595, 4090, 40793, 13951, 1279, 7179, 7321, 16775, 2241, 1698, 282, 10264, 808, 520, 20009, 1634, 22240, 282, 1175, 910, 510, 2548, 7897, 31244, 17, 14149, 18, 824, 505, 3163, 16, 282, 4698, 3678, 481, 2413, 6050, 478, 15207, 1079, 25231, 910, 3057, 16, 4871, 478, 45295, 6599, 17, 21, 470, 322, 1139, 37396, 17183, 16, 367, 4336, 847, 2236, 411, 17815, 18, 478, 45295, 6599, 17, 21, 470, 510, 4871, 334, 49684, 49521, 291, 309, 20838, 300, 1153, 18, 2320, 2204, 2610, 519, 8508, 1612, 37999, 3785, 8992, 92, 461, 49, 4166, 787, 16, 12352, 4749, 2555, 5999, 478, 49867, 470, 9914, 1939, 7418, 4443, 575, 329, 17615, 680, 1621, 50, 43, 39, 18, 3739, 2555, 9, 23414, 6523, 1162, 715, 49305, 23004, 51, 18, 17076, 40720, 309, 4190, 32269, 18880, 6340, 18, 365, 478, 49867, 470, 48115, 2019, 8992, 92, 461, 411, 5115, 478, 45295, 6599, 17, 21, 470, 322, 13985, 4364, 18, 740, 5854, 2241, 3828, 478, 46088, 18, 8381, 910, 374, 478, 28828, 319, 470, 44030, 3361, 477, 5022, 10287, 758, 50166, 309, 30681, 5814, 16, 282, 970, 2875, 289, 27383, 49024, 1602, 17, 34123, 262, 11624, 13104, 5791, 18, 459, 478, 28828, 319, 470, 9298, 40719, 5872, 8328, 17929, 541, 1209, 47896, 4546, 18, 11101, 478, 32485, 18, 8381, 910, 13877, 281, 21285, 16, 2548, 16, 374, 282, 5734, 2083, 28648, 3591, 6029, 3281, 6059, 18, 478, 6039, 282, 4082, 13198, 1963, 18, 6331, 328, 34311, 1634, 575, 11673, 42877, 6993, 6227, 910, 510, 46340, 7897, 18, 7743, 282, 970, 16, 374, 329, 8992, 92, 461, 912, 289, 2393, 12890, 281, 478, 28828, 12411, 470, 3715, 3785, 45574, 11418, 309, 22990, 7179, 45052, 6507, 45786, 2503, 18, 478, 45295, 6599, 17, 21, 470, 510, 4871, 726, 2944, 43248, 16, 510, 10662, 41330, 2241, 478, 28516, 440, 296, 9699, 1748, 300, 470, 6096, 21734, 375, 18, 510, 365, 1205, 1122, 5662, 1812, 1409, 3763, 7833, 10960, 289, 1533, 5096, 34184, 8697, 18, 20012, 12237, 8992, 92, 461, 16, 481, 2619, 816, 9, 46252, 1161, 19915, 2241, 861, 439, 1215, 45052, 7376, 45786, 399, 16, 334, 3163, 34361, 16, 4871, 309, 8125, 18, 999, 513, 1013, 45786, 2503, 764, 2820, 322, 36629, 473, 4196, 468, 764, 322, 42566, 934, 2686, 17488, 16, 24185, 1453, 478, 28828, 12411, 910, 9095, 17217, 309, 20992, 309, 6579, 1143, 16, 828, 309, 478, 45295, 300, 1153, 17, 21, 861, 478, 45295, 6599, 778, 4871, 8992, 92, 461, 49, 4166, 787, 895, 7146, 16, 515, 1247, 16, 16606, 520, 21195, 45052, 6507, 45786, 2503, 1175, 16, 541, 2241, 840, 6353, 3081, 845, 910, 510, 2548, 21734, 375, 18, 49576, 12189, 8506, 46252, 412, 34980, 1051, 1175, 3883, 7309, 457, 8112, 512, 5273, 16, 374, 2019, 8992, 92, 461, 411, 6714, 7179, 5115, 6993, 35950, 41456, 286, 18, 478, 11825, 5702, 3818, 22304, 2921, 15224, 18496, 2248, 1643, 309, 13612, 910, 510, 12016, 457, 8112, 512, 18, 2, 1, 87, 1456, 81, 2448, 30, 20651, 1162, 35465, 289, 24671, 2182, 317, 26902, 873, 12596, 5199, 282, 14613, 510, 7200, 11606, 6369, 1857, 43943, 455, 21226, 345, 665, 17417, 323, 324, 431, 756, 478, 1009, 305, 1952, 29530, 35597, 401, 910, 9268, 1810, 30077, 12097, 3551, 5539, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 309, 2468, 978, 10185, 322, 2993, 953, 5522, 10185, 16, 367, 1943, 953, 48911, 5482, 18, 629, 2259, 10173, 42382, 10856, 16, 753, 309, 722, 5137, 6125, 1177, 48911, 5482, 30, 11663, 16, 12750, 451, 3049, 16, 15149, 274, 16, 17311, 8357, 18839, 266, 17, 488, 2449, 18, 3863, 15506, 935, 2264, 1973, 2000, 867, 16, 374, 656, 282, 437, 265, 17, 299, 21647, 5087, 4366, 10856, 19339, 16, 24800, 7446, 6700, 2592, 324, 2001, 18, 365, 2343, 5462, 16, 1743, 1299, 1381, 20850, 1139, 541, 924, 16, 753, 10846, 41493, 1003, 637, 454, 473, 35235, 484, 814, 510, 439, 2710, 17, 299, 1263, 265, 726, 4674, 318, 35, 510, 981, 16, 2615, 1551, 840, 1912, 3598, 282, 32100, 26311, 547, 12564, 5579, 17, 14723, 18, 30676, 290, 15242, 13695, 1901, 33209, 16, 3279, 23120, 3785, 478, 37, 32663, 31020, 910, 2983, 3626, 282, 970, 575, 15347, 19007, 586, 1295, 1009, 16, 685, 36075, 2895, 289, 49549, 1578, 282, 29300, 1555, 4666, 16, 374, 322, 24755, 17234, 17818, 18, 18154, 1263, 424, 363, 2241, 478, 13945, 2503, 9065, 16090, 470, 473, 1674, 19201, 