Datasets:
smcleish
/
retrofitting-llama-fineweb-edu-tokenized

Dataset card Data Studio Files
xet
Community
2
Search is not available for this dataset
input_ids
listlengths
1.03k
1.03k
attention_mask
listlengths
1.03k
1.03k
[ 14060, 311, 220, 16, 11, 5067, 14060, 264, 1938, 627, 2746, 499, 527, 44003, 11, 656, 539, 1935, 47687, 5773, 311, 2686, 18710, 477, 904, 6593, 3044, 2085, 31831, 264, 15337, 2890, 6721, 13, 51859, 1101, 19201, 430, 1884, 449, 13803, 315, 893, 689, 477, 65919, 19823, 1288, 539, 1935, 47687, 5773, 7389, 11951, 26160, 555, 264, 10896, 627, 8142, 47687, 5773, 706, 264, 1695, 7296, 5643, 11, 11909, 2019, 433, 1253, 1101, 5353, 3185, 6372, 1093, 18547, 11, 60071, 23268, 323, 61880, 13, 42536, 11, 1521, 3185, 6372, 527, 4225, 70791, 323, 6118, 23900, 627, 11663, 7978, 527, 1101, 3411, 1139, 279, 4754, 2890, 7720, 315, 328, 12, 21825, 437, 4010, 21747, 290, 483, 369, 26587, 2890, 323, 25702, 18174, 627, 19841, 96420, 430, 649, 1520, 7916, 701, 20247, 198, 65641, 374, 264, 9498, 3691, 430, 649, 1520, 4465, 18710, 627, 28528, 4756, 304, 6186, 220, 679, 19, 304, 578, 3778, 10139, 315, 33135, 39700, 13533, 430, 7795, 706, 264, 3560, 304, 1690, 8776, 15481, 41943, 11, 1778, 439, 279, 11002, 11, 38785, 323, 45721, 41943, 430, 617, 1027, 20041, 323, 11349, 369, 872, 7294, 6953, 69563, 7720, 627, 2675, 649, 7916, 701, 20247, 323, 10723, 2890, 555, 12459, 264, 2380, 12, 9933, 13788, 315, 7795, 520, 3325, 1403, 477, 2380, 3115, 264, 2046, 627, 791, 3135, 315, 828, 6492, 4756, 304, 279, 8486, 39700, 617, 1766, 430, 279, 810, 14098, 499, 8343, 11, 279, 4827, 701, 5326, 315, 18710, 13, 1789, 279, 6492, 11, 12074, 22690, 3495, 922, 279, 2723, 1990, 14098, 323, 36581, 15652, 323, 18710, 627, 37, 68998, 527, 2539, 315, 46192, 11, 34072, 323, 95309, 332, 32930, 11, 3339, 1124, 264, 2294, 40459, 422, 499, 3207, 64804, 2555, 10437, 13, 578, 549, 815, 13, 6011, 315, 37963, 320, 2078, 6486, 8, 40912, 12459, 520, 3325, 832, 323, 264, 4376, 26446, 315, 14098, 7446, 627, 37, 68998, 1093, 68442, 527, 9498, 323, 10437, 11, 323, 7978, 4284, 430, 68442, 649, 1520, 7916, 701, 20247, 627, 89711, 7878, 31049, 389, 264, 7446, 8197, 311, 7916, 701, 23730, 315, 34625, 24722, 11, 13128, 323, 9498, 50127, 13, 2030, 1093, 1023, 15657, 11, 499, 1288, 2567, 3839, 315, 25247, 11, 902, 649, 923, 709, 6288, 627, 22170, 311, 25024, 520, 3325, 264, 832, 12, 9933, 13788, 315, 9709, 31049, 1093, 88922, 323, 41926, 64866, 7446, 13, 45614, 31049, 8649, 34998, 12, 18, 40085, 33969, 369, 279, 12474, 1317, 9860, 7720, 627, 23080, 264, 7029, 1358, 315, 24822, 11, 449, 10283, 315, 16312, 88, 52011, 323, 1579, 2269, 8799, 3789, 24822, 1139, 701, 5912, 10173, 13, 10771, 311, 279, 1890, 3495, 6492, 430, 10815, 5190, 14098, 23730, 449, 11293, 18710, 5326, 11, 35208, 810, 24822, 97303, 449, 279, 1890, 15632, 627, 2746, 499, 3207, 8430, 1523, 11, 51176, 709, 264, 33566, 311, 1520, 6144, 2403, 3428, 20247, 323, 18710, 13, 1221, 32423, 520, 3325, 1403, 311, 2380, 26446, 315, 24822, 1475, 1938, 627, 2675, 649, 7916, 701, 8271, 323, 8244, 2890, 555, 35208, 4459, 41936, 323, 1579, 2269, 8799, 15657, 4619, 315, 30774, 3691, 2539, 315, 38291, 13465, 323, 20415, 3956, 627, 84146, 420, 1101, 8779, 2567, 701, 6680, 13465, 15528, 2533, 499, 3207, 33994, 701, 23730, 315, 76657, 477, 7701, 38291, 53609, 627, 52586, 13465, 5594, 13052, 4954, 15657, 1093, 4459, 41936, 649, 1520, 7916, 701, 20247, 555, 10695, 37377, 8271, 90351, 16517, 6367, 919, 13, 11215, 1205, 220, 914, 34419, 315, 24722, 7446, 11, 1418, 3026, 1205, 220, 1987, 34419, 627, 27312, 92410, 10577, 916, 311, 4048, 810, 922, 33690, 430, 649, 1520, 7916, 701, 20247, 323, 10723, 2890, 627, 14581, 279, 2835, 3770, 311, 4048, 1268, 10804, 99512, 649, 1520, 7916, 701, 10723, 2890, 627, 2028, 2835, 374, 505, 279, 16071, 4633, 87972, 380, 5613, 389, 27508, 66130, 916, 627, 7816, 5552, 7493, 25, 128001, 128000, 3905, 17157, 279, 6931, 5905, 430, 36823, 3742, 6137, 8260, 279, 9558, 57000, 318, 330, 76943, 1122, 352, 1, 320, 19875, 5493, 8, 304, 6898, 822, 331, 11, 279, 6725, 6244, 24716, 304, 279, 36823, 458, 1917, 323, 9731, 311, 420, 1938, 439, 9558, 57000, 318, 527, 2103, 14183, 311, 439, 330, 74548, 22125, 498, 330, 22928, 22125, 1, 323, 279, 330, 22928, 9441, 3343, 1102, 1288, 387, 10555, 520, 279, 68864, 430, 1405, 279, 682, 21430, 31929, 287, 3492, 330, 42042, 1, 374, 1511, 304, 279, 88931, 15407, 433, 374, 43146, 92455, 2737, 1884, 430, 1051, 9558, 57000, 318, 477, 430, 8272, 279, 9558, 57000, 318, 15104, 52676, 320, 3195, 311, 4321, 8, 439, 1790, 439, 814, 1051, 3025, 627, 2675, 690, 1518, 430, 279, 56529, 315, 330, 19875, 5493, 1, 574, 1606, 814, 13468, 279, 31487, 1938, 1443, 12806, 266, 11, 279, 6178, 291, 318, 3926, 12019, 315, 816, 39, 20484, 11, 323, 8774, 279, 386, 11289, 86, 354, 320, 4153, 1392, 8, 315, 816, 39, 20484, 439, 656, 279, 9558, 57000, 318, 311, 420, 1938, 13, 1115, 3925, 1101, 5764, 1884, 5315, 6520, 50, 16623, 706, 1511, 6957, 279, 24552, 311, 7066, 279, 350, 7828, 307, 318, 320, 17242, 38558, 8, 816, 596, 92336, 13, 2052, 4455, 10212, 527, 9200, 311, 1057, 8830, 627, 10267, 596, 1212, 704, 555, 38936, 1148, 279, 1176, 77415, 811, 320, 19875, 5493, 8464, 311, 439, 330, 65294, 288, 909, 7111, 1093, 627, 3438, 18536, 11, 320, 508, 79677, 482, 220, 1135, 27809, 8, 264, 1176, 9478, 44068, 315, 57233, 15212, 11, 6821, 304, 813, 990, 20458, 25, 364, 1966, 279, 2324, 315, 42048, 6, 568, 4860, 25, 330, 3923, 893, 374, 1070, 889, 1587, 539, 16044, 430, 32442, 31487, 1938, 11, 49780, 304, 29774, 11, 264, 16337, 323, 43685, 505, 9511, 11, 369, 5678, 323, 369, 682, 1884, 889, 527, 3221, 311, 1461, 323, 430, 539, 311, 1949, 3026, 1193, 11, 719, 1101, 311, 32760, 323, 1524, 311, 57536, 315, 23104, 1131, 20696, 374, 520, 31220, 323, 304, 7296, 389, 430, 1938, 323, 32838, 439, 433, 1051, 11, 4832, 11542, 304, 67194, 311, 264, 20789, 96530, 10246, 791, 1176, 9478, 44068, 11, 3061, 6321, 355, 15466, 355, 320, 1806, 27809, 1389, 220, 1041, 27809, 705, 6835, 603, 2294, 20616, 439, 311, 1148, 3952, 2035, 389, 279, 81276, 11, 539, 1193, 304, 26523, 11, 719, 304, 682, 315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 13041, 32447, 13, 763, 813, 990, 20458, 25, 330, 3968, 6321, 355, 15466, 355, 2403, 5345, 290, 1, 568, 5415, 551, 330, 578, 49068, 315, 43384, 5196, 617, 1047, 264, 2294, 77004, 315, 264, 1317, 892, 11, 311, 1833, 1057, 10597, 9466, 3095, 11, 369, 1070, 374, 539, 904, 3363, 315, 279, 480, 2827, 5493, 6463, 315, 279, 91170, 5493, 11, 6463, 904, 7140, 36734, 449, 261, 1057, 2587, 315, 41219, 389, 279, 31487, 1938, 52677, 539, 2586, 10246, 791, 1274, 315, 816, 39, 20484, 617, 264, 330, 9126, 498, 264, 3361, 1879, 13, 39813, 70788, 11, 499, 2011, 2567, 3092, 510, 2059, 12806, 1900, 60, 369, 420, 374, 264, 1879, 1990, 757, 323, 499, 6957, 279, 17051, 11, 430, 499, 1253, 1440, 430, 358, 816, 39, 20484, 617, 20503, 55373, 499, 13, 1472, 4985, 2567, 279, 1443, 12806, 266, 11, 369, 433, 374, 735, 5670, 71, 320, 34182, 302, 1908, 8, 369, 499, 21908, 88942, 220, 2148, 25, 717, 12, 975, 198, 47016, 358, 5602, 2500, 50596, 1131, 438, 568, 1047, 279, 26418, 315, 279, 5496, 100169, 40617, 26, 323, 568, 39169, 704, 1131, 364, 39, 5757, 539, 279, 9578, 11, 6463, 279, 9581, 11, 6463, 279, 12690, 11, 3156, 584, 617, 19584, 279, 42832, 315, 1057, 100169, 40617, 5304, 872, 2291, 36910, 4527, 702, 12348, 374, 1664, 311, 24928, 279, 4203, 72707, 5493, 11, 35976, 1705, 11, 6872, 1705, 11, 323, 682, 1023, 22125, 11, 430, 279, 17377, 1587, 539, 1862, 1124, 12660, 304, 872, 9466, 685, 315, 7418, 13, 7418, 374, 459, 15244, 315, 279, 13041, 16879, 9441, 11, 323, 1884, 889, 23846, 279, 1938, 23846, 264, 3290, 479, 315, 279, 16879, 9441, 1210, 50003, 36470, 11, 304, 459, 2686, 11, 5068, 304, 279, 21393, 11, 27816, 364, 14710, 6, 389, 5587, 220, 972, 11, 220, 7028, 18, 13, 320, 3915, 1115, 9305, 482, 279, 45813, 14756, 315, 16879, 1469, 10216, 456, 1233, 323, 39153, 2065, 340, 33117, 315, 816, 4385, 4381, 11, 39813, 1628, 568, 10862, 1139, 279, 14956, 439, 568, 574, 53184, 389, 279, 1938, 315, 279, 1443, 12806, 266, 31538, 56, 4385, 4381, 81299, 57956, 613, 320, 47321, 330, 62647, 498, 10175, 2017, 8, 449, 813, 1443, 6915, 318, 320, 32, 2252, 645, 4390, 56, 4385, 4381, 5900, 709, 311, 26523, 369, 279, 92028, 315, 921, 351, 6520, 11836, 89, 354, 320, 1844, 273, 5389, 291, 50141, 570, 1952, 279, 1566, 1938, 315, 921, 351, 6520, 11836, 89, 354, 320, 1820, 1176, 1938, 323, 279, 31487, 2919, 527, 1443, 12806, 266, 354, 320, 50, 12806, 27382, 8, 482, 539, 311, 387, 22568, 449, 279, 17496, 1443, 12806, 266, 8, 816, 4385, 4381, 5334, 709, 311, 4639, 304, 50399, 220, 1806, 612, 220, 1987, 198, 791, 1443, 6915, 318, 320, 32, 2252, 645, 8, 527, 20802, 3871, 369, 279, 92028, 315, 1443, 402, 84, 354, 320, 47, 306, 762, 537, 8, 994, 279, 29014, 613, 6520, 42, 2601, 71, 320, 1681, 35802, 38050, 17326, 8, 4131, 5304, 1124, 13, 7181, 430, 814, 1051, 20802, 3871, 369, 279, 53268, 11, 814, 1051, 539, 26092, 704, 304, 8850, 315, 279, 10597, 6164, 439, 374, 15972, 555, 1690, 76606, 9052, 13639, 13, 578, 350, 7828, 307, 318, 1047, 2736, 3970, 279, 41482, 69279, 16618, 613, 8254, 5672, 3766, 320, 1868, 287, 315, 279, 507, 1195, 311, 1443, 402, 84, 354, 8, 323, 814, 617, 1027, 8126, 820, 6901, 2533, 430, 892, 627, 68879, 527, 856, 1172, 12019, 1131, 1820, 1172, 12019, 315, 816, 39, 20484, 11, 735, 5670, 71, 320, 751, 10980, 8, 5804, 56299, 3343, 320, 2356, 85, 13, 220, 1419, 25, 17, 12, 19, 8, 39813, 64, 35786, 16058, 320, 11823, 220, 975, 11, 220, 1691, 11, 220, 2148, 11, 220, 3174, 10143, 627, 49, 402, 1443, 5049, 320, 26368, 8, 374, 304, 279, 14594, 434, 295, 320, 1548, 22363, 26, 25548, 24028, 72036, 304, 18341, 8, 389, 1855, 1443, 12806, 266, 12917, 13, 14594, 434, 295, 3445, 330, 47991, 14956, 1, 477, 330, 444, 35542, 23811, 7009, 76844, 1306, 279, 92028, 315, 921, 351, 6520, 11836, 89, 354, 13, 1115, 97303, 449, 279, 1443, 402, 84, 354, 2768, 304, 49918, 220, 508, 25, 845, 198, 26368, 31818, 288, 13936, 439, 568, 374, 304, 264, 48335, 311, 636, 311, 26523, 369, 279, 92028, 315, 1443, 402, 84, 354, 320, 47, 306, 762, 537, 570, 1115, 574, 13489, 220, 914, 482, 220, 966, 1667, 1306, 279, 4648, 323, 62532, 315, 816, 4385, 4381, 6520, 44, 1003, 16618, 613, 323, 279, 74927, 315, 279, 29014, 613, 6520, 42, 2601, 71, 304, 49918, 220, 17, 25, 16, 13, 578, 29014, 613, 14238, 73050, 5304, 279, 4851, 13, 1442, 1521, 2574, 1051, 2884, 3201, 449, 11, 3249, 527, 279, 1443, 6915, 318, 2103, 46071, 1124, 5380, 50, 14612, 574, 5107, 1606, 433, 574, 330, 6153, 279, 5043, 1, 22797, 311, 816, 316, 735, 2877, 324, 320, 2059, 12806, 266, 482, 6187, 315, 362, 783, 1133, 482, 433, 374, 264, 1938, 315, 54560, 323, 23788, 570, 1115, 374, 53580, 555, 816, 316, 350, 6, 2739, 1494, 320, 6251, 561, 315, 3420, 1441, 8, 323, 8272, 555, 74874, 74, 354, 320, 8750, 944, 18709, 570, 3277, 584, 8464, 311, 330, 1820, 5043, 1, 433, 374, 6118, 64005, 315, 279, 320, 18, 8, 4498, 3926, 12019, 315, 816, 39, 20484, 13, 7557, 264, 5296, 13, 578, 10683, 1172, 12019, 617, 1027, 41834, 482, 57956, 613, 26, 921, 351, 6520, 11836, 89, 354, 26, 6520, 33, 30987, 324, 318, 320, 5451, 435, 68998, 1237, 323, 1443, 402, 84, 354, 627, 56, 316, 350, 6, 2739, 1494, 26, 816, 316, 735, 2877, 324, 26, 323, 74874, 74, 354, 320, 8750, 944, 18709, 8, 617, 3686, 311, 387, 41834, 555, 69279, 16618, 613, 13, 5810, 374, 264, 1323, 10333, 369, 1884, 889, 617, 8830, 13, 816, 316, 350, 6, 2739, 1494, 23828, 3422, 449, 220, 16, 74074, 220, 868, 25, 4103, 11, 330, 266, 279, 1566, 39155, 1131, 3343, 76607, 220, 777, 25, 22, 12, 24, 23828, 3422, 449, 816, 316, 735, 2877, 324, 11, 330, 2000, 279, 11103, 87117, 315, 279, 32402, 706, 2586, 21908, 1628, 10035, 11, 74874, 74, 354, 23828, 3422, 449, 76607, 220, 508, 25, 21 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 439, 584, 2597, 1057, 15690, 2162, 304, 76607, 220, 1313, 627, 2520, 810, 389, 420, 1518, 279, 8415, 351, 683, 11, 330, 50988, 220, 20, 25, 1114, 12, 777, 1, 389, 420, 3566, 2816, 627, 16, 74074, 220, 20, 25, 22, 12, 23, 198, 1, 10267, 603, 18890, 279, 19309, 21908, 45072, 315, 921, 351, 6520, 11836, 89, 354, 323, 1268, 311, 23846, 433, 10489, 320, 18883, 287, 704, 279, 514, 5389, 304, 1057, 23492, 570, 35074, 1443, 5049, 6089, 20405, 279, 3926, 12019, 311, 816, 4385, 4381, 304, 33487, 220, 22, 11, 39813, 2520, 1057, 10175, 2017, 374, 279, 69279, 16618, 613, 11, 889, 574, 70286, 369, 603, 23811, 791, 480, 99098, 323, 49918, 1304, 433, 18813, 2867, 430, 69279, 16618, 613, 11, 813, 1443, 6915, 318, 323, 350, 7828, 307, 318, 8774, 279, 31487, 1938, 17496, 1443, 12806, 266, 430, 574, 9749, 1603, 279, 73050, 574, 2728, 311, 12847, 383, 320, 9126, 220, 21, 25, 17, 11, 25459, 220, 19, 25, 845, 11, 220, 2148, 12, 843, 26, 220, 1032, 25, 605, 26, 49918, 220, 1032, 25, 975, 12, 2096, 26, 220, 972, 25, 19, 570, 14910, 35074, 1443, 5049, 2216, 15673, 279, 1443, 12806, 266, 439, 1690, 9052, 62265, 811, 4639, 30, 3011, 374, 26102, 311, 1148, 49918, 220, 1114, 25, 16, 12, 18, 33992, 11, 330, 17, 1628, 7043, 11, 439, 574, 813, 2587, 11, 4024, 304, 311, 1124, 11, 323, 2391, 2380, 1443, 12806, 266, 354, 568, 12570, 449, 1124, 505, 279, 87733, 10246, 3923, 87733, 1550, 35074, 1443, 5049, 4639, 505, 30, 2684, 574, 912, 330, 3648, 40214, 1, 520, 430, 892, 13, 578, 43422, 315, 279, 9558, 57000, 318, 1047, 539, 1524, 1027, 14890, 3871, 520, 420, 892, 13, 763, 2144, 11, 814, 19117, 956, 682, 1027, 5439, 3686, 13, 35074, 1443, 5049, 15972, 505, 279, 73050, 323, 279, 1322, 764, 1441, 430, 32186, 8349, 574, 75974, 311, 279, 30667, 18783, 13, 4557, 49918, 220, 1187, 25, 975, 26, 220, 914, 25, 23, 13, 330, 2170, 264, 1121, 11, 73050, 374, 2638, 35802, 26, 323, 279, 7498, 479, 374, 2638, 35802, 11, 323, 42805, 11, 323, 1695, 1210, 49817, 220, 22, 25, 717, 13, 330, 2520, 358, 92859, 304, 279, 73050, 315, 100169, 40617, 11, 304, 279, 9358, 893, 1210, 49817, 220, 22, 25, 1313, 13, 763, 33487, 220, 914, 11, 39813, 7184, 11, 9093, 11, 304, 856, 42563, 11, 358, 1097, 264, 41564, 315, 279, 73050, 315, 100169, 40617, 21908, 7043, 5415, 304, 813, 6661, 311, 45568, 11, 330, 28753, 505, 701, 20587, 11, 499, 1051, 15972, 279, 2638, 35802, 6603, 902, 649, 1304, 499, 24219, 311, 2324, 555, 10082, 304, 816, 596, 92336, 69279, 16618, 613, 13, 2052, 54250, 430, 574, 5439, 555, 279, 17326, 374, 34235, 369, 7754, 323, 369, 51391, 2098, 23539, 11, 323, 369, 27358, 11, 323, 369, 5655, 16781, 6975, 304, 71329, 21908, 220, 17, 9538, 13, 220, 18, 25, 868, 12, 845, 198, 3923, 73888, 1587, 35074, 1443, 5049, 2567, 7556, 922, 30, 2435, 3287, 956, 1817, 35074, 1443, 5049, 596, 12917, 2403, 19475, 11, 49918, 11, 220, 16, 45568, 11, 62734, 11, 477, 578, 76607, 1606, 1070, 574, 912, 5567, 43130, 31543, 320, 3648, 40214, 570, 1102, 574, 279, 25566, 22506, 320, 18788, 40214, 8, 814, 27600, 13, 7570, 279, 44257, 598, 10273, 35074, 1443, 5049, 323, 8211, 300, 2403, 279, 87733, 311, 1518, 422, 814, 1051, 12917, 279, 8206, 505, 73050, 323, 279, 1322, 764, 1441, 304, 49918, 220, 1114, 25, 605, 12, 806, 627, 2520, 1070, 8625, 264, 1443, 12806, 266, 369, 279, 1274, 315, 100169, 40617, 13, 1789, 568, 889, 1047, 10862, 1139, 813, 2800, 706, 1101, 66529, 505, 813, 4375, 439, 100169, 40617, 1550, 505, 813, 13, 6914, 603, 11, 9093, 11, 37106, 311, 3810, 1139, 430, 2800, 26, 477, 775, 584, 4498, 2875, 11, 1306, 279, 1648, 315, 1884, 889, 1550, 539, 4510, 13, 1789, 279, 9506, 315, 100169, 40617, 374, 5496, 323, 682, 73916, 323, 96569, 1109, 264, 1403, 90663, 20827, 10246, 1687, 649, 78076, 1614, 430, 279, 1443, 6915, 318, 323, 350, 7828, 307, 318, 539, 1193, 15243, 279, 3137, 11, 814, 15203, 279, 4321, 13, 11205, 6299, 9539, 18545, 709, 449, 279, 4339, 814, 12570, 13, 4800, 11, 1521, 9558, 57000, 318, 4024, 704, 1139, 279, 1917, 323, 89194, 279, 7839, 5513, 13, 6104, 1521, 9558, 57000, 318, 89194, 814, 15203, 279, 4321, 20806, 872, 3177, 33505, 1603, 3026, 13, 6914, 596, 1518, 1148, 19543, 505, 872, 15104, 52676, 323, 1148, 19543, 505, 1884, 889, 3782, 709, 449, 905, 83258, 323, 502, 3290, 1392, 505, 279, 38817, 6669, 12922, 315, 3026, 627, 33103, 8362, 367, 482, 578, 35386, 315, 279, 2052, 36823, 458, 9052, 330, 84910, 702, 16041, 13653, 53848, 1234, 4821, 65815, 71, 4749, 26, 2132, 19814, 315, 26523, 555, 49817, 304, 220, 9565, 26, 4661, 4553, 13653, 7187, 315, 42034, 8636, 477, 30010, 627, 2378, 3156, 279, 892, 315, 279, 4821, 65815, 71, 4749, 65935, 11, 9558, 57000, 318, 323, 1884, 36823, 3742, 8260, 5694, 330, 76943, 1122, 88, 1, 1051, 315, 279, 4319, 6370, 290, 482, 814, 8774, 279, 386, 11289, 86, 354, 315, 816, 39, 20484, 320, 269, 1148, 374, 14183, 311, 439, 279, 386, 45883, 7658, 8, 323, 1047, 279, 24365, 315, 816, 4385, 4381, 13, 578, 76130, 61504, 320, 70, 2017, 1251, 15177, 477, 86955, 8, 1051, 13653, 9558, 57000, 318, 627, 6153, 279, 4821, 65815, 71, 4749, 65935, 279, 9861, 13653, 40771, 1051, 506, 2230, 323, 37913, 311, 3810, 115518, 1136, 278, 352, 318, 13, 115518, 1136, 278, 352, 318, 374, 28379, 362, 37029, 32633, 2259, 323, 264, 27850, 311, 50789, 32633, 2259, 574, 66906, 389, 279, 27850, 6606, 13, 17420, 323, 13653, 52013, 1051, 37913, 311, 3810, 279, 3363, 13, 11462, 71435, 6244, 279, 18636, 17271, 315, 330, 78666, 267, 483, 1, 477, 330, 43057, 315, 279, 7302, 380, 1572, 3343, 36783, 9221, 279, 1176, 330, 38, 306, 458, 34342, 1, 315, 115518, 1136, 278, 352, 318, 320, 32, 37029, 32633, 2259, 8, 4184, 311, 469, 817, 8385, 355, 13, 1115, 374, 13489, 220, 1041, 1667, 1306, 279, 11572, 315, 816, 4385, 4381, 627, 16648, 36783, 6, 5216, 330, 791, 1455, 24779, 961, 315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 59635, 5790, 20018, 279, 364, 44, 45883, 2383, 518, 279, 6725, 315, 902, 814, 1047, 34683, 3485, 264, 9478, 510, 10924, 279, 11572, 315, 816, 4385, 4381, 72066, 13266, 889, 5790, 20018, 279, 330, 44, 45883, 2383, 1, 1051, 1949, 311, 3974, 304, 115518, 1136, 278, 352, 318, 323, 311, 2586, 323, 733, 439, 814, 18949, 13, 4056, 1, 791, 32725, 483, 323, 15128, 315, 279, 13041, 21080, 11, 22653, 29479, 2439, 702, 2028, 6573, 1908, 279, 682, 36823, 458, 9052, 9441, 902, 37779, 3201, 682, 2574, 37366, 323, 5614, 279, 330, 75710, 3131, 12886, 311, 279, 2638, 6830, 4581, 52013, 1, 1139, 279, 9441, 315, 330, 1820, 23347, 315, 304, 5118, 488, 1, 320, 39166, 33028, 482, 73050, 33028, 4390, 791, 16665, 315, 19225, 32186, 198, 48741, 290, 596, 44916, 315, 13513, 73888, 44660, 315, 264, 743, 315, 43422, 568, 14890, 3871, 304, 922, 220, 6860, 9827, 902, 9508, 311, 1862, 813, 5353, 323, 11, 810, 23659, 11, 568, 18010, 1884, 902, 1550, 539, 13, 2684, 574, 2697, 24811, 304, 1884, 2919, 439, 311, 1148, 65591, 73888, 13, 19412, 290, 596, 44916, 315, 13513, 73888, 28544, 4205, 22797, 311, 73050, 320, 39166, 8, 477, 816, 39, 20484, 11, 889, 19412, 290, 5602, 439, 459, 38279, 342, 1773, 13, 1115, 44916, 1047, 912, 6603, 505, 279, 25566, 22506, 320, 820, 61300, 323, 1367, 2234, 291, 4395, 902, 19412, 290, 6612, 1047, 1027, 3779, 555, 364, 11462, 2852, 388, 6, 304, 279, 68184, 84, 10176, 318, 9558, 57000, 318, 320, 943, 61300, 4390, 48741, 290, 596, 45572, 56696, 505, 8776, 32186, 11, 709, 311, 430, 1486, 304, 3925, 11, 304, 264, 1396, 315, 5627, 13, 7648, 29057, 19412, 290, 18010, 279, 4623, 430, 279, 25566, 22506, 480, 1773, 323, 279, 68184, 84, 10176, 318, 9558, 57000, 318, 480, 1773, 1051, 279, 1890, 1694, 13, 578, 8776, 9441, 1047, 6646, 279, 25566, 22506, 311, 387, 32442, 323, 19655, 430, 32186, 574, 264, 57383, 11, 477, 42271, 11, 315, 64283, 13, 19412, 290, 596, 38001, 315, 430, 4623, 11754, 1690, 2204, 83258, 323, 21463, 627, 12805, 19412, 290, 1047, 59624, 279, 9052, 87733, 11, 568, 1436, 1304, 813, 1162, 13, 330, 1383, 95545, 73888, 11, 568, 10666, 264, 8147, 1162, 1210, 4056, 48414, 11, 43455, 598, 323, 22125, 11, 520, 220, 17079, 627, 48741, 290, 596, 54641, 574, 264, 28040, 25959, 505, 430, 315, 279, 19225, 9052, 31012, 304, 902, 568, 1047, 15042, 709, 304, 13, 5422, 311, 813, 54641, 574, 279, 23035, 430, 1070, 1051, 3604, 1403, 330, 38, 1773, 82, 1210, 3861, 315, 1521, 330, 38, 1773, 82, 1, 574, 279, 480, 1773, 315, 279, 25566, 22506, 13, 1283, 574, 264, 6724, 2204, 11, 32415, 11, 5502, 1109, 279, 480, 1773, 315, 279, 68184, 84, 10176, 318, 9558, 57000, 318, 13, 10771, 311, 19412, 290, 11, 816, 596, 92336, 574, 279, 2027, 315, 279, 1561, 480, 1773, 13, 1115, 480, 1773, 574, 539, 816, 39, 20484, 11, 719, 279, 330, 16476, 480, 1773, 1, 14183, 311, 555, 7043, 304, 49918, 304, 813, 8982, 304, 46926, 13, 19412, 290, 78718, 279, 3878, 11, 330, 18788, 40214, 1, 323, 330, 3648, 40214, 1, 430, 32186, 5829, 311, 420, 1938, 13, 1226, 1005, 279, 4495, 5144, 315, 25566, 22506, 320, 1831, 8, 323, 68184, 84, 10176, 318, 9558, 57000, 318, 320, 6542, 4390, 47493, 2740, 11, 1063, 315, 19412, 290, 596, 7294, 12278, 365, 11, 7294, 9469, 269, 1494, 11, 323, 7294, 12, 7099, 89, 2850, 45572, 1766, 872, 1648, 1139, 21391, 32186, 323, 527, 2103, 5762, 439, 6913, 9052, 33235, 3432, 13, 10541, 279, 47647, 9778, 14610, 19412, 290, 264, 1077, 5411, 11, 814, 6925, 4523, 1534, 1790, 315, 813, 45572, 1139, 872, 1917, 10597, 1887, 482, 36693, 1697, 2191, 11, 10846, 40214, 11, 1561, 40214, 11, 323, 14039, 54641, 527, 264, 2478, 10507, 315, 19412, 290, 596, 83258, 2103, 7396, 323, 1511, 555, 279, 21720, 315, 5340, 66876, 13, 6104, 584, 527, 389, 279, 3917, 11, 5406, 1364, 374, 14183, 311, 439, 279, 386, 31367, 315, 4960, 66876, 13, 32186, 706, 927, 220, 1987, 11, 931, 62265, 811, 1917, 7029, 13, 1628, 814, 1833, 1063, 11, 422, 539, 682, 11, 315, 872, 27698, 7016, 627, 2127, 292, 64476, 40019, 279, 393, 18851, 33500, 19309, 510, 3957, 85744, 60, 1139, 279, 13041, 9441, 13, 1283, 374, 16475, 555, 3735, 3418, 8035, 84795, 315, 3842, 13, 3735, 3418, 8035, 14971, 279, 8993, 304, 279, 11226, 520, 94502, 90331, 323, 21881, 369, 682, 70184, 536, 66, 318, 598, 13, 25773, 430, 420, 374, 264, 27545, 330, 396, 17158, 3343, 1102, 574, 27115, 32762, 1139, 279, 13041, 13901, 3156, 220, 15257, 27809, 994, 433, 574, 1903, 459, 4033, 330, 72291, 6187, 1, 520, 279, 9251, 315, 29959, 64, 13, 42251, 279, 13041, 9441, 11, 52013, 2103, 13468, 57956, 613, 4856, 1109, 279, 84902, 2209, 85744, 19309, 627, 64464, 56254, 81, 14238, 813, 5629, 5345, 2508, 311, 279, 35414, 315, 22463, 389, 17981, 315, 279, 9441, 315, 22463, 13, 56254, 81, 2795, 430, 3771, 574, 279, 8681, 23950, 315, 279, 8775, 889, 6688, 279, 7658, 311, 42048, 13, 1952, 17981, 315, 279, 9441, 520, 22463, 11, 56254, 81, 6267, 320, 35, 532, 13, 445, 31200, 8, 430, 422, 814, 3782, 4028, 1274, 889, 1071, 814, 1051, 22125, 323, 430, 994, 814, 8636, 814, 1053, 733, 311, 23070, 11, 539, 311, 4510, 1124, 1606, 814, 1051, 539, 22125, 13, 1115, 574, 279, 1296, 315, 264, 837, 9052, 13, 1102, 574, 264, 559, 581, 61175, 339, 320, 3852, 86055, 6725, 902, 374, 64005, 315, 832, 596, 3674, 477, 15481, 6371, 8, 304, 279, 8993, 13, 9029, 889, 1071, 430, 994, 814, 8636, 814, 4024, 311, 23070, 1051, 480, 87524, 82509, 1105, 4184, 311, 56254, 81, 627, 58, 4897, 374, 2555, 358, 2011, 7655, 449, 13, 3053, 499, 1501, 757, 832, 3254, 73888, 11, 505, 41888, 311, 76607, 11, 1405, 433, 2795, 499, 733, 311, 23070, 994, 499, 2815, 94068, 128001, 128000, 53809, 11, 67038, 9282, 11, 93319, 9373, 19567, 11, 477, 8369, 4676, 8346, 701, 2547, 311, 506, 9537, 15962, 2663, 28566, 13, 87060, 374, 1057, 2547, 753, 13010, 311, 8798, 323, 8779, 37377, 1057, 2547, 9499, 13, 1102, 374, 264, 5410, 2547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17383, 430, 374, 16595, 304, 1057, 48131, 1920, 311, 7155, 1523, 13, 1102, 374, 1093, 264, 1841, 72389, 1113, 430, 3966, 311, 387, 65410, 1523, 26, 6062, 11, 279, 4817, 2834, 1431, 734, 12722, 323, 690, 387, 20727, 13, 10541, 81366, 374, 264, 4725, 1920, 315, 1057, 2547, 11, 17832, 477, 27639, 7565, 29579, 649, 5353, 264, 3575, 323, 7958, 701, 7446, 19433, 13, 1115, 374, 2663, 33832, 47553, 63412, 323, 1070, 527, 1063, 5627, 499, 649, 8209, 449, 27639, 81366, 13, 33424, 685, 362, 478, 49466, 304, 28138, 11940, 4409, 649, 1520, 499, 4322, 420, 3575, 627, 10445, 1587, 1057, 2547, 28566, 5380, 50, 906, 266, 374, 279, 87067, 315, 12290, 6108, 15962, 1555, 279, 82375, 315, 279, 6930, 13, 1102, 8779, 8335, 279, 2547, 753, 9499, 311, 5766, 6593, 4787, 1778, 439, 8798, 12943, 11, 34653, 11, 323, 279, 1093, 13, 578, 32257, 315, 279, 28566, 1587, 539, 7155, 1523, 279, 2547, 9499, 13, 12361, 11, 279, 3721, 96649, 1920, 374, 279, 832, 430, 80412, 279, 9499, 555, 51051, 279, 2547, 8798, 311, 279, 16975, 627, 3947, 527, 1403, 15324, 82375, 430, 506, 9537, 28566, 1389, 81760, 40101, 82375, 323, 5345, 78738, 82375, 13, 81760, 40101, 82375, 527, 54097, 1752, 28566, 430, 374, 7559, 682, 927, 1057, 2547, 13, 5345, 78738, 82375, 527, 6118, 304, 279, 65426, 11, 802, 1331, 1220, 11, 323, 98875, 13, 2435, 527, 11383, 5938, 449, 2547, 54097, 1606, 315, 279, 9546, 315, 279, 7013, 82714, 645, 13, 30688, 28566, 374, 54097, 1752, 719, 11, 994, 9709, 449, 24032, 304, 279, 2547, 11, 11384, 279, 40884, 22843, 13, 34496, 9547, 5353, 1855, 67169, 311, 14085, 323, 8356, 28566, 13, 28479, 5820, 31854, 279, 34014, 40101, 67169, 11, 1418, 14604, 25481, 1093, 23418, 2136, 11, 19788, 11, 18547, 11, 477, 14604, 8631, 8346, 3885, 627, 10445, 656, 584, 28566, 779, 1790, 5380, 39, 494, 25180, 4442, 323, 737, 76527, 649, 387, 832, 315, 279, 11384, 315, 3249, 1057, 13162, 506, 9537, 810, 15962, 13, 2435, 527, 8965, 5938, 449, 3026, 84110, 11, 20209, 11, 477, 87398, 13, 12369, 323, 21662, 1093, 1884, 430, 527, 48351, 527, 1101, 1063, 315, 279, 31854, 13, 1102, 5727, 2107, 9258, 292, 258, 11742, 430, 11705, 459, 41919, 311, 8450, 701, 2547, 430, 499, 527, 25051, 8798, 8617, 11, 75042, 81366, 13, 83681, 39670, 15846, 21662, 12992, 701, 6680, 7410, 323, 4851, 4478, 11, 902, 1101, 31854, 7565, 29579, 13, 13596, 21102, 8331, 374, 10368, 477, 3815, 904, 8987, 7106, 5820, 13, 3277, 499, 12157, 477, 1629, 11, 701, 2547, 8638, 311, 5891, 709, 11, 323, 701, 2547, 12302, 311, 8798, 709, 11, 52605, 279, 28566, 2077, 13, 578, 4676, 11335, 264, 961, 304, 433, 2288, 13, 20636, 4106, 9282, 1193, 11621, 41463, 311, 279, 2736, 8369, 2547, 11, 323, 81366, 374, 1057, 9232, 17383, 311, 2567, 433, 389, 279, 6220, 2237, 315, 9499, 13, 13596, 8331, 374, 14604, 35104, 477, 1101, 3967, 439, 8631, 28566, 13, 578, 3169, 315, 28566, 433, 19159, 4131, 505, 279, 34014, 40101, 82375, 11, 902, 6118, 50737, 17936, 13, 578, 8198, 4920, 420, 374, 430, 994, 499, 527, 14604, 1093, 8430, 19021, 11, 18290, 11, 23418, 11, 323, 279, 1093, 11, 701, 79492, 28335, 311, 6230, 709, 11, 28965, 8631, 44315, 11, 28987, 701, 4851, 4478, 311, 5376, 323, 22781, 287, 701, 24569, 11, 323, 3135, 311, 81366, 2077, 627, 3923, 374, 17508, 47553, 63412, 5380, 75046, 47553, 63412, 374, 264, 3169, 315, 3044, 430, 3135, 304, 27639, 81366, 13, 9029, 449, 17508, 47553, 63412, 6118, 7565, 23772, 520, 459, 5578, 315, 220, 20, 87, 810, 1109, 19664, 1274, 1053, 28566, 13, 578, 32659, 315, 27639, 81366, 3250, 1431, 14647, 617, 311, 617, 22900, 520, 682, 13, 1102, 649, 387, 1633, 29213, 11, 5423, 994, 499, 1505, 6261, 69975, 304, 28566, 13, 1102, 24266, 264, 28040, 23104, 389, 279, 24064, 323, 3674, 5990, 315, 279, 8893, 13, 2684, 527, 1403, 4595, 315, 17508, 47553, 63412, 627, 16, 13, 26150, 435, 3768, 33832, 47553, 63412, 198, 16352, 42199, 17508, 47553, 63412, 24400, 389, 832, 42199, 1486, 11, 1093, 389, 279, 13612, 315, 701, 7693, 11, 6206, 11, 3663, 11, 477, 802, 1331, 1220, 13, 4452, 11, 1070, 527, 912, 12195, 315, 27639, 81366, 2391, 6212, 13, 1115, 955, 315, 17508, 47553, 63412, 198, 61917, 12302, 304, 20587, 323, 649, 387, 28088, 323, 5946, 389, 311, 279, 1828, 9659, 627, 17, 13, 44634, 3331, 1534, 17508, 47553, 63412, 477, 1101, 3967, 439, 1891, 1366, 4692, 285, 198, 22427, 1366, 4692, 285, 24400, 389, 264, 8294, 3158, 315, 701, 2547, 11, 1093, 701, 1203, 11, 11977, 11, 64772, 11, 477, 14535, 13, 1102, 8741, 88558, 323, 22223, 264, 12190, 961, 315, 701, 2547, 430, 11383, 9057, 555, 264, 6593, 3044, 1778, 439, 4851, 8624, 11, 9572, 11, 12943, 11, 3026, 84110, 11, 323, 21271, 8624, 13, 27140, 279, 6156, 435, 3768, 33832, 47553, 63412, 11, 27639, 81366, 649, 3621, 2391, 6212, 627, 3923, 527, 279, 22972, 369, 17508, 47553, 63412, 5380, 2746, 81366, 5084, 311, 387, 704, 315, 2585, 323, 4442, 701, 1648, 315, 5496, 323, 22223, 701, 8244, 2324, 11, 4560, 1521, 4595, 315, 6514, 649, 30437, 433, 13, 4452, 11, 11125, 6593, 1520, 374, 279, 1888, 3072, 311, 2686, 701, 4747, 449, 279, 1314, 6514, 627, 16, 13, 1611, 50017, 519, 323, 3276, 59935, 5682, 1821, 198, 3947, 527, 2561, 927, 10826, 64289, 3276, 59935, 5682, 1821, 430, 499, 649, 7782, 2085, 264, 22866, 13, 1102, 649, 1520, 4465, 279, 54097, 323, 30437, 81366, 11, 5423, 389, 701, 1234, 16293, 13, 4452, 11, 3185, 6372, 649, 2997, 6453, 6147, 323, 24032, 1977, 709, 389, 1063, 3956, 627, 17, 13, 40708, 22972, 198, 43, 12351, 22972, 389, 1234, 16293, 656, 539, 30437, 279, 2547, 54097, 719, 1193, 13693, 701, 7565, 29579, 13, 10541, 279, 46835, 315, 24032, 1436, 387, 2753, 4245, 311, 279, 4814, 315, 7013, 505, 279, 6514, 11, 433, 2103, 1587, 539, 15803, 7315, 54097, 627, 18, 13, 54501, 12851, 811, 198, 14704, 25712, 369, 21308, 24099, 14117, 389, 279, 17508, 47553, 63412, 3044, 8720, 555, 701, 24096, 28378, 627, 19, 13, 426, 2117, 87, 26127, 198, 32, 478, 14122, 2740, 12365, 11, 426, 2117, 87, 374, 3967, 369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1202, 7294, 12, 4210, 18000, 719, 9987, 311, 1063, 11, 426, 2117, 87, 198, 258, 25593, 12576, 5157, 449, 17508, 47553, 63412, 13, 1102, 374, 832, 315, 279, 502, 5627, 311, 8108, 27639, 81366, 311, 2457, 13, 1102, 374, 30473, 12, 60751, 311, 4322, 279, 14560, 81366, 3044, 389, 872, 802, 1331, 1220, 13, 1102, 649, 1101, 30437, 81366, 389, 1023, 5596, 315, 279, 2547, 11, 1778, 439, 6206, 11, 7693, 11, 323, 3663, 627, 4438, 1587, 426, 2117, 87, 26127, 990, 5380, 258, 25593, 6782, 11164, 24292, 372, 98534, 13, 1102, 5829, 13987, 57267, 389, 701, 6930, 13, 1102, 4375, 555, 22978, 279, 23418, 1887, 8647, 369, 28566, 13, 8876, 426, 2117, 87, 1370, 5893, 32893, 264, 13651, 315, 701, 6930, 11, 279, 50581, 4250, 8450, 701, 28566, 82375, 311, 506, 9537, 15962, 13, 4452, 11, 426, 2117, 87, 4250, 3009, 701, 220, 1041, 4, 3346, 719, 649, 8108, 433, 505, 220, 2031, 4, 311, 220, 1954, 14697, 1102, 1253, 617, 8275, 44776, 2391, 279, 1920, 323, 1193, 1935, 264, 2478, 4520, 315, 6514, 449, 17832, 75954, 627, 4438, 1317, 649, 426, 2117, 87, 26127, 5471, 17508, 47553, 63412, 5380, 285, 539, 15690, 11, 719, 499, 649, 13334, 279, 6372, 449, 19815, 16079, 15910, 555, 701, 24687, 13, 426, 2117, 87, 753, 3135, 1101, 6904, 389, 701, 2547, 753, 13010, 323, 1566, 369, 4848, 4038, 311, 264, 1060, 627, 849, 87728, 81366, 2085, 904, 31854, 1436, 387, 264, 1879, 315, 17508, 47553, 63412, 3044, 13, 1102, 649, 12207, 7958, 701, 4367, 315, 2324, 11, 4827, 701, 659, 65906, 11, 323, 649, 8346, 18710, 13, 19048, 449, 17508, 47553, 63412, 374, 539, 264, 22380, 11, 323, 14188, 1288, 433, 387, 4529, 34504, 13, 44430, 889, 7831, 505, 420, 3044, 649, 88017, 311, 433, 1120, 1093, 92664, 77, 8611, 72, 12748, 13, 92664, 77, 374, 264, 3967, 29115, 315, 87060, 11736, 7471, 323, 374, 31978, 15109, 389, 19905, 477, 13739, 430, 4747, 17508, 47553, 63412, 13, 3005, 374, 264, 6721, 1344, 332, 380, 304, 1561, 4356, 13, 3005, 47521, 17508, 47553, 63412, 304, 1077, 6206, 323, 7693, 2533, 1364, 574, 3995, 13, 6385, 1450, 50511, 1725, 449, 28566, 304, 2753, 1109, 264, 9568, 11, 3339, 1077, 7446, 990, 323, 82569, 17436, 311, 656, 13, 3005, 594, 13909, 311, 12512, 36516, 11, 539, 12512, 21818, 10539, 477, 81357, 11, 902, 6197, 311, 279, 4814, 315, 12410, 323, 18710, 627, 3923, 2209, 578, 31969, 1789, 33832, 47553, 63412, 5380, 53809, 11, 67038, 9282, 11, 93319, 9373, 19567, 11, 477, 8369, 4676, 8346, 701, 2547, 311, 506, 9537, 15962, 2663, 28566, 13, 87060, 374, 1057, 2547, 753, 13010, 311, 8798, 323, 8779, 37377, 1057, 2547, 9499, 13, 1102, 374, 264, 5410, 2547, 17383, 430, 374, 16595, 304, 1057, 48131, 1920, 311, 7155, 1523, 13, 1102, 374, 1093, 264, 1841, 72389, 1113, 430, 3966, 311, 387, 65410, 1523, 26, 6062, 11, 279, 4817, 2834, 1431, 734, 12722, 323, 690, 387, 20727, 13, 10541, 81366, 374, 264, 4725, 1920, 315, 1057, 2547, 11, 17832, 477, 27639, 7565, 29579, 649, 5353, 264, 3575, 323, 7958, 701, 7446, 19433, 13, 2684, 527, 1063, 5627, 499, 649, 8209, 449, 27639, 81366, 1093, 426, 2117, 87, 13, 33424, 685, 362, 478, 49466, 198, 258, 28138, 11940, 4409, 649, 1520, 499, 4322, 420, 3575, 13, 128001, 128000, 791, 16963, 7675, 34871, 5008, 198, 49552, 24623, 5788, 7612, 1633, 24473, 2038, 389, 279, 8670, 315, 279, 7982, 24623, 311, 6106, 430, 512, 12, 578, 10065, 649, 3237, 1202, 837, 4754, 369, 16025, 6650, 198, 12, 2895, 2277, 71659, 649, 387, 41834, 198, 12, 7943, 4114, 37493, 527, 539, 39928, 198, 12, 25027, 1499, 1516, 374, 82178, 198, 791, 1455, 7524, 1648, 315, 26679, 8670, 323, 14847, 315, 8961, 10099, 374, 1555, 1005, 315, 19576, 4211, 13, 5810, 279, 24623, 374, 15609, 555, 264, 4101, 315, 37072, 39006, 31799, 19465, 11, 41861, 11, 43226, 11, 12434, 323, 53194, 44247, 627, 791, 16963, 7675, 49654, 34871, 5008, 374, 1778, 264, 1646, 13, 1102, 574, 1176, 44224, 304, 220, 2550, 20, 555, 13330, 20556, 6709, 323, 26475, 8013, 39700, 320, 1905, 45, 570, 11450, 433, 374, 264, 15325, 41537, 1646, 369, 8518, 1005, 430, 374, 2225, 16195, 323, 42779, 13, 1102, 374, 3196, 389, 5222, 12624, 6677, 11, 15107, 505, 2225, 279, 17649, 323, 505, 264, 1396, 315, 304, 37002, 19622, 13, 1102, 706, 1101, 1027, 42817, 33432, 304, 8518, 6725, 627, 12, 33810, 287, 279, 5178, 315, 279, 24623, 1234, 264, 7029, 8205, 315, 4787, 198, 12, 32459, 1113, 279, 8670, 323, 14847, 315, 279, 7982, 24623, 1234, 29865, 6067, 315, 10177, 894, 11, 6373, 323, 2890, 26, 449, 2204, 4173, 22583, 323, 76032, 198, 12, 40498, 287, 50123, 8670, 11, 41943, 323, 26040, 15174, 369, 49910, 520, 682, 18094, 315, 6650, 505, 220, 508, 311, 220, 4364, 87822, 2547, 4870, 198, 12, 76198, 1113, 7100, 16296, 315, 4442, 304, 5510, 477, 26040, 1887, 11, 56104, 11, 40856, 4785, 477, 66288, 5226, 198, 12, 81745, 11, 1296, 323, 32113, 389, 502, 35496, 11, 3956, 323, 26040, 61911, 198, 12, 45377, 12576, 311, 41468, 279, 32874, 315, 24623, 6650, 198, 12, 73177, 367, 315, 5788, 5178, 198, 12, 7127, 287, 3495, 323, 4500, 19622, 198, 2520, 810, 2038, 4587, 3729, 13330, 20556, 6709, 2167, 13, 128001, 128000, 53304, 511, 4306, 70504, 51715, 307, 367, 11, 320, 4977, 46, 705, 374, 279, 6685, 12, 32056, 13010, 1920, 430, 8741, 994, 459, 1054, 42821, 2058, 9520, 304, 420, 1162, 67957, 85311, 3177, 45220, 11, 374, 17550, 389, 264, 1054, 34, 4306, 599, 9520, 264, 46258, 7479, 49482, 449, 80454, 423, 37901, 13, 578, 11742, 13010, 19159, 6928, 323, 8389, 65125, 430, 4335, 279, 3805, 13, 1115, 1920, 13980, 304, 7138, 1701, 279, 30136, 45220, 315, 279, 7160, 311, 14085, 449, 3805, 35715, 311, 1893, 28772, 2065, 304, 279, 16975, 627, 4977, 46, 706, 1027, 1511, 369, 1690, 1667, 311, 4335, 323, 64842, 3836, 30619, 3805, 22484, 11, 2737, 389, 279, 7327, 11746, 17040, 311, 3493, 264, 4335, 3805, 4676, 369, 69522, 13, 6812, 46, 706, 17033, 304, 927, 220, 1272, 1667, 315, 7978, 10887, 555, 4948, 4717, 9678, 51048, 323, 23978, 311, 7066, 279, 35693, 6070, 315, 78284, 11, 2737, 682, 2380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6989, 315, 42068, 627, 791, 393, 5808, 566, 17007, 6812, 46, 1920, 374, 459, 11084, 1376, 315, 18235, 511, 4306, 70504, 51715, 307, 367, 11, 449, 264, 63712, 51483, 2849, 2955, 430, 27983, 459, 31069, 28772, 17915, 304, 264, 6812, 46, 3756, 369, 7191, 3805, 94536, 5845, 11, 1418, 1701, 1193, 6220, 11, 2536, 16405, 8855, 30136, 13001, 311, 1893, 279, 28772, 2065, 369, 409, 9035, 1113, 42068, 323, 1023, 30619, 83661, 627, 791, 393, 5808, 566, 17007, 11084, 6812, 46, 1920, 11705, 28066, 315, 21277, 6962, 35715, 304, 279, 3805, 584, 37397, 13, 578, 6812, 46, 1920, 5829, 459, 5419, 30136, 3177, 320, 1820, 3521, 2058, 8, 430, 69945, 449, 264, 71404, 40589, 7479, 31524, 51483, 8, 311, 8356, 279, 6928, 323, 48291, 11684, 65125, 430, 67345, 78284, 627, 3923, 527, 65125, 30, 1556, 28772, 374, 459, 19670, 477, 43030, 430, 706, 18661, 477, 5675, 459, 17130, 11, 7231, 433, 264, 6928, 477, 8389, 20314, 6900, 13, 3277, 65125, 834, 82344, 6957, 264, 3634, 11, 814, 14085, 449, 3254, 1824, 15556, 44304, 311, 31085, 872, 35693, 79348, 323, 7066, 279, 2849, 13, 4740, 16628, 11, 279, 35715, 9229, 872, 20314, 6900, 323, 527, 6004, 1203, 1139, 279, 3805, 439, 3090, 38752, 627, 47, 5808, 566, 17007, 529, 11084, 323, 63712, 51483, 2955, 6276, 279, 1005, 315, 459, 5419, 30136, 3177, 430, 19159, 912, 77537, 555, 68973, 13, 1115, 374, 1903, 3284, 4245, 311, 279, 5016, 312, 50725, 4776, 2955, 315, 279, 51483, 42742, 430, 8356, 459, 48298, 1579, 17915, 315, 65125, 304, 264, 6812, 46, 3756, 11, 369, 7191, 64842, 13421, 5845, 627, 5847, 3805, 323, 7479, 64842, 13421, 369, 13077, 449, 7241, 6222, 555, 1274, 627, 26747, 912, 16405, 8855, 5788, 315, 65125, 449, 31069, 17915, 369, 7319, 27375, 304, 264, 6975, 4676, 627, 95880, 6812, 46, 315, 3805, 323, 27529, 430, 1274, 2586, 304, 3345, 3729, 449, 627, 34, 22451, 11995, 6690, 323, 1398, 3950, 28479, 8242, 7760, 198, 47, 5808, 566, 17007, 3956, 1005, 459, 10106, 6812, 46, 1920, 13, 12362, 3805, 439, 279, 11298, 311, 6493, 65125, 6957, 279, 4553, 3130, 3135, 304, 279, 64842, 13421, 315, 904, 71134, 519, 15246, 311, 279, 3805, 11, 2737, 42631, 7118, 90592, 13, 8876, 420, 28772, 1534, 3805, 19015, 1475, 15246, 7479, 304, 279, 3130, 11, 433, 1101, 35294, 2653, 4791, 5621, 613, 27529, 13942, 555, 1450, 1824, 60051, 477, 11947, 8201, 13711, 11, 902, 527, 28979, 323, 1397, 3805, 311, 4319, 6468, 1555, 279, 5089, 304, 2015, 311, 387, 35294, 291, 627, 4599, 499, 20206, 264, 393, 5808, 566, 17007, 6812, 46, 6690, 14874, 3125, 304, 11, 433, 12302, 311, 990, 389, 264, 19815, 220, 1187, 14, 22, 8197, 311, 67345, 42068, 11, 24032, 11, 323, 1023, 78284, 304, 279, 3805, 323, 389, 15246, 27529, 13, 7089, 6067, 11, 1778, 439, 11742, 8314, 954, 11, 690, 1193, 64842, 3836, 27529, 11, 422, 814, 527, 1511, 10489, 13, 24296, 11, 3131, 279, 1450, 84239, 477, 83636, 374, 8308, 11, 279, 27529, 649, 3719, 20134, 311, 502, 47810, 1606, 279, 1920, 374, 539, 19815, 627, 41481, 315, 10106, 6812, 46, 67450, 512, 4599, 4423, 40700, 82, 477, 21423, 10333, 288, 304, 264, 3130, 1694, 12020, 449, 28979, 3805, 4087, 12099, 11, 1778, 439, 11947, 8201, 13711, 11, 904, 78284, 320, 21470, 439, 33333, 8, 2011, 3351, 1555, 279, 3634, 1203, 311, 279, 8571, 5089, 1405, 433, 374, 14890, 555, 264, 4141, 627, 47, 5808, 566, 17007, 6812, 46, 22815, 96835, 65125, 1139, 279, 3805, 409, 9035, 1113, 78284, 439, 5246, 439, 814, 4295, 279, 3805, 11, 1603, 19261, 1023, 1274, 304, 279, 3130, 11, 2085, 23537, 35855, 1555, 264, 4141, 627, 2367, 16204, 27529, 449, 11742, 8314, 954, 7612, 96278, 6666, 311, 3504, 17277, 1274, 2586, 304, 3729, 449, 1521, 7634, 13, 1102, 374, 4228, 311, 3194, 27529, 389, 902, 83661, 527, 5496, 627, 47, 5808, 566, 17007, 10106, 6812, 46, 690, 9651, 5662, 682, 15246, 27529, 11, 47208, 323, 409, 9035, 1113, 682, 78284, 430, 1253, 3073, 1070, 627, 13617, 315, 70067, 6812, 46, 67450, 512, 32, 3130, 430, 374, 49266, 477, 78721, 449, 11742, 64842, 3836, 519, 690, 387, 4335, 369, 264, 2875, 4261, 315, 892, 13, 1102, 7612, 11763, 323, 5912, 64842, 13421, 311, 3493, 264, 4335, 30619, 4676, 13, 3277, 14365, 527, 9107, 323, 502, 1274, 3810, 279, 3130, 11, 433, 374, 20134, 311, 4726, 47810, 627, 791, 393, 5808, 566, 17007, 70067, 6812, 46, 1920, 2646, 89678, 1022, 13, 3277, 7931, 477, 5315, 315, 1274, 4319, 6468, 6957, 279, 3130, 11, 279, 3805, 323, 15246, 27529, 3136, 311, 5371, 3729, 449, 279, 28772, 1534, 3805, 35715, 11, 369, 99250, 64842, 13421, 627, 32, 549, 815, 13, 25589, 22973, 393, 5808, 566, 17007, 753, 1828, 37564, 2849, 2955, 574, 11938, 304, 220, 2366, 15, 13, 578, 7447, 16677, 1037, 2955, 27053, 30136, 3177, 4871, 279, 6332, 810, 30820, 1109, 904, 1023, 99336, 4306, 599, 8040, 13, 9062, 25879, 374, 27367, 311, 8881, 30136, 3177, 8800, 279, 1203, 3185, 315, 279, 25879, 1828, 311, 433, 11, 24038, 459, 31069, 17915, 315, 65125, 304, 264, 6812, 46, 3756, 430, 690, 5266, 12908, 709, 311, 220, 18, 11, 931, 18522, 13, 10702, 627, 791, 5016, 34548, 61002, 390, 950, 6211, 4726, 12992, 28772, 9659, 555, 7859, 3729, 892, 449, 279, 56563, 71404, 51180, 7479, 627, 2028, 30191, 2955, 5825, 279, 7928, 3158, 315, 29219, 10401, 2403, 78284, 449, 279, 25655, 43972, 323, 15821, 4907, 15652, 315, 904, 30139, 2027, 389, 279, 3157, 627, 19791, 315, 9678, 14830, 7177, 60597, 69772, 279, 27375, 315, 6812, 46, 5557, 311, 67345, 264, 8205, 315, 78284, 512, 10149, 393, 5808, 566, 17007, 7066, 38074, 12, 777, 30, 578, 5557, 1511, 555, 393, 5808, 566, 17007, 706, 1027, 17033, 311, 7066, 682, 2380, 4595, 315, 17188, 14726, 2737, 1054, 268, 1851, 291, 42068, 863, 1093, 473, 16, 45, 16, 323, 473, 20, 45, 16, 430, 527, 763, 1517, 10529, 4458, 42068, 21771, 439, 1765, 12184, 988, 311, 320, 50, 17485, 87271, 53, 12, 17, 8, 38074, 12, 777, 627, 11439, 311, 27250, 323, 40409, 17959, 11, 279, 393, 5808, 566, 17007, 6812, 46, 5557, 374, 6646, 7524, 520, 21277, 4954, 320, 50, 17485, 87271, 53, 12, 17, 8 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 26664, 12, 777, 323, 904, 315, 1202, 85922, 11028, 304, 279, 3805, 323, 389, 27529, 627, 791, 393, 5808, 566, 17007, 6812, 46, 3956, 1101, 13750, 7066, 1054, 6414, 21430, 1851, 291, 42068, 863, 1093, 8170, 869, 17402, 11, 902, 374, 264, 16127, 17188, 311, 67345, 11, 323, 706, 35901, 1027, 264, 3682, 5353, 315, 6129, 49909, 323, 16779, 304, 1063, 6593, 5110, 13, 578, 8351, 374, 11411, 311, 8738, 41265, 7649, 439, 279, 16665, 369, 1202, 8661, 30622, 13, 128001, 128000, 791, 841, 511, 45692, 50829, 264, 11944, 18112, 430, 374, 14090, 34683, 4028, 2204, 16003, 5789, 323, 1990, 9606, 13, 1115, 706, 6197, 311, 279, 4623, 315, 264, 4279, 83619, 12384, 430, 1234, 49201, 682, 13878, 315, 21063, 11, 4221, 11, 323, 3463, 13, 13440, 1778, 264, 4279, 12384, 6866, 323, 1148, 433, 1436, 387, 706, 1027, 59674, 369, 11026, 13, 5751, 2128, 706, 11223, 459, 4320, 311, 1521, 4860, 11, 902, 584, 1650, 279, 75453, 3320, 1771, 31535, 315, 22107, 13, 1226, 30714, 430, 279, 8244, 5915, 315, 279, 841, 511, 45692, 374, 311, 4048, 264, 1646, 315, 279, 1917, 13, 578, 1646, 374, 4332, 304, 430, 1475, 83619, 3330, 374, 264, 4686, 49069, 1474, 10088, 34579, 1887, 13, 54673, 4048, 555, 61853, 49069, 828, 311, 10687, 304, 5905, 14418, 11, 6089, 5552, 311, 1268, 5950, 7917, 323, 2035, 7917, 4048, 4211, 315, 22484, 13, 33025, 315, 904, 4040, 1665, 11, 1778, 439, 264, 11033, 10747, 11, 374, 4332, 4315, 9214, 315, 3330, 277, 4211, 304, 2204, 49069, 13531, 1385, 13, 578, 8310, 1005, 264, 16043, 17383, 311, 5662, 264, 24811, 315, 1148, 814, 527, 46071, 13, 763, 420, 3137, 11, 584, 690, 3041, 459, 24131, 315, 578, 75453, 3320, 1771, 31535, 315, 22107, 11, 4358, 3293, 46763, 24654, 430, 1862, 279, 10334, 11, 4358, 1268, 1057, 14955, 649, 7417, 6484, 21075, 30828, 14488, 11, 323, 1893, 264, 69917, 369, 502, 15592, 78335, 13, 70687, 1101, 706, 264, 502, 2363, 25891, 11, 362, 75453, 3320, 1771, 11, 362, 1561, 31535, 315, 22107, 430, 16964, 279, 10334, 323, 1202, 25127, 627, 39727, 70687, 11, 264, 18247, 56447, 380, 323, 2869, 16549, 11, 374, 279, 1080, 36927, 315, 452, 1143, 64, 11, 264, 93048, 3495, 2883, 26, 19533, 315, 279, 3816, 6798, 85879, 10181, 320, 3409, 279, 3816, 6798, 5955, 369, 578, 91867, 85879, 520, 549, 732, 13, 33108, 1237, 323, 832, 315, 279, 48727, 315, 279, 2115, 315, 66049, 25213, 13, 1283, 374, 264, 4562, 315, 279, 5165, 16192, 315, 17005, 323, 3229, 315, 1952, 22107, 323, 362, 75453, 3320, 1771, 11, 362, 1561, 31535, 315, 22107, 627, 3214, 332, 2192, 55417, 11, 30661, 11, 374, 279, 37110, 315, 8483, 520, 452, 1143, 64, 11, 449, 3217, 304, 55580, 93048, 11, 5655, 6975, 11, 323, 6500, 11376, 13, 5414, 3495, 12034, 527, 10968, 389, 6968, 264, 11944, 10334, 315, 279, 841, 511, 45692, 11, 323, 19486, 1202, 19476, 311, 5780, 6975, 13, 128001, 128000, 46864, 88, 307, 1229, 332, 65, 320, 7098, 69391, 71722, 25, 510, 135, 230, 82, 1662, 73, 133, 103, 67, 220, 135, 230, 80, 134, 232, 83, 135, 97, 65, 2526, 320, 276, 30109, 51224, 11, 5837, 291, 11, 58980, 88, 307, 11, 25961, 307, 11, 477, 25961, 291, 26, 735, 1295, 65, 11, 1229, 332, 392, 11, 62763, 65, 11, 477, 97007, 65, 8, 320, 7098, 69391, 25, 60942, 100526, 105077, 22071, 26, 6664, 220, 24, 11, 220, 7028, 21, 1389, 6287, 220, 1682, 11, 220, 5162, 21, 8, 19112, 459, 33589, 3229, 11, 72146, 11, 52593, 11, 40360, 11, 459, 279, 3063, 258, 15558, 90602, 1122, 297, 279, 33589, 10451, 3320, 2544, 71, 2480, 304, 279, 220, 6280, 15, 82, 459, 364, 1399, 82, 627, 7279, 297, 220, 1187, 1048, 68991, 11, 1836, 258, 32963, 11, 32465, 264, 20242, 529, 43665, 11, 16502, 2857, 389, 6873, 11, 568, 374, 1888, 114005, 304, 279, 10451, 4208, 509, 369, 813, 51468, 389, 421, 64, 568, 11846, 259, 6043, 387, 279, 3674, 459, 26078, 45608, 3560, 297, 15256, 11, 8104, 304, 813, 387, 84, 2857, 9983, 12007, 459, 11583, 83508, 318, 9314, 2922, 9469, 2850, 80, 320, 44, 458, 33610, 570, 5414, 4983, 2470, 1200, 355, 11, 40971, 1901, 321, 278, 453, 29342, 324, 62595, 320, 644, 279, 28601, 297, 279, 68211, 62595, 705, 374, 264, 220, 966, 67868, 31710, 389, 279, 68211, 62595, 627, 13461, 3582, 7643, 380, 297, 813, 24654, 459, 19347, 21248, 83349, 520, 279, 10451, 4208, 509, 11, 1229, 332, 65, 374, 459, 30109, 114005, 369, 813, 834, 55539, 297, 279, 8396, 459, 4612, 324, 297, 279, 8113, 275, 4273, 902, 568, 5602, 439, 44898, 24129, 3769, 2191, 459, 9349, 13, 25987, 389, 1229, 332, 65, 13592, 13882, 13, 1283, 6520, 288, 1027, 7633, 6160, 15879, 439, 264, 2294, 264, 2154, 380, 459, 90408, 369, 15256, 11, 719, 6160, 1647, 88, 468, 561, 1466, 37643, 439, 459, 68, 889, 27367, 279, 6848, 297, 15256, 1705, 459, 8104, 297, 20320, 5315, 1778, 439, 1708, 54118, 578, 1938, 11, 813, 15879, 527, 264, 26117, 11054, 439, 1229, 332, 65, 1705, 477, 330, 48, 332, 8385, 498, 3582, 814, 3067, 68, 912, 577, 1082, 279, 4751, 259, 6043, 7664, 270, 4825, 2053, 627, 32812, 23876, 3671, 765, 384, 3671, 779, 16716, 933, 12, 4427, 8336, 320, 68, 1326, 2637, 549, 815, 13, 11896, 315, 8151, 8, 3041, 220, 7028, 18, 627, 12, 60145, 2068, 5270, 520, 279, 5425, 43791, 627, 12, 6941, 43179, 423, 11310, 273, 11, 362, 50015, 763, 66912, 98850, 220, 1049, 24, 12, 2371, 12, 777, 520, 279, 31788, 5000, 30802, 89289, 22168, 198, 12, 364, 48, 332, 65, 25, 28232, 38256, 1628, 1183, 3359, 88, 6, 555, 473, 819, 309, 21252, 26355, 57618, 31933, 5676, 11, 362, 13, 35217, 36287, 304, 279, 31158, 13381, 25, 220, 11128, 23, 4235, 7285, 24, 13, 24562, 3907, 8612, 11, 220, 5162, 17, 13, 323, 31038, 11, 12131, 328, 13, 578, 13581, 315, 578, 10451, 50336, 13, 26275, 3907, 8612, 11, 220, 5162, 24, 627, 12, 32567, 449, 2999, 93391, 386, 606, 318, 3765, 360, 74311, 283, 71, 1389, 33589, 10451, 50336, 7808, 98850, 220, 1049, 23, 12, 2304, 12, 605, 520, 279, 105761, 13257, 3297, 220, 23 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 220, 1049, 23, 198, 12, 330, 46864, 88, 307, 1229, 332, 65, 555, 41769, 4072, 16222, 2836, 11, 14306, 3343, 98850, 6816, 68, 279, 4113, 389, 220, 1627, 6250, 220, 2366, 16, 13, 58891, 220, 605, 386, 1334, 331, 220, 679, 16, 627, 12, 578, 83342, 30444, 52484, 358, 14521, 3296, 11291, 445, 13, 80099, 12086, 13, 972, 4235, 508, 198, 12, 8563, 12227, 7678, 11, 330, 3957, 420, 279, 893, 889, 14948, 30444, 52484, 7673, 578, 25460, 320, 34827, 220, 16, 11, 220, 1049, 16, 4390, 12, 7043, 426, 4858, 11, 330, 791, 7302, 46459, 315, 15558, 38256, 498, 1561, 4356, 8691, 22168, 320, 28623, 220, 1419, 11, 220, 1049, 18, 4390, 12, 4470, 315, 279, 67549, 25, 8049, 26098, 362, 36533, 3083, 8743, 53076, 643, 75250, 15942, 50125, 198, 12, 578, 38321, 315, 1708, 57985, 25, 83342, 9736, 52484, 323, 31229, 5444, 370, 453, 11419, 277, 80, 41978, 198, 12, 1229, 332, 65, 2191, 25, 1556, 14123, 2508, 315, 15558, 7424, 5171, 2191, 98850, 220, 1049, 22, 12, 2705, 12, 2545, 520, 279, 105761, 13257, 555, 37828, 356, 13, 469, 1609, 2727, 1291, 13, 5659, 13831, 11, 12531, 220, 1049, 22, 11, 12086, 13, 220, 5313, 4235, 3264, 627, 91, 84617, 28034, 26667, 6520, 288, 3772, 91903, 275, 259, 6043, 25961, 88, 307, 1229, 332, 65, 57370, 128001, 128000, 791, 502, 1825, 10092, 29804, 1920, 198, 6854, 21398, 649, 1457, 3881, 477, 88400, 4423, 369, 264, 10092, 18101, 627, 12834, 39144, 367, 304, 220, 9714, 22, 11, 12152, 54818, 617, 2744, 1027, 21489, 555, 279, 24245, 3331, 389, 279, 9650, 315, 279, 12801, 9675, 11, 264, 1920, 430, 8625, 279, 1162, 3432, 13, 4452, 11, 12801, 9675, 23278, 44809, 1457, 3727, 813, 1866, 19075, 2768, 459, 1825, 11, 6916, 753, 3160, 323, 38559, 6108, 29804, 1920, 627, 791, 10092, 574, 50178, 555, 7008, 753, 48727, 439, 459, 21489, 25199, 315, 20302, 430, 1053, 2804, 5865, 2001, 1778, 439, 27743, 3477, 2001, 304, 264, 58535, 11827, 311, 279, 16689, 4783, 315, 26667, 13, 9393, 814, 1051, 311, 387, 21489, 11, 54818, 1053, 387, 4726, 7108, 505, 279, 49638, 5054, 25946, 1109, 872, 5526, 398, 16689, 38495, 11, 10923, 369, 19858, 18361, 315, 13543, 2949, 264, 2753, 49638, 2317, 13, 578, 5915, 574, 369, 264, 10092, 10968, 389, 50505, 2132, 3463, 430, 11105, 279, 24196, 315, 15481, 323, 23413, 12034, 304, 7008, 627, 11458, 11, 927, 279, 3388, 315, 1202, 3925, 11, 279, 10092, 706, 17011, 19347, 439, 264, 29918, 8061, 369, 36380, 425, 11, 369, 87657, 304, 459, 87146, 49638, 11827, 323, 369, 3515, 1202, 21835, 811, 41305, 291, 449, 555, 279, 11145, 320, 16564, 279, 12801, 9675, 753, 8410, 570, 4314, 3752, 8200, 13824, 43868, 279, 10092, 505, 50698, 1202, 10825, 3560, 323, 4726, 80617, 433, 449, 279, 586, 627, 644, 6790, 220, 679, 20, 11, 279, 1510, 10423, 7376, 264, 502, 6916, 753, 3160, 2547, 311, 32113, 279, 12801, 9675, 389, 10092, 37256, 13, 63909, 11, 279, 10423, 9749, 459, 9678, 41537, 4580, 449, 264, 35381, 311, 3493, 38559, 6108, 19075, 369, 10092, 37256, 13, 578, 9395, 374, 311, 31087, 264, 2753, 49638, 10092, 430, 374, 810, 9678, 323, 2731, 2288, 839, 311, 21054, 1202, 16996, 3560, 439, 264, 58535, 8427, 311, 279, 4783, 315, 26667, 627, 1271, 5266, 10092, 67751, 11, 279, 41537, 4580, 6575, 449, 36031, 11351, 311, 10765, 60142, 13, 5112, 11, 304, 5887, 220, 679, 21, 11, 279, 10423, 18719, 15337, 36262, 311, 3881, 311, 387, 54818, 13, 578, 41537, 4580, 374, 51920, 449, 47614, 60142, 323, 32177, 3196, 389, 279, 2768, 38559, 6108, 13186, 512, 12, 55057, 54818, 690, 387, 6646, 449, 264, 5915, 315, 32145, 10026, 8335, 304, 279, 10092, 11, 449, 264, 10844, 2728, 311, 1884, 889, 4097, 47103, 11, 23413, 323, 22277, 10977, 627, 12, 10541, 3347, 5054, 7640, 656, 539, 834, 1788, 1463, 459, 3927, 11, 32177, 2011, 20461, 459, 5845, 311, 4546, 9678, 323, 2536, 4581, 17570, 39555, 311, 279, 10092, 627, 12, 55057, 54818, 527, 3685, 311, 387, 42066, 922, 279, 27743, 1920, 323, 279, 12152, 18039, 11, 2737, 279, 10092, 753, 3560, 439, 264, 58535, 25199, 315, 50505, 2132, 3463, 11, 15481, 13340, 323, 23413, 13340, 627, 12, 50281, 323, 17025, 690, 387, 6646, 439, 961, 315, 264, 4754, 23072, 753, 5845, 311, 8854, 627, 12, 38000, 483, 288, 2011, 15575, 832, 315, 279, 2768, 25, 5199, 3217, 304, 279, 27743, 1920, 323, 586, 2532, 11, 15324, 3335, 315, 4029, 2532, 11, 477, 11692, 323, 26501, 304, 264, 4913, 477, 2115, 315, 19248, 627, 37412, 483, 288, 2011, 1101, 3449, 279, 2768, 63285, 8670, 9, 512, 12, 2435, 2011, 387, 520, 3325, 220, 966, 1667, 2362, 11, 323, 912, 9191, 1109, 220, 2075, 320, 1820, 23911, 21624, 4325, 369, 54818, 4390, 12, 2435, 2011, 387, 264, 19504, 315, 279, 17271, 814, 527, 21489, 311, 4097, 627, 12, 2435, 2011, 1866, 3424, 449, 264, 907, 315, 400, 19, 11, 931, 304, 279, 17271, 814, 527, 21489, 311, 4097, 627, 791, 41537, 4580, 374, 8647, 369, 8405, 264, 2536, 65500, 2875, 1638, 315, 4754, 54818, 311, 279, 12801, 9675, 627, 9, 20190, 3046, 505, 35195, 527, 21489, 311, 4097, 264, 3230, 34941, 13096, 13, 4314, 54818, 2011, 3449, 3424, 46160, 304, 872, 1866, 34941, 13096, 477, 387, 11062, 304, 430, 34941, 13096, 13, 128001, 128000, 18398, 4147, 439, 459, 3062, 8331, 315, 22556, 4500, 555, 6625, 11351, 11, 2678, 33489, 706, 264, 8147, 3560, 304, 44169, 61593, 11050, 55293, 320, 5608, 82252, 570, 12220, 264, 3691, 11501, 11, 709, 43591, 2678, 20957, 529, 3268, 323, 29269, 872, 1888, 12034, 374, 520, 279, 6332, 315, 279, 83662, 11344, 10734, 5856, 753, 7446, 18909, 627, 93031, 279, 24867, 11, 2678, 3070, 34324, 527, 1234, 6023, 13, 763, 1690, 5596, 315, 279, 1917, 11, 39678, 32538, 11, 3070, 20957, 11, 323, 2678, 4346, 3691, 24190, 527, 1694, 49246, 505, 872, 12098, 627, 8607, 315, 1124, 527, 1694, 25984, 398, 