Ba2han/pt-1501-tokenized-2.2 · Datasets at Hugging Face

input_ids listlengths 7 4k	attention_mask listlengths 7 4k
[ 128000, 2, 24565, 7762, 198, 67660, 31164, 7762, 320, 16381, 220, 19, 6287, 220, 4468, 15, 8, 374, 264, 4846, 4987, 11904, 1589, 875, 1430, 889, 6476, 304, 1403, 3475, 9248, 323, 1403, 3861, 6187, 4514, 367, 1147, 13, 1283, 574, 264, 5043, 11, 19738, 15631, 1565, 323, 14454, 264, 54829, 8736, 15664, 449, 12131, 13358, 616, 369, 4149, 6723, 278, 304, 279, 4216, 220, 2550, 15, 82, 11, 439, 814, 6818, 311, 1421, 12114, 279, 27025, 315, 279, 364, 19312, 13257, 6, 1667, 13, 1283, 1903, 813, 3475, 17755, 2403, 1561, 17340, 2391, 279, 220, 2550, 19, 4235, 2721, 3280, 11, 4737, 4330, 289, 17938, 304, 279, 4948, 3475, 13, 1283, 574, 34707, 311, 617, 813, 7076, 72359, 449, 430, 315, 61325, 9641, 11, 323, 433, 574, 1243, 4018, 2875, 4245, 311, 11134, 13, 5414, 1176, 15144, 7076, 9575, 19212, 8254, 15956, 304, 902, 568, 3952, 220, 12533, 289, 17938, 449, 264, 1888, 315, 220, 23, 369, 220, 3971, 2403, 18516, 38894, 13, 763, 813, 1403, 3861, 6187, 4514, 367, 1147, 2391, 279, 88430, 56204, 304, 220, 2550, 20, 568, 3952, 2380, 289, 17938, 13, 1283, 18677, 41061, 6798, 5234, 6150, 304, 20742, 6993, 627, 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 ]
[ 128000, 2, 42893, 393, 3328, 1432, 49, 952, 393, 3328, 320, 41512, 8046, 36035, 11355, 393, 3328, 705, 356, 11855, 11, 17067, 8143, 320, 22, 6841, 220, 9378, 22, 1389, 220, 1682, 7552, 220, 2550, 17, 8, 574, 264, 8013, 40360, 627, 8100, 574, 279, 1176, 5333, 311, 5371, 279, 16657, 596, 7573, 17867, 369, 68787, 304, 220, 6280, 20, 11, 323, 574, 21489, 356, 11855, 304, 220, 4468, 24, 311, 34662, 1077, 1690, 19564, 311, 6498, 17649, 13, 763, 220, 4468, 19, 11, 1364, 574, 7086, 264, 330, 1110, 41890, 315, 47470, 498, 279, 8592, 34662, 2728, 555, 279, 16591, 13581, 315, 47470, 382, 567, 23591, 2324, 323, 6873, 198, 47, 3328, 574, 9405, 304, 7695, 8350, 11, 74665, 315, 2380, 2911, 315, 10058, 393, 3328, 320, 9714, 17, 4235, 5926, 21, 8, 323, 813, 7555, 9928, 10994, 16870, 27625, 16870, 309, 1263, 320, 77, 8047, 111658, 852, 657, 26, 220, 9714, 24, 4235, 6393, 16, 705, 2225, 18328, 13639, 304, 279, 6460, 4060, 315, 7295, 13, 3005, 14264, 709, 304, 330, 5481, 269, 40190, 498, 719, 330, 1964, 20587, 574, 1380, 915, 3149, 1, 555, 42687, 473, 467, 957, 20585, 11, 902, 1364, 6646, 330, 31606, 950, 3343, 6385, 7342, 16125, 6821, 1077, 2728, 836, 5042, 439, 330, 49, 952, 1210, 3005, 574, 33142, 520, 279, 47051, 1540, 6150, 11, 18943, 382, 567, 41576, 198, 47, 3328, 574, 20011, 520, 279, 5111, 8410, 505, 220, 7529, 20, 311, 220, 7529, 22, 11, 3010, 3318, 439, 264, 30581, 520, 264, 14891, 2883, 304, 81883, 11, 14916, 1941, 21878, 5250, 15969, 14020, 18080, 3623, 2637, 1405, 1364, 14958, 3156, 220, 7285, 15, 13, 763, 81883, 11, 1364, 58046, 462, 2954, 12131, 323, 358, 3315, 42969, 520, 4987, 86, 820, 11, 279, 6699, 315, 