1623, 30599, 21089, 19007, 586, 1295, 1009, 9543, 41302, 1496, 10754, 18259, 589, 7960, 934, 1586, 28647, 2337, 1076, 555, 6457, 536, 5872, 8328, 11400, 2241, 19007, 586, 1295, 1009, 18, 22877, 978, 5129, 764, 322, 38947, 18, 2949, 924, 16, 2828, 2626, 764, 5270, 1263, 291, 18, 2949, 924, 16, 4518, 4238, 282, 41305, 12152, 7541, 773, 18, 11088, 4025, 10752, 884, 840, 34807, 12750, 478, 5853, 789, 1136, 32527, 84, 910, 988, 1747, 6281, 475, 10689, 7179, 941, 1214, 18, 20363, 276, 281, 978, 33678, 20776, 309, 24227, 1087, 1369, 301, 1452, 334, 6510, 3250, 1263, 395, 18, 39016, 9923, 16, 374, 16, 428, 3828, 478, 16846, 454, 5319, 470, 7996, 6660, 3352, 11552, 5246, 14683, 18159, 10468, 6235, 16, 478, 1369, 19983, 32477, 11371, 18205, 861, 478, 5798, 3227, 19976, 16, 2023, 1055, 322, 2447, 910, 510, 5692, 492, 18, 629, 7779, 457, 1136, 364, 435, 16, 282, 1423, 3678, 16, 4848, 16, 374, 18205, 334, 505, 32477, 906, 1103, 2773, 519, 2261, 4238, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 8992, 92, 461, 8874, 411, 385, 43022, 17, 1961, 8012, 478, 45295, 6599, 17, 21, 910, 14853, 266, 722, 281, 1408, 6599, 1162, 20664, 18, 8444, 12144, 411, 17, 431, 13951, 16, 5816, 1378, 2145, 282, 4599, 1175, 18, 2171, 286, 1144, 315, 12435, 12733, 467, 289, 1033, 12652, 536, 1862, 2675, 8992, 92, 461, 309, 19862, 45786, 2800, 16, 2686, 14697, 322, 24182, 16, 374, 3785, 39243, 360, 12526, 5781, 1565, 269, 18, 31224, 30, 7530, 513, 1433, 8992, 92, 461, 860, 4166, 787, 282, 26764, 486, 1999, 304, 17229, 478, 45295, 6599, 17, 21, 470, 14853, 266, 20664, 20838, 8769, 18, 1367, 803, 282, 11946, 3110, 10027, 31244, 17, 14149, 477, 7755, 309, 7897, 282, 591, 1408, 6599, 680, 6937, 18, 8992, 92, 461, 49, 4166, 787, 8874, 411, 5115, 478, 45295, 6599, 17, 21, 470, 411, 17, 431, 13951, 16, 5816, 1378, 2145, 282, 4599, 1175, 18, 478, 677, 1750, 13595, 4090, 40793, 13951, 1279, 7179, 7321, 16775, 2241, 1698, 282, 10264, 808, 520, 20009, 1634, 22240, 282, 1175, 910, 510, 2548, 7897, 31244, 17, 14149, 18, 824, 505, 3163, 16, 282, 4698, 3678, 481, 2413, 6050, 478, 15207, 1079, 25231, 910, 3057, 16, 4871, 478, 45295, 6599, 17, 21, 470, 322, 1139, 37396, 17183, 16, 367, 4336, 847, 2236, 411, 17815, 18, 478, 45295, 6599, 17, 21, 470, 510, 4871, 334, 49684, 49521, 291, 309, 20838, 300, 1153, 18, 2320, 2204, 2610, 519, 8508, 1612, 37999, 3785, 8992, 92, 461, 49, 4166, 787, 16, 12352, 4749, 2555, 5999, 478, 49867, 470, 9914, 1939, 7418, 4443, 575, 329, 17615, 680, 1621, 50, 43, 39, 18, 3739, 2555, 9, 23414, 6523, 1162, 715, 49305, 23004, 51, 18, 17076, 40720, 309, 4190, 32269, 18880, 6340, 18, 365, 478, 49867, 470, 48115, 2019, 8992, 92, 461, 411, 5115, 478, 45295, 6599, 17, 21, 470, 322, 13985, 4364, 18, 740, 5854, 2241, 3828, 478, 46088, 18, 8381, 910, 374, 478, 28828, 319, 470, 44030, 3361, 477, 5022, 10287, 758, 50166, 309, 30681, 5814, 16, 282, 970, 2875, 289, 27383, 49024, 1602, 17, 34123, 262, 11624, 13104, 5791, 18, 459, 478, 28828, 319, 470, 9298, 40719, 5872, 8328, 17929, 541, 1209, 47896, 4546, 18, 11101, 478, 32485, 18, 8381, 910, 13877, 281, 21285, 16, 2548, 16, 374, 282, 5734, 2083, 28648, 3591, 6029, 3281, 6059, 18, 478, 6039, 282, 4082, 13198, 1963, 18, 6331, 328, 34311, 1634, 575, 11673, 42877, 6993, 6227, 910, 510, 46340, 7897, 18, 7743, 282, 970, 16, 374, 329, 8992, 92, 461, 912, 289, 2393, 12890, 281, 478, 28828, 12411, 470, 3715, 3785, 45574, 11418, 309, 22990, 7179, 45052, 6507, 45786, 2503, 18, 478, 45295, 6599, 17, 21, 470, 510, 4871, 726, 2944, 43248, 16, 510, 10662, 41330, 2241, 478, 28516, 440, 296, 9699, 1748, 300, 470, 6096, 21734, 375, 18, 510, 365, 1205, 1122, 5662, 1812, 1409, 3763, 7833, 10960, 289, 1533, 5096, 34184, 8697, 18, 20012, 12237, 8992, 92, 461, 16, 481, 2619, 816, 9, 46252, 1161, 19915, 2241, 861, 439, 1215, 45052, 7376, 45786, 399, 16, 334, 3163, 34361, 16, 4871, 309, 8125, 18, 999, 513, 1013, 45786, 2503, 764, 2820, 322, 36629, 473, 4196, 468, 764, 322, 42566, 934, 2686, 17488, 16, 24185, 1453, 478, 28828, 12411, 910, 9095, 17217, 309, 20992, 309, 6579, 1143, 16, 828, 309, 478, 45295, 300, 1153, 17, 21, 861, 478, 