41998, 369, 872, 13957, 13, 5659, 4029, 6164, 311, 4363, 1752, 8961, 56058, 11, 279, 3293, 13515, 706, 3970, 264, 2466, 29905, 2065, 315, 23053, 8603, 11039, 369, 264, 2731, 3938, 369, 682, 22706, 627, 644, 279, 3663, 315, 2678, 20957, 529, 14993, 369, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28677, 1908, 2324, 323, 7100, 4868, 11, 2466, 945, 299, 25341, 527, 7859, 872, 7410, 389, 17047, 11, 50030, 279, 4363, 323, 34537, 1124, 1139, 6908, 40774, 1824, 42816, 6136, 811, 13, 1666, 264, 1121, 11, 279, 29149, 4363, 374, 10671, 810, 323, 810, 38626, 304, 279, 6206, 315, 2478, 25341, 11, 67770, 315, 2678, 20957, 529, 8824, 311, 3412, 704, 2403, 6926, 40850, 11, 387, 433, 279, 15748, 9282, 4787, 5938, 449, 10182, 2349, 11, 39388, 54643, 3691, 7729, 5552, 311, 81069, 11, 323, 76606, 29149, 10396, 323, 15174, 2225, 98890, 323, 37545, 627, 24798, 2167, 8070, 1862, 11, 19883, 19641, 7729, 11, 22538, 304, 14054, 11, 323, 3157, 11193, 11, 29149, 43121, 617, 779, 3117, 6476, 459, 3062, 3560, 304, 66388, 3070, 20957, 323, 20958, 34076, 19624, 10977, 304, 34781, 315, 279, 49068, 315, 11774, 430, 2678, 20957, 3663, 627, 4599, 304, 6250, 220, 2366, 15, 11, 279, 7904, 3109, 5946, 2380, 8961, 19123, 11, 584, 617, 29905, 1534, 682, 1057, 8603, 311, 2559, 555, 59310, 20957, 11, 9298, 304, 1521, 7016, 264, 8137, 539, 1193, 369, 6890, 753, 719, 682, 2678, 20957, 439, 3544, 5569, 33489, 304, 6890, 1053, 1893, 810, 10937, 369, 1124, 2212, 279, 1917, 11, 323, 279, 2466, 5220, 690, 387, 3025, 311, 3085, 23917, 7729, 323, 8294, 27378, 430, 2678, 34324, 4250, 20874, 449, 13, 1115, 690, 3063, 311, 7319, 19542, 539, 1193, 304, 6890, 719, 2212, 279, 1917, 13, 1226, 14618, 704, 430, 7016, 6155, 402, 1994, 279, 3723, 19687, 320, 1899, 8, 42021, 315, 10734, 315, 5250, 300, 1821, 323, 7089, 9029, 22938, 304, 58320, 56816, 220, 679, 23, 11, 323, 15246, 4435, 17657, 21021, 753, 320, 54, 5319, 8, 7410, 304, 1057, 8423, 389, 18945, 42089, 11, 10434, 439, 264, 5452, 369, 279, 37500, 6164, 311, 6604, 520, 279, 11344, 10734, 9251, 11, 279, 6781, 12369, 15264, 35769, 323, 304, 279, 8612, 15217, 520, 279, 45345, 8612, 10349, 13, 1226, 1101, 32100, 5068, 389, 3823, 3268, 27655, 311, 279, 6781, 9984, 39474, 38647, 323, 13162, 323, 59754, 29822, 68296, 753, 6666, 311, 279, 5030, 627, 6153, 927, 832, 1060, 315, 22670, 927, 8961, 7016, 11, 304, 813, 41258, 5224, 11, 6890, 753, 12801, 9675, 7376, 389, 220, 777, 6841, 220, 2366, 16, 430, 568, 690, 40679, 279, 2380, 20733, 7016, 902, 1051, 5946, 304, 20302, 304, 6250, 1566, 1060, 13, 1115, 374, 1057, 1176, 12845, 304, 22973, 20957, 529, 3268, 439, 584, 2567, 11039, 369, 3691, 4868, 323, 41329, 4028, 279, 24867, 13, 128001, 128000, 24350, 38886, 315, 9492, 198, 5959, 320, 75046, 2991, 99661, 11688, 8, 374, 264, 4221, 1511, 311, 1893, 323, 3645, 3566, 11014, 13, 1102, 374, 264, 1633, 4382, 4221, 323, 4228, 311, 4048, 323, 1005, 11, 1524, 369, 1884, 449, 17832, 11058, 3217, 13, 9492, 649, 387, 1511, 311, 1893, 264, 8205, 315, 3566, 11014, 11, 2737, 1495, 6108, 6959, 323, 21416, 57613, 5540, 13, 9492, 374, 1101, 279, 16665, 315, 1455, 13335, 11, 439, 279, 6913, 6070, 315, 1455, 6959, 374, 3629, 5918, 449, 9492, 2082, 627, 24350, 38886, 315, 20394, 198, 93302, 374, 264, 5526, 2262, 6373, 1887, 320, 54357, 8, 1511, 555, 1690, 3997, 7980, 13, 1102, 374, 264, 8147, 5452, 430, 649, 387, 1511, 311, 1977, 323, 10299, 13335, 449, 14553, 13, 20394, 4131, 449, 264, 8205, 315, 20206, 22610, 323, 22100, 430, 649, 387, 1511, 311, 32187, 279, 3997, 753, 2955, 323, 15293, 13, 20394, 374, 13171, 315, 11850, 264, 7029, 2134, 315, 9256, 323, 6209, 264, 7029, 2134, 315, 4519, 369, 3997, 7980, 627, 21279, 9492, 323, 20394, 617, 872, 22934, 323, 64725, 323, 433, 2216, 14117, 389, 279, 3966, 315, 279, 3997, 6506, 13, 9492, 374, 264, 2294, 4221, 369, 1884, 889, 527, 1120, 6041, 704, 449, 3566, 2955, 11, 439, 433, 374, 264, 4382, 323, 4228, 311, 1005, 4221, 13, 20394, 374, 264, 8147, 37341, 430, 6209, 264, 7029, 2134, 315, 4519, 369, 3997, 7980, 13, 11995, 9492, 323, 20394, 649, 387, 1511, 311, 1893, 2294, 13335, 11, 779, 433, 374, 709, 311, 279, 3997, 6506, 311, 10491, 902, 5452, 374, 1314, 369, 1124, 627, 10445, 1541, 259, 13707, 1005, 20394, 5380, 32346, 9176, 63598, 198, 4054, 315, 279, 1925, 8125, 3249, 13707, 1541, 1431, 1005, 20394, 374, 279, 33638, 1396, 315, 17658, 430, 527, 2561, 13, 6104, 3515, 264, 7029, 6727, 315, 17658, 311, 5268, 505, 649, 387, 76824, 11, 433, 649, 1101, 387, 22798, 369, 13707, 13, 2876, 1193, 656, 13707, 617, 311, 81844, 1555, 28701, 17658, 11, 814, 1101, 617, 311, 1935, 1139, 2759, 25780, 4819, 11, 4868, 10742, 11, 323, 1023, 4819, 430, 2586, 449, 17658, 627, 22499, 3951, 311, 2638, 3216, 198, 43, 474, 315, 27233, 3225, 198, 24901, 11, 1063, 13707, 1541, 1431, 1093, 311, 1005, 20394, 1606, 315, 279, 6996, 315, 25152, 13, 6104, 20394, 1587, 3085, 1063, 49141, 2671, 11, 433, 649, 387, 7347, 369, 810, 10534, 13707, 13, 47717, 1253, 10932, 311, 1005, 1023, 15771, 1778, 439, 36144, 11, 73105, 11, 477, 24658, 389, 37505, 11, 902, 3085, 810, 2671, 369, 49141, 627, 6854, 358, 636, 264, 2683, 449, 1120, 20394, 5380, 6854, 358, 636, 264, 2683, 449, 1120, 20394, 5380, 3923, 17262, 315, 12280, 5380, 9642, 11, 1070, 527, 1690, 10708, 369, 1884, 889, 527, 42066, 922, 20394, 13, 20394, 374, 459, 17235, 33045, 5452, 11, 323, 11911, 389, 701, 7512, 323, 3217, 11, 499, 1253, 387, 3025, 311, 1505, 264, 2683, 304, 3566, 2955, 11, 4500, 11, 2262, 4477, 11, 43092, 11, 7528, 8661, 11, 26029, 11, 323, 810, 627, 93302, 33025, 323, 31340, 57661, 198, 644, 2015, 311, 636, 264, 2683, 3318, 449, 20394, 11, 3515, 6913, 6677, 315, 279, 5452, 374, 7718, 13, 1472, 1288, 617, 264, 6573, 8830, 315, 279, 20394, 18112, 11, 323, 387, 3025, 311, 4685, 11, 14749, 323, 32187, 433, 13, 23212, 11, 499, 1288, 387, 11537, 449, 9492, 323, 15533, 11, 439, 1664, 439, 1694, 3025, 311, 990, 449, 4729, 6070, 323, 2262, 6373, 6067, 627, 52522, 20394, 23946, 198, 3947, 527, 1690, 2683, 21126, 11, 93768, 6732, 11, 323, 1023, 5070, 430, 527, 11951, 29329, 311, 20394, 14228, 2683, 10708, 13, 23212, 11, 1690, 5220, 1772, 2683, 26544, 369, 20394, 13707, 323, 26897 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 389, 872, 1866, 13335, 13, 36016, 11, 264, 1695, 6041, 1486, 374, 311, 1427, 520, 2683, 21126, 369, 279, 955, 315, 2683, 499, 527, 3411, 369, 11, 1243, 46464, 701, 2778, 311, 2997, 20394, 19440, 21513, 627, 5519, 14286, 1005, 20394, 5380, 3923, 374, 20394, 5380, 93302, 374, 264, 1949, 1825, 31874, 2262, 6373, 1887, 320, 54357, 8, 5439, 304, 13420, 323, 35526, 449, 264, 27436, 477, 23880, 3590, 4729, 13, 1102, 374, 1511, 311, 1893, 13335, 323, 26743, 323, 374, 279, 1455, 5526, 37341, 304, 1005, 3432, 11, 91000, 927, 220, 1758, 4, 315, 682, 13335, 389, 279, 7757, 627, 5519, 38866, 5560, 20394, 5380, 9642, 11, 1063, 14286, 656, 1005, 20394, 369, 872, 13335, 323, 6130, 76563, 13, 9176, 6020, 14673, 11, 2737, 1063, 3682, 14286, 11, 617, 12146, 20394, 311, 2410, 872, 13335, 4245, 311, 1202, 14553, 315, 1005, 323, 7029, 2134, 315, 4519, 13, 20394, 6209, 279, 5845, 311, 1893, 2587, 22100, 323, 17658, 11, 902, 649, 387, 1511, 311, 1893, 459, 23669, 6130, 3217, 13, 23212, 11, 20394, 374, 9966, 323, 15870, 6177, 11, 3339, 433, 459, 10728, 5873, 369, 14286, 430, 1205, 311, 2567, 6130, 828, 6220, 627, 3923, 374, 23917, 1109, 20394, 5380, 3923, 374, 20394, 5380, 93302, 374, 264, 1949, 1825, 31874, 2262, 6373, 1887, 320, 54357, 8, 3196, 389, 13420, 323, 27436, 13, 1102, 374, 279, 1455, 5526, 2262, 6373, 1887, 369, 6968, 13335, 11, 439, 433, 4131, 449, 264, 8205, 315, 4519, 323, 7526, 13, 20394, 6276, 3932, 311, 6847, 1893, 11, 4600, 11, 10299, 323, 3498, 2262, 2085, 279, 1205, 369, 904, 11156, 7512, 627, 3923, 374, 8602, 3271, 1109, 20394, 5380, 3947, 527, 1690, 1023, 2262, 6373, 6067, 430, 527, 23917, 1109, 20394, 11, 1778, 439, 73105, 11, 36144, 11, 323, 20685, 5518, 1330, 13, 73105, 374, 459, 1825, 31874, 37341, 430, 374, 1949, 369, 5606, 311, 1005, 13, 1102, 5825, 264, 8205, 315, 4519, 323, 374, 14791, 369, 6968, 682, 13124, 315, 13335, 627, 43592, 374, 2500, 1825, 31874, 37341, 430, 374, 1949, 311, 1005, 13, 1102, 1101, 6209, 264, 8205, 315, 4519, 11, 323, 374, 14791, 369, 6968, 13335, 13, 4452, 11, 433, 374, 810, 6485, 1109, 20394, 323, 1253, 1397, 1063, 11156, 6677, 627, 50, 41956, 1330, 374, 264, 8518, 37341, 430, 6209, 264, 8205, 315, 4519, 323, 7526, 13, 1102, 374, 1790, 23917, 1109, 20394, 11, 439, 433, 1193, 7612, 264, 2678, 15438, 11307, 13, 1102, 374, 14791, 369, 6968, 682, 13124, 315, 13335, 11, 719, 7612, 1063, 11156, 6677, 627, 644, 17102, 11, 1070, 527, 1690, 2262, 6373, 6067, 430, 527, 23917, 1109, 20394, 13, 40730, 389, 701, 3966, 11, 499, 649, 5268, 279, 37341, 430, 18809, 701, 8199, 323, 8670, 627, 13347, 11, 358, 4344, 4349, 1729, 13, 358, 3021, 682, 2574, 3566, 2955, 323, 20394, 13, 358, 990, 439, 264, 46209, 5000, 15940, 323, 20394, 33257, 304, 1561, 4356, 4409, 13, 358, 48444, 304, 6968, 6366, 323, 7524, 13335, 430, 1520, 9873, 3139, 2930, 13, 3277, 358, 4344, 539, 3318, 389, 13335, 11, 499, 649, 1505, 757, 24919, 279, 3363, 477, 10374, 892, 449, 3070, 323, 4885, 13, 128001, 128000, 11907, 4907, 9320, 706, 28129, 1690, 69376, 927, 279, 3347, 13515, 11, 53120, 287, 1455, 17078, 13, 11361, 311, 30116, 19297, 11, 75505, 323, 5326, 80671, 555, 70978, 323, 9873, 11, 10487, 8824, 706, 15042, 8254, 20557, 369, 13238, 38964, 11, 323, 2380, 20557, 369, 389, 29526, 10160, 2533, 220, 679, 15, 627, 12805, 6646, 264, 24547, 291, 1259, 11, 279, 4430, 315, 33268, 4907, 304, 279, 18200, 6651, 374, 5190, 1109, 31376, 40373, 304, 1063, 5961, 13, 578, 1566, 13515, 706, 1101, 3970, 279, 1396, 315, 1274, 2085, 2680, 311, 6617, 7739, 315, 4907, 12207, 18174, 627, 4071, 1070, 374, 2103, 264, 1317, 1648, 311, 733, 13, 1666, 315, 220, 679, 24, 11, 220, 5932, 3346, 315, 279, 1917, 596, 6156, 4907, 8312, 574, 2103, 3196, 389, 31376, 40373, 13, 1628, 1418, 279, 4430, 315, 11756, 304, 279, 18200, 6651, 706, 1027, 43071, 43848, 11, 279, 8286, 315, 18200, 9124, 505, 11756, 706, 7319, 304, 10973, 3878, 1389, 15871, 304, 13918, 449, 16448, 4907, 7631, 627, 27671, 505, 264, 13515, 315, 29531, 287, 828, 505, 279, 4435, 23362, 17997, 596, 320, 12739, 37, 8, 12634, 38821, 8167, 220, 2366, 16, 15151, 430, 1193, 220, 605, 3346, 315, 279, 220, 7322, 5961, 67458, 18908, 264, 24981, 40872, 35782, 9017, 4907, 9320, 13, 6104, 1455, 5961, 62916, 304, 1063, 1648, 11, 13263, 5208, 574, 264, 8815, 627, 2170, 584, 3351, 1139, 279, 13515, 315, 9889, 323, 1957, 11, 994, 79118, 323, 42356, 527, 3685, 311, 3769, 1082, 1139, 6299, 11, 20958, 29237, 315, 5208, 374, 315, 74510, 12939, 369, 32100, 323, 7524, 4907, 9320, 13, 32944, 449, 4732, 323, 5216, 11, 279, 5357, 2011, 1101, 387, 389, 279, 56062, 315, 4907, 9320, 11, 902, 3727, 279, 5208, 93294, 11, 323, 20682, 279, 1920, 311, 34782, 1203, 304, 279, 1567, 315, 98057, 627, 2170, 3728, 4907, 9320, 31003, 11, 279, 18921, 315, 15635, 311, 279, 9320, 374, 19019, 42028, 13, 48005, 660, 53399, 5208, 690, 6904, 539, 1193, 389, 8738, 83787, 315, 5557, 11, 719, 1101, 389, 28118, 279, 41589, 77249, 323, 87998, 85450, 315, 279, 4907, 9320, 13, 763, 420, 5363, 11, 279, 14529, 13654, 9045, 505, 279, 20562, 12, 777, 28522, 3085, 4330, 16996, 1935, 40690, 1418, 1101, 31720, 1063, 18507, 19300, 430, 649, 13893, 43047, 279, 2653, 12, 58700, 5208, 627, 33775, 5031, 1771, 27191, 398, 18733, 50185, 3161, 23362, 34871, 198, 4383, 287, 420, 6696, 12744, 374, 520, 279, 4851, 315, 279, 4907, 9320, 13, 35011, 9045, 311, 50460, 279, 7100, 5674, 505, 20562, 12, 777, 1051, 3685, 311, 387, 264, 5199, 6307, 51483, 13, 14968, 8994, 279, 18526, 20748, 47311, 9057, 555, 51235, 82, 11, 20748, 304, 1690, 5961, 42632, 291, 311, 864, 2320, 438, 8274, 5990, 6288, 627, 58276, 11, 439, 490, 91387, 315, 11441, 527, 1694, 43347, 323, 13750, 5613, 839, 311, 26593, 9959, 311, 4907, 9320, 11, 264, 8857, 315, 1884, 617, 1027, 20816, 311, 12782, 37295, 26593, 304, 1455, 5961, 11, 13893, 38955, 304, 20748, 369, 1667, 13, 33350, 304, 6307, 11, 3938, 65015, 14054, 649, 387, 264, 3831 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7458, 311, 6678, 4726, 7100, 6650, 323, 7068, 14740, 627, 2688, 2052, 23362, 77212, 552, 4946, 9365, 578, 12634, 38821, 11964, 750, 198, 2170, 279, 3728, 8752, 4671, 1725, 1203, 311, 4725, 11377, 11, 51165, 4284, 430, 24084, 323, 11469, 37671, 527, 389, 3839, 369, 29493, 13654, 11, 449, 1690, 539, 3685, 311, 471, 311, 864, 2320, 438, 8274, 20547, 13018, 2027, 320, 38, 10510, 8, 5990, 3156, 220, 2366, 18, 11, 4184, 311, 279, 7327, 74214, 13492, 320, 1829, 37, 4390, 791, 22199, 315, 37441, 16149, 7100, 13654, 11, 323, 13239, 20323, 11774, 11, 690, 4017, 872, 5845, 311, 1862, 22538, 1139, 4907, 9320, 13, 763, 279, 2875, 4751, 11, 23091, 287, 709, 25474, 5788, 323, 8141, 11, 323, 23391, 77109, 8141, 374, 3062, 311, 6106, 24084, 323, 11469, 37671, 527, 6288, 3025, 311, 34782, 1203, 627, 1687, 15832, 30379, 15542, 5247, 1789, 13266, 7648, 81211, 481, 198, 791, 28522, 27463, 279, 33318, 6372, 315, 8070, 32305, 11, 2225, 304, 3878, 315, 7319, 5326, 315, 64915, 290, 11, 323, 7100, 7194, 505, 4814, 315, 8070, 323, 14740, 13, 578, 5536, 315, 4907, 9320, 690, 387, 30293, 80153, 311, 20134, 14491, 315, 279, 8396, 1389, 369, 3187, 11, 505, 23791, 3157, 834, 32409, 4028, 279, 21349, 4907, 2592, 907, 8957, 323, 505, 79010, 11774, 13239, 505, 68747, 31343, 477, 12782, 13426, 627, 4383, 287, 8141, 278, 38864, 555, 45777, 3876, 330, 4345, 9320, 1, 44014, 11, 449, 459, 29408, 5603, 311, 15806, 4907, 4947, 323, 9341, 11429, 11, 374, 9200, 369, 45409, 13071, 315, 279, 4907, 9320, 627, 1163, 43470, 763, 7327, 87687, 92692, 198, 791, 20562, 12, 777, 28522, 15246, 279, 9669, 315, 6625, 23915, 311, 50460, 323, 2686, 279, 3728, 2890, 13147, 6288, 13, 31636, 2349, 11, 279, 6156, 5696, 315, 4907, 9320, 11, 374, 2736, 6968, 3691, 323, 3090, 67276, 4028, 1690, 5596, 315, 279, 1917, 323, 374, 3685, 311, 15541, 459, 31069, 12330, 315, 12172, 304, 279, 3221, 3938, 11, 304, 5369, 311, 279, 6696, 323, 77651, 25127, 315, 12782, 13426, 627, 2028, 374, 4461, 311, 1296, 279, 8333, 323, 41265, 315, 6625, 20632, 1524, 810, 11, 4541, 50644, 4500, 315, 22514, 23915, 24717, 4028, 682, 18783, 4346, 5315, 311, 2686, 420, 31550, 6222, 8815, 627, 1687, 15832, 2175, 2052, 40996, 1952, 8925, 198, 56948, 1055, 586, 8907, 311, 66860, 11193, 323, 25474, 20365, 275, 6709, 706, 27463, 279, 11774, 304, 29905, 3876, 586, 1862, 311, 2686, 264, 19019, 77157, 13147, 13, 8483, 13533, 430, 1274, 79583, 279, 6372, 315, 37064, 430, 617, 59855, 6650, 11, 1317, 9860, 4917, 64947, 477, 2643, 387, 33831, 304, 3117, 14075, 7634, 13, 2468, 279, 1890, 892, 11, 40240, 10758, 323, 23541, 296, 16164, 3395, 811, 649, 3063, 311, 4814, 315, 7095, 323, 3041, 10205, 311, 75159, 627, 22818, 279, 64564, 9546, 315, 4907, 4028, 279, 13354, 315, 6617, 8752, 323, 8396, 11, 4907, 9320, 706, 46417, 25127, 323, 7612, 4642, 20852, 505, 7931, 13, 3161, 88244, 33459, 311, 11026, 1139, 279, 3938, 11, 279, 26617, 40206, 447, 2826, 315, 3927, 1957, 369, 264, 22498, 3575, 11, 477, 14560, 9282, 4455, 12765, 304, 29827, 5596, 315, 279, 1917, 2643, 539, 20599, 279, 5569, 323, 1205, 369, 4732, 369, 4907, 9320, 311, 7931, 13, 1115, 22020, 279, 54917, 315, 47594, 53082, 389, 4907, 9320, 311, 6106, 4642, 20852, 505, 682, 14491, 315, 8396, 627, 20397, 5208, 11, 810, 374, 2631, 311, 5662, 264, 810, 22556, 4907, 9320, 198, 30700, 59185, 374, 279, 2132, 8592, 23862, 8752, 304, 36664, 13936, 11, 323, 21467, 220, 2137, 339, 704, 315, 220, 7322, 5961, 389, 279, 12634, 38821, 8167, 220, 2366, 16, 627, 791, 3224, 19207, 264, 3831, 5178, 304, 4907, 2680, 323, 4868, 13, 4452, 11, 28796, 753, 5178, 706, 19284, 10284, 927, 279, 1566, 13515, 13, 3744, 315, 279, 18174, 706, 1027, 16625, 555, 1054, 49944, 6650, 323, 4500, 863, 14393, 6485, 6696, 65039, 439, 279, 8752, 29575, 3201, 505, 264, 31376, 18222, 832, 13, 15903, 11, 539, 33705, 2853, 315, 9434, 1385, 505, 4907, 15652, 323, 5788, 617, 1027, 7859, 927, 279, 1566, 13515, 627, 30700, 59185, 706, 1903, 20192, 389, 12434, 41329, 11, 5423, 1555, 53722, 14278, 315, 4907, 21261, 315, 30830, 13, 4452, 11, 279, 12782, 21261, 315, 4907, 6651, 8625, 1579, 7859, 1403, 3346, 927, 279, 1566, 13515, 13, 6104, 4430, 315, 89085, 11, 5423, 13238, 11, 706, 29057, 7319, 11, 11756, 753, 3560, 304, 279, 8752, 8625, 5199, 627, 791, 4907, 1887, 706, 1027, 264, 3831, 62307, 315, 7100, 6650, 304, 28796, 11, 323, 1202, 8738, 3560, 7612, 6968, 264, 3831, 28462, 12914, 11, 22126, 555, 5054, 15507, 323, 15528, 4947, 4676, 11, 4500, 315, 14054, 369, 4907, 9320, 11, 312, 46407, 9585, 315, 279, 32027, 369, 264, 3938, 4907, 1887, 11, 323, 26012, 304, 4907, 19297, 13, 128001, 128000, 23392, 36536, 527, 9615, 264, 990, 315, 1989, 449, 264, 1317, 3925, 13, 578, 22643, 315, 53817, 323, 12675, 29809, 11, 872, 70222, 3149, 13863, 84075, 1047, 9404, 449, 37067, 14620, 323, 75973, 11, 1524, 296, 74885, 13, 11450, 11, 6498, 36536, 3139, 389, 264, 9333, 5569, 439, 36760, 36536, 2539, 315, 43120, 19837, 323, 58367, 52011, 13, 2435, 690, 617, 19837, 304, 52554, 682, 3280, 1317, 323, 8541, 311, 3719, 810, 5933, 3411, 439, 279, 13863, 93018, 1139, 279, 18921, 13, 9176, 13863, 388, 323, 15613, 3021, 279, 13931, 1766, 2949, 279, 6498, 13863, 627, 29755, 3451, 15893, 804, 529, 449, 279, 6498, 13863, 198, 2409, 279, 16448, 10186, 1205, 315, 264, 810, 22556, 1005, 315, 279, 11841, 753, 5070, 11, 1524, 279, 8776, 6498, 13863, 649, 10737, 311, 1054, 13553, 863, 16565, 11, 1418, 10494, 1202, 13444, 13, 10541, 6498, 36536, 527, 3967, 369, 872, 1579, 13709, 11, 814, 649, 387, 6319, 304, 264, 5933, 323, 22556, 1648, 779, 1855, 1060, 279, 13863, 5097, 2753, 323, 2753, 13709, 13, 12362, 58535, 48114, 12823, 2187, 279, 11012, 311, 41972, 24059, 832, 2500, 11, 7231, 323, 4737, 505, 433, 753, 36956, 627, 32, 4279, 2786, 1990, 682, 6498, 36536, 374, 430, 527, 311, 387, 1511, 439, 1790, 439, 19894, 369, 45278, 13, 2100, 44014, 477, 4321, 2336, 3235, 449, 79509, 690, 387, 2561, 304, 459, 6498, 13863, 11, 682, 1903, 505, 2254, 5070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 2360, 1205, 311, 11092, 477, 11722, 304, 36974, 7384, 994, 779, 1790, 374, 2561, 3221, 279, 2162, 627, 53, 1572, 527, 264, 50056, 315, 279, 6498, 13863, 439, 1664, 439, 1023, 74718, 11709, 13, 1789, 264, 810, 1054, 82, 42341, 863, 6498, 13863, 5268, 86529, 430, 617, 7447, 59338, 11, 1778, 439, 18534, 14098, 323, 28601, 369, 1884, 430, 4034, 279, 13863, 627, 72447, 264, 13863, 2539, 315, 50823, 7085, 682, 3280, 1317, 1120, 5097, 264, 2697, 6677, 389, 1148, 690, 23153, 323, 994, 13, 12531, 374, 264, 6366, 892, 304, 279, 13863, 11, 449, 4395, 6041, 311, 3139, 323, 19837, 7314, 311, 5101, 3339, 433, 779, 7878, 323, 6307, 627, 63385, 91612, 11, 294, 2715, 347, 8839, 323, 14425, 66, 4881, 690, 3240, 311, 5101, 439, 4216, 439, 7552, 323, 5587, 422, 539, 304, 2288, 9439, 264, 10182, 13, 36283, 3714, 288, 323, 348, 822, 10145, 527, 1828, 8272, 555, 24415, 18893, 315, 6437, 65, 6572, 520, 279, 7314, 315, 3297, 627, 644, 6133, 61721, 6366, 11, 12842, 30349, 42393, 323, 11012, 1093, 16392, 1563, 11, 81460, 11, 323, 39361, 1139, 279, 13863, 13, 1102, 690, 293, 536, 1664, 555, 1694, 70222, 3149, 45370, 11, 439, 1664, 439, 11984, 11141, 323, 19837, 430, 649, 387, 1511, 304, 17677, 11, 52786, 779, 2690, 323, 13444, 3956, 477, 259, 7956, 1439, 627, 1383, 7474, 892, 279, 11141, 323, 52011, 617, 10409, 704, 323, 3719, 12314, 323, 2653, 88, 13, 578, 13863, 374, 2753, 70467, 719, 279, 2204, 37199, 315, 6307, 1304, 709, 369, 433, 13, 763, 279, 7474, 499, 1253, 1518, 810, 61741, 11, 3090, 326, 7751, 11, 52122, 1065, 57075, 11, 568, 1894, 11, 3814, 87154, 323, 315, 3388, 24415, 81776, 323, 40558, 430, 690, 1390, 311, 4774, 682, 279, 50823, 7085, 439, 1664, 323, 9041, 279, 79784, 6957, 279, 4459, 2678, 5654, 11, 902, 13912, 279, 6136, 39646, 9498, 323, 70225, 627, 644, 42774, 1455, 19837, 3240, 311, 842, 872, 11008, 719, 279, 63494, 323, 26390, 690, 5101, 13, 78614, 3240, 311, 2349, 311, 872, 4498, 27230, 902, 11621, 2500, 8915, 12745, 2630, 311, 701, 18921, 13, 1472, 649, 3820, 3776, 36989, 11, 1645, 44129, 11, 48251, 11, 41776, 11, 14155, 11966, 11, 4205, 5900, 439, 3117, 439, 1148, 955, 315, 67740, 11012, 499, 1390, 304, 701, 13863, 13, 10541, 48114, 14098, 12690, 4315, 459, 6498, 13863, 374, 539, 264, 14135, 11, 52913, 264, 2678, 11, 1664, 34615, 10395, 41245, 569, 449, 264, 6366, 67740, 14653, 683, 690, 7995, 1304, 701, 6498, 13863, 810, 22556, 627, 3947, 527, 264, 2478, 19837, 430, 690, 52554, 304, 279, 12688, 13, 20704, 52122, 1065, 57075, 323, 66909, 923, 264, 5916, 315, 12745, 11, 5636, 649, 387, 1511, 369, 3339, 30668, 13, 53425, 63494, 690, 636, 499, 304, 279, 20247, 369, 279, 32769, 3280, 323, 1124, 810, 12056, 91612, 304, 3389, 7552, 311, 1212, 279, 11008, 927, 1578, 627, 3947, 527, 779, 1690, 28559, 315, 8545, 19837, 11, 13863, 19837, 323, 82339, 14362, 16115, 311, 4048, 922, 13, 10541, 1063, 9606, 1253, 539, 387, 3025, 311, 387, 15042, 304, 5270, 11, 649, 1520, 499, 636, 3940, 422, 499, 1390, 311, 56459, 13878, 505, 1521, 6366, 36536, 13, 12362, 279, 6913, 6848, 315, 1701, 2254, 5070, 11, 67740, 65118, 11093, 449, 279, 37637, 315, 6498, 36536, 649, 1304, 264, 5016, 13863, 2225, 54799, 311, 279, 8071, 323, 4228, 389, 279, 11841, 13, 482, 42, 835, 5484, 435, 9109, 9944, 128001, 128000, 27899, 70873, 22223, 2225, 12966, 323, 19987, 11, 8051, 5115, 22009, 13, 1666, 499, 4762, 1440, 11, 701, 2697, 282, 4939, 6896, 4762, 5900, 264, 2697, 14599, 994, 15246, 311, 8415, 70873, 11, 323, 374, 11951, 74150, 311, 279, 32462, 1766, 2949, 279, 6136, 13, 1115, 1890, 5707, 1101, 706, 58041, 6012, 430, 649, 1520, 12966, 449, 264, 8205, 315, 82907, 13, 44493, 8415, 70873, 374, 3967, 439, 264, 11163, 1413, 323, 459, 3276, 13391, 300, 2658, 292, 1511, 311, 1089, 84, 425, 40700, 82, 11, 9439, 82, 11, 80311, 5435, 1778, 439, 264, 1589, 14989, 477, 69393, 13, 17810, 70873, 374, 3604, 264, 1633, 22443, 39999, 11, 6220, 3403, 311, 3041, 311, 2911, 13, 1102, 5992, 4528, 311, 39361, 323, 374, 961, 315, 279, 29437, 3070, 13, 578, 1888, 961, 374, 430, 7982, 8415, 70873, 374, 4228, 627, 13246, 1023, 4595, 315, 296, 21719, 11, 8415, 70873, 11, 1101, 3967, 439, 37669, 1955, 272, 6526, 689, 11, 374, 264, 74718, 6136, 323, 28815, 5115, 1664, 6957, 279, 1917, 11, 8104, 304, 279, 17355, 17728, 285, 65733, 13, 18317, 287, 8415, 70873, 374, 264, 2294, 4623, 369, 6261, 323, 701, 67712, 552, 323, 374, 4228, 311, 22829, 422, 499, 617, 264, 13863, 11, 264, 4156, 20085, 11, 477, 264, 3634, 430, 21879, 264, 2763, 315, 3177, 1405, 499, 649, 743, 709, 264, 2678, 5593, 13863, 627, 85102, 8415, 70873, 369, 499, 323, 701, 8415, 374, 4228, 13, 31783, 2052, 31783, 33970, 198, 1271, 1212, 11, 499, 649, 3240, 449, 8415, 70873, 19595, 11, 477, 264, 2678, 27795, 6136, 13, 44493, 7878, 8415, 70873, 374, 2653, 311, 1505, 7389, 499, 617, 264, 2294, 56226, 304, 701, 3158, 13, 578, 1455, 4279, 1648, 374, 311, 1212, 505, 19307, 323, 1005, 264, 3854, 315, 19595, 13, 17810, 70873, 19595, 649, 387, 15075, 12136, 398, 2930, 422, 539, 2561, 24392, 477, 520, 264, 10533, 61262, 1912, 13, 9086, 904, 6136, 11, 3738, 4787, 690, 7431, 279, 6136, 311, 67784, 11, 2085, 3779, 5149, 477, 28367, 36214, 12509, 320, 8370, 38710, 7923, 5548, 2646, 842, 23242, 1606, 11012, 527, 8967, 311, 67784, 18182, 570, 71715, 311, 3139, 17808, 8415, 70873, 11, 13967, 7982, 2942, 2740, 690, 387, 1888, 369, 499, 11, 701, 8415, 323, 369, 279, 17614, 323, 1023, 11012, 304, 701, 13863, 627, 8586, 753, 1148, 8415, 70873, 11012, 1093, 25, 41315, 315, 7160, 11, 477, 1063, 7276, 28601, 13, 45863, 264, 68539, 11, 1664, 19158, 2692, 17614, 449, 264, 37143, 315, 220, 21, 13, 19, 13, 4452, 11, 1606, 8415, 70873, 374, 1778, 264, 82651, 6136, 11, 433, 649, 2103, 41972, 304, 10284, 2204, 4787, 627, 2746, 48114, 449, 19595, 11, 45577, 1124, 34504, 927, 279, 1948, 315, 701, 17614, 13, 5112, 3504, 449, 2500, 15792, 6324, 315, 17614, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 814, 527, 9960, 719, 539, 5655, 13, 10164, 279, 19595, 27461, 323, 1243, 1095, 7138, 656, 279, 2800, 315, 279, 990, 13, 578, 19595, 527, 5644, 311, 17684, 35116, 323, 690, 9778, 8314, 412, 627, 36227, 433, 264, 1456, 11, 719, 1440, 430, 8415, 70873, 1587, 3139, 5043, 323, 439, 264, 74718, 433, 690, 3136, 311, 656, 779, 627, 19999, 19987, 3201, 198, 791, 8706, 8815, 315, 7982, 8415, 70873, 374, 5042, 10494, 279, 19987, 3201, 0, 7570, 264, 2678, 8945, 6136, 649, 9504, 701, 8415, 477, 279, 19228, 24535, 51849, 1253, 2503, 389, 279, 6136, 11, 8343, 433, 477, 6062, 57780, 1202, 6650, 13, 1472, 1253, 1390, 311, 6144, 701, 8945, 8415, 70873, 6136, 449, 1063, 9244, 477, 12466, 16893, 449, 279, 1948, 4018, 1022, 3156, 433, 5334, 3544, 3403, 311, 539, 387, 20727, 72461, 555, 282, 11243, 627, 2028, 6136, 690, 3139, 505, 220, 16, 12, 18, 7693, 0, 56935, 279, 8415, 70873, 994, 433, 19837, 11, 902, 374, 11383, 304, 505, 5651, 311, 6250, 13, 1472, 649, 1005, 7214, 369, 8415, 70873, 15600, 11, 7999, 220, 19, 93200, 315, 7878, 8415, 70873, 11141, 311, 4106, 3090, 13, 3277, 3339, 264, 15600, 505, 32720, 11141, 11, 1193, 1005, 220, 16, 42384, 13, 423, 28609, 8415, 70873, 690, 7431, 499, 311, 1005, 8415, 70873, 304, 279, 289, 396, 70841, 4038, 13, 11016, 279, 11141, 505, 279, 19646, 3131, 279, 6136, 374, 7373, 32720, 13, 4702, 2567, 433, 3201, 505, 279, 19987, 0, 482, 33, 965, 350, 2716, 39649, 128001, 128000, 14755, 89120, 29490, 90686, 67502, 10934, 304, 51849, 198, 791, 3776, 57896, 35454, 17623, 311, 279, 64677, 10128, 24409, 440, 355, 1389, 279, 57896, 63236, 13, 763, 279, 549, 815, 2637, 279, 2380, 5199, 9606, 311, 3821, 369, 527, 279, 11104, 57896, 11, 279, 17355, 57896, 11, 323, 279, 16642, 57896, 63236, 11, 682, 315, 902, 527, 7701, 74808, 788, 311, 13018, 26159, 323, 12966, 13, 578, 11104, 57896, 374, 1766, 304, 19001, 13918, 315, 279, 3723, 328, 988, 26, 279, 17355, 57896, 374, 1766, 304, 279, 18671, 3646, 549, 815, 13, 323, 42552, 7008, 26, 323, 279, 16642, 57896, 374, 1766, 304, 279, 42552, 549, 815, 2637, 505, 9784, 311, 1561, 100077, 323, 1139, 1690, 315, 279, 54085, 5415, 13, 2435, 527, 1766, 304, 1475, 1614, 3734, 28366, 323, 527, 3629, 1766, 67512, 2212, 14016, 323, 3823, 14464, 811, 627, 791, 28585, 6767, 922, 220, 17, 4235, 17, 13, 20, 10166, 304, 3160, 323, 527, 279, 8294, 315, 279, 82428, 13, 3005, 374, 42299, 3776, 449, 264, 2579, 477, 2579, 85483, 6596, 59536, 27367, 1906, 389, 279, 96321, 315, 1077, 64772, 11, 323, 304, 1063, 28585, 11, 1070, 374, 1101, 264, 11140, 315, 2579, 389, 279, 1948, 315, 279, 64772, 11, 3485, 279, 36591, 1441, 13, 578, 86525, 8954, 374, 810, 315, 264, 14198, 1933, 449, 2579, 311, 19087, 477, 14071, 55788, 4028, 279, 1948, 64772, 430, 2349, 1139, 279, 6596, 59536, 6211, 439, 1364, 17051, 323, 6453, 729, 311, 3776, 13, 578, 8762, 374, 12207, 9333, 11, 922, 4376, 279, 1404, 11, 449, 3177, 14198, 35987, 11, 323, 32161, 279, 2579, 6596, 59536, 36024, 279, 8954, 374, 15324, 369, 13, 578, 8762, 374, 539, 27458, 439, 264, 6023, 11, 439, 433, 374, 11383, 279, 8954, 430, 49433, 627, 33, 3695, 1253, 387, 9235, 11, 449, 912, 74808, 41772, 13, 578, 74808, 374, 264, 36875, 18247, 998, 59866, 11, 8736, 12006, 520, 279, 1685, 1910, 53274, 32015, 15372, 323, 14718, 11191, 4984, 315, 1645, 87348, 331, 22671, 323, 308, 461, 39138, 764, 40101, 11, 2225, 315, 902, 649, 5353, 29759, 52192, 83060, 1026, 323, 86139, 13, 362, 8415, 1253, 387, 78549, 1418, 55154, 477, 34632, 11, 439, 3776, 9923, 4336, 527, 3967, 311, 21420, 2225, 13, 2360, 832, 8415, 374, 810, 520, 5326, 1109, 2500, 11, 719, 3995, 323, 2362, 19987, 527, 520, 459, 7319, 5326, 369, 36505, 4245, 311, 872, 43383, 22852, 6067, 627, 29012, 52273, 323, 21431, 198, 12, 23591, 11, 13160, 86139, 198, 12, 3765, 5717, 992, 13552, 19025, 198, 12, 1369, 19846, 16124, 6784, 304, 279, 1203, 11, 15489, 323, 64772, 11, 79754, 555, 1268, 2785, 323, 17813, 26480, 8200, 198, 12, 68427, 18659, 1105, 323, 1589, 31557, 198, 12, 81363, 27027, 11, 42631, 18678, 4245, 311, 57056, 16124, 86139, 198, 12, 62697, 6680, 7410, 323, 4851, 4478, 198, 12, 763, 27500, 2617, 323, 38550, 311, 2559, 320, 460, 68294, 340, 12, 1398, 87728, 4371, 40227, 323, 2800, 33028, 198, 12, 650, 316, 5977, 1389, 539, 19018, 369, 264, 8415, 311, 22752, 275, 709, 279, 5150, 35454, 198, 12, 16290, 11, 422, 7294, 12, 1055, 316, 6514, 374, 539, 2728, 6288, 198, 12, 15668, 3995, 477, 2362, 10099, 527, 520, 7319, 5326, 315, 15748, 25481, 1606, 315, 43383, 22852, 6067, 198, 12, 47966, 449, 46417, 1579, 6680, 7410, 527, 520, 7319, 5326, 369, 264, 19094, 15632, 198, 2028, 8624, 374, 5107, 311, 58681, 1606, 279, 13803, 1253, 387, 9057, 555, 1023, 19338, 13, 4686, 6680, 5643, 690, 387, 13375, 11, 2737, 264, 11742, 6680, 5643, 11, 264, 4686, 6680, 1797, 11, 323, 264, 4433, 992, 4548, 11, 439, 1664, 439, 264, 17879, 7106, 7151, 315, 701, 8415, 13, 4718, 10896, 1253, 1101, 1390, 311, 1296, 264, 6205, 315, 701, 8415, 753, 64172, 13, 1442, 3284, 11, 1935, 264, 6205, 315, 701, 8415, 753, 64172, 323, 5255, 22752, 275, 449, 499, 311, 279, 69340, 28913, 11, 420, 649, 1520, 701, 10896, 311, 1304, 279, 23842, 430, 1790, 10819, 13, 4718, 82340, 690, 387, 3411, 369, 34254, 311, 279, 6930, 11, 520, 902, 1486, 264, 23556, 1906, 1253, 387, 1766, 13, 68427, 13552, 19025, 323, 57056, 13552, 19025, 527, 11670, 12195, 315, 3776, 57896, 665, 1055, 316, 367, 627, 7927, 8415, 690, 387, 70340, 323, 2728, 33445, 2512, 13, 87669, 1253, 387, 2728, 311, 7945, 304, 27027, 11, 323, 10805, 81443, 56406, 2728, 311, 4827, 6680, 7410, 13, 23853, 12, 1055, 316, 11217, 527, 2561, 323, 701, 82340, 690, 27185, 1124, 1418, 16967, 15884, 369, 25481, 13, 578, 16124, 83060, 1026, 323, 15748, 6784, 690, 387, 14400, 555, 10805, 81443, 8735, 315, 31010, 430, 690, 12234, 279, 24569, 323, 4546, 16337, 505, 6784, 11, 10923, 701, 8415, 311, 2800, 323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11993, 505, 279, 35454, 21109, 13, 51849, 8541, 311, 387, 5423, 16614, 311, 3776, 57896, 49433, 11, 323, 279, 95350, 374, 3629, 8009, 369, 19987, 11, 719, 1253, 387, 32098, 422, 2512, 374, 2728, 7214, 1306, 264, 23556, 627, 45605, 323, 9744, 198, 7927, 82340, 690, 1390, 311, 8891, 279, 27653, 2816, 17496, 3156, 433, 706, 62320, 13, 578, 95350, 1253, 387, 36218, 369, 2919, 13, 17586, 7294, 12, 1055, 316, 11217, 11, 3776, 57896, 74808, 374, 6118, 19094, 304, 19987, 13, 42264, 2136, 11, 36709, 11, 323, 83511, 1253, 23135, 369, 4038, 627, 1945, 25, 65182, 78, 7397, 4669, 85142, 198, 13857, 571, 220, 2366, 15, 856, 12482, 916, 13, 128001, 128000, 49387, 374, 264, 49063, 11, 14734, 4791, 79697, 27128, 430, 27772, 14463, 1701, 58102, 11, 902, 527, 7528, 8316, 315, 6696, 13, 13428, 753, 49063, 3752, 11, 304, 902, 433, 374, 539, 9152, 477, 27800, 555, 264, 8792, 2547, 11, 374, 961, 315, 279, 33464, 311, 1778, 15879, 13, 1115, 6288, 62849, 433, 505, 54930, 36702, 11, 902, 527, 22126, 555, 279, 3109, 323, 11136, 555, 8792, 14286, 13, 70399, 36702, 527, 1101, 13262, 30040, 1139, 264, 3230, 8752, 4669, 14673, 1093, 14286, 11, 902, 527, 27800, 555, 3109, 5718, 627, 49387, 11, 389, 279, 1023, 1450, 11, 1587, 539, 17631, 389, 3109, 8515, 311, 387, 3549, 477, 94544, 52832, 13, 13428, 14463, 527, 15590, 555, 264, 879, 4009, 315, 19002, 10815, 555, 264, 6222, 48033, 13, 9062, 7901, 374, 9967, 304, 264, 1054, 4677, 8995, 863, 389, 1855, 6500, 11, 902, 9013, 323, 97689, 682, 9815, 520, 279, 1890, 892, 13, 578, 18428, 5865, 439, 264, 4332, 48033, 11, 18054, 279, 1205, 369, 264, 8792, 11447, 311, 2567, 3839, 315, 828, 627, 8509, 30709, 11, 20426, 54930, 11667, 11, 527, 539, 8066, 555, 264, 8792, 6201, 477, 3109, 13, 26848, 11, 58102, 527, 1054, 1083, 291, 863, 555, 264, 6500, 555, 22581, 37072, 47623, 11, 323, 26249, 527, 1511, 311, 10356, 7901, 10215, 1603, 814, 527, 3779, 311, 279, 18428, 13, 13428, 649, 1101, 387, 19426, 449, 5410, 36702, 323, 6924, 304, 264, 18355, 15435, 11, 902, 1436, 387, 3010, 25790, 505, 264, 22234, 477, 6500, 627, 16834, 13428, 369, 14463, 706, 1690, 7720, 13, 4452, 11, 279, 27128, 753, 1403, 1401, 22934, 527, 1202, 14734, 4791, 79697, 5357, 11, 902, 64468, 55275, 5548, 11, 323, 1202, 51743, 9956, 7138, 11, 902, 60944, 279, 16686, 369, 2225, 34876, 529, 22654, 2038, 13, 11995, 29600, 1520, 311, 4732, 709, 14463, 323, 22472, 2307, 1517, 9373, 16346, 13, 10541, 13428, 706, 12387, 22934, 927, 279, 1510, 1887, 315, 5684, 3300, 11, 433, 1101, 706, 3892, 89173, 627, 24350, 38886, 5046, 13428, 198, 12, 9877, 323, 22939, 198, 49387, 14463, 527, 7373, 879, 323, 22939, 13, 27140, 6201, 14463, 11, 902, 649, 387, 34156, 323, 15324, 11, 18355, 14463, 527, 653, 15417, 481, 13, 8442, 279, 14564, 315, 279, 18355, 54408, 311, 902, 279, 3300, 574, 12886, 323, 4036, 527, 3967, 13, 4452, 11, 433, 374, 12266, 311, 8417, 311, 889, 1521, 14564, 9352, 13, 1102, 753, 279, 1890, 439, 1694, 3025, 311, 1833, 14507, 311, 264, 3230, 6201, 2759, 11, 719, 539, 14392, 889, 1521, 9815, 9352, 311, 627, 12, 21085, 44177, 198, 791, 8706, 11542, 4131, 505, 12798, 449, 58102, 13, 13428, 1253, 387, 3288, 311, 5127, 304, 279, 1917, 11, 912, 5030, 1405, 814, 527, 13, 2684, 527, 912, 6278, 5794, 304, 420, 7901, 13, 2684, 690, 387, 912, 23170, 477, 6201, 25425, 13, 2684, 527, 912, 14597, 477, 17294, 627, 12, 1102, 753, 4062, 198, 4599, 7863, 311, 8776, 23641, 6067, 11, 13428, 14463, 527, 33538, 74768, 13, 362, 18355, 7901, 374, 439, 4062, 439, 11889, 459, 2613, 323, 649, 387, 8308, 304, 1234, 5899, 4520, 13, 1102, 649, 387, 18073, 9888, 20933, 422, 279, 14507, 527, 1054, 14486, 12, 54512, 2476, 902, 3445, 279, 42870, 4287, 279, 6140, 315, 8863, 264, 8323, 430, 706, 539, 3686, 1027, 33432, 555, 279, 18355, 4009, 627, 12, 76212, 59678, 198, 88746, 1903, 449, 13428, 617, 1633, 3428, 7901, 12718, 11, 323, 304, 1063, 5157, 11, 912, 12718, 520, 682, 13, 1102, 682, 14117, 389, 279, 3927, 753, 30601, 13, 1442, 264, 1732, 6944, 264, 66583, 7901, 11, 568, 2011, 2343, 264, 7901, 6900, 11, 902, 374, 2103, 1633, 27946, 994, 7863, 311, 904, 6020, 6278, 1543, 477, 7528, 15435, 627, 12, 1183, 6527, 3663, 17162, 15635, 198, 49387, 14463, 527, 6220, 11, 93294, 11, 323, 656, 539, 2997, 904, 4443, 2038, 922, 279, 6130, 13, 1115, 78020, 30338, 2403, 26186, 13239, 505, 16515, 477, 6900, 25082, 627, 12, 1102, 649, 1431, 387, 4529, 3201, 555, 279, 3109, 198, 18433, 13428, 374, 49063, 323, 912, 832, 706, 2585, 927, 433, 11, 279, 3109, 4250, 1935, 433, 1203, 13, 578, 3109, 649, 9067, 433, 311, 279, 54711, 13112, 3284, 11, 719, 279, 58102, 2103, 617, 1063, 907, 304, 1884, 11987, 11505, 2492, 14, 58808, 1405, 433, 374, 2103, 5897, 323, 16472, 649, 387, 8515, 291, 627, 12, 66125, 1821, 16869, 27669, 701, 8323, 3649, 198, 791, 8857, 315, 2930, 24393, 3432, 527, 10887, 449, 6807, 477, 46453, 7563, 11, 902, 1397, 499, 311, 1988, 682, 315, 701, 16614, 2038, 320, 24193, 3786, 1396, 11, 32792, 2457, 11, 323, 28545, 1396, 8, 1139, 264, 3566, 1376, 13, 1115, 374, 3249, 6807, 3786, 5219, 527, 23130, 7446, 627, 49387, 14463, 656, 539, 4541, 20227, 279, 28957, 315, 904, 27285, 2038, 13, 2435, 4619, 3539, 1403, 7039, 25, 264, 586, 323, 264, 879, 832, 13, 578, 586, 1401, 374, 586, 11, 439, 279, 836, 24897, 11, 323, 5606, 649, 1684, 433, 11, 719, 701, 879, 1401, 374, 879, 13, 3277, 499, 30382, 264, 18355, 11, 499, 16343, 701, 586, 323, 879, 7039, 323, 3881, 264, 37072, 734, 311, 1124, 311, 3451, 7908, 529, 279, 7901, 13, 1115, 27983, 264, 16125, 430, 88956, 430, 279, 7901, 574, 33230, 555, 499, 520, 19566, 4173, 285, 355, 627, 4944, 14625, 38886, 5046, 13428, 198, 12, 21496, 685, 11668, 198, 49387, 374, 2103, 25420, 311, 264, 3544, 1396, 315, 7931, 13, 4497, 9873, 527, 4737, 18355, 1475, 1938, 11, 719, 279, 1160, 374, 2103, 13987, 323, 3966, 311, 5376, 304, 2015 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 311, 11626, 505, 4009, 6372, 627, 49387, 2819, 527, 9193, 17509, 11, 16448, 323, 16054, 520, 264, 11295, 4478, 13, 11197, 42391, 1390, 311, 11626, 505, 433, 11, 719, 5150, 15167, 1518, 433, 439, 2288, 51024, 11, 16472, 912, 832, 2793, 82, 304, 82925, 627, 12, 42145, 3225, 5046, 10423, 5783, 2251, 198, 791, 3109, 4250, 1935, 701, 82925, 3201, 505, 499, 11, 719, 433, 649, 48486, 1124, 505, 1694, 1511, 304, 279, 3224, 11, 25957, 18355, 54408, 323, 9873, 311, 3345, 13, 578, 58102, 304, 1521, 54408, 527, 20268, 11, 17250, 304, 32888, 1124, 627, 12834, 13428, 374, 711, 2354, 661, 11, 832, 5199, 88620, 374, 430, 422, 433, 17503, 1139, 279, 6206, 315, 264, 1424, 10733, 11, 433, 690, 67678, 1139, 264, 11191, 86828, 13, 3277, 279, 8312, 315, 18355, 374, 7347, 323, 7631, 9731, 311, 10205, 11, 279, 3430, 315, 58102, 690, 10205, 11, 13893, 84015, 66836, 15167, 627, 12, 68502, 315, 93370, 198, 2746, 499, 5906, 2050, 701, 18355, 15435, 11, 499, 690, 9229, 682, 315, 701, 58102, 13, 30070, 499, 4070, 9967, 709, 701, 15435, 449, 264, 16101, 17571, 1401, 11, 499, 2834, 1431, 387, 3025, 311, 636, 433, 1203, 11, 323, 814, 4805, 387, 8208, 16058, 13, 1115, 16101, 17571, 2082, 649, 387, 1511, 311, 15301, 264, 13428, 15435, 8335, 430, 706, 1027, 5675, 627, 12, 5348, 8152, 10482, 2596, 86091, 910, 287, 198, 91084, 11, 58102, 1051, 1511, 369, 3300, 64402, 323, 555, 1884, 10565, 304, 279, 12079, 3157, 889, 1550, 539, 1390, 311, 82791, 713, 872, 4443, 2038, 304, 2015, 311, 5371, 9966, 8323, 13, 18099, 64402, 18065, 6278, 5794, 14, 2295, 4503, 5548, 26984, 10736, 505, 832, 2592, 323, 51051, 1124, 311, 2500, 1701, 82925, 13, 128001, 128000, 60210, 520, 31613, 5608, 11, 304, 20632, 449, 1884, 520, 31613, 72385, 11, 617, 52033, 46036, 83201, 449, 85573, 47056, 21389, 430, 649, 69033, 279, 18874, 315, 69263, 311, 12966, 520, 264, 220, 1484, 13, 20, 3346, 2450, 4478, 13, 11205, 14955, 1051, 4756, 304, 279, 55227, 315, 279, 5165, 16192, 315, 23199, 315, 279, 3723, 4273, 315, 5270, 389, 4723, 13, 220, 1419, 627, 791, 4435, 6401, 21021, 13240, 430, 69263, 11754, 13489, 220, 12060, 3610, 1274, 323, 7577, 17715, 220, 23103, 11, 931, 12697, 304, 220, 679, 17, 627, 44, 58016, 18874, 13980, 994, 83201, 23556, 459, 29374, 1732, 323, 89372, 279, 85573, 11, 902, 11031, 505, 279, 92234, 1139, 279, 4371, 344, 661, 82375, 26, 279, 83201, 1522, 389, 420, 85573, 439, 814, 23556, 872, 1828, 12697, 13, 2057, 12896, 420, 8624, 11, 31613, 5608, 1772, 38083, 278, 12637, 78040, 3394, 480, 90597, 323, 17054, 315, 63711, 23199, 63264, 426, 1291, 22306, 15207, 272, 10053, 2392, 1139, 279, 69263, 23728, 11, 1778, 430, 279, 85573, 14958, 304, 279, 39408, 1572, 13, 31613, 72385, 14561, 323, 4007, 1080, 43802, 21353, 362, 13, 7957, 8040, 1521, 15207, 272, 10053, 2392, 449, 279, 5845, 311, 69033, 69263, 79383, 627, 31378, 15207, 61120, 459, 63052, 430, 17623, 311, 279, 628, 300, 2658, 2411, 11, 279, 85573, 11, 510, 18614, 279, 18340, 315, 279, 50646, 1145, 863, 480, 90597, 11497, 311, 279, 31613, 5608, 25460, 13, 1054, 4516, 279, 85573, 5334, 6892, 10185, 11, 719, 3131, 433, 5334, 311, 279, 92234, 11, 433, 5334, 16075, 1070, 13, 1102, 649, 1431, 733, 12660, 26, 433, 649, 1431, 733, 1203, 311, 279, 4371, 344, 661, 82375, 13, 15636, 11, 1524, 422, 279, 50646, 706, 279, 85573, 11, 433, 649, 1431, 636, 1139, 279, 1828, 1732, 49216, 644, 4040, 11, 480, 90597, 323, 426, 1291, 9435, 36480, 291, 29900, 398, 1357, 388, 69652, 10928, 11165, 485, 442, 292, 1050, 83539, 7813, 300, 5528, 449, 264, 15207, 83510, 1887, 814, 8040, 6931, 420, 1060, 2663, 279, 5318, 8703, 292, 8957, 13010, 13, 1115, 5557, 20682, 54070, 315, 30548, 76523, 70, 788, 25481, 1139, 55513, 4341, 70, 788, 6305, 627, 31378, 5557, 11, 369, 279, 1176, 892, 11, 6276, 433, 311, 9041, 264, 19465, 29683, 1139, 264, 7187, 315, 7931, 2476, 480, 90597, 1071, 13, 66850, 72326, 60, 617, 6818, 449, 1063, 19622, 2085, 264, 15207, 6678, 11, 719, 814, 7846, 1431, 636, 1521, 272, 10053, 2392, 311, 617, 459, 5536, 13, 578, 15207, 20722, 584, 4070, 3549, 3871, 449, 19036, 7957, 510, 630, 60, 279, 1566, 25649, 6710, 315, 420, 5557, 11, 323, 584, 1288, 11, 304, 10334, 11, 387, 3025, 311, 9041, 1521, 17910, 46036, 311, 83201, 539, 1193, 311, 1884, 304, 279, 10278, 11, 719, 279, 4553, 7187, 49216, 9673, 15207, 83510, 5528, 33137, 420, 4007, 505, 3766, 6305, 13, 71854, 11, 264, 2349, 304, 832, 42589, 315, 15922, 649, 387, 9651, 23217, 311, 279, 1023, 13, 2052, 44304, 21953, 832, 15207, 505, 872, 27698, 323, 832, 505, 872, 40317, 13, 763, 420, 1162, 11, 422, 279, 7126, 706, 279, 12974, 15207, 11, 279, 7126, 753, 15207, 649, 387, 23217, 323, 1903, 11236, 304, 2225, 15922, 69864, 26, 279, 15207, 83510, 11236, 8800, 5196, 449, 264, 4832, 2450, 4478, 13, 24296, 11, 420, 5497, 690, 3136, 1523, 279, 82986, 1584, 11, 40599, 279, 1205, 311, 2218, 1855, 69263, 48336, 1599, 50646, 627, 2118, 71744, 449, 5912, 46211, 70664, 42922, 11, 499, 636, 264, 220, 1135, 3346, 6140, 315, 42922, 2476, 480, 90597, 3309, 279, 25460, 13, 1054, 644, 420, 1162, 11, 499, 617, 264, 220, 1041, 3346, 6140, 13, 1472, 527, 10805, 1354, 2740, 8030, 3359, 927, 904, 1023, 19465, 2449, 49216, 6788, 287, 10783, 315, 279, 31613, 5960, 18842, 8483, 50281, 6826, 8096, 27930, 718, 1543, 10666, 279, 31308, 38864, 315, 15207, 16039, 369, 2536, 26380, 44304, 11, 2737, 83201, 627, 11439, 311, 27930, 718, 1543, 11, 52033, 47141, 10099, 430, 649, 5353, 50600, 19338, 649, 2873, 1093, 264, 1054, 86, 14518, 1285, 3245, 2476, 719, 7978, 1778, 439, 420, 40806, 2447, 6920, 15635, 11, 1524, 422, 814, 1629, 39511, 13, 96716, 1436, 617, 8389, 50953, 25949, 477, 1022, 18996, 6372, 11, 369, 3187, 11, 264, 25983, 5052, 369, 20237, 13, 27930, 718, 1543, 753, 12090, 10105, 2997, 10168, 264, 1912, 315, 8545, 83201, 430, 1436, 387, 6004, 1578, 422, 279, 1176, 9659, 51713, 5435, 477, 39398, 21389, 430, 1436, 37088, 477, 10134, 2926, 19465, 29882, 627, 85625, 279, 12074, 6522 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 420, 7294, 1474, 58016, 4007, 11, 27930, 718, 1543, 15324, 872, 659, 66104, 2136, 323, 16994, 66196, 627, 14305, 12624, 4029, 2212, 420, 5557, 706, 2216, 25319, 709, 1633, 6288, 311, 2231, 3871, 5315, 323, 11351, 323, 16659, 311, 1456, 323, 2686, 539, 1120, 279, 12624, 4819, 11, 719, 279, 31308, 11774, 439, 1664, 2476, 27930, 718, 1543, 3309, 279, 25460, 13, 1054, 40, 1781, 31613, 5608, 1288, 387, 1633, 12691, 311, 617, 1274, 1093, 63264, 323, 78040, 3394, 1618, 11, 1606, 814, 3207, 7231, 264, 2763, 315, 3463, 311, 1521, 13124, 315, 4860, 779, 430, 584, 510, 1083, 12117, 60, 279, 5326, 430, 2555, 690, 733, 5076, 49216, 56441, 69263, 11, 304, 279, 3221, 3938, 420, 3495, 2447, 389, 83201, 649, 387, 9435, 311, 1023, 50600, 19338, 627, 14305, 1162, 315, 279, 294, 833, 361, 17188, 11, 921, 86152, 8624, 323, 921, 1609, 2234, 82371, 510, 548, 682, 60, 10973, 8522, 430, 584, 649, 15025, 1148, 584, 617, 6982, 311, 1023, 6067, 304, 4762, 539, 430, 1790, 892, 2476, 480, 90597, 1071, 13, 128001, 128000, 3947, 374, 912, 1938, 1093, 279, 1176, 1938, 315, 279, 2978, 1060, 477, 279, 1176, 1938, 315, 264, 4967, 3388, 13, 578, 7640, 13205, 369, 279, 1176, 18228, 2643, 617, 264, 6908, 5536, 389, 279, 16627, 11879, 430, 374, 922, 311, 1212, 627, 32052, 527, 4461, 311, 3217, 9709, 16024, 13, 1952, 279, 832, 842, 11, 814, 617, 311, 8493, 1063, 892, 11961, 304, 264, 24978, 477, 520, 872, 76915, 13176, 264, 6500, 26, 389, 279, 1023, 1450, 11, 814, 636, 311, 387, 449, 872, 4885, 477, 18105, 1578, 26, 477, 7344, 814, 527, 502, 57773, 323, 1475, 3254, 3245, 374, 264, 1176, 369, 1124, 627, 2520, 13639, 11, 433, 4536, 1431, 1790, 2204, 13, 44382, 369, 279, 1176, 1938, 315, 2978, 30, 1389, 1789, 2771, 420, 574, 539, 279, 8712, 389, 872, 20663, 2391, 7474, 13, 2030, 1457, 279, 892, 706, 2586, 323, 11, 8051, 279, 2978, 1060, 374, 2103, 922, 311, 1212, 11, 814, 649, 1431, 1520, 719, 2733, 43206, 449, 682, 814, 617, 311, 656, 311, 6106, 430, 872, 1176, 18228, 374, 264, 2450, 627, 8538, 9293, 323, 279, 1314, 12917, 5070, 690, 1520, 499, 387, 7373, 10235, 323, 6106, 499, 617, 264, 11113, 323, 42093, 1938, 13, 5810, 527, 1063, 10631, 311, 1304, 264, 2294, 1176, 21455, 323, 311, 636, 279, 1060, 1022, 311, 264, 6992, 1212, 13, 358, 4639, 7362, 15823, 320, 23392, 11, 6063, 323, 43288, 8, 323, 279, 10688, 3770, 527, 6848, 369, 1176, 1938, 315, 2978, 477, 1203, 311, 2978, 7640, 369, 6498, 53243, 13, 4452, 11, 682, 1521, 7640, 649, 387, 6847, 30464, 311, 1023, 3917, 5789, 627, 51690, 264, 4062, 7274, 311, 636, 311, 1440, 1855, 1023, 198, 5519, 264, 2523, 10054, 55407, 5820, 311, 2231, 5127, 520, 14553, 449, 264, 66583, 7274, 13, 1115, 374, 8104, 3062, 422, 1070, 527, 502, 4236, 304, 279, 538, 13, 1442, 814, 527, 6975, 264, 7362, 4221, 11, 433, 374, 1524, 2731, 1606, 420, 5820, 6835, 5127, 279, 6140, 311, 6604, 304, 538, 13, 4452, 11, 433, 374, 7718, 311, 6106, 430, 1475, 5575, 374, 5644, 311, 1935, 961, 304, 459, 7274, 627, 12, 1102, 682, 8638, 449, 264, 4382, 11914, 25, 4236, 19678, 5694, 7231, 2697, 2038, 320, 37860, 836, 323, 1405, 814, 3974, 4390, 12, 5112, 4131, 264, 14624, 5820, 25, 4236, 9020, 311, 323, 1380, 3191, 2875, 4860, 323, 11503, 311, 6106, 814, 682, 617, 1063, 16101, 1418, 65816, 872, 61190, 13, 4314, 4860, 323, 11503, 690, 7916, 12410, 323, 14553, 24087, 627, 12, 21069, 279, 4236, 311, 2559, 709, 323, 7274, 279, 1732, 1828, 311, 1124, 13, 1115, 1648, 11, 814, 2834, 1431, 617, 311, 5268, 323, 19093, 690, 2733, 2163, 704, 13, 1442, 1070, 753, 459, 10535, 1396, 315, 4236, 11, 279, 11326, 7504, 304, 323, 5097, 961, 304, 279, 5820, 627, 12, 12220, 279, 7274, 11, 4236, 1935, 1063, 8554, 922, 279, 61190, 814, 617, 1047, 279, 6140, 311, 3449, 627, 12, 1666, 5246, 439, 814, 6381, 65816, 872, 1176, 2489, 11, 814, 3351, 311, 2500, 1732, 323, 13454, 279, 7274, 13, 3402, 295, 684, 374, 9193, 3062, 994, 6975, 264, 502, 4221, 13, 4452, 11, 304, 420, 5820, 11, 2533, 279, 4236, 527, 2744, 7556, 311, 2204, 61190, 11, 814, 2834, 1431, 2733, 1093, 814, 527, 40916, 5694, 627, 1271, 636, 11944, 2038, 922, 420, 5820, 11, 1373, 810, 40171, 2181, 374, 1695, 311, 2567, 304, 4059, 430, 279, 1176, 1938, 315, 2978, 374, 1101, 279, 1176, 1938, 315, 459, 14584, 1060, 13, 46551, 701, 4236, 529, 18000, 374, 264, 10683, 2541, 311, 264, 6992, 2978, 1060, 13, 362, 11326, 22658, 6498, 9580, 3475, 19690, 374, 264, 2011, 69584, 369, 1475, 13326, 11326, 11, 323, 649, 6847, 387, 1511, 439, 264, 1203, 4791, 35789, 5820, 13, 2057, 636, 11944, 2038, 922, 420, 5820, 323, 1268, 311, 1005, 433, 304, 538, 11, 1373, 1057, 5117, 1772, 389, 82935, 287, 323, 12917, 6498, 311, 9709, 5845, 4236, 505, 1938, 220, 16, 627, 4198, 4210, 3953, 449, 264, 1579, 2450, 4478, 198, 4110, 264, 24729, 20247, 323, 14553, 4236, 529, 74884, 32606, 555, 5737, 264, 74032, 1847, 627, 1687, 617, 1403, 5644, 4791, 25700, 3953, 369, 6498, 53243, 11, 832, 311, 3477, 279, 24561, 9170, 323, 2500, 832, 3196, 389, 4279, 21294, 304, 6498, 627, 1687, 1101, 617, 20506, 449, 10321, 54600, 38480, 430, 499, 649, 1005, 311, 5774, 279, 2038, 430, 1888, 29076, 701, 538, 477, 3917, 627, 8586, 527, 1063, 6848, 25, 320, 16, 8, 24978, 5718, 323, 30597, 1389, 499, 649, 19678, 3062, 4519, 315, 279, 3130, 323, 279, 2978, 323, 3118, 279, 1455, 3062, 24978, 30597, 304, 264, 57169, 1648, 11, 8617, 31526, 52588, 704, 264, 1160, 26, 320, 17, 8, 3488, 311, 3477, 8767, 15972, 2262, 11, 5099, 627, 2675, 649, 2103, 1005, 279, 4860, 304, 264, 37736, 311, 65836, 279, 2262, 315, 701, 1847, 13, 578, 3896, 369, 459, 1306, 19959, 37736, 374, 1101, 3984, 627, 2028, 374, 264, 4382, 14584, 5820, 430, 649, 6847, 387, 30464, 311, 2875, 8544, 323, 15803, 264, 1579, 2450, 4478, 13, 4314, 690, 7916, 12410, 323, 14553, 24087, 13, 2057, 636, 11944, 2038, 389, 1268, 311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1005, 1521, 3953, 304, 538, 11, 1373, 810, 40171, 791, 5070, 304, 279, 9364, 3770, 2997, 264, 37736, 323, 264, 54600, 51968, 13, 2435, 1051, 6319, 439, 264, 1203, 4791, 35789, 10054, 65221, 369, 53243, 315, 6498, 13, 763, 5369, 11, 1521, 5070, 649, 387, 1101, 387, 1511, 311, 19678, 264, 10430, 389, 279, 12939, 315, 6498, 304, 279, 1917, 13, 2435, 527, 4382, 323, 23387, 369, 53243, 315, 682, 4325, 21986, 627, 2181, 753, 264, 4382, 5211, 311, 1464, 279, 10054, 304, 6989, 449, 4236, 315, 2204, 5990, 1606, 1524, 1884, 520, 279, 15821, 5990, 690, 2733, 16913, 311, 1935, 961, 304, 279, 18228, 627, 16179, 3738, 11503, 2873, 5115, 8196, 11, 1070, 374, 2744, 2555, 502, 311, 4048, 922, 279, 6498, 62290, 1917, 13, 2468, 2162, 11, 4236, 649, 656, 1063, 3495, 311, 1505, 704, 279, 1023, 6498, 62290, 5961, 539, 11054, 304, 538, 13, 2435, 649, 3010, 4430, 279, 1121, 315, 872, 3495, 449, 279, 538, 13, 2057, 636, 11944, 2038, 922, 420, 5820, 11, 1373, 810, 40171, 791, 5070, 304, 279, 9364, 3770, 2997, 264, 37736, 323, 279, 4320, 1401, 13, 578, 1176, 832, 374, 1949, 13, 578, 2132, 832, 374, 264, 7318, 2027, 719, 433, 5764, 38509, 3626, 439, 1664, 439, 264, 54600, 51968, 13, 2435, 1051, 6319, 311, 1520, 4236, 2274, 872, 5845, 311, 409, 7750, 3674, 57327, 13, 2435, 527, 4382, 323, 23387, 369, 53243, 315, 682, 4325, 21986, 13, 128001, 128000, 2520, 4661, 264, 9478, 584, 617, 6319, 14016, 1701, 3116, 24693, 7384, 25, 9699, 11, 14509, 11, 45888, 323, 296, 51893, 13, 2684, 617, 1027, 1063, 26006, 1389, 584, 4070, 35319, 9699, 3857, 12562, 323, 28711, 11, 8040, 864, 3914, 14509, 323, 3549, 46036, 45888, 3956, 1778, 439, 2840, 360, 309, 323, 7121, 51, 1389, 719, 279, 24693, 5540, 315, 1455, 14016, 527, 1903, 315, 832, 315, 1884, 3116, 7384, 13, 1226, 3604, 1005, 14509, 779, 1790, 430, 433, 374, 1457, 279, 2132, 63498, 44611, 20278, 389, 9578, 26, 279, 1193, 3245, 584, 617, 810, 315, 374, 3090, 627, 3923, 374, 433, 922, 1521, 3116, 7384, 430, 3727, 1124, 779, 2294, 30, 1628, 11, 449, 6908, 30116, 31003, 304, 1023, 26593, 11, 1148, 753, 23351, 603, 505, 11469, 2886, 804, 11, 810, 11297, 2671, 5380, 84694, 9539, 374, 459, 17235, 5505, 3769, 13, 1102, 753, 12136, 11, 4228, 311, 1304, 323, 1005, 11, 323, 13882, 16365, 13, 1102, 4375, 1664, 304, 26168, 323, 11, 994, 10489, 18908, 11, 706, 264, 12309, 1317, 2324, 13, 2030, 527, 584, 1701, 14509, 1606, 433, 753, 279, 1455, 14791, 3769, 11, 477, 527, 584, 30829, 1057, 14016, 311, 7937, 264, 14509, 6070, 1606, 433, 753, 12136, 323, 4228, 30, 1442, 279, 15629, 11, 1436, 584, 387, 1701, 1023, 7384, 4619, 5380, 4054, 315, 279, 1925, 30740, 311, 1701, 2753, 21349, 7384, 374, 19812, 13, 1789, 264, 24693, 24490, 11, 279, 30689, 1648, 311, 9541, 430, 701, 6070, 374, 7937, 2915, 1664, 6319, 374, 311, 2955, 433, 311, 279, 20026, 26899, 11, 323, 279, 7384, 9960, 1455, 27461, 527, 9699, 11, 14509, 11, 45888, 323, 296, 51893, 13, 12540, 499, 3567, 6629, 505, 1521, 11, 1120, 7922, 701, 6070, 311, 4857, 2585, 323, 8276, 12850, 9221, 810, 5107, 13, 7570, 13882, 1511, 7384, 1778, 439, 9998, 1397, 810, 17879, 7649, 323, 42535, 11, 323, 499, 3629, 617, 311, 29243, 1124, 311, 279, 10886, 369, 1023, 7384, 1389, 369, 3187, 11, 264, 9998, 6070, 2643, 3449, 5596, 315, 279, 296, 51893, 2082, 439, 1664, 439, 5596, 315, 1206, 3071, 14236, 627, 13461, 29546, 4382, 7384, 649, 387, 5107, 311, 9541, 11, 719, 449, 7649, 323, 459, 1825, 34423, 31072, 1070, 527, 1690, 3428, 42357, 11, 3428, 24948, 6098, 5933, 8246, 2671, 902, 1288, 387, 6646, 13, 1952, 264, 2816, 449, 279, 1314, 5015, 4787, 11, 18302, 2106, 9578, 14620, 1436, 1180, 439, 264, 2865, 92253, 6070, 11, 422, 499, 3207, 10235, 311, 11857, 279, 43563, 6932, 311, 2187, 369, 264, 2204, 3169, 315, 8246, 13, 57944, 293, 3916, 11, 477, 293, 3916, 1903, 505, 264, 8205, 315, 1023, 47658, 7384, 11, 649, 1101, 387, 1511, 439, 264, 24693, 2449, 11, 1418, 1101, 10695, 311, 1672, 6468, 279, 4857, 13, 53036, 10215, 11, 1903, 505, 312, 1040, 275, 2844, 12571, 90424, 11, 649, 387, 1511, 439, 264, 30244, 24693, 10778, 11, 10209, 1695, 13957, 311, 4027, 11, 3090, 323, 5868, 627, 2746, 584, 1427, 311, 810, 1579, 42357, 7384, 11, 9168, 49680, 12466, 320, 97093, 8, 323, 12782, 57525, 649, 2225, 387, 1511, 2080, 43024, 13, 7089, 19647, 617, 1903, 1005, 315, 1521, 7384, 449, 2294, 2450, 323, 1070, 527, 1063, 10507, 315, 1124, 1694, 1511, 304, 8246, 13, 22208, 57525, 706, 12207, 5190, 8333, 1109, 9699, 1418, 1694, 33452, 30673, 11, 3339, 433, 10728, 369, 9333, 24693, 5829, 1405, 279, 4785, 374, 3062, 320, 21470, 439, 31553, 570, 3277, 13126, 433, 439, 264, 8246, 3769, 11, 4869, 11, 1202, 12207, 5190, 2853, 374, 6118, 14541, 3486, 1389, 1701, 433, 304, 10824, 449, 2500, 3769, 477, 304, 264, 6671, 1405, 279, 4785, 374, 3062, 1436, 387, 459, 3072, 4619, 13, 15116, 47, 21988, 617, 1027, 1511, 7946, 304, 1579, 58574, 15082, 11, 8104, 439, 433, 649, 6920, 1579, 22781, 458, 21577, 323, 374, 264, 6724, 81073, 323, 2536, 15204, 68243, 3769, 13, 11995, 15116, 47, 323, 12904, 47, 320, 74441, 49680, 12466, 8, 527, 2736, 1511, 369, 6485, 27367, 1206, 3071, 21988, 627, 2746, 584, 