10058, 83853, 11, 323, 3010, 9087, 83853, 1505, 36132, 53933, 304, 7295, 304, 220, 5926, 22, 11, 4737, 264, 40146, 2802, 304, 813, 4477, 11, 315, 902, 1364, 574, 8965, 9200, 627, 31082, 11, 393, 3328, 323, 1077, 51263, 1695, 4333, 11, 65163, 507, 68070, 5169, 11, 24026, 1611, 2194, 323, 8371, 3751, 11, 264, 2678, 7626, 430, 89004, 304, 46536, 11, 24937, 14891, 13, 578, 2626, 8036, 994, 4435, 5111, 8105, 6137, 13, 220, 393, 3328, 3952, 990, 304, 264, 8803, 13, 4740, 279, 4208, 11, 1364, 323, 507, 68070, 5169, 9107, 264, 2678, 2626, 19354, 92825, 13, 220, 393, 3328, 574, 1940, 321, 1285, 520, 279, 23153, 2320, 71959, 1511, 304, 2225, 14891, 323, 35788, 49682, 627, 3915, 220, 6393, 21, 311, 220, 4468, 17, 11, 1364, 574, 3629, 264, 8810, 389, 18588, 9063, 38737, 11, 323, 505, 220, 6280, 21, 311, 220, 5162, 15, 1364, 9922, 15870, 389, 279, 18588, 596, 578, 3320, 1771, 17236, 11, 832, 315, 279, 1176, 12707, 3137, 38737, 382, 567, 14128, 295, 198, 47, 3328, 6137, 4477, 32349, 4216, 304, 2324, 1234, 279, 10383, 315, 1077, 2978, 24247, 6699, 13, 763, 220, 5926, 15, 11, 1364, 4756, 1077, 1176, 2363, 315, 32349, 449, 279, 1520, 315, 473, 10746, 556, 7984, 1092, 13, 18185, 1077, 2626, 323, 8803, 990, 11, 393, 3328, 9152, 311, 8493, 264, 2478, 4207, 264, 1938, 4477, 32349, 627, 8100, 4024, 389, 311, 3498, 220, 972, 27378, 315, 502, 323, 14890, 33487, 927, 264, 220, 2031, 4771, 7076, 439, 264, 4756, 40360, 13, 220, 9176, 315, 1077, 27378, 2322, 449, 1063, 9200, 323, 6020, 2450, 627, 8100, 4036, 279, 86883, 269, 303, 268, 32293, 304, 220, 7285, 22, 369, 362, 56204, 315, 44716, 11, 4756, 279, 3766, 1060, 13, 763, 220, 6280, 19, 1364, 2834, 279, 12656, 469, 13, 64782, 80998, 17768, 369, 1077, 2363, 578, 9939, 6095, 320, 34, 676, 295, 8612, 11, 220, 6280, 18, 3677, 567, 12179, 323, 34453, 198, 47, 3328, 574, 264, 8776, 380, 40360, 26, 1364, 31890, 1455, 315, 279, 9526, 811, 315, 6617, 33487, 323, 15236, 279, 23819, 323, 98034, 31956, 315, 279, 220, 777, 339, 9478, 13, 3861, 9940, 706, 7633, 1077, 323, 1077, 32349, 8617, 512, 47, 3328, 11, 304, 13168, 311, 350, 13, 328, 13, 34362, 354, 11, 85418, 79352, 11, 323, 468, 13, 473, 13, 15416, 268, 11, 374, 264, 8776, 40360, 304, 279, 1584, 315, 10058, 58463, 11, 11355, 17747, 1964, 818, 11, 11355, 58374, 11, 362, 13, 469, 13, 473, 788, 1543, 11, 468, 13, 426, 13, 32269, 1900, 11, 323, 26241, 445, 93421, 13, 27140, 279, 6617, 1705, 11, 1364, 19029, 21896, 449, 23819, 477, 33487, 1376, 11, 6463, 1587, 1364, 13488, 6617, 380, 22100, 477, 3085, 87313, 315, 6617, 6498, 8396, 13, 12361, 11, 1364, 4375, 449, 11537, 20645, 323, 33487, 7739, 11, 323, 1077, 84050, 311, 11857, 1077, 7899, 311, 1833, 304, 279, 6617, 380, 1584, 15100, 304, 961, 3249, 23531, 617, 45536, 1077, 32349, 13, 3005, 374, 539, 58930, 11, 33670, 2427, 42441, 11, 6463, 11, 77085, 11, 737, 2821, 17820, 481, 35192, 110128, 8161, 6342, 11, 330, 791, 10597, 32349, 315, 42893, 