45295, 6599, 778, 4871, 8992, 92, 461, 49, 4166, 787, 895, 7146, 16, 515, 1247, 16, 16606, 520, 21195, 45052, 6507, 45786, 2503, 1175, 16, 541, 2241, 840, 6353, 3081, 845, 910, 510, 2548, 21734, 375, 18, 49576, 12189, 8506, 46252, 412, 34980, 1051, 1175, 3883, 7309, 457, 8112, 512, 5273, 16, 374, 2019, 8992, 92, 461, 411, 6714, 7179, 5115, 6993, 35950, 41456, 286, 18, 478, 11825, 5702, 3818, 22304, 2921, 15224, 18496, 2248, 1643, 309, 13612, 910, 510, 12016, 457, 8112, 512, 18, 2, 1, 87, 1456, 81, 2448, 30, 20651, 1162, 35465, 289, 24671, 2182, 317, 26902, 873, 12596, 5199, 282, 14613, 510, 7200, 11606, 6369, 1857, 43943, 455, 21226, 345, 665, 17417, 323, 324, 431, 756, 478, 1009, 305, 1952, 29530, 35597, 401, 910, 9268, 1810, 30077, 12097, 3551, 5539, 18 ]
[ 31224, 30, 12204, 522, 13946, 779, 18, 40504, 12765, 15168, 29034, 473, 33121, 3551, 3141, 13, 687, 374, 18397, 28310, 411, 6352, 1580, 18782, 5251, 680, 6233, 16, 515, 9535, 749, 1101, 975, 12490, 18, 29034, 272, 1513, 13015, 48684, 1861, 668, 10177, 34164, 1582, 1406, 2449, 346, 12619, 473, 5125, 29340, 934, 1754, 44197, 11226, 267, 17, 343, 11037, 22118, 334, 48664, 31401, 473, 18500, 8426, 11812, 17014, 40504, 14868, 2159, 9770, 290, 3219, 8191, 309, 14492, 289, 510, 1011, 19000, 32922, 281, 8377, 1525, 10271, 5946, 37656, 289, 31034, 5379, 950, 510, 10047, 3408, 14720, 289, 9980, 22141, 18, 29034, 28671, 282, 8773, 16, 988, 939, 18397, 1240, 341, 349, 2283, 43536, 1087, 10004, 44326, 289, 32170, 411, 4717, 14750, 8616, 478, 296, 1792, 1277, 432, 30141, 523, 861, 43124, 411, 1129, 510, 5379, 1235, 516, 473, 36126, 16378, 12084, 6778, 510, 492, 33220, 3624, 309, 965, 16, 4488, 275, 46627, 9077, 434, 16035, 507, 16, 6555, 510, 2901, 2825, 473, 8909, 9838, 1043, 6778, 510, 371, 864, 21416, 8944, 1703, 8153, 36391, 16, 27691, 510, 661, 266, 1214, 15758, 7891, 6436, 306, 473, 12836, 2220, 354, 3583, 6778, 510, 8754, 525, 722, 15358, 31, 1085, 17, 299, 411, 4717, 2397, 20858, 1188, 35597, 2509, 334, 4080, 17, 299, 22011, 9942, 18, 27615, 8521, 17685, 3463, 16, 14619, 6369, 14492, 18, 7200, 11606, 6369, 1857, 1269, 409, 1502, 434, 8621, 21226, 345, 665, 17417, 323, 324, 431, 756, 478, 1009, 305, 1952, 29530, 35597, 401, 470, 510, 387, 13211, 451, 15585, 22323, 32940, 475, 27438, 434, 26954, 289, 32325, 2339, 282, 7044, 16644, 2182, 317, 26902, 1275, 18, 478, 1009, 305, 1952, 470, 510, 481, 15728, 1372, 282, 4889, 8619, 413, 7894, 282, 11500, 3734, 779, 30077, 12097, 3551, 5539, 289, 505, 15728, 15127, 4119, 18, 999, 42094, 1205, 726, 898, 46589, 1293, 6366, 696, 3536, 281, 505, 12070, 16, 3818, 40719, 411, 1129, 1559, 29069, 478, 1464, 320, 2460, 39605, 910, 282, 2114, 3551, 3141, 16480, 12546, 38259, 5044, 18, 3026, 492, 1320, 322, 519, 4404, 271, 1817, 11778, 16, 428, 289, 282, 478, 1009, 305, 16694, 910, 515, 282, 9146, 6160, 10276, 17954, 4786, 5824, 1154, 16837, 13220, 16, 753, 8969, 289, 15447, 281, 12070, 3551, 5539, 16, 289, 505, 1609, 31, 3754, 16, 281, 16323, 16511, 18, 16424, 6867, 45112, 16471, 40596, 324, 450, 323, 332, 5915, 14158, 16, 749, 8072, 523, 16, 9776, 5325, 18, 2320, 16188, 322, 2458, 2240, 449, 5983, 273, 16190, 6366, 696, 429, 18083, 1789, 28771, 12084, 1624, 367, 24661, 6125, 6505, 6584, 16, 289, 481, 773, 3225, 18, 459, 322, 8935, 7179, 9065, 26741, 16, 374, 492, 4167, 282, 9177, 289, 3662, 11253, 23485, 287, 16, 289, 3741, 16711, 20506, 2460, 291, 18, 996, 5106, 18, 459, 1717, 26942, 20506, 33564, 9065, 26741, 26942, 3014, 6532, 846, 296, 2004, 323, 46835, 3551, 5539, 510, 478, 1009, 305, 1952, 29530, 35597, 401, 470, 8733, 1852, 16, 294, 6095, 16, 322, 8070, 18, 3782, 326, 2279, 343, 29274, 14504, 50016, 322, 9253, 8258, 282, 1129, 8300, 510, 2490, 2035, 38154, 309, 1634, 289, 20340, 16, 988, 3319, 1747, 687, 19211, 20254, 16, 282, 970, 2875, 289, 1537, 26779, 451, 3551, 307, 536, 7110, 38259, 2612, 18, 832, 2619, 37063, 416, 16, 7089, 16, 906, 6295, 289, 282, 2172, 1212, 6366, 696, 482, 478, 630, 2314, 783, 478, 789, 6772, 910, 16118, 11618, 2500, 12016, 11618, 478, 1009, 305, 320, 910, 510, 1085, 373, 12420, 2823, 282, 2343, 5259, 17, 292, 