2187, 1057, 4857, 7739, 311, 387, 6197, 555, 279, 7384, 11, 8530, 584, 1436, 16343, 279, 3428, 42357, 323, 1579, 42357, 304, 810, 19018, 28559, 311, 1304, 279, 1888, 315, 872, 24693, 6012, 13, 1226, 1436, 1893, 220, 18, 35, 17124, 12904, 47, 8310, 323, 5438, 288, 12899, 18302, 2106, 9578, 35684, 82, 11, 477, 264, 2865, 92253, 7147, 14454, 505, 34928, 49680, 449, 12466, 16178, 417, 13, 578, 24525, 527, 26762, 3131, 584, 636, 10882, 449, 264, 22622, 2134, 315, 7384, 627, 2244, 7344, 1070, 753, 2500, 3769, 704, 1070, 430, 584, 9167, 1431, 11352, 3686, 13, 3161, 14509, 323, 9699, 779, 31368, 2561, 11, 323, 12309, 2697, 18361, 315, 279, 12434, 25949, 315, 17843, 1521, 7384, 11, 8530, 279, 4360, 374, 430, 584, 4070, 10717, 4560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 311, 1505, 2555, 2731, 13, 1561, 7384, 690, 2744, 387, 810, 5107, 323, 810, 11646, 311, 1005, 11, 719, 279, 810, 24716, 814, 527, 11, 279, 23917, 323, 2731, 16365, 814, 3719, 13, 1226, 4250, 323, 1288, 539, 3136, 311, 1977, 304, 14509, 1120, 1606, 433, 753, 4228, 1389, 1057, 11841, 5042, 649, 1431, 1862, 433, 13, 1226, 617, 311, 1505, 5627, 311, 1005, 1023, 7384, 430, 617, 2753, 315, 459, 5536, 11, 1524, 422, 433, 753, 810, 5107, 13, 128001, 128000, 12389, 499, 1027, 1523, 279, 26828, 60779, 304, 279, 30687, 3637, 6051, 30, 1442, 779, 11, 810, 1109, 4461, 499, 1550, 539, 1518, 2418, 26261, 26828, 389, 279, 28745, 13, 1102, 374, 79462, 11, 323, 422, 499, 1390, 311, 1505, 420, 26828, 11, 433, 374, 1193, 369, 6412, 304, 264, 2478, 7634, 13, 1472, 649, 1427, 2930, 11, 499, 649, 733, 311, 279, 2890, 3691, 3637, 11, 477, 499, 649, 733, 311, 1561, 17340, 13, 8595, 690, 499, 1505, 433, 304, 1561, 17340, 30, 1472, 1505, 433, 1070, 1606, 430, 374, 1405, 279, 12690, 527, 902, 8356, 420, 26828, 13, 3011, 374, 3249, 2418, 26261, 26828, 374, 779, 11646, 627, 39, 2596, 323, 16183, 24904, 388, 198, 1692, 26261, 26828, 706, 5016, 6012, 11, 7863, 311, 1023, 52122, 1065, 15042, 1917, 25480, 13, 578, 79784, 369, 420, 26828, 4131, 505, 279, 1561, 17340, 2009, 418, 437, 20508, 372, 2522, 454, 34765, 5021, 627, 2028, 5021, 11383, 21986, 505, 220, 22, 311, 220, 845, 7693, 16615, 11, 719, 7170, 433, 28815, 439, 1579, 439, 220, 2491, 7693, 13, 578, 12690, 3139, 8545, 11, 304, 279, 1579, 36958, 315, 279, 3224, 753, 3117, 86794, 13, 93720, 279, 26828, 374, 67572, 555, 36125, 627, 791, 3492, 2418, 26261, 374, 279, 39678, 57278, 404, 3492, 369, 279, 2009, 418, 437, 20508, 372, 2522, 454, 34765, 5021, 13, 578, 39678, 11583, 13915, 85761, 433, 369, 1202, 1455, 5199, 1005, 439, 264, 58041, 6136, 13, 2893, 288, 8356, 2418, 26261, 26828, 505, 279, 79784, 315, 279, 23153, 13, 578, 26828, 374, 6453, 12932, 477, 14198, 304, 1933, 11, 449, 459, 9578, 88, 17615, 627, 85102, 32934, 362, 1740, 18410, 198, 791, 19837, 52554, 1990, 220, 17, 311, 220, 23, 5672, 824, 1060, 11, 11911, 389, 36899, 9282, 4787, 627, 3915, 1060, 311, 1060, 1070, 527, 27339, 304, 279, 9282, 13, 435, 531, 458, 17614, 11, 6136, 9606, 11, 279, 2890, 315, 279, 40558, 11, 3428, 20472, 11, 323, 1579, 29592, 682, 7958, 279, 4367, 315, 279, 2418, 26261, 308, 39916, 13, 578, 37143, 323, 25107, 5990, 315, 279, 17614, 527, 1101, 9547, 627, 20989, 1534, 38328, 12, 56638, 990, 6288, 323, 30820, 311, 6667, 279, 26828, 13, 2435, 1390, 311, 1893, 439, 2697, 8631, 439, 3284, 369, 279, 40558, 627, 3648, 17340, 40715, 51310, 198, 2460, 2418, 26261, 26828, 2011, 387, 12793, 1603, 433, 374, 35990, 505, 279, 3224, 13, 1102, 2011, 3449, 3738, 3230, 10886, 11, 902, 11621, 311, 279, 2853, 315, 279, 26828, 13, 1115, 374, 832, 2944, 3249, 420, 26828, 374, 779, 11646, 627, 791, 1403, 1925, 66288, 6067, 430, 814, 1005, 304, 1561, 17340, 311, 12239, 2418, 26261, 26828, 527, 386, 15881, 323, 549, 32707, 627, 11439, 311, 3495, 11, 1070, 527, 21196, 71034, 7720, 304, 2418, 26261, 26828, 1606, 315, 279, 25795, 386, 42972, 70, 56828, 278, 320, 44, 15881, 8, 430, 18182, 6866, 304, 420, 26828, 627, 2170, 264, 6037, 11, 279, 5190, 279, 386, 15881, 11, 279, 2731, 279, 53500, 323, 4367, 315, 279, 26828, 690, 387, 11, 323, 279, 5190, 279, 386, 15881, 10959, 627, 791, 386, 15881, 66288, 1887, 374, 1511, 311, 6767, 279, 8333, 315, 279, 26828, 627, 2864, 37, 320, 23657, 2418, 26261, 38829, 340, 791, 29750, 2418, 26261, 38829, 40715, 10229, 29972, 279, 549, 32707, 32464, 13, 578, 9546, 315, 5016, 12223, 32246, 1389, 2009, 418, 437, 716, 258, 11, 423, 17455, 11, 323, 386, 15881, 1389, 27667, 279, 4367, 315, 279, 26828, 13, 578, 5190, 279, 12472, 315, 1521, 5016, 12223, 32246, 11, 279, 2731, 279, 53500, 323, 4367, 315, 279, 26828, 690, 387, 13, 578, 5190, 4367, 26828, 690, 5371, 264, 5190, 549, 32707, 10959, 627, 11342, 1073, 9761, 278, 323, 22950, 333, 9761, 278, 198, 3947, 527, 1023, 96771, 439, 1664, 369, 279, 26828, 13, 9636, 1561, 17340, 2383, 3206, 1073, 9761, 278, 323, 22950, 333, 9761, 278, 527, 1403, 810, 96771, 627, 11342, 1073, 9761, 278, 40715, 374, 9124, 555, 40558, 889, 6667, 308, 39916, 505, 279, 2418, 26261, 30773, 5196, 13, 1102, 4131, 505, 279, 1455, 8870, 13918, 315, 1561, 17340, 323, 374, 20802, 505, 279, 893, 26261, 30773, 24121, 13, 1102, 706, 279, 8592, 386, 15881, 323, 374, 279, 1455, 11646, 315, 279, 52122, 1065, 627, 2028, 26828, 374, 5762, 311, 84818, 10886, 1109, 22950, 333, 9761, 278, 40715, 13, 1102, 2011, 3449, 1403, 18182, 31965, 24915, 994, 279, 79784, 1296, 374, 10887, 627, 8538, 45892, 315, 3206, 1073, 9761, 278, 2418, 26261, 40715, 902, 2586, 505, 279, 1455, 8870, 13918, 315, 1561, 17340, 11, 649, 617, 459, 386, 15881, 439, 1579, 439, 220, 19899, 627, 791, 22950, 333, 9761, 278, 40715, 2440, 3445, 430, 279, 40558, 4034, 2225, 279, 2418, 26261, 30773, 323, 1023, 19837, 13, 1102, 374, 1695, 369, 18254, 1005, 13, 578, 386, 15881, 649, 387, 439, 3428, 439, 220, 966, 13, 22950, 333, 9761, 278, 40715, 374, 539, 439, 11646, 439, 3206, 1073, 9761, 278, 40715, 627, 2170, 264, 6037, 315, 25015, 11, 4205, 927, 220, 15666, 386, 15881, 477, 220, 605, 549, 32707, 374, 6646, 37471, 477, 58041, 12239, 26828, 627, 72326, 11383, 7655, 430, 279, 386, 15881, 374, 279, 1888, 1648, 311, 8417, 264, 26828, 753, 79312, 83059, 3554, 78852, 13419, 8333, 13, 578, 66288, 1887, 11383, 21986, 505, 220, 966, 386, 15881, 311, 220, 19899, 386, 15881, 13, 578, 7191, 279, 1396, 11, 279, 16643, 279, 79312, 83059, 5820, 627, 791, 1888, 2418, 26261, 26828, 690, 2744, 387, 279, 832, 449, 279, 8592, 12239, 13, 1102, 1288, 617, 279, 1455, 21196, 71034, 6012, 323, 279, 8592, 4754, 369, 2890, 7720, 627, 4438, 499, 3197, 389, 1701, 279, 26828, 27667, 902, 12239, 315, 26828, 499, 690, 1390, 311, 7782, 13, 1442, 499, 1390, 311, 1005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 433, 439, 264, 3663, 7056, 477, 1120, 311, 10437, 268, 701, 15600, 11, 499, 1253, 539, 1397, 279, 1455, 11646, 7782, 627, 87978, 15881, 8651, 2864, 37, 8651, 4438, 1102, 3053, 2893, 12477, 7511, 91, 6069, 8651, 20, 10, 8651, 9230, 2237, 13, 37866, 43226, 22822, 13, 7511, 91, 15666, 8651, 605, 10, 8651, 42094, 2237, 13, 89616, 10519, 1695, 2890, 13, 7511, 91, 20998, 8651, 868, 10, 8651, 12243, 549, 32707, 13, 7839, 21196, 71034, 6012, 13, 7511, 91, 26218, 8651, 508, 10, 8651, 26840, 1579, 549, 32707, 13, 42041, 21196, 71034, 6012, 13, 7511, 1016, 261, 32486, 2418, 26261, 40715, 39923, 198, 3923, 2890, 7720, 527, 5938, 449, 2418, 26261, 26828, 30, 4427, 3115, 279, 21196, 71034, 7138, 315, 279, 26828, 374, 279, 1455, 5199, 8331, 13, 4427, 13422, 304, 902, 499, 1253, 1093, 264, 5190, 2237, 315, 21196, 71034, 8935, 1436, 387, 512, 12, 1442, 499, 527, 11039, 264, 9439, 477, 19405, 627, 12, 2057, 7945, 304, 21730, 264, 8395, 477, 264, 27653, 627, 12, 1789, 16048, 315, 15235, 2890, 477, 74502, 627, 12, 28049, 2512, 439, 264, 6514, 369, 46905, 11, 305, 1924, 11, 323, 12208, 89, 9355, 627, 3923, 1587, 433, 12945, 1093, 5380, 8538, 7664, 2418, 26261, 26828, 753, 12945, 439, 1694, 1054, 686, 27520, 863, 3885, 1650, 433, 1054, 4620, 323, 10284, 26242, 11453, 4427, 1071, 814, 1053, 1005, 433, 369, 872, 6930, 11, 719, 1053, 4856, 539, 1005, 433, 439, 3691, 1606, 315, 1202, 1054, 4620, 17615, 2029, 4427, 1274, 10932, 1202, 17615, 0, 1102, 1587, 617, 1202, 1866, 5016, 17615, 4999, 644, 1561, 17340, 11, 2418, 26261, 26828, 706, 1027, 1511, 8249, 38745, 369, 1690, 1667, 13, 4800, 433, 374, 1694, 35990, 15603, 627, 10445, 2418, 26261, 40715, 374, 779, 7943, 4114, 198, 2170, 584, 9932, 11, 279, 26828, 1766, 304, 279, 1455, 8870, 7634, 304, 1561, 17340, 11, 449, 279, 8592, 386, 15881, 11, 374, 2133, 311, 617, 279, 8592, 3430, 4877, 13, 1666, 264, 6037, 11, 279, 5190, 279, 549, 32707, 477, 279, 386, 15881, 10959, 11, 279, 810, 11646, 279, 26828, 627, 3923, 37970, 2418, 26261, 40715, 9984, 304, 279, 5629, 11004, 5380, 2460, 26828, 706, 21196, 71034, 6012, 1606, 433, 5727, 35784, 824, 55189, 13, 7648, 26828, 1101, 5727, 386, 15881, 11, 719, 304, 3428, 33776, 13, 3639, 3727, 2418, 26261, 26828, 779, 3361, 374, 279, 57899, 1579, 32466, 315, 386, 15881, 627, 3947, 527, 1690, 2890, 8349, 369, 2418, 26261, 26828, 753, 5016, 6012, 13, 4427, 16968, 1202, 1005, 439, 264, 9572, 27208, 11, 1063, 439, 264, 3445, 315, 46301, 6680, 39086, 11, 477, 4087, 7922, 6930, 13, 578, 2890, 8349, 87690, 13, 4427, 1253, 387, 5505, 323, 1063, 927, 2067, 785, 627, 644, 220, 3753, 16, 11, 2999, 11291, 33518, 276, 11, 264, 12374, 14561, 315, 17332, 52755, 304, 1561, 17340, 11, 57098, 279, 2890, 7720, 315, 2418, 26261, 26828, 627, 3947, 527, 8349, 430, 433, 1375, 39235, 60071, 82907, 11, 1778, 439, 13935, 93262, 11, 95447, 30020, 11, 323, 8582, 42631, 4819, 1093, 76914, 20000, 11, 58742, 11, 323, 36366, 60187, 1900, 13, 1102, 67232, 279, 22852, 1887, 323, 374, 21196, 71034, 304, 7138, 311, 1520, 4465, 19405, 627, 32, 7876, 11218, 46083, 10180, 2418, 26261, 40715, 4999, 1692, 26261, 40715, 435, 2866, 7445, 57276, 627, 9023, 13, 56004, 25581, 505, 279, 3907, 315, 21972, 753, 6150, 315, 60825, 323, 18654, 48059, 77948, 5979, 2436, 10555, 430, 46850, 617, 264, 2875, 28745, 2324, 13, 578, 24032, 814, 3440, 3719, 31785, 311, 279, 60595, 11, 3339, 1124, 29948, 927, 892, 627, 32, 1934, 4756, 528, 279, 7665, 10139, 315, 33135, 18654, 81162, 323, 88911, 1245, 70674, 11, 11922, 430, 2418, 26261, 26828, 7577, 4661, 1475, 17854, 2411, 323, 1853, 11968, 433, 574, 12793, 389, 13, 27140, 1023, 46850, 11, 7000, 315, 279, 23367, 12793, 1051, 3025, 311, 18167, 279, 26828, 6514, 627, 5519, 39700, 1705, 84303, 449, 4314, 6401, 51198, 5380, 791, 23649, 29683, 315, 2418, 26261, 37471, 12239, 26828, 374, 1202, 76964, 304, 18646, 323, 21730, 34254, 627, 79570, 17462, 1705, 656, 539, 2744, 7655, 13, 4452, 11, 1690, 8541, 311, 7655, 449, 279, 2890, 8349, 5938, 449, 2418, 26261, 26828, 11, 439, 433, 36716, 311, 1202, 21196, 71034, 11, 3276, 344, 37478, 11, 323, 7294, 67595, 6012, 627, 3923, 311, 9372, 369, 3277, 53792, 4522, 2418, 26261, 40715, 198, 12, 578, 26828, 2440, 15151, 433, 574, 47237, 323, 30929, 304, 1561, 17340, 627, 12, 1102, 2011, 13519, 1202, 2763, 477, 7309, 11, 323, 1054, 22696, 1396, 113068, 12, 578, 2440, 1288, 2019, 1054, 71, 2596, 863, 323, 539, 459, 10778, 627, 12, 578, 2440, 1288, 2997, 279, 2686, 315, 279, 14290, 11, 3854, 261, 11, 477, 21390, 627, 12, 9372, 369, 1054, 2864, 37, 863, 32464, 627, 12, 578, 5593, 2011, 2997, 43226, 2038, 4184, 311, 10886, 315, 279, 1561, 17340, 3109, 627, 42575, 311, 13969, 304, 23754, 198, 12, 32388, 315, 57596, 25481, 11, 5423, 4315, 1274, 889, 527, 57596, 311, 40558, 627, 12, 3234, 539, 3041, 2418, 26261, 26828, 11, 477, 904, 26828, 311, 24869, 1234, 220, 717, 4038, 2362, 627, 12, 20902, 15055, 315, 2418, 26261, 26828, 1436, 5376, 6680, 13465, 5990, 13, 7923, 10448, 1233, 1288, 1005, 420, 449, 2512, 627, 5618, 26257, 264, 12535, 4999, 40, 1053, 3021, 311, 6865, 505, 499, 11, 617, 499, 3596, 1511, 2418, 26261, 26828, 13, 1442, 779, 11, 1405, 1550, 499, 3780, 433, 11, 505, 264, 2890, 3691, 3637, 11, 477, 2930, 30, 3639, 374, 701, 9647, 922, 1202, 17615, 30, 40070, 499, 3596, 304, 1561, 17340, 5380, 52125, 25, 1442, 499, 617, 904, 10742, 477, 4860, 922, 701, 2890, 11, 499, 1288, 2744, 8666, 449, 264, 28378, 477, 1023, 18985, 6721, 13, 2360, 2262, 389, 420, 2816, 1288, 387, 63196, 369, 2167, 6593, 9650, 505, 701, 10896, 477, 1023, 15337, 18985, 55472, 13, 578, 2038, 13282, 1618, 374, 369, 47735, 10096, 1193, 13, 1102, 374, 505, 856, 3495, 323, 4443, 3217, 13, 128001, 128000, 74742, 279, 9244, 198, 32, 7876, 3907, 44068, 27983, 586, 8830, 323, 48451, 369, 40804, 304, 87952, 198, 4599, 17089, 41003, 304, 25981, 11, 1884, 29536, 9455, 5694, 304, 9354, 18455, 527, 304, 12544, 13, 12220, 279, 5629, 4435, 5111, 11, 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 ]
[ 3610, 779, 2663, 3451, 28928, 37219, 529, 1051, 2655, 291, 555, 12896, 519, 991, 19505, 389, 264, 3728, 5569, 13, 1115, 574, 3629, 10815, 311, 3544, 13230, 28338, 811, 1990, 5961, 323, 66959, 13, 578, 5044, 315, 1521, 3451, 17666, 19715, 529, 12697, 315, 279, 8681, 5111, 706, 682, 719, 59581, 439, 814, 1550, 539, 5052, 1139, 62520, 9478, 52805, 315, 12084, 2191, 323, 28235, 13, 3451, 74742, 279, 19940, 529, 1421, 9146, 323, 64793, 9521, 420, 5044, 11, 6968, 48451, 369, 30028, 40804, 315, 682, 5426, 1385, 304, 87952, 13, 4514, 479, 323, 59371, 527, 2103, 44664, 555, 1690, 5961, 3432, 11, 2737, 13527, 627, 626, 830, 276, 2418, 89, 374, 17054, 315, 6063, 323, 8121, 11346, 323, 264, 37946, 315, 279, 16591, 41143, 13581, 13, 5414, 3495, 12034, 2997, 12172, 7978, 11, 279, 5629, 4435, 5111, 11, 323, 8013, 12279, 4858, 4398, 13, 50002, 1101, 10187, 264, 8483, 65742, 304, 279, 6011, 315, 41143, 323, 34243, 19241, 520, 279, 3907, 315, 63039, 11015, 11, 4987, 10384, 627, 791, 2447, 24400, 389, 30028, 2655, 479, 29135, 304, 279, 8013, 21080, 2391, 279, 5629, 4435, 5111, 11, 10168, 220, 1135, 11, 931, 10213, 6063, 11, 719, 1101, 13222, 299, 11529, 2234, 8997, 11, 24666, 323, 89724, 57011, 889, 1047, 23183, 304, 21080, 10687, 1603, 220, 7529, 19, 13, 32255, 449, 17054, 11233, 1609, 437, 11233, 112717, 320, 1951, 9995, 4057, 3907, 705, 17054, 2418, 89, 4036, 11006, 505, 279, 20524, 3315, 13370, 18126, 5114, 311, 1080, 43802, 264, 3495, 1647, 3257, 369, 26275, 3907, 8612, 20458, 61581, 304, 279, 21080, 13, 16803, 1122, 4514, 479, 304, 279, 8013, 21080, 2391, 279, 5629, 4435, 5111, 627, 16397, 813, 3495, 50002, 43522, 7366, 7493, 922, 709, 2959, 291, 7931, 323, 834, 396, 48272, 10977, 13, 1283, 1766, 52448, 69153, 323, 22755, 9124, 555, 42712, 13, 45397, 505, 39720, 323, 2911, 7556, 922, 3674, 31398, 11, 7100, 67650, 323, 59371, 439, 279, 3070, 16385, 53245, 574, 16447, 3201, 13, 1283, 1101, 1766, 6029, 315, 34076, 13042, 7640, 4920, 279, 9244, 1778, 439, 34596, 24601, 323, 16627, 6989, 13, 12220, 813, 4113, 3495, 568, 1903, 264, 1486, 315, 26984, 3769, 430, 79018, 5196, 311, 586, 10758, 13, 1283, 78174, 449, 8717, 304, 10977, 6957, 279, 38298, 323, 279, 3723, 4273, 311, 11993, 279, 5044, 315, 872, 20081, 2254, 29135, 627, 2127, 48388, 7532, 5536, 13500, 5535, 17054, 2418, 89, 311, 19570, 420, 3769, 311, 279, 4689, 586, 389, 264, 3728, 5569, 13, 578, 3728, 19240, 315, 7640, 374, 279, 13945, 64868, 4514, 479, 8483, 14821, 304, 279, 27188, 81812, 30802, 11, 12897, 875, 13, 578, 24894, 800, 5598, 29135, 574, 279, 8706, 3190, 304, 51115, 13527, 2391, 279, 5629, 4435, 5111, 13, 17054, 2418, 89, 753, 3495, 8710, 430, 3432, 279, 2816, 374, 315, 3728, 69637, 26431, 25, 433, 374, 279, 1888, 34683, 2816, 315, 264, 29144, 40, 2655, 479, 3190, 304, 279, 1917, 13, 1115, 2038, 706, 1766, 1202, 1648, 1139, 586, 7384, 922, 279, 5654, 627, 8006, 8717, 617, 5343, 2917, 3046, 11, 39211, 22012, 11, 34596, 24190, 11, 2254, 51801, 11, 73804, 323, 13639, 11, 682, 1080, 90375, 77361, 44014, 311, 5536, 449, 50002, 323, 264, 2128, 315, 1023, 48709, 6197, 555, 1461, 13, 8092, 2336, 5343, 264, 31829, 28099, 6982, 304, 586, 12908, 304, 13527, 11, 14990, 11, 7008, 11, 4987, 10384, 323, 279, 3723, 4273, 26, 37680, 34596, 11335, 13517, 10887, 4920, 279, 9244, 26, 3544, 13230, 16099, 8082, 323, 14807, 315, 6063, 4113, 8336, 1139, 6498, 26, 323, 16627, 5070, 369, 6156, 8853, 627, 35656, 304, 279, 7640, 706, 1027, 22798, 13, 578, 2380, 34596, 24601, 304, 43997, 11, 41406, 323, 12897, 875, 1051, 682, 6216, 704, 449, 264, 11093, 10877, 315, 220, 11209, 13, 578, 28099, 706, 1027, 3970, 555, 220, 868, 11, 931, 15613, 15603, 11, 449, 810, 1501, 826, 13205, 304, 58849, 320, 2366, 15, 8, 323, 47142, 5670, 16730, 320, 2366, 16, 570, 11930, 31406, 527, 1457, 1511, 304, 27188, 323, 4987, 11904, 8853, 627, 791, 7640, 617, 2225, 26403, 323, 64793, 10395, 279, 1648, 10977, 6227, 872, 1866, 2254, 3925, 323, 1202, 2035, 304, 279, 5629, 4435, 5111, 13, 98600, 69153, 323, 22755, 1766, 555, 2418, 89, 323, 586, 8717, 527, 1457, 389, 3113, 304, 51677, 11, 3871, 449, 2254, 323, 3728, 66251, 8082, 13, 30802, 323, 6875, 15661, 617, 1027, 23606, 291, 323, 312, 8629, 4147, 11, 323, 279, 6732, 315, 4846, 29135, 617, 1027, 11054, 323, 7263, 1139, 586, 25917, 627, 14336, 74742, 279, 19940, 529, 57327, 1380, 42240, 12912, 315, 1323, 72669, 13, 1115, 1376, 315, 39017, 8082, 374, 2204, 505, 482, 323, 9200, 315, 482, 40343, 2486, 8362, 660, 39017, 8082, 12912, 1778, 439, 279, 220, 679, 19, 2477, 3368, 14028, 304, 279, 22703, 315, 7295, 13, 3451, 74742, 279, 19940, 529, 27983, 48451, 323, 8830, 369, 1884, 30028, 40804, 889, 1766, 320, 438, 1505, 8, 5694, 304, 9354, 18455, 2391, 26885, 13, 362, 14595, 25923, 4068, 1306, 264, 4007, 5820, 574, 25, 3451, 34124, 574, 264, 6691, 753, 4538, 15851, 24535, 26080, 15613, 9932, 430, 814, 527, 1457, 810, 8010, 430, 279, 3062, 3925, 520, 872, 76977, 3966, 311, 387, 34683, 13, 578, 32545, 4008, 5382, 7138, 315, 279, 2447, 3782, 1555, 2391, 279, 2466, 8736, 1567, 315, 279, 4514, 479, 8483, 14821, 304, 12897, 875, 13, 763, 813, 8736, 8982, 11, 279, 6063, 3331, 7440, 360, 311, 19627, 32647, 304, 813, 8982, 430, 279, 12541, 690, 3451, 64119, 17210, 311, 459, 1524, 2731, 8830, 4315, 279, 4689, 586, 315, 8681, 13527, 323, 10057, 14639, 198, 3947, 374, 459, 54917, 369, 420, 3446, 311, 387, 3309, 439, 3432, 11, 264, 9478, 3010, 11, 1690, 29536, 889, 617, 539, 1027, 26267, 6818, 369, 264, 9977, 3217, 4528, 16066, 25, 304, 29135, 369, 549, 1108, 324, 62056, 82, 304, 5734, 11, 304, 34267, 29135, 4028, 4606, 11, 304, 4673, 519, 11644, 21781, 9332, 1389, 477, 439, 22862, 78277, 6953, 403, 5633, 505, 13527, 13, 8483, 287, 279, 5629, 4435, 5111, 6276, 603, 311, 19874, 279, 20282, 315, 420, 4947, 323, 1202, 33318, 1317, 9860, 6372, 389, 40804, 11, 2254, 10977, 323, 7931, 389, 264, 3728, 5569, 627, 1688, 66774, 11, 584, 9395, 311, 1304, 2771 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 682, 315, 1057, 12074, 649, 990, 304, 459, 4676, 1405, 814, 527, 7373, 7396, 627, 1687, 22519, 13520, 389, 23391, 682, 315, 1057, 3495, 7224, 49553, 311, 279, 8592, 31308, 10886, 128001, 128000, 33, 1623, 1937, 18923, 23892, 435, 94880, 67092, 198, 50, 28397, 22925, 6438, 0, 18715, 2663, 18288, 24409, 11, 420, 35509, 23153, 374, 3604, 459, 39999, 627, 47041, 6438, 11, 1455, 17037, 2663, 21411, 24409, 11, 374, 264, 64677, 315, 922, 220, 1041, 311, 220, 4364, 9606, 315, 82339, 11012, 304, 279, 35037, 3070, 11, 68598, 114785, 13, 18288, 299, 5469, 527, 74718, 39999, 11012, 323, 3139, 308, 8046, 304, 550, 1334, 552, 323, 757, 21738, 627, 16179, 814, 617, 17037, 1027, 5938, 449, 14718, 58742, 11, 430, 374, 3604, 539, 279, 1162, 2345, 4193, 86427, 323, 79784, 505, 1023, 11012, 374, 3629, 279, 75283, 13, 10541, 433, 374, 459, 19411, 6136, 369, 81776, 323, 1023, 7230, 258, 3046, 11, 433, 374, 3629, 539, 15042, 304, 36536, 13, 1115, 374, 1606, 433, 1054, 2203, 31458, 863, 1093, 14599, 323, 649, 6847, 1935, 927, 264, 13863, 627, 78013, 1511, 304, 279, 15128, 323, 60902, 4038, 11, 22925, 6438, 19837, 923, 264, 6366, 5916, 311, 904, 92713, 11, 15851, 315, 279, 3280, 13, 11699, 1172, 589, 727, 10651, 323, 14071, 40140, 923, 264, 40798, 47811, 311, 23153, 28904, 11, 323, 11621, 264, 5916, 315, 58372, 32353, 627, 67081, 3083, 3247, 64182, 198, 27611, 2006, 3247, 51991, 128001, 128000, 8075, 551, 220, 13384, 12, 25358, 12, 19272, 23, 482, 8463, 551, 2613, 36587, 916, 330, 4006, 3083, 46013, 9913, 77864, 16202, 79799, 2006, 3247, 7427, 1, 3648, 12557, 33759, 198, 32, 1817, 32530, 374, 264, 3756, 430, 29790, 279, 6530, 315, 56406, 320, 41093, 3447, 323, 45612, 8, 304, 832, 5216, 1193, 11, 29739, 287, 279, 6530, 315, 67849, 4951, 2315, 311, 10134, 13, 4343, 64100, 527, 17037, 14183, 311, 439, 1403, 12, 2700, 64100, 11, 73967, 814, 617, 1403, 49649, 13, 3861, 8736, 374, 369, 279, 6962, 311, 3810, 11, 323, 279, 1023, 832, 374, 369, 279, 6962, 311, 11776, 627, 32, 1817, 32530, 11, 1101, 2663, 264, 2536, 81123, 32530, 11, 14117, 389, 279, 41264, 7410, 369, 1202, 5784, 13, 35321, 7410, 374, 4460, 389, 279, 80207, 3185, 315, 279, 32530, 439, 7863, 311, 279, 27487, 3185, 311, 1825, 279, 32530, 13, 578, 32530, 690, 3345, 422, 279, 2612, 3185, 7410, 374, 810, 1109, 279, 1988, 3185, 7410, 627, 4451, 220, 16, 12, 24, 315, 220, 6365, 128001, 128000, 3648, 12074, 617, 6051, 22712, 45774, 426, 717, 449, 4785, 4814, 323, 4907, 8833, 11967, 13, 7648, 315, 279, 16410, 323, 26677, 1705, 617, 2103, 93762, 433, 13, 1666, 45774, 426, 717, 11335, 459, 3062, 3560, 304, 2547, 753, 7718, 5865, 2737, 279, 18488, 315, 2579, 6680, 7917, 323, 15922, 39975, 13, 1102, 8779, 279, 2547, 5625, 8834, 323, 13128, 1139, 4907, 323, 31085, 315, 62345, 13, 5751, 6680, 7410, 649, 387, 9193, 3428, 422, 584, 617, 45774, 426, 717, 48294, 13, 1115, 6118, 8741, 994, 584, 617, 15792, 6680, 13, 2314, 65023, 1870, 45774, 426, 717, 374, 539, 2133, 311, 6068, 279, 15395, 437, 584, 617, 11, 433, 1193, 8779, 279, 1648, 1057, 2547, 91111, 3738, 37493, 13, 12361, 315, 13353, 1521, 37493, 1139, 8834, 45774, 426, 717, 8779, 1124, 13353, 1139, 4907, 369, 279, 2547, 311, 29166, 5221, 2423, 46192, 649, 387, 4529, 304, 264, 1396, 315, 5627, 11, 584, 649, 1935, 1124, 439, 264, 15530, 11, 25024, 433, 439, 45322, 477, 15921, 1124, 1139, 279, 6705, 85124, 627, 9241, 656, 584, 636, 45774, 426, 717, 5380, 791, 1888, 2592, 315, 45774, 426, 717, 374, 505, 279, 3691, 584, 1935, 627, 2181, 374, 18182, 3118, 304, 10065, 13128, 3196, 3691, 1093, 512, 12, 45965, 323, 393, 55119, 198, 12, 44925, 323, 1023, 79122, 3956, 198, 43712, 456, 8997, 2592, 315, 28170, 426, 717, 374, 512, 12, 18878, 37842, 32269, 561, 198, 12, 35211, 50298, 14403, 198, 12, 11246, 1908, 28091, 1147, 198, 791, 5326, 6532, 369, 45774, 426, 717, 3979, 10603, 512, 12834, 1455, 315, 279, 45774, 426, 717, 374, 28532, 505, 10065, 6108, 8336, 11, 48294, 374, 4279, 4315, 13294, 30627, 13, 1442, 584, 656, 539, 25024, 13339, 304, 1057, 10173, 1243, 33690, 527, 11349, 627, 11663, 6532, 304, 369, 45774, 426, 717, 48294, 512, 12, 9029, 889, 527, 23495, 6928, 198, 12, 39669, 398, 1274, 198, 12, 9029, 617, 8208, 1555, 80311, 15173, 198, 12, 9029, 3515, 60071, 24673, 5423, 25611, 25105, 477, 272, 95705, 8624, 627, 36, 77969, 398, 1274, 477, 1884, 2133, 1555, 63900, 15173, 8965, 617, 264, 4827, 2237, 315, 13935, 304, 872, 23152, 13, 1115, 649, 1121, 304, 11293, 44225, 315, 426, 717, 505, 10065, 3691, 13, 4314, 4595, 315, 1274, 617, 264, 2731, 3072, 315, 23730, 315, 22822, 477, 95536, 3691, 13, 9029, 4737, 20335, 5623, 6344, 309, 16751, 258, 527, 520, 5190, 5326, 315, 45774, 426, 717, 48294, 627, 29755, 810, 426, 717, 1139, 279, 10173, 198, 3947, 527, 12387, 5627, 369, 1274, 13176, 48294, 311, 923, 45774, 426, 717, 1139, 872, 10173, 13, 9086, 1023, 46192, 323, 34072, 11, 28170, 426, 717, 26153, 527, 2561, 520, 279, 77605, 323, 77599, 13, 426, 717, 374, 1101, 3118, 304, 426, 6485, 22822, 902, 33511, 682, 279, 46192, 426, 304, 264, 3254, 19660, 13, 1226, 649, 1101, 1935, 264, 5190, 19660, 315, 426, 717, 1555, 26127, 902, 374, 264, 4279, 1648, 315, 20252, 8834, 13, 88599, 8965, 4284, 65246, 5190, 1109, 4725, 19660, 315, 426, 717, 1274, 29704, 449, 28443, 278, 677, 52279, 459, 22689, 477, 1023, 2890, 3575, 5938, 449, 45774, 426, 717, 48294, 13, 763, 25593, 1288, 387, 32031, 555, 279, 10896, 627, 34, 486, 1147, 323, 44291, 527, 279, 3691, 1405, 18182, 426, 717, 374, 539, 3118, 719, 584, 649, 5376, 1057, 3691, 907, 449, 426, 717, 13, 1226, 1817, 279, 43226, 2038, 389, 279, 3691, 2440, 422, 433, 706, 1027, 95536, 13, 578, 5165, 10181, 315, 6401, 320, 15259, 39, 8, 40912, 220, 17, 13, 19, 8162, 51870, 315, 426, 717, 23730, 824, 1938, 369, 2225, 3026, 323, 3278, 13, 763, 1162, 315, 20209, 477, 6691, 5268, 65864, 369, 264, 1716, 279, 11349, 19660, 1288, 387, 7319, 13, 763, 18878, 13283, 17244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40143, 12, 16923, 4814, 17250, 374, 9057, 555, 264, 1396, 315, 2204, 4787, 13, 3861, 315, 279, 1455, 4279, 323, 37554, 311, 5406, 304, 603, 374, 279, 28170, 48294, 627, 791, 2547, 14117, 389, 264, 8205, 315, 46192, 311, 10519, 1695, 2890, 323, 426, 717, 374, 279, 1455, 3062, 369, 4785, 2585, 13, 45774, 426, 717, 374, 10815, 311, 4785, 4814, 323, 4907, 47594, 13, 45774, 426, 717, 11335, 459, 3062, 3560, 304, 2547, 7718, 5865, 323, 11, 2737, 15922, 39975, 13, 1102, 8779, 279, 2547, 5625, 8834, 323, 13128, 1139, 4907, 13, 3344, 2740, 22690, 555, 82881, 22812, 4306, 648, 13127, 679, 22, 4390, 2059, 291, 7113, 13937, 8834, 555, 91747, 264, 15530, 374, 539, 264, 29827, 8063, 13, 2684, 527, 3230, 33690, 430, 18791, 279, 5419, 3480, 902, 17738, 7917, 6957, 279, 2547, 311, 8395, 810, 25247, 13, 4314, 8834, 50684, 33690, 1520, 311, 6068, 279, 13937, 16701, 323, 2567, 1124, 3201, 369, 1695, 13, 4314, 33690, 690, 1120, 539, 1193, 1520, 304, 4785, 4814, 719, 1101, 3041, 279, 2547, 23669, 39097, 627, 72204, 315, 279, 3956, 3118, 304, 279, 3157, 527, 512, 38, 8362, 91550, 34896, 540, 689, 374, 264, 2678, 6307, 14098, 27367, 1093, 264, 50625, 13, 578, 28049, 315, 420, 14098, 5727, 40602, 87, 3418, 275, 2265, 13935, 13, 1115, 374, 459, 4642, 25795, 304, 420, 14098, 902, 374, 61149, 439, 264, 10173, 15530, 13, 1102, 20747, 1220, 279, 8834, 17843, 56067, 304, 279, 2547, 323, 12992, 279, 2237, 315, 77130, 13, 1102, 8779, 311, 8108, 89928, 13, 362, 220, 679, 16, 3477, 430, 7111, 520, 220, 717, 7978, 389, 30414, 91550, 62138, 1766, 430, 389, 5578, 433, 11384, 4785, 4814, 315, 922, 220, 17, 16701, 1306, 264, 5743, 315, 5672, 627, 71088, 505, 26587, 5674, 11, 433, 11384, 36709, 323, 8271, 31349, 11, 459, 5376, 304, 34168, 9439, 82, 11, 43154, 40368, 13, 1102, 11384, 279, 60071, 4360, 1093, 61880, 11, 12544, 12459, 11, 323, 69393, 627, 10493, 1027, 2212, 369, 810, 1109, 264, 13515, 323, 374, 832, 315, 279, 1455, 5526, 33690, 304, 279, 1917, 13, 2684, 527, 3892, 2204, 4595, 315, 16088, 3118, 719, 279, 1455, 3062, 374, 5042, 555, 279, 836, 1054, 31916, 11513, 87, 3418, 332, 2029, 2181, 5727, 49750, 323, 264, 2478, 6136, 8819, 13, 3861, 4007, 5039, 433, 8779, 311, 9229, 4785, 2212, 220, 24, 13, 20, 74, 5981, 927, 264, 2380, 4038, 4261, 627, 2746, 904, 832, 315, 603, 374, 264, 49750, 57767, 1109, 568, 477, 1364, 1253, 2733, 18547, 11, 61880, 11, 69393, 11, 85492, 1918, 11, 18659, 1105, 11, 323, 30118, 2968, 627, 2181, 374, 279, 1455, 22815, 25024, 42111, 3104, 20278, 304, 279, 1917, 627, 34, 38880, 483, 374, 264, 12936, 69733, 430, 6866, 18182, 304, 1690, 15657, 13, 1102, 374, 1766, 18182, 304, 11033, 11, 6307, 15600, 323, 304, 6453, 100049, 323, 3779, 311, 1690, 15590, 3691, 323, 47497, 13, 356, 38880, 483, 374, 264, 1664, 12, 3967, 39097, 57532, 323, 374, 3629, 3779, 311, 8518, 4785, 4814, 33690, 13, 362, 2875, 9860, 4007, 5039, 430, 49750, 649, 7916, 709, 39097, 709, 311, 220, 18, 12, 806, 4, 323, 5376, 8834, 20252, 555, 709, 311, 220, 1682, 13689, 11384, 25702, 734, 323, 5225, 2136, 13, 4427, 4007, 5039, 430, 49750, 649, 5353, 27946, 4785, 4814, 304, 12966, 627, 644, 1063, 1274, 11, 1579, 3392, 315, 49750, 649, 617, 264, 8389, 2515, 389, 20209, 11, 48111, 11, 34323, 2585, 323, 1023, 13878, 315, 2890, 13, 1102, 11384, 18547, 11, 83511, 11, 85492, 1918, 11, 30118, 2968, 11, 61880, 11, 69393, 323, 1023, 13803, 13, 356, 38880, 483, 374, 1101, 57407, 323, 649, 8108, 279, 4367, 315, 1057, 6212, 13, 12369, 323, 51766, 29193, 40912, 264, 220, 3443, 14060, 315, 49750, 264, 1938, 477, 1403, 477, 2380, 26446, 315, 11033, 627, 3957, 264, 35410, 5623, 6216, 555, 279, 836, 315, 3451, 2460, 72, 20182, 323, 1234, 22866, 439, 49329, 950, 13, 1102, 4375, 555, 20747, 5977, 279, 31085, 315, 8834, 304, 279, 18340, 3339, 603, 1701, 17162, 25247, 505, 8834, 13, 10771, 311, 2466, 3477, 11, 220, 806, 7978, 2052, 72, 649, 8108, 279, 4785, 4814, 315, 220, 17, 13, 22, 735, 5981, 304, 12593, 311, 264, 4725, 15530, 2561, 304, 279, 3157, 13, 1102, 706, 1027, 14000, 430, 2582, 1638, 266, 649, 8108, 6680, 7410, 10284, 323, 8108, 279, 5326, 315, 11469, 4078, 12, 17, 20335, 555, 220, 1806, 126437, 2028, 5623, 1253, 5353, 60071, 3185, 2515, 2737, 13490, 78571, 90872, 11, 10269, 59566, 11, 21420, 66358, 19567, 430, 527, 2653, 311, 2585, 11, 323, 3885, 13, 1115, 22822, 1253, 1101, 17210, 311, 264, 48294, 315, 8834, 1355, 337, 41572, 46192, 11, 1093, 28170, 362, 11, 423, 11, 469, 323, 735, 13, 1102, 374, 6118, 11349, 311, 1833, 264, 3428, 64354, 10173, 1418, 4737, 2582, 1638, 266, 11, 304, 2015, 311, 30437, 3185, 75888, 28628, 374, 1633, 7185, 311, 1440, 430, 3428, 35872, 10173, 374, 6982, 439, 7524, 439, 507, 1638, 266, 323, 3428, 64354, 10173, 11093, 3871, 627, 2028, 20278, 1766, 304, 48665, 323, 374, 8647, 369, 1202, 35947, 22843, 13, 362, 28367, 2373, 315, 48665, 32381, 3233, 374, 6216, 439, 4785, 4814, 22822, 627, 4599, 459, 9526, 374, 13375, 389, 32510, 11, 389, 872, 25181, 8834, 7917, 279, 48665, 32381, 3233, 1464, 1523, 279, 8834, 323, 19159, 279, 2237, 315, 279, 36908, 2663, 30366, 263, 440, 258, 6646, 311, 387, 5552, 311, 4785, 4814, 13, 2684, 374, 539, 264, 3254, 4007, 2884, 389, 12966, 719, 389, 32510, 11, 11191, 35130, 8710, 430, 433, 26338, 4785, 8895, 627, 3947, 527, 50750, 2426, 6821, 315, 622, 3328, 1918, 11, 12992, 6680, 7410, 323, 11295, 4851, 1395, 1900, 13, 2435, 1253, 5353, 279, 7951, 1725, 311, 22843, 1093, 432, 13671, 36989, 627, 2181, 374, 264, 11033, 21059, 2085, 938, 15067, 13, 2435, 6782, 1403, 4595, 315, 20278, 6646, 311, 387, 11190, 304, 4785, 4814, 49750, 323, 37833, 29569, 13935, 13, 356, 38880, 483, 8779, 304, 8834, 20252, 323, 92479, 29569, 13935, 70270, 1523, 279, 15061, 315, 67732, 304, 279, 18340, 13, 14853, 7978, 1501, 430, 433, 26338, 279, 4785, 439, 709, 311, 220, 17, 13, 20, 597, 5981, 439, 7863, 311, 1023, 4725, 26153, 2561, 304, 279, 3157, 13, 7997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11033, 21059, 26153, 1520, 304, 46301, 6680, 13465, 11, 26338, 6680, 7410, 13, 1102, 374, 459, 7524, 70339, 439, 1664, 627, 2181, 11384, 279, 1890, 3185, 2515, 439, 49750, 323, 264, 37833, 29569, 13935, 304, 433, 11384, 69393, 323, 1063, 1274, 1253, 387, 57596, 311, 6307, 11033, 27994, 627, 2181, 374, 264, 955, 315, 24722, 1093, 20278, 1766, 304, 279, 20282, 315, 46840, 379, 309, 11, 1101, 2663, 24277, 87231, 13, 3277, 27073, 433, 91111, 279, 3090, 323, 5625, 5196, 1139, 264, 18316, 12970, 13, 1102, 93018, 304, 1057, 65973, 323, 22014, 279, 8430, 315, 2539, 2136, 477, 8987, 23152, 8617, 3339, 603, 8343, 2753, 3691, 320, 5531, 2490, 570, 14853, 7978, 1501, 430, 994, 8444, 84, 884, 1036, 276, 27073, 449, 9498, 3691, 1520, 1274, 8108, 220, 23, 12, 605, 16701, 315, 4785, 304, 1120, 220, 20, 5672, 13, 8444, 84, 884, 1036, 276, 374, 264, 24722, 12970, 20278, 430, 649, 5510, 11919, 24032, 304, 279, 92234, 13, 1102, 26338, 6680, 39086, 11, 6680, 13465, 11, 323, 54033, 68590, 3422, 323, 374, 1633, 7524, 304, 738, 49686, 627, 2181, 649, 5353, 14545, 1113, 11, 10269, 59566, 323, 8579, 90872, 323, 1253, 5353, 32317, 422, 4529, 449, 279, 21308, 31010, 520, 279, 1890, 892, 13, 1102, 374, 26160, 311, 1935, 8444, 84, 884, 1036, 276, 4376, 459, 6596, 1603, 279, 15496, 449, 264, 9168, 315, 3090, 627, 941, 315, 19087, 430, 374, 26242, 19087, 5727, 279, 24549, 6925, 752, 4171, 483, 13, 24028, 752, 4171, 483, 374, 5552, 311, 384, 764, 291, 40101, 902, 374, 10171, 311, 387, 264, 5526, 25795, 304, 4785, 4814, 15530, 55986, 13, 4452, 11, 384, 764, 291, 40101, 374, 21501, 439, 264, 4785, 4814, 25795, 555, 320, 82169, 8, 12369, 323, 26166, 29193, 439, 433, 706, 264, 6129, 3185, 2515, 13, 24028, 752, 4171, 483, 13551, 264, 4528, 17383, 449, 384, 764, 291, 40101, 719, 2753, 36875, 662, 275, 649, 8108, 38575, 323, 18885, 8834, 20252, 17383, 13, 15668, 2478, 7978, 527, 2884, 389, 24028, 752, 4171, 483, 719, 384, 764, 291, 40101, 706, 6982, 264, 5199, 2875, 9860, 4785, 12, 4814, 627, 14809, 892, 311, 1935, 426, 717, 198, 1687, 1288, 539, 1935, 28170, 426, 717, 1633, 3345, 311, 89607, 439, 433, 1253, 5353, 83511, 323, 41959, 13, 1666, 83511, 649, 2349, 1057, 296, 9242, 11, 584, 1541, 1431, 1205, 311, 1935, 433, 449, 3691, 439, 1690, 4510, 430, 4737, 426, 717, 449, 3691, 706, 264, 810, 6928, 2515, 13, 1666, 1070, 527, 1690, 32031, 4785, 4814, 26153, 430, 617, 1027, 1633, 7524, 13, 578, 1455, 4279, 527, 35341, 525, 11, 7984, 10176, 80, 11, 2405, 1992, 6095, 11, 323, 1229, 24738, 689, 13, 10771, 311, 220, 679, 19, 3477, 4007, 1524, 439, 32031, 4785, 4814, 26153, 1541, 1431, 990, 439, 584, 3987, 13, 1952, 459, 5578, 11, 814, 1253, 1520, 603, 311, 9229, 220, 18, 12, 24, 4, 315, 1057, 2547, 4785, 7863, 311, 1023, 26153, 323, 1524, 994, 814, 527, 35271, 449, 71729, 4814, 10173, 13, 2435, 527, 55288, 389, 872, 1866, 323, 539, 264, 6425, 311, 33048, 627, 2170, 912, 11204, 4785, 4814, 27208, 374, 12090, 555, 16410, 477, 26677, 380, 13, 13266, 3411, 369, 264, 39345, 19433, 477, 6068, 1063, 4785, 649, 1935, 264, 22822, 430, 8349, 311, 1520, 9229, 4785, 2085, 279, 19433, 2349, 11, 28987, 1057, 10173, 477, 10368, 14348, 5168, 76652, 426, 717, 374, 6646, 311, 387, 279, 1455, 20733, 28170, 315, 1124, 682, 323, 5127, 2011, 617, 3403, 315, 433, 311, 387, 9498, 13, 1115, 832, 28170, 13912, 1057, 23418, 1887, 11, 6680, 323, 4851, 2890, 28628, 40373, 1057, 8271, 11, 39097, 323, 1524, 22223, 1057, 74502, 627, 1687, 2011, 387, 8010, 430, 433, 11384, 264, 955, 315, 459, 22689, 430, 11384, 3428, 36709, 323, 8244, 3428, 4907, 13, 1666, 433, 374, 1766, 304, 10065, 6108, 3691, 719, 4737, 2288, 1790, 315, 10065, 13128, 649, 5353, 264, 5199, 47288, 2890, 3575, 627, 1687, 527, 1633, 18069, 439, 1070, 374, 912, 5068, 5326, 315, 5190, 23730, 315, 45774, 426, 717, 779, 1274, 889, 617, 6818, 65246, 311, 9229, 4785, 1205, 539, 11196, 719, 584, 1205, 311, 1505, 2500, 4320, 369, 1317, 9860, 2890, 13, 4452, 11, 433, 374, 1057, 25329, 323, 539, 279, 44701, 430, 426, 717, 8779, 603, 311, 9229, 4785, 627, 2170, 2547, 14117, 389, 264, 8205, 315, 46192, 311, 10519, 1695, 2890, 323, 426, 717, 374, 279, 1455, 3062, 369, 4785, 2585, 13, 45774, 426, 717, 374, 5938, 449, 4785, 4814, 323, 4907, 56028, 13, 45774, 426, 717, 11335, 459, 3062, 3560, 304, 2547, 7718, 5865, 323, 11, 2737, 15922, 39975, 13, 45774, 426, 717, 1101, 8779, 279, 2547, 5625, 8834, 323, 13128, 1139, 4907, 13, 128001, 128000, 39782, 5127, 374, 8010, 315, 828, 19169, 323, 52694, 430, 814, 527, 3062, 304, 279, 6617, 11, 8599, 1917, 304, 902, 584, 3974, 13, 4452, 11, 279, 13112, 311, 902, 584, 17631, 389, 1521, 2038, 50757, 690, 4762, 13051, 279, 8857, 315, 279, 4848, 7239, 7931, 430, 18738, 7626, 26049, 56978, 690, 387, 8599, 555, 220, 2366, 20, 13, 26049, 753, 1934, 320, 14336, 1061, 13381, 220, 2366, 20, 96206, 5900, 389, 311, 18057, 430, 1855, 315, 1521, 7931, 690, 16681, 449, 264, 828, 4219, 4661, 220, 20, 11, 931, 3115, 1855, 323, 1475, 1938, 1555, 2162, 11, 5274, 323, 9624, 6108, 7766, 1389, 4661, 2380, 3115, 279, 1510, 7446, 4478, 13, 1115, 24716, 10648, 11, 3235, 449, 279, 33151, 315, 27167, 50180, 7954, 430, 7068, 828, 15320, 3152, 430, 11, 555, 220, 2366, 20, 11, 8396, 374, 19698, 311, 7068, 220, 10005, 57, 33, 315, 828, 1855, 1060, 1389, 323, 279, 6650, 4478, 374, 69741, 627, 1163, 43470, 369, 828, 19169, 198, 4054, 315, 279, 12474, 11774, 369, 828, 19169, 374, 5042, 63082, 449, 279, 18823, 6260, 3392, 315, 828, 323, 279, 15098, 21420, 1217, 78748, 311, 430, 828, 13, 28479, 3634, 374, 2744, 520, 264, 15193, 323, 304, 1690, 5157, 19546, 279, 5995, 20314, 2410, 649, 387, 264, 8815, 13, 763, 2144, 11, 1690, 828, 19169, 527, 274, 1639, 389, 48832, 8987, 5064, 6732, 11, 5042, 311, 24683, 279, 15525, 20160, 18200, 8312, 17517, 627, 59247, 45426, 320, 454, 327, 8, 374, 8965, 5199, 369, 1455, 828, 19169, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 311, 7293, 15022, 11, 814, 617, 311, 5376, 5942, 17915, 323, 8108, 4401, 7194, 13, 7089, 1109, 279, 2410, 4460, 369, 279, 16692, 323, 1023, 7241, 11, 3805, 35121, 320, 1741, 8, 369, 28015, 374, 264, 5199, 1200, 327, 323, 459, 3158, 1405, 828, 4219, 20197, 5357, 2853, 14324, 9045, 13, 3861, 5603, 311, 420, 18065, 10923, 7241, 311, 1629, 520, 459, 32389, 9499, 11, 28592, 18189, 279, 10807, 16686, 11, 14324, 3634, 323, 4907, 13, 763, 2015, 311, 11322, 420, 11, 279, 7241, 10487, 304, 279, 828, 4219, 706, 311, 387, 13171, 315, 10565, 449, 1317, 9860, 31638, 520, 1521, 32389, 20472, 627, 3947, 649, 387, 912, 3488, 430, 279, 31638, 315, 828, 19169, 374, 315, 10461, 12939, 11, 2225, 304, 3878, 315, 828, 17025, 439, 1664, 439, 20958, 87789, 220, 1187, 4207, 824, 1938, 11, 1475, 1938, 315, 279, 1060, 11, 369, 828, 2680, 13, 4452, 11, 1070, 527, 1690, 4754, 26350, 430, 649, 53132, 553, 420, 2737, 7241, 8060, 11, 2410, 8060, 11, 80753, 323, 3823, 1493, 627, 1688, 279, 4851, 315, 80600, 2403, 2410, 8060, 374, 279, 58146, 1887, 430, 374, 13171, 315, 91000, 279, 828, 4219, 369, 264, 2875, 892, 304, 459, 13147, 13, 578, 11863, 8824, 374, 30387, 311, 6106, 220, 1041, 4, 87789, 11, 7438, 430, 433, 3966, 311, 14497, 279, 13225, 3156, 44163, 527, 7263, 709, 311, 4732, 323, 21577, 649, 387, 23217, 311, 279, 47104, 295, 3156, 5950, 2410, 374, 28101, 13, 763, 279, 3347, 11, 420, 3451, 2784, 17404, 4261, 529, 1053, 617, 8965, 1027, 2212, 220, 605, 1389, 220, 868, 4520, 8051, 11, 439, 44163, 527, 15098, 28598, 477, 3025, 311, 387, 39529, 24026, 304, 1234, 264, 9568, 11, 279, 14595, 51360, 4261, 649, 387, 2753, 1109, 220, 20, 4520, 13, 1115, 892, 14278, 3445, 430, 17162, 27360, 527, 2631, 11, 28592, 67817, 709, 3634, 430, 649, 387, 1511, 311, 5376, 3622, 323, 5942, 8824, 627, 54963, 13935, 323, 30170, 2989, 27360, 198, 791, 3063, 38698, 307, 30903, 706, 1027, 264, 16188, 80576, 36708, 315, 4907, 5942, 369, 1690, 11026, 11, 323, 927, 892, 1070, 617, 1027, 59629, 1903, 311, 420, 5557, 13, 46560, 49886, 3063, 38698, 307, 27360, 11, 1405, 13937, 14812, 73396, 668, 374, 3118, 11, 7068, 24463, 520, 872, 6928, 80390, 323, 35784, 39022, 520, 872, 8389, 80390, 11, 28592, 14718, 3090, 4814, 927, 892, 13, 53123, 11, 279, 73396, 668, 2011, 387, 40901, 709, 449, 5369, 315, 3090, 389, 264, 5912, 8197, 13, 1102, 1101, 3445, 430, 12309, 1579, 5990, 315, 6962, 527, 8066, 11, 902, 1397, 56234, 627, 2257, 588, 35319, 3063, 38698, 307, 320, 53, 4833, 32, 8, 27360, 6137, 311, 52790, 15686, 279, 6931, 3063, 38698, 307, 4595, 13, 5810, 11, 279, 73396, 668, 374, 77441, 1534, 449, 3060, 264, 18316, 477, 459, 35406, 306, 9168, 5634, 320, 1929, 44, 8, 430, 12207, 26338, 73396, 668, 4814, 2391, 5784, 323, 29260, 279, 1205, 369, 61376, 709, 13, 650, 4833, 32, 5557, 1101, 19159, 1790, 2753, 6962, 2391, 5784, 11, 29057, 18189, 279, 1205, 323, 5938, 7194, 369, 56234, 627, 1929, 44, 6108, 650, 4833, 32, 27360, 430, 1005, 264, 12314, 6445, 5950, 46964, 315, 3063, 35719, 611, 3063, 35719, 25826, 617, 1027, 279, 1455, 17037, 1511, 27360, 304, 828, 4219, 58146, 45218, 369, 3892, 1667, 13, 4452, 11, 6051, 264, 502, 955, 315, 15432, 44, 650, 4833, 32, 11863, 430, 51242, 15792, 12235, 10748, 3063, 320, 4334, 2989, 8, 706, 7882, 3063, 38698, 307, 5557, 12207, 4726, 4741, 627, 644, 30170, 2989, 3196, 15432, 44, 650, 4833, 32, 27360, 11, 65355, 57449, 315, 1633, 1579, 53500, 527, 1511, 311, 1304, 279, 25485, 11, 13239, 304, 459, 5376, 304, 279, 7479, 3158, 902, 36050, 279, 3729, 1990, 279, 5950, 323, 279, 4642, 3769, 13, 1666, 1521, 25485, 527, 49188, 65355, 11, 810, 315, 1124, 649, 387, 42415, 4871, 279, 11863, 11, 28592, 7859, 279, 4907, 17915, 315, 30170, 2989, 27360, 13, 763, 2543, 11, 420, 3445, 430, 30170, 2989, 27360, 649, 37586, 449, 8294, 16557, 60701, 439, 1664, 439, 1694, 3025, 311, 320, 265, 8, 14215, 810, 6288, 627, 85423, 315, 30170, 2989, 5557, 304, 828, 4219, 8522, 198, 4334, 2989, 27360, 617, 7191, 58219, 1109, 5410, 15432, 44, 650, 4833, 32, 27360, 323, 527, 3025, 311, 3493, 264, 2532, 2324, 315, 2212, 220, 23, 12, 605, 1667, 11, 459, 5376, 315, 13489, 220, 914, 14697, 2435, 1101, 48678, 2212, 220, 508, 4, 2753, 3634, 902, 72555, 709, 3634, 369, 13254, 24038, 16692, 13, 578, 9333, 1404, 315, 30170, 2989, 27360, 374, 7701, 18641, 449, 279, 6617, 9327, 315, 44993, 4954, 828, 4219, 45218, 627, 4334, 2989, 27360, 527, 1101, 2753, 11754, 555, 279, 5190, 10565, 20472, 5938, 449, 11293, 10807, 11, 8051, 279, 22702, 439, 311, 1148, 10565, 9499, 11105, 279, 12474, 8244, 14278, 304, 2860, 2853, 315, 15637, 5764, 3892, 9547, 323, 690, 9093, 6904, 389, 3927, 828, 4219, 33483, 627, 791, 5845, 315, 30170, 2989, 27360, 311, 47923, 810, 6288, 1109, 1023, 4595, 3445, 430, 814, 527, 2731, 3025, 311, 3568, 449, 5361, 704, 1154, 2391, 264, 2875, 4261, 315, 892, 13, 23212, 11, 279, 3428, 38088, 659, 10694, 14215, 3445, 430, 11, 3131, 11684, 11, 30170, 2989, 27360, 649, 387, 9967, 369, 709, 311, 1403, 1667, 2085, 23537, 904, 5217, 23468, 627, 2170, 828, 19169, 3136, 311, 5376, 304, 12939, 11, 779, 279, 1205, 369, 58146, 16101, 323, 11084, 11863, 5557, 1101, 12992, 13, 578, 5064, 706, 41013, 389, 5370, 7739, 315, 3063, 38698, 307, 27360, 369, 11026, 11, 42028, 1139, 279, 5652, 9659, 30170, 2989, 6108, 955, 13, 4314, 3085, 264, 1396, 315, 22934, 2737, 4827, 13709, 11, 5190, 10565, 9499, 11, 10819, 47923, 11, 7191, 6900, 38231, 323, 7319, 2410, 17915, 11, 682, 315, 902, 18885, 279, 14553, 315, 18052, 323, 1520, 8108, 279, 2860, 2853, 315, 15637, 13, 128001, 128000, 644, 279, 3347, 2478, 1667, 11, 459, 31069, 3392, 315, 2038, 706, 1027, 3549, 13, 10771, 311, 26049, 11, 279, 7528, 15861, 690, 5662, 927, 220, 1272, 1901, 33, 555, 220, 2366, 15, 320, 9210, 753, 13489, 220, 16, 13, 22, 13642, 315, 502, 2038, 3549, 369, 1475, 3823, 11, 1475, 2132, 11, 315, 1475, 1938, 570, 362, 3544, 13651 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 420, 2038, 374, 653, 52243, 323, 304, 1495, 3645, 13, 1115, 706, 3549, 264, 1205, 369, 6067, 430, 649, 1373, 323, 3619, 2038, 304, 264, 1648, 430, 374, 2225, 8915, 323, 69311, 13, 11502, 1495, 11935, 11, 264, 1920, 430, 29575, 653, 52243, 2038, 1139, 34030, 828, 430, 649, 387, 30239, 304, 264, 8776, 1648, 627, 3923, 374, 2991, 26917, 5380, 1199, 11935, 320, 19171, 2663, 1495, 828, 11935, 477, 1495, 28975, 8, 374, 264, 1749, 369, 60508, 5505, 2038, 505, 653, 52243, 828, 1555, 279, 22654, 323, 27501, 315, 3544, 15055, 315, 1495, 13, 2582, 11, 311, 2231, 433, 2500, 1648, 11, 1495, 11935, 374, 264, 1749, 369, 60508, 34030, 2038, 505, 653, 52243, 1495, 627, 1199, 11935, 17208, 12823, 1778, 439, 22824, 2065, 11, 5502, 33289, 11, 27065, 6492, 323, 5933, 4221, 8863, 311, 5276, 1495, 1139, 828, 430, 649, 387, 1511, 369, 4726, 6492, 13, 43608, 311, 264, 43194, 477, 2547, 315, 2038, 11, 1495, 11935, 649, 387, 1511, 311, 1304, 3544, 33776, 315, 653, 52243, 828, 15987, 323, 5505, 555, 60508, 5505, 2038, 323, 6677, 8340, 304, 1495, 2262, 323, 31720, 12912, 11, 18845, 323, 20616, 304, 3544, 15055, 315, 2038, 627, 10445, 374, 1495, 11935, 779, 3062, 5380, 9673, 13878, 1304, 1495, 11935, 264, 2294, 1862, 5507, 369, 11351, 1606, 433, 649, 733, 19662, 1139, 2038, 11, 8830, 323, 25607, 9959, 2626, 20616, 505, 2262, 11, 39686, 13537, 1990, 2038, 2949, 832, 477, 810, 22755, 430, 1053, 6062, 733, 82037, 21468, 1701, 8776, 7526, 477, 2778, 21787, 627, 24105, 8200, 527, 2736, 39661, 389, 2038, 311, 10633, 1455, 315, 872, 2626, 11618, 11, 323, 439, 279, 3392, 315, 2038, 814, 10299, 320, 438, 279, 5217, 2038, 430, 814, 7070, 1093, 311, 2997, 8, 9731, 311, 3139, 323, 21797, 1463, 11, 279, 7410, 311, 1935, 9610, 315, 433, 11, 1524, 69711, 433, 11, 304, 1972, 7394, 374, 7859, 13, 2991, 11935, 7526, 649, 1520, 627, 10267, 753, 1427, 520, 459, 3187, 315, 1268, 1495, 11935, 4375, 13, 2057, 17622, 2038, 304, 264, 14595, 7757, 2778, 15398, 11, 499, 3539, 21513, 311, 1505, 1148, 499, 3207, 3411, 369, 11, 719, 420, 3135, 304, 264, 3544, 3392, 315, 3135, 430, 7784, 1431, 14647, 9959, 311, 701, 3319, 13, 12362, 279, 12823, 7633, 3485, 11, 1495, 11935, 8522, 3604, 1054, 888, 863, 9477, 304, 264, 2547, 315, 2038, 13, 1102, 31869, 279, 2778, 4751, 477, 17571, 520, 264, 44901, 2237, 4856, 1109, 39661, 389, 1120, 21513, 13, 1115, 6276, 3932, 311, 2804, 810, 6485, 20126, 430, 649, 13750, 15806, 477, 49586, 264, 8205, 315, 9477, 323, 8336, 323, 1524, 16805, 13537, 323, 12912, 8340, 304, 2038, 627, 2028, 6276, 12074, 11, 31499, 323, 904, 1217, 311, 3504, 264, 2763, 315, 5015, 2345, 17185, 6677, 23963, 11, 1825, 8336, 11, 5099, 13, 304, 264, 3254, 2778, 627, 14364, 3187, 315, 1495, 11935, 374, 2561, 304, 1057, 5652, 602, 48, 8423, 27393, 83270, 3420, 753, 220, 679, 21, 9540, 5165, 26958, 8982, 449, 33126, 7250, 753, 11650, 5165, 26958, 8982, 505, 220, 1049, 23, 13, 1226, 1511, 1495, 11935, 311, 24564, 279, 61412, 315, 2225, 44440, 311, 4320, 279, 3488, 25, 5659, 264, 65767, 51882, 11, 1550, 814, 13524, 2019, 279, 1890, 3245, 30, 763, 38663, 279, 1925, 13650, 11, 15086, 323, 21958, 13605, 304, 279, 44440, 11, 279, 4320, 374, 912, 13, 320, 4061, 704, 279, 2539, 1934, 1618, 29275, 644, 420, 502, 15398, 11, 1495, 11935, 26420, 279, 1005, 315, 682, 315, 701, 2561, 2038, 9523, 311, 264, 810, 7524, 323, 27331, 6677, 18841, 430, 3727, 499, 3025, 311, 1304, 2731, 16369, 11429, 11, 69711, 2038, 88092, 11618, 11, 9762, 2626, 9200, 26793, 323, 50460, 25605, 15635, 627, 23580, 12722, 11, 1495, 11935, 649, 11886, 1579, 19625, 6677, 18841, 5435, 304, 1690, 2204, 5789, 315, 3851, 11, 2737, 432, 33465, 11, 15022, 11478, 11, 25589, 6492, 323, 3157, 3495, 1701, 27065, 6492, 323, 3674, 3772, 11935, 13, 128001, 128000, 43, 9308, 6261, 374, 832, 315, 279, 1455, 3062, 2574, 499, 649, 656, 369, 701, 10723, 323, 14604, 2890, 13, 5046, 3388, 11, 433, 649, 387, 17436, 11, 5423, 994, 499, 3207, 8430, 1523, 477, 43206, 13, 2030, 433, 753, 7718, 311, 1935, 279, 892, 311, 6725, 659, 27578, 588, 323, 659, 41206, 627, 5451, 11, 433, 753, 3062, 311, 3619, 3249, 659, 27578, 588, 374, 779, 3062, 13, 10323, 27578, 588, 374, 279, 16665, 315, 1057, 10723, 323, 14604, 1664, 33851, 13, 1102, 8779, 603, 311, 2733, 9966, 11, 16913, 11, 323, 2262, 304, 1057, 6439, 13, 17586, 433, 11, 584, 649, 3719, 43206, 555, 8389, 11555, 323, 16024, 11, 6522, 311, 18710, 323, 18547, 627, 12805, 499, 3619, 279, 12939, 315, 659, 27578, 588, 11, 433, 753, 892, 311, 1212, 36666, 433, 13, 5810, 527, 1063, 10631, 311, 1520, 499, 389, 701, 11879, 512, 5451, 11, 1935, 892, 311, 15641, 701, 6928, 29600, 13, 7557, 264, 1160, 315, 682, 279, 2574, 499, 1093, 922, 6261, 323, 682, 279, 2574, 499, 3207, 12691, 315, 13, 1115, 649, 387, 4205, 505, 701, 7106, 11341, 311, 701, 53881, 13, 5031, 485, 6261, 315, 1521, 2574, 994, 499, 3207, 8430, 1523, 627, 16041, 11, 6725, 6928, 659, 93780, 13, 12361, 315, 21760, 389, 701, 41859, 11, 5357, 389, 279, 2574, 499, 1093, 922, 6261, 13, 3277, 8389, 11555, 2586, 709, 11, 1456, 311, 5663, 1124, 449, 6928, 33449, 811, 13, 5031, 485, 6261, 315, 701, 36486, 323, 53881, 627, 2520, 3187, 11, 4619, 315, 7422, 11, 1054, 40, 4344, 539, 1695, 3403, 2476, 1781, 512, 10378, 4344, 3815, 856, 1888, 11, 323, 430, 753, 3403, 49216, 38075, 11, 1935, 892, 311, 656, 2574, 430, 1304, 499, 2733, 1695, 13, 7557, 2771, 311, 1935, 892, 369, 6261, 311, 12234, 323, 82610, 13, 1115, 1436, 387, 4205, 505, 4737, 264, 24529, 9061, 311, 11689, 13, 7531, 7640, 430, 1304, 499, 2733, 31467, 323, 6380, 627, 89703, 11, 63652, 10723, 2890, 13, 7557, 2771, 311, 1935, 2512, 315, 701, 10723, 2890, 555, 3794, 3403, 6212, 11, 12459, 9498, 11, 323, 51582, 15870, 627, 3112, 5616, 11, 990, 389, 4857, 701, 12410, 13, 12040, 2678, 7504, 311, 8815, 6261, 323, 4585, 701, 23546, 13, 1115, 1436, 387, 4205, 505, 4560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 502, 32628, 311, 12365, 709, 304, 264, 6574, 627, 18293, 7504, 311, 1977, 701, 12410, 555, 6376, 2678, 9021, 323, 32689, 701, 48188, 627, 1383, 36666, 659, 27578, 588, 11, 499, 649, 1893, 264, 3831, 16665, 369, 701, 10723, 323, 14604, 1664, 33851, 13, 1102, 753, 3062, 311, 6227, 430, 659, 27578, 588, 374, 264, 11879, 11, 323, 433, 5097, 892, 323, 5149, 311, 67632, 433, 13, 2030, 449, 30401, 323, 39955, 11, 499, 649, 4048, 311, 3021, 6261, 810, 627, 48567, 311, 3021, 13520, 323, 15763, 682, 430, 584, 617, 311, 3041, 311, 279, 1917, 374, 832, 315, 279, 1690, 7504, 311, 659, 3021, 13, 1102, 5097, 892, 11, 39955, 311, 13520, 11, 323, 8333, 311, 3136, 1523, 420, 1853, 315, 3021, 323, 26586, 13, 1102, 753, 3284, 0, 128001, 128000, 14809, 12531, 13805, 1302, 369, 279, 1676, 307, 4410, 17593, 198, 26208, 13805, 1302, 11, 12531, 52645, 198, 7927, 5654, 315, 12309, 1317, 7155, 86082, 11, 1633, 4106, 311, 70351, 9235, 80769, 323, 3428, 32257, 11, 374, 1695, 369, 7982, 1690, 54320, 11, 5423, 1884, 10068, 311, 9235, 92399, 13, 18056, 420, 374, 837, 369, 1455, 315, 420, 3544, 17226, 5654, 11, 701, 3230, 11323, 780, 4787, 1288, 387, 4529, 1139, 2759, 13, 1472, 2011, 5423, 2980, 3682, 9547, 1093, 1579, 1474, 35624, 36958, 11, 3428, 25520, 531, 8798, 323, 23756, 291, 34681, 58309, 22484, 627, 22078, 3375, 18317, 287, 4212, 25, 6250, 220, 966, 339, 482, 6841, 220, 966, 339, 198, 2078, 6486, 11481, 1918, 95686, 25, 220, 20, 11, 220, 21, 11, 220, 22, 198, 12, 18317, 54320, 304, 279, 4498, 11, 6041, 994, 93744, 20472, 4822, 1990, 220, 1272, 12, 1135, 59572, 13, 2030, 11, 387, 2771, 311, 6136, 13489, 4848, 5672, 1603, 279, 5015, 94477, 311, 2187, 14343, 892, 369, 87438, 13, 13805, 1302, 690, 3789, 1888, 304, 7155, 17614, 323, 3131, 41976, 37771, 5933, 4442, 430, 2567, 1124, 505, 43318, 13, 10164, 701, 54320, 1306, 48114, 311, 1520, 1124, 1212, 279, 87438, 1920, 627, 12, 4740, 48114, 11, 3881, 6435, 45824, 330, 16501, 65, 3691, 1, 65391, 389, 279, 1948, 315, 279, 5015, 311, 8312, 37493, 369, 279, 2132, 1060, 596, 52554, 13, 320, 33, 360, 1302, 527, 2736, 7373, 11684, 449, 4907, 369, 16557, 82339, 5178, 304, 872, 1176, 10683, 52554, 3280, 6266, 3234, 539, 2231, 279, 65391, 304, 279, 14512, 449, 279, 46912, 439, 420, 1253, 8395, 279, 46912, 596, 28682, 20282, 627, 12, 5321, 5296, 25, 18766, 17685, 15496, 8965, 706, 2697, 907, 439, 264, 46912, 65391, 323, 3629, 27741, 94209, 323, 12875, 430, 4170, 709, 279, 54320, 3411, 369, 25896, 4999, 12, 4740, 279, 5015, 1080, 3145, 477, 94477, 11, 3504, 701, 46912, 28036, 449, 264, 30244, 15975, 331, 320, 39138, 57267, 11, 22786, 86, 20559, 41298, 82, 11, 31107, 11, 477, 38525, 5352, 11141, 8, 220, 17, 2001, 220, 19, 15271, 12314, 311, 1520, 2567, 1523, 70535, 323, 10519, 264, 21356, 7155, 17614, 9499, 627, 18433, 420, 5654, 71010, 12387, 30278, 315, 14560, 10182, 33373, 11, 584, 4284, 22822, 287, 279, 2038, 1618, 555, 22797, 311, 63790, 57994, 596, 11104, 19558, 6017, 477, 2133, 311, 8604, 33752, 751, 916, 13, 11995, 8336, 2997, 2038, 389, 1063, 5899, 3230, 92399, 2949, 420, 5654, 627, 8142, 1475, 5149, 706, 1027, 1903, 311, 7664, 1521, 11012, 30357, 11, 4587, 2567, 304, 4059, 430, 2673, 11, 52554, 892, 11, 323, 1933, 1253, 1782, 304, 5370, 92399, 13, 578, 4096, 315, 1521, 11012, 706, 1027, 5439, 3196, 389, 12387, 4994, 5070, 13, 128001, 128000, 27237, 44265, 13575, 350, 19828, 15942, 3110, 32, 24755, 482, 4034, 264, 53103, 8961, 198, 94880, 59048, 3083, 27563, 984, 435, 18394, 482, 578, 4113, 44355, 727, 198, 42555, 3083, 3247, 58529, 12, 400, 2137, 13, 410, 386, 20088, 51770, 79620, 198, 31949, 2279, 674, 220, 1313, 2199, 220, 17, 3467, 2152, 74467, 220, 2550, 23, 198, 5920, 315, 279, 3495, 1618, 520, 97691, 37, 374, 59547, 311, 9455, 704, 1268, 2678, 315, 264, 3634, 649, 387, 1511, 369, 264, 31528, 8518, 53103, 8961, 13, 1226, 527, 2103, 22954, 430, 420, 955, 315, 15715, 582, 10745, 690, 387, 1888, 2884, 389, 279, 2678, 5569, 11, 2254, 2237, 13, 9176, 4595, 315, 1023, 15715, 582, 10745, 1778, 3691, 7795, 5788, 11, 39580, 5694, 311, 3148, 5788, 12823, 2731, 1109, 1867, 1147, 13, 36016, 279, 5788, 505, 1521, 34324, 649, 387, 20268, 323, 61149, 15603, 13, 7648, 3544, 15715, 582, 10745, 7224, 990, 449, 264, 1633, 7347, 1396, 315, 9606, 779, 4967, 7487, 374, 2753, 315, 264, 3575, 13, 64916, 34324, 1253, 1205, 311, 8356, 927, 220, 1041, 4595, 315, 44304, 304, 2015, 311, 617, 264, 1695, 2027, 2385, 369, 8661, 627, 91, 791, 37647, 374, 1633, 27555, 13, 578, 1948, 374, 1903, 505, 220, 18, 14, 23, 17560, 90761, 12235, 9168, 11, 323, 279, 10007, 8582, 6964, 315, 279, 9168, 706, 912, 23162, 4124, 13, 578, 2800, 315, 279, 37647, 374, 1903, 505, 279, 28807, 7833, 24875, 2867, 3816, 12404, 13, 9432, 791, 6558, 315, 279, 6307, 3838, 374, 8220, 304, 2579, 50137, 13, 578, 50137, 1051, 9277, 927, 264, 4950, 315, 7060, 9462, 430, 706, 3892, 7895, 7693, 315, 220, 18, 14, 19, 17560, 3776, 38600, 304, 433, 13, 578, 4323, 91096, 3090, 4319, 24031, 1555, 420, 38600, 311, 8798, 279, 6558, 13, 578, 65410, 4323, 91096, 3090, 1243, 77662, 264, 4883, 35148, 7795, 7463, 3770, 279, 37647, 627, 91, 2028, 3185, 315, 279, 37647, 3663, 10007, 13, 578, 8825, 706, 1690, 14880, 2362, 13914, 592, 12690, 430, 617, 12314, 11141, 304, 279, 7474, 13, 3842, 706, 6319, 420, 37647, 311, 1935, 9610, 315, 279, 12690, 28601, 304, 279, 7474, 323, 6996, 315, 11141, 304, 12688, 13, 9432, 2028, 1887, 374, 6319, 311, 387, 2225, 459, 17626, 32628, 323, 264, 2678, 2626, 13, 578, 1887, 374, 5918, 779, 430, 832, 4376, 315, 279, 26951, 527, 304, 264, 31741, 323, 832, 4376, 315, 279, 26951, 527, 304, 279, 37647, 13, 3842, 706, 279, 37647, 13001, 2586, 389, 520, 3814, 13, 1115, 5825, 3892, 7720, 13, 578, 1005, 315, 18200, 374, 2753, 2391, 2225, 18852, 779, 1070, 374, 2646, 2288, 1790, 2865, 369, 279, 20314, 1887, 311, 3790, 13, 578, 37143, 13, 315, 279, 3090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 690, 4822, 810, 1524, 1606, 961, 315, 279, 1887, 706, 3177, 520, 682, 3115, 627, 91, 3947, 374, 264, 502, 3816, 6798, 9722, 430, 706, 1690, 5990, 430, 2187, 499, 311, 1684, 279, 4994, 89455, 13, 4323, 91096, 3090, 430, 374, 1511, 311, 8798, 279, 12290, 13284, 6067, 374, 69843, 311, 8798, 1855, 315, 1521, 34239, 13, 3842, 706, 57098, 1690, 5627, 311, 1005, 2678, 27378, 315, 4323, 91096, 3090, 1455, 13750, 13, 9432, 2028, 1887, 706, 1027, 10565, 369, 927, 2380, 1667, 304, 279, 31741, 13, 12220, 430, 4261, 584, 617, 9087, 3842, 2274, 3892, 4382, 502, 5627, 311, 3148, 7829, 1867, 1147, 13, 358, 690, 7664, 279, 6067, 1176, 323, 1243, 358, 690, 1501, 499, 1268, 584, 1457, 3139, 1867, 1147, 369, 279, 3157, 627, 91, 791, 4883, 13192, 304, 279, 6558, 374, 3116, 4579, 7029, 323, 1403, 7693, 5655, 13, 1102, 706, 927, 832, 7895, 7693, 315, 832, 17560, 3776, 13961, 2212, 279, 4994, 315, 433, 430, 374, 32813, 449, 4323, 91096, 3090, 13, 37108, 11071, 287, 374, 20037, 2212, 279, 13961, 323, 264, 6324, 315, 9462, 374, 1990, 279, 13192, 323, 279, 5015, 627, 32, 4883, 628, 9195, 1403, 7693, 7029, 323, 8254, 15271, 5655, 374, 304, 279, 4219, 315, 420, 13192, 13, 578, 13192, 706, 264, 6324, 315, 3341, 581, 15379, 15379, 8956, 802, 6241, 635, 42623, 4330, 15271, 5655, 13, 3842, 706, 42272, 2788, 279, 13192, 449, 1579, 4367, 4106, 15286, 38764, 323, 24924, 6678, 43875, 13, 4314, 38764, 2187, 279, 3090, 311, 3810, 323, 4974, 279, 13192, 2085, 48408, 279, 28029, 7351, 315, 279, 3090, 627, 791, 25878, 6558, 315, 279, 37647, 323, 279, 16335, 14620, 315, 279, 13192, 617, 927, 1403, 7895, 7693, 315, 13961, 28016, 304, 3892, 20181, 315, 7060, 1099, 2692, 49186, 9462, 13, 3277, 279, 3980, 91096, 3090, 374, 6656, 389, 279, 6558, 374, 8369, 311, 279, 5916, 13, 578, 3090, 304, 279, 13192, 374, 1633, 15528, 1524, 994, 279, 4994, 9499, 374, 3770, 7315, 627, 91, 9673, 1176, 9364, 1051, 4529, 304, 6790, 315, 1566, 1060, 13, 1115, 374, 19036, 323, 568, 9087, 3842, 5708, 279, 1887, 449, 62283, 15042, 3974, 7091, 505, 279, 10278, 520, 97691, 37, 13, 19036, 3940, 3318, 369, 97691, 37, 2391, 813, 1566, 1060, 304, 5234, 6150, 13, 1283, 374, 279, 1176, 315, 1690, 99934, 584, 3987, 311, 387, 3025, 311, 18467, 13, 1666, 584, 1977, 279, 40687, 4323, 91096, 3142, 81422, 584, 690, 1205, 1690, 16572, 1274, 13, 9432, 8140, 2655, 2447, 374, 279, 1193, 1648, 311, 1505, 3995, 1274, 889, 527, 16572, 304, 279, 1690, 5829, 315, 4323, 91096, 3090, 13, 1226, 656, 539, 4510, 430, 904, 2050, 775, 5829, 420, 5211, 304, 439, 1690, 5627, 439, 584, 656, 1618, 520, 97691, 37, 627, 2028, 4827, 13192, 706, 1403, 220, 3443, 67272, 19757, 20442, 579, 13001, 13, 19036, 374, 10917, 279, 7091, 304, 279, 19662, 5596, 315, 13192, 779, 814, 649, 7652, 311, 279, 53657, 13001, 13, 4314, 26951, 1101, 5371, 5933, 7160, 3177, 627, 91, 2028, 374, 279, 8582, 3139, 9994, 13192, 304, 279, 37647, 13, 1115, 13192, 374, 53474, 17560, 1317, 323, 36498, 2380, 15271, 7029, 13, 578, 13192, 10187, 8223, 15271, 315, 3090, 994, 279, 1887, 374, 6656, 389, 13, 3277, 279, 14155, 374, 6656, 1022, 279, 1887, 781, 20274, 832, 17560, 315, 3090, 439, 5899, 51222, 24659, 1139, 279, 4827, 13192, 627, 791, 8582, 13192, 706, 264, 1633, 1664, 6319, 3177, 30759, 13, 3842, 1903, 1403, 358, 24310, 27367, 16283, 430, 374, 1317, 3403, 311, 3412, 8223, 482, 3116, 4579, 1317, 34083, 13, 1283, 68865, 20349, 3544, 3403, 369, 279, 54320, 311, 21818, 1555, 719, 539, 3544, 3403, 369, 842, 19079, 13, 3277, 568, 22245, 264, 502, 46912, 304, 279, 842, 19079, 3412, 433, 304, 2035, 13, 1115, 30759, 706, 12466, 60291, 430, 3412, 433, 3871, 13, 3842, 649, 12157, 279, 4553, 3177, 30759, 709, 704, 315, 279, 1648, 627, 1687, 617, 1027, 3025, 311, 3139, 1690, 7060, 1867, 1147, 1234, 220, 1272, 67272, 54320, 13, 1115, 1887, 5829, 5933, 3177, 311, 3139, 1867, 1147, 304, 279, 4156, 4376, 315, 279, 8582, 13192, 13, 12220, 279, 1938, 279, 3177, 649, 387, 30831, 311, 2187, 279, 40120, 311, 3810, 279, 13192, 13, 3861, 315, 279, 8125, 3842, 13001, 279, 31741, 4376, 315, 420, 1887, 520, 3814, 374, 1606, 568, 3629, 4375, 389, 53103, 54743, 3389, 1139, 279, 3814, 13, 3277, 279, 6067, 1051, 2225, 389, 279, 1890, 11008, 568, 574, 7347, 555, 279, 45622, 627, 91, 2028, 6945, 5039, 279, 7872, 499, 1205, 311, 1304, 420, 955, 315, 3177, 30759, 13, 3842, 1511, 2380, 8223, 17560, 12466, 779, 279, 30759, 1053, 387, 1633, 3831, 13, 7181, 279, 6710, 315, 12466, 430, 568, 5829, 311, 3412, 279, 30759, 304, 279, 709, 2361, 13, 1115, 1862, 374, 1093, 279, 832, 389, 1690, 35528, 305, 9242, 13, 1226, 617, 1511, 279, 23506, 842, 19079, 1376, 81422, 15899, 369, 3116, 1667, 323, 814, 656, 264, 1633, 1695, 2683, 13, 4314, 842, 19079, 656, 539, 990, 389, 650, 24755, 54320, 1606, 814, 636, 2653, 1606, 315, 279, 8798, 13, 9432, 2460, 315, 279, 5041, 12019, 527, 22563, 389, 279, 7147, 4920, 279, 1887, 779, 814, 656, 539, 636, 14739, 13, 1226, 4048, 779, 1790, 505, 3842, 1606, 568, 374, 264, 6721, 7514, 13, 2052, 315, 813, 7224, 527, 26861, 304, 872, 1005, 315, 7384, 627, 2675, 649, 1518, 279, 92825, 304, 420, 13192, 430, 3842, 5829, 311, 3412, 813, 4018, 2110, 13, 578, 1620, 743, 315, 9364, 315, 420, 8582, 1887, 690, 1501, 1268, 1790, 279, 1867, 1147, 14264, 304, 1120, 3116, 5672, 13, 9176, 315, 279, 1867, 1147, 1051, 15042, 304, 279, 4827, 44355, 727, 779, 814, 1436, 387, 1511, 439, 2967, 347, 5708, 304, 279, 502, 44355, 727, 13, 578, 1828, 743, 315, 9364, 1501, 1268, 584, 14264, 279, 2967, 347, 5708, 627, 26597, 16071, 22631, 97691, 37, 13575, 220, 2550, 23, 26202, 315, 279, 1060, 198, 91, 2028, 6945, 5039, 279, 3177, 994, 433, 374, 304, 279, 39920, 2361, 13, 8096, 16071, 22631, 374, 3411, 520, 1063, 315, 279, 502, 1867, 1147, 12471, 69, 706, 1120, 7882, 505, 279, 10278, 520, 220, 9413, 16, 46863, 30304, 627, 1687, 690, 5246, 387, 7366, 520, 3325, 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 ]