393, 3328, 1359, 32186, 323, 47470, 11, 220, 1313, 5651, 220, 1049, 20, 198, 18433, 315, 420, 11, 393, 3328, 574, 14134, 45536, 555, 23531, 315, 1077, 1938, 11, 323, 706, 1193, 304, 3293, 1667, 1027, 3970, 439, 3062, 25, 1077, 17444, 574, 9087, 555, 445, 93421, 596, 5201, 369, 1077, 32349, 320, 383, 5343, 3116, 315, 1077, 45319, 304, 578, 26275, 6017, 315, 12015, 52231, 28200, 6498, 85168, 4390, 8100, 574, 264, 1695, 4333, 315, 356, 13, 328, 13, 21256, 11, 889, 64747, 1077, 32349, 323, 3131, 1071, 11, 4184, 311, 813, 4333, 323, 6160, 42606, 10058, 328, 1155, 11, 430, 422, 568, 574, 279, 3169, 315, 893, 889, 2751, 12502, 11, 568, 1053, 617, 4934, 311, 32918, 42893, 393, 3328, 13, 763, 44818, 1990, 279, 1403, 11, 21256, 3629, 4742, 5118, 291, 1077, 990, 323, 1903, 18726, 13, 4497, 3629, 568, 18719, 1077, 43665, 315, 813, 45319, 13, 393, 3328, 374, 6646, 555, 1690, 21256, 31839, 311, 617, 1047, 459, 2515, 389, 813, 4477, 304, 279, 220, 6393, 15, 82, 323, 220, 6280, 15, 82, 627, 54, 13, 426, 13, 32269, 1900, 11, 17582, 4923, 301, 783, 323, 8888, 66249, 1101, 26893, 393, 3328, 596, 990, 323, 37475, 1077, 32349, 13, 220, 10425, 6941, 90227, 3131, 61414, 430, 393, 3328, 574, 832, 315, 279, 1455, 4113, 323, 7366, 74072, 1243, 5496, 627, 47, 3328, 596, 990, 9731, 311, 387, 4756, 304, 23064, 9268, 11, 2737, 512, 12, 578, 19797, 261, 6017, 315, 220, 508, 339, 28200, 11215, 596, 68787, 11, 1608, 13, 435, 36077, 2467, 38253, 320, 40672, 25, 19797, 261, 612, 19797, 261, 11, 220, 3753, 22, 705, 1405, 1077, 330, 791, 70906, 654, 596, 61891, 1, 323, 330, 85444, 59261, 1, 5101, 320, 604, 13, 4194, 2813, 4235, 2495, 4390, 12, 4497, 68787, 5321, 0, 220, 1041, 32495, 14128, 12116, 505, 279, 18588, 13792, 220, 19, 47516, 320, 40672, 25, 7357, 1543, 11, 220, 3753, 23, 705, 1405, 1077, 330, 791, 432, 799, 78703, 1, 8111, 320, 604, 13, 4194, 4645, 4235, 2437, 4390, 12, 578, 26275, 6017, 315, 19558, 85168, 11, 1608, 13, 3842, 64795, 27690, 320, 46, 23382, 25, 26275, 3907, 8612, 11, 220, 2550, 18, 705, 1405, 1077, 330, 791, 8574, 71, 2402, 1, 323, 330, 11663, 9029, 596, 21396, 37841, 1, 5101, 320, 604, 13, 4194, 14087, 4235, 3174, 4390, 12, 578, 60364, 16989, 2508, 315, 47470, 555, 11215, 25, 578, 15415, 6055, 304, 6498, 11, 220, 17, 303, 14002, 11, 98199, 13, 56786, 386, 13, 46092, 323, 31033, 480, 45597, 320, 3648, 4356, 25, 60364, 11, 220, 2550, 21, 510, 3753, 20, 9918, 1405, 1077, 330, 791, 28058, 5340, 79, 380, 1359, 330, 791, 18088, 23860, 1132, 1359, 330, 18788, 452, 12160, 596, 37340, 1359, 323, 330, 100077, 15255, 43508, 596, 62812, 1, 5101, 320, 604, 13, 4194, 10895, 18, 4235, 2813, 4390, 12, 578, 1561, 71244, 6017, 315, 6498, 85168, 11, 1608, 13, 7043, 6706, 16133, 320, 40672, 25, 20661, 27109, 11, 71244, 8612, 11, 220, 1049, 15, 705, 1405, 1077, 330, 4071, 369, 74355, 1, 8111, 320, 79, 13, 4194, 26366, 50655, 567, 9052, 10082, 34453, 198, 47, 3328, 7633, 1077, 18330, 11897, 