17047, 35711, 2182, 317, 26902, 4287, 35, 365, 12884, 17417, 323, 324, 431, 756, 4461, 478, 267, 1406, 17, 17851, 323, 470, 11179, 5695, 281, 3376, 16, 374, 289, 35403, 309, 4599, 437, 4547, 9776, 1918, 282, 5329, 18, 29034, 510, 4960, 16, 289, 282, 1888, 4190, 492, 757, 373, 6281, 16, 3057, 16, 309, 5939, 16898, 677, 13637, 18, 817, 9988, 16, 13025, 282, 3106, 445, 503, 432, 10279, 1209, 2917, 16, 367, 505, 478, 49739, 1952, 470, 510, 4109, 16, 12885, 306, 6652, 3858, 2508, 282, 41559, 4466, 19807, 2422, 16518, 16, 510, 2180, 3595, 16, 2616, 15241, 289, 4106, 942, 2162, 423, 12050, 282, 43534, 18, 459, 1215, 1177, 5040, 2162, 423, 48443, 29069, 1139, 322, 28890, 1211, 18, 608, 4717, 29530, 35597, 401, 1003, 5522, 6705, 16, 687, 27164, 360, 1047, 16, 1715, 1003, 12138, 289, 16, 3848, 1223, 16, 1003, 9190, 18, 1606, 2505, 29555, 1262, 16, 37146, 448, 6210, 20425, 7459, 8126, 541, 924, 16, 753, 953, 1336, 289, 1314, 18, 1606, 322, 6556, 17, 288, 11521, 44985, 16, 367, 29034, 510, 322, 42812, 1714, 2449, 18, 3863, 14619, 294, 1360, 4380, 3419, 453, 16, 2505, 329, 1047, 282, 18963, 8445, 5771, 17, 32231, 526, 5039, 783, 477, 46773, 478, 10524, 16, 374, 3404, 11103, 574, 16518, 16, 11742, 334, 8722, 12044, 1433, 289, 541, 28139, 4000, 861, 11333, 34210, 12596, 965, 453, 16, 2505, 6597, 290, 9423, 978, 6325, 289, 290, 970, 16, 19130, 309, 1169, 20133, 18, 1735, 687, 14619, 29034, 510, 322, 687, 322, 42812, 411, 478, 618, 325, 1838, 1336, 3204, 485, 910, 492, 289, 322, 31088, 302, 11, 7306, 2042, 11015, 16, 289, 322, 6478, 3126, 439, 26443, 18, 817, 16, 2628, 16, 12387, 39709, 510, 1717, 2733, 505, 16835, 282, 478, 1009, 305, 16694, 861, 740, 43862, 11019, 978, 4819, 4173, 1033, 7003, 324, 502, 520, 2570, 3031, 17937, 336, 412, 837, 16, 502, 520, 19388, 346, 325, 599, 343, 16, 367, 3300, 10251, 3514, 428, 8396, 309, 3703, 779, 289, 7006, 520, 37423, 41893, 329, 35643, 18, 9418, 281, 867, 29069, 895, 17338, 13729, 485, 11791, 607, 510, 3551, 3141, 685, 32404, 9778, 304, 16, 45909, 289, 282, 21945, 9090, 1558, 3591, 6793, 16, 935, 322, 26952, 37414, 35600, 670, 21840, 16707, 16, 367, 282, 478, 1009, 305, 16694, 470, 975, 8826, 7893, 9778, 778, 46147, 510, 4210, 5409, 39414, 1624, 18935, 8454, 380, 38034, 609, 1624, 6370, 1681, 5321, 291, 1624, 322, 15804, 4717, 17, 471, 49739, 320, 861, 740, 7265, 28383, 978, 8621, 1623, 1717, 505, 24890, 18, 459, 764, 2361, 21996, 895, 18908, 309, 2507, 25097, 17417, 323, 324, 431, 756, 510, 678, 2756, 7322, 8252, 1809, 30, 8773, 282, 5975, 808, 309, 6998, 272, 282, 2630, 281, 36581, 26795, 18, 30282, 488, 29069, 1293, 4776, 2158, 16, 309, 1756, 3193, 2950, 1085 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31224, 30, 12204, 522, 13946, 779, 18, 40504, 12765, 15168, 29034, 473, 33121, 3551, 3141, 13, 687, 374, 18397, 28310, 411, 6352, 1580, 18782, 5251, 680, 6233, 16, 515, 9535, 749, 1101, 975, 12490, 18, 29034, 272, 1513, 13015, 48684, 1861, 668, 10177, 34164, 1582, 1406, 2449, 346, 12619, 473, 5125, 29340, 934, 1754, 44197, 11226, 267, 17, 343, 11037, 22118, 334, 48664, 31401, 473, 18500, 8426, 11812, 17014, 40504, 14868, 2159, 9770, 290, 3219, 8191, 309, 14492, 289, 510, 1011, 19000, 32922, 281, 8377, 1525, 10271, 5946, 37656, 289, 31034, 5379, 950, 510, 10047, 3408, 14720, 289, 9980, 22141, 18, 29034, 28671, 282, 8773, 16, 988, 939, 18397, 1240, 341, 349, 2283, 43536, 1087, 10004, 44326, 289, 32170, 411, 4717, 14750, 8616, 478, 296, 1792, 1277, 432, 30141, 523, 861, 43124, 411, 1129, 510, 5379, 1235, 516, 473, 36126, 16378, 12084, 6778, 510, 492, 33220, 3624, 309, 965, 16, 4488, 275, 46627, 9077, 434, 16035, 507, 16, 6555, 510, 2901, 2825, 473, 8909, 9838, 1043, 6778, 510, 371, 864, 21416, 8944, 1703, 8153, 36391, 16, 27691, 510, 661, 266, 1214, 15758, 7891, 6436, 306, 473, 12836, 2220, 354, 3583, 6778, 510, 8754, 525, 722, 15358, 31, 1085, 17, 299, 411, 4717, 2397, 20858, 1188, 35597, 2509, 334, 4080, 17, 299, 22011, 9942, 18, 27615, 8521, 17685, 3463, 16, 14619, 6369, 14492, 18, 7200, 11606, 6369, 1857, 1269, 409, 1502, 434, 8621, 21226, 345, 665, 17417, 323, 324, 431, 756, 478, 1009, 