[ 315, 1855, 9606, 311, 420, 502, 1887, 13, 12471, 69, 374, 3815, 4395, 584, 649, 311, 6144, 1057, 1252, 15647, 75226, 8715, 13, 1226, 617, 1047, 3892, 10507, 315, 1268, 3062, 433, 374, 311, 4430, 9024, 1867, 1147, 779, 499, 649, 636, 832, 1203, 422, 2555, 8741, 627, 8607, 315, 279, 1867, 1147, 430, 3842, 690, 1005, 369, 8518, 5788, 617, 1027, 304, 279, 4827, 1887, 369, 2380, 1667, 13, 1102, 374, 2653, 311, 10552, 1268, 3062, 433, 374, 369, 5788, 430, 279, 2967, 347, 5708, 1867, 1147, 387, 1645, 566, 7292, 311, 701, 1887, 13, 3277, 584, 7782, 8545, 1867, 1147, 584, 3197, 311, 3868, 832, 2539, 1060, 369, 1124, 311, 387, 5644, 311, 1212, 54743, 13, 5884, 1712, 499, 649, 7782, 60951, 15042, 5708, 499, 690, 3665, 15525, 892, 304, 279, 5788, 315, 4018, 2110, 627, 91, 791, 13192, 374, 20037, 449, 3776, 13961, 323, 279, 4323, 91096, 3090, 374, 63973, 2212, 279, 4994, 1234, 264, 6324, 315, 49117, 13, 3842, 574, 3025, 311, 2567, 2225, 279, 4827, 323, 8582, 26951, 8369, 323, 15528, 2391, 279, 3347, 1403, 86082, 13, 7511, 13379, 574, 3025, 311, 8356, 9214, 315, 45903, 32329, 3447, 323, 393, 5893, 339, 20103, 555, 6041, 2678, 323, 8748, 369, 7138, 311, 656, 1077, 961, 13, 3296, 3794, 3940, 3892, 1667, 4227, 3842, 706, 9687, 1268, 311, 8356, 11758, 315, 45903, 32329, 307, 63634, 449, 704, 3515, 311, 4018, 323, 38561, 904, 315, 813, 5708, 627, 2028, 374, 6945, 315, 279, 4156, 315, 279, 13192, 13, 578, 45903, 32329, 3447, 617, 15042, 927, 279, 12466, 30759, 13, 1226, 649, 4148, 279, 63634, 323, 8454, 1124, 449, 502, 6305, 13, 763, 3892, 5672, 1124, 502, 63634, 527, 9960, 449, 45903, 32329, 3447, 627, 2675, 649, 1518, 3892, 20349, 1405, 584, 7108, 279, 8220, 63634, 13, 4314, 63634, 527, 1457, 1694, 1511, 311, 1212, 25562, 315, 1023, 63634, 304, 279, 26951, 304, 279, 8582, 37647, 13, 1226, 1005, 832, 39441, 20206, 304, 279, 4219, 315, 3892, 502, 63634, 430, 527, 5762, 304, 12466, 25562, 627, 791, 921, 301, 1677, 304, 420, 6945, 374, 279, 24417, 832, 584, 617, 304, 1057, 3495, 2447, 13, 3842, 1457, 12716, 433, 362, 11696, 36259, 23902, 505, 279, 97691, 37, 10278, 13, 2684, 527, 3892, 9863, 315, 9995, 575, 6347, 389, 279, 66968, 430, 584, 617, 7882, 1606, 814, 1051, 1694, 39313, 704, 555, 279, 45903, 32329, 3447, 627, 91, 791, 37108, 35788, 389, 279, 1314, 315, 420, 6945, 374, 3025, 311, 3412, 927, 220, 1041, 63634, 13, 7181, 1268, 279, 45903, 32329, 3447, 617, 15042, 1523, 8800, 279, 4124, 13, 578, 53103, 304, 279, 5740, 315, 279, 6945, 374, 459, 3289, 36888, 287, 480, 1813, 76591, 505, 9784, 13, 5884, 955, 315, 53103, 430, 43653, 649, 387, 1511, 304, 420, 955, 315, 54743, 13, 1442, 499, 2567, 279, 13192, 68951, 1949, 279, 66968, 323, 14418, 649, 387, 1511, 369, 1667, 627, 10803, 543, 483, 68951, 690, 3504, 279, 13192, 14620, 323, 279, 14418, 13, 578, 502, 63634, 690, 3139, 1867, 543, 483, 1790, 10819, 994, 279, 13192, 14620, 527, 9960, 449, 1867, 543, 483, 627, 2149, 67378, 2585, 374, 832, 315, 279, 1455, 3062, 2574, 311, 617, 422, 499, 527, 17843, 1867, 1147, 369, 6412, 13, 3842, 706, 1047, 1690, 315, 279, 4113, 77036, 4448, 12170, 304, 279, 1887, 369, 2380, 1667, 13, 578, 4224, 6341, 323, 1077, 1800, 1589, 3518, 656, 264, 2294, 2683, 389, 1455, 315, 279, 68951, 11, 323, 279, 64196, 1589, 3518, 2567, 279, 3575, 7013, 68951, 1234, 2585, 627, 91, 2028, 374, 264, 3345, 709, 315, 279, 45903, 32329, 307, 3419, 454, 5893, 339, 20103, 6651, 430, 374, 7982, 389, 832, 315, 279, 12466, 66968, 13, 1472, 649, 1120, 1518, 279, 6964, 315, 1063, 315, 279, 20349, 430, 656, 539, 617, 63634, 13, 3277, 3842, 29260, 279, 9960, 63634, 568, 690, 1005, 1124, 311, 1212, 810, 25562, 315, 1521, 1867, 1147, 13, 9432, 8607, 9606, 315, 8579, 1867, 1147, 649, 387, 15042, 3871, 389, 279, 1890, 23902, 13, 1226, 3629, 5371, 420, 955, 315, 42036, 994, 584, 7782, 502, 25973, 1867, 1147, 13, 45903, 32329, 3447, 323, 1322, 3565, 5893, 339, 20103, 649, 3139, 3871, 369, 1667, 627, 45945, 527, 1633, 18949, 994, 814, 5371, 459, 5066, 28296, 45903, 32329, 307, 13, 1226, 527, 50284, 3892, 1023, 8579, 1867, 1147, 389, 279, 1890, 71145, 20206, 11, 323, 584, 690, 1934, 279, 1888, 28559, 627, 16397, 279, 1828, 1403, 5347, 76802, 97691, 37, 374, 2133, 311, 387, 26984, 439, 1690, 502, 2967, 347, 5708, 1867, 1147, 439, 3284, 13, 9176, 315, 279, 9749, 2967, 347, 5708, 1867, 1147, 690, 387, 6216, 311, 502, 20957, 1778, 439, 3842, 13, 1102, 374, 2653, 311, 10552, 682, 315, 279, 8125, 430, 60951, 9408, 1867, 1147, 3139, 779, 1790, 2731, 304, 8036, 6067, 13, 3277, 584, 1212, 54743, 315, 264, 502, 2027, 1701, 1867, 1147, 430, 584, 7782, 505, 62283, 15042, 5708, 584, 527, 3025, 311, 3665, 459, 4553, 1060, 315, 1645, 566, 79448, 279, 53103, 311, 84019, 627, 4599, 584, 3351, 1867, 1147, 505, 279, 97691, 37, 10278, 311, 3842, 596, 814, 3629, 16063, 11295, 6650, 304, 2753, 1109, 832, 2046, 13, 3277, 584, 7782, 8545, 5708, 584, 3629, 3868, 927, 264, 1060, 1603, 584, 1304, 279, 1176, 4018, 2110, 627, 91, 2028, 6945, 5039, 832, 315, 279, 1176, 328, 5119, 1867, 1147, 584, 7882, 1139, 420, 1887, 13, 7181, 279, 1499, 1100, 9070, 13, 20223, 2110, 505, 420, 53103, 690, 387, 6216, 369, 1667, 627, 791, 12466, 3830, 449, 279, 5950, 374, 264, 56226, 35788, 430, 374, 1511, 311, 3412, 3116, 17560, 9518, 51131, 13, 1226, 1005, 1521, 92825, 311, 3412, 71145, 63634, 13, 1115, 35788, 706, 1690, 45903, 32329, 3447, 7982, 389, 279, 12466, 13, 1226, 527, 3025, 311, 4148, 8220, 63634, 323, 1243, 5774, 502, 63634, 304, 1890, 20349, 13, 578, 502, 63634, 5246, 3719, 9960, 449, 45903, 32329, 3447, 627, 2170, 701, 8961, 28815, 433, 374, 3062, 430, 499, 2274, 5627, 311, 3665, 9511, 13, 578, 2853, 315, 1855, 961, 315, 701, 54743, 690, 1935, 3201, 505, 279, 11626, 13, 97691, 37, 690, 3136, 311, 4034, 53103, 34324, 779, 584, 649, 4430, 502, 6848, 449, 499, 439, 584, 682, 3139, 1057, 1866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34324, 627, 91, 2028, 374, 279, 35788, 1603, 3842, 7108, 1063, 315, 279, 71145, 63634, 13, 1666, 1521, 92825, 3719, 1867, 543, 483, 9960, 433, 9221, 2753, 323, 2753, 4461, 430, 6307, 68951, 690, 3139, 389, 1124, 13, 3842, 5829, 832, 323, 264, 4376, 4448, 12170, 824, 50680, 779, 279, 7013, 68951, 374, 539, 264, 3575, 13, 578, 921, 301, 1677, 320, 34, 18994, 7198, 8, 706, 8774, 682, 315, 279, 362, 11696, 36259, 505, 7982, 779, 420, 35788, 19159, 4335, 5708, 369, 279, 502, 1887, 13, 9432, 48567, 311, 2585, 76056, 449, 5933, 5528, 374, 832, 315, 2574, 499, 649, 656, 1418, 499, 527, 6041, 701, 2162, 53103, 8961, 304, 279, 62283, 82, 499, 2736, 2567, 13, 26778, 1274, 617, 6818, 311, 9407, 872, 54743, 6067, 2288, 5043, 323, 279, 44885, 68951, 47168, 279, 6067, 13, 20474, 433, 374, 1695, 311, 3139, 6435, 11, 279, 32628, 690, 2103, 387, 1618, 13, 1442, 499, 704, 3139, 701, 3217, 477, 6373, 5845, 499, 690, 617, 5435, 13, 1442, 499, 3139, 6435, 323, 4048, 922, 5435, 1418, 814, 527, 2678, 499, 690, 1977, 264, 2883, 430, 374, 2225, 13548, 311, 1866, 323, 34235, 627, 91, 2675, 649, 1005, 1475, 3634, 304, 701, 92825, 311, 8356, 3956, 13, 1115, 35788, 304, 279, 31741, 374, 1120, 927, 4330, 7693, 1317, 323, 279, 13001, 527, 3116, 7693, 1317, 13, 3842, 2163, 279, 1314, 842, 315, 279, 13192, 539, 9960, 449, 54320, 323, 1690, 3428, 3177, 10099, 1778, 439, 274, 621, 4282, 323, 14019, 63000, 8983, 2270, 627, 10803, 543, 483, 68951, 14264, 304, 420, 3428, 3177, 3158, 13, 4800, 3842, 13001, 279, 31741, 520, 3814, 779, 1077, 649, 990, 389, 420, 961, 315, 279, 44355, 727, 1306, 279, 13001, 617, 8208, 704, 304, 279, 50007, 26951, 13, 25773, 1268, 279, 48251, 527, 7982, 389, 279, 2559, 13961, 13, 3842, 9687, 430, 433, 374, 2731, 311, 617, 810, 1109, 832, 2559, 13961, 304, 1855, 13192, 13, 1442, 832, 13961, 374, 19857, 279, 1023, 832, 649, 24659, 279, 3090, 627, 2028, 374, 53391, 11186, 596, 7075, 33652, 541, 689, 13, 1115, 53103, 374, 304, 1077, 24417, 62283, 11, 323, 433, 374, 6041, 311, 1304, 24869, 13, 1226, 1690, 810, 315, 279, 6437, 323, 6307, 6305, 11, 323, 13678, 3629, 31878, 1063, 60951, 9408, 6305, 627, 32, 22469, 386, 20088, 51770, 79620, 5257, 21673, 4874, 198, 2028, 374, 264, 1912, 315, 48251, 7982, 304, 279, 4156, 315, 53391, 11186, 596, 71145, 13, 1226, 527, 1457, 12096, 323, 11380, 369, 682, 315, 6437, 323, 25977, 48251, 584, 649, 636, 13, 1442, 499, 617, 2288, 1690, 48251, 1650, 13678, 520, 220, 16, 12, 4728, 12, 5067, 12, 21379, 18, 323, 1518, 1148, 568, 690, 6696, 369, 1124, 627, 17826, 4018, 2110, 389, 7091, 779, 430, 814, 690, 387, 389, 1948, 994, 7091, 374, 9277, 304, 71145, 13, 35602, 279, 4272, 1303, 927, 279, 4018, 2110, 449, 3892, 23506, 21562, 627, 791, 4272, 1303, 1288, 387, 10508, 779, 430, 433, 10187, 279, 279, 4018, 2110, 389, 279, 7091, 3156, 814, 15866, 627, 32641, 361, 279, 1867, 543, 483, 23902, 311, 279, 1948, 315, 279, 7091, 449, 279, 1867, 543, 483, 31687, 279, 58668, 13, 20255, 3083, 51, 965, 7683, 5726, 1777, 27563, 4006, 4069, 6328, 5257, 3247, 79620, 50, 13, 1472, 649, 636, 1695, 1867, 543, 483, 505, 279, 4156, 9168, 449, 264, 60230, 25879, 13, 4563, 543, 483, 68951, 374, 264, 6136, 323, 433, 28815, 505, 1633, 2678, 9863, 11, 719, 433, 649, 539, 3139, 422, 499, 656, 539, 2231, 433, 304, 279, 13192, 13, 11004, 279, 7091, 304, 279, 5740, 315, 264, 3139, 704, 13192, 779, 430, 279, 48251, 636, 3177, 13, 1115, 7091, 690, 3139, 1888, 422, 433, 1587, 539, 636, 3831, 1510, 13, 1226, 1005, 15379, 64938, 77036, 12623, 520, 3116, 3115, 279, 5912, 19660, 389, 682, 386, 20088, 51770, 328, 198, 47798, 5745, 715, 2009, 80262, 198, 6731, 37, 84587, 964, 10022, 8927, 38, 13983, 54279, 63063, 52831, 198, 10464, 420, 2816, 311, 11886, 701, 71145, 62283, 68951, 5435, 11, 323, 1520, 1862, 1057, 3495, 80395, 76586, 3247, 3680, 44645, 53659, 3579, 198, 2675, 649, 1862, 1057, 3495, 323, 4048, 810, 922, 71145, 62283, 82, 323, 14739, 8329, 198, 10861, 21, 88783, 800, 627, 1255, 1082, 40687, 220, 26244, 2304, 198, 26450, 3083, 26095, 198, 69957, 3651, 40400, 198, 54778, 59080, 50, 87001, 765, 41667, 765, 3467, 2152, 74467, 87001, 26095, 220, 16, 765, 3467, 2152, 74467, 87001, 26095, 220, 18, 198, 27237, 44265, 13575, 350, 19828, 15942, 3110, 32, 24755, 482, 4034, 264, 53103, 8961, 198, 94880, 59048, 3083, 27563, 984, 435, 18394, 482, 578, 4113, 44355, 727, 198, 42555, 3083, 3247, 58529, 12, 400, 2137, 13, 410, 386, 20088, 51770, 79620, 128001, 128000, 791, 220, 914, 339, 6287, 220, 679, 21, 15785, 279, 220, 5332, 303, 22310, 315, 279, 72984, 315, 12366, 505, 32527, 30747, 555, 279, 10496, 61855, 8603, 315, 279, 3658, 8753, 11, 8681, 13527, 323, 1077, 49028, 11, 323, 279, 549, 815, 885, 13, 71828, 420, 22310, 2643, 733, 653, 47462, 304, 1455, 7634, 28858, 12366, 477, 9822, 11, 433, 374, 48776, 311, 6227, 430, 279, 1274, 315, 9822, 16654, 2294, 69764, 323, 54680, 1234, 6063, 30747, 13, 8753, 1274, 6917, 2111, 323, 559, 44156, 24797, 279, 32527, 73238, 88075, 9769, 82, 3952, 279, 8857, 315, 8753, 73238, 88075, 9769, 82, 5933, 5070, 369, 872, 1866, 1005, 13, 4452, 11, 433, 374, 48776, 27401, 430, 279, 6063, 99452, 315, 9822, 374, 20733, 304, 279, 3446, 315, 61130, 439, 1690, 8753, 1274, 11, 2225, 704, 315, 8850, 323, 704, 315, 66939, 315, 6063, 11759, 11, 78174, 26662, 449, 279, 6063, 72280, 8603, 627, 11458, 11, 1070, 574, 264, 3544, 8857, 315, 8753, 1274, 11, 1455, 35146, 279, 8753, 40980, 11, 889, 67414, 2225, 67879, 323, 22655, 2403, 279, 30747, 315, 872, 3224, 13, 31700, 304, 4040, 304, 420, 4261, 574, 77784, 304, 27545, 5627, 13, 362, 2579, 11, 4251, 323, 6437, 8679, 389, 46168, 4618, 6187, 389, 279, 220, 975, 339, 315, 5887, 477, 95950, 37862, 430, 97228, 28736, 279, 15447, 66901, 287, 5718, 13, 358, 6244, 8173, 304, 1268, 3278, 11, 323, 7724, 11, 1511, 11401, 439, 264, 1376, 315, 5054, 13957, 1306, 14624, 311, 46586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1472, 9083, 291, 304, 11346, 3308, 73238, 88075, 9769, 82, 3293, 18181, 389, 279, 8712, 315, 8753, 274, 472, 22676, 13957, 2391, 61130, 11, 20458, 31700, 439, 31597, 40980, 627, 2028, 9417, 15243, 922, 1268, 3995, 3278, 323, 7724, 889, 1051, 274, 472, 22676, 398, 64828, 1511, 17895, 11, 13354, 323, 23090, 311, 14413, 3725, 1501, 872, 28979, 13957, 311, 6063, 30747, 13, 578, 9417, 574, 1080, 39689, 291, 555, 11401, 44068, 5936, 7290, 22826, 11, 889, 15243, 922, 3278, 1701, 7732, 559, 46851, 311, 1304, 45526, 323, 1701, 90424, 369, 779, 645, 315, 872, 15653, 13, 5046, 4040, 2802, 311, 13016, 374, 279, 23035, 315, 639, 248, 88075, 22980, 273, 744, 68, 423, 73238, 88075, 9769, 11, 902, 374, 539, 264, 11999, 3072, 1234, 279, 15447, 66901, 287, 1887, 11, 719, 3878, 505, 74260, 81012, 4339, 304, 8753, 430, 8464, 311, 3794, 704, 315, 34553, 15082, 13, 32140, 11, 3249, 1274, 1511, 639, 248, 88075, 22980, 273, 744, 68, 423, 73238, 88075, 9769, 369, 279, 3776, 3157, 304, 9822, 477, 369, 3278, 477, 5220, 889, 1903, 15447, 505, 19018, 7384, 627, 29146, 1101, 13739, 922, 279, 7982, 74164, 685, 315, 45526, 304, 94165, 5054, 6743, 2391, 279, 30747, 315, 9822, 13, 97485, 11, 279, 1005, 315, 29112, 598, 449, 37067, 55043, 16451, 315, 8753, 61024, 11, 8753, 13970, 16451, 323, 11495, 8753, 19287, 11, 68141, 323, 20142, 13, 763, 279, 9364, 11, 499, 649, 1518, 832, 315, 1521, 95950, 45526, 430, 264, 5333, 706, 24634, 311, 264, 7102, 3388, 13, 1115, 75028, 477, 13535, 6993, 1053, 617, 1047, 5419, 14726, 1903, 315, 7732, 11, 59982, 477, 1524, 9248, 422, 7732, 574, 59290, 4999, 791, 220, 6393, 15, 82, 574, 83193, 84362, 64, 892, 994, 8753, 12822, 7829, 574, 30240, 304, 23354, 439, 1690, 3995, 8753, 3026, 323, 3278, 1051, 3697, 315, 279, 8753, 13957, 13, 45629, 750, 11, 3995, 7724, 1051, 12512, 2579, 11, 4251, 323, 6437, 1529, 20340, 11, 53779, 477, 37862, 3060, 311, 20466, 19788, 505, 279, 6063, 15201, 477, 439, 264, 72547, 1501, 315, 872, 8753, 90442, 13, 1115, 5054, 13957, 1555, 279, 84163, 315, 11401, 574, 8104, 3831, 2212, 46168, 4618, 6187, 389, 279, 220, 975, 339, 5887, 994, 3995, 7724, 1436, 387, 320, 438, 1051, 8, 12800, 369, 872, 69260, 13, 763, 279, 18181, 11, 5936, 7290, 22826, 34945, 430, 832, 3828, 28670, 264, 357, 86892, 19671, 449, 639, 248, 88075, 22980, 37225, 683, 73238, 88075, 9769, 477, 639, 248, 88075, 22980, 37225, 42827, 73238, 88075, 9769, 6743, 304, 86721, 902, 6197, 311, 1077, 8163, 13, 53123, 11, 279, 3828, 574, 6004, 994, 1364, 6476, 639, 248, 88075, 22980, 67, 3635, 73238, 88075, 9769, 323, 279, 6063, 30747, 8603, 15393, 430, 279, 8163, 315, 264, 34268, 3828, 1053, 656, 4400, 369, 63683, 4999, 60105, 279, 18181, 11, 5936, 7290, 22826, 323, 279, 1501, 73238, 88075, 9769, 82, 18939, 6420, 1268, 430, 1306, 279, 842, 315, 61130, 279, 2800, 315, 279, 19001, 1917, 1051, 82323, 520, 279, 74164, 685, 315, 8753, 11401, 13, 24941, 304, 4059, 430, 1990, 220, 6393, 15, 323, 220, 6393, 19, 11, 912, 7362, 23672, 18677, 8753, 11401, 5039, 477, 19207, 13, 763, 279, 18181, 11, 433, 374, 18784, 430, 279, 3278, 889, 28670, 279, 927, 279, 1948, 282, 1003, 919, 1051, 67473, 2740, 70441, 6063, 6037, 13, 1952, 279, 1023, 1450, 11, 1690, 26897, 11, 4211, 323, 17032, 30447, 78174, 449, 279, 6063, 10366, 4918, 13, 1102, 374, 1101, 9932, 430, 279, 3995, 7724, 889, 28670, 5054, 13957, 304, 279, 1376, 315, 17895, 3474, 10185, 872, 9191, 38495, 369, 872, 72547, 17029, 6480, 315, 279, 6063, 8735, 627, 3923, 374, 2867, 374, 430, 3995, 7724, 1550, 10051, 17895, 439, 5054, 13957, 311, 1501, 872, 68078, 311, 872, 3224, 13, 1115, 1749, 315, 12512, 701, 4851, 389, 701, 37253, 11, 5115, 16280, 11, 649, 387, 32549, 311, 7724, 889, 527, 8173, 304, 5054, 11384, 477, 527, 25051, 5054, 47748, 304, 872, 1866, 5961, 13, 1102, 374, 48776, 27401, 430, 3995, 7724, 323, 3278, 889, 1550, 31205, 22884, 279, 6063, 30747, 3629, 2322, 28860, 323, 47322, 16779, 11, 1120, 1606, 814, 14896, 311, 10051, 264, 77784, 8753, 9072, 13, 4452, 11, 358, 1053, 8659, 7079, 279, 18181, 369, 5606, 889, 374, 8173, 304, 8753, 11, 61130, 477, 31700, 11346, 627, 31728, 16730, 4953, 13, 128001, 128000, 9023, 13, 26181, 56728, 11, 14306, 11, 88756, 11, 435, 7532, 4977, 11, 435, 30542, 11, 6515, 1088, 6938, 18029, 10852, 11, 35434, 1148, 459, 1722, 73151, 13255, 374, 1511, 369, 994, 13493, 14759, 3738, 47345, 4787, 627, 8746, 279, 2851, 1131, 3923, 374, 459, 469, 331, 511, 37489, 13255, 30, 2999, 13, 26181, 56728, 11, 14306, 11, 88756, 11, 435, 7532, 4977, 11, 435, 30542, 11, 6515, 1088, 6938, 18029, 10852, 11, 35434, 1148, 459, 1722, 73151, 13255, 374, 1511, 369, 994, 13493, 14759, 3738, 47345, 4787, 627, 2677, 311, 38531, 1088, 2835, 198, 6251, 40328, 2999, 13, 26181, 56728, 11, 14306, 11, 88756, 11, 435, 7532, 4977, 11, 435, 30542, 11, 6515, 1088, 6938, 18029, 10852, 11, 6938, 72, 16549, 198, 13242, 25, 220, 17, 4520, 11, 220, 1419, 6622, 198, 2127, 31972, 511, 37489, 13255, 374, 459, 63859, 430, 374, 10887, 389, 279, 4851, 13, 1102, 374, 279, 1890, 5557, 439, 459, 63859, 430, 374, 1511, 11, 369, 3187, 11, 369, 20209, 13, 38267, 4619, 315, 14224, 3411, 520, 279, 85656, 11, 584, 3207, 3411, 520, 279, 4851, 627, 3112, 279, 7580, 315, 459, 63859, 315, 279, 4851, 374, 311, 3619, 279, 14726, 11, 439, 1664, 439, 279, 734, 315, 279, 4851, 304, 3878, 315, 1202, 53226, 734, 11, 1202, 43685, 6012, 11, 439, 1664, 439, 1268, 1664, 279, 832, 27896, 64100, 990, 13, 1226, 649, 1101, 636, 1023, 2038, 1778, 439, 25636, 15813, 315, 40850, 4871, 279, 53279, 315, 279, 4851, 11, 439, 1664, 439, 459, 8830, 315, 279, 11347, 430, 5238, 279, 4851, 627, 791, 4623, 315, 459, 31972, 511, 37489, 13255, 374, 433, 6835, 603, 264, 1695, 8830, 315, 279, 4272, 2515, 315, 682, 279, 1207, 37748, 82, 315, 279, 4851, 11, 389, 1268, 279, 4851, 27772, 13, 8489, 11, 459, 31972, 511, 37489, 13255, 374, 264, 14470, 17037, 69621, 1296, 369, 73151, 22012, 323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 369, 2655, 1705, 11, 323, 433, 374, 1511, 994, 1070, 374, 1063, 3488, 922, 3508, 477, 539, 4423, 706, 459, 35663, 734, 315, 3060, 279, 47345, 5178, 11, 477, 459, 35663, 734, 304, 832, 315, 279, 64100, 627, 3112, 584, 1053, 1005, 433, 311, 8720, 3508, 477, 539, 279, 4851, 374, 7621, 11, 3508, 279, 4851, 374, 3831, 719, 12153, 311, 12234, 11, 477, 3508, 477, 539, 832, 315, 279, 832, 27896, 64100, 374, 20727, 477, 374, 88804, 304, 264, 1648, 430, 3060, 29034, 433, 505, 8736, 477, 11384, 433, 311, 24237, 627, 11076, 4787, 304, 902, 459, 31972, 511, 37489, 13255, 374, 1511, 311, 58681, 527, 4787, 304, 902, 499, 3207, 32427, 430, 264, 8893, 706, 264, 7621, 4851, 11, 477, 422, 264, 8893, 706, 32403, 315, 832, 315, 279, 64100, 11, 323, 499, 3207, 13126, 15173, 477, 1063, 1023, 1749, 311, 8454, 477, 13023, 430, 32530, 13, 4314, 1053, 387, 5157, 304, 902, 64100, 1541, 1431, 1825, 10489, 11, 1606, 315, 842, 51256, 4442, 430, 5353, 802, 339, 50308, 4442, 11, 477, 4787, 902, 3063, 311, 99748, 315, 279, 32530, 11, 14718, 1239, 5673, 7709, 627, 36, 331, 511, 37489, 56485, 1288, 387, 2884, 304, 459, 55325, 12764, 13, 64285, 814, 527, 2884, 304, 24461, 11, 719, 814, 527, 879, 13077, 13, 2030, 6106, 430, 814, 3207, 55325, 11, 323, 814, 1288, 387, 20270, 268, 555, 35944, 889, 617, 3361, 84484, 323, 5255, 4967, 304, 31972, 511, 37489, 5814, 627, 2746, 499, 617, 904, 4726, 4860, 922, 459, 31972, 511, 37489, 13255, 11, 499, 1288, 6604, 311, 701, 3070, 28378, 11, 477, 13893, 1524, 264, 24687, 889, 27772, 31972, 511, 37489, 5814, 627, 34949, 25, 2999, 13, 26181, 56728, 11, 6938, 72, 16549, 11, 23393, 11, 18531, 198, 7469, 18373, 684, 388, 25, 6938, 72, 16549, 198, 2028, 2262, 374, 369, 47735, 10096, 1193, 11, 323, 374, 539, 10825, 311, 387, 264, 28779, 369, 6721, 6593, 9650, 11, 23842, 477, 6514, 13, 24119, 6056, 279, 9650, 315, 701, 28378, 477, 1023, 15337, 18985, 6721, 449, 904, 4860, 499, 1253, 617, 9002, 264, 6593, 3044, 13, 128001, 128000, 11769, 1060, 11, 6890, 6821, 922, 220, 16, 11, 410, 11, 931, 67827, 9572, 5157, 13, 4470, 315, 420, 1396, 11, 220, 1399, 824, 2960, 315, 3278, 2815, 8994, 433, 1694, 264, 4322, 481, 323, 5471, 481, 8624, 13, 63554, 27698, 682, 927, 279, 3224, 527, 1457, 75701, 311, 14027, 3357, 872, 30968, 2403, 420, 29962, 8624, 13, 11344, 32743, 484, 7942, 65092, 374, 264, 955, 315, 17188, 315, 902, 1070, 527, 810, 1109, 220, 1041, 42400, 13, 36925, 279, 25474, 649, 1520, 6144, 499, 505, 74469, 4595, 220, 845, 323, 220, 972, 1820, 4595, 430, 5353, 220, 1490, 824, 2960, 315, 67827, 9572, 5157, 13, 6193, 279, 1667, 11, 14248, 617, 1766, 430, 86661, 279, 40300, 311, 51516, 1990, 279, 17051, 315, 220, 24, 12, 975, 1667, 649, 12391, 6822, 3278, 505, 3682, 9313, 505, 67827, 9572, 9057, 555, 1579, 46570, 42400, 3924, 49569, 59788, 1572, 15455, 279, 5326, 315, 67827, 9572, 555, 220, 5538, 824, 2960, 4599, 38018, 1990, 279, 17051, 315, 220, 975, 311, 220, 845, 11, 279, 25474, 649, 4018, 1523, 279, 17393, 315, 11469, 9572, 555, 220, 5538, 3346, 13, 3277, 9076, 311, 3278, 1990, 279, 17051, 315, 220, 845, 311, 220, 972, 11, 433, 11293, 279, 5326, 555, 220, 1958, 824, 2960, 13, 19241, 617, 1523, 430, 422, 279, 74469, 25474, 374, 11093, 449, 67827, 9572, 23061, 11, 649, 8108, 9572, 311, 264, 1486, 1405, 4661, 912, 832, 39671, 433, 13, 1115, 25474, 706, 1027, 27461, 12793, 369, 41265, 323, 374, 11349, 311, 387, 2728, 311, 7931, 1603, 814, 1304, 872, 1176, 7392, 3729, 24458, 6100, 433, 1694, 779, 7524, 11, 279, 6156, 33287, 311, 3794, 70558, 374, 6020, 13, 6104, 6890, 374, 2162, 311, 220, 845, 12, 1114, 824, 2960, 315, 279, 24800, 7187, 11, 220, 1544, 824, 2960, 315, 2860, 67827, 9572, 5157, 682, 927, 279, 1917, 527, 505, 1618, 13, 15903, 11, 304, 6890, 922, 220, 2813, 3346, 315, 5157, 315, 67827, 9572, 527, 9057, 555, 74469, 220, 845, 323, 220, 972, 18951, 718, 25474, 374, 2561, 304, 6890, 30, 644, 6890, 11, 584, 617, 279, 3072, 315, 4737, 264, 40774, 11, 1403, 11, 477, 2380, 1773, 974, 74469, 25474, 3388, 13, 578, 7904, 16192, 315, 99871, 10554, 389, 67335, 2065, 320, 40, 2599, 8445, 40, 8, 13533, 430, 74469, 40300, 1288, 387, 2728, 439, 264, 1403, 1773, 974, 68128, 11, 4848, 4038, 10980, 369, 7724, 3770, 279, 4325, 315, 220, 975, 1667, 13, 1789, 1884, 889, 527, 220, 868, 323, 9191, 11, 279, 25474, 374, 2728, 304, 264, 2380, 1773, 974, 68128, 13, 128001, 128000, 73236, 701, 6975, 311, 13488, 1268, 27052, 323, 15837, 527, 23711, 304, 6873, 6067, 11, 439, 1664, 439, 1057, 1866, 39555, 17223, 1268, 311, 1893, 77109, 6873, 369, 682, 53243, 627, 4438, 649, 47103, 6677, 6067, 6179, 1057, 12917, 12659, 323, 18885, 6873, 30, 2650, 656, 584, 1893, 459, 6873, 1887, 430, 95122, 459, 7294, 3880, 50422, 5603, 323, 25452, 369, 682, 53243, 5380, 2028, 8147, 323, 23387, 5211, 374, 369, 2536, 12, 1451, 26424, 50794, 889, 1390, 311, 4048, 810, 11, 527, 502, 311, 1521, 21633, 11, 477, 1390, 311, 92792, 872, 6975, 627, 8538, 50794, 1253, 2586, 311, 420, 990, 449, 1063, 4353, 10629, 367, 13, 1472, 1253, 2733, 430, 499, 527, 539, 19167, 311, 16988, 304, 47103, 6873, 11, 58755, 11, 477, 7294, 3880, 582, 2191, 990, 13, 1472, 1253, 387, 38100, 922, 22313, 54643, 30771, 36028, 477, 54168, 11, 3339, 21294, 11, 477, 7231, 35355, 13, 763, 1521, 30732, 11, 358, 22114, 499, 311, 1935, 264, 4321, 323, 617, 264, 10652, 449, 264, 1695, 4059, 323, 264, 1695, 4851, 627, 2409, 927, 1403, 11026, 304, 47103, 6873, 11, 3229, 11186, 26560, 64, 37167, 13016, 311, 25670, 323, 8815, 32946, 11, 8881, 389, 872, 1866, 11704, 11, 323, 48146, 264, 810, 77109, 6873, 1887, 369, 682, 13, 9062, 12735, 5764, 198, 12, 22599, 4860, 311, 1520, 1920, 279, 6848, 304, 1855, 12735, 198, 12, 18726, 369, 4737, 1957, 304, 2225, 4443, 323, 6721, 66818, 315, 10383, 198, 12, 11349, 5070, 311, 1373, 11, 3821, 11, 477, 9020, 311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 369, 4726, 6975, 198, 12, 4443, 63851, 323, 94066, 505, 279, 3229, 389, 1077, 1866, 6975, 11879, 198, 12, 24196, 315, 2536, 12, 1451, 26424, 50794, 889, 4430, 872, 6975, 323, 1646, 1268, 311, 3351, 1139, 11, 323, 2503, 11, 304, 7634, 315, 84644, 287, 323, 44776, 11, 779, 584, 649, 21635, 1057, 1866, 50183, 323, 16988, 304, 420, 990, 304, 264, 1695, 1648, 198, 31814, 291, 304, 279, 5629, 81398, 58014, 315, 21579, 11, 420, 16195, 8641, 22890, 389, 26560, 64, 753, 1866, 11704, 304, 8013, 19326, 753, 6873, 1887, 311, 13488, 1268, 311, 6211, 7294, 3880, 50422, 323, 77109, 6873, 6067, 369, 682, 627, 52141, 369, 5403, 389, 701, 1866, 477, 449, 701, 6721, 6975, 4029, 4999, 2746, 499, 527, 8430, 653, 66449, 6261, 323, 44003, 922, 1268, 311, 1520, 701, 4236, 1099, 23182, 449, 279, 19476, 315, 27052, 323, 58755, 11, 1095, 420, 2363, 387, 701, 8641, 311, 7191, 8830, 323, 12410, 13, 578, 12735, 70552, 527, 459, 9250, 22599, 315, 279, 7036, 315, 279, 2262, 323, 690, 3041, 499, 459, 4623, 315, 1268, 5505, 420, 2363, 374, 920, 12699, 67937, 8350, 11, 12152, 30169, 22168, 198, 34710, 3489, 484, 612, 3489, 556, 596, 5165, 6187, 369, 30198, 323, 1050, 99340, 25, 362, 5403, 1160, 315, 6603, 4756, 304, 220, 2366, 17, 430, 3493, 264, 38970, 311, 7191, 8830, 11, 19662, 22599, 11, 323, 264, 1648, 4741, 35007, 484, 612, 3489, 556, 198, 48567, 374, 264, 51263, 90031, 13, 1628, 369, 50794, 1198, 433, 649, 1101, 3152, 3339, 433, 459, 77109, 4676, 369, 682, 53243, 13, 1666, 584, 527, 743, 311, 1906, 30198, 323, 1050, 99340, 6187, 389, 6250, 220, 966, 339, 1198, 1070, 596, 264, 502, 2363, 430, 5992, 520, 430, 505, 279, 13356, 315, 47103, 33025, 15264, 13, 578, 2363, 374, 2663, 12424, 72, 70690, 0, 47103, 19878, 55180, 552, 25, 1556, 3298, 369, 1050, 99340, 323, 23853, 11151, 50422, 11930, 8231, 578, 16377, 11, 46612, 33249, 128001, 128000, 4599, 358, 5268, 459, 1989, 2447, 369, 856, 4236, 11, 358, 1781, 922, 1148, 502, 36018, 323, 13633, 7512, 814, 1436, 4048, 11, 1148, 502, 3772, 814, 1436, 1456, 11, 323, 1268, 814, 649, 4667, 311, 279, 3917, 13, 18156, 358, 6958, 22100, 505, 17649, 477, 8198, 13, 1115, 330, 43, 24705, 300, 304, 70288, 1, 18228, 11, 30464, 505, 264, 18682, 11746, 27565, 273, 18228, 11, 1047, 433, 682, 4999, 5451, 584, 15243, 922, 279, 2324, 323, 35032, 315, 279, 94776, 11, 8104, 279, 3700, 99712, 94776, 1131, 5269, 814, 527, 3854, 10099, 889, 1520, 12966, 11, 1268, 814, 57087, 994, 814, 527, 945, 33337, 323, 2503, 1523, 52496, 398, 994, 814, 527, 927, 11490, 5294, 291, 13, 358, 3309, 279, 6980, 358, 1005, 94776, 76916, 389, 856, 11012, 1606, 433, 596, 264, 2294, 330, 11099, 1189, 291, 1, 65391, 4999, 1687, 44664, 264, 94776, 13633, 304, 872, 26610, 12383, 13, 358, 3021, 430, 1690, 315, 279, 4236, 1071, 814, 24465, 1124, 682, 2046, 1317, 520, 2162, 13, 1226, 1243, 15243, 922, 13633, 323, 19354, 29862, 430, 24931, 279, 8071, 1139, 824, 47444, 8149, 439, 584, 24465, 1057, 6237, 3871, 11, 3094, 555, 3094, 11, 323, 4024, 927, 279, 5238, 449, 40361, 648, 13, 20783, 1051, 1949, 311, 923, 872, 1866, 2697, 3649, 11, 48679, 11, 323, 6308, 8146, 311, 3927, 553, 872, 990, 13, 1226, 1511, 6940, 64, 48669, 11, 902, 527, 4528, 311, 3090, 21712, 11, 389, 8987, 14523, 45039, 5684, 627, 24901, 11, 584, 330, 9034, 616, 3384, 1, 1057, 22563, 6945, 449, 52786, 259, 395, 2053, 13, 358, 3309, 1124, 430, 259, 81661, 28846, 374, 264, 330, 10888, 292, 3017, 1, 430, 279, 3700, 12328, 5493, 1053, 656, 311, 57681, 872, 9507, 29189, 13, 578, 18228, 3952, 1403, 220, 1954, 24401, 538, 18852, 13, 4343, 704, 279, 22245, 71, 4336, 3770, 627, 41, 484, 59642, 11, 6506, 612, 33315, 520, 11188, 6798, 19074, 11, 507, 2298, 13441, 11, 19461, 128001, 128000, 70429, 3979, 19195, 63877, 3573, 16040, 909, 374, 264, 21249, 3044, 1455, 17037, 30706, 311, 264, 11742, 68331, 304, 279, 8271, 13, 578, 5575, 449, 16191, 330, 327, 69597, 459, 2038, 43284, 1606, 279, 8271, 14865, 311, 4141, 704, 11741, 18133, 12434, 77549, 11, 459, 43284, 430, 22223, 279, 3927, 596, 25702, 11, 36695, 11, 323, 64908, 31301, 13, 16191, 374, 32971, 555, 459, 38550, 311, 5357, 323, 10519, 6666, 323, 279, 31954, 311, 387, 7701, 49804, 555, 3060, 83629, 477, 9302, 56688, 11, 477, 2225, 13, 27773, 750, 11, 279, 19823, 84332, 5196, 304, 2274, 12, 479, 750, 33781, 304, 54203, 323, 97879, 1968, 1, 320, 29518, 17680, 23336, 10229, 11, 220, 2550, 19, 4390, 37, 70941, 264, 5575, 596, 330, 12010, 6844, 734, 1359, 279, 5845, 311, 3197, 323, 31335, 11, 374, 11754, 13, 16191, 304, 12884, 1253, 477, 1253, 539, 387, 24895, 555, 17508, 7323, 3573, 1846, 19694, 39709, 2746, 264, 5575, 43394, 264, 22143, 11, 4546, 433, 311, 872, 6666, 627, 12978, 279, 5575, 1464, 1523, 279, 3465, 14, 31051, 1139, 7504, 323, 892, 58982, 627, 61524, 5361, 10708, 369, 4236, 311, 16136, 323, 264, 8205, 315, 9889, 12823, 627, 2746, 264, 5575, 43394, 264, 22143, 11, 4546, 433, 311, 872, 6666, 13, 1442, 279, 3575, 67145, 11, 8666, 449, 75368, 8471, 627, 12978, 279, 5575, 1464, 1523, 279, 3465, 14, 31051, 1139, 7504, 323, 892, 58982, 13, 10984, 61140, 279, 5575, 311, 990, 449, 21579, 46865, 38716, 311, 2274, 4007, 11, 892, 6373, 11, 323, 41295, 7512, 13, 25510, 311, 10765, 279, 5789, 315, 4007, 18480, 1659, 430, 527, 9200, 311, 279, 3388, 14, 15252, 13, 362, 5575, 449, 16191, 649, 2733, 43206, 555, 3544, 33776, 315, 3769, 1606, 814, 617, 17250, 25607, 8792, 22100, 323, 1401, 19476, 627, 61524, 5361, 10708, 369, 4236, 311, 16136, 11, 384, 1326, 13, 1912, 20954, 11, 6206, 10539, 7640, 11, 323, 5255, 44895, 13, 5560, 264, 8205, 315, 9889, 12823, 25, 83629, 11, 9302, 11, 323, 49069, 13, 3277, 3284, 11, 49806, 98122, 10666, 2038, 449, 264, 5439, 12399, 13, 1115, 374, 5423, 11190, 994, 7231, 11470, 627, 5618, 1650, 220, 11056, 12, 17408, 12, 23402, 15, 11, 2613, 2613, 36587, 916, 11, 477, 4034, 75368, 8471, 304, 68342, 8083, 220, 1041, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128001, 128000, 32, 502, 4007, 704, 315, 7008, 11, 5039, 12459, 66557, 7446, 649, 1520, 449, 4785, 4814, 627, 36500, 13690, 6821, 11, 330, 791, 8999, 56536, 7111, 520, 220, 1691, 14830, 19622, 16239, 220, 21251, 6822, 3026, 323, 3278, 11, 889, 5675, 459, 5578, 315, 220, 15, 13, 1958, 21647, 320, 15, 13, 2075, 16701, 8, 927, 4848, 5672, 449, 279, 5369, 315, 264, 3254, 13788, 315, 66557, 311, 279, 10173, 17223, 2085, 3339, 264, 4040, 5149, 311, 8108, 1023, 15657, 10246, 12978, 287, 1274, 4822, 2539, 5129, 1990, 21644, 320, 38241, 7731, 72, 2676, 8, 374, 264, 1401, 3777, 315, 1268, 66557, 1520, 449, 4785, 4814, 13, 7531, 19141, 323, 20343, 369, 7999, 810, 28334, 31665, 311, 701, 10173, 520, 8604, 558, 17660, 50185, 713, 916, 198, 626, 13, 8096, 596, 15429, 13, 330, 36, 1113, 27994, 11, 47136, 11, 31863, 375, 300, 477, 48907, 8839, 1253, 1520, 9229, 4785, 323, 2567, 433, 1022, 25, 3723, 19687, 323, 279, 12369, 323, 37963, 21021, 617, 24073, 220, 679, 21, 439, 279, 7327, 9941, 315, 35962, 9459, 1210, 10170, 44653, 13, 10170, 44653, 11, 220, 966, 5587, 220, 679, 21, 13, 8604, 516, 5979, 5886, 5179, 916, 59287, 14, 679, 21, 14, 2839, 14, 6330, 10568, 8878, 3192, 24165, 128001, 128000, 644, 279, 480, 9150, 11, 264, 1396, 315, 41582, 617, 1027, 17551, 369, 9341, 304, 279, 5654, 753, 50953, 12032, 13, 2684, 374, 264, 3831, 20862, 315, 5933, 5211, 9313, 11, 449, 5370, 36031, 323, 27512, 10396, 21760, 389, 29711, 11811, 311, 21813, 39678, 477, 18182, 31965, 54832, 13, 9176, 315, 1521, 11811, 527, 27762, 555, 279, 42688, 2442, 414, 2191, 7720, 315, 29711, 38737, 7100, 7720, 323, 4500, 13, 46661, 7402, 1157, 527, 1101, 5952, 3876, 430, 22538, 304, 50953, 12032, 11, 11951, 12690, 323, 3738, 11012, 323, 14362, 16115, 11, 649, 7945, 304, 36090, 1113, 279, 31959, 16296, 315, 11, 958, 453, 689, 11, 8987, 29592, 11, 70863, 16174, 323, 5370, 7739, 315, 25793, 13, 11208, 9293, 11618, 527, 52913, 61951, 3600, 1139, 21391, 9293, 11, 1070, 374, 3629, 459, 11720, 5357, 389, 4029, 7720, 315, 2886, 6147, 22538, 11, 2737, 18189, 1274, 596, 34104, 311, 12434, 8631, 323, 2579, 57881, 50953, 83057, 28088, 505, 93059, 13, 18185, 459, 33232, 71160, 311, 1778, 22538, 11, 502, 19092, 42356, 304, 12690, 11, 4029, 36536, 323, 65118, 311, 19780, 502, 26006, 527, 29991, 555, 20323, 30601, 902, 3629, 12617, 2875, 9860, 7100, 7447, 15532, 1778, 439, 3544, 20658, 26006, 505, 902, 59589, 649, 86659, 361, 3827, 7720, 627, 8538, 59589, 527, 9298, 4500, 40850, 439, 10708, 311, 33435, 65118, 323, 2886, 6147, 11, 323, 433, 374, 5199, 311, 23846, 40806, 9045, 1990, 879, 13707, 323, 3109, 11, 902, 8881, 264, 27927, 5054, 3634, 311, 1781, 22009, 922, 1268, 22538, 304, 50953, 12032, 649, 387, 70764, 323, 29759, 1555, 11782, 2532, 9889, 28904, 13, 128001, 128000, 4054, 315, 2380, 220, 4728, 15, 4771, 1403, 62166, 12678, 1766, 520, 364, 32, 258, 24855, 1394, 278, 627, 11874, 62166, 21444, 82, 617, 1027, 1766, 304, 10384, 11, 96664, 39260, 11, 57784, 11, 8569, 78215, 11, 364, 32, 258, 24855, 1394, 278, 11, 25672, 3320, 587, 320, 35767, 4298, 705, 323, 64105, 4306, 473, 107679, 320, 73819, 570, 4314, 1253, 4097, 409, 1385, 11, 39377, 38618, 11, 477, 409, 1908, 60996, 477, 68802, 13, 578, 24417, 527, 21771, 439, 5075, 9483, 354, 18080, 4275, 66470, 2863, 3620, 885, 72255, 279, 816, 269, 31529, 11, 279, 2010, 374, 27458, 439, 279, 10954, 315, 459, 3927, 753, 7718, 4907, 323, 1694, 627, 11874, 62166, 452, 74, 13532, 505, 279, 11650, 5545, 315, 54932, 320, 777, 339, 9478, 4390, 791, 1403, 62166, 21444, 82, 617, 72474, 304, 279, 4706, 5814, 315, 28497, 29913, 477, 52190, 288, 505, 4275, 66470, 3115, 13, 15344, 59002, 323, 3544, 1375, 30921, 9204, 1403, 14971, 527, 1766, 520, 4275, 66470, 64105, 4306, 473, 107679, 323, 25672, 3320, 587, 11, 323, 304, 96664, 39260, 323, 57784, 627, 2127, 84, 813, 7126, 753, 387, 53991, 2824, 789, 1461, 345, 3112, 48041, 7725, 11, 387, 3690, 26, 813, 4851, 574, 10409, 449, 16267, 627, 1548, 1903, 1461, 779, 4832, 430, 813, 10087, 2025, 574, 35717, 627, 1981, 13625, 1051, 813, 6548, 11, 3116, 1051, 813, 25212, 90578, 644, 2500, 14807, 512, 51928, 97188, 889, 2197, 354, 1461, 5602, 1461, 11, 568, 506, 495, 291, 2564, 369, 568, 5602, 430, 568, 574, 4832, 11, 323, 568, 56016, 813, 10087, 2025, 4696, 449, 3116, 6548, 369, 92659, 14254, 323, 3116, 25212, 11011, 682, 4696, 49216, 7009, 320, 26301, 4519, 8, 1051, 12266, 311, 3619, 320, 438, 8, 5107, 311, 57215, 627, 28070, 1051, 813, 6548, 11, 3116, 1051, 813, 25212, 627, 4599, 568, 7882, 813, 23726, 11, 4027, 1529, 28109, 13544, 627, 4959, 315, 813, 3116, 25212, 14264, 3544, 198, 3112, 320, 26301, 8, 6548, 39022, 11, 311, 1518, 4395, 13, 128001, 128000, 791, 1396, 315, 99740, 2473, 5157, 5068, 304, 73747, 81539, 374, 1523, 420, 1060, 7863, 311, 220, 679, 22, 13, 763, 220, 679, 22, 11, 264, 2860, 315, 220, 1032, 11, 20899, 24740, 5157, 315, 99740, 2473, 1051, 5068, 389, 279, 13218, 315, 73747, 81539, 25, 220, 1032, 11, 25091, 5157, 320, 16564, 220, 11068, 16779, 8, 304, 56290, 323, 220, 8259, 5157, 320, 16564, 220, 19, 16779, 8, 304, 279, 67113, 5545, 13, 2057, 2457, 304, 220, 679, 23, 11, 264, 2860, 315, 220, 18, 11, 10697, 24740, 99740, 2473, 5157, 617, 1027, 5068, 304, 73747, 81539, 11, 220, 4161, 4, 304, 56290, 627, 644, 56290, 11, 505, 279, 7314, 315, 279, 1060, 1555, 279, 1176, 2046, 304, 6250, 11, 220, 18, 11, 5037, 24740, 5157, 1051, 5068, 11, 2737, 220, 1806, 16779, 13, 578, 39775, 4478, 369, 220, 679, 23, 374, 220, 914, 13, 20, 5157, 824, 220, 1041, 11, 931, 7187, 11, 902, 374, 279, 15821, 12715, 39775, 2533, 279, 7314, 315, 279, 31188, 627, 644, 279, 67113, 5545, 1555, 5209, 12, 30649, 11, 220, 8190, 24740, 5157, 315, 99740, 2473, 1051, 5068, 11, 14393, 459, 39775, 4478, 315, 220, 16, 13, 4103, 5157, 824, 220, 1041, 11, 931, 7187, 26, 420, 39775, 4478, 374, 7191, 1109, 279, 39775, 4478, 5068, 369, 279, 1890, 4261 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 304, 220, 679, 22, 320, 16, 13, 3391, 5157, 824, 220, 1041, 11, 931, 7187, 570, 5046, 279, 5157, 5068, 420, 1060, 11, 220, 2813, 4, 320, 77, 28, 220, 4044, 8, 8024, 311, 459, 31188, 430, 11754, 279, 17271, 315, 17565, 8968, 1990, 5887, 323, 6287, 220, 679, 23, 13, 763, 220, 679, 23, 11, 832, 4648, 706, 1027, 5068, 5552, 311, 279, 31188, 304, 279, 17271, 315, 17565, 8968, 627, 12, 40409, 4007, 25, 25531, 264, 20236, 6689, 11293, 264, 20895, 5333, 753, 5326, 315, 1694, 70340, 198, 12, 13134, 6985, 5157, 1948, 220, 7467, 304, 6457, 11, 27286, 9815, 369, 7154, 832, 4948, 198, 12, 8494, 25, 16998, 6401, 4360, 445, 1601, 689, 10163, 369, 5554, 3078, 579, 320, 1395, 830, 340, 12, 18589, 261, 753, 69393, 25, 59250, 2274, 220, 18, 3502, 12, 16, 25474, 198, 12, 93223, 21816, 649, 9041, 36772, 418, 511, 92411, 69329, 68, 24032, 25, 19723, 198, 12, 386, 12055, 5157, 5068, 304, 3907, 315, 14972, 4236, 198, 12, 11904, 2064, 483, 34653, 25, 47474, 52, 12074, 10968, 389, 23351, 279, 9041, 323, 27252, 433, 505, 19261, 279, 549, 815, 13, 128001, 128000, 40413, 449, 45396, 20817, 57094, 388, 323, 4488, 388, 198, 78880, 1396, 551, 220, 11242, 17, 198, 41092, 315, 9526, 198, 791, 9526, 5039, 430, 584, 649, 3449, 279, 28015, 2515, 24442, 279, 3721, 96649, 315, 67849, 994, 4477, 449, 24915, 320, 36298, 388, 8, 477, 18991, 449, 459, 27513, 15769, 23185, 627, 30930, 388, 11, 477, 24915, 304, 4689, 11, 527, 3196, 389, 279, 3851, 315, 27513, 1555, 264, 94761, 69448, 11813, 13, 763, 279, 3347, 11, 279, 17509, 3777, 315, 27513, 574, 82688, 17055, 7063, 47620, 1778, 439, 311, 10036, 1994, 477, 865, 64651, 26, 1510, 304, 2857, 527, 3196, 389, 13200, 11, 1778, 439, 220, 16, 10039, 857, 337, 11, 220, 16, 70896, 39710, 477, 46858, 3145, 627, 6153, 3851, 389, 5684, 11, 279, 13200, 3777, 315, 27513, 19019, 60150, 988, 11, 14718, 264, 2254, 18979, 304, 9499, 520, 279, 2035, 315, 3851, 627, 16992, 320, 30035, 13, 220, 16, 340, 1016, 18558, 32758, 6382, 11, 5684, 11, 11415, 261, 477, 1023, 11381, 627, 8300, 264, 6211, 320, 51151, 11, 6661, 33674, 389, 264, 5684, 323, 23846, 433, 449, 264, 29487, 32758, 6382, 627, 32, 6992, 9526, 374, 36762, 304, 2835, 912, 13, 220, 16, 3770, 13, 763, 279, 7634, 1405, 279, 11415, 261, 24891, 279, 5684, 11, 2254, 9499, 18979, 13980, 4245, 311, 3721, 96649, 627, 644, 20646, 420, 2835, 11, 29487, 32758, 6382, 13062, 2871, 602, 22, 574, 1511, 13, 578, 9499, 2134, 315, 12745, 13155, 574, 12146, 304, 279, 10074, 505, 220, 914, 37386, 34, 311, 220, 843, 37386, 34, 11, 99763, 1968, 574, 60247, 284, 220, 15, 13, 2721, 627, 5519, 539, 2231, 701, 1450, 389, 279, 5684, 994, 16785, 420, 9526, 1389, 433, 1053, 1893, 264, 8369, 7858, 389, 279, 5684, 11, 902, 1053, 38339, 279, 21091, 2515, 627, 791, 9526, 649, 1101, 387, 10887, 1701, 3090, 6108, 24915, 26, 279, 28015, 2515, 374, 4869, 2753, 35947, 627, 93114, 10887, 9526, 1701, 27513, 15769, 23185, 198, 2127, 79283, 9526, 649, 387, 10887, 449, 459, 27513, 15769, 23185, 13, 578, 23185, 14861, 279, 17124, 5684, 449, 264, 6324, 315, 14812, 1389, 27513, 449, 264, 12435, 12745, 13, 578, 13651, 315, 27513, 902, 374, 539, 42101, 555, 279, 5684, 60150, 988, 1306, 18991, 279, 1890, 1648, 439, 449, 279, 3721, 96649, 315, 13200, 304, 279, 9526, 3485, 13, 1115, 11384, 264, 2254, 9499, 18979, 13, 69356, 220, 17, 323, 220, 18, 1501, 264, 50999, 17124, 2199, 3970, 555, 264, 7528, 6382, 323, 555, 29487, 32758, 6382, 627, 78880, 449, 279, 23185, 2011, 387, 11953, 704, 7214, 1306, 279, 2199, 374, 17124, 26, 433, 374, 8965, 70668, 311, 5268, 264, 5497, 449, 8294, 1194, 3158, 320, 1962, 2678, 1495, 449, 4725, 1404, 315, 220, 717, 3585, 8, 323, 743, 279, 23185, 311, 7340, 1194, 4367, 1389, 2225, 315, 1521, 11193, 690, 5376, 279, 3392, 315, 27513, 430, 649, 60150, 349, 13, 128001, 128000, 6153, 810, 1109, 264, 9478, 315, 13076, 2065, 11, 711, 97893, 11, 323, 3544, 5569, 30029, 11, 33776, 315, 37647, 45612, 304, 279, 16975, 617, 41482, 311, 3335, 5990, 539, 3970, 304, 2380, 3610, 1667, 14718, 279, 25885, 31636, 10604, 13, 31636, 10604, 374, 279, 27409, 4360, 315, 1057, 892, 323, 584, 527, 520, 264, 27409, 4545, 11693, 32931, 9282, 12912, 430, 40250, 3691, 5788, 50318, 11455, 13935, 2461, 11, 43848, 802, 26636, 9581, 10054, 311, 16448, 9581, 5990, 430, 5376, 279, 5326, 315, 54677, 39262, 11, 279, 25949, 315, 10182, 2349, 527, 3728, 304, 7036, 323, 31069, 304, 5569, 11829, 5915, 374, 311, 8108, 1057, 34104, 311, 279, 28856, 6372, 315, 10182, 2349, 555, 3815, 1057, 961, 315, 279, 2683, 627, 83146, 2349, 3250, 1431, 60541, 11, 22223, 16470, 13, 2684, 753, 539, 832, 961, 315, 279, 24867, 430, 753, 539, 1694, 11754, 555, 420, 15350, 1193, 387, 459, 1860, 13111, 97733, 461, 11, 719, 1524, 584, 617, 311, 1427, 520, 1268, 311, 8108, 430, 12782, 43972, 315, 1148, 358, 656, 13, 584, 1205, 311, 4018, 1203, 389, 3254, 1005, 68386, 25, 1093, 3090, 16893, 11, 264, 9501, 31107, 11, 323, 810, 57340, 11919, 3956, 13, 1226, 1205, 311, 1456, 311, 1505, 1884, 2697, 2574, 430, 584, 649, 656, 439, 459, 3927, 11, 311, 1520, 279, 41329, 315, 279, 11841, 439, 264, 4459, 13, 128001, 128000, 45606, 482, 15356, 76, 41874, 198, 2181, 374, 5995, 311, 617, 4279, 2038, 3634, 902, 1053, 3504, 32083, 304, 279, 426, 1415, 82, 5654, 320, 5581, 3566, 29654, 11, 369, 3187, 570, 12220, 279, 1920, 315, 44114, 32083, 3600, 11, 2204, 4595, 315, 2038, 527, 1511, 1389, 13970, 5070, 11, 3148, 3772, 11, 8427, 5070, 11, 279, 8191, 11, 4443, 10758, 11, 43749, 323, 3885, 13, 763, 4689, 11, 279, 2038, 374, 12457, 29235, 13, 2468, 279, 1890, 892, 11, 6996, 315, 2038, 374, 6646, 832, 315, 279, 1455, 7718, 5435, 315, 7364, 20197, 13, 2684, 374, 1790, 2038, 11, 719, 433, 374, 38067, 26, 1070, 374, 912, 4279, 2038, 3634, 389, 279, 735, 8083, 50714, 13, 1789, 4500, 315, 32083, 11351, 11, 433, 374, 5995, 311, 617, 2038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 922, 16627, 3600, 11, 44797, 1385, 315, 32083, 3600, 19705, 304, 1023, 5961, 323, 29564, 828, 42852, 279, 4500, 315, 386, 5604, 32083, 13, 14986, 20197, 1205, 264, 1887, 315, 4967, 7620, 449, 5357, 389, 279, 15481, 18651, 627, 66843, 5983, 315, 32083, 5220, 9932, 430, 1054, 12840, 6873, 649, 4284, 603, 374, 11084, 4967, 304, 6498, 11, 5542, 826, 389, 1268, 311, 8854, 8403, 11, 18057, 279, 8403, 529, 18651, 11, 1304, 4495, 63903, 20274, 779, 430, 814, 35516, 5694, 113068, 791, 2134, 315, 3966, 512, 12, 68502, 315, 6498, 4221, 58266, 320, 1610, 30920, 279, 49449, 315, 6721, 7640, 25, 28292, 11, 24925, 5687, 11, 1948, 20258, 315, 32083, 5220, 11, 9689, 20258, 11, 10960, 20258, 323, 3885, 627, 12, 68276, 315, 8661, 7640, 320, 105516, 315, 15987, 2038, 922, 279, 7187, 753, 3966, 304, 279, 14509, 32083, 3600, 8, 11705, 279, 1205, 304, 9678, 29217, 323, 63903, 20274, 315, 279, 3600, 304, 1205, 627, 12, 68276, 315, 10758, 31018, 323, 4500, 315, 958, 66, 44547, 10758, 7512, 627, 12, 1102, 374, 5995, 311, 6920, 704, 15983, 5848, 16967, 11, 20034, 520, 279, 32083, 5064, 627, 12, 578, 2237, 315, 2561, 2038, 4315, 14971, 323, 8420, 315, 32083, 11351, 922, 279, 1614, 315, 32083, 26436, 627, 12, 14998, 304, 19015, 449, 6625, 8717, 627, 12, 452, 4093, 488, 304, 11084, 4967, 7978, 627, 12, 1102, 374, 5995, 311, 617, 1887, 266, 1534, 2038, 922, 279, 5654, 753, 7631, 304, 386, 5604, 59392, 13, 128001, 128000, 46, 81937, 22012, 527, 2204, 505, 3469, 4512, 95059, 323, 3469, 9818, 304, 872, 4967, 323, 304, 1148, 814, 649, 58681, 323, 4322, 627, 2170, 264, 6593, 10896, 11, 459, 297, 81937, 16549, 374, 16383, 311, 6725, 16088, 323, 15173, 13, 1283, 477, 1364, 85488, 323, 32839, 682, 8071, 19338, 11, 27772, 8071, 15173, 11, 323, 1685, 56236, 323, 18809, 29247, 323, 3729, 36057, 627, 12, 3116, 1667, 315, 7926, 198, 12, 3116, 1667, 315, 6593, 2978, 198, 12, 832, 1060, 315, 60859, 198, 12, 520, 3325, 2380, 1667, 315, 53966, 320, 71127, 6108, 4967, 8, 304, 279, 23842, 323, 6593, 323, 34933, 6514, 315, 24673, 315, 279, 8071, 198, 8142, 682, 297, 81937, 22012, 48444, 304, 8071, 5435, 323, 649, 4322, 682, 4787, 11, 1063, 10491, 311, 37455, 304, 264, 3230, 3158, 315, 6593, 477, 34933, 8071, 2512, 13, 4314, 297, 81937, 22012, 527, 2663, 1207, 93348, 1705, 13, 2435, 6118, 4686, 264, 63349, 11, 902, 7612, 832, 477, 1403, 810, 1667, 315, 4967, 304, 279, 12146, 3158, 13, 4427, 5258, 3037, 1705, 5357, 389, 279, 6514, 315, 264, 8624, 11, 1778, 439, 2840, 2933, 82945, 13, 26080, 1207, 48444, 304, 264, 4040, 961, 315, 279, 8071, 11, 1778, 439, 279, 84827, 13, 95936, 297, 81937, 22012, 1207, 48444, 304, 27723, 8071, 8624, 304, 2911, 627, 2127, 3469, 4512, 2889, 374, 264, 10896, 315, 3469, 7133, 11, 16383, 311, 6725, 3469, 7133, 13, 16963, 4512, 95059, 8417, 279, 1205, 369, 29247, 323, 3729, 36057, 11, 72333, 29393, 27358, 11, 323, 4264, 369, 75815, 315, 279, 8071, 13, 2435, 9604, 1403, 311, 3116, 1667, 315, 7926, 323, 3116, 1667, 315, 3469, 7133, 2978, 627, 644, 1063, 5415, 11, 3469, 4512, 95059, 649, 72333, 3738, 13124, 315, 11217, 311, 1520, 58681, 323, 4322, 1063, 8071, 4787, 13, 16963, 4512, 95059, 8965, 656, 539, 2804, 15173, 627, 2127, 3469, 12734, 374, 16383, 555, 279, 1614, 311, 1304, 29393, 52797, 13, 1283, 477, 1364, 18809, 11, 84431, 11, 323, 13262, 4377, 3999, 797, 34968, 11, 3729, 36057, 11, 323, 1023, 29393, 7766, 4184, 311, 279, 22866, 315, 264, 16383, 297, 81937, 16549, 477, 3469, 4512, 2889, 13, 16543, 369, 3469, 9818, 35327, 505, 264, 864, 15709, 5383, 311, 1403, 1667, 315, 3469, 12734, 894, 2978, 13, 128001, 128000, 31916, 11513, 4469, 94571, 579, 11, 459, 8671, 67, 27620, 8111, 439, 264, 1933, 1752, 6962, 449, 264, 281, 2234, 306, 85077, 54097, 13, 4563, 3714, 535, 13, 1283, 31748, 1109, 3805, 13, 393, 1098, 647, 291, 14675, 311, 4027, 477, 19428, 8798, 1253, 1121, 304, 279, 16806, 89869, 323, 25294, 287, 315, 279, 5593, 13, 5843, 9860, 14675, 311, 3428, 32466, 477, 2875, 9860, 14675, 311, 1579, 32466, 649, 1121, 304, 31959, 2890, 6372, 505, 77773, 367, 13, 12477, 311, 1304, 1023, 26333, 323, 439, 264, 51483, 304, 279, 30847, 315, 26333, 13, 20359, 315, 42080, 25, 81410, 65336, 25, 42099, 311, 4207, 25578, 269, 12447, 25, 220, 17, 64697, 8922, 63372, 14, 1605, 31397, 25, 36424, 15266, 5064, 26, 1633, 