311, 356, 13, 328, 13, 21256, 512, 2170, 311, 856, 10082, 11, 358, 42210, 433, 311, 356, 13, 328, 13, 21256, 13, 1789, 1790, 315, 856, 2324, 358, 12439, 810, 477, 2753, 439, 264, 52450, 336, 1122, 11, 719, 994, 279, 2132, 4208, 14760, 704, 11, 21256, 13195, 3892, 3115, 11, 323, 1101, 4756, 1063, 2697, 6603, 320, 1962, 2915, 330, 791, 82798, 9490, 2070, 45397, 4063, 323, 358, 574, 14470, 43770, 13, 358, 3782, 311, 1440, 1461, 16102, 11, 323, 568, 3782, 1618, 3892, 3115, 13, 21256, 596, 7493, 11, 779, 1633, 30311, 719, 2744, 922, 279, 4208, 1990, 1695, 323, 14289, 11, 6244, 264, 15690, 961, 315, 856, 10723, 323, 18330, 7241, 35192, 110128, 35364, 11, 42893, 393, 3328, 311, 13929, 452, 9188, 11, 30105, 220, 972, 3297, 220, 3753, 20, 627, 7131, 358, 3371, 499, 358, 4265, 4529, 311, 32186, 30, 7566, 11, 358, 4024, 612, 2751, 11007, 264, 1060, 4227, 477, 810, 13, 358, 574, 16625, 311, 433, 555, 279, 6958, 315, 356, 13, 328, 13, 21256, 323, 279, 4585, 315, 58701, 13, 46910, 23788, 2363, 91634, 276, 11, 4400, 27555, 49279, 358, 13383, 1148, 264, 28040, 3245, 433, 374, 311, 1935, 389, 11, 719, 358, 649, 956, 13085, 13353, 1203, 13, 1102, 63409, 2053, 264, 2294, 1690, 315, 832, 596, 5906, 4804, 520, 3131, 11, 315, 3388, 25, 719, 433, 12716, 2294, 58165, 11, 2288, 35192, 110128, 35364, 11, 42893, 393, 3328, 311, 452, 48726, 42216, 11, 30105, 220, 16, 6186, 220, 6393, 23, 382, 567, 62926, 5814, 315, 4375, 198, 12, 5629, 14128, 12116, 13, 7295, 25, 90227, 42216, 11, 220, 5926, 15, 627, 12, 5629, 323, 10657, 14128, 12116, 13, 7295, 25, 3005, 291, 612, 27738, 11, 220, 5926, 22, 627, 12, 3700, 325, 4949, 304, 473, 3536, 13, 15801, 2718, 17124, 11, 220, 7285, 16, 627, 12, 362, 9671, 21270, 596, 80074, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 7285, 19, 627, 12, 362, 56204, 315, 44716, 25, 14128, 12116, 220, 5926, 21, 4235, 7285, 20, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 7285, 21, 320, 53245, 315, 279, 86883, 269, 303, 268, 32293, 304, 220, 7285, 22, 4390, 12, 578, 17326, 99360, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 7285, 24, 627, 12, 578, 432, 799, 78703, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6393, 16, 627, 12, 14128, 336, 13, 62251, 25, 76337, 8612, 11, 220, 6393, 18, 627, 12, 578, 20467, 13, 14128, 12116, 220, 7285, 24, 4235, 6393, 19, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6393, 20, 627, 12, 393, 3328, 389, 51849, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6393, 21, 627, 12, 80770, 689, 320, 11425, 82, 505, 362, 56204, 315, 44716, 11, 578, 17326, 99360, 323, 578, 20467, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6280, 15, 627, 12, 578, 9939, 6095, 25, 14128, 12116, 220, 6393, 17, 4235, 6280, 17, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6280, 18, 320, 53245, 315, 279, 12656, 64782, 80998, 17768, 25, 16657, 596, 7573, 17867, 369, 68787, 11, 220, 6280, 20, 4390, 12, 16782, 555, 