305, 1952, 29530, 35597, 401, 470, 510, 387, 13211, 451, 15585, 22323, 32940, 475, 27438, 434, 26954, 289, 32325, 2339, 282, 7044, 16644, 2182, 317, 26902, 1275, 18, 478, 1009, 305, 1952, 470, 510, 481, 15728, 1372, 282, 4889, 8619, 413, 7894, 282, 11500, 3734, 779, 30077, 12097, 3551, 5539, 289, 505, 15728, 15127, 4119, 18, 999, 42094, 1205, 726, 898, 46589, 1293, 6366, 696, 3536, 281, 505, 12070, 16, 3818, 40719, 411, 1129, 1559, 29069, 478, 1464, 320, 2460, 39605, 910, 282, 2114, 3551, 3141, 16480, 12546, 38259, 5044, 18, 3026, 492, 1320, 322, 519, 4404, 271, 1817, 11778, 16, 428, 289, 282, 478, 1009, 305, 16694, 910, 515, 282, 9146, 6160, 10276, 17954, 4786, 5824, 1154, 16837, 13220, 16, 753, 8969, 289, 15447, 281, 12070, 3551, 5539, 16, 289, 505, 1609, 31, 3754, 16, 281, 16323, 16511, 18, 16424, 6867, 45112, 16471, 40596, 324, 450, 323, 332, 5915, 14158, 16, 749, 8072, 523, 16, 9776, 5325, 18, 2320, 16188, 322, 2458, 2240, 449, 5983, 273, 16190, 6366, 696, 429, 18083, 1789, 28771, 12084, 1624, 367, 24661, 6125, 6505, 6584, 16, 289, 481, 773, 3225, 18, 459, 322, 8935, 7179, 9065, 26741, 16, 374, 492, 4167, 282, 9177, 289, 3662, 11253, 23485, 287, 16, 289, 3741, 16711, 20506, 2460, 291, 18, 996, 5106, 18, 459, 1717, 26942, 20506, 33564, 9065, 26741, 26942, 3014, 6532, 846, 296, 2004, 323, 46835, 3551, 5539, 510, 478, 1009, 305, 1952, 29530, 35597, 401, 470, 8733, 1852, 16, 294, 6095, 16, 322, 8070, 18, 3782, 326, 2279, 343, 29274, 14504, 50016, 322, 9253, 8258, 282, 1129, 8300, 510, 2490, 2035, 38154, 309, 1634, 289, 20340, 16, 988, 3319, 1747, 687, 19211, 20254, 16, 282, 970, 2875, 289, 1537, 26779, 451, 3551, 307, 536, 7110, 38259, 2612, 18, 832, 2619, 37063, 416, 16, 7089, 16, 906, 6295, 289, 282, 2172, 1212, 6366, 696, 482, 478, 630, 2314, 783, 478, 789, 6772, 910, 16118, 11618, 2500, 12016, 11618, 478, 1009, 305, 320, 910, 510, 1085, 373, 12420, 2823, 282, 2343, 5259, 17, 292, 17047, 35711, 2182, 317, 26902, 4287, 35, 365, 12884, 17417, 323, 324, 431, 756, 4461, 478, 267, 1406, 17, 17851, 323, 470, 11179, 5695, 281, 3376, 16, 374, 289, 35403, 309, 4599, 437, 4547, 9776, 1918, 282, 5329, 18, 29034, 510, 4960, 16, 289, 282, 1888, 4190, 492, 757, 373, 6281, 16, 3057, 16, 309, 5939, 16898, 677, 13637, 18, 817, 9988, 16, 13025, 282, 3106, 445, 503, 432, 10279, 1209, 2917, 16, 367, 505, 478, 49739, 1952, 470, 510, 4109, 16, 12885, 306, 6652, 3858, 2508, 282, 41559, 4466, 19807, 2422, 16518, 16, 510, 2180, 3595, 16, 2616, 15241, 289, 4106, 942, 2162, 423, 12050, 282, 43534, 18, 459, 1215, 1177, 5040, 2162, 423, 48443, 29069, 1139, 322, 28890, 1211, 18, 608, 4717, 29530, 35597, 401, 1003, 5522, 6705, 16, 687, 27164, 360, 1047, 16, 1715, 1003, 12138, 289, 16, 3848, 1223, 16, 1003, 9190, 18, 1606, 2505, 29555, 1262, 16, 37146, 448, 6210, 20425, 7459, 8126, 541, 924, 16, 753, 953, 1336, 289, 1314, 18, 1606, 322, 6556, 17, 288, 11521, 44985, 16, 367, 29034, 510, 322, 42812, 1714, 2449, 18, 3863, 14619, 294, 1360, 4380, 3419, 453, 16, 2505, 329, 1047, 282, 18963, 8445, 5771, 17, 32231, 526, 5039, 783, 477, 46773, 478, 10524, 16, 374, 3404, 11103, 574, 16518, 16, 11742, 334, 8722, 12044, 1433, 289, 541, 28139, 4000, 861, 11333, 34210, 12596, 965, 453, 16, 2505, 6597, 290, 9423, 978, 6325, 289, 290, 970, 16, 19130, 309, 1169, 20133, 18, 1735, 687, 14619, 29034, 510, 322, 687, 322, 42812, 411, 478, 618, 325, 1838, 1336, 3204, 485, 910, 492, 289, 322, 31088, 302, 11, 7306, 2042, 11015, 16, 289, 322, 6478, 3126, 439, 26443, 18, 817, 16, 2628, 16, 12387, 39709, 510, 1717, 2733, 505, 16835, 282, 478, 1009, 305, 16694, 861, 740, 43862, 11019, 978, 4819, 4173, 1033, 7003, 324, 502, 520, 2570, 3031, 17937, 336, 412, 837, 16, 502, 520, 19388, 346, 325, 599, 343, 16, 367, 3300, 10251, 3514, 428, 8396, 309, 3703, 779, 289, 7006, 520, 37423, 41893, 329, 35643, 18, 9418, 281, 867, 29069, 895, 17338, 13729, 485, 11791, 607, 510, 3551, 3141, 685, 32404, 9778, 304, 16, 45909, 289, 282, 21945, 9090, 1558, 3591, 6793, 16, 935, 322, 26952, 37414, 35600, 670, 21840, 16707, 16, 367, 282, 478, 1009, 305, 16694, 470, 975, 8826, 7893, 9778, 778, 46147, 510, 4210, 5409, 39414, 1624, 18935, 8454, 380, 38034, 609, 1624, 6370, 1681, 5321, 291, 1624, 322, 15804, 4717, 17, 471, 49739, 320, 861, 740, 7265, 28383, 978, 8621, 1623, 1717, 505, 24890, 18, 459, 764, 2361, 21996, 895, 18908, 309, 2507, 25097, 17417, 323, 324, 431, 756, 510, 678, 2756, 7322, 8252, 1809, 30, 8773, 282, 5975, 808, 309, 6998, 272, 282, 2630, 281, 36581, 26795, 18, 30282, 488, 29069, 1293, 4776, 2158, 16, 309, 1756, 3193, 2950, 1085 ]