46657, 535, 13, 128001, 128000, 2170, 10182, 2349, 9731, 311, 7958, 1057, 6439, 11, 279, 10977, 520, 279, 18671, 69971, 315, 1057, 1917, 617, 32126, 279, 4442, 1455, 66278, 13, 763, 279, 37518, 11, 1405, 10182, 2349, 374, 50684, 824, 99161, 42602, 323, 14718, 3682, 99164, 58097, 11, 8870, 10977, 304, 28366, 323, 18671, 7008, 527, 8104, 20134, 13, 24296, 11, 1521, 10977, 617, 7347, 2680, 311, 20314, 57449, 323, 11984, 78612, 4907, 7194, 39661, 389, 33880, 44163, 13, 6104, 1063, 10977, 617, 3940, 311, 33435, 33268, 4907, 1139, 872, 13824, 10145, 323, 33889, 11, 5208, 706, 8965, 1027, 7347, 449, 279, 28289, 4788, 315, 7008, 753, 40505, 87443, 323, 1063, 35335, 10977, 304, 19001, 28366, 13, 12220, 1202, 5652, 61808, 439, 10716, 315, 279, 37518, 9251, 11, 279, 3723, 4273, 33740, 4029, 33268, 4907, 304, 279, 37518, 439, 832, 315, 1202, 6156, 9021, 13, 1115, 7181, 24400, 389, 23331, 323, 15325, 4947, 10105, 311, 1304, 430, 5915, 3284, 13, 1102, 27741, 389, 10507, 505, 13076, 1534, 5961, 11, 1778, 439, 7008, 323, 279, 3723, 15422, 11, 439, 1664, 439, 10507, 505, 11469, 5961, 11, 1778, 439, 6890, 323, 48847, 11, 311, 21635, 10105, 369, 279, 11156, 11, 7100, 11, 23331, 11, 323, 4029, 20392, 5435, 430, 37518, 10977, 304, 28366, 3663, 994, 6376, 709, 502, 4907, 7224, 13, 23212, 11, 420, 7181, 16964, 279, 1510, 5054, 6070, 315, 1708, 79451, 33889, 1234, 279, 28366, 17118, 51198, 70148, 3298, 323, 29633, 430, 28366, 17118, 11095, 811, 1288, 1514, 264, 3560, 304, 11469, 4335, 11, 12136, 4907, 8336, 369, 872, 41777, 13, 17830, 11, 420, 7181, 29633, 430, 586, 66377, 40705, 11, 1093, 279, 2536, 28926, 37518, 12634, 23590, 304, 279, 40505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 87443, 11, 5039, 430, 4335, 11, 33268, 4907, 7224, 369, 19624, 37518, 33889, 527, 3284, 6957, 279, 37518, 13, 1115, 7181, 27741, 18872, 505, 1023, 10977, 6957, 279, 1917, 323, 13865, 311, 3881, 1124, 311, 279, 5016, 15082, 430, 8870, 18671, 28366, 10977, 3663, 9002, 2680, 311, 4335, 11, 33268, 4907, 627, 50461, 21042, 78402, 11, 52624, 4821, 17740, 311, 93438, 12634, 25003, 304, 279, 4892, 3778, 37518, 11, 220, 1758, 28366, 7658, 10506, 220, 3080, 12, 7322, 320, 679, 23, 340, 16892, 520, 25, 3788, 1129, 21740, 7569, 5383, 929, 675, 962, 10647, 12871, 53220, 81, 5574, 337, 1758, 14, 1056, 16, 14, 19, 128001, 128000, 29132, 9498, 18311, 11, 98754, 11, 323, 11013, 374, 7718, 369, 264, 1695, 4367, 315, 2324, 13, 10541, 433, 374, 459, 4360, 430, 1690, 1253, 1935, 369, 11938, 11, 433, 374, 1633, 3062, 311, 1935, 1063, 2512, 627, 15571, 29106, 2890, 539, 1193, 12716, 37637, 7720, 719, 1101, 8779, 5471, 26588, 31815, 11, 30020, 11, 323, 4261, 546, 278, 19338, 11, 902, 4184, 311, 279, 4435, 6401, 21021, 7958, 220, 508, 4, 315, 6278, 57859, 12884, 320, 1758, 12, 2096, 1667, 8, 323, 1101, 304, 1202, 1455, 6129, 18094, 649, 3063, 311, 4814, 315, 18311, 13, 54501, 19338, 649, 387, 32098, 1555, 2890, 323, 53056, 26870, 430, 2011, 387, 44664, 7446, 627, 791, 12939, 315, 3515, 1695, 21308, 2890, 5900, 7953, 1202, 37637, 734, 315, 3515, 264, 6366, 15648, 13, 578, 11013, 706, 264, 4101, 315, 1633, 3062, 24156, 5865, 439, 961, 315, 279, 60071, 1887, 11, 369, 279, 88465, 315, 3691, 304, 1057, 2547, 11, 323, 304, 3823, 10758, 1555, 51923, 367, 627, 15571, 21308, 2890, 8779, 603, 311, 7417, 1057, 659, 65906, 9523, 311, 1202, 22599, 304, 279, 15648, 323, 304, 15962, 10758, 449, 3885, 13, 1952, 279, 1023, 1450, 11, 9498, 323, 3831, 18311, 1304, 433, 8831, 311, 37433, 323, 42276, 3691, 627, 35, 3978, 323, 26870, 198, 16, 12898, 11359, 264, 9498, 10173, 9257, 304, 14098, 323, 24822, 430, 1520, 311, 20259, 323, 6144, 279, 18311, 323, 98754, 13, 44925, 323, 1202, 43645, 3493, 603, 449, 35719, 323, 33088, 30969, 11, 7718, 5540, 369, 18311, 627, 17, 12898, 53253, 279, 11900, 323, 3392, 315, 70913, 11, 5423, 1990, 21644, 627, 18, 12898, 35106, 27531, 430, 539, 1193, 63563, 279, 18311, 719, 1101, 37167, 279, 46835, 315, 45915, 277, 11, 304, 5369, 311, 34446, 98754, 323, 11, 315, 3388, 11, 1057, 2890, 627, 31916, 43312, 369, 1695, 21308, 2890, 198, 19, 12898, 34088, 279, 18311, 323, 279, 2800, 315, 279, 21308, 56429, 15884, 369, 220, 17, 477, 220, 18, 4520, 11, 520, 3325, 220, 17, 3115, 264, 1938, 11, 52754, 1306, 21644, 323, 1603, 2133, 311, 4950, 627, 20, 12898, 5560, 29106, 282, 9563, 477, 958, 67, 6430, 62726, 311, 4148, 3691, 71783, 323, 29106, 17332, 31255, 304, 12908, 82828, 311, 62726, 627, 21, 12898, 12362, 11013, 86, 14380, 1306, 1855, 77826, 11, 902, 73633, 2680, 311, 1884, 5789, 315, 279, 11013, 430, 279, 15998, 1587, 539, 5662, 13750, 323, 8779, 603, 311, 617, 1695, 11745, 13, 432, 1354, 287, 701, 11013, 11157, 264, 1938, 369, 264, 2478, 4520, 374, 14343, 627, 22, 12898, 34088, 287, 279, 25466, 520, 3325, 3131, 264, 1938, 60944, 279, 24032, 430, 11, 304, 220, 1272, 13689, 47376, 389, 1202, 7479, 627, 23, 12898, 10604, 1057, 15998, 520, 3325, 1475, 2380, 4038, 627, 24, 12898, 3234, 539, 4430, 279, 26588, 37161, 311, 5766, 3284, 30020, 304, 1162, 315, 19338, 627, 605, 12898, 24119, 1005, 33400, 26588, 57968, 323, 97139, 288, 13, 578, 5873, 690, 6904, 389, 1057, 3966, 719, 433, 374, 3062, 430, 814, 6782, 459, 26613, 3392, 315, 89230, 627, 806, 12898, 7811, 5977, 264, 50351, 520, 3325, 11157, 264, 1060, 690, 1520, 603, 5766, 57709, 1385, 323, 1023, 21308, 5435, 11, 27252, 15635, 304, 279, 3938, 13, 1283, 690, 1101, 32113, 603, 389, 1268, 311, 6920, 704, 6300, 21308, 53056, 627, 717, 12898, 1442, 499, 527, 20895, 11, 6144, 6261, 505, 57709, 1385, 439, 872, 5326, 315, 32659, 12992, 2391, 20209, 4245, 311, 279, 33969, 430, 527, 9124, 4245, 311, 63571, 11, 902, 527, 21420, 5423, 304, 279, 1176, 4038, 315, 20209, 13, 2684, 374, 1101, 264, 7191, 95323, 311, 67193, 344, 20000, 2391, 279, 13033, 1697, 4261, 11, 779, 433, 374, 7701, 11349, 311, 8891, 279, 3044, 315, 279, 98754, 323, 733, 369, 264, 5912, 1817, 5352, 449, 701, 50351, 13, 128001, 128000, 4599, 374, 4435, 72379, 6187, 28284, 5380, 2675, 617, 14333, 279, 2653, 14098, 449, 1202, 3090, 323, 10206, 6957, 13, 1102, 706, 3779, 281, 5118, 6709, 311, 701, 36105, 323, 37109, 701, 70855, 13, 7566, 0, 358, 1097, 7556, 922, 34557, 13, 3234, 499, 1440, 430, 1070, 374, 264, 1938, 8967, 369, 32689, 420, 13053, 9373, 14098, 30, 3011, 753, 1314, 6250, 220, 17, 303, 374, 28284, 439, 279, 4435, 72379, 6187, 627, 791, 11346, 315, 4435, 72379, 6187, 198, 791, 4435, 72379, 6187, 574, 1176, 13468, 389, 6250, 220, 17, 11, 220, 1049, 24, 13, 1102, 574, 459, 13402, 311, 18890, 279, 7195, 315, 279, 14875, 323, 16867, 72379, 12332, 11, 902, 43653, 17985, 922, 15919, 315, 34557, 13, 763, 2144, 11, 304, 279, 13936, 64976, 5654, 34557, 374, 15042, 304, 682, 4595, 315, 99107, 17614, 13, 6104, 52129, 315, 34557, 374, 539, 5107, 11, 433, 6118, 21300, 279, 6506, 264, 44877, 24322, 311, 4662, 323, 2543, 1139, 1695, 8515, 477, 1005, 439, 4766, 481, 14098, 627, 791, 90196, 9824, 72379, 198, 4897, 72379, 374, 264, 9257, 14098, 2539, 315, 66627, 374, 539, 9987, 13, 36625, 304, 6890, 11, 34557, 706, 264, 10597, 26431, 323, 374, 1511, 439, 459, 10209, 304, 57679, 13, 1472, 3629, 1518, 48772, 288, 15061, 279, 34557, 520, 279, 51943, 311, 636, 279, 56650, 315, 279, 4359, 13, 52624, 315, 279, 34557, 374, 36396, 311, 14770, 315, 279, 3451, 1494, 309, 11755, 529, 477, 37374, 315, 264, 1732, 323, 374, 11846, 311, 1888, 363, 1695, 15369, 323, 279, 56650, 315, 279, 4359, 13, 7429, 11, 420, 14098, 753, 2380, 15785, 389, 1202, 2010, 527, 27458, 279, 6548, 315, 10425, 1443, 10126, 13, 72379, 374, 11, 9093, 11, 6646, 264, 3451, 33, 33607, 1083, 529, 323, 83078, 6586, 520, 1063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7634, 627, 32, 19641, 2539, 315, 5070, 198, 10267, 603, 1457, 15806, 1148, 3727, 34557, 779, 5526, 13, 8489, 11, 279, 26000, 315, 279, 14098, 374, 2539, 315, 37493, 13, 578, 3090, 4871, 374, 264, 5933, 7172, 902, 539, 1193, 1080, 3145, 279, 2547, 719, 374, 1101, 264, 5933, 27208, 369, 26587, 19338, 323, 3273, 87, 31419, 1590, 13, 2360, 961, 315, 279, 34557, 5021, 5900, 12571, 13, 578, 2653, 16178, 417, 1304, 369, 1695, 98895, 323, 527, 1511, 439, 36952, 5510, 13, 47993, 11, 814, 1051, 1101, 1511, 439, 10633, 13, 578, 11141, 1304, 1695, 430, 28075, 369, 305, 6256, 323, 279, 55972, 4401, 304, 1990, 8310, 315, 11141, 374, 1511, 369, 3339, 2967, 316, 34240, 13, 3639, 810, 649, 832, 1390, 505, 264, 3254, 19641, 30, 128001, 128000, 2028, 1376, 315, 8624, 1253, 6904, 389, 904, 5353, 259, 2518, 311, 8356, 23948, 477, 304, 1335, 315, 279, 23152, 11, 477, 61051, 304, 279, 87067, 315, 89385, 23661, 477, 73394, 13, 1102, 374, 6118, 18677, 449, 6784, 1306, 12459, 11, 2853, 13071, 11, 991, 582, 7246, 11, 1400, 292, 11, 326, 785, 434, 315, 31739, 11, 83400, 269, 11, 5099, 627, 791, 13803, 24096, 420, 1376, 315, 8624, 1253, 387, 51512, 555, 16088, 11, 719, 279, 27208, 649, 7636, 387, 89589, 555, 6300, 10173, 323, 10368, 13, 578, 7294, 1773, 1065, 375, 27330, 7019, 12601, 690, 48839, 279, 6784, 323, 36366, 2136, 315, 279, 23152, 1306, 12459, 26, 26153, 2360, 13, 220, 17, 323, 65246, 1288, 387, 1511, 369, 279, 2853, 13071, 11, 323, 264, 3388, 315, 16088, 23781, 11, 311, 2571, 1022, 279, 4411, 21301, 15783, 7607, 11, 323, 51077, 279, 2204, 36853, 311, 1957, 13, 578, 10173, 1288, 387, 4382, 11, 31526, 15600, 11, 11033, 11, 14432, 11, 36167, 11, 323, 1005, 719, 2697, 13339, 315, 904, 3169, 13, 578, 50347, 34153, 16385, 374, 832, 315, 279, 1633, 1888, 9908, 315, 3691, 304, 279, 12458, 13, 13625, 477, 4330, 4207, 6, 4642, 10368, 304, 279, 1825, 3805, 1288, 387, 4529, 1475, 1938, 11, 323, 279, 4459, 2547, 9061, 291, 304, 9439, 3090, 1475, 6693, 11, 8272, 555, 75491, 39676, 449, 264, 50347, 43713, 13, 36378, 306, 661, 30747, 1288, 387, 2728, 709, 11, 323, 1884, 810, 304, 18859, 449, 279, 7016, 315, 7138, 63196, 13, 128001, 128000, 1383, 1443, 27793, 328, 569, 277, 5736, 19931, 287, 459, 62283, 539, 1120, 19813, 311, 7999, 95461, 1139, 279, 13192, 11, 719, 433, 374, 3117, 810, 1109, 430, 13, 65658, 398, 13205, 80249, 374, 1633, 5505, 13, 1115, 2678, 3094, 8779, 5766, 4279, 5435, 1093, 927, 13787, 287, 11, 3090, 68331, 11, 28533, 369, 39543, 11, 323, 8631, 304, 95461, 323, 6835, 701, 13192, 264, 9498, 323, 6380, 4676, 13, 1628, 1274, 31805, 420, 719, 3010, 617, 311, 22118, 279, 3485, 5435, 2949, 2478, 2919, 1306, 7999, 279, 7795, 627, 4516, 1618, 1268, 311, 923, 279, 1314, 3974, 5708, 1139, 459, 62283, 512, 791, 5742, 315, 17019, 288, 198, 10438, 499, 1212, 80249, 499, 1053, 1093, 311, 1440, 1268, 1690, 95461, 649, 5052, 1139, 701, 13192, 2085, 927, 13787, 287, 13, 5810, 527, 1063, 2574, 311, 2980, 512, 12, 11359, 279, 220, 16, 17560, 824, 50680, 7795, 6037, 13, 1442, 264, 7795, 374, 220, 16, 832, 17560, 304, 1404, 11, 433, 3966, 17715, 220, 16, 50680, 14, 18, 7080, 627, 12, 21829, 1268, 2466, 279, 7795, 690, 636, 439, 892, 16609, 13, 9086, 279, 78064, 28953, 13075, 3139, 520, 1455, 220, 16, 13, 20, 15271, 11, 20444, 6590, 491, 21168, 649, 636, 709, 311, 220, 21, 15271, 1317, 13, 36530, 11, 499, 649, 923, 810, 28953, 13075, 1109, 46968, 304, 279, 1890, 13192, 627, 12, 26257, 3403, 3634, 311, 16587, 824, 7795, 627, 12, 12040, 1139, 18361, 279, 3634, 430, 1053, 387, 4529, 709, 555, 48679, 11, 11012, 11, 23902, 11, 5099, 627, 12, 578, 11493, 279, 95461, 690, 636, 11, 279, 810, 5066, 24269, 3634, 814, 690, 1205, 627, 13699, 1306, 7999, 279, 7795, 11, 499, 649, 15884, 23846, 3508, 1855, 7795, 374, 10882, 24269, 1555, 279, 13192, 627, 8607, 95461, 16587, 520, 264, 4040, 961, 315, 279, 13192, 13, 578, 3090, 13918, 304, 264, 13192, 527, 279, 5740, 11852, 11, 12877, 11852, 11, 323, 7054, 11852, 7795, 13, 578, 95461, 33152, 311, 279, 4040, 2237, 690, 8493, 1455, 315, 872, 892, 304, 430, 5654, 13, 2100, 433, 374, 3062, 430, 279, 13192, 706, 279, 95461, 505, 420, 4040, 2237, 11, 323, 539, 1790, 95461, 527, 2231, 3871, 304, 279, 1890, 2237, 627, 37, 21168, 16587, 520, 904, 2237, 512, 12, 1901, 51313, 9279, 3614, 198, 12, 16870, 88, 3703, 1302, 1161, 54376, 340, 12, 37343, 9279, 3614, 198, 9673, 95461, 649, 387, 3779, 304, 2678, 33776, 323, 690, 2567, 24269, 6957, 279, 13192, 627, 791, 1948, 11852, 706, 279, 3325, 20841, 11, 779, 499, 1436, 923, 810, 70467, 9606, 1618, 13, 11205, 65609, 527, 8965, 36941, 13176, 13, 2435, 8965, 527, 97733, 4692, 323, 1288, 387, 2728, 1579, 13128, 10173, 13, 7429, 11, 1521, 95461, 527, 8965, 1579, 7940, 388, 13, 328, 39095, 78352, 11, 28533, 477, 8631, 649, 1304, 1124, 7940, 1579, 323, 649, 2586, 704, 315, 279, 13192, 11, 779, 264, 27431, 374, 12090, 627, 12, 13315, 2629, 7795, 627, 12, 480, 95847, 13, 320, 82, 54376, 340, 45035, 49807, 6427, 95461, 512, 2028, 5699, 706, 264, 6908, 8205, 323, 374, 4228, 311, 5268, 505, 13, 2435, 8493, 1455, 315, 872, 892, 304, 279, 4219, 3330, 11, 323, 8617, 1288, 387, 34966, 477, 1288, 617, 1695, 14, 9782, 1913, 21483, 13, 578, 1888, 5209, 1773, 86, 6427, 7795, 374, 279, 7568, 491, 819, 11, 902, 3727, 279, 91853, 315, 904, 62283, 13, 4314, 617, 4382, 1933, 12912, 11, 449, 872, 5016, 1913, 6211, 323, 78462, 24269, 1742, 13, 1472, 649, 1373, 922, 1124, 810, 1618, 25, 23950, 95461, 13, 32944, 449, 420, 68721, 7795, 527, 12090, 439, 814, 1893, 264, 1695, 13168, 449, 279, 34426, 7795, 753, 6435, 24269, 627, 12, 78064, 28953, 13075, 19917, 3325, 220, 605, 10, 340, 12, 36845, 3703, 1302, 627, 2028, 5764, 95461, 430, 8493, 7795, 315, 872, 892, 520, 279, 5740, 13, 11205, 65609, 527, 8965, 52497, 13, 1628, 814, 1205, 3361, 62193, 78420, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7570, 3582, 1694, 520, 279, 5740, 11, 814, 3719, 264, 33689, 5369, 311, 279, 13192, 13, 9176, 315, 1124, 2997, 279, 16204, 13941, 95461, 11, 902, 8343, 709, 68951, 11, 477, 6316, 13827, 3691, 304, 279, 13192, 13, 2758, 1124, 304, 904, 26951, 8779, 311, 2567, 279, 13192, 1949, 505, 68951, 627, 12, 33540, 9594, 25804, 12090, 340, 12, 3816, 2442, 5805, 3776, 61535, 198, 12, 12095, 986, 68, 453, 6885, 87135, 13127, 82, 54376, 340, 96144, 2175, 32944, 51567, 198, 32, 4029, 13192, 11, 374, 264, 13192, 1405, 220, 17, 10, 9606, 3974, 3871, 304, 279, 1890, 13192, 11, 719, 369, 1690, 433, 753, 1120, 922, 10494, 4288, 95461, 3871, 13, 1442, 27716, 95461, 527, 3779, 311, 264, 13192, 11, 433, 690, 5246, 1121, 304, 16779, 315, 832, 9606, 11, 477, 52482, 28533, 13, 21347, 264, 4029, 13192, 11, 279, 9606, 1288, 636, 3235, 1664, 627, 4599, 3794, 904, 7795, 1440, 279, 9499, 11, 37143, 11, 323, 1023, 8670, 315, 430, 7795, 13, 1628, 1817, 422, 814, 527, 4528, 311, 1023, 9606, 499, 617, 304, 279, 13192, 13, 5810, 527, 1063, 10507, 627, 10976, 491, 819, 527, 35148, 8369, 55051, 7795, 320, 1187, 12, 966, 356, 705, 20444, 6761, 18668, 527, 9439, 55051, 95461, 320, 508, 12, 1187, 356, 8, 779, 814, 649, 1431, 387, 2231, 3871, 13, 36845, 3703, 1302, 527, 3967, 311, 99570, 1317, 2269, 21203, 95461, 13, 2100, 7999, 46968, 449, 1124, 1053, 539, 387, 264, 2294, 4623, 13, 33540, 9594, 636, 11191, 304, 264, 2875, 892, 13, 2100, 1023, 5740, 44935, 388, 527, 2744, 264, 2731, 5873, 627, 1383, 420, 584, 649, 11306, 279, 26951, 1139, 1403, 4595, 11, 71343, 26951, 323, 75783, 349, 26951, 13, 71343, 26951, 527, 8369, 55051, 26951, 449, 10283, 315, 11012, 323, 19167, 449, 264, 43338, 13, 1628, 279, 9499, 374, 6118, 520, 220, 1627, 12, 843, 8547, 62447, 13, 17019, 288, 430, 649, 387, 3779, 527, 25, 43145, 11, 480, 414, 309, 285, 11, 356, 718, 75, 3447, 11, 5099, 627, 9241, 300, 279, 6940, 349, 26951, 527, 9439, 3090, 26951, 1405, 9499, 374, 18908, 2212, 220, 508, 12, 1187, 8547, 62447, 13, 4314, 527, 449, 12309, 2753, 39441, 323, 810, 1949, 24269, 3634, 374, 3984, 13, 17019, 288, 3779, 527, 25, 7573, 18668, 11, 37343, 9279, 3614, 11, 735, 6870, 11, 16870, 88, 3703, 65, 5099, 627, 9, 2059, 27793, 79127, 352, 328, 569, 277, 374, 264, 34268, 81422, 32628, 380, 505, 6890, 13, 1443, 27793, 3940, 7795, 10494, 520, 4325, 315, 220, 21, 323, 3940, 23815, 56119, 367, 5117, 779, 439, 311, 39170, 1274, 922, 279, 62283, 32628, 13, 5414, 62283, 5117, 25, 8604, 5973, 89537, 367, 1103, 46389, 916, 128001, 128000, 791, 1828, 1403, 5672, 315, 8079, 57201, 690, 387, 4529, 505, 32207, 4488, 3195, 304, 36673, 11450, 323, 814, 3240, 449, 264, 3446, 512, 52157, 499, 527, 11689, 1555, 279, 33633, 323, 499, 1518, 264, 2678, 5679, 13, 1102, 5992, 19369, 323, 11919, 13, 1472, 5603, 323, 3351, 311, 6896, 279, 5679, 13, 58801, 433, 4224, 277, 4835, 323, 16696, 311, 23556, 499, 13, 578, 5679, 912, 5129, 5084, 19369, 323, 499, 2733, 8850, 323, 11000, 19788, 13, 5112, 11, 439, 279, 10160, 46303, 11, 279, 11141, 389, 279, 5015, 527, 11953, 3201, 323, 499, 1518, 279, 5679, 706, 832, 315, 1202, 14535, 10791, 304, 264, 23709, 13, 4800, 11, 499, 2733, 30481, 369, 279, 5679, 13, 1472, 1440, 433, 6244, 19738, 1606, 433, 374, 304, 6784, 323, 374, 16066, 320, 69803, 16549, 323, 33862, 11326, 11, 70797, 3320, 613, 4390, 10267, 753, 13488, 1148, 584, 649, 4048, 505, 420, 3446, 1389, 1268, 649, 584, 5766, 279, 31954, 311, 11913, 5380, 12, 4418, 1431, 19065, 6261, 13, 1226, 527, 31655, 3210, 2653, 2695, 2757, 369, 20237, 13, 3277, 584, 1518, 264, 5679, 320, 269, 264, 1732, 8, 430, 2643, 23556, 603, 320, 69191, 750, 477, 46450, 2740, 705, 315, 3388, 584, 2733, 21699, 13, 1226, 733, 1139, 4465, 77303, 12862, 3059, 3941, 11, 323, 527, 12153, 311, 1518, 279, 52909, 3284, 8125, 369, 2500, 753, 7865, 13, 1226, 636, 10508, 323, 16399, 13, 1115, 374, 264, 4725, 1176, 13010, 13, 578, 1401, 374, 311, 18579, 1603, 584, 1180, 704, 315, 420, 3941, 627, 12, 2893, 63442, 13, 10541, 19971, 374, 264, 5933, 31655, 11, 1456, 311, 2339, 6261, 1603, 499, 6604, 11, 477, 3708, 430, 35507, 2613, 323, 656, 904, 4754, 11682, 13, 1472, 649, 1431, 636, 701, 4339, 1203, 13, 50756, 13, 3580, 422, 499, 649, 3619, 1405, 279, 1732, 1253, 387, 5108, 505, 13, 9934, 311, 312, 28810, 701, 9200, 5419, 3463, 1139, 264, 6928, 832, 11, 477, 520, 3325, 264, 21277, 832, 13, 4740, 682, 11, 1093, 430, 5679, 304, 279, 23709, 11, 584, 2216, 1541, 1431, 1440, 279, 8125, 369, 4423, 753, 7865, 627, 12, 4241, 1293, 278, 553, 13, 3277, 4423, 96083, 449, 603, 477, 17354, 3727, 1057, 2324, 5107, 11, 6227, 430, 433, 753, 11383, 539, 922, 603, 13, 1102, 1253, 387, 922, 872, 6784, 477, 14993, 13, 8595, 539, 3041, 3885, 279, 8935, 315, 279, 10712, 30, 1054, 27247, 79583, 279, 6784, 315, 264, 1732, 2476, 4946, 9259, 1071, 11, 1054, 28753, 304, 682, 48948, 11, 5127, 374, 20558, 13, 4427, 1274, 527, 2731, 520, 26092, 433, 1109, 3885, 49216, 12, 9372, 369, 6913, 39526, 13, 1115, 5097, 6725, 11, 439, 1057, 20663, 18182, 8737, 369, 279, 8389, 11, 719, 422, 584, 1456, 11, 584, 649, 4661, 2744, 1505, 2555, 1695, 922, 2500, 1732, 627, 12, 45901, 279, 68009, 11, 1054, 10156, 1093, 757, 2029, 20474, 11, 584, 527, 810, 27083, 1109, 2204, 13, 3277, 358, 2733, 9200, 315, 4423, 11, 358, 1456, 311, 24928, 7182, 430, 279, 1023, 1732, 16180, 872, 3070, 1120, 1093, 358, 656, 11, 323, 6944, 311, 387, 6380, 323, 1949, 315, 16066, 11, 1120, 1093, 358, 656, 13, 7648, 3062, 11, 430, 1732, 3727, 21294, 11, 1120, 1093, 358, 656, 627, 5971, 2046, 584, 4805, 3820, 709, 449, 674, 21, 0, 128001, 128000, 791, 1917, 4295, 2500, 502, 3335, 1579, 369, 8798, 10398, 3713, 12782, 40589, 304, 279, 16975, 11, 8994, 11293, 20748, 1606, 315, 279, 33333, 28522, 11, 14248, 7376, 7950, 627, 33336, 1392, 315, 12782, 40589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 279, 10388, 3823, 51877, 2656, 37647, 6962, 11, 37956, 439, 1790, 220, 1114, 4, 304, 5936, 11, 433, 574, 264, 10015, 18174, 13, 22208, 40589, 649, 4822, 304, 279, 3805, 369, 24552, 11, 779, 279, 2875, 9860, 47311, 315, 502, 12782, 25793, 369, 264, 2478, 4038, 3287, 1431, 617, 1790, 315, 264, 2466, 6945, 2515, 11, 1071, 86748, 10195, 28568, 21286, 1430, 350, 598, 627, 17818, 46480, 1268, 5107, 433, 374, 1389, 1148, 264, 6908, 2683, 433, 374, 1389, 311, 4546, 20748, 1523, 2476, 350, 598, 1071, 13, 1054, 1687, 527, 2216, 40583, 279, 9420, 311, 459, 23205, 3392, 315, 24808, 369, 264, 1633, 3544, 892, 49216, 26962, 449, 2167, 22323, 733, 1203, 311, 220, 6280, 23, 13, 1628, 12782, 40589, 5990, 527, 1457, 7154, 220, 1041, 5596, 824, 3610, 5190, 1109, 1243, 627, 4897, 753, 264, 220, 2148, 4, 5376, 304, 220, 5538, 1667, 627, 14305, 10205, 304, 45475, 12782, 40589, 5990, 374, 60135, 11, 323, 420, 3445, 279, 7194, 315, 10182, 2349, 311, 12966, 323, 279, 11841, 3136, 311, 10205, 91270, 439, 1664, 2476, 1071, 3907, 315, 14972, 4676, 73962, 24150, 6193, 375, 377, 627, 37707, 5990, 304, 279, 3805, 1051, 5190, 304, 279, 29827, 3347, 1603, 12966, 11, 350, 598, 1071, 627, 37707, 40589, 5990, 16557, 304, 3297, 1606, 6041, 304, 3389, 3297, 11, 1606, 7982, 11012, 19419, 709, 810, 315, 8798, 10398, 3713, 6962, 11, 14718, 12782, 15055, 304, 279, 3805, 311, 6068, 11, 350, 598, 1071, 627, 38255, 311, 18766, 31636, 10604, 374, 459, 9250, 4879, 311, 7124, 11, 37067, 323, 4358, 7353, 20326, 315, 6677, 323, 19248, 315, 10182, 2349, 11, 25407, 323, 4907, 8335, 11, 10182, 1646, 11, 3249, 323, 1268, 279, 10182, 374, 10223, 449, 34185, 323, 66860, 10396, 369, 3938, 627, 791, 2363, 706, 1027, 18255, 1139, 63360, 30732, 26, 1855, 39686, 3230, 4819, 21987, 43470, 5552, 311, 10182, 2349, 627, 791, 62469, 12735, 11, 1054, 2127, 17219, 311, 279, 10182, 3575, 863, 5825, 264, 6555, 24131, 9002, 10182, 323, 10182, 2349, 7419, 11, 16580, 1887, 315, 9578, 323, 12939, 315, 420, 2363, 311, 3619, 10182, 2349, 311, 2955, 264, 5326, 6373, 5507, 369, 3938, 10182, 26350, 627, 791, 6811, 1990, 9282, 323, 10182, 574, 10666, 311, 1304, 2875, 4751, 323, 1317, 4751, 11429, 13, 28968, 2968, 304, 279, 9499, 323, 993, 6400, 69290, 10020, 8141, 304, 279, 3392, 11, 8250, 323, 21261, 315, 61050, 574, 7633, 439, 459, 3062, 21070, 315, 10182, 2349, 627, 791, 1888, 1648, 311, 636, 4623, 922, 279, 10182, 315, 264, 5654, 374, 555, 14392, 1202, 2361, 1701, 16580, 1887, 13, 362, 16580, 1887, 17610, 315, 21518, 320, 19909, 304, 279, 10411, 4235, 67584, 5216, 1990, 279, 3813, 323, 279, 3312, 859, 8, 323, 21155, 320, 4134, 304, 279, 11226, 477, 9909, 5216, 11, 505, 279, 10461, 4809, 36742, 8, 320, 30035, 13, 220, 16, 4390, 791, 12939, 315, 21518, 4235, 26524, 304, 45475, 18057, 1646, 574, 27470, 555, 15560, 333, 2419, 323, 666, 392, 399, 320, 679, 17, 570, 24296, 11, 279, 5016, 4668, 304, 420, 12735, 374, 3229, 25679, 389, 279, 18361, 315, 279, 7899, 505, 279, 1917, 753, 10182, 14248, 323, 10666, 7872, 922, 279, 47672, 3728, 12111, 602, 1770, 13, 279, 1357, 2431, 26112, 278, 19482, 389, 31636, 10604, 320, 3378, 3791, 8, 902, 574, 14454, 304, 220, 3753, 23, 627, 791, 1828, 12735, 1054, 3957, 279, 31636, 51269, 12671, 24400, 389, 9499, 323, 7482, 11754, 4245, 311, 9499, 13, 26982, 11, 1005, 315, 9499, 64048, 323, 19179, 315, 9499, 555, 2204, 34824, 1093, 9581, 7479, 9499, 320, 50, 790, 705, 20534, 11, 95790, 323, 9581, 2237, 311, 32194, 430, 24808, 374, 84035, 3768, 574, 14407, 627, 791, 3229, 16964, 430, 24808, 649, 387, 20041, 555, 12629, 47026, 82034, 323, 12629, 78782, 4235, 36, 78782, 66726, 27697, 320, 80504, 44, 570, 578, 7872, 10666, 304, 420, 12735, 649, 387, 1511, 311, 4007, 9327, 315, 10182, 2349, 1701, 34824, 1093, 15438, 7479, 9499, 64048, 11, 3728, 9974, 5578, 9499, 75559, 320, 30035, 13, 220, 17, 8, 323, 24088, 22323, 315, 279, 3728, 9499, 18845, 320, 30035, 13, 220, 18, 4390, 9673, 10182, 34824, 1514, 264, 5199, 3560, 304, 279, 8830, 315, 28522, 8624, 1093, 20562, 12, 777, 320, 33, 1003, 404, 1880, 453, 2637, 220, 2366, 15, 8, 439, 1664, 439, 304, 279, 53958, 79482, 1234, 11422, 52223, 30029, 320, 16023, 507, 5289, 897, 1880, 453, 2637, 220, 679, 19, 4390, 68791, 11, 4184, 311, 279, 86748, 320, 31912, 22302, 292, 323, 87597, 17128, 705, 279, 220, 679, 24, 574, 279, 2132, 8369, 478, 1060, 389, 3335, 320, 16, 13, 868, 37386, 34, 3485, 864, 485, 47479, 5578, 320, 9367, 15, 4235, 7028, 15, 595, 323, 279, 3728, 9974, 5578, 4363, 323, 18435, 7479, 9499, 617, 7319, 520, 264, 4478, 315, 220, 15, 13, 2589, 37386, 34, 824, 13515, 2533, 220, 9367, 15, 627, 11458, 11, 433, 374, 11157, 5578, 4478, 315, 5376, 2533, 220, 3753, 16, 320, 15, 13, 972, 37386, 34, 570, 24296, 11, 3728, 24808, 9327, 41802, 5936, 9499, 1139, 3335, 439, 220, 2366, 15, 14971, 369, 834, 44750, 287, 69376, 320, 30035, 13, 220, 19, 4390, 791, 12939, 315, 4907, 1054, 1820, 8824, 311, 656, 990, 9520, 2410, 11, 5419, 4907, 11, 1005, 315, 49328, 9799, 5569, 323, 8141, 315, 13238, 25407, 1139, 9621, 11, 59141, 323, 37232, 85311, 574, 14407, 304, 12735, 220, 18, 449, 279, 25679, 430, 10182, 374, 682, 922, 4907, 6530, 627, 33775, 35292, 304, 279, 1376, 315, 28133, 3967, 439, 89235, 11, 6931, 7633, 555, 9878, 377, 753, 31228, 10334, 315, 25407, 11, 323, 25655, 1376, 315, 4907, 42101, 477, 48042, 555, 2547, 374, 3967, 439, 31228, 13, 99986, 753, 44153, 2383, 902, 5039, 5133, 1990, 46406, 323, 9499, 574, 25985, 660, 13, 578, 24524, 1511, 311, 3118, 420, 5133, 374, 512, 791, 3229, 62991, 430, 4395, 73880, 25407, 320, 11708, 2664, 8, 719, 8244, 4907, 8625, 1615, 2841, 13, 578, 19476, 10666, 304, 420, 12735, 527, 1511, 13882, 1457, 264, 2919, 304, 279, 2115, 315, 8870, 60199, 11, 1405, 9499, 374, 11075, 555, 30090, 279, 2410, 48042, 520, 264, 4040, 46406, 323, 34537, 420, 311, 9499, 320, 33, 91587, 29037, 1880, 453, 2637, 220, 2366, 15, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 423, 355, 1037, 261, 29222, 1609, 360, 1880, 453, 2637, 220, 2366, 15, 26, 59509, 1880, 453, 2637, 220, 2366, 15, 26, 393, 9769, 46378, 1880, 453, 2637, 220, 2366, 15, 26, 28372, 323, 28372, 11, 220, 2366, 15, 4390, 791, 1455, 3062, 1648, 311, 7664, 279, 8141, 315, 13238, 25407, 389, 11841, 9578, 374, 311, 2274, 264, 10182, 2385, 1646, 1701, 19476, 315, 453, 90087, 323, 21518, 439, 14407, 304, 15957, 220, 19, 13, 578, 3229, 7633, 430, 279, 1176, 3094, 311, 3619, 10182, 374, 311, 1005, 4907, 8199, 22702, 13, 8876, 279, 8219, 12164, 988, 220, 18, 13, 23, 25800, 220, 4278, 21, 468, 320, 13897, 32610, 468, 8, 315, 2410, 311, 11841, 9578, 13, 578, 4839, 3392, 315, 13238, 4907, 20129, 279, 11841, 9578, 649, 387, 16997, 555, 13126, 9578, 439, 264, 26436, 14932, 279, 8219, 449, 279, 10801, 6273, 311, 220, 3965, 3610, 13437, 320, 31192, 12, 9578, 6138, 570, 1666, 279, 26436, 6724, 3289, 50441, 279, 8219, 8617, 11, 40120, 48042, 555, 279, 8219, 690, 4498, 389, 279, 15135, 315, 279, 26436, 627, 791, 7479, 3158, 315, 26436, 374, 220, 19, 49345, 81, 17, 284, 220, 19, 49345, 7, 3965, 3610, 13437, 8, 17, 284, 220, 17, 13, 23, 25800, 220, 4645, 22, 93582, 17, 284, 220, 17, 13, 23, 25800, 220, 4278, 18, 296, 17, 13, 578, 4907, 48042, 555, 279, 8219, 16054, 389, 832, 73601, 9518, 7479, 315, 279, 26436, 374, 220, 18, 13, 23, 25800, 220, 4278, 21, 468, 14, 17, 13, 23, 25800, 220, 4278, 18, 296, 17, 284, 220, 9795, 15, 468, 296, 34363, 17, 2663, 439, 13238, 6926, 369, 279, 9578, 13, 24296, 11, 7434, 315, 8881, 1968, 320, 2149, 90087, 11, 19581, 8, 574, 10666, 902, 1436, 387, 1511, 311, 11294, 2860, 4478, 315, 4907, 304, 320, 54850, 8, 369, 279, 9578, 323, 15609, 555, 279, 2768, 24524, 512, 2940, 19581, 284, 65995, 315, 89235, 27000, 11, 220, 16, 12, 19481, 284, 19983, 315, 89235, 42101, 11, 328, 284, 25450, 6926, 13, 4452, 11, 2860, 4478, 315, 4907, 824, 296, 17, 315, 279, 9578, 7479, 3158, 1436, 387, 16997, 555, 1701, 2768, 24524, 512, 791, 3229, 25985, 988, 430, 27339, 304, 279, 3392, 315, 13238, 4907, 4036, 555, 279, 11841, 9578, 374, 10815, 449, 21518, 13, 24586, 311, 420, 2944, 21965, 1233, 636, 810, 13238, 4907, 1109, 5209, 99514, 21237, 1418, 25685, 13918, 5371, 2753, 13238, 4907, 627, 11458, 11, 21965, 1233, 617, 3428, 453, 90087, 323, 810, 24494, 7863, 311, 1579, 6987, 21237, 1405, 453, 90087, 374, 1579, 4245, 311, 10054, 320, 4357, 3141, 1880, 453, 2637, 220, 679, 17, 26, 77023, 1880, 453, 2637, 220, 679, 20, 570, 9420, 374, 12588, 4907, 505, 279, 7160, 31978, 719, 3249, 433, 374, 539, 19261, 311, 279, 1890, 9499, 439, 279, 7160, 574, 19089, 449, 279, 7434, 430, 4478, 520, 902, 9578, 374, 12588, 4907, 505, 279, 8219, 374, 6273, 311, 279, 4478, 279, 9578, 374, 13490, 4907, 13, 1442, 9578, 33291, 4907, 1203, 311, 3634, 555, 3445, 315, 3776, 2664, 25407, 1109, 198, 6153, 22581, 420, 24524, 279, 350, 584, 636, 374, 220, 3192, 735, 320, 34363, 972, 37386, 34, 705, 719, 279, 5150, 9578, 9499, 374, 3345, 311, 220, 15287, 735, 779, 279, 3488, 8625, 374, 1054, 10445, 279, 42304, 6835, 1778, 9439, 9499, 113068, 791, 3229, 12090, 430, 279, 2944, 369, 420, 574, 430, 304, 420, 24524, 279, 24494, 315, 279, 9578, 1101, 3967, 439, 279, 37647, 2515, 574, 51533, 13, 578, 3229, 47032, 430, 308, 48435, 1646, 52913, 279, 1396, 315, 13931, 304, 279, 16975, 1471, 705, 279, 13238, 6926, 320, 50, 8, 323, 453, 90087, 320, 19481, 8, 1436, 387, 1511, 311, 11294, 279, 7479, 9499, 315, 279, 11841, 9578, 13, 578, 1646, 24524, 311, 11294, 7479, 9499, 574, 512, 791, 3229, 8599, 420, 24524, 449, 1972, 1917, 555, 13126, 1396, 315, 13931, 13890, 311, 279, 3392, 315, 37647, 45612, 320, 45776, 82252, 8, 304, 279, 16975, 13, 4497, 279, 48584, 82252, 810, 690, 387, 279, 1396, 315, 13931, 323, 13967, 5190, 279, 24808, 439, 25985, 660, 304, 1828, 12735, 627, 791, 28555, 315, 12782, 304, 279, 26031, 3967, 439, 12782, 11008, 374, 25985, 660, 304, 15957, 220, 20, 449, 4096, 315, 48584, 82252, 1093, 3090, 38752, 11, 7432, 17, 11, 452, 17, 46, 11, 15104, 511, 277, 47620, 323, 507, 18, 13, 8876, 32389, 7432, 17, 374, 1925, 8815, 315, 6617, 10182, 2349, 11, 3229, 14407, 1202, 9473, 304, 279, 16975, 11, 49554, 8182, 323, 18435, 4669, 7397, 74767, 11, 594, 29579, 11, 44225, 323, 65374, 439, 13465, 11, 12782, 292, 13935, 323, 35719, 84443, 627, 16397, 220, 679, 15, 279, 20545, 315, 7432, 17, 574, 220, 15, 13, 21602, 15, 4, 320, 15515, 64697, 7438, 430, 1070, 527, 220, 15515, 35715, 315, 7432, 17, 304, 1475, 3610, 35715, 315, 3805, 8, 719, 1457, 304, 5936, 220, 2366, 15, 279, 20545, 315, 7432, 17, 374, 220, 17763, 13, 1691, 64697, 323, 433, 574, 220, 19288, 13, 1644, 64697, 304, 5936, 220, 679, 24, 320, 30035, 13, 220, 20, 4390, 45600, 11, 7432, 17, 20545, 374, 7859, 1938, 555, 1938, 13, 1115, 32389, 7432, 17, 617, 6982, 41264, 6372, 389, 2204, 6067, 1778, 439, 3728, 3823, 26677, 320, 42985, 323, 51323, 11, 220, 679, 23, 705, 43226, 4367, 315, 24822, 320, 35, 647, 1880, 453, 2637, 220, 679, 23, 705, 3090, 15374, 320, 53, 18405, 1880, 453, 2637, 220, 679, 20, 705, 2531, 3972, 67754, 3614, 288, 320, 50, 24520, 16357, 1880, 453, 2637, 220, 679, 20, 705, 47503, 11008, 320, 49, 29758, 1303, 323, 96446, 268, 11, 220, 679, 20, 705, 17614, 17808, 5030, 18528, 323, 54057, 20057, 320, 51, 69, 5179, 1880, 453, 2637, 220, 679, 23, 8, 323, 19641, 78152, 323, 19641, 6373, 320, 51, 12119, 89, 1880, 453, 2637, 220, 679, 18, 4390, 791, 3229, 4726, 11224, 430, 1925, 7432, 17, 4131, 505, 3823, 7640, 1093, 20252, 315, 31376, 40373, 323, 711, 97893, 902, 649, 387, 14654, 17124, 555, 279, 1005, 315, 69551, 19031, 315, 12782, 13, 35339, 11, 6969, 19, 902, 706, 220, 508, 3115, 810, 8147, 48584, 38, 1109, 7432, 17, 574, 14407, 304, 7872, 627, 791, 1925, 2592, 315, 6969, 19, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19054, 315, 51876, 320, 51, 647, 86, 2194, 323, 386, 4748, 1169, 6455, 11, 220, 2366, 15, 705, 20228, 54269, 552, 320, 48, 1122, 1880, 453, 2637, 220, 2366, 15, 8, 323, 45964, 1957, 389, 4363, 67267, 323, 82320, 320, 46521, 1880, 453, 2637, 220, 2366, 15, 64, 11, 14851, 1880, 453, 2637, 220, 2366, 15, 65, 570, 26982, 11, 6896, 299, 32056, 82, 5064, 323, 11756, 34757, 527, 1101, 2466, 26373, 315, 6969, 19, 320, 38, 3524, 1880, 453, 2637, 220, 2366, 15, 4390, 55915, 11, 3229, 20536, 304, 420, 12735, 430, 220, 1758, 4, 315, 279, 6969, 19, 20748, 527, 5933, 11, 323, 220, 2397, 4, 527, 4245, 311, 3823, 7640, 627, 791, 3229, 3940, 1054, 26072, 220, 21, 863, 449, 32946, 430, 8798, 8824, 315, 279, 16975, 374, 7315, 1606, 4907, 304, 17239, 4907, 704, 13, 4452, 11, 422, 832, 6324, 477, 2814, 321, 1155, 16975, 374, 3779, 311, 279, 11841, 433, 690, 5376, 9499, 1606, 315, 9546, 315, 48584, 82252, 719, 11411, 24808, 477, 7633, 810, 6179, 750, 439, 24808, 1054, 258, 279, 15660, 863, 374, 1101, 2133, 389, 13, 35339, 11, 35969, 1413, 25957, 320, 18077, 8, 374, 279, 9320, 304, 4907, 4245, 311, 4442, 27070, 389, 279, 11841, 9578, 1603, 279, 28174, 315, 9499, 627, 41598, 82, 323, 1789, 3751, 320, 2366, 15, 8, 11224, 430, 22835, 374, 264, 16188, 12472, 369, 8830, 41416, 29569, 323, 5933, 12050, 315, 3347, 323, 3938, 10182, 2349, 13, 15636, 11, 22835, 1436, 387, 1511, 311, 6767, 10182, 18713, 65916, 627, 791, 3229, 4726, 25985, 660, 430, 48584, 82252, 706, 22835, 315, 489, 18, 13, 15, 468, 3262, 17, 323, 220, 2131, 4, 3560, 574, 505, 7432, 17, 719, 4272, 22835, 12222, 1457, 374, 489, 16, 13, 21, 468, 3262, 17, 13, 4452, 11, 49825, 3145, 323, 4363, 1005, 4442, 617, 8389, 22835, 323, 3229, 46728, 430, 584, 2011, 1935, 3738, 11193, 323, 1977, 1778, 10396, 902, 649, 70236, 22835, 627, 9673, 1436, 387, 17427, 555, 23351, 7640, 902, 8356, 6928, 22835, 2663, 439, 66860, 323, 3815, 7640, 430, 8356, 8389, 22835, 14183, 439, 28681, 99015, 13, 37957, 374, 2500, 17383, 430, 31680, 311, 4442, 304, 279, 7479, 9499, 7633, 555, 3229, 28987, 10182, 3060, 40646, 477, 48291, 627, 9673, 2997, 5043, 320, 560, 4235, 278, 90087, 11, 3090, 8437, 21374, 11, 90417, 44126, 323, 9624, 8, 323, 6435, 320, 74441, 78790, 323, 54832, 8, 11302, 82, 315, 24808, 13, 578, 3229, 4726, 1903, 264, 6366, 12593, 1990, 22835, 323, 11302, 13, 358, 198, 77, 279, 842, 315, 420, 12735, 279, 3229, 14407, 922, 27541, 439, 7319, 9499, 320, 17, 13, 15, 4235, 19, 13, 20, 37386, 34, 8, 4245, 311, 60115, 315, 7432, 17, 1418, 304, 4751, 315, 22835, 433, 374, 220, 15, 13, 20, 4235, 16, 13, 16, 37386, 34, 12148, 54, 3262, 17, 8, 449, 1888, 16430, 315, 220, 15, 13, 2075, 37386, 34, 12148, 54, 3262, 17, 4390, 791, 29098, 315, 279, 66959, 320, 83, 440, 14338, 11633, 705, 8219, 11, 9420, 753, 27605, 320, 72425, 40509, 488, 705, 5419, 54709, 11, 48584, 82252, 323, 872, 11093, 2515, 389, 10182, 2349, 527, 14407, 304, 15957, 220, 22, 627, 791, 3229, 44894, 430, 279, 3813, 315, 279, 32843, 27667, 279, 10054, 11071, 18488, 902, 649, 3135, 304, 28015, 315, 279, 11841, 13, 35339, 11, 10687, 315, 66959, 8417, 18435, 35855, 323, 2349, 304, 279, 2361, 315, 66959, 1253, 3063, 311, 2349, 304, 53958, 5497, 323, 10160, 8141, 13, 26982, 11, 13238, 6926, 374, 2500, 8331, 902, 11835, 10182, 719, 4245, 311, 7319, 37608, 304, 279, 8219, 433, 9221, 220, 966, 4, 53657, 927, 420, 892, 627, 55915, 11, 3229, 20536, 430, 8219, 706, 6928, 22835, 13, 578, 2361, 315, 9578, 505, 7160, 706, 264, 5199, 2515, 389, 279, 13238, 6926, 13, 8876, 9578, 27605, 374, 539, 264, 4832, 12960, 323, 433, 374, 459, 58497, 6832, 55920, 488, 320, 1820, 11595, 315, 279, 3160, 315, 279, 58497, 311, 279, 2430, 8, 35327, 449, 892, 13, 32140, 11, 439, 279, 27605, 3719, 810, 55920, 433, 690, 3063, 311, 7319, 9578, 1355, 359, 6138, 13239, 311, 2753, 13238, 6926, 323, 2349, 304, 10182, 627, 11458, 11, 422, 9578, 25501, 18585, 311, 279, 7160, 320, 716, 7141, 301, 290, 8, 449, 37300, 320, 677, 41093, 488, 8, 690, 11857, 279, 10182, 4245, 311, 54709, 304, 279, 3392, 315, 40120, 2085, 2349, 304, 13238, 6926, 13, 578, 3229, 32238, 65691, 27339, 2515, 389, 40120, 19812, 902, 4442, 10182, 439, 10357, 1201, 869, 1641, 25492, 320, 34955, 285, 5770, 11, 220, 679, 17, 4390, 11830, 54709, 304, 1057, 10182, 1093, 4072, 22652, 14871, 11628, 283, 6456, 56736, 67184, 320, 965, 14202, 8, 4131, 505, 5419, 22027, 315, 1887, 706, 9439, 320, 8921, 22652, 18829, 8, 323, 4106, 320, 6719, 22652, 14871, 8, 35530, 13, 15636, 11, 3229, 20536, 430, 469, 2507, 46, 374, 279, 25462, 323, 1888, 22015, 5419, 23851, 304, 279, 10182, 1887, 13, 13875, 7898, 315, 10182, 2349, 323, 4072, 22652, 14871, 4235, 86838, 56736, 67184, 320, 965, 14202, 8, 574, 1664, 27470, 555, 14851, 1880, 453, 2637, 220, 2366, 15, 64, 11, 14851, 1880, 453, 2637, 220, 2366, 15, 65, 13, 26982, 279, 3229, 7633, 1268, 28568, 649, 3568, 449, 89260, 320, 64, 1486, 430, 1587, 539, 7655, 449, 12624, 17078, 570, 35339, 11, 48584, 82252, 902, 527, 15871, 4245, 311, 3823, 7640, 527, 8647, 369, 9439, 323, 4106, 4455, 439, 30576, 555, 10182, 4211, 323, 95661, 627, 26072, 220, 23, 11, 1054, 791, 3938, 315, 1057, 10182, 863, 706, 1027, 3940, 449, 41579, 315, 48584, 82252, 20748, 11, 3967, 439, 20748, 26350, 13, 763, 279, 1212, 3229, 14407, 5133, 315, 48584, 82252, 449, 8396, 11822, 15652, 13, 15636, 11, 3229, 44894, 430, 30830, 320, 94902, 13018, 2027, 8, 1436, 387, 1511, 439, 459, 21070, 311, 1817, 279, 2860, 20748, 555, 279, 8396, 627, 11458, 11, 7187, 11, 3611, 10036, 768, 323, 48584, 82252, 21261, 617, 2466, 19035, 311, 48584, 82252, 20748, 13, 15636, 11, 2860, 20748, 315, 48584, 82252, 320, 40, 8, 1436, 387, 13605, 439, 2027, 315, 7187, 320, 47, 705, 3611, 10036, 768, 320, 32, 8, 323, 48584, 82252, 21261, 320, 51, 4390, 791, 3229, 4726, 85598, 350, 1139, 4907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21261, 320, 79882, 8, 323, 12782, 21261, 320, 11487, 570, 14636, 11, 7319, 20748, 617, 2167, 5133, 449, 393, 323, 362, 902, 690, 387, 10223, 304, 5108, 9478, 449, 50925, 315, 5557, 627, 791, 3229, 4726, 25985, 660, 430, 433, 374, 2653, 311, 1304, 20492, 5423, 922, 279, 3938, 11, 719, 41353, 26350, 1436, 387, 1511, 311, 656, 779, 1890, 439, 95661, 13, 24296, 11, 3229, 14407, 922, 362, 320, 32, 16, 323, 362, 17, 8, 323, 426, 320, 33, 16, 323, 426, 17, 8, 26350, 1405, 362, 7664, 24800, 449, 1579, 7969, 315, 7100, 6650, 1418, 426, 16964, 1405, 7100, 6650, 374, 6435, 627, 6153, 420, 11, 26350, 527, 16489, 1139, 48584, 38, 32466, 555, 1701, 12782, 78790, 1646, 13, 1115, 1646, 13240, 3428, 11, 11298, 11, 323, 1579, 7969, 315, 37647, 2427, 300, 20748, 369, 279, 426, 16, 11, 362, 16, 33, 11, 323, 362, 17, 26350, 15947, 449, 220, 16, 13, 23, 311, 220, 18, 13, 21, 37386, 34, 7319, 9499, 520, 279, 842, 315, 17510, 38043, 9478, 627, 791, 3229, 44894, 430, 9499, 1053, 10205, 449, 220, 15, 13, 19, 37386, 34, 1524, 422, 48584, 38, 20748, 527, 93163, 14183, 439, 11411, 24808, 13, 4452, 11, 279, 3229, 13533, 279, 1005, 315, 4211, 304, 8475, 1648, 555, 52913, 11323, 780, 54709, 311, 7168, 10182, 1887, 30357, 627, 791, 3229, 29633, 430, 279, 4367, 323, 12472, 315, 828, 374, 16996, 311, 1304, 5208, 304, 279, 2115, 315, 34579, 13, 34496, 26350, 617, 1027, 8040, 304, 3293, 11026, 719, 1455, 3062, 832, 5764, 320, 72, 8, 19198, 95661, 220, 2550, 17, 320, 1669, 6083, 8, 15398, 320, 3893, 8, 19198, 3361, 1934, 389, 41353, 2522, 61594, 320, 50, 7157, 8, 320, 35694, 8, 13625, 432, 7269, 320, 66843, 1413, 20545, 44014, 8, 323, 320, 344, 8, 38166, 25957, 26350, 627, 791, 3507, 6083, 15398, 574, 1511, 369, 220, 17, 303, 15813, 1934, 320, 50, 946, 8, 1418, 328, 7157, 574, 1511, 304, 279, 95661, 220, 18, 6634, 320, 51, 946, 8, 323, 220, 19, 339, 320, 946, 19, 8, 15813, 6821, 13, 10771, 311, 328, 7157, 3938, 48584, 82252, 20748, 527, 279, 2027, 315, 1633, 6485, 8915, 6067, 11, 11075, 555, 10043, 8603, 1778, 439, 38462, 4500, 11, 41589, 77249, 4500, 11, 323, 30116, 2349, 320, 45, 587, 292, 268, 41145, 1880, 453, 2637, 220, 1049, 15, 4390, 66843, 1413, 62261, 2214, 8092, 2336, 320, 49, 7269, 82, 8, 12860, 328, 7157, 304, 220, 20, 339, 15813, 1934, 320, 946, 20, 8, 439, 433, 574, 4460, 311, 7168, 1268, 3938, 3728, 24808, 690, 17210, 311, 10182, 2349, 13, 578, 432, 7269, 82, 527, 264, 5410, 743, 315, 26350, 430, 649, 387, 1511, 311, 6106, 6041, 4787, 11, 13970, 828, 323, 41579, 779, 430, 814, 649, 20011, 21356, 4028, 279, 5370, 23962, 315, 10182, 8198, 627, 791, 432, 7269, 82, 5764, 3116, 44014, 25, 432, 7269, 17, 13, 21, 320, 26840, 3428, 25957, 2237, 11, 1101, 14183, 311, 439, 432, 7269, 18, 23891, 11, 1405, 3451, 23891, 529, 13656, 369, 44262, 323, 32725, 483, 8, 320, 16023, 57702, 21904, 1880, 453, 2637, 220, 679, 16, 705, 432, 7269, 19, 13, 20, 320, 42094, 27276, 8082, 26350, 8, 320, 1016, 316, 942, 1880, 453, 2637, 220, 679, 16, 705, 432, 7269, 21, 320, 42094, 27276, 8082, 26350, 8, 320, 44749, 2005, 1880, 453, 2637, 220, 679, 16, 8, 323, 432, 7269, 23, 13, 20, 320, 12243, 41353, 15398, 477, 2626, 439, 13783, 8, 320, 49, 689, 6151, 1880, 453, 2637, 220, 679, 16, 4390, 38, 2924, 1880, 453, 13, 320, 679, 24, 8, 10666, 264, 16578, 315, 11888, 26350, 315, 3938, 20748, 86648, 315, 41416, 29569, 8336, 13, 4314, 11888, 25957, 26350, 617, 1027, 1511, 311, 2274, 14827, 220, 21, 339, 15813, 1934, 320, 946, 21, 8, 3196, 389, 279, 6222, 80431, 44014, 320, 1242, 21051, 4390, 9673, 743, 315, 26350, 527, 62215, 389, 279, 3428, 842, 555, 264, 220, 16, 13, 24, 468, 76, 34363, 17, 15398, 10728, 369, 22209, 287, 264, 1917, 449, 842, 315, 9478, 1664, 3770, 220, 17, 37386, 34, 323, 389, 279, 1579, 842, 555, 459, 220, 23, 13, 20, 468, 76, 34363, 17, 15398, 11, 13239, 5376, 315, 220, 20, 37386, 34, 927, 864, 485, 47479, 5990, 627, 9673, 20748, 828, 617, 1027, 1511, 555, 435, 1142, 1565, 1880, 453, 13, 320, 679, 24, 8, 311, 16430, 279, 12062, 304, 279, 12164, 1413, 25957, 315, 41416, 29569, 49825, 337, 520, 279, 842, 315, 279, 220, 1691, 267, 9478, 627, 791, 1925, 6956, 315, 10182, 2997, 7106, 5536, 389, 10182, 1887, 902, 16964, 1268, 9499, 11, 53958, 11, 9581, 2237, 323, 14560, 4455, 690, 2349, 323, 1148, 690, 387, 872, 25949, 389, 12966, 527, 14407, 304, 15957, 220, 24, 11, 1054, 26282, 11613, 113068, 12834, 9499, 374, 7859, 9093, 11, 8244, 7640, 690, 387, 29852, 430, 3966, 311, 387, 41223, 555, 4211, 13, 26982, 11, 279, 3229, 25985, 988, 430, 11900, 323, 21261, 315, 53958, 323, 37846, 690, 3139, 430, 2643, 5353, 39262, 11, 58097, 11, 79152, 323, 79054, 13, 14636, 11, 20492, 315, 3938, 53958, 2011, 387, 5852, 1534, 304, 10182, 4211, 311, 5766, 69867, 627, 60261, 2237, 10205, 323, 13935, 2461, 527, 1023, 34824, 315, 10182, 2349, 14407, 555, 279, 3229, 13, 578, 3229, 20536, 430, 311, 76498, 682, 1521, 25949, 602, 1770, 13, 7106, 25949, 389, 279, 10182, 1887, 320, 4438, 9499, 11, 61050, 11, 9581, 2237, 11, 14560, 4455, 11, 323, 1023, 1778, 44247, 690, 2349, 8, 323, 5536, 315, 1778, 4442, 389, 3823, 323, 4676, 584, 1205, 311, 3619, 1057, 27541, 311, 10182, 2349, 627, 12834, 682, 1521, 44077, 4442, 617, 8389, 25949, 389, 12966, 11, 30029, 323, 80744, 18539, 9093, 11, 279, 3229, 46728, 430, 420, 682, 1288, 387, 9152, 555, 34185, 323, 66860, 15174, 320, 66935, 1395, 1880, 453, 2637, 220, 679, 24, 26, 75729, 587, 437, 1880, 453, 2637, 220, 2366, 15, 26, 80081, 467, 1880, 453, 2637, 220, 679, 24, 4390, 76065, 1880, 453, 13, 320, 2366, 15, 8, 12090, 18921, 5603, 1288, 387, 1511, 311, 11322, 3691, 4868, 323, 41329, 9021, 8104, 2949, 279, 2317, 315, 10182, 2349, 13, 763, 15957, 220, 605, 11, 1054, 849, 60925, 6650, 863, 902 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 374, 6089, 55272, 311, 279, 1404, 315, 6205, 574, 14407, 719, 3229, 46728, 430, 1398, 60925, 6650, 4250, 733, 389, 16058, 11, 323, 994, 433, 10548, 11, 433, 3629, 10548, 15187, 627, 68791, 11, 1054, 13233, 315, 220, 5332, 863, 14183, 311, 60115, 2515, 11, 11336, 287, 323, 2853, 8935, 2515, 574, 14407, 13, 26982, 11, 386, 1902, 355, 889, 44894, 430, 7187, 28815, 75251, 20444, 11, 3691, 5788, 28815, 304, 264, 13790, 11401, 574, 14407, 304, 264, 6366, 1648, 627, 644, 279, 15957, 220, 806, 11, 1054, 59440, 78114, 315, 10182, 2349, 4947, 863, 304, 902, 3229, 21782, 5370, 2671, 2561, 311, 603, 311, 2686, 10182, 2349, 902, 2997, 34185, 11, 66860, 323, 28681, 99015, 13, 59531, 367, 3445, 30438, 311, 279, 8389, 25949, 315, 10182, 2349, 430, 2643, 1101, 387, 6646, 439, 1376, 315, 12576, 627, 55915, 11, 3229, 66159, 389, 1957, 1603, 10182, 2349, 13980, 1093, 8246, 315, 59780, 14054, 323, 18197, 8276, 13, 26982, 11, 1054, 55470, 18413, 863, 19813, 311, 10396, 430, 5766, 10182, 2349, 304, 279, 1176, 2035, 1093, 14278, 304, 48584, 82252, 555, 7187, 2585, 477, 14278, 304, 279, 1005, 315, 11822, 627, 11458, 11, 279, 3229, 13713, 660, 430, 422, 420, 374, 539, 3284, 11, 584, 1205, 311, 8108, 37647, 2427, 300, 21261, 555, 30820, 1701, 4907, 5070, 1555, 50925, 315, 5557, 320, 74441, 12862, 477, 10182, 56219, 570, 578, 11293, 12782, 21261, 323, 33268, 4907, 5070, 2997, 11499, 11, 12782, 12602, 323, 513, 593, 55681, 627, 791, 3229, 4726, 46728, 389, 279, 1005, 315, 17055, 64465, 11, 13238, 11, 10160, 11, 323, 58758, 4907, 439, 1888, 66860, 3072, 1234, 10223, 10182, 13, 4452, 11, 1521, 617, 1063, 8882, 323, 1615, 1093, 304, 11499, 4907, 279, 2466, 4360, 374, 20334, 315, 11499, 71573, 323, 34545, 315, 11499, 82320, 13, 17830, 11, 279, 7537, 315, 3339, 315, 11499, 13054, 323, 2853, 527, 832, 315, 279, 2466, 5435, 304, 279, 8292, 315, 11499, 4907, 320, 1271, 263, 1880, 453, 2637, 220, 679, 24, 4390, 55915, 11, 279, 3229, 706, 2728, 1620, 3072, 315, 12782, 12602, 323, 5942, 11, 1101, 3967, 555, 1202, 79537, 74192, 477, 12782, 513, 593, 55681, 13, 33010, 99015, 19813, 311, 4642, 34786, 315, 279, 10182, 1887, 323, 374, 2500, 5603, 279, 3229, 12090, 311, 33435, 430, 649, 387, 11102, 1523, 1139, 1403, 11306, 11, 13238, 25407, 6373, 323, 12782, 11008, 15009, 627, 2654, 2756, 367, 374, 539, 1193, 279, 15062, 3072, 9093, 11, 279, 3229, 304, 15957, 220, 717, 11, 1054, 55470, 18413, 10396, 863, 14407, 66860, 439, 6992, 3072, 311, 5766, 10182, 2349, 13, 578, 3229, 12090, 3738, 14640, 1093, 3290, 323, 2585, 323, 3157, 3196, 311, 5766, 10182, 2349, 13, 763, 3290, 323, 2585, 279, 3229, 14407, 922, 1005, 315, 3230, 3956, 1093, 97205, 304, 9515, 311, 29262, 5410, 315, 48584, 82252, 627, 57417, 11, 3229, 46728, 389, 279, 1005, 315, 3230, 18699, 5557, 11, 14640, 315, 41353, 10886, 323, 36580, 369, 279, 14278, 304, 48584, 82252, 13, 14636, 11, 3339, 991, 29163, 311, 2343, 369, 872, 20748, 374, 264, 3157, 6108, 6425, 12090, 555, 279, 3229, 13, 1115, 5764, 12782, 13426, 323, 2107, 9976, 83129, 6067, 627, 68791, 11, 3229, 1903, 264, 6366, 12593, 1990, 12782, 13426, 323, 2107, 9976, 83129, 13, 4206, 5022, 527, 1957, 4529, 311, 4148, 7432, 17, 505, 3805, 555, 48114, 13952, 2663, 439, 8389, 20748, 320, 32, 1354, 20069, 1880, 453, 2637, 220, 2366, 15, 26, 71433, 309, 5048, 1880, 453, 2637, 220, 679, 24, 570, 4452, 11, 20806, 1732, 311, 4984, 48584, 82252, 389, 279, 20900, 315, 36146, 374, 1890, 439, 311, 44491, 28994, 832, 389, 7589, 13, 15636, 11, 279, 3229, 12090, 4445, 459, 79254, 1957, 323, 46728, 389, 2038, 87764, 439, 1888, 1648, 311, 50460, 10182, 2349, 627, 32, 10015, 3925, 315, 10182, 2349, 8198, 11, 4947, 11, 323, 11759, 11, 15957, 220, 1032, 374, 4096, 315, 7314, 315, 10182, 8198, 15453, 555, 15466, 90054, 320, 10828, 15, 8, 439, 37647, 2515, 8272, 555, 3842, 14221, 303, 543, 323, 12140, 4701, 395, 450, 13, 35339, 11, 279, 3229, 14407, 279, 4623, 315, 18925, 12301, 9334, 439, 7314, 279, 10334, 315, 3823, 36572, 3728, 24808, 627, 791, 3229, 10666, 1054, 79519, 863, 304, 220, 777, 339, 9478, 439, 459, 9354, 311, 43384, 323, 279, 8209, 2403, 7138, 574, 264, 8209, 369, 20237, 13, 4740, 430, 11, 7434, 315, 77537, 92948, 323, 13935, 62555, 574, 14407, 11, 323, 433, 574, 12090, 430, 356, 6897, 3966, 311, 387, 21501, 555, 10474, 9994, 1920, 627, 5971, 34185, 315, 30613, 11766, 574, 22690, 11, 323, 3229, 13713, 660, 430, 3575, 315, 10182, 2349, 3719, 5054, 4245, 311, 279, 21623, 315, 2326, 74588, 304, 220, 3753, 23, 13, 1115, 6197, 311, 279, 18488, 315, 95661, 320, 1090, 2431, 26112, 278, 19482, 389, 31636, 10604, 8, 323, 38997, 315, 24686, 26958, 389, 31636, 10604, 320, 37, 54973, 570, 26982, 279, 82122, 25590, 374, 2500, 8292, 315, 10396, 14407, 555, 3229, 311, 50460, 10182, 2349, 627, 644, 279, 1566, 12735, 11, 1054, 99004, 433, 3871, 25, 362, 1317, 9860, 4947, 311, 2686, 10182, 2349, 863, 279, 3229, 45537, 430, 264, 40806, 5149, 4460, 311, 4305, 66860, 2068, 311, 8108, 20748, 719, 584, 617, 311, 4305, 1778, 10396, 902, 617, 1317, 4751, 5915, 13, 26982, 11, 2853, 8935, 11595, 3966, 311, 387, 16997, 779, 430, 584, 649, 2274, 66860, 3197, 28178, 627, 644, 279, 842, 3229, 12090, 279, 3560, 315, 3927, 311, 62425, 279, 20748, 47311, 5995, 311, 70236, 279, 10182, 13, 1115, 7612, 22498, 323, 47672, 6299, 13, 42096, 11, 20562, 12, 777, 51235, 374, 832, 315, 279, 10507, 1405, 433, 706, 1027, 5068, 430, 420, 51235, 9087, 311, 30437, 20748, 315, 48584, 82252, 627, 2520, 3187, 11, 36831, 1880, 453, 13, 320, 2366, 15, 8, 304, 872, 990, 20536, 430, 20562, 12, 777, 374, 264, 3728, 28522, 323, 6129, 6023, 311, 3823, 2890, 902, 27365, 279, 7100, 7640, 11, 719, 433, 374, 1054, 33, 1752, 287, 304, 4185, 8890, 1082, 9520, 1405, 25793, 374, 18189, 11, 323, 7138, 374, 58583, 287, 5196, 13, 35339, 11, 814, 5068, 430, 420, 5536, 389, 4676, 1253, 387, 2875, 4751, 11, 719, 584, 1288, 4048, 505, 420, 51235, 323, 1505, 5627, 311, 8108, 25793, 389 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1317, 4751, 8197, 627, 57417, 11, 35120, 65, 18981, 323, 4488, 569, 320, 2366, 15, 8, 20536, 430, 28522, 6089, 48926, 7931, 323, 2890, 6067, 11, 20444, 10182, 2349, 96236, 27927, 5933, 323, 3823, 6067, 13, 2435, 12090, 430, 10182, 25949, 690, 47293, 268, 279, 5129, 584, 3868, 13, 2100, 11, 584, 527, 17011, 449, 50917, 58187, 430, 1397, 14247, 59529, 29905, 2065, 627, 644, 4689, 11, 279, 2363, 690, 29068, 311, 279, 3966, 315, 10182, 28568, 11, 1491, 25812, 11, 12074, 34574, 1188, 1705, 11, 41534, 11, 323, 19560, 4236, 304, 682, 5151, 315, 4007, 13, 1102, 374, 264, 15525, 19035, 311, 279, 1510, 6677, 389, 10182, 2349, 323, 5825, 13970, 4092, 11, 48188, 11, 323, 4754, 369, 279, 3938, 13, 358, 16917, 7079, 420, 2363, 311, 13016, 439, 264, 15525, 2592, 315, 2038, 323, 264, 48776, 5369, 311, 832, 753, 2363, 28745, 13, 128001, 128000, 644, 279, 14247, 40696, 315, 38201, 69756, 11, 264, 2478, 14248, 29440, 3508, 433, 2643, 387, 892, 311, 15806, 279, 1317, 9860, 2503, 287, 315, 1561, 27008, 323, 279, 11013, 315, 279, 29538, 11188, 11, 902, 706, 1027, 4560, 311, 6541, 1202, 1925, 5613, 369, 11026, 323, 706, 1193, 1027, 5762, 1203, 555, 279, 21623, 315, 279, 31242, 315, 49796, 13, 16644, 279, 26703, 315, 279, 1772, 16222, 266, 41071, 3823, 21426, 323, 279, 282, 26902, 6918, 11, 1614, 323, 2254, 14847, 11, 433, 9508, 3242, 337, 635, 311, 1486, 704, 430, 7138, 574, 16043, 2403, 279, 35093, 315, 279, 3276, 291, 321, 99712, 2704, 41608, 13, 358, 2846, 14792, 323, 18949, 311, 1518, 430, 264, 1912, 315, 48709, 323, 2254, 11909, 5828, 956, 4130, 1171, 11, 323, 706, 1027, 24834, 420, 3917, 304, 2294, 7872, 13, 2435, 3077, 2586, 704, 449, 1063, 1633, 7185, 31342, 13, 578, 1561, 4356, 8691, 706, 264, 6555, 7447, 42362, 15864, 389, 872, 1934, 11, 3235, 449, 264, 810, 11944, 4652, 13, 578, 1912, 596, 28782, 10578, 1093, 28799, 15009, 11093, 449, 264, 3460, 315, 12434, 5860, 78, 11, 7231, 304, 311, 279, 15140, 596, 33147, 311, 6541, 11, 719, 21760, 433, 520, 264, 1486, 315, 1057, 19301, 627, 791, 12939, 315, 420, 3495, 2289, 7953, 16036, 9293, 323, 4363, 6373, 13, 1556, 653, 26337, 6541, 315, 279, 29538, 311, 279, 5613, 315, 279, 2468, 331, 2642, 278, 12874, 11188, 1053, 42589, 539, 1193, 279, 5896, 315, 1561, 27008, 11, 719, 1101, 264, 1404, 481, 19983, 315, 279, 5654, 596, 5707, 323, 6896, 299, 32056, 8863, 5064, 11, 449, 16296, 369, 279, 4553, 2326, 8752, 13, 1666, 279, 4652, 3585, 704, 11, 279, 8446, 315, 40880, 279, 15140, 11163, 12843, 5131, 49373, 927, 279, 58636, 28745, 323, 1701, 1124, 311, 32593, 279, 5654, 596, 67503, 14739, 8329, 1053, 1520, 1561, 27008, 311, 51571, 3938, 90127, 2731, 11, 3235, 449, 28118, 1023, 3685, 25949, 505, 10182, 2349, 627, 40, 1518, 264, 4726, 8935, 505, 420, 14050, 13, 1102, 706, 3719, 4661, 3944, 72, 13795, 430, 11, 8994, 279, 6650, 315, 1057, 8752, 323, 3109, 927, 279, 1566, 3892, 11026, 11, 5270, 706, 5675, 279, 94350, 315, 9293, 323, 31320, 5426, 13230, 7224, 13, 35691, 57911, 279, 312, 54968, 287, 315, 279, 29538, 690, 1397, 459, 23205, 586, 82101, 5149, 11, 449, 6373, 311, 2489, 13, 1442, 51165, 315, 279, 1455, 13510, 20124, 315, 10182, 2349, 527, 4495, 11, 584, 1288, 2980, 32931, 279, 29538, 439, 264, 27946, 1296, 11213, 369, 1148, 1436, 387, 2631, 304, 279, 3938, 13, 358, 690, 387, 2768, 279, 5208, 315, 420, 5149, 449, 2294, 2802, 13, 128001, 128000, 36557, 12634, 43609, 18825, 7279, 25, 480, 13701, 435, 11893, 198, 791, 10728, 11, 4382, 323, 6913, 2410, 25492, 320, 34, 1923, 354, 42392, 11, 88920, 783, 42392, 11, 66991, 42392, 323, 54894, 42392, 705, 10728, 2410, 11008, 6956, 87880, 288, 320, 84292, 11, 59333, 323, 14800, 8, 323, 10728, 25633, 1260, 6530, 6956, 320, 2008, 942, 292, 82981, 11, 3722, 882, 323, 30985, 8, 527, 10666, 304, 420, 3388, 3769, 627, 4599, 14892, 449, 2410, 25492, 1403, 2204, 20414, 527, 4529, 449, 5201, 311, 279, 3318, 15962, 13, 1789, 32749, 354, 42392, 323, 88920, 783, 42392, 11, 3805, 11, 1417, 263, 11, 97607, 323, 47503, 527, 6646, 439, 279, 3318, 15962, 13, 1789, 66991, 42392, 323, 54894, 42392, 11, 1193, 3805, 374, 1511, 439, 279, 3318, 15962, 627, 4599, 14892, 449, 2410, 11008, 6956, 87880, 288, 320, 