28206, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 5162, 21, 627, 12, 14128, 12116, 220, 5926, 21, 4235, 5162, 21, 13, 7295, 25, 4821, 7379, 612, 9305, 75, 3168, 11547, 676, 295, 8612, 11, 220, 5162, 23, 627, 12, 4060, 315, 423, 6478, 13, 7295, 25, 4821, 7379, 612, 45236, 11, 220, 4468, 20, 627, 12, 362, 32450, 311, 7531, 13, 7295, 25, 2998, 411, 277, 1677, 8612, 11, 220, 3753, 22, 627, 12, 4349, 2258, 14128, 12116, 25, 220, 2550, 15, 13, 32284, 2630, 25, 2998, 411, 277, 1677, 11, 220, 2550, 15, 627, 12, 4349, 2258, 14128, 12116, 13, 7295, 25, 2998, 411, 277, 1677, 11, 220, 2550, 21, 627, 12, 578, 45397, 315, 42893, 393, 3328, 25, 60555, 10948, 13, 220, 66889, 555, 4418, 468, 13, 6342, 13, 220, 65599, 25, 3907, 315, 40838, 8612, 11, 220, 679, 19, 13, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 58222, 5002, 23815, 780, 22872, 198, 791, 58222, 5002, 23815, 780, 22872, 374, 7559, 304, 279, 4219, 315, 279, 58222, 5002, 15679, 4871, 279, 10608, 462, 2099, 44382, 5955, 5764, 2225, 30619, 323, 16166, 34239, 13, 578, 30619, 6485, 4519, 459, 8223, 2922, 2194, 11, 220, 914, 37839, 7463, 323, 264, 8821, 220, 1032, 21117, 43515, 1664, 449, 220, 16, 73601, 323, 220, 18, 73601, 10683, 19826, 627, 791, 16166, 7463, 6485, 17610, 315, 264, 32813, 11, 25944, 1404, 11, 8223, 2922, 2194, 11, 220, 1135, 73601, 7463, 11, 902, 649, 387, 16489, 311, 220, 508, 34125, 11, 220, 717, 315, 902, 6767, 220, 914, 12303, 2402, 323, 5217, 8223, 220, 914, 73601, 34125, 13, 578, 12764, 706, 21685, 12387, 2254, 323, 15481, 43682, 11, 2737, 279, 220, 2550, 24, 18516, 22967, 48854, 323, 279, 220, 1049, 18, 15535, 78, 29908, 11378, 627, 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 ]
[ 128000, 2, 9777, 460, 267, 355, 198, 41041, 460, 267, 355, 374, 264, 64677, 315, 49112, 645, 304, 279, 3070, 28764, 309, 1729, 66, 114405, 11, 8649, 279, 2768, 9606, 512, 12, 9777, 460, 267, 355, 1615, 1002, 355, 3206, 52235, 11, 220, 3753, 20, 198, 12, 9777, 460, 267, 355, 3521, 2053, 355, 3206, 52235, 11, 220, 4468, 23, 198, 12, 9777, 460, 267, 355, 15550, 72, 1015, 480, 9672, 414, 11, 220, 6280, 22, 198, 12, 9777, 460, 267, 355, 514, 22524, 3510, 1015, 3206, 52235, 11, 220, 3753, 20, 198, 12, 9777, 460, 267, 355, 1675, 484, 78028, 3206, 52235, 11, 220, 2550, 15, 271, 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 ]
[ 128000, 2, 76020, 81247, 315, 110425, 650, 1216, 25, 362, 4366, 1094, 198, 37, 39724, 81247, 315, 110425, 650, 1216, 25, 362, 4366, 1094, 555, 469, 13, 445, 13, 7957, 7881, 12711, 374, 264, 67265, 315, 469, 1236, 13, 7957, 6, 76020, 81247, 315, 26769, 13, 1102, 574, 4756, 304, 1194, 323, 384, 34740, 47634, 555, 42592, 362, 13, 13934, 819, 304, 220, 679, 18, 13, 3959, 17890, 389, 1202, 2363, 27300, 439, 330, 4516, 34416, 11, 499, 3358, 7234, 89, 498, 279, 20303, 11775, 11, 902, 11263, 279, 21782, 315, 279, 4113, 76020, 81247, 315, 26769, 11, 10975, 279, 3446, 315, 279, 5133, 