[ 14676, 373, 2904, 16, 367, 764, 3440, 1512, 3837, 262, 373, 16, 374, 8773, 13946, 17, 361, 45341, 16625, 18, 5043, 16, 1336, 16188, 1279, 21840, 20285, 322, 32905, 6563, 510, 453, 2650, 289, 639, 30, 519, 20849, 779, 21128, 23214, 282, 2452, 20584, 18, 6552, 530, 539, 1743, 16, 374, 7820, 481, 322, 6874, 510, 478, 1009, 305, 1952, 470, 4732, 17666, 764, 282, 4018, 17, 277, 16, 785, 2950, 1085, 757, 2141, 40829, 16, 374, 475, 14864, 453, 16, 428, 4243, 18, 5043, 16, 8252, 6321, 1542, 36324, 18907, 330, 510, 1655, 322, 639, 537, 14769, 16, 537, 7975, 16, 475, 639, 3348, 16, 35879, 18, 459, 1717, 2089, 37128, 30066, 1166, 19826, 29530, 35597, 401, 16, 367, 492, 16, 8774, 16, 722, 42313, 18, 2, 1, 87, 1456, 81, 2448, 30, 37660, 7504, 17656, 2283, 9522, 35213, 291, 16, 3057, 34481, 17, 1522, 499, 6464, 670, 478, 748, 432, 3139, 910, 11447, 3108, 360, 1129, 282, 3178, 48578, 1011, 24637, 16, 29838, 34450, 2241, 1180, 74, 47, 18, 2046, 6295, 309, 5814, 895, 39358, 281, 25875, 282, 13486, 16422, 1234, 15725, 16, 30885, 14697, 18, 31224, 30, 33982, 782, 3169, 1162, 3785, 1180, 74, 47, 653, 3156, 11777, 9983, 13400, 17, 14442, 366, 289, 4511, 3391, 16, 374, 2552, 7504, 18974, 2567, 35213, 291, 11447, 3108, 360, 1129, 282, 3178, 48578, 1011, 24637, 18, 7249, 309, 2651, 10044, 6321, 478, 748, 432, 3139, 910, 1542, 19084, 15297, 4896, 687, 2287, 9, 1223, 7043, 2283, 9522, 35213, 291, 16, 11466, 1812, 282, 30680, 1180, 74, 47, 18, 727, 341, 1208, 17, 266, 1866, 1952, 14872, 4016, 9, 7043, 16, 367, 952, 34458, 17, 343, 37214, 16, 3057, 8639, 26112, 16, 510, 3436, 9, 7043, 18, 4039, 9, 41618, 16170, 16, 374, 7072, 510, 6917, 26428, 41874, 16, 309, 2588, 745, 47126, 2904, 16, 17334, 16, 13501, 670, 322, 13501, 34481, 17, 266, 1866, 320, 18, 985, 29838, 282, 1180, 74, 47, 16, 478, 748, 448, 7258, 470, 519, 4319, 1326, 23160, 478, 486, 2266, 9832, 541, 3269, 523, 470, 411, 17, 431, 322, 2410, 13338, 305, 1447, 434, 19213, 289, 14236, 1851, 17, 3697, 1008, 416, 9326, 18, 5043, 16, 481, 322, 40552, 6510, 3250, 9818, 4118, 31117, 510, 282, 970, 2875, 24679, 17, 607, 1709, 2675, 4011, 35229, 289, 32214, 510, 7556, 29653, 8578, 1717, 1335, 9044, 18, 3647, 941, 19746, 872, 11955, 18, 77, 18, 866, 21708, 27328, 13400, 17, 1522, 499, 305, 16, 367, 20044, 1624, 428, 19988, 16, 4463, 13617, 10808, 41218, 541, 21343, 404, 507, 478, 748, 448, 7258, 470, 282, 13673, 1293, 8560, 18, 45598, 16, 374, 21215, 371, 12804, 3789, 10302, 322, 687, 294, 39866, 2283, 9522, 35213, 291, 16, 515, 289, 294, 697, 5492, 30, 11114, 9, 289, 4016, 9, 36379, 8774, 16170, 16, 374, 5029, 326, 373, 3836, 13400, 17, 28751, 282, 19145, 20387, 6464, 670, 22538, 18, 11824, 41618, 17, 25747, 1690, 1038, 12002, 16, 374, 5029, 326, 373, 14316, 478, 748, 668, 9520, 470, 510, 28072, 16, 20328, 670, 48245, 16, 282, 502, 808, 428, 4109, 5029, 326, 373, 3808, 1744, 1049, 306, 30, 20387, 1254, 16, 18698, 289, 38069, 5660, 18, 5043, 16, 13323, 9, 41618, 48484, 16, 374, 12839, 487, 10850, 13400, 17, 28751, 16, 2671, 11328, 1717, 9818, 1873, 16, 367, 322, 21405, 14667, 11024, 18, 6831, 9983, 411, 2059, 411, 3322, 9818, 3728, 41000, 770, 2044, 510, 13340, 30576, 510, 381, 803, 12002, 18101, 22291, 5999, 985, 2815, 45940, 2241, 969, 4834, 9508, 16, 18990, 28217, 408, 16, 515, 18036, 48433, 3139, 281, 1302, 17, 3680, 79, 17, 488, 436, 426, 339, 16, 22605, 2230, 447, 1798, 1465, 14415, 45367, 1624, 17960, 969, 4834, 9508, 9843, 541, 7358, 13349, 3673, 289, 3775, 12631, 865, 478, 377, 399, 1991, 40534, 470, 3139, 18, 740, 477, 5547, 21215, 13173, 16, 374, 11260, 15519, 309, 3333, 2393, 4465, 16, 3057, 281, 505, 3195, 942, 309, 28054, 27094, 419, 