84292, 323, 14800, 8, 323, 25633, 1260, 6530, 320, 2201, 50061, 11, 3722, 882, 323, 30985, 705, 3805, 11, 1417, 263, 11, 97607, 323, 47503, 527, 1511, 439, 279, 3318, 15962, 627, 4599, 14892, 449, 59333, 11, 4848, 2204, 40373, 320, 74441, 11, 35784, 11, 72591, 11, 11756, 11, 5707, 323, 6962, 8, 14085, 449, 3805, 323, 24463, 69671, 3805, 439, 279, 36172, 519, 520, 2204, 43132, 41652, 7133, 2819, 320, 34152, 41652, 7133, 591, 220, 16, 8, 323, 36172, 519, 80207, 9499, 2819, 627, 2520, 1855, 2410, 11008, 29487, 15374, 96354, 374, 10666, 449, 264, 4382, 37072, 5603, 13, 7429, 11, 369, 1855, 2410, 11008, 11, 264, 350, 482, 274, 13861, 323, 2410, 11008, 3682, 5178, 18845, 320, 69218, 15374, 11, 3230, 2410, 2612, 11, 2410, 2612, 11, 59333, 3956, 18528, 389, 4785, 323, 35751, 8197, 11, 3230, 10633, 15652, 323, 43132, 41652, 7133, 8, 527, 68683, 304, 264, 2478, 12678, 439, 264, 734, 315, 26168, 11595, 11, 66270, 80207, 9499, 323, 5255, 1620, 59333, 9499, 323, 3318, 15962, 3148, 6530, 4478, 13, 1102, 1288, 387, 10555, 430, 420, 2930, 3388, 1587, 539, 3568, 449, 7194, 320, 66163, 11, 25605, 477, 13709, 4390, 2520, 26168, 323, 14800, 11, 279, 11156, 5178, 315, 9932, 2410, 11008, 6956, 87880, 288, 374, 10666, 449, 264, 2728, 5133, 1990, 7410, 323, 9499, 13, 6104, 369, 59333, 11, 279, 11156, 5178, 520, 43132, 41652, 7133, 591, 220, 16, 4787, 374, 10666, 14392, 279, 3230, 1218, 12130, 3368, 2819, 369, 59333, 14085, 1821, 323, 3956, 11, 2728, 439, 264, 734, 315, 9499, 13, 1115, 3388, 5825, 279, 26168, 323, 14800, 350, 482, 274, 47287, 323, 872, 3682, 5178, 18845, 68683, 304, 264, 2478, 12678, 439, 264, 734, 315, 26168, 323, 14800, 7410, 11595, 323, 3318, 15962, 3148, 6530, 4478, 13, 1789, 1855, 59333, 1162, 6646, 11, 59333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3956, 18528, 389, 2225, 4785, 323, 35751, 8197, 374, 2728, 304, 5769, 1299, 1376, 323, 68683, 304, 264, 2478, 12678, 13, 7429, 11, 35678, 9499, 11, 43132, 41652, 24264, 36172, 519, 311, 10633, 11595, 323, 10633, 5190, 24494, 907, 320, 24056, 53, 8, 527, 10666, 304, 5769, 1299, 1376, 323, 68683, 304, 264, 2478, 12678, 13, 578, 3984, 2612, 828, 323, 31794, 2187, 832, 311, 8417, 279, 3682, 59333, 5178, 7016, 323, 18845, 627, 2520, 1207, 942, 292, 82981, 11, 3722, 882, 323, 30985, 11, 279, 11156, 5178, 315, 9932, 25633, 1260, 6530, 6956, 374, 10666, 449, 264, 2728, 5133, 1990, 9499, 323, 7410, 439, 264, 734, 315, 279, 18798, 5742, 13, 1115, 3388, 5825, 279, 25633, 1260, 6530, 6956, 350, 482, 274, 47287, 323, 872, 3682, 5178, 18845, 320, 267, 3326, 367, 927, 1118, 9499, 323, 7410, 11595, 2819, 8, 527, 68683, 304, 264, 2478, 12678, 439, 264, 734, 315, 279, 18798, 5742, 627, 644, 420, 3388, 3769, 11, 279, 5575, 5334, 11537, 449, 279, 10728, 4382, 323, 6913, 2410, 25492, 11, 2410, 11008, 6956, 87880, 288, 323, 25633, 1260, 6530, 6956, 323, 872, 350, 482, 274, 323, 305, 482, 350, 47287, 11, 5784, 323, 3682, 5178, 18845, 627, 17940, 1115, 17026, 198, 3, 966, 13, 410, 320, 3700, 1914, 1763, 76595, 25, 220, 15282, 8691, 198, 80550, 33675, 4377, 8651, 40981, 291, 8650, 91, 128001, 128000, 35960, 278, 11213, 5820, 315, 8762, 72426, 61495, 67743, 268, 113547, 5318, 484, 114405, 304, 10007, 76754, 34815, 198, 35, 1216, 31722, 11, 386, 16016, 2418, 3258, 11, 423, 627, 2300, 316, 5848, 5513, 220, 4645, 7, 17, 1680, 220, 1484, 12, 6640, 198, 35960, 278, 8762, 11213, 828, 505, 264, 3116, 4771, 4007, 527, 10666, 369, 220, 777, 9606, 315, 5318, 484, 3447, 33152, 311, 279, 84535, 69472, 16382, 11, 18235, 316, 16751, 355, 11, 393, 40512, 316, 774, 17270, 11, 328, 4055, 261, 454, 31392, 1764, 11, 323, 9538, 35178, 13, 362, 2860, 315, 220, 17, 11, 19631, 57749, 574, 14890, 13, 2468, 279, 4007, 2816, 304, 18561, 9784, 11, 1455, 9606, 32122, 2391, 520, 3325, 220, 23, 4038, 315, 279, 1060, 13, 9220, 9606, 32122, 1193, 3389, 304, 279, 1060, 13, 2052, 9606, 8710, 13160, 65649, 304, 37492, 505, 1060, 311, 1060, 13, 510, 791, 2768, 9606, 527, 14407, 25, 469, 13, 70240, 307, 3444, 11, 469, 13, 357, 268, 4021, 66826, 11, 469, 13, 274, 9563, 263, 6043, 11, 469, 13, 19205, 8977, 275, 6043, 11, 469, 13, 7251, 2249, 6374, 11, 469, 13, 12903, 333, 2473, 11, 393, 13, 68111, 355, 11, 393, 13, 264, 848, 355, 11, 393, 13, 5438, 15168, 72, 11, 393, 13, 297, 3395, 460, 11, 393, 13, 8528, 16381, 3893, 11, 393, 13, 1675, 484, 7675, 11, 393, 13, 5801, 1907, 64, 11, 393, 13, 5801, 1907, 64, 11, 393, 13, 348, 438, 91311, 72, 11, 328, 13, 23423, 15095, 276, 3074, 11, 350, 13, 22892, 275, 460, 11, 350, 13, 70240, 307, 87778, 11, 350, 13, 477, 34397, 575, 16550, 11, 350, 13, 17764, 598, 13, 948, 128001, 128000, 1163, 1609, 2234, 82371, 374, 264, 8624, 430, 1274, 649, 2339, 422, 814, 527, 78549, 555, 83201, 29374, 449, 279, 17188, 13, 1102, 374, 19029, 2324, 62999, 11, 719, 433, 649, 5353, 38883, 16066, 13, 1102, 13551, 1063, 13803, 449, 279, 1790, 2731, 22015, 8624, 69263, 439, 1664, 439, 279, 1167, 11755, 17188, 11, 902, 706, 1027, 264, 5357, 315, 3772, 6666, 927, 279, 3347, 2478, 1667, 13, 10541, 433, 2643, 387, 19655, 430, 523, 1609, 2234, 82371, 374, 45408, 311, 1063, 3230, 35148, 5961, 1405, 433, 706, 1027, 3967, 311, 12446, 11, 279, 4435, 6401, 21021, 596, 13443, 12391, 6062, 13, 4314, 12678, 1501, 430, 1418, 279, 8624, 374, 1790, 810, 46941, 304, 10384, 323, 279, 7904, 1207, 75695, 11, 433, 1101, 13980, 304, 1063, 53474, 5961, 2860, 11, 2737, 279, 7427, 323, 17089, 315, 11104, 4606, 627, 34, 91871, 6784, 304, 279, 35358, 374, 264, 12717, 523, 1609, 2234, 82371, 49648, 13, 578, 17563, 596, 19018, 836, 4131, 505, 264, 3492, 304, 459, 11904, 4221, 430, 16964, 18570, 889, 9221, 682, 38817, 323, 30280, 304, 279, 3663, 315, 15748, 6784, 13, 763, 420, 1648, 11, 279, 836, 4876, 2740, 16964, 1202, 5536, 389, 6978, 13, 1102, 374, 2653, 311, 1440, 1268, 1317, 279, 6784, 690, 1566, 13, 763, 279, 8857, 315, 5157, 11, 420, 6784, 9731, 369, 264, 5743, 315, 2919, 11, 719, 433, 1436, 6847, 1566, 3892, 5672, 13, 2684, 527, 1101, 1063, 1162, 53210, 1405, 10496, 51266, 8738, 927, 264, 2478, 4038, 11, 323, 304, 279, 1455, 14560, 5157, 11, 814, 1436, 1566, 369, 264, 2478, 1667, 627, 2028, 11670, 49648, 315, 779, 1690, 2204, 13124, 315, 49909, 1101, 3752, 4861, 279, 42080, 315, 523, 1609, 2234, 82371, 13, 1442, 4423, 11321, 814, 1051, 78549, 555, 264, 50646, 323, 682, 315, 264, 11210, 814, 1212, 311, 1629, 264, 34653, 11, 814, 1288, 387, 10273, 369, 523, 1609, 2234, 82371, 13, 1115, 34653, 1253, 5662, 439, 1579, 439, 220, 6849, 435, 320, 1272, 356, 8, 323, 1566, 369, 264, 5743, 315, 2919, 13, 7648, 17037, 11, 279, 34653, 1081, 2436, 2949, 922, 264, 2046, 477, 779, 315, 279, 50646, 23556, 13, 7570, 422, 279, 3927, 596, 17563, 11263, 420, 5497, 11, 459, 13687, 23842, 374, 539, 779, 4382, 13, 1442, 814, 3974, 304, 459, 3158, 1405, 420, 8624, 374, 1633, 9024, 11, 433, 12992, 279, 13336, 315, 264, 5076, 23842, 13, 11699, 13803, 1253, 6847, 636, 22568, 449, 69263, 323, 1023, 810, 11537, 49909, 627, 45, 3538, 64, 374, 264, 49648, 6222, 449, 264, 1317, 1160, 315, 1023, 49909, 13, 763, 279, 1176, 18094, 315, 523, 1609, 2234, 82371, 11, 6978, 3629, 22752, 275, 13, 35802, 505, 279, 47989, 2136, 11, 420, 649, 1101, 4546, 389, 5217, 2890, 5435, 13, 578, 7524, 31301, 315, 279, 3823, 2547, 7612, 264, 5912, 23730, 315, 67849, 323, 37493, 13, 1102, 374, 8104, 3062, 311, 5766, 10671, 409, 26233, 660, 449, 682, 315, 1202, 5938, 2890, 37064, 13, 1442, 279, 8893, 4250, 3412, 1523, 3691, 323, 7172, 369, 264, 4261, 11, 814, 527, 29991, 311, 4822, 1664, 95831, 13, 10541, 420, 8624, 5196, 374, 19029, 19094, 779, 1317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 439, 279, 8893, 1587, 539, 3719, 409, 26233, 660, 11, 902, 649, 5536, 872, 2890, 29057, 304, 1023, 5627, 627, 2746, 4423, 8638, 311, 2733, 1633, 85042, 1306, 3794, 78549, 555, 264, 50646, 11, 1070, 374, 264, 2944, 311, 15562, 814, 2643, 617, 8040, 523, 1609, 2234, 82371, 13, 4314, 523, 3385, 527, 2500, 49648, 430, 8111, 304, 279, 2926, 10474, 315, 279, 8624, 13, 2684, 374, 6118, 264, 7781, 315, 1403, 477, 2380, 2919, 1990, 279, 23556, 323, 279, 42080, 315, 279, 523, 3385, 13, 4314, 523, 3385, 656, 539, 6118, 1566, 369, 810, 1109, 264, 2478, 2919, 13, 2876, 1475, 1732, 889, 5334, 523, 1609, 2234, 82371, 11704, 1521, 523, 3385, 13, 763, 2144, 11, 304, 264, 2478, 315, 279, 7625, 5086, 5157, 315, 420, 29962, 8624, 11, 1521, 12195, 315, 30020, 1253, 387, 21907, 653, 34551, 8499, 627, 1542, 19846, 55403, 7170, 12446, 3235, 449, 279, 10496, 6784, 323, 34653, 304, 420, 8624, 596, 33269, 6566, 13, 1666, 449, 1521, 1023, 13803, 11, 1521, 55403, 1212, 1063, 2919, 1306, 279, 29374, 50646, 2766, 1124, 13, 578, 7781, 4261, 1990, 279, 23556, 323, 279, 11341, 315, 420, 49648, 649, 387, 439, 2875, 439, 2380, 2919, 477, 439, 1317, 439, 264, 2046, 13, 763, 1690, 5157, 11, 279, 55403, 656, 539, 3136, 7953, 264, 5743, 315, 2919, 11, 719, 304, 279, 1455, 15748, 13422, 11, 814, 1253, 23135, 369, 264, 2046, 477, 779, 627, 644, 1202, 2926, 6566, 11, 921, 1609, 2234, 82371, 649, 5353, 436, 14380, 311, 1464, 704, 389, 49695, 323, 1023, 5789, 315, 279, 2547, 13, 46402, 11, 420, 57342, 5097, 279, 1376, 315, 264, 9408, 2579, 28675, 389, 279, 6930, 13, 763, 5369, 311, 279, 57342, 11, 6978, 1101, 7170, 7831, 505, 1069, 20659, 6930, 323, 279, 6930, 90319, 3967, 439, 33832, 90600, 32199, 13, 578, 8624, 1436, 1524, 5353, 1124, 311, 2274, 11013, 8725, 17254, 13, 1442, 420, 374, 264, 14595, 1162, 315, 523, 1609, 2234, 82371, 11, 1521, 6930, 5435, 1288, 32153, 2085, 6514, 2949, 1403, 477, 2380, 5672, 11, 477, 11000, 1524, 31373, 627, 4599, 279, 523, 1609, 2234, 82371, 29962, 8624, 1176, 5097, 3789, 304, 264, 8893, 11, 433, 649, 5353, 15748, 69393, 13, 1115, 49648, 2643, 539, 5101, 3156, 264, 2046, 706, 5946, 505, 279, 892, 279, 50646, 2766, 1124, 13, 1102, 1436, 1935, 264, 2478, 2919, 1603, 69393, 3846, 2315, 13, 12220, 420, 892, 11, 7931, 1205, 311, 387, 5066, 16994, 311, 6106, 814, 7172, 40044, 311, 70543, 819, 279, 56406, 814, 9229, 505, 872, 2547, 311, 5471, 99857, 627, 73055, 11, 420, 8624, 19029, 11384, 4851, 5674, 11, 719, 433, 1436, 12446, 304, 17395, 15082, 13, 763, 21249, 13422, 11, 279, 8624, 1436, 5353, 459, 37140, 315, 279, 4851, 16124, 13, 10541, 71305, 527, 9024, 11, 420, 374, 264, 2592, 315, 4747, 369, 1274, 889, 2736, 617, 1063, 4851, 5435, 11, 323, 369, 24869, 323, 279, 29920, 13, 578, 8857, 315, 6978, 889, 2274, 15748, 523, 1609, 2234, 82371, 13803, 527, 927, 53474, 36399, 323, 832, 30277, 315, 1124, 2815, 439, 264, 1121, 13, 4452, 11, 420, 34973, 7216, 1587, 2759, 369, 264, 1633, 2678, 11668, 315, 279, 2860, 1396, 315, 6978, 889, 5226, 279, 8624, 627, 15841, 50405, 374, 264, 4279, 49648, 304, 279, 4216, 10474, 315, 279, 8624, 430, 6118, 12302, 2949, 264, 2046, 315, 279, 29374, 50646, 23556, 13, 1102, 374, 3629, 24895, 555, 34653, 11, 719, 1418, 279, 34653, 40758, 1120, 264, 2478, 2919, 11, 83511, 649, 3136, 369, 264, 2046, 13, 10541, 83511, 374, 539, 11660, 304, 5196, 11, 433, 7621, 729, 279, 2547, 596, 5933, 13957, 11, 323, 420, 649, 617, 810, 6129, 16296, 13, 9925, 50405, 649, 1101, 1304, 279, 3927, 2733, 43383, 1606, 814, 7784, 956, 3794, 904, 2800, 627, 644, 264, 2678, 1396, 315, 12715, 5157, 11, 1274, 29374, 449, 523, 1609, 2234, 82371, 7831, 505, 8071, 26288, 811, 13, 578, 12195, 315, 420, 3575, 2997, 264, 63244, 6147, 315, 279, 8071, 323, 264, 27541, 311, 10107, 13001, 13, 9029, 889, 3217, 420, 3575, 1288, 1934, 433, 1314, 3201, 439, 18985, 12850, 1253, 387, 3025, 311, 3085, 22972, 311, 3493, 16337, 505, 279, 37140, 627, 2028, 2816, 6209, 2038, 6319, 369, 16627, 10096, 1193, 13, 1472, 1288, 539, 17631, 389, 904, 2038, 389, 420, 2816, 439, 264, 28779, 369, 6721, 6593, 9650, 11, 23842, 11, 6514, 11, 477, 439, 264, 28779, 369, 11, 6721, 42316, 2512, 11, 9650, 11, 23842, 11, 477, 6514, 13, 1442, 499, 617, 904, 10742, 477, 4860, 922, 701, 2890, 11, 499, 1288, 2744, 8666, 449, 264, 28378, 477, 1023, 18985, 6721, 13, 128001, 128000, 32, 97617, 41352, 7913, 3224, 389, 279, 24024, 31284, 315, 279, 38785, 15379, 11, 6921, 374, 279, 1193, 1614, 304, 279, 1917, 449, 264, 8857, 13653, 7187, 627, 791, 13096, 315, 279, 4846, 8013, 35381, 315, 42034, 323, 279, 9886, 315, 279, 1614, 315, 6921, 304, 279, 1667, 1306, 279, 842, 315, 4435, 5111, 8105, 574, 279, 93301, 315, 279, 78573, 7351, 11, 6832, 9395, 574, 264, 56336, 369, 17420, 38067, 682, 927, 279, 1917, 13, 4740, 279, 32527, 44198, 7410, 14264, 369, 279, 6625, 18324, 315, 264, 13653, 1614, 11, 323, 304, 220, 6393, 23, 6921, 14610, 1202, 24589, 2768, 264, 6781, 7055, 311, 17071, 42034, 627, 1271, 279, 9909, 315, 6921, 374, 279, 38785, 15379, 11, 902, 3727, 709, 279, 8857, 315, 6921, 753, 220, 15451, 13437, 80944, 13, 6921, 50699, 220, 18517, 13437, 505, 10411, 311, 10007, 11, 323, 1202, 2430, 21986, 505, 220, 8011, 13437, 311, 11, 520, 1202, 15376, 478, 1486, 11, 220, 868, 13437, 13, 578, 16286, 72658, 44299, 389, 279, 63263, 315, 279, 38785, 374, 2162, 311, 71049, 3346, 315, 279, 7140, 753, 7187, 627, 791, 10007, 315, 6921, 374, 30801, 555, 279, 4275, 713, 85, 24521, 18702, 810, 1109, 4376, 315, 279, 3224, 753, 2860, 4363, 3158, 13, 578, 10411, 315, 279, 4275, 713, 85, 5727, 279, 62734, 276, 43286, 11, 902, 5727, 279, 15371, 15379, 902, 11, 520, 25173, 19561, 296, 374, 279, 15821, 1486, 389, 9420, 13, 128001, 128000, 14755, 62612, 82, 34464, 15634, 389, 5651, 220, 1627, 11, 220, 2366, 15, 555, 26486, 291, 56619, 12037, 420, 1772, 5348, 62612, 82, 34464, 85038, 12332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6401, 11, 31626, 519, 11680, 11, 323, 432, 33211, 12007, 1226, 527, 25051, 264, 92456, 4545, 304, 1057, 3224, 753, 3925, 13, 763, 279, 15508, 315, 264, 3728, 28522, 11, 24050, 6020, 54682, 31702, 11, 323, 8738, 4379, 63132, 323, 89495, 11, 5348, 11, 10690, 11, 323, 54502, 10977, 527, 91156, 311, 7631, 54584, 2349, 2949, 3109, 323, 1057, 14673, 13, 58237, 279, 3224, 11, 10977, 527, 31299, 674, 2685, 1263, 22993, 2001, 264, 43665, 315, 279, 35663, 37498, 315, 3300, 9919, 323, 5415, 2793, 304, 55671, 323, 22156, 11, 1418, 1023, 6067, 11, 1093, 6913, 13709, 315, 52011, 1330, 11, 527, 12305, 477, 37779, 315, 872, 2736, 17832, 11006, 13, 362, 49791, 2763, 304, 76479, 6798, 28101, 369, 23738, 323, 22599, 13, 3639, 374, 26486, 291, 753, 2035, 304, 420, 7351, 30, 1666, 459, 7471, 1701, 49791, 4363, 439, 264, 11298, 311, 7417, 4029, 2890, 11, 433, 374, 3062, 369, 603, 311, 10765, 279, 7294, 12, 14755, 12659, 902, 7124, 1057, 3347, 323, 6211, 279, 35782, 315, 1057, 3118, 13, 17586, 420, 13356, 11, 584, 4250, 4259, 306, 2740, 8854, 279, 10977, 1455, 11754, 555, 279, 8389, 6372, 315, 17508, 8437, 582, 6709, 13, 18682, 40314, 291, 19739, 19661, 447, 1385, 649, 387, 51400, 311, 1268, 27512, 10736, 527, 20816, 11, 5423, 994, 433, 4131, 311, 17880, 41370, 4363, 13, 1226, 1518, 430, 17880, 29799, 49791, 6012, 527, 38626, 304, 10977, 315, 1933, 323, 539, 42777, 369, 13, 1226, 1518, 430, 3682, 586, 17517, 527, 36646, 2085, 4245, 18361, 369, 15337, 11, 2254, 11, 23413, 29799, 9873, 13, 1226, 1518, 430, 502, 26006, 527, 1694, 20968, 1418, 6484, 10632, 11, 4029, 19169, 11, 323, 6307, 12908, 527, 2163, 311, 95127, 369, 5694, 13, 82117, 311, 2035, 264, 3428, 2320, 8948, 389, 26012, 304, 12818, 4787, 11705, 50401, 83057, 11, 22313, 52085, 12434, 27052, 11, 323, 12992, 279, 5326, 315, 4379, 9349, 13, 2650, 374, 420, 834, 97112, 304, 5348, 33100, 21091, 30, 1666, 832, 3187, 11, 304, 220, 679, 24, 11, 19545, 47, 964, 10155, 86194, 45776, 11, 43261, 876, 33495, 14438, 753, 4033, 32083, 9266, 11, 4756, 264, 2472, 2949, 1202, 15613, 529, 8641, 430, 28544, 21102, 5348, 33100, 13, 3277, 4691, 3249, 420, 574, 2884, 11, 19545, 47, 964, 10155, 86194, 45776, 40702, 37110, 10783, 315, 18729, 323, 26545, 32951, 291, 430, 279, 2472, 574, 10825, 311, 1893, 907, 369, 9873, 430, 1047, 15075, 1008, 3634, 11, 555, 10043, 502, 2626, 872, 1648, 13, 1666, 2500, 3187, 11, 304, 7552, 220, 2366, 15, 11, 64373, 88487, 3907, 3549, 264, 4528, 2472, 369, 1176, 4771, 4236, 902, 13750, 64800, 5348, 33100, 505, 279, 6945, 13, 7429, 304, 220, 2366, 15, 11, 578, 29422, 380, 320, 47, 1468, 26320, 8, 4756, 264, 2472, 315, 220, 9756, 3585, 315, 2802, 430, 1051, 15871, 38626, 304, 4251, 33100, 13, 2052, 315, 1521, 14370, 19570, 2001, 3508, 37304, 477, 70576, 750, 2001, 430, 5348, 33100, 656, 539, 5030, 13, 9220, 10507, 315, 36033, 14370, 315, 28627, 578, 11774, 315, 51533, 49791, 10283, 13334, 7953, 16615, 16763, 13, 578, 2763, 389, 279, 2163, 706, 459, 23838, 7458, 323, 927, 74189, 430, 706, 1903, 279, 42190, 82828, 13, 1115, 1984, 374, 55212, 304, 459, 19451, 315, 39332, 430, 374, 71867, 304, 2254, 11, 1614, 11, 323, 5426, 10396, 323, 11006, 30601, 13, 6193, 892, 11, 279, 409, 838, 7623, 315, 5348, 33100, 11384, 12818, 12032, 311, 39436, 349, 11, 4726, 52875, 1113, 12205, 19661, 447, 1385, 11, 323, 6968, 83057, 304, 5496, 4787, 13, 62612, 82, 449, 49791, 6012, 1253, 1101, 3217, 1023, 4819, 40986, 505, 51533, 477, 27334, 14054, 13709, 11, 2737, 89417, 82835, 11, 41165, 39682, 11, 653, 59707, 13766, 13284, 79152, 11, 323, 304, 5323, 3225, 13, 4275, 25068, 527, 3815, 279, 990, 311, 3820, 709, 279, 46719, 13, 578, 8857, 315, 26486, 291, 12332, 33099, 800, 365, 2402, 527, 22916, 5348, 3278, 11, 21973, 304, 279, 33251, 315, 653, 4150, 4363, 323, 4029, 13709, 3966, 13, 26486, 291, 34744, 5304, 25076, 311, 656, 1148, 584, 649, 311, 46794, 1521, 11364, 12818, 34838, 11, 719, 279, 4360, 8625, 430, 1521, 11062, 17210, 13426, 311, 264, 3363, 430, 1587, 539, 2793, 1884, 10736, 3312, 35768, 1139, 872, 33100, 13, 12332, 33099, 800, 365, 2402, 1935, 2512, 315, 12818, 52011, 1330, 323, 49791, 10283, 13, 3639, 26486, 291, 6944, 374, 4382, 13, 1226, 1390, 311, 1518, 4363, 42777, 369, 1606, 433, 374, 279, 16665, 315, 264, 3831, 4029, 13, 7997, 287, 49791, 4363, 706, 279, 2410, 311, 5276, 279, 14054, 315, 264, 12818, 13, 26349, 32498, 613, 11, 10195, 12637, 520, 279, 5955, 369, 12332, 16418, 11, 15100, 430, 2886, 6147, 49791, 4363, 649, 5376, 3424, 2819, 11, 7417, 2890, 11, 323, 8108, 9977, 13, 15903, 11, 433, 374, 264, 59314, 8446, 430, 39990, 15528, 10977, 13, 763, 19895, 11, 264, 4007, 389, 279, 5536, 315, 2886, 6147, 49791, 4363, 304, 1054, 9416, 2922, 32611, 16036, 5110, 863, 927, 220, 972, 4038, 5068, 264, 220, 3174, 13, 20, 4, 18979, 304, 16024, 315, 18710, 11, 264, 220, 1135, 13, 24, 4, 18979, 304, 16024, 315, 5922, 33028, 11, 323, 264, 220, 5538, 13, 23, 4, 18979, 304, 8244, 659, 85296, 8009, 10723, 2890, 13, 93696, 304, 279, 14054, 315, 264, 12818, 11705, 264, 502, 1376, 315, 586, 7296, 430, 75549, 505, 264, 9498, 12818, 5918, 389, 7095, 323, 2512, 13, 3277, 584, 1541, 1431, 1935, 2512, 315, 49791, 4363, 323, 23838, 6012, 304, 5348, 10977, 11, 584, 8881, 264, 3363, 430, 1587, 539, 907, 11, 18890, 11, 477, 6144, 1057, 5348, 19228, 13, 26486, 291, 13919, 430, 5348, 40495, 34464, 323, 430, 5348, 62612, 82, 34464, 13, 432, 33211, 25452, 7612, 4737, 2512, 315, 1057, 19228, 11, 505, 279, 5015, 709, 13, 42626, 309, 14337, 12, 6600, 7403, 374, 279, 18362, 10783, 315, 26486, 291, 56619, 13, 42626, 309, 706, 264, 11060, 753, 304, 4409, 28780, 323, 13919, 430, 499, 4250, 11322, 19739, 25452, 2085, 28118, 29079, 19661, 447, 488, 13, 35724, 70391, 30660, 32580, 374, 264, 393, 84489, 37946, 520, 26486, 291, 56619, 13, 17331, 872, 3560, 11, 35724, 70391, 30660, 374, 3318, 311, 5376, 4029, 9266, 311, 2274, 4363, 304, 872, 33100, 13, 128001, 128000, 88545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47224, 374, 10815, 311, 25983, 60745, 6680, 6530, 11, 902, 374, 5938, 449, 7319, 5326, 315, 44531, 753, 8624, 323, 10723, 17563, 11, 4184, 311, 264, 502, 4007, 304, 279, 10139, 315, 44531, 753, 24959, 561, 320, 41, 1846, 4390, 2170, 264, 1732, 753, 4785, 5900, 709, 11, 682, 13918, 315, 279, 8271, 733, 1523, 304, 5820, 323, 6680, 6530, 11, 4184, 311, 264, 502, 8271, 32758, 4007, 304, 279, 10139, 315, 44531, 753, 31974, 13, 3861, 315, 279, 7928, 7978, 31799, 33048, 449, 8271, 32403, 11, 14248, 30239, 927, 220, 1758, 11, 931, 16003, 18247, 38025, 4210, 43739, 1701, 3254, 63837, 26934, 41353, 6500, 1534, 10390, 5814, 505, 810, 1109, 220, 1114, 11, 931, 7931, 311, 6767, 6680, 6530, 323, 8271, 5820, 627, 25162, 60745, 6680, 6530, 374, 279, 674, 16, 8271, 32758, 62254, 430, 264, 1732, 690, 2274, 44531, 753, 8624, 13, 1102, 374, 1101, 5938, 449, 18710, 11, 52564, 11, 65919, 19823, 11, 58533, 11, 54286, 8271, 11134, 11, 27471, 11, 18639, 11, 323, 1023, 4787, 13, 1054, 2028, 4007, 5039, 430, 1694, 50254, 477, 50320, 14243, 25949, 8271, 5820, 323, 12992, 279, 5326, 369, 44531, 753, 8624, 439, 1664, 439, 1690, 1023, 47657, 323, 25702, 4787, 2476, 11497, 15469, 480, 13, 62496, 11, 14306, 11, 279, 4007, 753, 3063, 3229, 323, 19533, 315, 62496, 18905, 1233, 11, 832, 315, 279, 6522, 8271, 50482, 10723, 2890, 44335, 304, 279, 3723, 4273, 13, 128001, 128000, 4438, 617, 279, 11618, 315, 6617, 2065, 323, 81069, 40028, 8776, 3674, 14726, 323, 12659, 304, 6890, 11, 323, 1148, 706, 1027, 279, 3560, 315, 3109, 323, 8431, 8396, 304, 28118, 1521, 4442, 30, 38527, 325, 627, 102393, 100486, 101391, 100349, 117804, 100358, 100287, 121350, 100460, 117804, 48909, 44747, 84736, 102903, 86133, 100322, 102089, 73414, 100282, 35470, 100348, 101753, 92317, 100271, 84736, 100273, 118950, 100349, 69258, 100497, 100675, 100349, 69258, 123418, 106752, 102089, 73414, 100358, 84736, 123754, 102089, 73414, 48909, 55675, 48909, 101671, 35470, 84736, 106817, 100780, 100428, 48909, 100322, 24810, 85410, 101411, 100358, 102534, 100406, 112949, 117016, 100311, 48909, 55675, 100768, 103979, 105951, 100428, 100855, 35470, 92317, 100271, 103549, 100273, 100358, 100282, 112539, 100349, 100768, 100675, 48909, 44747, 48909, 100305, 24810, 100348, 105542, 100349, 24810, 100697, 44747, 85410, 122127, 100287, 101043, 100914, 104868, 100572, 100331, 115375, 644, 420, 3488, 11426, 1205, 311, 3350, 922, 1268, 279, 1920, 315, 1174, 50889, 2065, 323, 81069, 40028, 8776, 3674, 14726, 323, 12659, 304, 6890, 11, 644, 2132, 961, 3350, 279, 3560, 315, 3109, 304, 28118, 1521, 4442, 16853, 791, 1920, 315, 6617, 2065, 323, 8121, 2065, 374, 1511, 311, 7664, 1268, 6696, 323, 5557, 617, 1903, 279, 1917, 264, 810, 8599, 323, 958, 38655, 2035, 13, 8121, 2065, 1101, 41255, 304, 1202, 7036, 279, 7100, 323, 3674, 4442, 430, 617, 2586, 922, 439, 264, 1121, 627, 7894, 315, 6617, 2065, 323, 81069, 389, 7904, 8396, 7058, 12, 54752, 315, 264, 8396, 505, 264, 19624, 323, 40574, 8997, 3044, 311, 264, 37019, 11, 16036, 11, 323, 13076, 832, 627, 12, 1102, 374, 15499, 10815, 449, 13076, 2065, 13, 1666, 34775, 6617, 553, 11, 279, 3927, 9221, 15098, 3062, 11, 27115, 25935, 279, 3070, 11, 4029, 11, 477, 65195, 1912, 439, 279, 6913, 5089, 315, 8396, 627, 12, 14829, 315, 23791, 11, 29683, 315, 13076, 2065, 11, 374, 1101, 9435, 311, 14673, 11, 902, 3719, 810, 7701, 28175, 13, 12361, 315, 1694, 27800, 555, 14135, 477, 2587, 11, 8396, 4131, 311, 387, 27800, 4184, 311, 8278, 16565, 60394, 369, 430, 7580, 627, 12, 46560, 10597, 21463, 3629, 18174, 304, 12939, 11, 323, 35947, 13042, 25022, 527, 3629, 5675, 627, 12, 11104, 14673, 1093, 23641, 1887, 11, 586, 8735, 11, 6411, 7471, 11, 6617, 16088, 11, 2383, 11, 5099, 2637, 1051, 11784, 304, 1057, 3224, 627, 12, 11104, 6873, 7353, 6901, 279, 36721, 315, 279, 1274, 889, 3940, 7556, 315, 872, 3268, 323, 11542, 13, 578, 17219, 315, 279, 502, 2819, 11, 279, 25442, 323, 37019, 9090, 11, 323, 279, 89971, 315, 3927, 2191, 11, 22526, 323, 12437, 19655, 2294, 12939, 627, 12, 21496, 685, 315, 12624, 46045, 60487, 279, 58522, 369, 19054, 279, 5410, 315, 5496, 323, 8405, 3769, 23460, 369, 279, 1274, 627, 12, 9176, 15180, 19567, 3782, 1139, 1694, 13, 26778, 8776, 21463, 323, 12659, 88804, 311, 8396, 1051, 44310, 323, 1690, 502, 35869, 11, 14673, 323, 3674, 12659, 1051, 18306, 627, 12, 5751, 5557, 11, 30029, 11, 75505, 323, 5064, 1051, 6617, 1534, 6522, 311, 279, 7100, 1664, 33851, 315, 1057, 3224, 627, 12, 578, 30022, 315, 5054, 2819, 706, 1027, 312, 52243, 13, 21496, 287, 279, 26623, 1376, 315, 3109, 11, 682, 10068, 5415, 11, 902, 1047, 1027, 1234, 264, 63854, 292, 1376, 315, 3109, 11, 617, 1027, 27092, 1139, 279, 7904, 3314, 323, 279, 11447, 323, 55949, 315, 95450, 323, 61576, 485, 1590, 706, 1027, 76993, 627, 12, 2684, 617, 1027, 24693, 4442, 304, 3674, 14673, 1093, 11103, 11, 3070, 323, 69524, 11, 6968, 502, 7739, 315, 4398, 304, 3674, 2324, 11, 13901, 11, 5099, 627, 12, 578, 17219, 315, 279, 6617, 3445, 315, 10758, 11, 1778, 439, 40106, 323, 5951, 5944, 11, 40854, 2532, 11, 3805, 323, 9581, 5944, 11, 3577, 11, 323, 9063, 323, 12707, 617, 11754, 893, 753, 2324, 304, 28830, 43666, 627, 12, 34871, 315, 9919, 25, 1102, 706, 1027, 13240, 430, 555, 220, 10866, 15, 810, 1109, 220, 1135, 4, 315, 6890, 753, 7187, 690, 3974, 304, 9919, 13, 578, 30845, 315, 3600, 10706, 323, 3363, 2960, 2265, 2683, 9886, 706, 6197, 311, 7859, 19624, 311, 16036, 12172, 627, 12, 7904, 36105, 25, 374, 832, 315, 279, 1455, 5526, 31547, 1572, 4028, 279, 24867, 13, 22425, 2740, 11, 7904, 49659, 323, 42393, 1051, 832, 315, 279, 1455, 16495, 1306, 6696, 51967, 13, 393, 68404, 11, 63452, 11, 8620, 15657, 323, 1023, 11104, 15657, 617, 3719, 5115, 5526, 627, 12, 10846, 13381, 81211, 2968, 25, 578, 10205, 315, 11499, 8689, 706, 11293, 279, 3674, 4868, 430, 279, 10496, 3070, 3984, 13, 1115, 706, 6197, 311, 7191, 7100, 11, 2890, 323, 14604, 34104, 315, 2362, 4325, 3927, 198, 12, 8121, 2065, 1101, 3445, 7982, 958, 91746, 304, 1023, 17089, 12, 420, 649, 4819, 1093, 51168, 13408, 315, 5070, 13, 578, 50715, 1990, 1234, 16219 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 291, 11, 11469, 11, 323, 8040, 8625, 2704, 41608, 304, 1690, 5157, 627, 12, 8121, 2065, 1587, 617, 264, 2294, 2515, 389, 279, 12208, 9268, 323, 22484, 315, 17089, 430, 1205, 78020, 430, 76970, 279, 8389, 6372, 4856, 1109, 71701, 1124, 2085, 5363, 311, 1778, 10742, 627, 12, 578, 8389, 6372, 315, 81069, 389, 279, 7904, 24780, 527, 430, 449, 279, 5108, 315, 5557, 279, 1396, 315, 9511, 2631, 374, 25983, 323, 420, 19543, 304, 7859, 26690, 11, 5423, 304, 279, 25946, 315, 279, 35410, 11, 11742, 11, 15266, 11, 323, 24532, 19647, 627, 12, 2684, 527, 264, 2478, 11774, 369, 5220, 4245, 311, 81069, 1778, 439, 21943, 11, 60995, 11, 9511, 67276, 11, 10937, 11, 323, 4442, 304, 7512, 323, 5557, 627, 9207, 315, 3109, 311, 28118, 323, 36090, 1113, 1521, 4442, 7058, 12, 16803, 8396, 11335, 264, 16595, 3560, 304, 279, 18488, 315, 586, 10396, 311, 3449, 279, 4279, 9021, 323, 58522, 315, 264, 3728, 22618, 894, 627, 12, 3161, 279, 11599, 315, 8121, 8082, 11, 8431, 34775, 2751, 810, 17057, 11, 16287, 323, 34030, 13, 23674, 11, 433, 1101, 3940, 12588, 10736, 505, 6625, 7471, 369, 3230, 5353, 13, 1789, 3187, 11, 507, 5972, 309, 7095, 11, 3778, 28811, 16665, 5099, 627, 12, 54412, 304, 279, 16627, 14673, 323, 6020, 13291, 304, 279, 1376, 315, 55855, 5825, 1124, 7191, 2680, 311, 4367, 6873, 2112, 15881, 82, 706, 2728, 1124, 7899, 2403, 279, 47748, 627, 12, 578, 1176, 3062, 13543, 574, 279, 76445, 315, 279, 61576, 485, 2850, 1887, 11, 8370, 7108, 279, 6324, 315, 55275, 5548, 889, 14980, 1990, 279, 27981, 3046, 323, 279, 1614, 627, 12, 22395, 279, 1023, 3682, 4363, 15180, 7016, 430, 1051, 11784, 1051, 279, 5899, 6709, 76445, 323, 19812, 14385, 76369, 17644, 3060, 311, 65106, 5899, 6709, 31155, 477, 311, 37377, 63090, 311, 3041, 1063, 4868, 311, 279, 41016, 627, 12, 8121, 8082, 706, 3984, 20957, 449, 2731, 4367, 19595, 430, 617, 9087, 1124, 311, 5376, 872, 2027, 7692, 27216, 11084, 14645, 11, 20957, 617, 2731, 1645, 80, 434, 311, 9282, 79482, 1887, 902, 26338, 17393, 315, 19641, 8060, 627, 12, 578, 61593, 11050, 55293, 320, 5608, 82252, 8, 47032, 22526, 315, 6776, 323, 18189, 32305, 315, 20124, 11, 279, 44032, 315, 21934, 304, 2383, 11, 4947, 323, 3674, 6725, 11, 323, 41589, 77249, 28286, 315, 682, 1234, 279, 24206, 5915, 3451, 998, 5387, 19093, 4920, 529, 627, 12, 578, 31903, 315, 16036, 2065, 374, 66278, 28987, 279, 18475, 315, 7904, 8396, 13, 34648, 753, 7928, 9919, 617, 15042, 520, 11157, 279, 4478, 315, 1202, 2678, 25861, 323, 33889, 11, 449, 1690, 315, 279, 12992, 4245, 311, 19624, 12, 60159, 12172, 13, 32140, 3109, 6968, 14740, 10708, 304, 311, 22118, 12172, 4819, 16853, 12, 8121, 2065, 706, 6197, 311, 4814, 315, 64751, 13, 9393, 315, 433, 11, 1070, 527, 61469, 6325, 389, 279, 5536, 315, 8121, 8082, 27216, 7191, 17985, 4315, 279, 32738, 922, 872, 3268, 11, 279, 3109, 374, 3339, 264, 17371, 5149, 311, 21054, 872, 18651, 555, 7366, 7119, 264, 1314, 3196, 5603, 555, 665, 36022, 7016, 1093, 10860, 40, 11, 36095, 12450, 32, 323, 3885, 198, 12, 5783, 69524, 47451, 30026, 555, 3109, 66106, 33956, 69524, 1887, 374, 27115, 7231, 1648, 311, 31467, 40851, 13, 5783, 1824, 5642, 47451, 11, 958, 5424, 2785, 323, 3674, 4954, 449, 1023, 6445, 288, 374, 912, 5129, 27458, 439, 264, 77045, 16853, 12, 8121, 2065, 706, 9770, 20134, 6445, 288, 7119, 42887, 10706, 3815, 3026, 532, 7032, 4245, 311, 6996, 315, 82780, 7512, 13, 1789, 3187, 11, 35468, 3556, 13365, 3102, 4893, 617, 3719, 11630, 83750, 15232, 627, 12, 8121, 2065, 706, 3549, 810, 3634, 369, 3278, 304, 279, 7100, 28614, 13, 1115, 706, 6197, 311, 264, 5199, 16048, 315, 3278, 304, 6890, 753, 41589, 77249, 18921, 13, 1102, 706, 8617, 11, 9087, 304, 7231, 25152, 323, 10708, 311, 3278, 627, 791, 1920, 315, 81069, 706, 5614, 279, 13076, 5497, 323, 3674, 2324, 315, 1274, 13, 1115, 706, 1047, 459, 38883, 5536, 389, 7904, 6696, 11, 17452, 11, 323, 13042, 1887, 719, 433, 374, 5505, 1193, 994, 433, 690, 21813, 279, 22484, 11, 2324, 7739, 323, 86569, 315, 420, 11841, 13, 128001, 128000, 83146, 10604, 690, 4461, 4546, 3335, 15061, 8798, 17301, 11, 15748, 11422, 44583, 11, 8147, 90127, 11, 13892, 764, 29639, 11, 45272, 288, 323, 31179, 85245, 3647, 292, 4027, 83109, 482, 682, 315, 1124, 9564, 20727, 14054, 304, 872, 15508, 13, 50495, 9282, 4455, 527, 46350, 449, 7191, 11900, 323, 2807, 4107, 1855, 1060, 13, 763, 220, 679, 23, 7636, 11, 36664, 8421, 26, 279, 1614, 315, 9784, 26, 279, 13218, 315, 31319, 34248, 26, 28366, 323, 40505, 8013, 19326, 26, 16642, 19313, 11, 37105, 323, 17355, 7188, 26, 2380, 4892, 9332, 31276, 323, 16642, 7188, 1051, 682, 6089, 11754, 555, 14560, 4455, 13, 1666, 1274, 682, 927, 279, 3723, 4273, 323, 279, 1917, 6013, 311, 279, 502, 4725, 315, 14560, 9282, 11, 1268, 1288, 2254, 17047, 6013, 5380, 15724, 11, 2254, 17047, 3663, 264, 27927, 743, 315, 11774, 1109, 814, 1550, 1120, 264, 2478, 1667, 4227, 13, 2435, 527, 75867, 97043, 2254, 37671, 11, 7319, 3966, 369, 11983, 11, 3090, 323, 14054, 13, 1628, 814, 527, 9455, 704, 430, 10977, 7784, 1431, 22852, 311, 279, 11774, 315, 10182, 2349, 3060, 13, 1226, 527, 9298, 39262, 12765, 304, 279, 1890, 7634, 1475, 1938, 11, 323, 420, 374, 10671, 14348, 304, 16036, 5789, 13, 74540, 398, 11, 2254, 17047, 527, 1694, 2663, 5304, 311, 1935, 810, 1957, 311, 2686, 14560, 9282, 4455, 11, 323, 430, 374, 24559, 1148, 814, 1288, 656, 1389, 1935, 1957, 311, 5471, 279, 25949, 11, 323, 11, 1405, 4460, 11, 50460, 279, 25949, 13, 45340, 1385, 430, 527, 12153, 311, 1977, 323, 10519, 14054, 311, 22884, 323, 18167, 1521, 14560, 9282, 4455, 5326, 9778, 10671, 653, 34667, 481, 627, 2170, 279, 25949, 315, 10182, 2349, 3240, 311, 83675, 66592, 4028, 3682, 58506, 5789, 11, 7859, 2680, 311, 2038, 11, 3495, 323, 12576, 369, 2254, 1385, 374, 9200, 627, 8586, 527, 4330, 2574, 1475, 57918, 1288, 387, 3815, 311, 10772, 369, 279, 11774, 323, 18208, 430, 2586, 449, 10223, 9282, 12912, 512, 16, 8, 19121, 459, 18751, 10182, 2349, 3197, 198, 77713, 2011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2713, 872, 10182, 2349, 3197, 311, 3118, 264, 47672, 11, 29408, 3197, 369, 14892, 449, 10182, 2349, 323, 52913, 22556, 10105, 311, 6144, 12032, 11, 11062, 323, 9873, 13, 4427, 315, 279, 810, 32855, 323, 5211, 88092, 7224, 5343, 304, 9919, 529, 10182, 2349, 6787, 1288, 387, 21190, 323, 24853, 1555, 586, 66377, 40705, 627, 17, 8, 8012, 8949, 1838, 321, 1873, 311, 31636, 10604, 198, 4599, 5933, 51751, 13471, 11, 19664, 10495, 3629, 2610, 11, 1268, 649, 584, 1520, 30, 3861, 1648, 6164, 649, 4320, 430, 3488, 374, 311, 1862, 2254, 40705, 1990, 93360, 323, 59589, 430, 1520, 311, 10772, 11062, 369, 323, 7945, 1306, 904, 33318, 1567, 13, 3296, 12899, 40705, 449, 2254, 2536, 10039, 30322, 323, 1862, 5315, 11, 2254, 3109, 649, 46345, 1520, 1274, 323, 9873, 13, 17331, 1778, 7620, 11, 1274, 527, 3984, 13291, 1306, 51751, 11, 323, 527, 1101, 3025, 311, 4430, 6848, 369, 4279, 31286, 323, 61003, 311, 2731, 6144, 872, 10977, 627, 18, 8, 8000, 2254, 13766, 13284, 6373, 3197, 198, 2520, 35335, 5789, 11, 16643, 17301, 323, 16643, 29592, 3152, 16643, 44583, 11, 323, 439, 9919, 3136, 311, 3139, 304, 7187, 11, 449, 810, 9515, 824, 53155, 11, 35335, 5789, 527, 9298, 5190, 323, 5190, 5578, 13766, 44745, 1855, 1060, 13, 3277, 44583, 8356, 3335, 55407, 1579, 10160, 30914, 82, 430, 5674, 323, 7066, 3544, 21282, 315, 14054, 11, 59589, 2011, 3240, 311, 2731, 10299, 279, 13766, 13284, 430, 28555, 1022, 872, 19795, 323, 14016, 13, 1115, 4536, 1431, 439, 4382, 10917, 709, 810, 2339, 479, 5789, 26, 264, 2731, 5603, 1053, 2997, 21630, 323, 13021, 9200, 10687, 1405, 8776, 20414, 2643, 539, 387, 7524, 11, 311, 4726, 46464, 279, 2955, 315, 10105, 627, 19, 8, 18880, 553, 389, 10708, 10666, 555, 10182, 2349, 198, 2170, 279, 25949, 315, 10182, 2349, 3719, 810, 38617, 11, 5597, 29414, 2011, 6106, 430, 814, 1541, 1431, 31805, 279, 10708, 369, 28118, 10182, 2349, 11774, 449, 264, 8205, 315, 18699, 10182, 10105, 11, 323, 505, 459, 7100, 13356, 13, 8949, 17047, 1288, 21635, 10182, 2349, 2853, 59085, 10708, 11, 1005, 3109, 23395, 7620, 311, 35608, 1148, 35748, 5131, 8493, 389, 586, 11822, 323, 3600, 323, 53825, 389, 1614, 3109, 7620, 430, 527, 810, 7524, 323, 19303, 304, 28118, 10182, 2349, 627, 20, 8, 11004, 17320, 14054, 26326, 627, 32, 4007, 505, 279, 27512, 3363, 315, 33108, 11, 7188, 11, 3727, 264, 2867, 323, 29722, 1162, 369, 26326, 287, 14054, 13, 578, 4007, 20536, 430, 56228, 279, 4409, 753, 15919, 14054, 26326, 1053, 539, 1193, 6144, 279, 4029, 505, 279, 5986, 6372, 315, 1523, 291, 32115, 36108, 505, 15748, 9282, 4455, 11, 51751, 11, 7458, 48453, 11, 323, 1023, 11384, 315, 9244, 100082, 323, 2410, 28950, 11, 719, 1053, 1101, 50460, 279, 4814, 315, 2410, 323, 17320, 11, 1555, 43766, 2955, 13, 578, 3495, 5039, 430, 26326, 2410, 323, 17320, 14054, 649, 6493, 3600, 311, 10977, 3117, 10819, 1109, 8776, 7479, 45218, 323, 430, 433, 649, 3493, 279, 1890, 7720, 439, 5410, 6067, 520, 264, 19983, 315, 279, 2853, 627, 44, 13917, 278, 1385, 323, 9873, 27083, 2011, 1935, 5296, 315, 279, 7859, 11900, 315, 54677, 10260, 220, 20, 89603, 14836, 369, 279, 6460, 16377, 315, 279, 3723, 4273, 13, 4800, 374, 279, 892, 311, 636, 6129, 922, 7941, 16101, 2410, 17135, 13, 15268, 969, 18060, 23508, 706, 279, 1193, 304, 79255, 11, 7941, 11, 6220, 11, 15062, 11, 323, 9966, 16101, 11863, 2410, 6136, 311, 2567, 9200, 1176, 70639, 11, 13147, 17320, 323, 9629, 14054, 709, 323, 4401, 1306, 264, 3682, 13766, 1567, 13, 5321, 3041, 603, 264, 1650, 477, 4034, 603, 520, 8604, 1896, 1658, 300, 635, 916, 128001, 128000, 32, 502, 1934, 3196, 389, 9249, 30519, 529, 1866, 7576, 21667, 264, 5199, 8815, 75867, 279, 38180, 8735, 439, 433, 1099, 680, 645, 449, 62908, 11756, 24767, 14640, 18306, 8254, 1667, 4227, 304, 279, 15508, 315, 5933, 51751, 627, 791, 25027, 19721, 16784, 30315, 3156, 6186, 311, 1935, 1202, 1176, 5199, 13627, 6299, 311, 6144, 10977, 505, 279, 11758, 315, 7230, 10831, 59872, 315, 11756, 24767, 323, 1023, 11756, 1481, 54444, 12571, 38067, 4028, 279, 3224, 11, 3629, 52929, 21503, 88959, 627, 4071, 1193, 4376, 315, 220, 14374, 2410, 11012, 449, 24767, 89455, 477, 4363, 67267, 430, 527, 3967, 311, 387, 35522, 1113, 72329, 7655, 430, 21993, 374, 5995, 11, 323, 220, 4161, 3346, 315, 1521, 47962, 388, 527, 39089, 311, 30714, 904, 72329, 6514, 11, 4184, 311, 279, 220, 11227, 15463, 1934, 11, 1054, 34004, 3416, 788, 18230, 455, 25, 578, 468, 3422, 21376, 33360, 315, 279, 7572, 24780, 311, 9785, 3216, 25850, 14937, 423, 12055, 2476, 555, 279, 25027, 65907, 5907, 323, 9420, 39868, 627, 791, 1934, 11, 6004, 7950, 11, 8349, 430, 1063, 2410, 5220, 527, 38484, 63614, 828, 323, 16967, 6067, 311, 5766, 21993, 8670, 323, 57515, 46579, 15174, 430, 690, 539, 15301, 72329, 4367, 627, 73849, 30563, 11, 264, 10195, 9420, 39868, 14065, 11, 7633, 279, 27250, 753, 3465, 439, 38883, 323, 36197, 430, 8903, 304, 961, 389, 279, 7138, 315, 279, 14640, 11, 902, 1051, 6319, 311, 387, 1054, 726, 38025, 2833, 287, 2476, 2085, 23537, 904, 1957, 555, 264, 23331, 9266, 11, 4184, 311, 27250, 627, 14305, 5064, 4250, 323, 1587, 539, 4379, 5196, 2476, 1071, 30563, 11, 1080, 43802, 315, 279, 1934, 13, 1054, 5530, 311, 1202, 1866, 7766, 11, 279, 15919, 5064, 706, 12146, 1475, 1022, 3880, 1141, 433, 1436, 1505, 311, 5766, 6220, 61000, 323, 16195, 4335, 8772, 13, 578, 38180, 27250, 374, 4560, 11, 719, 814, 527, 13824, 43868, 555, 39413, 5070, 13, 3314, 13607, 527, 10213, 7554, 304, 1957, 49216, 83146, 2349, 1193, 11621, 311, 15635, 315, 25793, 31135, 505, 24767, 6732, 11, 505, 15098, 21420, 323, 15748, 44583, 323, 39262, 11, 279, 1934, 10555, 627, 32, 1054, 6200, 3329, 14512, 304, 279, 1510, 6037, 863, 1587, 539, 1520, 11, 1071, 87949, 4608, 11, 264, 10195, 6576, 449, 25027, 65907, 5907, 11, 1101, 264, 1080, 43802, 13, 578, 220, 679, 20, 6037, 28544, 61481, 430, 10717, 12588, 12571, 1603, 220, 679, 20, 11, 323, 24767, 89455, 430, 1051, 6724, 32720, 704, 555, 1243, 323, 1047, 1101, 10717, 12588, 12571, 13, 1054, 644, 856, 3217, 11, 1455, 2410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11012, 617, 520, 3325, 832, 477, 1403, 11756, 24767, 61481, 430, 527, 539, 9960, 555, 279, 1510, 6037, 13, 1115, 14224, 3727, 72329, 21993, 1790, 16127, 49216, 644, 6287, 11, 9420, 39868, 13019, 264, 19831, 304, 549, 815, 13, 11182, 7301, 304, 6652, 11, 423, 732, 2637, 389, 17981, 315, 279, 25027, 65907, 5907, 11, 279, 36903, 10349, 323, 3892, 1023, 11351, 311, 3345, 279, 94095, 304, 279, 9266, 753, 5718, 58499, 279, 6373, 315, 11756, 24767, 61481, 430, 617, 514, 3939, 21503, 83661, 1139, 36617, 323, 44236, 4028, 279, 3224, 627, 791, 12434, 28424, 11, 3698, 287, 1555, 7576, 8621, 555, 30519, 389, 872, 13335, 439, 2631, 555, 279, 220, 679, 20, 14640, 11, 1047, 11054, 28016, 24767, 505, 2410, 11012, 49373, 304, 1825, 63008, 304, 7154, 220, 1272, 5415, 11, 3629, 449, 912, 54088, 6067, 311, 6144, 72329, 11, 477, 49373, 304, 2362, 4363, 67267, 87247, 2103, 653, 81722, 555, 27250, 627, 791, 8060, 315, 279, 13057, 8857, 315, 2410, 5220, 311, 1833, 279, 220, 679, 20, 25850, 14937, 18592, 11, 8405, 264, 743, 315, 6220, 34545, 8670, 11, 706, 6129, 16296, 369, 3090, 4367, 323, 586, 2890, 11, 4184, 311, 279, 502, 1934, 627, 99162, 828, 430, 5343, 5217, 2410, 6136, 7576, 11007, 264, 220, 679, 24, 1934, 6197, 555, 4608, 430, 220, 5925, 3346, 315, 549, 815, 13, 11756, 72678, 11012, 617, 24767, 4363, 67267, 477, 12571, 89455, 430, 527, 52929, 87364, 292, 11, 3063, 11, 51852, 11, 37045, 323, 1023, 37182, 1139, 72329, 520, 11660, 5990, 11, 3629, 27903, 23914, 11, 36617, 323, 16558, 3090, 15715, 99913, 11, 4184, 311, 279, 502, 4007, 627, 791, 74876, 21246, 10181, 11, 264, 6696, 1912, 430, 11105, 30693, 29799, 30519, 11, 706, 1317, 18908, 430, 9249, 5220, 527, 18646, 11756, 24767, 1054, 258, 5627, 430, 2231, 7296, 1176, 11, 6144, 279, 4676, 11, 30437, 25949, 311, 279, 4029, 11, 323, 10299, 7194, 369, 6444, 49216, 32, 18367, 369, 279, 74876, 21246, 10181, 1550, 539, 7214, 6013, 311, 264, 1715, 369, 4068, 627, 39125, 21964, 1291, 11, 11145, 7690, 315, 279, 26230, 22925, 49522, 44382, 5856, 11, 264, 6696, 1912, 14393, 30519, 430, 10299, 11756, 59333, 12571, 11, 1071, 430, 279, 12434, 5315, 529, 1934, 1054, 10200, 9773, 264, 20547, 5906, 19740, 2065, 315, 2225, 279, 320, 41565, 24767, 8, 6037, 323, 5064, 753, 8292, 315, 279, 6037, 13, 5751, 5064, 374, 11411, 311, 279, 6220, 5784, 323, 22722, 315, 320, 41565, 24767, 8, 34545, 8316, 11, 304, 8907, 449, 279, 320, 41565, 24767, 8, 6037, 49216, 31428, 11, 568, 1071, 11, 279, 1934, 1054, 69, 1147, 989, 57876, 430, 13077, 527, 32003, 47810, 323, 539, 15718, 6288, 3403, 2029, 26848, 11, 568, 1071, 11, 814, 527, 2768, 264, 1920, 9749, 555, 27250, 1054, 998, 6106, 430, 47810, 374, 36001, 323, 18300, 398, 34630, 10234, 13, 1442, 1070, 527, 25949, 311, 72329, 11, 2800, 28478, 430, 279, 2383, 7612, 430, 91852, 11193, 690, 3136, 3156, 72329, 9313, 10886, 527, 2322, 323, 11754, 5789, 527, 28822, 5352, 49216, 2127, 27250, 18740, 1071, 279, 9266, 574, 34988, 279, 12434, 1912, 753, 1934, 627, 644, 6186, 11, 27250, 29693, 8096, 328, 13, 3263, 276, 1071, 568, 16365, 279, 3575, 449, 11756, 24767, 11, 832, 315, 279, 1317, 9860, 2531, 27121, 315, 20252, 11756, 11, 38787, 459, 13627, 59233, 1306, 3116, 1667, 315, 5149, 555, 279, 3420, 8735, 311, 12234, 279, 11756, 24767, 14640, 627, 10378, 4070, 3970, 83668, 1268, 11756, 24767, 47810, 649, 13194, 1274, 323, 10977, 2476, 568, 1071, 13, 1054, 96773, 24767, 7479, 3242, 801, 1392, 323, 4363, 67267, 2011, 14816, 323, 3345, 304, 264, 11827, 430, 36236, 586, 2890, 323, 279, 4676, 13, 1789, 2288, 1317, 11, 10977, 2736, 73152, 40028, 555, 1579, 5990, 315, 25793, 617, 1027, 23104, 291, 555, 41086, 11756, 24767, 34545, 13, 11450, 753, 6299, 690, 1520, 603, 6144, 10977, 323, 3412, 13077, 36977, 13, 1226, 1427, 4741, 311, 3318, 449, 1057, 1614, 8717, 311, 10134, 5674, 430, 706, 2736, 10222, 13, 27250, 690, 1862, 10977, 449, 18783, 4346, 20392, 11, 11156, 13291, 11, 8907, 13291, 11, 323, 13627, 49216, 19999, 25027, 69653, 66526, 198, 1341, 45, 5825, 10292, 27875, 10182, 10401, 1949, 315, 6900, 323, 13172, 13, 1226, 17631, 389, 24910, 505, 13016, 1093, 499, 311, 2567, 2133, 920, 263, 349, 4800, 198, 36, 8201, 753, 220, 679, 20, 11756, 24767, 14640, 1051, 85747, 555, 220, 6330, 5157, 315, 3090, 47810, 520, 11756, 24767, 6732, 323, 1403, 3682, 51751, 11, 2737, 832, 304, 4892, 13030, 13, 763, 220, 679, 19, 11, 22781, 315, 9214, 315, 20181, 315, 11756, 24767, 74125, 505, 264, 27453, 12634, 2410, 6136, 1139, 279, 11824, 11188, 520, 51915, 11, 4892, 13030, 11, 28987, 220, 2031, 8931, 315, 279, 92456, 52452, 627, 644, 220, 1049, 23, 11, 1070, 574, 1101, 264, 54677, 24767, 39897, 3221, 96002, 11, 24097, 11, 994, 264, 56589, 68, 430, 574, 10168, 264, 16700, 315, 24905, 5294, 24767, 15187, 14760, 20784, 505, 279, 24097, 13345, 22677, 753, 63569, 2410, 6136, 13, 4427, 220, 3101, 27464, 1051, 1554, 1605, 291, 13, 578, 24767, 85750, 1139, 1403, 36617, 13, 14853, 10632, 1051, 14763, 11, 323, 22700, 810, 1051, 20727, 13, 763, 279, 1667, 2533, 11758, 315, 21993, 7487, 11299, 5986, 323, 1690, 617, 8636, 627, 24205, 11, 21993, 18911, 11774, 323, 264, 44463, 1180, 11, 15919, 5950, 20197, 617, 1071, 13, 763, 5936, 11, 1403, 315, 279, 7140, 753, 5950, 20197, 19201, 279, 27250, 430, 13627, 315, 11756, 24767, 14640, 34103, 15635, 311, 279, 31638, 315, 20314, 2532, 927, 264, 3544, 961, 315, 279, 3224, 627, 791, 6170, 3782, 505, 66080, 44, 5783, 6595, 323, 279, 14013, 75695, 22765, 744, 29598, 11, 477, 386, 25141, 11, 28016, 5655, 304, 3109, 28649, 1441, 1511, 555, 279, 27250, 311, 4430, 586, 7576, 323, 6667, 6170, 389, 279, 9266, 753, 13627, 315, 279, 11756, 24767, 14640, 627, 47, 90478, 323, 386, 25141, 19201, 430, 6299, 4529, 555, 279, 27250, 1436, 520, 3325, 28191, 9495, 1523, 11756, 11012, 994, 1070, 374, 264, 1205, 369, 872, 18200, 627, 791, 502, 1934, 505, 12434, 28424, 41857, 279, 220, 679, 20, 14640, 3794, 11756, 6136, 7980, 311, 8891, 72329, 323, 17880, 1934, 279, 3135, 13, 13266, 6821, 527, 1148, 279, 12434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5315, 25078, 311, 2586, 709, 449, 872, 14955, 627, 34710, 1124, 25, 220, 2031, 3346, 315, 279, 11012, 449, 89455, 15676, 449, 24767, 304, 477, 3221, 72329, 527, 7559, 304, 73152, 3428, 32197, 33100, 477, 10977, 315, 1933, 13, 1628, 315, 279, 220, 1987, 11012, 430, 617, 11411, 311, 520, 3325, 832, 21993, 1957, 11, 220, 1544, 527, 539, 3604, 27723, 72329, 11, 719, 527, 4619, 39661, 389, 1054, 1677, 37301, 5933, 95218, 2476, 902, 3445, 279, 5220, 690, 1120, 3821, 439, 279, 25793, 9731, 311, 513, 752, 1139, 279, 72329, 323, 6530, 1022, 9703, 11, 4184, 311, 279, 1934, 627, 791, 1934, 1101, 11054, 1148, 433, 11075, 1051, 279, 5899, 1455, 52673, 11756, 24767, 6732, 304, 279, 3224, 11, 3196, 389, 279, 13112, 315, 279, 47810, 13, 2435, 1051, 1766, 304, 8421, 11, 27966, 11, 49832, 11, 4892, 13030, 11, 20355, 11, 23481, 11, 29538, 11, 23195, 11, 323, 24097, 627, 46233, 2694, 11, 7000, 315, 1521, 11012, 527, 389, 3839, 311, 4686, 459, 26613, 11, 16195, 40239, 2476, 279, 1934, 1766, 13, 1054, 644, 2144, 11, 279, 6727, 315, 264, 1620, 40239, 706, 1027, 23540, 304, 1455, 5157, 13, 23674, 11, 682, 5899, 6732, 5101, 311, 387, 45462, 279, 25850, 14937, 18592, 449, 46579, 72329, 16967, 323, 6492, 11, 22109, 311, 2686, 682, 3967, 8336, 315, 47810, 11, 477, 6062, 31526, 16195, 21993, 49216, 791, 1934, 1903, 3892, 19075, 311, 279, 27250, 11, 2737, 2731, 13627, 11, 77880, 315, 11756, 24767, 14640, 11, 810, 12434, 16967, 11, 323, 79466, 279, 6725, 315, 10923, 30519, 311, 5387, 24767, 304, 2035, 422, 279, 12571, 374, 11961, 304, 72329, 627, 2118, 1737, 11167, 374, 4460, 7214, 311, 6106, 11756, 24767, 89455, 527, 539, 8036, 304, 72329, 11, 430, 7524, 21993, 3604, 13980, 11, 323, 430, 11756, 11012, 527, 31474, 10978, 16967, 323, 15813, 315, 872, 47810, 2476, 30563, 1071, 13, 1054, 4155, 315, 420, 374, 31965, 1457, 2029, 128001, 128000, 791, 11650, 8722, 4519, 264, 13318, 3852, 315, 13621, 11426, 889, 527, 11, 369, 5370, 8125, 11, 6316, 772, 481, 13, 22395, 1124, 11, 4869, 11, 374, 832, 9322, 889, 374, 520, 3325, 19054, 264, 16595, 4360, 449, 279, 4754, 311, 7958, 1475, 3778, 13, 1283, 374, 13929, 25482, 13, 362, 9500, 31650, 261, 889, 1903, 813, 12205, 304, 6295, 17829, 11, 25482, 706, 1027, 389, 279, 14713, 6964, 315, 279, 11191, 98057, 430, 527, 46890, 1057, 3224, 627, 18433, 315, 813, 3217, 304, 279, 13312, 10706, 323, 813, 34477, 315, 279, 5108, 98057, 433, 690, 1893, 11, 568, 34838, 279, 7434, 315, 26581, 14967, 33620, 320, 4594, 40, 570, 549, 8768, 374, 459, 84663, 8515, 8323, 12886, 311, 682, 10495, 32399, 11, 2085, 3445, 83255, 477, 1524, 264, 990, 16686, 627, 44, 16695, 62458, 323, 279, 51957, 33620, 15545, 198, 76065, 374, 21901, 315, 63025, 30994, 430, 549, 8768, 374, 539, 264, 502, 4623, 13, 1102, 753, 539, 1524, 264, 18250, 4947, 13, 763, 279, 220, 4468, 15, 82, 11, 2391, 279, 42726, 17128, 11, 279, 3389, 58447, 62458, 7396, 264, 4528, 7434, 3967, 439, 279, 51957, 33620, 15545, 320, 45, 964, 4390, 37, 4588, 1543, 753, 4623, 574, 430, 8689, 3339, 2753, 1109, 264, 3738, 3392, 315, 59453, 8070, 824, 1060, 1053, 5371, 69051, 2343, 505, 279, 3109, 4856, 1109, 12798, 13426, 311, 279, 3109, 13, 578, 1404, 315, 701, 43773, 408, 1053, 387, 11075, 555, 1268, 3117, 3201, 505, 279, 59453, 8070, 12447, 499, 1051, 627, 2170, 459, 4879, 311, 57728, 30485, 1990, 1884, 889, 4934, 311, 10519, 5270, 753, 6484, 23460, 1614, 323, 1884, 889, 11846, 23460, 574, 3958, 369, 279, 3224, 11, 452, 964, 574, 6319, 311, 8454, 1690, 6484, 15375, 823, 88, 6918, 23460, 7620, 13, 9636, 420, 1887, 11, 1274, 2103, 1047, 311, 990, 311, 1304, 10548, 3449, 44603, 574, 1120, 430, 279, 452, 964, 1053, 6106, 832, 1550, 539, 4498, 1139, 279, 3169, 315, 671, 585, 19542, 430, 9053, 1505, 44085, 369, 872, 12637, 10495, 26, 433, 9076, 3987, 323, 84084, 1534, 990, 304, 264, 1648, 430, 6484, 23460, 7620, 1550, 539, 627, 8607, 23531, 315, 279, 13155, 18290, 430, 66281, 8689, 12588, 279, 8389, 8070, 3827, 43773, 408, 1053, 990, 2753, 477, 17257, 11622, 11, 28592, 32434, 10831, 990, 369, 41308, 51749, 14733, 1280, 337, 768, 13, 578, 4747, 574, 430, 422, 264, 8857, 315, 279, 3318, 8009, 10717, 3318, 323, 4619, 41013, 7373, 389, 279, 43773, 408, 11, 433, 1053, 1464, 279, 452, 964, 627, 4071, 71796, 315, 452, 964, 18784, 420, 1749, 315, 23460, 574, 2731, 1606, 433, 574, 7347, 323, 433, 2631, 9053, 311, 2103, 990, 2539, 7394, 13, 578, 23460, 7620, 315, 279, 892, 3604, 64770, 990, 323, 21190, 1274, 311, 7293, 389, 279, 656, 273, 13, 578, 452, 964, 574, 6319, 311, 5471, 420, 16033, 31397, 627, 791, 13381, 315, 4185, 14455, 323, 2522, 8362, 488, 2209, 5810, 198, 13622, 13312, 6164, 3432, 1440, 430, 21075, 11478, 374, 5304, 603, 323, 433, 690, 25024, 220, 1272, 3346, 315, 682, 7032, 927, 279, 1828, 220, 868, 1667, 13, 27140, 3766, 26771, 315, 41589, 77249, 44219, 9057, 555, 30116, 93574, 11, 279, 98057, 505, 31003, 304, 15592, 690, 387, 6612, 555, 682, 26593, 315, 279, 8752, 88958, 15266, 311, 5897, 323, 6593, 69792, 323, 4395, 1990, 13, 2052, 719, 279, 93118, 1274, 304, 279, 3723, 4273, 690, 7831, 29865, 12628, 315, 7100, 74935, 627, 2261, 304, 279, 92326, 2785, 8070, 32305, 1690, 9053, 2736, 3217, 320, 438, 430, 690, 4461, 1193, 47293, 268, 927, 279, 1828, 220, 868, 1667, 705, 279, 389, 261, 788, 5575, 11941, 11897, 430, 279, 1828, 9659, 315, 7487, 690, 617, 311, 10299, 11, 279, 17676, 5376, 304, 279, 2853, 315, 5496, 11, 279, 653, 62230, 430, 2343, 690, 10205, 304, 5627, 1081, 729, 62259, 449, 430, 5190, 2853, 315, 5496, 11, 323, 13490, 14740, 10708, 311, 12933, 690, 387, 279, 7100, 11369, 2617, 369, 1455, 9053, 627, 76934, 10240, 1521, 18845, 520, 872, 60392, 13, 578, 98057, 527, 2133, 311, 3621, 320, 258, 1690, 5157, 11, 814, 527, 2736, 38199, 705, 814, 4250, 387, 79841, 11, 323, 279, 3109, 690, 1205, 311, 2686, 279, 3823, 39438, 425, 1521, 98057, 690, 5353, 627, 791, 22854, 449, 26581, 14967, 33620, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 76065, 1253, 387, 279, 64592, 13028, 13312, 60526, 889, 76312, 8762, 74609, 11, 719, 568, 374, 279, 1193, 13621, 9322, 10032, 311, 2686, 65564, 4860, 315, 1268, 311, 6013, 311, 5108, 7100, 98057, 627, 791, 12544, 374, 430, 264, 20789, 6913, 8070, 374, 2288, 28771, 13, 11208, 62458, 753, 8389, 8070, 3827, 574, 7347, 11, 549, 8768, 374, 13524, 264, 58973, 61064, 315, 3827, 11441, 311, 5127, 13, 763, 1475, 3224, 1405, 549, 8768, 706, 1027, 6818, 11, 279, 9526, 706, 9670, 304, 8060, 627, 3923, 753, 810, 11, 279, 3723, 4273, 1436, 10150, 1778, 264, 11191, 49326, 13, 549, 8768, 2643, 990, 422, 279, 3723, 4273, 1051, 311, 30754, 1202, 6484, 23460, 7620, 13, 3639, 527, 279, 21448, 315, 430, 30, 16307, 9818, 527, 810, 4461, 311, 48047, 549, 8768, 1418, 20958, 279, 6484, 23460, 1614, 17223, 430, 1053, 29320, 279, 3723, 4273, 11, 15851, 315, 279, 44219, 9057, 555, 33762, 627, 791, 5426, 10652, 374, 16625, 555, 1884, 889, 4546, 709, 3062, 4819, 1176, 13, 9641, 3420, 574, 279, 7491, 315, 420, 304, 279, 220, 679, 21, 6355, 13, 25482, 323, 813, 549, 8768, 5101, 311, 387, 5526, 4315, 14992, 9053, 6832, 7100, 37923, 11, 994, 7863, 311, 1884, 872, 6699, 30199, 520, 872, 4325, 11, 527, 12309, 76367, 13, 9393, 25482, 374, 279, 1193, 9322, 7556, 922, 420, 4360, 11, 422, 2163, 653, 331, 34869, 291, 11, 568, 690, 6678, 279, 11249, 627, 2181, 690, 387, 25482, 753, 549, 8768, 4856, 1109, 279, 810, 15325, 452, 964, 430, 15160, 927, 11969, 13, 7570, 422, 25482, 1587, 539, 3243, 279, 220, 2366, 15, 6355, 320, 438, 568, 4461, 2834, 1431, 705, 813, 1984, 690, 3136, 311, 8895, 47955, 11, 5423, 439, 7100, 44219, 9221, 810, 30883, 13, 1628, 11, 1606, 264, 24846, 9041, 279, 1984, 1176, 11, 27548, 311, 279, 549, 8768, 690, 387, 16127, 311, 4305, 627, 76934, 3053, 1431, 29508, 1115, 19143, 4470, 198, 791, 13381, 315, 35226, 374, 927, 323, 11, 304, 904, 1567, 11, 374, 539, 2216, 16365, 555, 1455, 889, 14638, 311, 433, 13, 578, 8752, 374, 1790, 2204, 1109, 433, 574, 304, 220, 3753, 15, 477, 18217, 5833, 13, 63348, 430, 1903, 5647, 323, 23980, 279, 35226, 22910, 2643, 539, 387, 26613, 3432, 627, 10156, 1427, 520, 279, 3827, 15455, 11798, 304, 220, 679, 22, 25, 279, 2144, 374, 11, 814, 1550, 2697, 311, 1520, 1455, 9053, 13, 9636, 35226, 11, 264, 4528, 3827, 15455, 1053, 617, 3970, 7720, 430, 8813, 1523, 311, 1455, 1274, 304, 279, 1376, 315, 7032, 477, 7319, 23998, 13, 11450, 753, 6671, 374, 2204, 13, 1556, 4325, 315, 82484, 7612, 2204, 10396, 311, 6144, 9053, 13, 4427, 1376, 315, 19883, 8070, 690, 387, 5995, 311, 126641, 2521, 349, 279, 3674, 323, 7100, 98057, 9057, 555, 33762, 627, 791, 3488, 690, 387, 311, 1148, 8547, 13, 3234, 584, 27830, 264, 7373, 41289, 1646, 315, 549, 8768, 11, 477, 656, 584, 27830, 264, 41067, 22658, 2068, 315, 452, 964, 5380, 40, 1253, 539, 1093, 44219, 11, 719, 358, 12491, 51618, 627, 791, 18598, 2011, 1935, 389, 279, 549, 8768, 4360, 7214, 323, 51085, 279, 19775, 1603, 25482, 753, 1984, 9221, 81336, 2692, 304, 279, 5054, 41602, 13, 25482, 753, 10105, 690, 7066, 1057, 8752, 13, 2030, 2555, 1093, 279, 452, 964, 87388, 11798, 1053, 6144, 520, 46570, 9053, 1418, 2103, 23391, 8244, 7100, 44202, 304, 279, 5108, 2919, 315, 11191, 41589, 77249, 44219, 