266, 289, 12779, 4778, 5233, 5681, 8578, 353, 18, 4338, 8275, 2283, 9522, 15297, 3164, 687, 282, 24772, 45075, 4349, 510, 4652, 309, 970, 575, 5066, 16, 309, 2114, 6820, 8275, 41382, 282, 5653, 1045, 16, 785, 3785, 16422, 22644, 2615, 23819, 16, 2548, 2230, 447, 1798, 1465, 18, 832, 3833, 883, 24802, 267, 13400, 17, 413, 1015, 16422, 1234, 15725, 371, 2077, 29796, 44258, 478, 748, 432, 3139, 910, 4813, 309, 502, 374, 282, 13486, 1177, 35213, 11585, 322, 3255, 2742, 13111, 779, 16, 5692, 492, 18, 478, 33716, 3426, 1048, 11260, 510, 19489, 16, 2436, 1499, 16, 2436, 1499, 5, 31290, 6584, 510, 7374, 16, 1381, 13501, 18, 459, 453, 19031, 1293, 4776, 18, 5257, 374, 10044, 300, 329, 1129, 445, 451, 16, 510, 17857, 1829, 33107, 6187, 2241, 17283, 42991, 674, 70, 1050, 18935, 20838, 4929, 18, 510, 1234, 2093, 4904, 32368, 10745, 4430, 5802, 289, 1715, 1833, 1046, 3231, 30, 670, 745, 322, 19343, 1660, 17, 299, 2240, 16, 670, 329, 1129, 14578, 16160, 451, 861, 4320, 7435, 322, 1747, 3294, 823, 6025, 16, 21301, 19899, 13400, 17, 14442, 366, 453, 289, 8633, 47347, 428, 16837, 7518, 1986, 4287, 16, 4848, 20838, 4929, 478, 46088, 18, 8381, 861, 385, 10203, 353, 2900, 322, 11730, 282, 10209, 282, 3941, 2898, 1161, 3010, 382, 510, 37691, 2353, 8067, 15341, 478, 748, 432, 3139, 910, 581, 289, 10044, 300, 23044, 329, 1209, 27186, 7077, 10890, 30, 349, 2948, 28901, 3775, 16119, 307, 3236, 18, 385, 11765, 29711, 6973, 5985, 445, 282, 1205, 687, 1548, 16, 374, 1611, 5970, 481, 18662, 18, 403, 2283, 12418, 8578, 277, 9707, 21400, 506, 24679, 17, 607, 1709, 548, 10982, 473, 39295, 21305, 1234, 2093, 13, 289, 16422, 473, 50245, 716, 1234, 15725, 13, 510, 281, 2872, 16, 3848, 1223, 16, 6295, 48154, 4164, 289, 8578, 1747, 31041, 281, 2483, 8964, 16, 8236, 416, 1611, 5970, 16, 20427, 20838, 4929, 18, 2, 1, 87, 1456, 81, 2448, 30, 13762, 20000, 31653, 878, 45128, 1812, 282, 49475, 48672, 12142, 510, 10929, 33706, 282, 3178, 23399, 986, 9410, 18, 824, 12821, 3990, 289, 749, 924, 17622, 485, 10929, 3741, 5642, 567, 5670, 16, 11254, 5009, 5385, 309, 2418, 384, 3902, 7418, 367, 10391, 342, 4749, 282, 5017, 11290, 1045, 1617, 6688, 15871, 4893, 2098, 5519, 309, 2123, 9, 3760, 510, 8768, 5915, 309, 15592, 1939, 17, 11884, 37158, 10241, 18, 31224, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14676, 373, 2904, 16, 367, 764, 3440, 1512, 3837, 262, 373, 16, 374, 8773, 13946, 17, 361, 45341, 16625, 18, 5043, 16, 1336, 16188, 1279, 21840, 20285, 322, 32905, 6563, 510, 453, 2650, 289, 639, 30, 519, 20849, 779, 21128, 23214, 282, 2452, 20584, 18, 6552, 530, 539, 1743, 16, 374, 7820, 481, 322, 6874, 510, 478, 1009, 305, 1952, 470, 4732, 17666, 764, 282, 4018, 17, 277, 16, 785, 2950, 1085, 757, 2141, 40829, 16, 374, 475, 14864, 453, 16, 428, 4243, 18, 5043, 16, 8252, 6321, 1542, 36324, 18907, 330, 510, 1655, 322, 639, 537, 14769, 16, 537, 7975, 16, 475, 639, 3348, 16, 35879, 18, 459, 1717, 2089, 37128, 30066, 1166, 19826, 29530, 35597, 401, 16, 367, 492, 16, 8774, 16, 722, 42313, 18, 2, 1, 87, 1456, 81, 2448, 30, 37660, 7504, 17656, 2283, 9522, 35213, 291, 16, 3057, 34481, 17, 1522, 499, 6464, 670, 478, 748, 432, 3139, 910, 11447, 3108, 360, 1129, 282, 3178, 48578, 1011, 24637, 16, 29838, 34450, 2241, 1180, 74, 47, 18, 2046, 6295, 309, 5814, 895, 39358, 281, 25875, 282, 13486, 16422, 1234, 15725, 16, 30885, 14697, 18, 31224, 30, 33982, 782, 3169, 1162, 3785, 1180, 74, 47, 653, 3156, 11777, 9983, 13400, 17, 14442, 366, 289, 4511, 3391, 16, 374, 2552, 7504, 18974, 2567, 35213, 291, 11447, 3108, 360, 1129, 282, 3178, 48578, 1011, 24637, 18, 7249, 309, 2651, 10044, 6321, 478, 748, 432, 3139, 910, 1542, 19084, 15297, 4896, 687, 2287, 9, 1223, 7043, 2283, 9522, 35213, 291, 16, 11466, 1812, 282, 30680, 1180, 74, 47, 18, 727, 341, 1208, 17, 266, 1866, 1952, 14872, 4016, 9, 7043, 16, 367, 952, 34458, 17, 343, 37214, 16, 3057, 8639, 26112, 16, 510, 3436, 9, 7043, 18, 4039, 9, 41618, 16170, 16, 374, 7072, 510, 6917, 26428, 41874, 16, 309, 2588, 745, 47126, 2904, 16, 17334, 16, 13501, 670, 322, 13501, 34481, 17, 266, 1866, 320, 18, 985, 29838, 282, 1180, 74, 47, 16, 478, 