627, 2028, 4652, 706, 1027, 2109, 11931, 449, 8041, 505, 3778, 8681, 2136, 627, 58, 1945, 16666, 25, 55458, 7813, 30137, 15323, 13844, 7866, 220, 17, 13, 15, 60, 128001, 128000, 78613, 323, 15009, 19424, 520, 1283, 718, 278, 527, 1022, 311, 264, 2294, 1212, 13, 20783, 304, 279, 15009, 6469, 11, 6197, 555, 1283, 718, 278, 22103, 37409, 315, 64182, 2999, 13, 39447, 426, 4858, 11, 527, 6975, 311, 2955, 9249, 13260, 54260, 369, 264, 7941, 9249, 13260, 13, 2435, 1212, 704, 6975, 9249, 46121, 323, 220, 18, 35, 18991, 323, 1243, 4305, 1884, 7512, 389, 15325, 7224, 13, 17384, 315, 279, 11058, 6469, 11, 6197, 555, 1283, 718, 278, 10195, 1901, 10176, 4275, 773, 3714, 68156, 11, 3449, 17496, 311, 4048, 279, 13325, 15840, 4221, 13, 578, 11058, 6469, 6209, 3697, 58266, 304, 1665, 36185, 15840, 11, 264, 1646, 430, 2942, 4861, 3241, 2955, 2212, 6302, 11, 4856, 1109, 2082, 13, 52878, 3118, 872, 1620, 7224, 323, 8895, 63239, 304, 279, 15840, 4221, 13, 20783, 304, 2225, 11058, 323, 15009, 527, 4857, 279, 5995, 7512, 311, 832, 1938, 13488, 5370, 10708, 304, 279, 13312, 5064, 1418, 3515, 2523, 3235, 279, 1648, 13, 128001, 128000, 2127, 7718, 10151, 304, 279, 7855, 30318, 323, 220, 18, 35, 10571, 1917, 11, 5222, 2955, 11335, 264, 1401, 3560, 304, 279, 2450, 315, 459, 11625, 2447, 627, 791, 5151, 315, 3851, 315, 5222, 2955, 527, 5361, 25, 10758, 8446, 11, 2835, 3953, 11, 220, 18, 35, 4632, 11, 2875, 4632, 11, 5099, 627, 14139, 389, 264, 47361, 15105, 11, 279, 66763, 315, 902, 706, 3719, 264, 1972, 3779, 907, 627, 60960, 3507, 85373, 68343, 5380, 16493, 2955, 374, 279, 66763, 323, 11156, 2955, 315, 264, 45999, 11, 2949, 264, 12914, 4613, 42830, 13, 578, 2683, 315, 264, 5222, 15034, 9093, 17610, 315, 11469, 264, 4459, 5222, 323, 32692, 18921, 11, 555, 25976, 264, 1972, 9764, 304, 279, 2447, 627, 2028, 5764, 1690, 4857, 10215, 315, 279, 2447, 25, 5222, 6372, 11, 45999, 11, 4092, 4731, 11, 3230, 53862, 1093, 279, 5222, 315, 13001, 370, 388, 304, 7834, 15317, 11, 5099, 13, 1226, 42210, 279, 4751, 5222, 15034, 311, 33305, 386, 2639, 627, 44623, 11, 1101, 6576, 389, 279, 11495, 4632, 80297, 4800, 11, 568, 5535, 5678, 311, 5387, 264, 8104, 3062, 2035, 311, 279, 10578, 13, 50487, 11, 304, 9822, 11, 279, 57337, 64850, 350, 9491, 706, 1101, 2728, 264, 21102, 2035, 311, 5222, 6372, 304, 813, 12631, 627, 2520, 3187, 11, 304, 4491, 473, 360, 354, 11, 279, 3752, 1694, 21737, 11, 323, 279, 7402, 1157, 1694, 2697, 3118, 11, 433, 374, 279, 45999, 430, 690, 4546, 279, 20303, 315, 279, 4632, 11, 3235, 449, 279, 2217, 323, 279, 53492, 627, 60960, 3507, 85373, 68343, 66317, 4716, 5380, 3923, 1288, 387, 8774, 304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4059, 374, 430, 459, 11625, 2447, 11, 3508, 433, 374, 264, 4668, 4632, 11, 264, 220, 18, 35, 11625, 4632, 477, 264, 2835, 1847, 11, 374, 2133, 311, 387, 28135, 16625, 555, 279, 5222, 2955, 627, 16493, 9886, 374, 3485, 682, 32692, 11, 323, 19407, 44072, 311, 11469, 279, 9764, 315, 279, 2447, 13, 763, 2144, 11, 7855, 2955, 2289, 311, 1690, 5789, 512, 791, 977, 11, 47423, 11, 18729, 11, 24780, 11, 83322, 198, 791, 5222, 67323, 690, 9093, 1520, 1893, 459, 16975, 13, 5659, 76978, 4731, 311, 1701, 5554, 2436, 11, 5222, 11, 1093, 2217, 11, 374, 315, 54711, 12939, 13, 71872, 15853, 279, 38207, 374, 10728, 369, 94165, 264, 1984, 11, 477, 369, 4998, 388, 287, 264, 26792, 304, 264, 15861, 627, 4516, 499, 1205, 264, 5222, 6721, 311, 87417, 1005, 2204, 5222, 6372, 11, 2723, 1124, 3871, 323, 1514, 449, 872, 21261, 13, 14936, 2955, 76854, 264, 8792, 2035, 304, 279, 5429, 315, 264, 4632, 13, 1226, 1511, 279, 3187, 315, 264, 13001, 44239, 304, 7834, 15317, 6931, 627, 15724, 11, 1524, 2085, 264, 6945, 11, 279, 4382, 5222, 315, 420, 13001, 44239, 22014, 603, 1203, 311, 279, 1917, 315, 279, 47403, 13, 1115, 374, 311, 2019, 279, 3560, 6476, 555, 5222, 6372, 11, 1524, 279, 25655, 0, 2030, 584, 649, 1101, 1514, 449, 5222, 323, 2217, 11, 12967, 304, 1972, 58448, 430, 527, 704, 315, 5357, 627, 2028, 374, 264, 1920, 3629, 1511, 304, 22169, 12631, 11, 5423, 311, 1893, 279, 2515, 315, 13051, 13, 2057, 2231, 433, 5042, 11, 14936, 7127, 374, 682, 5222, 2955, 2884, 369, 264, 5818, 304, 1772, 70666, 13, 1115, 5764, 279, 4731, 320, 82, 705, 5222, 6372, 5222, 6372, 11, 35288, 10578, 11, 323, 7899, 9146, 627, 644, 420, 4652, 11, 584, 690, 14918, 5357, 389, 14936, 7127, 9435, 311, 6946, 13, 4452, 11, 420, 5222, 9886, 649, 1633, 1664, 387, 9435, 311, 682, 4595, 315, 57613, 7224, 25, 2835, 3953, 11, 8522, 11, 13335, 11, 5099, 627, 49314, 11, 832, 649, 36192, 5268, 311, 1304, 264, 4632, 2085, 264, 45999, 11, 323, 430, 649, 1524, 387, 459, 9193, 3831, 15837, 627, 2181, 14117, 304, 4040, 389, 279, 13195, 11298, 315, 701, 2835, 13, 1226, 1101, 12570, 1618, 304, 264, 3766, 4652, 922, 279, 8844, 29948, 2136, 315, 10917, 5222, 304, 3738, 4595, 315, 6946, 8621, 389, 5690, 11, 279, 5222, 1694, 8552, 555, 1670, 389, 420, 5452, 627, 16493, 13, 7566, 13, 2030, 3249, 18072, 2181, 374, 3062, 311, 1781, 315, 14936, 7127, 439, 459, 26154, 961, 315, 279, 4632, 13, 1102, 374, 1524, 3629, 961, 315, 279, 5429, 315, 279, 4632, 13, 36772, 18972, 323, 3041, 37390, 311, 279, 2217, 14936, 7127, 12716, 264, 2763, 315, 18003, 2191, 311, 279, 4632, 13, 1789, 420, 11, 584, 649, 304, 4040, 1005, 15407, 4279, 311, 1855, 1732, 627, 18293, 11, 369, 3187, 11, 420, 4632, 9124, 555, 35455, 4758, 369, 279, 2883, 602, 5733, 554, 11, 304, 902, 584, 35146, 1505, 279, 5222, 2515, 315, 12588, 264, 1984, 13, 14936, 2955, 11, 1101, 2663, 5222, 2955, 477, 9320, 5222, 6372, 11, 374, 264, 5222, 1920, 430, 39990, 279, 75657, 315, 1884, 889, 9020, 323, 279, 22654, 315, 279, 2262, 627, 56206, 11, 55346, 11, 9063, 11, 9698, 11, 63595, 11, 2835, 3953, 527, 2539, 315, 1124, 0, 1628, 369, 1695, 2944, 11, 5222, 2955, 62504, 398, 12716, 5217, 2038, 311, 24475, 323, 95593, 279, 4339, 13, 2030, 1148, 527, 584, 7556, 922, 7041, 30, 3639, 374, 279, 1486, 315, 1701, 5222, 2955, 5380, 8140, 11503, 323, 279, 24365, 315, 832, 315, 279, 96475, 31362, 5222, 26897, 0, 14936, 2955, 374, 264, 2539, 2269, 93724, 1989, 315, 5222, 430, 18065, 6968, 323, 1701, 10578, 311, 11322, 279, 12974, 2515, 11, 1455, 3629, 505, 264, 6500, 13, 14936, 2955, 1101, 18065, 279, 34786, 315, 18273, 6302, 477, 5222, 13162, 627, 644, 1023, 4339, 11, 7214, 5952, 82585, 10578, 25, 264, 11102, 3321, 11, 264, 31299, 8945, 13, 578, 8271, 62822, 1924, 5222, 323, 36611, 433, 13, 763, 420, 1648, 11, 568, 649, 1389, 449, 477, 2085, 264, 6945, 1389, 3619, 279, 14944, 315, 279, 1486, 627, 4071, 279, 5222, 2955, 1587, 539, 3009, 1070, 11, 433, 374, 1101, 279, 22489, 315, 2217, 477, 8982, 627, 644, 420, 11, 568, 2011, 8641, 279, 11700, 11, 55414, 279, 14944, 477, 6566, 433, 13, 14936, 2955, 8617, 7634, 5196, 520, 279, 4156, 4918, 315, 4731, 18528, 323, 5222, 6372, 369, 5361, 4595, 315, 2262, 13, 14936, 2955, 374, 459, 7718, 2449, 304, 279, 9886, 315, 5222, 323, 2835, 2262, 627, 2181, 374, 1511, 3485, 682, 311, 2955, 264, 3230, 16975, 11, 459, 16975, 11, 4184, 311, 279, 7057, 315, 279, 3917, 13, 362, 18181, 430, 10975, 26454, 7493, 690, 539, 617, 279, 1890, 1054, 28632, 1933, 863, 439, 264, 1501, 922, 28989, 13, 4497, 23659, 11, 279, 5222, 2955, 2011, 8417, 555, 2487, 1405, 279, 11700, 611, 2851, 374, 627, 45600, 11, 264, 2835, 1847, 52944, 1202, 5222, 9764, 449, 1855, 502, 2373, 13, 763, 279, 1890, 1648, 11, 264, 9063, 706, 1202, 72436, 3230, 1385, 902, 8417, 433, 4661, 7214, 11, 539, 1193, 1555, 279, 503, 50703, 11, 719, 1101, 555, 279, 24875, 315, 7899, 315, 1202, 18939, 13, 1115, 832, 374, 1101, 6575, 555, 279, 5222, 2955, 13, 128001, 128000, 9597, 532, 25, 578, 3575, 449, 810, 323, 810, 11709, 198, 11769, 892, 4423, 3067, 417, 311, 6420, 14677, 47521, 505, 1063, 26225, 88452, 11, 4423, 9778, 8111, 21039, 14677, 374, 682, 922, 5873, 13, 1054, 25759, 374, 1148, 3727, 14677, 2731, 863, 477, 904, 1396, 315, 13890, 12518, 13, 1226, 1436, 1524, 33304, 311, 89959, 4359, 7678, 753, 2383, 1825, 2592, 91343, 25, 1666, 459, 2930, 10430, 16239, 14677, 28815, 5129, 11, 279, 19463, 315, 4423, 28898, 14677, 374, 682, 922, 5873, 20414, 220, 16, 627, 10267, 753, 1212, 555, 93522, 1113, 264, 4279, 98431, 627, 86872, 323, 5873, 527, 539, 86506, 198, 32, 20985, 2728, 1403, 11709, 369, 889, 690, 3719, 813, 7491, 4536, 1431, 810, 1949, 1109, 264, 20985, 449, 264, 3254, 5873, 13, 3277, 279, 22512, 1242, 4029, 13739, 922, 1949, 3241, 814, 3207, 539, 59416, 810, 5873, 13, 763, 2144, 11, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3492, 5873, 4536, 1431, 1524, 9932, 304, 279, 7419, 315, 22512, 1242, 512, 12, 578, 11542, 311, 1629, 279, 2068, 11, 369, 904, 7580, 627, 12, 578, 11542, 311, 4007, 1268, 279, 2068, 4375, 11, 323, 2349, 433, 779, 433, 1587, 701, 25213, 439, 499, 6562, 627, 12, 578, 11542, 311, 9570, 11236, 779, 499, 649, 1520, 701, 9760, 627, 12, 578, 11542, 311, 16822, 11236, 315, 701, 11041, 11028, 311, 3885, 13, 3296, 3815, 420, 499, 649, 3041, 279, 4459, 4029, 264, 6140, 311, 8935, 505, 701, 4442, 627, 32, 15861, 449, 264, 3254, 6710, 315, 3241, 430, 4684, 552, 449, 279, 4787, 2728, 3485, 1053, 387, 264, 3541, 261, 15861, 1109, 264, 15861, 449, 459, 24746, 1396, 315, 2047, 3978, 661, 7620, 323, 912, 22512, 1242, 7620, 13, 20636, 2867, 430, 704, 11, 1095, 753, 3136, 627, 7816, 11709, 527, 539, 2744, 1949, 320, 300, 304, 13179, 340, 10267, 753, 13085, 1403, 7437, 13, 1472, 3207, 2728, 279, 5873, 1990, 279, 1403, 7437, 13, 578, 1176, 743, 706, 220, 19, 11709, 315, 9515, 323, 279, 2132, 832, 706, 220, 23, 2204, 11709, 315, 9515, 11, 2737, 279, 9515, 505, 279, 1176, 832, 13, 5659, 902, 743, 1053, 499, 4856, 5268, 30, 36530, 279, 2132, 832, 13, 578, 22934, 315, 810, 5873, 927, 2753, 5873, 527, 6118, 10666, 304, 264, 4528, 11401, 11, 304, 264, 1648, 304, 902, 279, 11493, 743, 315, 11709, 706, 912, 49836, 36734, 927, 279, 9333, 832, 627, 644, 279, 1972, 1917, 449, 1202, 35326, 5070, 11, 35326, 55946, 11, 35326, 892, 11, 35326, 1396, 315, 3932, 11, 7347, 4395, 11, 264, 11493, 743, 315, 11709, 706, 89173, 13, 36944, 55946, 3318, 15320, 369, 4038, 304, 264, 3254, 3851, 649, 8356, 264, 1790, 2731, 3851, 1109, 904, 315, 1124, 649, 2082, 32399, 13, 2100, 1070, 753, 264, 6696, 12744, 11, 422, 5127, 315, 279, 8223, 55946, 990, 32399, 1070, 753, 810, 5873, 11, 719, 1475, 3254, 832, 315, 1884, 2671, 527, 38279, 311, 279, 832, 304, 279, 3254, 5873, 1162, 627, 18293, 2500, 3157, 11, 2019, 11, 279, 22234, 3157, 13, 1115, 3157, 706, 1690, 12035, 11709, 11, 374, 279, 22234, 3157, 682, 922, 5873, 1243, 30, 5046, 3388, 539, 627, 7816, 11709, 527, 539, 2744, 264, 7315, 2694, 1847, 3060, 198, 11787, 1274, 35516, 994, 814, 61730, 264, 2883, 369, 1054, 18310, 892, 863, 10223, 477, 3815, 2555, 430, 374, 26617, 439, 29948, 477, 264, 12571, 949, 7566, 13, 32886, 617, 35326, 5070, 11, 779, 814, 1205, 311, 63652, 872, 22538, 11, 719, 430, 753, 1193, 9959, 34167, 369, 279, 2883, 13, 3277, 1070, 753, 912, 8792, 9293, 477, 323, 6392, 374, 2884, 264, 7895, 3346, 54523, 477, 1070, 753, 912, 2883, 430, 11835, 279, 4553, 9070, 315, 279, 11709, 11, 2574, 649, 3719, 5115, 810, 17395, 13, 362, 48888, 1253, 387, 10032, 311, 2793, 813, 1949, 892, 389, 6968, 264, 502, 4731, 2851, 719, 539, 389, 2555, 775, 430, 374, 8530, 810, 4460, 25, 1115, 374, 264, 1162, 304, 902, 279, 743, 315, 11709, 52956, 369, 1054, 10816, 11453, 1226, 649, 30847, 264, 7419, 311, 3237, 420, 810, 49672, 512, 2127, 5376, 304, 5873, 374, 24392, 1949, 422, 33018, 810, 2671, 3250, 1431, 1935, 5070, 323, 892, 3201, 505, 279, 27548, 11, 6062, 584, 2019, 374, 24392, 34348, 627, 46864, 499, 1390, 311, 1893, 264, 502, 31675, 3016, 323, 499, 3207, 539, 10032, 311, 8493, 701, 892, 29820, 311, 1510, 7224, 320, 2000, 3187, 11, 1606, 701, 6848, 922, 1268, 279, 3834, 1288, 387, 527, 11622, 2204, 11, 477, 5042, 1606, 499, 1390, 499, 656, 701, 1866, 3245, 570, 578, 5070, 323, 892, 2561, 311, 13707, 315, 1510, 31675, 8522, 527, 539, 11754, 555, 420, 13, 15636, 279, 14800, 315, 11709, 499, 1053, 5353, 449, 701, 6710, 315, 59159, 3241, 1053, 387, 24392, 1949, 13, 763, 279, 1023, 1450, 11, 422, 4376, 279, 13707, 315, 279, 14677, 10206, 6773, 311, 1893, 872, 1866, 430, 1053, 387, 24392, 34348, 627, 791, 73443, 16296, 315, 810, 11709, 198, 13461, 994, 499, 3207, 14892, 449, 1054, 10816, 863, 78588, 315, 5873, 11, 814, 2103, 649, 12391, 311, 387, 34348, 369, 1023, 7224, 13, 1102, 753, 264, 2766, 1093, 7100, 9434, 1385, 13, 1102, 4375, 1093, 420, 25, 1442, 1070, 753, 5361, 11709, 315, 264, 3169, 315, 3241, 1243, 1023, 55946, 1253, 617, 311, 3085, 1862, 369, 682, 315, 1124, 11, 54824, 1124, 892, 323, 5070, 13, 15636, 11, 459, 14800, 430, 1253, 5101, 1949, 649, 2543, 704, 311, 387, 1633, 11646, 13, 6914, 753, 387, 264, 2766, 810, 79136, 11, 584, 649, 1893, 3686, 2500, 6857, 315, 11306, 512, 2127, 5376, 304, 5873, 374, 69442, 1949, 422, 33018, 810, 2671, 3250, 1431, 1935, 904, 5199, 3392, 315, 892, 323, 5070, 3201, 505, 1023, 46305, 7224, 320, 72, 1770, 13, 7224, 430, 527, 539, 459, 10778, 311, 279, 6710, 315, 3241, 304, 3488, 570, 18715, 584, 2019, 374, 69442, 34348, 627, 12834, 98931, 527, 51114, 11, 279, 502, 31675, 3851, 4762, 8434, 1431, 33330, 904, 5199, 2853, 311, 1023, 7224, 11, 779, 433, 1053, 387, 69442, 1949, 13, 9393, 12035, 17032, 1053, 1205, 311, 3350, 502, 12050, 369, 279, 502, 10206, 11, 323, 1690, 13707, 1053, 1205, 311, 2700, 872, 2082, 11, 279, 502, 10206, 555, 279, 4846, 14677, 13707, 320, 333, 6992, 8, 1053, 387, 69442, 34348, 627, 644, 2144, 11, 1095, 753, 2019, 279, 2853, 315, 12899, 264, 2447, 362, 374, 356, 4444, 11992, 64, 320, 888, 439, 279, 2853, 315, 12899, 362, 374, 264, 570, 4800, 11, 1095, 753, 2019, 584, 636, 459, 5376, 304, 5873, 430, 374, 69442, 34348, 11, 279, 2447, 426, 13, 578, 2853, 315, 12899, 426, 7636, 374, 356, 5462, 11992, 65, 13, 1472, 1253, 97301, 3210, 1781, 279, 2853, 315, 12899, 2225, 374, 14647, 356, 4444, 49339, 11992, 64, 36193, 11, 719, 499, 1053, 387, 5076, 13, 1789, 3187, 11, 1457, 499, 1253, 1205, 311, 1893, 323, 1862, 264, 6710, 315, 2082, 311, 3480, 1990, 362, 323, 426, 11, 902, 374, 539, 5343, 304, 279, 2853, 315, 12899, 3060, 315, 1124, 7636, 320, 27963, 315, 279, 5873, 1990, 57613, 49125, 11, 1630, 483, 477, 480, 81163, 705, 779, 810, 3629, 1109, 539, 356, 4444 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49339, 16401, 64, 36193, 627, 644, 279, 6617, 1917, 315, 17963, 10565, 6067, 4661, 4400, 374, 11112, 69442, 1949, 320, 71, 768, 11, 279, 1054, 3852, 5199, 2853, 863, 4619, 315, 1054, 2201, 2853, 863, 304, 279, 3766, 7419, 570, 1442, 279, 502, 3016, 9221, 810, 5526, 1109, 735, 68992, 11, 65632, 13707, 1253, 1205, 311, 1893, 264, 1648, 311, 32172, 433, 1139, 279, 22736, 9264, 11, 49941, 264, 2853, 311, 1124, 1524, 422, 374, 539, 264, 5199, 832, 13, 4452, 11, 420, 3460, 315, 4360, 374, 3629, 11293, 13, 763, 279, 1972, 1917, 24717, 617, 1027, 2231, 1139, 2035, 311, 8108, 9434, 7194, 627, 86872, 3250, 1431, 34608, 912, 9293, 198, 16010, 7224, 1205, 2015, 323, 1695, 2082, 3250, 1431, 1120, 3621, 78825, 13, 1472, 1205, 3197, 287, 323, 264, 1664, 6319, 6070, 311, 10299, 682, 4442, 311, 279, 2082, 11, 8007, 323, 4287, 29760, 11, 4668, 7540, 323, 810, 13, 22512, 1242, 7224, 617, 682, 3169, 315, 3109, 14726, 24950, 505, 1148, 374, 17037, 3967, 439, 20331, 72137, 42284, 18143, 369, 2324, 311, 1825, 2592, 12345, 27121, 13, 1442, 499, 1390, 311, 1440, 264, 2766, 810, 922, 1825, 2592, 35186, 499, 649, 1817, 1057, 4652, 389, 279, 5030, 627, 15289, 323, 8935, 6492, 198, 12834, 78588, 315, 5873, 527, 539, 3629, 24392, 323, 69442, 1949, 11, 2853, 323, 8935, 6492, 22525, 311, 387, 264, 3682, 961, 315, 3241, 4500, 323, 304, 279, 17219, 315, 27548, 13, 7429, 4856, 5663, 20653, 3159, 3210, 9434, 7194, 527, 1648, 810, 3062, 1109, 2254, 7194, 11, 1306, 682, 25958, 7194, 527, 7347, 304, 7036, 13, 1556, 14800, 315, 5873, 1253, 387, 24392, 1949, 719, 53057, 69442, 11, 433, 1253, 1524, 7066, 459, 4553, 26031, 320, 1820, 7100, 91343, 1053, 387, 279, 10182, 2349, 9057, 555, 61682, 37647, 45612, 1139, 279, 16975, 25, 433, 1253, 842, 709, 54824, 603, 264, 2763, 315, 5070, 477, 8530, 1524, 1057, 52609, 4390, 2520, 3187, 11, 1070, 574, 11510, 315, 10430, 323, 9293, 6532, 304, 10825, 3480, 315, 3113, 20258, 11, 505, 1630, 311, 12424, 1974, 13, 8595, 30, 1102, 574, 539, 922, 279, 2254, 2853, 11, 433, 574, 682, 922, 433, 1694, 1633, 69442, 34348, 13, 2052, 14677, 5507, 90517, 11, 3321, 20258, 11, 17963, 4676, 11, 12035, 17032, 11, 4315, 1690, 1023, 1205, 311, 2349, 872, 2082, 311, 923, 1862, 369, 12424, 1974, 13, 1666, 1778, 11, 814, 1047, 311, 387, 1633, 16994, 323, 1304, 279, 2771, 279, 7720, 315, 28865, 311, 12424, 1974, 1051, 5922, 279, 2853, 27070, 389, 682, 1023, 13707, 627, 4599, 4553, 11987, 323, 61951, 1456, 311, 743, 10886, 374, 1606, 814, 6562, 311, 8108, 279, 2853, 315, 12899, 2288, 1690, 2204, 2574, 13, 1789, 2937, 11, 4619, 315, 65632, 753, 13707, 11058, 2555, 11951, 311, 1862, 701, 502, 31675, 3016, 814, 3085, 459, 5446, 779, 904, 16131, 649, 20206, 1139, 433, 323, 3719, 18751, 311, 76183, 753, 22736, 13, 1115, 374, 1101, 8779, 8108, 2254, 7194, 555, 31526, 67633, 627, 644, 1023, 4339, 11, 10886, 527, 264, 1648, 311, 1893, 459, 26031, 449, 279, 8592, 8547, 315, 5873, 369, 279, 43149, 2853, 3284, 13, 28206, 374, 3629, 5552, 449, 279, 7434, 315, 10937, 11, 719, 358, 4510, 23915, 374, 1648, 810, 3062, 1109, 10937, 706, 3596, 1027, 320, 438, 9093, 11, 358, 1781, 23915, 490, 12055, 1120, 264, 2466, 1396, 27548, 570, 1442, 7224, 1051, 1120, 27260, 2403, 1855, 1023, 814, 1253, 842, 709, 40583, 18639, 320, 300, 422, 3629, 279, 1162, 304, 11987, 8, 555, 1694, 69442, 34348, 389, 7580, 439, 264, 1648, 311, 20874, 323, 9567, 279, 27548, 320, 1729, 25957, 279, 2800, 311, 5268, 1193, 832, 315, 1124, 570, 3296, 3794, 3871, 323, 6968, 264, 5410, 7224, 527, 31526, 30355, 10937, 11, 18189, 67633, 320, 2497, 323, 5419, 7194, 8, 323, 3485, 4395, 9434, 7194, 627, 3957, 539, 922, 33994, 279, 11542, 315, 3932, 198, 29690, 11, 1949, 3241, 706, 4400, 311, 656, 449, 5873, 13, 15636, 11, 994, 279, 4029, 11705, 264, 5410, 477, 41011, 311, 10240, 279, 2068, 505, 1063, 477, 1023, 1912, 315, 13707, 814, 3207, 3815, 779, 1606, 814, 1541, 1431, 1781, 279, 2853, 315, 12899, 433, 374, 5922, 279, 7720, 315, 12899, 433, 13, 2876, 1606, 814, 1541, 1431, 1390, 3932, 311, 387, 3025, 311, 5268, 13, 4497, 5873, 1053, 387, 69442, 2288, 34348, 323, 279, 1217, 1053, 387, 304, 264, 6671, 304, 902, 3932, 617, 810, 5873, 9002, 264, 3230, 955, 315, 2068, 719, 4395, 775, 1053, 1694, 91978, 304, 4367, 320, 438, 4762, 1524, 1396, 570, 358, 1770, 13, 2435, 1781, 374, 264, 12571, 315, 892, 323, 5070, 627, 7283, 527, 539, 279, 6305, 304, 264, 2361, 311, 10491, 422, 433, 753, 264, 12571, 315, 892, 477, 539, 13, 2435, 636, 5268, 4315, 279, 2671, 264, 1912, 477, 2500, 315, 13707, 3463, 574, 5922, 26012, 892, 304, 13, 763, 2574, 1093, 3113, 20258, 11, 539, 1524, 430, 13, 7648, 3932, 1541, 1431, 1440, 1148, 264, 3113, 6783, 1587, 477, 3250, 1431, 656, 11, 1095, 7636, 279, 11156, 50932, 315, 832, 477, 279, 1023, 13, 2435, 1541, 1431, 1524, 5268, 872, 3113, 6783, 11, 433, 374, 23415, 311, 1124, 11, 52550, 449, 264, 15860, 315, 1023, 6392, 814, 1390, 323, 6904, 389, 264, 16003, 3113, 6783, 627, 644, 1023, 4339, 11, 682, 1521, 11429, 527, 709, 311, 13707, 13, 763, 2144, 11, 279, 1193, 2944, 499, 4070, 3970, 279, 26654, 9002, 14677, 3113, 20258, 374, 1606, 433, 753, 264, 10430, 5762, 304, 586, 13, 5210, 323, 8325, 22225, 1047, 311, 2274, 323, 3197, 872, 1866, 3113, 20258, 369, 5632, 323, 7553, 10293, 1630, 13, 358, 4344, 2771, 1070, 1051, 1448, 22155, 323, 20954, 34167, 13, 2030, 433, 1053, 4070, 1027, 5647, 1752, 369, 904, 315, 1124, 311, 8448, 449, 1403, 2204, 3113, 20258, 430, 1053, 5457, 13707, 320, 56544, 750, 323, 69442, 8, 311, 8493, 810, 1109, 11157, 279, 5149, 11, 3300, 323, 892, 320, 94928, 430, 356, 4444, 49339, 8, 120156, 64, 36193, 4390, 2746, 358, 574, 3025, 311, 19570, 7182, 9539, 11, 8530, 279, 1828, 892, 4423, 2795, 1054, 47424, 374, 682, 922, 5873, 863, 499, 690, 1440, 568, 753, 22568, 13, 22512, 1242, 374, 922, 279, 3116, 4787, 7633, 520, 279, 7314, 323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14677, 374, 922, 3339, 279, 1888, 3284, 10565, 1887, 320, 4291, 439, 1690, 22512, 1242, 3241, 439, 3284, 570, 2290, 315, 420, 706, 4205, 311, 656, 449, 88278, 279, 1396, 315, 11709, 13, 87904, 3686, 25, 74540, 11709, 649, 636, 304, 279, 1648, 315, 32145, 433, 11, 433, 649, 387, 65069, 13, 8442, 24392, 323, 69442, 1949, 502, 11709, 1205, 2697, 311, 912, 9293, 13, 68148, 304, 5873, 304, 1401, 5596, 2744, 617, 311, 387, 13205, 323, 439, 1790, 439, 3284, 387, 5918, 389, 1948, 315, 10886, 311, 8108, 7194, 323, 6106, 279, 26031, 4822, 9498, 323, 16003, 13, 2360, 832, 7720, 505, 279, 24863, 315, 11709, 369, 279, 25491, 315, 11709, 11, 539, 13707, 11, 539, 3932, 11, 539, 14677, 11, 539, 279, 22512, 1242, 7351, 13, 128001, 128000, 72326, 617, 11352, 264, 502, 41861, 1920, 304, 279, 2547, 430, 649, 3480, 1022, 37140, 13, 2435, 617, 11352, 430, 364, 6388, 444, 349, 518, 264, 43030, 14592, 505, 34323, 14385, 439, 264, 8147, 1022, 48296, 369, 18563, 764, 1154, 627, 20122, 22761, 1154, 527, 279, 7917, 304, 279, 22852, 1887, 430, 15812, 520, 279, 4851, 315, 1690, 47288, 19338, 2737, 55652, 11, 47288, 66358, 8624, 11, 323, 4851, 8624, 13, 578, 14248, 11, 3318, 304, 279, 6150, 315, 24432, 52755, 323, 67335, 2508, 304, 279, 45659, 12371, 61860, 23199, 10181, 520, 45659, 9304, 33977, 6575, 389, 420, 2447, 627, 791, 18841, 1053, 617, 41961, 369, 47288, 323, 50600, 19338, 323, 430, 872, 14955, 2643, 1101, 1520, 311, 2274, 1790, 69875, 502, 11217, 311, 4322, 1274, 5496, 449, 1521, 4787, 627, 48120, 315, 24432, 52755, 520, 45659, 11, 25459, 507, 88805, 11, 574, 11, 3235, 449, 2999, 13, 11519, 31053, 315, 279, 3907, 315, 24562, 11, 279, 10496, 7808, 315, 279, 990, 1120, 4756, 304, 6522, 6625, 8486, 22037, 13, 578, 54098, 1051, 1903, 1701, 2225, 3823, 7917, 323, 24548, 439, 264, 1646, 47120, 627, 48120, 507, 88805, 1071, 25, 330, 5159, 10278, 706, 1027, 24919, 41861, 4442, 304, 18563, 764, 1154, 369, 279, 3347, 4848, 1667, 323, 584, 3077, 2586, 4028, 1148, 584, 1781, 374, 279, 1455, 3062, 9455, 3686, 10246, 12348, 374, 1664, 3967, 430, 18563, 764, 1154, 5353, 37140, 11, 719, 584, 617, 1120, 1766, 430, 814, 649, 387, 1080, 52551, 311, 1304, 264, 93532, 2663, 433, 23184, 349, 13, 1115, 5865, 439, 459, 3062, 1464, 11, 477, 1022, 48296, 11, 389, 279, 18563, 764, 425, 11, 28015, 279, 8798, 315, 37140, 304, 264, 1920, 2646, 1603, 7633, 1359, 507, 88805, 1071, 627, 9023, 13, 10641, 12930, 34202, 11, 889, 11, 449, 44458, 13960, 574, 279, 1176, 3229, 315, 279, 990, 11, 1071, 25, 330, 791, 18563, 764, 425, 5097, 279, 50123, 34323, 11, 6832, 1938, 2683, 433, 374, 311, 3493, 4907, 11, 323, 29392, 10800, 433, 1139, 433, 23184, 349, 13, 1115, 1243, 10215, 279, 5788, 315, 47288, 9547, 11, 323, 1101, 36236, 24548, 505, 279, 45089, 37140, 430, 649, 12446, 2391, 19405, 10246, 35, 37578, 13960, 3779, 25, 330, 1687, 3077, 1766, 430, 433, 23184, 349, 649, 6089, 5719, 264, 4459, 3552, 315, 28896, 3062, 369, 37140, 304, 264, 11742, 13010, 2646, 1603, 7633, 323, 430, 420, 13010, 374, 3062, 369, 279, 7294, 67595, 6372, 315, 433, 23184, 349, 10246, 791, 18841, 706, 1027, 1633, 1790, 389, 279, 49100, 315, 37140, 3495, 11, 323, 17054, 507, 88805, 323, 813, 79119, 527, 1457, 24919, 1202, 41961, 311, 279, 42080, 323, 4500, 315, 47288, 323, 50600, 19338, 13, 2435, 1051, 1101, 27989, 311, 13488, 3508, 279, 14955, 1436, 387, 51763, 304, 279, 5149, 311, 2274, 502, 7294, 67595, 39653, 627, 791, 990, 574, 264, 20632, 449, 25996, 13235, 6150, 11, 279, 3907, 315, 24562, 11, 279, 3907, 315, 26275, 11, 53240, 45316, 3907, 11, 279, 3907, 315, 75015, 2176, 11, 323, 8444, 710, 78, 42985, 42, 1074, 11, 1405, 2225, 17054, 507, 88805, 323, 2999, 13, 34202, 7543, 892, 389, 274, 12806, 62172, 627, 48120, 507, 88805, 1071, 25, 330, 2028, 18841, 323, 279, 502, 3495, 44014, 433, 706, 9107, 709, 690, 2567, 603, 13326, 369, 1063, 892, 719, 584, 527, 38650, 430, 433, 690, 832, 1938, 1304, 264, 6811, 311, 6978, 449, 19338, 430, 7293, 5107, 311, 4322, 1210, 128001, 128000, 4516, 3329, 20472, 56467, 7576, 505, 33266, 311, 82225, 420, 2046, 11, 439, 279, 17355, 96878, 56224, 459, 78612, 4106, 13141, 13, 362, 8798, 58438, 30205, 1790, 315, 279, 24024, 3723, 4273, 323, 5596, 315, 7008, 11, 6376, 682, 7394, 9499, 7576, 304, 1561, 31997, 11, 35739, 323, 30613, 11, 1405, 14560, 8798, 3952, 279, 6439, 315, 22700, 315, 1274, 304, 279, 3363, 323, 279, 14932, 5789, 627, 791, 62195, 9211, 374, 459, 34771, 27626, 430, 10182, 2349, 374, 2736, 10633, 287, 11660, 8798, 11, 323, 430, 16448, 20472, 690, 17190, 321, 264, 7982, 264, 1396, 315, 1274, 304, 279, 1667, 311, 2586, 627, 37707, 25793, 505, 9515, 11, 27861, 11, 35159, 11, 34324, 323, 2410, 11012, 374, 93669, 8798, 11, 10043, 709, 279, 5578, 7479, 9499, 315, 279, 9420, 13, 1115, 374, 32931, 279, 4553, 8141, 315, 20472, 11, 7438, 584, 1518, 17162, 9439, 2919, 323, 810, 8369, 2919, 13, 3277, 279, 9282, 374, 779, 4106, 433, 18808, 7576, 11, 1427, 369, 264, 3823, 43697, 627, 644, 264, 15528, 10182, 11, 14248, 1053, 1755, 311, 1518, 459, 6273, 1396, 315, 3335, 9439, 2919, 323, 3335, 4106, 2919, 13, 763, 264, 24808, 10182, 11, 3335, 4106, 2919, 1288, 85692, 3335, 9439, 2919, 11, 439, 16448, 20472, 8356, 2753, 14560, 9439, 323, 810, 14560, 8798, 2001, 279, 3169, 430, 1053, 539, 617, 1027, 3284, 2085, 682, 430, 11841, 2695, 34002, 12782, 25793, 13, 6193, 279, 3347, 1060, 11, 1579, 9499, 7576, 617, 85692, 291, 9439, 9499, 7576, 4661, 1403, 311, 832, 304, 279, 3723, 4273, 627, 4897, 753, 539, 279, 1193, 1879, 430, 12782, 25793, 374, 10633, 287, 14560, 8798, 13, 2684, 374, 1101, 279, 2144, 430, 20472, 527, 16448, 10819, 520, 3814, 1109, 2391, 279, 1938, 11, 279, 1121, 315, 4442, 304, 279, 16975, 1306, 279, 7160, 5900, 1523, 13, 1102, 753, 28289, 430, 304, 1561, 31997, 323, 35739, 420, 2046, 433, 574, 279, 25402, 20472, 430, 14760, 7576, 13, 25274, 2574, 11201, 11, 439, 20472, 10205, 11, 279, 16975 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 649, 3412, 810, 3090, 11, 10923, 369, 810, 38193, 627, 8142, 279, 9282, 374, 743, 311, 7155, 1022, 304, 279, 45680, 420, 9178, 11, 279, 46785, 374, 1120, 24494, 709, 13, 578, 5165, 23454, 5475, 706, 11136, 459, 27639, 8798, 10163, 369, 1790, 315, 17368, 11, 27966, 323, 16642, 7188, 11, 1405, 20472, 304, 279, 24657, 19016, 527, 3685, 311, 1464, 7576, 13, 64239, 527, 43676, 11062, 311, 10051, 3177, 17895, 11, 2567, 95831, 323, 4822, 3221, 279, 3805, 65424, 13, 128001, 128000, 3438, 268, 3145, 320, 19776, 2912, 49346, 527, 264, 955, 315, 14345, 337, 8, 527, 264, 11742, 24549, 18182, 1766, 304, 15657, 13, 46402, 279, 53657, 3262, 461, 34966, 279, 3691, 11, 279, 5190, 304, 14345, 3145, 627, 8538, 40160, 14, 21364, 1302, 60713, 304, 69883, 3145, 612, 8375, 2912, 5185, 198, 12, 12369, 35987, 3529, 9891, 198, 29012, 52273, 26475, 449, 69883, 3145, 612, 8375, 2912, 5185, 198, 12, 39532, 70718, 398, 198, 12, 2579, 25212, 477, 74820, 54888, 198, 12, 3814, 48728, 198, 12, 6453, 26432, 1234, 6548, 198, 3438, 268, 337, 328, 14643, 354, 34489, 809, 521, 3979, 10603, 320, 47, 790, 8, 902, 1288, 387, 16717, 389, 264, 220, 1419, 612, 757, 60418, 753, 1296, 198, 3923, 19418, 45446, 1472, 2057, 2893, 328, 19245, 2057, 69883, 3145, 612, 8375, 2912, 5185, 5380, 12, 42084, 60418, 198, 12, 362, 10173, 2288, 1579, 304, 10065, 13128, 18493, 39340, 74454, 304, 279, 18340, 198, 3438, 268, 3145, 11, 8375, 2912, 5185, 612, 8444, 332, 92166, 198, 4054, 9221, 810, 16614, 311, 1521, 422, 872, 15994, 374, 2736, 2539, 505, 14345, 3145, 9124, 555, 5370, 28168, 3695, 477, 422, 814, 617, 12544, 449, 14345, 337, 40769, 354, 34489, 809, 521, 48294, 320, 47, 790, 8, 902, 1288, 387, 16717, 389, 264, 220, 1419, 612, 757, 60418, 753, 1296, 13, 358, 1781, 315, 279, 14345, 337, 4360, 1093, 264, 15994, 13, 15344, 15055, 315, 14345, 3145, 649, 1212, 311, 5266, 279, 15994, 449, 912, 13010, 11, 719, 3131, 279, 14345, 337, 2237, 5334, 779, 1579, 11, 430, 279, 15994, 10631, 14, 2017, 39240, 11, 499, 4805, 1518, 264, 13010, 13, 362, 14595, 25481, 311, 14345, 3145, 323, 5255, 4371, 2912, 5185, 1253, 387, 198, 1687, 1550, 27851, 14993, 449, 264, 14345, 337, 2754, 278, 2912, 5185, 75431, 994, 813, 10173, 574, 3428, 304, 24722, 323, 1579, 304, 13339, 13, 362, 99866, 42500, 33969, 38626, 304, 13339, 13128, 527, 279, 8706, 75283, 315, 14345, 337, 28168, 3695, 430, 40978, 449, 66128, 39097, 13, 19197, 496, 4849, 320, 8370, 649, 1101, 387, 264, 1121, 315, 264, 1579, 13128, 10173, 8, 323, 328, 3336, 46, 320, 61917, 5938, 449, 67732, 74454, 8, 690, 1101, 1893, 14345, 3145, 439, 264, 555, 3107, 13, 1666, 1521, 28896, 68736, 304, 279, 18340, 11, 14345, 3145, 690, 387, 9124, 13, 578, 28896, 527, 11102, 1523, 1139, 42500, 33969, 323, 28168, 3695, 3554, 78852, 430, 28168, 553, 1521, 42500, 33969, 1893, 14345, 3145, 18480, 45864, 367, 439, 264, 555, 3107, 627, 9673, 1579, 5990, 315, 14345, 3145, 690, 6847, 5266, 279, 1054, 31510, 9520, 13239, 304, 264, 13010, 311, 5217, 14345, 3145, 505, 10173, 13, 763, 856, 9647, 11, 420, 374, 3249, 1690, 4250, 50134, 904, 5217, 14345, 3145, 304, 10173, 13, 8444, 332, 92166, 43080, 374, 1101, 3549, 304, 420, 1920, 4245, 311, 279, 47288, 2077, 323, 74454, 315, 279, 13128, 304, 279, 18340, 13, 358, 1053, 1456, 44463, 279, 10173, 4726, 320, 43842, 4522, 1579, 24722, 16312, 88, 52011, 323, 18189, 13339, 8, 311, 22472, 279, 13336, 315, 13937, 14345, 3145, 505, 420, 1920, 13, 2999, 13, 38774, 40912, 17715, 220, 2075, 4, 315, 10173, 311, 2586, 505, 1579, 24722, 6307, 60399, 13, 1226, 1456, 311, 1304, 430, 753, 5915, 11, 8051, 433, 3250, 1431, 2744, 3621, 13, 1226, 1101, 4017, 13339, 311, 3131, 264, 1938, 13, 1226, 2103, 8343, 14345, 3145, 2754, 278, 2912, 49346, 719, 656, 539, 733, 927, 2541, 779, 430, 1057, 1054, 31510, 863, 3250, 1431, 11813, 13239, 304, 264, 13010, 627, 9023, 13, 38774, 1101, 40912, 1701, 42393, 311, 12896, 1063, 315, 279, 16940, 37140, 320, 33678, 496, 307, 2411, 11, 328, 3336, 46, 11, 5099, 29275, 2118, 1360, 39340, 74454, 14918, 13980, 304, 279, 1612, 278, 15235, 11, 994, 62345, 636, 79266, 323, 3135, 304, 279, 5788, 315, 13893, 21503, 28168, 3695, 1778, 439, 92003, 11, 264, 1083, 288, 11, 14345, 3145, 323, 40769, 3422, 2029, 3788, 1129, 2185, 99916, 89488, 70521, 14489, 60592, 2106, 14, 12425, 11483, 2318, 198, 99799, 17383, 430, 1436, 10552, 279, 15360, 449, 13339, 374, 7319, 1400, 14338, 13128, 39097, 4245, 311, 7319, 13128, 23730, 505, 1579, 13339, 41943, 13, 15899, 315, 1400, 14338, 13128, 53568, 323, 39097, 2997, 92003, 11, 14345, 3145, 11, 1280, 7298, 323, 264, 1083, 288, 902, 617, 1027, 6982, 311, 43844, 21503, 6372, 304, 55004, 323, 304, 10065, 4211, 13, 4314, 32246, 527, 3118, 304, 2267, 98298, 10688, 23377, 430, 814, 1253, 43844, 18340, 65104, 33656, 6372, 13, 11344, 7978, 617, 6982, 430, 1400, 14338, 13128, 39097, 4669, 279, 18340, 8162, 1517, 6347, 374, 27078, 311, 34625, 13128, 439, 55061, 278, 92003, 323, 72735, 14345, 7918, 24549, 32466, 5376, 304, 2077, 311, 7319, 23730, 315, 13128, 9257, 15657, 2029, 1795, 1129, 2185, 25109, 1601, 916, 2971, 72, 318, 5574, 5574, 16, 14, 2304, 16378, 198, 23274, 369, 810, 2038, 389, 69883, 3145, 612, 8375, 2912, 5185, 30, 128001, 128000, 7, 4373, 46, 41226, 8, 2001, 578, 29219, 12811, 315, 1057, 11841, 374, 912, 5129, 279, 1890, 439, 1603, 13, 6193, 279, 3347, 1403, 24552, 11, 1202, 24924, 2410, 706, 12504, 29057, 11, 323, 912, 832, 706, 279, 60147, 4623, 315, 279, 8125, 369, 420, 627, 1688, 279, 1890, 892, 11, 459, 7185, 8579, 7858, 304, 279, 2115, 2663, 279, 4987, 23179, 1556, 84192, 22763, 927, 279, 23179, 22302, 11, 902, 706, 2736, 17033, 36033, 369, 45350, 24088, 65691, 14769, 627, 21279, 315, 1521, 34973, 24654, 10633, 10742, 430, 584, 1253, 387, 9298, 12195, 315, 459, 63561, 312, 21822, 430, 690, 5353, 279, 24653, 3585, 311, 2543, 304, 2204, 18445, 11, 279, 779, 19434, 59214, 315, 279, 24924, 51879, 627, 4071, 12074, 34118, 264, 502, 4007, 430, 4211, 279, 11841, 753, 24924, 2115, 304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 3293, 3347, 8985, 430, 584, 13434, 1431, 387, 2288, 305, 15329, 304, 26619, 420, 690, 3621, 627, 2118, 29815, 389, 279, 38723, 311, 279, 83104, 75559, 11, 584, 7168, 430, 279, 4987, 23179, 1556, 84192, 374, 4461, 311, 32153, 2949, 279, 1828, 220, 3101, 1667, 323, 430, 279, 9420, 374, 539, 7366, 7119, 264, 76790, 59214, 2476, 2795, 3980, 16549, 51162, 33374, 31031, 315, 69281, 3907, 304, 24067, 627, 1688, 3325, 539, 304, 279, 3221, 3938, 13, 2100, 369, 1457, 11, 584, 649, 37397, 4228, 49216, 11458, 11, 422, 1057, 3980, 39227, 3925, 374, 4205, 311, 733, 555, 11, 433, 753, 4461, 430, 279, 62938, 24924, 2115, 5238, 690, 9778, 1486, 304, 279, 14329, 5216, 627, 3923, 1778, 264, 59214, 1053, 3152, 369, 22706, 8625, 311, 387, 3970, 13, 578, 1566, 892, 1778, 264, 6800, 1567, 7077, 574, 1120, 220, 2983, 11, 931, 1667, 4227, 11, 994, 2324, 389, 9420, 9508, 311, 387, 2133, 1555, 264, 11413, 11140, 439, 264, 11422, 315, 1579, 30699, 11684, 19252, 41323, 1555, 1057, 16975, 627, 25729, 1274, 14000, 420, 1389, 8530, 304, 2077, 311, 420, 814, 6137, 311, 8493, 810, 892, 304, 52888, 1389, 832, 649, 1193, 8101, 627, 11458, 11, 2728, 3432, 753, 54180, 389, 14683, 5557, 11, 902, 649, 387, 20134, 2085, 279, 9313, 315, 264, 24924, 48998, 11, 1524, 279, 1455, 11295, 2115, 4442, 690, 5387, 603, 9232, 1752, 369, 279, 79003, 3938, 627, 55915, 11, 3980, 22012, 527, 68727, 311, 1505, 704, 902, 65649, 11, 77536, 10863, 323, 40320, 826, 315, 279, 2115, 2700, 408, 264, 65396, 11, 323, 902, 527, 78014, 627, 43182, 315, 1148, 584, 1440, 922, 279, 3925, 315, 279, 24924, 2115, 4131, 505, 1268, 1202, 17140, 11384, 19252, 304, 22337, 2002, 7384, 311, 1584, 709, 1603, 814, 5409, 1139, 2035, 994, 814, 6573, 1463, 13, 3296, 42200, 1555, 279, 13931, 315, 25107, 1534, 57267, 11, 499, 649, 636, 5128, 2867, 56190, 315, 902, 1648, 279, 24653, 706, 1027, 22364, 369, 96731, 627, 73097, 25346, 11, 83763, 36136, 505, 69637, 6732, 1253, 1101, 3493, 20616, 1139, 279, 5216, 315, 264, 2115, 304, 3010, 3115, 555, 79967, 287, 1202, 5216, 304, 37148, 1603, 23677, 627, 644, 264, 502, 4007, 11, 14248, 505, 69281, 3907, 323, 19313, 3314, 3907, 617, 30239, 10688, 315, 67164, 23902, 11, 11163, 12843, 323, 36136, 505, 2212, 279, 1917, 311, 44928, 264, 11944, 25845, 315, 1268, 1057, 11841, 753, 24924, 12811, 706, 5614, 2533, 279, 1566, 10054, 4325, 627, 15085, 617, 24784, 4442, 304, 279, 9420, 753, 24924, 2115, 927, 279, 3347, 220, 24, 11, 931, 1667, 11, 323, 75559, 1093, 279, 832, 3970, 304, 279, 4987, 23179, 527, 4461, 311, 387, 46350, 44247, 5938, 449, 12435, 4442, 304, 279, 8333, 315, 279, 9420, 753, 24924, 2115, 2476, 2795, 33374, 31031, 627, 22818, 264, 2606, 32331, 13356, 11, 433, 6288, 9221, 2867, 430, 264, 8579, 7858, 304, 279, 4987, 23179, 374, 539, 19018, 13, 33916, 220, 6330, 15, 426, 732, 13, 1070, 574, 264, 4528, 86278, 2349, 430, 36513, 369, 922, 220, 5894, 15, 1667, 323, 1243, 83349, 1022, 1578, 627, 5733, 30589, 279, 1890, 16940, 24717, 527, 520, 990, 11, 433, 374, 4461, 430, 279, 1510, 45404, 690, 5246, 11993, 323, 32153, 2085, 13696, 449, 264, 3728, 312, 21822, 13, 1102, 374, 1524, 4461, 430, 279, 24924, 2115, 439, 264, 4459, 690, 471, 311, 264, 8333, 430, 584, 617, 539, 3970, 2533, 279, 4216, 220, 777, 339, 9478, 627, 11458, 11, 420, 374, 539, 11311, 430, 264, 59214, 374, 922, 311, 12446, 1389, 1120, 279, 502, 828, 5039, 430, 584, 1288, 539, 14532, 279, 1510, 75559, 315, 84153, 8333, 439, 3831, 56190, 315, 264, 25685, 59214, 627, 644, 264, 1648, 11, 420, 374, 1695, 3754, 13, 2030, 420, 11141, 603, 304, 279, 6453, 922, 7041, 1148, 1778, 264, 11191, 86278, 1920, 1053, 1427, 1093, 389, 279, 5569, 315, 264, 3823, 19569, 627, 29132, 7576, 439, 11944, 439, 420, 832, 690, 1520, 603, 636, 264, 49479, 6945, 11, 323, 8530, 422, 279, 12047, 8741, 11, 584, 4805, 387, 5644, 369, 433, 627, 8906, 603, 25, 510, 2386, 2682, 60, 128001, 128000, 1383, 33467, 4997, 1293, 198, 97241, 481, 304, 279, 220, 845, 339, 323, 220, 1114, 339, 9478, 11, 279, 1989, 315, 54678, 4776, 5016, 14861, 369, 6603, 5602, 264, 47637, 304, 3389, 220, 777, 339, 34457, 9635, 11, 505, 279, 6278, 15144, 13633, 3130, 311, 279, 17979, 323, 66041, 7351, 13, 33467, 4997, 1293, 41424, 279, 44615, 7053, 689, 11, 90442, 11, 323, 4819, 2212, 10026, 779, 8792, 311, 279, 57105, 627, 3947, 527, 2478, 810, 54799, 1046, 455, 811, 510, 52877, 60, 369, 279, 10151, 1285, 19779, 315, 264, 17240, 2476, 6267, 279, 44277, 95307, 12656, 28138, 59129, 4910, 304, 813, 362, 11346, 315, 279, 5277, 315, 6017, 32136, 320, 9378, 18, 705, 1054, 54895, 430, 315, 54678, 4776, 264, 2363, 76465, 11453, 16, 198, 91084, 264, 4848, 46487, 12, 323, 22084, 62655, 34457, 6725, 315, 46536, 85927, 389, 10597, 22755, 477, 15864, 11236, 369, 53817, 11, 93759, 6603, 1051, 264, 80234, 10778, 311, 18012, 36800, 430, 5535, 369, 279, 3927, 1534, 79760, 367, 315, 2363, 819, 55367, 22625, 13, 1115, 6725, 315, 79760, 291, 2363, 32136, 14333, 264, 22531, 315, 23354, 439, 264, 48270, 3017, 304, 279, 66089, 9478, 13, 763, 264, 8205, 315, 29085, 11, 505, 32947, 311, 53210, 315, 2363, 32136, 323, 26984, 11, 6278, 15144, 6498, 65762, 1051, 21190, 311, 39673, 872, 57267, 2949, 459, 21650, 77784, 13970, 14135, 627, 791, 8013, 16730, 19426, 264, 1396, 315, 4216, 6617, 93759, 6603, 304, 279, 2926, 387, 724, 315, 279, 10846, 16591, 11896, 555, 10058, 8105, 304, 220, 10005, 22, 11, 20193, 1306, 1202, 36330, 13, 2468, 279, 842, 315, 279, 66089, 9478, 11, 46045, 304, 24685, 323, 18991, 5535, 430, 4526, 11, 439, 1664, 439, 3373, 10507, 5762, 520, 1023, 8013, 14673, 1778, 439, 279, 45702, 273, 1122, 323, 279, 4987, 96833, 16730, 11, 311, 387, 55717, 304, 2363, 1376, 323, 11784, 311, 264, 27927, 13016, 2200, 13, 578, 1176, 311, 4322, 279, 93759, 2363, 32399, 574, 95805, 423, 97976, 753, 6498, 30227, 1607, 12616, 6017, 66063, 826, 11, 4756, 304, 220, 9378, 24, 439, 961, 315, 264, 4101, 25891, 578, 6498, 6017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1543, 753, 11896, 627, 35, 97976, 753, 8286, 14843, 1634, 5448, 315, 33517, 38502, 6603, 11, 1063, 304, 1933, 719, 1455, 304, 4376, 2442, 396, 3776, 323, 4251, 13, 578, 25485, 323, 872, 24442, 28887, 527, 17057, 1176, 4184, 311, 13354, 955, 2001, 10247, 11, 72426, 11, 477, 78184, 2001, 323, 1243, 27076, 30450, 13, 22938, 505, 4113, 25232, 11, 423, 97976, 49104, 291, 1063, 323, 3779, 72514, 100053, 311, 3885, 369, 2731, 9302, 2515, 13, 3861, 1933, 1194, 374, 315, 264, 6366, 3048, 315, 95693, 1293, 753, 22425, 689, 81760, 76995, 561, 3074, 11, 13234, 555, 16657, 21393, 358, 13, 578, 2380, 27378, 527, 6965, 304, 12864, 5655, 6307, 72426, 323, 527, 61353, 2718, 93759, 449, 279, 30336, 23724, 315, 11977, 11, 91251, 269, 323, 4356, 61741, 11, 323, 264, 38067, 2115, 315, 2678, 92732, 13, 362, 28296, 10512, 315, 832, 8286, 17482, 439, 279, 4156, 13391, 9286, 311, 423, 97976, 753, 2363, 11, 323, 568, 38239, 311, 10896, 287, 279, 10512, 304, 2015, 311, 15301, 1063, 315, 279, 7554, 92732, 627, 2170, 279, 4101, 2316, 24897, 11, 420, 2363, 2001, 902, 5865, 10213, 439, 264, 23665, 5684, 31324, 315, 4216, 6617, 93759, 36800, 2001, 91287, 304, 264, 9478, 24725, 36232, 369, 61165, 2363, 819, 2136, 13, 362, 12330, 315, 2363, 1474, 329, 2136, 11, 14183, 311, 555, 59504, 5548, 449, 279, 50189, 4751, 1054, 58380, 747, 7053, 689, 9520, 41323, 279, 3026, 315, 9635, 753, 8582, 6989, 520, 279, 7314, 315, 279, 66089, 9478, 13, 578, 1054, 2239, 1543, 863, 22763, 505, 420, 74941, 315, 2363, 12096, 323, 11486, 439, 264, 5708, 3752, 315, 279, 3010, 961, 315, 279, 9478, 11, 264, 7216, 29091, 320, 66372, 311, 459, 14560, 8, 304, 279, 13162, 315, 6603, 13, 1666, 18640, 59809, 18714, 616, 706, 12090, 11, 420, 2802, 304, 6603, 1101, 10434, 439, 264, 77784, 4879, 311, 5813, 264, 5426, 32465, 28948, 304, 13527, 13, 17, 198, 791, 6498, 6017, 1543, 753, 11896, 11105, 264, 2547, 315, 3389, 20198, 858, 22865, 2363, 2902, 96798, 4477, 430, 374, 29091, 304, 14843, 6253, 323, 29040, 279, 58348, 315, 5426, 33232, 20797, 439, 2225, 6667, 21041, 323, 439, 4211, 369, 279, 19225, 7060, 3577, 7351, 13, 578, 2875, 4101, 11, 902, 1101, 5343, 473, 13, 432, 13, 1856, 26429, 753, 362, 10928, 11346, 315, 6498, 51869, 320, 7028, 15, 705, 323, 468, 13, 816, 13, 69168, 753, 6498, 6017, 21153, 1105, 320, 7028, 17, 705, 46728, 264, 13970, 35782, 430, 11957, 52299, 304, 279, 990, 315, 54063, 1778, 439, 12656, 30283, 529, 28263, 1026, 51805, 8612, 11, 1888, 3967, 369, 17843, 37067, 47634, 14948, 555, 75648, 79688, 13, 1666, 4101, 6576, 42592, 468, 13, 25385, 569, 14238, 304, 813, 1054, 15777, 29438, 9520, 420, 374, 264, 1054, 943, 4101, 315, 6603, 922, 6603, 11, 24121, 6498, 304, 1202, 22262, 9520, 323, 26737, 311, 5266, 304, 279, 33251, 315, 2363, 3925, 520, 264, 892, 994, 11, 439, 568, 1054, 15168, 398, 863, 2795, 11, 1054, 1820, 2363, 29721, 6656, 704, 662, 662, 662, 555, 279, 4330, 477, 4848, 6522, 57053, 315, 9635, 323, 19627, 5084, 311, 510, 50307, 569, 1145, 304, 2225, 11156, 29600, 323, 279, 38656, 315, 12945, 11, 279, 28807, 304, 279, 1917, 11453, 18, 763, 1023, 4339, 11, 279, 4101, 374, 10825, 311, 31284, 709, 420, 3802, 315, 9036, 2826, 304, 6617, 7060, 3577, 18991, 627, 11458, 11, 423, 97976, 753, 4441, 389, 93759, 36800, 374, 5016, 304, 1202, 11720, 29788, 311, 3278, 311, 16136, 304, 872, 79955, 2065, 627, 2118, 8607, 2363, 1824, 9146, 617, 1027, 93759, 2391, 279, 1566, 2478, 1667, 304, 9635, 555, 23628, 3318, 389, 872, 1866, 2759, 2476, 568, 14238, 11, 23377, 430, 813, 2363, 323, 1202, 11470, 3085, 459, 6776, 369, 3278, 889, 617, 11, 568, 24897, 11, 1027, 54678, 4776, 6603, 5042, 369, 872, 1866, 62468, 11, 311, 5249, 279, 8294, 5426, 3925, 568, 3721, 8099, 13, 19, 1115, 29788, 11815, 264, 27927, 13042, 9341, 304, 79955, 4954, 9635, 753, 32692, 17444, 11, 6222, 11, 369, 3187, 11, 555, 16483, 1093, 59129, 4910, 25, 1054, 266, 279, 3118, 892, 264, 12945, 369, 279, 2362, 13124, 315, 85927, 374, 1694, 31087, 291, 555, 1274, 889, 12876, 311, 1518, 9635, 1578, 11495, 369, 1077, 31409, 1816, 439, 1364, 574, 304, 279, 270, 404, 46487, 9478, 11453, 20, 198, 2118, 37, 6709, 29721, 9520, 477, 13018, 48270, 3017, 82, 505, 23153, 26422, 311, 31409, 1816, 11, 20415, 3384, 2391, 279, 66089, 9478, 439, 264, 19019, 7982, 6278, 538, 87552, 810, 323, 810, 3278, 311, 24121, 13018, 12908, 13, 578, 3956, 35459, 279, 51287, 54916, 291, 44277, 11961, 3130, 25, 93759, 67026, 323, 4579, 267, 6309, 11, 93759, 23090, 323, 73271, 11, 7317, 34765, 82, 11, 323, 3827, 1814, 2465, 389, 3113, 13, 4452, 11, 369, 1690, 3278, 11, 85927, 323, 1023, 44948, 1051, 1101, 264, 2592, 315, 80506, 8070, 13, 66041, 1051, 6216, 323, 48501, 520, 2254, 11987, 323, 23693, 293, 12997, 1590, 26, 1023, 3115, 85927, 990, 574, 23651, 54492, 311, 3278, 3318, 505, 2162, 11, 6968, 264, 21737, 32027, 13, 89900, 1816, 1101, 10434, 439, 264, 3941, 315, 4443, 323, 32692, 7645, 430, 3629, 70598, 279, 3674, 12908, 315, 279, 2162, 11, 54828, 304, 15206, 5627, 627, 56392, 369, 3278, 311, 16063, 2363, 12, 9034, 1607, 727, 1722, 420, 17395, 2035, 315, 48270, 3017, 304, 44277, 7829, 11, 2225, 91115, 279, 4623, 315, 279, 1054, 5717, 10027, 26436, 863, 323, 520, 3115, 17436, 32946, 315, 8954, 1522, 1968, 13, 59129, 4910, 11, 423, 97976, 11, 323, 1023, 8762, 59504, 5548, 14134, 4020, 2454, 872, 49641, 369, 1778, 264, 57105, 2949, 10026, 291, 49125, 315, 9511, 13, 3861, 3229, 11, 304, 264, 2875, 4652, 369, 578, 6017, 56741, 11, 390, 89132, 398, 13533, 430, 1054, 276, 27487, 369, 10151, 520, 3131, 5505, 323, 40545, 44186, 2643, 387, 1766, 304, 3318, 2363, 1824, 9146, 4619, 315, 1776, 32997, 323, 79312, 582, 395, 1590, 11453, 21, 3365, 4210, 304, 31409, 7868, 6476, 1139, 17078, 315, 61353, 2826, 323, 20841, 439, 58535, 11, 4856, 1109, 25462, 11, 20362, 315, 1989, 2001, 323, 279, 1989, 315, 2363, 85927, 1436, 387, 3970, 439, 16168, 2389, 5859, 3278, 311, 279, 55367, 22625, 315, 6603, 13, 14968, 423 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 97976, 753, 7419, 315, 279, 93759, 2363, 439, 31409, 1816, 6319, 21650, 1054, 2000, 279, 7580, 315, 1008, 80675, 430, 4040, 2363, 2476, 323, 539, 305, 1366, 58757, 398, 47658, 11, 1101, 45510, 813, 36548, 8954, 6742, 1139, 279, 15135, 13, 22, 198, 644, 420, 12914, 2363, 12, 9034, 1607, 727, 7612, 20207, 20392, 449, 264, 1495, 11, 323, 16994, 6666, 311, 279, 13970, 10507, 902, 11, 423, 97976, 8349, 11, 649, 387, 1054, 14625, 25843, 7162, 20041, 863, 555, 8173, 11003, 2332, 6431, 13, 23, 578, 93759, 2363, 8617, 9076, 44277, 3278, 264, 5016, 7479, 369, 77847, 3252, 48270, 3017, 323, 32465, 3925, 13, 23674, 11, 423, 97976, 21356, 27240, 288, 813, 28887, 315, 279, 36800, 304, 872, 3717, 311, 6498, 14673, 323, 13970, 12678, 11, 31720, 264, 26048, 4617, 315, 77784, 18526, 2191, 13, 763, 4737, 709, 2363, 482, 9034, 1607, 727, 11, 279, 5578, 6278, 15144, 6498, 22803, 11096, 279, 2883, 315, 70097, 627, 4054, 315, 423, 97976, 753, 10388, 10507, 374, 264, 47913, 315, 578, 386, 8869, 404, 477, 8444, 13559, 315, 279, 24028, 818, 1285, 30242, 11, 22523, 704, 555, 279, 1450, 315, 1243, 12, 3617, 20141, 21393, 323, 13893, 9960, 323, 37109, 555, 1077, 439, 1664, 13, 578, 47913, 574, 264, 8352, 311, 1077, 3094, 27510, 11, 62426, 81630, 11, 323, 4519, 279, 29006, 753, 79537, 23712, 555, 23492, 5773, 521, 19837, 13, 423, 97976, 14238, 420, 2363, 1139, 264, 77784, 13018, 3925, 430, 58943, 4477, 323, 85927, 11, 82003, 279, 12309, 19077, 4367, 315, 279, 990, 2001, 539, 4461, 311, 387, 279, 990, 315, 264, 22163, 6721, 2001, 902, 5398, 82, 449, 17078, 315, 19077, 19248, 9435, 311, 44277, 3278, 753, 31409, 1816, 627, 14364, 3187, 505, 279, 30336, 4526, 374, 264, 220, 10895, 23, 14002, 315, 578, 11266, 67043, 315, 800, 13, 7043, 11, 5762, 555, 279, 45702, 273, 1122, 323, 1790, 7633, 555, 66089, 34457, 12283, 315, 6603, 389, 85927, 323, 2363, 65500, 13, 1102, 1101, 46959, 311, 16657, 21393, 323, 5727, 264, 5296, 304, 1077, 1866, 1450, 13, 1666, 423, 97976, 1380, 56236, 433, 11, 433, 374, 264, 87163, 5849, 719, 32719, 3492, 291, 27065, 512, 40, 41926, 441, 893, 648, 3115, 1139, 279, 24729, 2115, 288, 315, 279, 19229, 54250, 11, 1405, 358, 628, 1983, 68, 709, 279, 1695, 11828, 2886, 1994, 1077, 9620, 315, 23719, 555, 86292, 11, 384, 349, 1124, 555, 5403, 11, 523, 85277, 1124, 555, 296, 985, 11, 323, 1208, 648, 1124, 709, 520, 3160, 304, 279, 305, 648, 10954, 315, 16420, 648, 555, 23738, 1124, 3871, 11, 779, 430, 3515, 61580, 26236, 2064, 295, 22383, 358, 1253, 279, 2753, 45493, 279, 80096, 315, 420, 50739, 2324, 13, 24, 198, 791, 2363, 753, 85927, 374, 1101, 30706, 311, 279, 29006, 13, 1952, 2225, 14861, 527, 49428, 304, 20023, 11, 23712, 555, 6761, 23125, 13, 423, 97976, 56030, 430, 11, 1093, 279, 3766, 3187, 11, 1070, 374, 912, 10973, 11311, 315, 279, 29006, 753, 1450, 304, 3339, 279, 3504, 13, 4452, 11, 568, 29633, 11, 1202, 40075, 3585, 311, 433, 1694, 315, 19077, 11, 4856, 1109, 6721, 11, 6371, 13, 56221, 21393, 753, 33862, 389, 5403, 449, 1077, 6603, 95593, 264, 5426, 3925, 6965, 709, 304, 5403, 11, 4477, 11, 323, 85927, 13, 1102, 1101, 44087, 988, 264, 3389, 66089, 34457, 33147, 311, 3237, 20356, 1555, 430, 1890, 1218, 526, 1001, 315, 279, 5439, 3492, 323, 3769, 7829, 627, 791, 1455, 5199, 10507, 315, 93759, 6603, 22763, 505, 279, 7294, 18251, 47479, 17979, 323, 24969, 29098, 11, 902, 20415, 3384, 304, 13527, 1990, 220, 9367, 23, 323, 220, 5926, 15, 13, 1398, 26980, 1908, 555, 12656, 30283, 11, 6832, 28263, 1026, 51805, 8612, 374, 27851, 9932, 304, 25385, 569, 753, 17219, 311, 578, 6498, 6017, 1543, 753, 11896, 439, 279, 864, 336, 14168, 19225, 3187, 315, 7060, 2363, 3339, 304, 9635, 11, 279, 17979, 323, 66041, 29098, 16495, 311, 69730, 279, 7384, 323, 990, 315, 65881, 268, 2001, 323, 11003, 2332, 6431, 627, 42778, 6091, 529, 10003, 3297, 574, 459, 32549, 323, 3062, 15034, 323, 54678, 91117, 889, 51713, 11, 15972, 11, 323, 6267, 922, 85927, 42817, 13, 18056, 1193, 17510, 49493, 11, 1364, 3952, 927, 6373, 315, 279, 85927, 13096, 315, 1077, 7126, 753, 2883, 304, 220, 9367, 20, 323, 10837, 433, 3156, 813, 4648, 304, 220, 9378, 21, 627, 4054, 315, 3297, 30283, 529, 19564, 311, 279, 1176, 17979, 323, 66041, 68033, 13581, 11, 5762, 304, 7295, 304, 220, 9367, 23, 11, 574, 459, 93759, 2363, 3504, 13, 763, 279, 16808, 433, 374, 7633, 439, 264, 1054, 82, 34263, 12, 9034, 1607, 12616, 3504, 369, 3451, 29351, 374, 62692, 529, 9520, 264, 2363, 315, 1077, 7126, 753, 32349, 13, 605, 30283, 93759, 520, 3325, 264, 2478, 1023, 2363, 14861, 13, 578, 3907, 315, 19922, 706, 264, 3048, 315, 578, 55448, 315, 6342, 8956, 355, 323, 14930, 63033, 2194, 6965, 555, 3297, 30283, 304, 19087, 41044, 449, 264, 2955, 315, 1403, 20229, 1234, 264, 5021, 13, 30283, 11, 1093, 1077, 7126, 323, 423, 97976, 11, 574, 8104, 8173, 304, 3411, 311, 6931, 18852, 369, 20343, 13, 763, 28069, 1413, 89900, 1816, 320, 9378, 18, 705, 1364, 16964, 279, 42108, 323, 4216, 6617, 18852, 439, 279, 2673, 315, 32692, 85927, 13, 6385, 990, 11, 2288, 11, 374, 27762, 555, 264, 12876, 311, 5891, 35413, 264, 77784, 14135, 13, 578, 93759, 2363, 6209, 459, 20392, 449, 37637, 323, 32465, 3925, 25, 279, 93759, 3504, 11, 6575, 555, 1450, 11, 9221, 264, 24016, 3834, 1990, 11003, 323, 279, 1495, 627, 791, 33412, 5493, 5602, 264, 471, 311, 32487, 13537, 1990, 3927, 6206, 323, 6603, 439, 459, 90687, 1295, 311, 279, 24084, 3148, 3772, 11, 304, 264, 1648, 430, 29280, 988, 449, 1057, 1866, 17510, 38043, 9478, 6225, 13757, 13, 8718, 14782, 311, 1063, 315, 279, 1890, 4216, 6617, 10507, 665, 67139, 1619, 304, 1194, 264, 2478, 1667, 3010, 555, 423, 97976, 11, 279, 3229, 315, 459, 4652, 304, 26520, 616, 753, 12517, 22168, 369, 220, 9378, 19, 326, 24469, 430, 1054, 25335, 1051, 59949, 304, 1884, 3115, 26, 1457, 814, 527, 779, 304, 2470, 28057, 430, 814, 527, 51249, 922, 90064, 555, 4376, 315, 872, 7980, 2029, 806, 32406, 6366, 93759, 14861, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 4652, 13533, 11, 649, 82964, 398, 743, 10980, 264, 7075, 8286, 11, 323, 1501, 6603, 279, 6666, 814, 23528, 13, 1666, 15661, 315, 304, 2470, 28057, 22755, 649, 387, 6847, 9967, 323, 31503, 389, 7528, 7766, 11, 584, 2288, 617, 311, 40175, 1268, 323, 3249, 584, 907, 6603, 13, 1666, 279, 3925, 315, 2363, 12, 9034, 1607, 727, 3727, 9621, 11, 11003, 706, 264, 2294, 3568, 315, 1803, 1413, 4754, 369, 312, 29116, 5859, 430, 5133, 627, 44098, 3142, 21749, 10506, 128001, 128000, 4438, 656, 584, 4546, 3925, 13989, 369, 3432, 753, 53243, 30, 1226, 1212, 449, 6156, 8336, 482, 279, 4857, 10215, 315, 3925, 0, 26150, 8336, 649, 2997, 5439, 9477, 11, 39211, 2508, 11, 3769, 7829, 11, 55890, 11, 21308, 53210, 11, 97549, 323, 7397, 13, 4314, 527, 3062, 7526, 430, 1095, 603, 25351, 3177, 389, 220, 1114, 339, 34457, 3925, 323, 3619, 279, 11704, 505, 2204, 39555, 13, 5810, 527, 264, 2478, 315, 279, 6156, 8336, 584, 1005, 1475, 1938, 627, 2173, 1856, 318, 8942, 18317, 367, 198, 36724, 555, 12656, 60929, 11, 5046, 1856, 318, 8942, 18317, 367, 320, 10680, 16, 8, 374, 6646, 555, 1690, 311, 387, 832, 315, 22108, 529, 1389, 323, 13118, 279, 17671, 753, 1389, 12474, 59949, 13, 578, 2363, 3649, 279, 3682, 4455, 304, 279, 6439, 315, 264, 2678, 1912, 315, 10597, 34199, 266, 1705, 11, 3967, 439, 279, 37451, 911, 5861, 11, 889, 743, 704, 505, 9635, 311, 6056, 279, 10597, 11542, 814, 6612, 574, 539, 2561, 311, 1124, 1203, 2162, 13, 60929, 18911, 304, 47913, 3645, 279, 65693, 2759, 315, 279, 3297, 39853, 45640, 11, 12135, 449, 220, 1114, 339, 34457, 47103, 10977, 11, 323, 279, 52945, 315, 1148, 1053, 3719, 279, 1176, 15690, 7665, 42036, 304, 1561, 9635, 11, 1701, 279, 3297, 39853, 55882, 439, 1202, 10217, 2246, 627, 54, 309, 857, 78, 351, 66102, 2508, 612, 10441, 21023, 198, 11804, 527, 279, 2574, 1274, 1903, 323, 2163, 4920, 11, 323, 814, 527, 7718, 311, 1057, 8830, 315, 1268, 1274, 12439, 11, 6575, 11, 323, 5918, 4029, 304, 279, 220, 1114, 339, 34457, 13, 1856, 318, 8942, 7281, 2249, 295, 33095, 832, 315, 279, 1455, 5199, 50757, 315, 69637, 3769, 505, 220, 1114, 339, 34457, 1561, 9635, 2737, 47103, 7384, 13, 66102, 22012, 1005, 1521, 15661, 11, 3235, 449, 21308, 3925, 323, 5439, 9477, 11, 311, 3495, 279, 864, 54096, 468, 309, 857, 78, 351, 1917, 13, 45152, 1268, 468, 309, 857, 78, 351, 2324, 24411, 927, 220, 717, 11, 931, 1667, 304, 1057, 2930, 31324, 11, 364, 76094, 288, 315, 279, 1556, 15539, 1105, 24314, 30233, 51124, 477, 10139, 315, 279, 52950, 323, 55227, 315, 279, 6498, 18317, 367, 2638, 83, 839, 520, 1856, 318, 8942, 304, 1561, 9635, 21908, 1101, 3967, 439, 386, 29686, 596, 51124, 574, 1176, 4756, 304, 220, 10674, 17, 311, 12192, 72098, 323, 15253, 810, 1274, 311, 5249, 279, 42036, 13, 578, 9987, 12283, 6267, 11944, 28887, 315, 279, 4455, 315, 220, 10674, 15, 12, 10674, 16, 2737, 279, 37451, 911, 5861, 6, 27501, 315, 29715, 34777, 304, 279, 12688, 315, 220, 10674, 15, 12, 10674, 16, 11, 4857, 315, 279, 6424, 11, 323, 279, 220, 10674, 16, 30764, 315, 27848, 9313, 902, 9749, 34616, 4398, 449, 279, 23166, 276, 564, 295, 98676, 336, 507, 355, 373, 36444, 320, 5391, 555, 813, 2316, 11, 9346, 40055, 275, 8, 323, 1023, 47103, 10977, 13, 386, 29686, 596, 51124, 1101, 5764, 22653, 49544, 10516, 596, 11495, 6661, 902, 16964, 279, 220, 10674, 16, 24322, 53268, 1457, 2663, 578, 5629, 37250, 320, 4151, 17953, 13, 220, 6086, 570, 24118, 369, 13639, 3411, 311, 13488, 4216, 3729, 1990, 51607, 323, 47103, 10977, 627, 2244, 278, 11346, 374, 279, 4526, 323, 4007, 315, 13970, 323, 13042, 2038, 1555, 48929, 13, 1789, 1690, 47103, 10977, 11, 2737, 279, 468, 309, 857, 78, 351, 11, 279, 22066, 3492, 706, 9147, 872, 3925, 311, 387, 5946, 505, 9659, 311, 9659, 2533, 892, 4998, 336, 22676, 13, 9176, 47103, 17089, 2103, 617, 264, 45370, 22260, 304, 902, 872, 3925, 7493, 527, 3131, 1578, 3309, 13, 350, 6427, 323, 14624, 311, 279, 21308, 3925, 1855, 1060, 374, 459, 1567, 4529, 1633, 14243, 13, 22172, 8964, 814, 527, 279, 502, 961, 315, 40489, 3925, 11, 323, 430, 311, 4048, 279, 3347, 7493, 315, 872, 1866, 9029, 374, 311, 3136, 5694, 323, 4048, 505, 279, 2160, 6427, 315, 3347, 4455, 627, 15571, 5513, 5659, 1561, 9635, 198, 36724, 555, 22653, 49544, 10516, 11, 7839, 5513, 505, 1561, 9635, 320, 10674, 19, 8, 22657, 709, 279, 7493, 315, 1856, 318, 8942, 323, 7281, 2249, 295, 1306, 279, 220, 10674, 16, 24322, 53268, 323, 4519, 28887, 315, 279, 5107, 1176, 1667, 304, 72098, 82946, 11, 2737, 279, 19163, 315, 502, 15235, 1705, 439, 1664, 439, 14269, 315, 20632, 323, 12324, 449, 507, 355, 373, 36444, 323, 1023, 468, 309, 857, 78, 351, 323, 22108, 98676, 12116, 13, 1115, 4228, 4791, 29906, 75931, 1169, 1101, 5764, 49544, 10516, 596, 220, 1114, 339, 34457, 24654, 315, 279, 2254, 10182, 11, 11944, 28887, 315, 468, 309, 857, 78, 351, 70570, 11, 35869, 11, 323, 13042, 10345, 70371, 11, 323, 21633, 49544, 10516, 5068, 3515, 449, 507, 355, 373, 36444, 323, 1023, 468, 309, 857, 78, 351, 6164, 2391, 34616, 23277, 13, 24118, 369, 13639, 3411, 311, 19678, 6156, 8336, 323, 13488, 3925, 505, 5361, 39555, 4999, 30119, 26150, 48132, 198, 45887, 12404, 596, 1561, 9635, 596, 78915, 320, 9892, 19, 8, 374, 832, 315, 279, 1176, 4756, 9815, 315, 2324, 304, 1561, 9635, 323, 5764, 31710, 389, 4395, 505, 54242, 323, 20057, 304, 6136, 323, 10065, 2324, 311, 28887, 315, 7446, 2324, 369, 1561, 9635, 596, 37683, 323, 47103, 22673, 13, 12404, 1101, 5764, 264, 2875, 36018, 315, 1475, 11477, 1708, 11932, 447, 1122, 4339, 11, 2737, 2035, 5144, 627, 54, 309, 857, 78, 351, 21308, 14135, 11, 3925, 11, 323, 7829, 527, 17693, 99892, 449, 2035, 13, 4314, 4221, 5070, 527, 3984, 27104, 315, 279, 468, 9769, 857, 9011, 587, 11688, 1050, 34084, 5907, 323, 527, 264, 2294, 5211, 369, 13639, 3411, 311, 33435, 21633, 922, 14370, 11, 2035, 11, 323, 4029, 9764, 1139, 872, 24978, 7978, 627, 42493, 73036, 596, 2380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 67868, 3925, 11, 5933, 3925, 11, 82495, 11, 323, 32349, 1561, 6498, 3053, 42802, 320, 9892, 22, 8, 6209, 459, 10778, 11, 9200, 13356, 389, 4216, 14874, 13145, 323, 34199, 266, 380, 35054, 96553, 9045, 304, 1561, 9635, 439, 1664, 439, 264, 43665, 315, 872, 6514, 315, 47103, 22673, 13, 73036, 1101, 6267, 42817, 922, 813, 24654, 315, 22108, 1274, 596, 7446, 2324, 2737, 18112, 11, 17895, 11, 11827, 11, 6696, 11, 5099, 13, 304, 1148, 374, 3432, 98498, 11, 22108, 13, 1115, 6156, 2592, 1053, 387, 1695, 369, 17705, 32, 323, 11346, 11628, 2772, 19241, 12593, 7640, 24919, 2204, 6498, 39555, 389, 96553, 627, 50, 592, 2692, 6498, 73998, 47210, 4315, 279, 468, 309, 857, 78, 351, 11, 9346, 613, 355, 7211, 11, 452, 575, 76, 1791, 11, 323, 1023, 47103, 10977, 304, 18561, 1561, 9635, 6137, 304, 220, 10513, 21, 6197, 555, 279, 35050, 3842, 34362, 354, 323, 11355, 3297, 71, 365, 449, 6020, 323, 5054, 1862, 505, 31346, 92707, 9336, 596, 53464, 14874, 13145, 38298, 315, 9635, 13, 763, 220, 10513, 24, 11, 20302, 5946, 330, 2127, 3298, 369, 279, 18042, 11780, 323, 3998, 351, 1113, 279, 44468, 315, 10811, 3771, 304, 1561, 9635, 1, 902, 3549, 264, 48801, 7471, 311, 3887, 73998, 7224, 304, 1561, 9635, 2737, 67371, 279, 17377, 323, 1023, 5429, 4269, 22755, 1778, 439, 59239, 331, 13978, 1139, 1708, 11932, 447, 1122, 15823, 323, 6376, 709, 330, 652, 17718, 25861, 1, 369, 13945, 16489, 330, 652, 17718, 30507, 1, 4686, 449, 31012, 13, 9441, 16250, 304, 22108, 2631, 264, 58473, 315, 10082, 482, 264, 586, 30816, 315, 279, 3927, 596, 8830, 315, 9052, 83258, 323, 279, 9268, 13, 92014, 315, 3402, 306, 685, 320, 10680, 18, 705, 3649, 2389, 8719, 1903, 555, 452, 575, 76, 1791, 11, 9346, 613, 355, 7211, 11, 323, 468, 309, 857, 78, 351, 33822, 430, 1051, 12715, 323, 17124, 311, 20461, 279, 86316, 6, 5208, 13, 97464, 304, 279, 1176, 1732, 11, 1521, 14604, 16068, 2187, 51801, 311, 6865, 3927, 47103, 24196, 505, 279, 220, 1114, 339, 9478, 439, 814, 1099, 23182, 449, 14747, 627, 2028, 29772, 315, 12197, 5439, 555, 4846, 12667, 311, 279, 24245, 323, 9251, 315, 13286, 3842, 393, 683, 11, 6498, 100235, 61544, 1708, 339, 309, 11, 323, 24113, 4410, 6890, 8351, 4033, 29105, 474, 409, 59130, 65588, 3085, 264, 4101, 315, 5016, 28887, 315, 72098, 82946, 304, 279, 220, 10674, 15, 82, 13, 4314, 12197, 527, 1101, 264, 2294, 6156, 5211, 369, 13639, 889, 1390, 311, 9616, 1268, 13286, 11, 72098, 11, 323, 24113, 1561, 26746, 3463, 922, 279, 5933, 1917, 11, 51578, 449, 47103, 9029, 11, 323, 9152, 958, 20024, 263, 532, 6696, 627, 2028, 3997, 374, 2294, 369, 13639, 3411, 311, 2997, 264, 4007, 315, 19225, 47103, 10977, 304, 872, 538, 477, 5089, 13, 1952, 420, 3997, 499, 690, 1505, 7902, 311, 5370, 40489, 5315, 15324, 555, 279, 38298, 315, 22108, 439, 1664, 439, 1023, 3109, 13607, 889, 8427, 449, 40489, 11692, 311, 3493, 5070, 2737, 2890, 2512, 627, 791, 22555, 315, 7904, 23298, 374, 264, 6918, 9266, 6832, 9131, 374, 311, 18885, 279, 4367, 315, 2324, 11, 311, 12192, 7100, 6776, 11, 323, 311, 6920, 704, 279, 12014, 311, 6144, 323, 7417, 279, 7095, 12032, 315, 3778, 30507, 11, 7904, 39503, 323, 28366, 452, 5983, 13, 1115, 3997, 5825, 2038, 922, 279, 220, 23402, 80637, 15324, 39503, 304, 279, 3723, 4273, 323, 279, 3600, 814, 3493, 311, 220, 16, 13, 24, 3610, 3778, 7904, 323, 28366, 452, 5983, 2737, 7100, 4500, 11, 6873, 11, 2890, 2512, 11, 323, 7296, 323, 5326, 6373, 13, 1115, 3997, 374, 264, 1695, 5211, 369, 13639, 24919, 13878, 315, 19225, 2324, 369, 47103, 10977, 4028, 279, 3224, 323, 323, 279, 42028, 12135, 1990, 6918, 323, 40489, 17047, 627, 644, 220, 11247, 17, 11, 2405, 483, 300, 75087, 10666, 311, 279, 3331, 7301, 315, 22108, 264, 19775, 20458, 1054, 32, 42021, 315, 279, 23298, 315, 279, 6498, 9029, 430, 5629, 763, 10796, 1639, 1561, 9635, 863, 311, 1862, 813, 1715, 369, 6020, 13291, 13, 578, 24674, 2246, 374, 75087, 753, 1866, 2759, 315, 279, 468, 434, 59838, 751, 17516, 323, 1202, 88867, 627, 26962, 315, 72098, 82946, 596, 37683, 3109, 2997, 927, 220, 2031, 1667, 315, 27743, 8554, 505, 16659, 315, 279, 3331, 12000, 323, 459, 56395, 315, 19622, 323, 5157, 6755, 304, 72098, 82946, 505, 220, 9892, 19, 12, 11739, 16, 13, 4314, 5070, 527, 4832, 369, 13639, 3411, 311, 13488, 18969, 1233, 323, 3109, 304, 72098, 82946, 439, 1664, 439, 22639, 1990, 47103, 323, 37683, 6498, 10977, 13, 4314, 7576, 2997, 5590, 5157, 304, 902, 47103, 7931, 1051, 51664, 439, 1664, 439, 72098, 82946, 596, 2077, 311, 279, 5250, 13800, 5111, 320, 9892, 21, 12, 22, 705, 6342, 26241, 596, 5111, 320, 11515, 20, 12, 21, 570, 7301, 7576, 527, 1101, 264, 2294, 5211, 369, 4236, 3411, 311, 13488, 3278, 596, 3925, 11, 8104, 1701, 5590, 7576, 11, 690, 82, 11, 323, 3650, 349, 17459, 2490, 13, 578, 7447, 67868, 7576, 617, 1027, 16099, 1534, 323, 527, 2561, 1949, 311, 279, 586, 627, 2169, 318, 8942, 7281, 2249, 295, 51108, 6370, 33095, 3062, 69637, 323, 3769, 7829, 15661, 5552, 311, 864, 12, 323, 1772, 54096, 468, 309, 857, 78, 351, 7281, 2249, 295, 323, 72098, 82946, 13, 4314, 15661, 6179, 323, 1862, 279, 23692, 389, 1057, 5496, 3925, 6732, 323, 6179, 13970, 323, 69637, 3495, 13, 128001, 128000, 14924, 315, 279, 2046, 25, 3639, 527, 279, 362, 323, 426, 26018, 315, 892, 30, 12838, 279, 426, 10334, 617, 4205, 311, 656, 449, 12897, 10789, 753, 51052, 892, 5380, 5159, 4320, 25, 578, 362, 323, 426, 26018, 315, 892, 527, 41903, 19476, 13, 763, 279, 362, 10334, 11, 892, 374, 22781, 291, 11, 1405, 1070, 374, 264, 12742, 6811, 1990, 3347, 11, 3118, 11, 323, 3938, 13, 763, 279, 426, 10334, 11, 892, 374, 43787, 1752, 11, 1405, 1070, 374, 912, 12742, 6811, 1990, 3347, 11, 3118, 11, 323, 3938, 13, 12897, 10789, 753, 51052, 892, 374, 1093, 264, 2132, 13167, 315, 892, 25, 1972, 892, 304, 832, 13167, 323, 51052, 892, 304, 2500, 13167, 13, 578, 15861, 374, 54852, 555, 2380, 3544, 3634, 15696, 323, 832, 892, 13167, 1405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 892, 11031, 4741, 323, 4250, 387, 10717, 477, 28537, 13, 578, 3634, 7394, 279, 461, 1026, 5813, 430, 4359, 649, 1893, 3634, 7394, 15696, 520, 690, 627, 2181, 753, 95883, 311, 1781, 315, 4359, 753, 7677, 304, 279, 13890, 315, 1403, 11, 2380, 11, 477, 810, 9678, 15696, 315, 892, 13, 1102, 753, 3284, 430, 304, 832, 477, 810, 892, 15696, 279, 362, 10334, 27149, 1418, 304, 832, 477, 810, 1023, 892, 15696, 279, 426, 10334, 27149, 13, 8876, 4359, 374, 539, 54852, 304, 904, 1648, 555, 279, 15696, 568, 11705, 11, 433, 753, 95883, 369, 4359, 311, 3217, 279, 13890, 315, 19502, 2786, 6724, 9678, 315, 892, 15696, 627, 1271, 1373, 810, 389, 1521, 4860, 11, 1518, 856, 4652, 11, 1054, 28622, 323, 4212, 578, 2490, 2029, 2057, 1373, 1790, 810, 389, 420, 3917, 11, 1518, 856, 2363, 11, 31886, 279, 84524, 11, 220, 18, 6634, 14002, 13, 33634, 649, 636, 264, 1949, 12735, 315, 279, 2363, 520, 8125, 2726, 14, 2177, 13, 128001, 128000, 46267, 320, 86134, 8, 374, 279, 1455, 8056, 1396, 304, 279, 15861, 13, 64913, 284, 320, 16, 10, 110682, 20, 8, 1717, 115, 220, 17, 902, 17239, 220, 16, 13, 21985, 13103, 24, 1981, 323, 374, 17037, 3967, 439, 279, 21411, 11595, 11, 279, 21411, 3152, 477, 21411, 3857, 13, 64913, 320, 86134, 8, 374, 1101, 3967, 555, 1023, 5144, 2737, 25, 30467, 21801, 11, 30467, 3857, 11, 21411, 21801, 11, 21411, 4018, 11, 323, 21411, 1396, 13, 9086, 9115, 320, 49345, 705, 23526, 8964, 912, 842, 311, 279, 1314, 315, 279, 12395, 1486, 627, 46267, 374, 279, 1193, 1396, 430, 994, 499, 923, 220, 16, 311, 433, 11, 499, 636, 1202, 9518, 320, 17, 13, 21985, 13103, 24, 73939, 323, 994, 499, 33356, 220, 16, 499, 617, 1202, 87298, 30565, 21985, 13103, 24, 1981, 570, 9934, 420, 389, 701, 31052, 627, 64445, 682, 315, 9886, 374, 20968, 389, 420, 11595, 627, 2118, 8538, 315, 279, 12474, 37072, 20663, 315, 682, 17051, 11, 505, 5468, 96462, 65747, 323, 22730, 76144, 304, 14154, 25431, 11, 1555, 279, 42108, 15155, 21651, 1122, 66486, 315, 393, 10994, 323, 279, 55383, 46382, 261, 55205, 98843, 11, 311, 3118, 11477, 12624, 12678, 1778, 439, 26275, 83323, 29607, 13597, 25888, 11, 617, 7543, 26762, 4207, 927, 420, 4382, 11595, 323, 1202, 6012, 13, 2030, 279, 75444, 449, 279, 18288, 51848, 374, 539, 45408, 1120, 311, 21651, 5493, 13, 12371, 22012, 11, 13820, 11, 32629, 11, 51801, 11, 56035, 11, 74191, 11, 323, 1524, 11679, 1233, 617, 48883, 291, 323, 59674, 279, 8197, 315, 1202, 53336, 488, 323, 14638, 13, 763, 2144, 11, 433, 374, 4762, 6762, 311, 2019, 430, 279, 21411, 11595, 706, 14948, 69122, 315, 682, 49255, 1093, 912, 1023, 1396, 304, 279, 3925, 315, 38696, 2029, 2001, 24270, 37311, 822, 198, 791, 80783, 8668, 25, 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 20, 11, 220, 23, 11, 220, 1032, 11, 220, 1691, 11, 220, 1958, 11, 220, 2131, 11, 220, 4578, 11, 220, 8929, 11, 220, 12994, 11, 220, 10898, 11, 220, 17608, 11, 220, 22207, 11, 66621, 374, 459, 57304, 315, 279, 21411, 11595, 994, 50802, 832, 315, 279, 5219, 304, 279, 8668, 449, 279, 3766, 1396, 13, 1666, 279, 5219, 636, 8294, 279, 12401, 584, 636, 311, 279, 5150, 21411, 11595, 1396, 627, 3947, 527, 3892, 69086, 12381, 5528, 369, 279, 27409, 315, 279, 21411, 11595, 902, 374, 7633, 304, 7872, 389, 279, 7757, 627, 644, 14154, 18112, 14726, 11, 1778, 439, 279, 4366, 3473, 263, 11, 279, 8681, 100031, 315, 735, 1334, 283, 276, 323, 279, 8681, 83495, 11, 1051, 20968, 1701, 279, 21411, 11595, 627, 9470, 1705, 66486, 3067, 97866, 11, 49459, 29210, 2483, 323, 86288, 51972, 7414, 1511, 279, 21411, 11595, 304, 872, 36692, 627, 1110, 981, 388, 426, 978, 4355, 29627, 1832, 74, 11, 42446, 13479, 648, 323, 36561, 13753, 617, 32762, 279, 21411, 11595, 304, 872, 4375, 627, 3947, 374, 779, 1790, 810, 358, 1436, 617, 5439, 922, 23526, 320, 86134, 705, 719, 2533, 856, 9908, 617, 1027, 21501, 505, 279, 26226, 11, 358, 649, 1193, 9502, 12197, 430, 527, 54852, 555, 264, 220, 3443, 3492, 4017, 627, 14305, 29849, 374, 4400, 719, 279, 43361, 22256, 287, 1202, 1866, 836, 311, 5196, 2029, 1389, 64948, 587, 95007, 3458, 198, 8142, 584, 617, 499, 12515, 1131, 422, 499, 15763, 430, 2680, 311, 279, 3754, 11, 9647, 11, 28485, 11, 16924, 323, 13042, 13122, 304, 279, 8847, 2837, 26226, 374, 26662, 2561, 304, 1057, 1194, 17222, 439, 1664, 439, 1618, 389, 1057, 3997, 11, 584, 617, 264, 4799, 311, 2610, 13, 578, 26226, 374, 24392, 13234, 323, 1949, 315, 279, 3544, 13166, 11, 2466, 69092, 10383, 430, 22223, 779, 1790, 315, 279, 3772, 3432, 13, 1226, 2351, 7396, 11622, 555, 1057, 33647, 50270, 323, 13016, 13, 1226, 2351, 11411, 311, 8738, 1949, 2680, 311, 1057, 5684, 323, 1057, 3997, 1618, 449, 5782, 50477, 54, 4006, 482, 4261, 13, 2030, 315, 3388, 11, 433, 1587, 2853, 3300, 311, 8356, 279, 26226, 13, 1442, 499, 2351, 264, 6742, 889, 9989, 43398, 279, 907, 315, 459, 9678, 11, 2254, 3754, 2592, 11, 584, 3987, 499, 3358, 2980, 264, 37079, 19035, 13, 1472, 649, 1520, 1862, 279, 26226, 369, 439, 2697, 439, 400, 16, 627, 2675, 649, 17210, 520, 3060, 69121, 477, 66212, 4906, 2248, 520, 66212, 1221, 2248, 520, 69121, 128001, 128000, 791, 4892, 23179, 56736, 67184, 706, 264, 6908, 2515, 389, 7665, 9282, 323, 6118, 39388, 52085, 927, 264, 4261, 315, 264, 2478, 1667, 11, 439, 11517, 37916, 1302, 15100, 627, 16179, 584, 3629, 6865, 922, 279, 3685, 4442, 311, 279, 9282, 505, 279, 4072, 22652, 14871, 7586, 64, 22652, 18829, 16642, 56736, 67184, 320, 965, 14202, 8, 433, 1587, 539, 617, 264, 3544, 2515, 389, 279, 9282, 304, 4606, 13, 3639, 1587, 7958, 603, 311, 264, 7191, 13112, 304, 4606, 1389, 1455, 78988, 304, 279, 42774, 323, 12688, 4038, 1389, 527, 279, 2204, 35530, 315, 279, 4892, 23179, 56736, 67184, 320, 7476, 46, 4390, 2746, 584, 6767, 279, 7410, 12062, 1990, 4689, 3428, 7410, 3221, 39496, 11, 3967, 439, 279, 100248, 12310, 11, 323, 279, 1207, 2442, 51172, 15757, 4692, 5234, 11, 584 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1518, 65649, 304, 872, 20081, 36486, 627, 2028, 374, 3062, 439, 433, 11835, 539, 1193, 279, 8333, 315, 279, 289, 5302, 398, 29592, 719, 1101, 1268, 3117, 10411, 477, 10007, 12688, 44583, 527, 4461, 311, 3839, 627, 1687, 2019, 430, 1070, 374, 264, 1579, 452, 19268, 1963, 994, 1070, 374, 264, 16643, 1109, 3451, 8416, 529, 15757, 4692, 5234, 323, 19662, 100248, 3428, 627, 2028, 7319, 7410, 20779, 6835, 603, 16643, 29592, 323, 8965, 8545, 261, 44583, 27736, 279, 23179, 11, 902, 690, 8541, 311, 3839, 4726, 10411, 627, 2170, 279, 44583, 3839, 4726, 10411, 433, 6835, 46039, 323, 14739, 466, 9282, 304, 4606, 10494, 279, 6560, 320, 438, 1455, 315, 4606, 8, 389, 279, 10007, 3185, 315, 66246, 304, 279, 46039, 323, 14739, 466, 10007, 2695, 5302, 398, 35148, 58412, 3805, 627, 32, 8389, 1963, 374, 16717, 555, 264, 2753, 1664, 8040, 1579, 311, 279, 10007, 477, 3428, 7410, 311, 279, 10411, 13, 1115, 43383, 7410, 20779, 323, 810, 5945, 700, 398, 2361, 315, 279, 15757, 4692, 5234, 3445, 430, 279, 12688, 44583, 690, 8541, 311, 3839, 4726, 10007, 627, 2028, 28335, 311, 4546, 68770, 839, 9282, 1139, 279, 38785, 323, 18561, 4606, 1418, 279, 76214, 11, 294, 7401, 3805, 690, 7958, 279, 6560, 7231, 603, 2753, 13766, 88, 719, 294, 7401, 323, 76214, 9282, 627, 21279, 279, 35530, 315, 279, 43524, 367, 7958, 279, 4459, 315, 279, 4892, 23179, 323, 1139, 279, 38785, 439, 1664, 439, 1139, 8792, 4606, 13, 763, 279, 69971, 433, 690, 7958, 279, 9282, 1139, 279, 12877, 6460, 323, 8524, 627, 16179, 584, 8541, 311, 6767, 279, 452, 19268, 304, 3878, 315, 7410, 5151, 11, 1148, 433, 374, 1101, 11890, 603, 374, 279, 2361, 323, 21261, 315, 279, 25365, 9384, 13, 1115, 1579, 36958, 3451, 5586, 529, 315, 10160, 20722, 279, 39300, 919, 4028, 279, 23179, 323, 439, 433, 11031, 2361, 14297, 584, 8541, 311, 636, 16447, 1139, 12912, 315, 9282, 902, 649, 1566, 369, 1455, 315, 264, 3280, 627, 644, 7474, 4038, 420, 649, 62974, 3508, 584, 617, 264, 1695, 23183, 7474, 11, 477, 832, 1405, 66246, 12579, 3345, 555, 2567, 279, 9282, 1633, 2349, 481, 13, 33391, 1124, 3451, 19045, 529, 477, 3451, 14176, 529, 374, 4856, 44122, 1389, 220, 679, 21, 1253, 539, 617, 1027, 1633, 1695, 369, 3703, 17106, 1157, 719, 9124, 264, 2294, 22607, 288, 10563, 4999, 791, 452, 19268, 50829, 54709, 927, 1317, 18852, 7438, 584, 17037, 3217, 264, 1396, 315, 1667, 315, 6928, 477, 8389, 4519, 13, 69590, 1148, 11384, 1521, 1317, 9860, 12912, 11, 4869, 11, 8625, 25420, 627, 644, 279, 12688, 315, 220, 1049, 24, 12, 605, 994, 433, 574, 57899, 9439, 304, 279, 6560, 320, 1820, 1400, 5086, 304, 220, 966, 1667, 8, 279, 1060, 1603, 323, 279, 1060, 1306, 1051, 1101, 8389, 452, 19268, 35530, 13, 4953, 57222, 11, 220, 1049, 24, 12, 605, 574, 279, 8369, 478, 12715, 12688, 304, 7008, 11, 19392, 1268, 279, 452, 19268, 22223, 7953, 279, 23179, 58309, 627, 2028, 374, 682, 1633, 1664, 304, 10334, 719, 649, 584, 1005, 433, 994, 51129, 30, 578, 4790, 365, 8843, 527, 16625, 555, 279, 15757, 4692, 1579, 779, 449, 264, 6928, 452, 19268, 584, 8965, 636, 1695, 4790, 365, 8843, 369, 459, 23179, 27736, 323, 264, 94021, 35374, 3280, 627, 1966, 264, 8389, 1060, 584, 1205, 311, 2010, 4726, 10007, 311, 3820, 709, 8965, 30673, 4790, 365, 8843, 13, 24941, 304, 4059, 430, 1070, 374, 2744, 54709, 2949, 279, 3280, 779, 433, 374, 539, 19883, 11, 719, 279, 5497, 690, 387, 1070, 627, 791, 12688, 315, 220, 679, 20, 12, 845, 574, 8965, 264, 16917, 6928, 10474, 439, 356, 3635, 4298, 12715, 832, 315, 279, 14739, 1985, 86082, 389, 3335, 13, 358, 574, 1633, 40510, 304, 27736, 279, 23179, 449, 279, 71444, 11, 323, 856, 21765, 311, 279, 100056, 23028, 2391, 6250, 323, 6664, 574, 8965, 1695, 449, 1120, 264, 3868, 304, 9332, 6863, 311, 2187, 264, 13766, 311, 1522, 1555, 627, 2409, 279, 1664, 64868, 15757, 4692, 5234, 279, 43288, 31442, 1051, 3831, 323, 584, 14333, 264, 5043, 12141, 10007, 320, 333, 264, 2766, 2288, 13548, 520, 3115, 43492, 1115, 5497, 20186, 449, 603, 1555, 279, 12688, 4038, 7231, 1695, 3831, 4790, 365, 8843, 369, 279, 27736, 627, 50041, 287, 505, 16132, 11165, 7044, 279, 96880, 1051, 9749, 5115, 3117, 10411, 13, 1115, 8967, 1070, 574, 912, 9610, 304, 86921, 10007, 7119, 279, 29715, 73948, 23028, 11, 7231, 264, 12309, 31439, 27736, 1193, 264, 2697, 10007, 315, 279, 22408, 3635, 1584, 627, 1687, 14333, 264, 220, 845, 11477, 21765, 11, 315, 902, 682, 719, 2380, 1051, 304, 24070, 4790, 365, 8843, 13, 5046, 279, 2380, 3177, 10160, 2919, 11, 584, 20781, 12504, 3770, 220, 20, 61317, 11, 71463, 279, 1566, 2766, 315, 4732, 704, 315, 279, 993, 6258, 4506, 11, 323, 1550, 539, 617, 311, 1005, 279, 4817, 520, 682, 627, 72326, 617, 12090, 430, 449, 2753, 37518, 10054, 304, 279, 7474, 11, 3090, 20472, 690, 5376, 11, 4245, 311, 279, 2144, 430, 10054, 27053, 279, 7160, 24797, 279, 3090, 91111, 433, 13, 578, 46039, 3090, 690, 1101, 8541, 311, 2349, 7410, 5151, 11, 719, 1268, 420, 690, 7958, 279, 452, 19268, 323, 1057, 9282, 374, 539, 3738, 323, 3495, 3411, 520, 420, 374, 5131, 38199, 13, 128001, 128000, 6600, 16115, 527, 279, 83861, 315, 49112, 645, 320, 3646, 17037, 11002, 49112, 645, 570, 2435, 44355, 505, 872, 19335, 220, 17, 311, 220, 19, 5672, 1306, 1694, 17551, 304, 5887, 323, 3240, 311, 5510, 4661, 7214, 11, 7438, 5674, 690, 1501, 709, 5246, 1306, 13, 8797, 2427, 4935, 1099, 16115, 527, 13489, 220, 17, 863, 304, 3160, 323, 527, 4251, 304, 1933, 11, 11469, 264, 40130, 9986, 842, 439, 814, 15196, 627, 7412, 82, 315, 264, 2895, 392, 15268, 65078, 198, 6600, 16115, 8343, 701, 16763, 20282, 11, 9564, 14198, 11, 31331, 1303, 16763, 304, 42408, 398, 27367, 29760, 6957, 701, 37125, 627, 2746, 499, 15562, 1099, 16115, 527, 4920, 701, 60090, 35665, 11, 5042, 4170, 264, 2478, 15271, 1523, 323, 6958, 1203, 264, 6710, 315, 60090, 13, 9393, 1099, 16115, 8343, 279, 20282, 11, 701, 16763, 2643, 58212, 1203, 1093, 502, 24905, 11, 477, 499, 4805, 7858, 264, 2478, 627, 3923, 74105, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2895, 392, 15268, 65078, 5380, 52566, 49112, 645, 1427, 369, 264, 6220, 2035, 311, 11203, 872, 19335, 13, 4718, 9498, 11, 326, 26089, 1245, 37125, 5992, 1093, 264, 2294, 86810, 369, 3691, 323, 7296, 627, 4438, 3053, 1472, 2175, 45995, 315, 2895, 16115, 5380, 40450, 6514, 369, 264, 74806, 4225, 65078, 439, 5246, 439, 499, 1781, 430, 753, 1148, 374, 264, 8138, 701, 37125, 13, 578, 5674, 1099, 16115, 656, 374, 93294, 11, 779, 279, 5710, 29760, 304, 701, 37125, 690, 5042, 1205, 311, 387, 312, 23425, 291, 627, 32, 16109, 1299, 27080, 14842, 649, 387, 1511, 11, 323, 433, 1288, 387, 9435, 311, 279, 20727, 29760, 13, 1666, 2744, 11, 1005, 1521, 3956, 4184, 311, 279, 14290, 753, 11470, 627, 2675, 649, 1101, 1650, 81247, 315, 7997, 69492, 612, 63641, 13, 1226, 1440, 1268, 311, 636, 701, 37125, 311, 264, 9498, 1614, 1405, 433, 649, 3139, 23325, 18007, 2085, 279, 6023, 315, 76056, 13, 7290, 603, 3432, 520, 220, 22240, 12, 24876, 12, 5500, 23, 369, 810, 2038, 922, 1057, 44885, 2585, 3600, 323, 369, 264, 1949, 12929, 627, 24581, 11736, 449, 2895, 16115, 5380, 7368, 81247, 315, 7997, 69492, 612, 63641, 3432, 520, 220, 22240, 12, 24876, 12, 5500, 23, 323, 1095, 596, 3137, 922, 1268, 584, 649, 1520, 499, 449, 2895, 16115, 323, 1023, 22319, 37125, 76056, 2283, 264, 3658, 25552, 128001, 128000, 3923, 374, 279, 1176, 3492, 499, 649, 6227, 6975, 311, 1373, 323, 3350, 5380, 22105, 499, 527, 7422, 512, 4071, 810, 1109, 4461, 11, 433, 574, 701, 836, 13, 17262, 48672, 13639, 1520, 6980, 4048, 872, 836, 304, 279, 1176, 2478, 5672, 2533, 433, 374, 16996, 304, 279, 24978, 13, 578, 11326, 9382, 4395, 449, 264, 1716, 753, 836, 11, 1778, 439, 512, 12, 61063, 72186, 198, 4071, 499, 649, 3041, 701, 1716, 264, 2010, 2527, 520, 2162, 4999, 3923, 374, 279, 7252, 12424, 311, 70377, 264, 9576, 872, 4076, 5380, 791, 1888, 1648, 311, 4639, 4205, 311, 3995, 2911, 374, 1555, 6206, 10539, 7640, 13, 3277, 2911, 649, 16988, 304, 6975, 1555, 24890, 71109, 7351, 11, 814, 649, 1920, 810, 5107, 9256, 1555, 9269, 323, 1493, 627, 791, 7720, 315, 6975, 1555, 3815, 527, 7718, 323, 649, 1520, 264, 1716, 4667, 311, 279, 2038, 3984, 311, 1124, 13, 4718, 1716, 690, 1101, 387, 810, 4461, 311, 14389, 279, 2038, 10666, 311, 1124, 1606, 6206, 10539, 7640, 527, 810, 23387, 627, 24901, 11, 6206, 10539, 6975, 5039, 4236, 3249, 6975, 420, 2038, 374, 24629, 304, 872, 6439, 627, 10445, 70377, 872, 4076, 5629, 5380, 6777, 12092, 264, 1716, 279, 32874, 315, 4216, 5403, 19476, 520, 2162, 1603, 16287, 6873, 374, 7718, 369, 2978, 62792, 13, 9176, 6699, 1390, 311, 1520, 872, 2911, 15641, 279, 12197, 315, 279, 28890, 1603, 6041, 16287, 68721, 627, 4054, 1648, 311, 1212, 49183, 12197, 374, 555, 12917, 701, 1716, 279, 12197, 304, 872, 836, 304, 4827, 1162, 12197, 13, 52950, 279, 6661, 22654, 1920, 449, 872, 836, 1176, 11705, 264, 6975, 3217, 430, 374, 1633, 4443, 323, 23222, 4999, 10445, 4827, 1162, 12197, 5380, 11800, 690, 1518, 4827, 1162, 12197, 3117, 810, 1109, 8582, 1162, 12197, 13, 9372, 520, 1268, 1690, 4827, 1162, 12197, 1070, 527, 304, 420, 4652, 0, 1472, 649, 4048, 810, 304, 420, 4652, 25, 4418, 1431, 5560, 549, 604, 3035, 521, 45397, 311, 70377, 15394, 18242, 323, 24838, 627, 17, 17697, 323, 19122, 42419, 311, 11736, 23338, 15281, 872, 4076, 198, 8586, 527, 1063, 6848, 994, 8405, 701, 1716, 449, 6206, 10539, 6975, 11704, 430, 499, 649, 656, 449, 701, 1716, 520, 2162, 627, 2, 16, 4076, 27757, 48698, 323, 71791, 198, 12, 27757, 7563, 198, 12, 34823, 9145, 449, 12197, 6267, 389, 1124, 198, 12, 17646, 388, 17401, 198, 12, 58586, 1022, 32440, 389, 279, 6558, 1701, 97953, 17401, 13, 320, 2028, 8779, 279, 1716, 311, 1518, 1405, 311, 9395, 4390, 12, 11004, 264, 6661, 3786, 304, 1855, 9518, 627, 12, 7073, 701, 1716, 872, 836, 304, 1194, 304, 4827, 1162, 12197, 627, 12, 12522, 1124, 13141, 704, 872, 836, 555, 21939, 279, 21059, 18381, 1139, 32440, 627, 10445, 1587, 420, 990, 5380, 7927, 1716, 690, 539, 1193, 387, 17045, 304, 420, 5820, 1606, 433, 374, 2523, 11, 719, 814, 690, 1101, 387, 1701, 872, 4459, 2547, 304, 279, 1920, 13, 2435, 690, 387, 3025, 311, 1005, 872, 6206, 311, 22655, 26251, 279, 21059, 18381, 520, 279, 6661, 7563, 304, 279, 1920, 315, 12864, 279, 12197, 627, 36557, 23851, 25, 12522, 701, 1716, 2489, 682, 12197, 627, 2, 17, 4076, 27757, 24838, 198, 12, 27757, 7563, 198, 12, 8847, 320, 9514, 1436, 1101, 1005, 12290, 340, 12, 7073, 701, 1716, 279, 6661, 430, 499, 1053, 1093, 1124, 311, 6725, 627, 12, 12522, 9462, 304, 264, 3830, 11, 52754, 279, 5740, 315, 279, 3830, 706, 264, 34966, 4092, 627, 12, 12522, 701, 1716, 3350, 704, 279, 6661, 304, 279, 9462, 627, 12, 45901, 369, 1855, 6661, 304, 872, 836, 198, 10445, 1587, 420, 990, 5380, 7927, 1716, 690, 387, 3025, 311, 1518, 323, 2733, 5694, 11, 30164, 279, 12197, 311, 872, 836, 43395, 13, 578, 13168, 1990, 279, 9462, 323, 279, 34966, 4092, 690, 2187, 701, 1716, 311, 1518, 279, 6661, 18488, 627, 30119, 16607, 369, 23591, 18242, 323, 24838, 520, 5492, 198, 32999, 323, 4477, 527, 7718, 7512, 430, 2911, 1053, 8935, 505, 3515, 1520, 520, 2162, 505, 459, 4216, 4325, 13, 358, 1053, 15253, 499, 311, 33435, 2523, 6206, 10539, 6975, 7640, 449, 701, 1716, 1475, 1938, 13, 1102, 374, 2555, 430, 690, 1520, 701, 1716, 369, 1667, 4999, 3923, 2523, 5627, 617, 499, 15972, 701, 6980, 872, 5144, 520, 2162, 30, 12037, 1124, 304, 279, 6170, 3770, 4999, 4061, 704, 279, 3770, 5070, 369, 3779, 5403, 323, 4477, 15174, 512, 12, 33257, 71424, 1233, 56619, 198, 12, 578, 8242, 34754, 39195, 315, 18242, 220, 508, 42099, 264, 6187, 198, 12, 43396, 1952, 21579, 23748, 1789, 5075, 16222, 1628, 41763, 198, 12, 2650, 311, 6112, 484, 279, 10919, 315, 18242, 304, 4718, 9576, 198, 5519, 499, 617, 264, 1716, 430, 3966, 810, 832, 389, 832, 13291, 5380, 1687, 3085, 832, 10539, 19101, 3361, 6873, 78143, 430, 649, 387, 2884, 505, 12660, 279, 5575, 374, 0, 8595, 30, 9393 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1057, 3361, 6873, 11909, 6929, 872, 16079, 2930, 4999, 1991, 3940, 449, 264, 1949, 29173, 3432, 0, 128001, 128000, 34976, 304, 701, 58953, 44658, 7512, 3432, 4999, 49812, 5505, 32847, 323, 36018, 369, 3318, 304, 279, 10960, 5064, 449, 1057, 44682, 96307, 20524, 747, 622, 14304, 10176, 0, 20524, 747, 17482, 6444, 520, 279, 10960, 2391, 16163, 323, 14177, 3115, 627, 644, 420, 3388, 11, 499, 690, 4048, 311, 19570, 304, 264, 8205, 315, 3575, 15082, 13, 1472, 690, 4048, 1148, 311, 2019, 994, 11, 369, 3187, 11, 264, 6130, 706, 264, 14162, 477, 264, 12458, 922, 279, 3691, 627, 2675, 690, 1101, 3477, 36018, 5552, 311, 3361, 41943, 323, 6725, 71722, 323, 62194, 627, 56934, 22755, 11, 7855, 11, 71722, 6725, 323, 21416, 23783, 627, 63998, 481, 369, 5990, 426, 16, 323, 5190, 627, 791, 3388, 40758, 220, 1399, 4520, 323, 14861, 279, 2768, 13650, 512, 12, 45635, 449, 279, 2015, 198, 12, 9984, 41943, 198, 12, 45635, 449, 279, 4121, 198, 12, 3744, 3486, 323, 864, 12, 323, 1772, 12, 10093, 198, 791, 659, 5594, 18339, 3769, 5764, 220, 868, 34147, 7528, 23783, 323, 220, 18, 22755, 430, 12192, 701, 6975, 13, 763, 5369, 11, 499, 690, 5371, 264, 3335, 481, 11612, 36451, 661, 304, 902, 499, 649, 3350, 279, 36451, 661, 5343, 304, 279, 3388, 304, 701, 10068, 4221, 627, 791, 4007, 3769, 374, 26662, 15987, 369, 220, 1954, 2919, 505, 279, 2457, 315, 7782, 1555, 1057, 2930, 6975, 5452, 13, 128001, 128000, 21124, 13, 1102, 753, 304, 1057, 2849, 18084, 11, 433, 753, 9932, 304, 1057, 12707, 5039, 11, 433, 753, 15109, 304, 1057, 17681, 9698, 11, 323, 433, 753, 682, 927, 279, 5000, 13, 1102, 753, 17277, 0, 763, 2144, 11, 5690, 1436, 387, 6646, 832, 315, 279, 2294, 11, 422, 539, 12474, 11, 3674, 46045, 2533, 279, 9886, 315, 279, 8191, 13, 4452, 11, 1053, 499, 4510, 433, 422, 358, 1071, 430, 420, 574, 4488, 67034, 753, 3197, 682, 3235, 5380, 15085, 3207, 2133, 311, 2349, 279, 1917, 2476, 1071, 4488, 67034, 304, 279, 4216, 2919, 315, 578, 21617, 13, 1283, 1047, 1120, 22088, 311, 4510, 430, 578, 21617, 1436, 387, 810, 1109, 1120, 2500, 3185, 2447, 13, 2030, 420, 374, 539, 1405, 279, 3446, 6137, 13, 1102, 6137, 304, 264, 30209, 3130, 520, 25996, 3907, 627, 791, 23591, 21882, 198, 2170, 3309, 304, 578, 5690, 13756, 11, 4488, 67034, 574, 264, 2466, 8571, 315, 2781, 300, 481, 4251, 21126, 13, 3861, 1120, 779, 7077, 311, 387, 9277, 8800, 264, 7147, 3221, 813, 99832, 25996, 30209, 3130, 13, 1102, 4036, 11510, 315, 1005, 2391, 1521, 3115, 994, 67034, 574, 2212, 13, 1952, 433, 11, 568, 1053, 1935, 813, 6848, 323, 5276, 1124, 1139, 60538, 1260, 19476, 13, 1628, 568, 2646, 9508, 311, 6996, 2294, 6848, 627, 2028, 10434, 67034, 1664, 389, 813, 2271, 311, 41836, 11, 264, 3492, 568, 323, 813, 18585, 4885, 1511, 3629, 311, 7664, 872, 5915, 320, 14898, 398, 3403, 11, 358, 656, 2288, 570, 1283, 9152, 311, 41836, 555, 6968, 13335, 430, 1051, 5505, 2001, 17235, 5505, 11, 304, 2144, 13, 1115, 3063, 311, 279, 9886, 315, 264, 5000, 3851, 430, 1053, 12391, 311, 387, 1120, 430, 369, 813, 12637, 4236, 520, 25996, 3907, 13, 3011, 3851, 574, 17026, 14484, 627, 24225, 14484, 574, 264, 3997, 430, 5535, 4236, 311, 2567, 3839, 315, 1148, 14307, 872, 4885, 1051, 24096, 11, 902, 11, 304, 2543, 11, 9147, 4236, 311, 4667, 449, 1855, 1023, 304, 279, 1972, 1917, 13, 1666, 499, 1436, 13085, 11, 420, 574, 5505, 25, 4236, 15262, 14392, 323, 4737, 14307, 449, 4885, 304, 1124, 13, 63294, 315, 4236, 8667, 709, 11, 323, 433, 6288, 6244, 264, 2450, 13, 2030, 420, 574, 1193, 279, 7314, 26, 568, 1436, 656, 779, 1790, 2731, 627, 67196, 1306, 11, 67034, 3549, 264, 8166, 477, 2876, 15057, 2663, 19109, 44, 1003, 13, 71854, 11, 433, 5535, 12637, 4236, 311, 7055, 369, 279, 38391, 6980, 304, 2978, 13, 1102, 2288, 574, 5505, 320, 333, 539, 79254, 1680, 1274, 10456, 14392, 11, 1524, 505, 264, 59915, 51882, 11, 1405, 814, 14980, 24059, 872, 26081, 13, 1102, 574, 1101, 459, 25402, 2450, 11, 449, 9214, 315, 13280, 824, 6596, 5246, 1306, 279, 2816, 4024, 2930, 13, 578, 3445, 311, 5813, 1778, 264, 3997, 11, 4869, 11, 1051, 539, 7041, 5897, 13, 1283, 574, 6288, 2663, 704, 323, 9770, 311, 9495, 1523, 279, 2816, 627, 57, 25369, 7881, 574, 2663, 1603, 264, 57315, 4580, 311, 10552, 279, 2816, 11, 439, 433, 1047, 7263, 709, 4819, 315, 69095, 11, 7065, 11, 30215, 315, 12625, 11, 323, 810, 13, 20695, 1051, 3411, 44517, 13, 37633, 398, 11, 3582, 11, 568, 28883, 2085, 25060, 13, 7570, 389, 279, 59818, 315, 25288, 11, 67034, 7846, 1431, 1520, 719, 18890, 13, 1283, 58077, 323, 7882, 389, 11, 14392, 430, 568, 7020, 430, 568, 1047, 3549, 2555, 8056, 13, 1102, 574, 892, 369, 67034, 311, 9395, 1524, 5190, 627, 1548, 743, 704, 311, 1893, 2555, 430, 1053, 16058, 2349, 279, 1917, 315, 3674, 29130, 13, 1102, 1053, 1212, 704, 4382, 11, 2771, 11, 719, 568, 1047, 311, 1893, 2555, 6908, 13, 1102, 574, 520, 420, 4545, 994, 67034, 3549, 279, 67482, 315, 279, 3674, 4009, 584, 682, 1440, 323, 1005, 3432, 627, 57, 25369, 7881, 7086, 420, 2447, 578, 21617, 13, 2468, 1176, 11, 433, 10434, 439, 264, 5507, 311, 4667, 25996, 4236, 311, 1855, 1023, 13, 362, 6945, 11, 264, 1160, 315, 14307, 11, 264, 2478, 13413, 11777, 315, 4443, 2038, 11, 323, 459, 16358, 16578, 315, 12625, 11835, 1051, 279, 6156, 5865, 315, 578, 21617, 13, 15148, 433, 5505, 30, 56647, 4999, 2181, 1047, 11, 1093, 682, 315, 813, 3766, 7224, 11, 3719, 459, 25402, 2450, 3446, 13, 5659, 264, 2478, 3345, 4885, 311, 264, 2478, 16579, 25996, 4236, 11, 578, 21617, 14264, 779, 6288, 430, 1524, 67034, 574, 27718, 13, 11699, 18525, 1968, 2643, 617, 1027, 264, 8331, 320, 77, 22928, 5127, 304, 25996, 4934, 311, 387, 961, 315, 420, 4009, 315, 279, 21342, 705, 719, 433, 5828, 1431, 1317, 1603, 1023, 31252, 6755, 922, 578, 21617, 2001, 814, 4934, 304, 2288, 13, 15013, 1550, 814, 1440, 430, 67034, 1047, 2736, 13205, 369, 1778, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13402, 627, 2028, 14800, 11, 4869, 11, 574, 5107, 13, 1102, 2631, 3892, 2919, 5922, 315, 5149, 311, 923, 264, 3254, 7926, 13, 67034, 7846, 1431, 22829, 420, 555, 5678, 13, 3161, 1063, 1520, 11, 3582, 11, 279, 2816, 574, 3025, 311, 9407, 311, 1023, 57979, 9130, 31252, 13, 1102, 5900, 2085, 5605, 11, 279, 2816, 6244, 264, 4295, 520, 1475, 7926, 433, 3782, 311, 627, 2181, 3287, 1431, 1935, 264, 25294, 28568, 311, 7216, 704, 430, 578, 21617, 1047, 4754, 311, 3139, 1524, 4726, 13, 47660, 433, 1550, 627, 644, 279, 19367, 315, 220, 1049, 19, 11, 279, 2883, 32762, 439, 5690, 13, 1102, 1047, 17626, 311, 7926, 14488, 11, 1524, 1884, 4994, 315, 279, 57979, 9130, 8853, 433, 574, 5918, 5304, 13, 38274, 433, 9041, 311, 1579, 8853, 323, 264, 3373, 2478, 990, 14488, 13, 2030, 433, 574, 2884, 13, 22172, 4934, 311, 5249, 13, 362, 3674, 5000, 3131, 30801, 555, 3092, 10115, 1047, 4934, 2555, 2731, 13, 67034, 574, 6380, 311, 1536, 53890, 627, 21124, 1053, 733, 1523, 304, 3925, 439, 279, 832, 4009, 430, 1053, 2349, 1268, 584, 16681, 2930, 13, 578, 2816, 30526, 430, 3932, 311, 16805, 872, 837, 9764, 11, 264, 5107, 49803, 369, 1063, 311, 42276, 11, 5423, 389, 459, 8191, 430, 550, 3422, 5196, 304, 49612, 13, 2030, 430, 374, 11, 304, 961, 11, 279, 14638, 315, 5690, 13, 1102, 37167, 3932, 311, 1304, 1972, 13537, 449, 1972, 1274, 627, 2181, 574, 6724, 2204, 505, 3092, 10115, 13, 31470, 4288, 40721, 574, 4279, 11, 719, 389, 5690, 433, 5828, 1431, 13, 2563, 24992, 704, 701, 5643, 2199, 574, 3685, 11, 719, 389, 5690, 433, 574, 3221, 12266, 13, 20696, 3092, 10115, 574, 11, 5690, 5828, 1431, 13, 1628, 430, 574, 3062, 311, 1690, 1274, 320, 16564, 7182, 8, 520, 279, 892, 627, 21124, 1457, 706, 264, 1217, 2385, 430, 1436, 21425, 1063, 58636, 2307, 78404, 13, 1102, 61191, 279, 6666, 315, 279, 14595, 1217, 369, 927, 8254, 4207, 264, 2305, 2001, 358, 1541, 1431, 1390, 311, 13085, 1148, 279, 2410, 1217, 753, 5219, 5992, 1093, 13, 1628, 433, 753, 13240, 311, 387, 5922, 400, 1644, 7239, 13, 1102, 374, 6646, 279, 1455, 3062, 3997, 304, 279, 1917, 1314, 1457, 11, 323, 5127, 706, 872, 6548, 389, 433, 627, 2181, 706, 3719, 459, 26154, 961, 315, 1690, 32538, 529, 7528, 6439, 13, 5690, 374, 2561, 389, 2849, 18084, 11, 7941, 18084, 11, 19002, 11, 29679, 11, 8122, 41115, 11, 1847, 51193, 11, 323, 810, 13, 1102, 753, 32367, 17277, 430, 1070, 374, 459, 8191, 3717, 13, 1102, 374, 264, 19240, 389, 279, 5000, 369, 42247, 11, 29130, 11, 323, 3674, 4954, 13, 1102, 753, 264, 8147, 2361, 311, 387, 304, 13, 1102, 753, 832, 430, 5195, 1053, 3021, 311, 387, 304, 627, 33117, 315, 5195, 11, 279, 832, 3245, 430, 5195, 706, 539, 1027, 3025, 311, 656, 1314, 374, 3674, 29130, 13, 39051, 706, 6982, 11471, 11, 719, 433, 706, 4745, 311, 11993, 505, 1202, 12625, 1529, 32109, 11, 653, 10097, 3384, 4519, 11, 323, 264, 6996, 75, 5100, 1217, 3217, 13, 2582, 74, 332, 706, 1047, 1202, 14269, 11, 422, 499, 3974, 304, 20023, 5270, 13, 23720, 39342, 574, 264, 7941, 24279, 3156, 6405, 3782, 1139, 14209, 13, 5377, 27414, 1981, 1664, 11, 358, 1541, 1431, 1524, 1440, 1148, 430, 374, 922, 13, 578, 1486, 1618, 1694, 430, 5195, 1587, 539, 3619, 3674, 29130, 627, 21124, 1587, 13, 578, 2816, 706, 1524, 9152, 311, 47201, 810, 2199, 5182, 1109, 5195, 11, 902, 374, 912, 2678, 61238, 13, 2684, 374, 5912, 13739, 922, 1268, 16358, 5690, 753, 6650, 706, 1027, 13, 1102, 753, 1193, 264, 5030, 315, 892, 1603, 279, 1403, 3719, 810, 6129, 922, 872, 18455, 627, 21124, 11, 3508, 701, 1093, 433, 477, 539, 11, 374, 264, 6023, 311, 5195, 13, 1102, 1436, 3719, 320, 333, 499, 1541, 1431, 2736, 2980, 433, 311, 387, 779, 8, 279, 1455, 3062, 3997, 389, 279, 8191, 13, 67034, 753, 2883, 5334, 311, 33692, 520, 4395, 499, 323, 701, 4885, 527, 709, 311, 13, 1102, 706, 2680, 311, 810, 4443, 2038, 389, 922, 1202, 3932, 1109, 12660, 775, 2001, 1606, 4725, 8191, 3932, 320, 54719, 889, 7784, 1431, 279, 1455, 13312, 1355, 402, 14029, 4315, 603, 8, 8541, 311, 4430, 5115, 264, 2766, 810, 389, 5690, 1109, 18403, 389, 279, 5000, 11, 520, 3325, 505, 1148, 358, 4070, 3970, 13, 1115, 374, 15525, 2038, 311, 50270, 13, 1115, 374, 2038, 430, 5195, 3250, 1431, 617, 13, 1115, 3727, 264, 29722, 5811, 369, 50270, 311, 3185, 449, 5690, 13, 1102, 753, 264, 20156, 44518, 3938, 11, 369, 2771, 627, 4071, 499, 649, 387, 2771, 922, 832, 3245, 25, 5690, 690, 387, 1618, 369, 279, 1317, 38968, 13, 2360, 832, 374, 12096, 704, 420, 2883, 11, 520, 3325, 539, 1418, 67034, 374, 520, 279, 34865, 13, 1283, 44330, 311, 1935, 5690, 311, 459, 67992, 323, 311, 3719, 459, 1524, 11493, 836, 2212, 279, 24867, 13, 1102, 2216, 1436, 3719, 279, 1455, 3062, 2883, 304, 279, 1917, 627, 40, 27136, 4510, 67034, 1436, 1304, 420, 3621, 13, 358, 8101, 279, 1972, 3488, 374, 1981, 656, 499, 30, 128001, 128000, 10445, 374, 8850, 264, 3958, 3245, 5380, 91471, 7621, 729, 1057, 22852, 1887, 323, 649, 5353, 41713, 5674, 11, 80311, 5435, 1778, 439, 8725, 17254, 323, 6348, 23349, 66358, 28439, 11, 323, 25983, 48111, 13, 1102, 649, 3063, 311, 49858, 80043, 323, 1524, 42227, 4648, 13, 14171, 13, 2057, 4423, 304, 21249, 8850, 11, 279, 1917, 5992, 29565, 323, 872, 19459, 7838, 430, 627, 4438, 656, 499, 5622, 264, 8850, 5380, 50179, 311, 5664, 17331, 4718, 43067, 323, 11406, 4718, 9601, 198, 12, 27628, 6261, 311, 2503, 449, 701, 8850, 369, 220, 17, 12, 18, 4520, 520, 264, 892, 627, 12, 9842, 1523, 279, 2574, 499, 527, 26259, 369, 627, 12, 5031, 485, 6261, 430, 701, 18547, 374, 264, 3637, 7830, 315, 24278, 627, 12, 5560, 28485, 311, 93789, 701, 12047, 24087, 627, 12, 93921, 6629, 701, 25775, 627, 3957, 1694, 27207, 9498, 5380, 4599, 499, 3207, 27207, 11, 279, 8631, 2077, 304, 701, 8271, 12302, 13, 1472, 3217, 459, 79492, 13270, 430, 61272, 701, 24569, 449, 24463, 11, 8405, 499, 449, 810, 61784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 8333, 1234, 8631, 13, 2876, 264, 8571, 315, 57775, 15316, 5380, 10445, 1097, 358, 779, 16984, 315, 36394, 5380, 23389, 4881, 315, 6515, 22761, 41163, 362, 8850, 315, 36394, 1253, 19646, 505, 1057, 5933, 8850, 315, 16054, 323, 1694, 15902, 13, 49807, 6427, 389, 279, 6784, 430, 2643, 387, 69177, 505, 264, 4498, 505, 264, 1579, 2035, 1101, 1436, 17210, 311, 279, 4500, 315, 1645, 22761, 41163, 13, 6515, 22761, 41163, 11, 1093, 682, 1343, 677, 3557, 11, 8111, 311, 387, 264, 17508, 5621, 1335, 315, 279, 4725, 8850, 2077, 627, 4438, 649, 358, 3009, 856, 24087, 22571, 5380, 33787, 5627, 311, 4465, 701, 24087, 198, 12, 12040, 892, 704, 13, 1102, 753, 12266, 311, 1781, 9539, 994, 499, 3207, 49886, 449, 8850, 477, 18547, 627, 12, 426, 1244, 383, 1555, 22743, 13, 1442, 499, 1212, 311, 636, 264, 10819, 53205, 477, 81366, 75818, 11, 279, 1888, 3245, 374, 539, 311, 4465, 433, 627, 12, 19109, 701, 24087, 627, 12, 38891, 279, 12047, 627, 12, 9372, 520, 279, 6029, 627, 12, 4418, 1431, 1456, 311, 387, 4832, 627, 12, 20796, 1082, 264, 6380, 2035, 627, 12, 19513, 922, 433, 627, 4438, 656, 499, 23075, 264, 8850, 14646, 5380, 4438, 311, 6193, 2063, 27047, 43067, 198, 12, 59121, 304, 60005, 13, 2360, 832, 690, 4510, 304, 499, 323, 701, 18000, 422, 499, 1541, 1431, 4510, 304, 6261, 627, 12, 7531, 279, 19385, 45446, 13, 763, 1455, 5157, 11, 279, 5353, 315, 8850, 1253, 387, 5655, 40314, 291, 627, 12, 9934, 68685, 287, 60005, 627, 12, 6122, 369, 433, 627, 12, 21496, 279, 43067, 323, 11406, 449, 433, 13, 128001, 128000, 644, 1667, 8208, 555, 11, 19624, 10977, 79101, 1790, 810, 389, 2254, 5070, 311, 14201, 5694, 323, 304, 29149, 3878, 33008, 11415, 1268, 3062, 24875, 574, 439, 264, 19641, 13, 2468, 2162, 856, 39284, 3309, 757, 814, 1047, 264, 1450, 6656, 2606, 11, 279, 2385, 315, 902, 374, 2103, 304, 279, 13863, 13, 2030, 54453, 8294, 33008, 1051, 264, 16686, 627, 85102, 709, 2212, 279, 15140, 11, 832, 315, 279, 1690, 7185, 29960, 34054, 574, 9168, 7830, 8384, 13, 36016, 24797, 8748, 264, 34738, 369, 62826, 389, 279, 384, 6194, 43038, 505, 279, 54587, 62306, 552, 584, 1053, 1935, 264, 4321, 304, 2212, 279, 17967, 88, 83858, 6070, 323, 45882, 520, 279, 5569, 315, 279, 4857, 13, 2030, 304, 3293, 1667, 358, 4070, 2586, 311, 39256, 1070, 1051, 1690, 1778, 14726, 24392, 323, 1063, 1633, 2362, 11, 902, 527, 28390, 315, 14975, 627, 7184, 8051, 21396, 7830, 8384, 574, 389, 279, 735, 34263, 18314, 3185, 315, 279, 15140, 11, 304, 2919, 8208, 555, 11, 23546, 1051, 539, 439, 2466, 264, 8331, 994, 11075, 555, 279, 15140, 11, 1606, 279, 15140, 574, 279, 6149, 555, 902, 279, 25958, 46368, 13, 15636, 8051, 358, 690, 1101, 6420, 468, 327, 8350, 304, 420, 6710, 11, 1202, 1606, 315, 872, 4597, 24639, 323, 40800, 4669, 15688, 430, 814, 23528, 311, 387, 5343, 627, 91, 85103, 7830, 2606, 11, 3623, 735, 34263, 18314, 7511, 2520, 3187, 11, 279, 24417, 3967, 2606, 304, 279, 3158, 574, 520, 735, 9672, 4845, 64, 389, 8681, 10951, 13, 735, 9672, 4845, 64, 574, 264, 4216, 9052, 1647, 5174, 2816, 323, 264, 16600, 2606, 16625, 555, 3090, 574, 3967, 311, 3073, 1070, 13, 320, 6255, 809, 281, 13, 1627, 8, 578, 66477, 1051, 1101, 26611, 304, 279, 3339, 315, 2606, 33610, 11, 902, 1051, 305, 95550, 505, 14791, 7091, 304, 426, 750, 67072, 11, 46506, 2996, 1216, 323, 358, 13085, 433, 574, 5115, 11000, 814, 889, 6818, 311, 8819, 264, 2606, 11046, 389, 279, 3468, 10602, 11, 279, 9998, 1405, 584, 439, 2911, 6476, 279, 71630, 315, 279, 4883, 2007, 13, 362, 27387, 50565, 389, 279, 2606, 505, 473, 23242, 6798, 5165, 6150, 374, 1618, 627, 791, 40676, 79910, 1590, 4036, 25076, 315, 4363, 304, 279, 3158, 1306, 279, 41168, 62366, 13, 320, 1383, 67020, 12086, 220, 4645, 12, 7699, 8, 578, 79910, 1590, 3782, 1139, 1694, 2391, 279, 62818, 3536, 323, 7263, 1690, 502, 6848, 323, 3956, 2737, 4857, 12823, 323, 5557, 1203, 505, 279, 11226, 13, 4314, 14645, 5343, 18637, 304, 46472, 323, 10160, 76, 3385, 627, 82990, 3582, 11, 452, 532, 75, 81421, 5415, 430, 279, 79910, 1590, 1051, 11938, 459, 6484, 3090, 2606, 304, 10164, 8350, 320, 263, 53240, 35236, 8, 323, 11641, 71217, 6862, 304, 813, 1866, 17009, 5415, 430, 814, 28088, 264, 10160, 26064, 389, 279, 24898, 315, 99575, 6460, 520, 27560, 511, 7561, 7813, 383, 12930, 343, 323, 430, 420, 1053, 3010, 387, 3967, 439, 26755, 337, 38448, 8384, 13, 320, 39, 797, 6862, 281, 13, 22, 8, 358, 6227, 3060, 5403, 477, 11011, 315, 279, 362, 4010, 4102, 3515, 264, 8384, 304, 279, 3158, 11, 358, 78495, 420, 433, 374, 279, 99575, 10160, 26064, 814, 8464, 311, 11, 902, 814, 11000, 1054, 67643, 304, 369, 863, 2768, 279, 46735, 315, 279, 79910, 277, 2015, 627, 91, 6728, 1771, 315, 18011, 72638, 753, 10160, 26064, 11, 99575, 6460, 7511, 791, 79910, 1590, 1511, 279, 34202, 439, 264, 3445, 315, 24038, 8070, 11, 439, 1550, 1884, 889, 8272, 1124, 13, 71854, 279, 76847, 3318, 279, 4363, 7318, 369, 279, 1314, 311, 3974, 1070, 11, 311, 3139, 31665, 323, 1101, 7318, 369, 279, 46472, 315, 872, 14095, 13, 358, 4070, 1101, 1373, 15038, 430, 814, 7318, 264, 7060, 11, 422, 814, 1550, 539, 617, 24875, 311, 2606, 13, 19513, 922, 264, 2033, 10950, 4999, 11663, 33008, 1051, 7559, 520, 29838, 15222, 10470, 65555, 11, 389, 279, 9702, 458, 15530, 13, 49386, 439, 28138, 33008, 814, 1511, 279, 2410, 315, 279, 43038, 311, 6678, 279, 12414, 2606, 13587, 320, 6255, 809, 12086, 220, 5538, 12, 1227, 570, 578, 1920, 574, 12309, 4382, 13, 3277, 279, 43038, 574, 520, 1579, 3090, 11, 279, 3090, 574, 5762, 1203, 555, 264, 3824, 11, 323, 994, 279, 43038, 4024, 704, 433, 574, 6004, 1139, 264, 2606, 42283, 902, 23980, 279, 13587, 323, 902, 5015, 279, 14095, 627, 91, 29353, 26064, 320, 48418, 26064, 8, 520, 29838, 15222, 10470, 505, 33919, 4349, 809, 753, 2363, 7511, 791, 1403, 1023, 33008, 430, 584, 1440, 315, 2586, 505, 279, 62677, 11639, 358, 1053, 13085, 13, 3861, 574, 520 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 426, 750, 4919, 32005, 323, 574, 16625, 304, 264, 1648, 4528, 311, 279, 28138, 26064, 7633, 3485, 13, 578, 1023, 574, 520, 26924, 12424, 4783, 11, 1935, 264, 1427, 311, 279, 2163, 439, 499, 2586, 1234, 279, 14497, 14836, 7119, 6424, 13, 11995, 1521, 33008, 1051, 3547, 16252, 304, 3878, 315, 872, 5784, 323, 927, 279, 1828, 1403, 5672, 358, 690, 7664, 1855, 627, 1383, 67020, 13, 452, 13, 578, 18088, 51203, 3536, 13, 220, 1049, 22, 13, 100165, 23763, 13, 33977, 198, 6255, 809, 13, 426, 13, 578, 29271, 50714, 13, 220, 1049, 19, 13, 53036, 3907, 8612, 13, 53036, 627, 39, 797, 6862, 13, 622, 13, 4212, 612, 72116, 13, 10323, 4756, 3925, 315, 279, 99575, 323, 25611, 4845, 12299, 13, 128001, 128000, 2170, 1057, 9440, 33, 57149, 5355, 1903, 1202, 1648, 1555, 279, 3363, 11, 584, 28129, 8800, 650, 30149, 44191, 27782, 10951, 11, 902, 369, 927, 264, 7895, 1667, 10434, 439, 279, 4409, 753, 2700, 13, 3277, 279, 2700, 574, 7882, 43726, 1523, 279, 4275, 6723, 11188, 11, 279, 13218, 6244, 2162, 311, 279, 12937, 19224, 11, 323, 3432, 279, 2816, 369, 51677, 11, 23978, 323, 1023, 586, 14016, 13, 1226, 8738, 555, 279, 1403, 12093, 56070, 54673, 11, 357, 86892, 449, 18198, 529, 463, 9092, 11, 430, 10434, 439, 5707, 72678, 10873, 387, 76544, 304, 279, 220, 5245, 15, 82, 323, 3432, 527, 66697, 315, 430, 892, 320, 263, 1063, 586, 25425, 6962, 7990, 288, 527, 2103, 13318, 389, 1124, 570, 5751, 9284, 574, 800, 82, 13, 11291, 323, 7043, 57829, 11, 7559, 304, 279, 6278, 315, 11291, 323, 7043, 72535, 389, 473, 548, 10951, 627, 4599, 11291, 279, 8681, 312, 12, 21974, 279, 12098, 3235, 279, 4275, 6723, 11188, 304, 220, 8258, 18, 11, 568, 6773, 311, 1977, 264, 12108, 311, 6144, 279, 3158, 505, 3284, 3440, 555, 279, 31209, 13695, 323, 45874, 13, 578, 70938, 574, 18538, 389, 264, 2678, 13218, 304, 279, 4275, 6723, 9665, 389, 3297, 220, 1544, 11, 220, 8258, 18, 323, 430, 1938, 6244, 279, 15553, 315, 279, 3363, 315, 14539, 55048, 13, 578, 4593, 59626, 1051, 24164, 1603, 279, 70938, 574, 1524, 8308, 13, 1789, 430, 2944, 11, 505, 220, 10861, 16, 60525, 279, 70938, 52258, 961, 315, 279, 3363, 753, 342, 51103, 323, 4856, 73835, 10434, 439, 264, 1579, 4868, 5054, 17999, 13, 22395, 279, 1176, 42712, 574, 11291, 753, 42301, 1245, 4538, 8683, 20568, 323, 810, 51287, 120876, 2303, 5230, 27782, 11, 480, 672, 16618, 11, 91993, 323, 63912, 753, 9191, 10868, 11, 20643, 627, 644, 279, 6278, 315, 279, 70938, 13656, 279, 16358, 800, 82, 13, 11291, 323, 7043, 57829, 11, 279, 55763, 2035, 315, 682, 279, 8690, 5867, 716, 1105, 11, 13714, 44357, 323, 10517, 423, 65850, 505, 11291, 279, 8681, 311, 20643, 14767, 11, 3156, 279, 842, 315, 279, 13041, 869, 32447, 13, 10502, 2844, 555, 279, 92501, 82, 304, 220, 7529, 23, 11, 279, 8625, 315, 26132, 277, 40796, 8105, 323, 374, 3070, 1051, 7882, 1618, 304, 220, 2550, 22, 505, 279, 68600, 1122, 3363, 315, 816, 1247, 977, 258, 10481, 627, 791, 57829, 574, 279, 1176, 8993, 304, 279, 3363, 311, 387, 5918, 315, 9998, 320, 42967, 220, 11123, 17, 12, 1644, 8, 323, 1202, 2955, 374, 19018, 369, 264, 8690, 46273, 8993, 13, 1952, 1948, 315, 279, 31747, 291, 81, 1147, 529, 342, 91354, 993, 556, 13656, 264, 41792, 21411, 34426, 10168, 264, 5425, 13, 1115, 584, 589, 651, 2194, 374, 832, 315, 279, 1455, 21102, 18210, 315, 14539, 55048, 11, 323, 520, 220, 7507, 7693, 16615, 11, 279, 80250, 574, 279, 8592, 4857, 304, 279, 3363, 3156, 279, 220, 508, 339, 9478, 13, 7089, 14016, 304, 279, 70938, 2997, 279, 4409, 11346, 16730, 323, 279, 42410, 11, 832, 315, 1193, 1403, 7634, 304, 8524, 1405, 19289, 323, 60082, 527, 29437, 291, 13, 128001, 128000, 2746, 499, 527, 264, 17055, 621, 292, 22641, 804, 11, 499, 1440, 430, 279, 4367, 315, 279, 3090, 701, 11012, 527, 3794, 374, 9200, 13, 1472, 1101, 1440, 430, 85206, 323, 1023, 28856, 26333, 649, 387, 1766, 304, 15596, 3090, 13, 1556, 77537, 14143, 649, 1520, 311, 4148, 1521, 28856, 26333, 11, 3339, 701, 11012, 39345, 323, 10923, 1124, 311, 41972, 13, 15281, 810, 922, 1268, 77537, 44163, 990, 323, 1505, 704, 902, 832, 374, 279, 1888, 369, 499, 304, 420, 1772, 627, 46, 52719, 660, 3090, 374, 264, 11364, 1749, 311, 81155, 264, 17055, 621, 292, 1887, 2085, 3515, 311, 24659, 433, 1523, 477, 8493, 4207, 64842, 3836, 287, 4395, 13, 34826, 287, 77537, 1139, 3090, 11, 389, 279, 1023, 1450, 11, 374, 3117, 30549, 1109, 53226, 433, 1139, 279, 3805, 11, 779, 1070, 753, 2753, 8137, 627, 2675, 649, 1005, 459, 77537, 14143, 311, 4087, 1463, 2225, 279, 3090, 323, 3789, 6067, 315, 701, 17055, 621, 292, 1887, 520, 279, 1890, 892, 13, 578, 1949, 53034, 6605, 77537, 35715, 690, 10950, 311, 28856, 78284, 304, 279, 1890, 1648, 814, 1053, 304, 279, 16975, 627, 29353, 31969, 369, 40602, 621, 1233, 198, 46, 52719, 660, 3090, 706, 1027, 6982, 311, 387, 459, 7524, 64842, 3836, 519, 2403, 264, 7029, 2134, 315, 8162, 76991, 11, 2737, 24032, 11, 42068, 11, 323, 81540, 13, 763, 5369, 11, 25616, 263, 660, 3090, 649, 1520, 311, 2585, 68951, 6650, 304, 17055, 621, 292, 6067, 13, 3296, 18189, 279, 3392, 315, 68951, 304, 279, 1887, 11, 25616, 263, 660, 3090, 649, 1101, 1520, 311, 7417, 279, 4367, 315, 279, 3090, 323, 279, 8244, 2890, 315, 279, 11012, 627, 46, 52719, 660, 3090, 374, 4228, 311, 1005, 323, 374, 2561, 520, 1455, 13863, 8312, 10756, 13, 2057, 1005, 11, 5042, 923, 264, 2678, 3392, 315, 25616, 263, 660, 3090, 311, 279, 17055, 621, 292, 1887, 323, 2187, 433, 311, 4319, 6468, 369, 264, 2478, 4207, 13, 1789, 1888, 3135, 11, 433, 374, 3062, 311, 1005, 25616, 263, 660, 3090, 389, 264, 5912, 8197, 627, 26777, 31969, 369, 40602, 621, 1233, 198, 26777, 6514, 374, 459, 3062, 13189, 315, 17055, 621, 1233, 11, 439, 433, 649, 1520, 311, 7417, 279, 4367, 315, 279, 3805, 2212, 279, 11012, 13, 3296, 54828, 323, 30770, 279, 3805, 11, 17055, 621, 292, 6067, 649, 4148, 28856, 83661, 323, 3493, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11012, 449, 7878, 11, 4335, 3805, 13, 1115, 539, 1193, 8779, 311, 7417, 6136, 6650, 11, 719, 1101, 8108, 279, 5326, 315, 8624, 627, 644, 5369, 11, 3805, 6514, 649, 1101, 1520, 311, 37377, 9499, 323, 38193, 5990, 11, 8405, 23669, 7982, 4787, 369, 279, 11012, 13, 1666, 264, 1121, 11, 3805, 6514, 374, 459, 7718, 3777, 315, 904, 17055, 621, 292, 1887, 627, 85423, 315, 507, 8855, 198, 56351, 1109, 92479, 483, 198, 46, 8855, 374, 264, 8147, 36172, 4954, 8479, 13, 507, 8855, 374, 220, 17, 13, 20, 87, 810, 7524, 1109, 85206, 520, 40599, 29561, 11, 17684, 1026, 11, 79902, 11, 323, 37808, 5868, 323, 374, 220, 508, 3115, 810, 36875, 1109, 85206, 83451, 13, 12758, 1113, 264, 6650, 3130, 311, 77537, 3131, 477, 11157, 264, 2305, 690, 4335, 323, 66740, 553, 701, 11012, 323, 17614, 1418, 1101, 20399, 4954, 7241, 627, 10464, 433, 311, 64842, 3836, 7241, 439, 1664, 439, 6724, 7738, 264, 7982, 3158, 1990, 31665, 555, 16204, 323, 66740, 4954, 433, 6288, 323, 13750, 13, 9785, 323, 66740, 553, 24198, 1778, 439, 37143, 20645, 11, 4018, 5153, 11, 15670, 11, 7359, 11, 477, 4205, 775, 34716, 304, 279, 1920, 627, 7131, 499, 1440, 430, 25616, 263, 660, 3090, 374, 459, 9250, 1648, 311, 81155, 323, 46283, 264, 17055, 621, 292, 1887, 30, 1472, 1541, 1431, 1205, 311, 24659, 279, 1887, 477, 8493, 4207, 64842, 3836, 287, 4395, 13, 2052, 499, 617, 311, 656, 374, 14155, 77537, 1139, 279, 3090, 11, 323, 433, 690, 5622, 904, 28856, 78284, 304, 279, 1887, 13, 578, 2294, 3245, 922, 420, 1749, 374, 430, 433, 649, 4087, 1463, 2225, 279, 3090, 323, 3789, 6067, 2391, 264, 6650, 11008, 11, 31526, 3789, 5868, 323, 7999, 5217, 24463, 311, 279, 11012, 627, 10464, 507, 8855, 369, 701, 89334, 198, 2746, 499, 1390, 311, 12602, 2024, 2821, 288, 11, 2035, 77537, 44163, 304, 264, 56234, 1887, 753, 17960, 32275, 13, 1442, 54097, 44032, 374, 1101, 5995, 11, 923, 459, 77537, 14143, 311, 279, 17960, 13, 13969, 304, 4059, 430, 279, 1193, 555, 3107, 315, 1701, 77537, 374, 10748, 24463, 627, 7927, 12764, 374, 23134, 555, 264, 12756, 42688, 22658, 11, 389, 29654, 28648, 14143, 13, 2684, 527, 912, 7230, 10831, 20748, 1139, 279, 3805, 477, 72329, 11, 323, 912, 51024, 11742, 71783, 7293, 389, 279, 1537, 13, 507, 8855, 6067, 527, 11622, 57340, 65309, 627, 28589, 11, 77537, 44163, 2873, 311, 387, 264, 26455, 5507, 369, 17055, 621, 292, 70077, 13, 2435, 649, 1520, 8108, 8624, 39775, 323, 7417, 6136, 6650, 13, 507, 8855, 44163, 1288, 387, 1511, 449, 28930, 11, 4869, 11, 439, 814, 649, 1101, 11682, 11012, 422, 539, 1511, 12722, 13, 1472, 649, 1817, 704, 1057, 5117, 1772, 389, 507, 8855, 29458, 19220, 73656, 13, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]