748, 448, 7258, 470, 519, 4319, 1326, 23160, 478, 486, 2266, 9832, 541, 3269, 523, 470, 411, 17, 431, 322, 2410, 13338, 305, 1447, 434, 19213, 289, 14236, 1851, 17, 3697, 1008, 416, 9326, 18, 5043, 16, 481, 322, 40552, 6510, 3250, 9818, 4118, 31117, 510, 282, 970, 2875, 24679, 17, 607, 1709, 2675, 4011, 35229, 289, 32214, 510, 7556, 29653, 8578, 1717, 1335, 9044, 18, 3647, 941, 19746, 872, 11955, 18, 77, 18, 866, 21708, 27328, 13400, 17, 1522, 499, 305, 16, 367, 20044, 1624, 428, 19988, 16, 4463, 13617, 10808, 41218, 541, 21343, 404, 507, 478, 748, 448, 7258, 470, 282, 13673, 1293, 8560, 18, 45598, 16, 374, 21215, 371, 12804, 3789, 10302, 322, 687, 294, 39866, 2283, 9522, 35213, 291, 16, 515, 289, 294, 697, 5492, 30, 11114, 9, 289, 4016, 9, 36379, 8774, 16170, 16, 374, 5029, 326, 373, 3836, 13400, 17, 28751, 282, 19145, 20387, 6464, 670, 22538, 18, 11824, 41618, 17, 25747, 1690, 1038, 12002, 16, 374, 5029, 326, 373, 14316, 478, 748, 668, 9520, 470, 510, 28072, 16, 20328, 670, 48245, 16, 282, 502, 808, 428, 4109, 5029, 326, 373, 3808, 1744, 1049, 306, 30, 20387, 1254, 16, 18698, 289, 38069, 5660, 18, 5043, 16, 13323, 9, 41618, 48484, 16, 374, 12839, 487, 10850, 13400, 17, 28751, 16, 2671, 11328, 1717, 9818, 1873, 16, 367, 322, 21405, 14667, 11024, 18, 6831, 9983, 411, 2059, 411, 3322, 9818, 3728, 41000, 770, 2044, 510, 13340, 30576, 510, 381, 803, 12002, 18101, 22291, 5999, 985, 2815, 45940, 2241, 969, 4834, 9508, 16, 18990, 28217, 408, 16, 515, 18036, 48433, 3139, 281, 1302, 17, 3680, 79, 17, 488, 436, 426, 339, 16, 22605, 2230, 447, 1798, 1465, 14415, 45367, 1624, 17960, 969, 4834, 9508, 9843, 541, 7358, 13349, 3673, 289, 3775, 12631, 865, 478, 377, 399, 1991, 40534, 470, 3139, 18, 740, 477, 5547, 21215, 13173, 16, 374, 11260, 15519, 309, 3333, 2393, 4465, 16, 3057, 281, 505, 3195, 942, 309, 28054, 27094, 419, 266, 289, 12779, 4778, 5233, 5681, 8578, 353, 18, 4338, 8275, 2283, 9522, 15297, 3164, 687, 282, 24772, 45075, 4349, 510, 4652, 309, 970, 575, 5066, 16, 309, 2114, 6820, 8275, 41382, 282, 5653, 1045, 16, 785, 3785, 16422, 22644, 2615, 23819, 16, 2548, 2230, 447, 1798, 1465, 18, 832, 3833, 883, 24802, 267, 13400, 17, 413, 1015, 16422, 1234, 15725, 371, 2077, 29796, 44258, 478, 748, 432, 3139, 910, 4813, 309, 502, 374, 282, 13486, 1177, 35213, 11585, 322, 3255, 2742, 13111, 779, 16, 5692, 492, 18, 478, 33716, 3426, 1048, 11260, 510, 19489, 16, 2436, 1499, 16, 2436, 1499, 5, 31290, 6584, 510, 7374, 16, 1381, 13501, 18, 459, 453, 19031, 1293, 4776, 18, 5257, 374, 10044, 300, 329, 1129, 445, 451, 16, 510, 17857, 1829, 33107, 6187, 2241, 17283, 42991, 674, 70, 1050, 18935, 20838, 4929, 18, 510, 1234, 2093, 4904, 32368, 10745, 4430, 5802, 289, 1715, 1833, 1046, 3231, 30, 670, 745, 322, 19343, 1660, 17, 299, 2240, 16, 670, 329, 1129, 14578, 16160, 451, 861, 4320, 7435, 322, 1747, 3294, 823, 6025, 16, 21301, 19899, 13400, 17, 14442, 366, 453, 289, 8633, 47347, 428, 16837, 7518, 1986, 4287, 16, 4848, 20838, 4929, 478, 46088, 18, 8381, 861, 385, 10203, 353, 2900, 322, 11730, 282, 10209, 282, 3941, 2898, 1161, 3010, 382, 510, 37691, 2353, 8067, 15341, 478, 748, 432, 3139, 910, 581, 289, 10044, 300, 23044, 329, 1209, 27186, 7077, 10890, 30, 349, 2948, 28901, 3775, 16119, 307, 3236, 18, 385, 11765, 29711, 6973, 5985, 445, 282, 1205, 687, 1548, 16, 374, 1611, 5970, 481, 18662, 18, 403, 2283, 12418, 8578, 277, 9707, 21400, 506, 24679, 17, 607, 1709, 548, 10982, 473, 39295, 21305, 1234, 2093, 13, 289, 16422, 473, 50245, 716, 1234, 15725, 13, 510, 281, 2872, 16, 3848, 1223, 16, 6295, 48154, 4164, 289, 8578, 1747, 31041, 281, 2483, 8964, 16, 8236, 416, 1611, 5970, 16, 20427, 20838, 4929, 18, 2, 1, 87, 1456, 81, 2448, 30, 13762, 20000, 31653, 878, 45128, 1812, 282, 49475, 48672, 12142, 510, 10929, 33706, 282, 3178, 23399, 986, 9410, 18, 824, 12821, 3990, 289, 749, 924, 17622, 485, 10929, 3741, 5642, 567, 5670, 16, 11254, 5009, 5385, 309, 2418, 384, 3902, 7418, 367, 10391, 342, 4749, 282, 5017, 11290, 1045, 1617, 6688, 15871, 4893, 2098, 5519, 309, 2123, 9, 3760, 510, 8768, 5915, 309, 15592, 1939, 17, 11884, 37158, 10241, 18, 31224, 30 ]