1990, 264, 6366, 3995, 5333, 11, 1556, 349, 85, 4657, 35606, 11, 323, 264, 2700, 398, 9145, 301, 13892, 73335, 11, 921, 2706, 15347, 382, 567, 89098, 198, 4599, 4821, 1412, 7926, 10195, 1556, 349, 85, 4657, 35606, 5900, 311, 7274, 921, 2706, 15347, 369, 279, 473, 4618, 75, 39693, 11, 1364, 35006, 264, 20333, 11, 514, 9211, 788, 6506, 315, 264, 9145, 301, 3339, 6136, 13, 46626, 11, 50254, 323, 312, 59952, 315, 305, 14782, 11, 568, 2103, 6439, 449, 813, 6691, 13, 1556, 349, 85, 4657, 14035, 11937, 77297, 6623, 15107, 311, 682, 315, 1521, 29600, 13, 763, 264, 4101, 315, 35006, 11, 921, 2706, 40019, 1556, 349, 85, 4657, 311, 15098, 19018, 7392, 12823, 11, 3629, 16239, 13653, 3691, 323, 13653, 25425, 13, 1283, 1101, 17501, 1077, 311, 1879, 264, 735, 39134, 68184, 82424, 43529, 704, 872, 20081, 7392, 30255, 13, 2468, 3115, 11, 568, 1446, 268, 3536, 1077, 449, 87163, 5849, 4731, 389, 813, 88099, 13, 1666, 279, 3021, 3446, 68711, 11, 433, 27115, 21667, 279, 8125, 369, 921, 2706, 15347, 596, 9358, 51978, 323, 18247, 29150, 7865, 382, 567, 77051, 198, 44594, 1705, 323, 60138, 304, 279, 549, 815, 2637, 7008, 323, 25355, 617, 9932, 279, 88990, 315, 279, 76020, 81247, 6603, 304, 264, 8965, 6928, 1648, 13, 76020, 81247, 315, 110425, 650, 1216, 25, 362, 4366, 1094, 574, 1101, 22628, 323, 1202, 3504, 1511, 389, 279, 37746, 7497, 3997, 596, 10401, 315, 76020, 81247, 315, 26769, 323, 1202, 1370, 10233, 13, 1556, 50565, 9922, 389, 279, 13653, 89489, 3997, 8117, 4744, 3074, 2726, 389, 5587, 220, 24, 11, 220, 679, 20, 627, 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 ]
[ 128000, 2, 13528, 318, 30594, 283, 198, 77489, 318, 30594, 283, 11, 1101, 3967, 439, 13528, 318, 20774, 408, 84, 11, 320, 7098, 69391, 25, 88041, 113690, 111116, 12942, 11, 34725, 25, 107326, 101626, 101055, 5372, 100609, 26, 9405, 3297, 220, 1544, 11, 220, 3753, 21, 8, 374, 459, 59609, 1122, 4846, 6721, 9141, 261, 889, 6476, 439, 264, 45067, 382, 567, 19758, 198, 39, 408, 283, 574, 9405, 304, 82299, 4918, 11, 81341, 311, 459, 59609, 1122, 7126, 323, 264, 52, 10056, 467, 1122, 6691, 13, 5414, 3070, 7882, 311, 19278, 994, 568, 574, 264, 1716, 11, 323, 30594, 283, 12439, 1070, 369, 220, 717, 1667, 1603, 7366, 1203, 311, 81341, 311, 1514, 369, 12438, 4072, 12371, 277, 627, 1548, 11096, 2326, 44, 4072, 15591, 613, 304, 220, 1049, 24, 382, 567, 7327, 7076, 198, 644, 220, 1049, 19, 11, 30594, 283, 574, 61246, 555, 19278, 520, 279, 9636, 12, 972, 2237, 11, 3339, 4848, 27351, 627, 644, 220, 1049, 24, 11, 568, 574, 2663, 709, 311, 279, 59609, 1122, 362, 6, 5426, 2128, 323, 6476, 304, 264, 11919, 2403, 12438, 41536, 67577, 382, 567, 16958, 2530, 198, 2078, 44, 4072, 15591, 613, 198, 12, 59609, 1122, 11098, 23055, 5352, 25, 220, 679, 16, 271, 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 ]
[ 128000, 2, 10640, 426, 396, 526, 198, 16683, 426, 396, 526, 320, 30700, 352, 25, 22450, 2234, 426, 396, 526, 8, 374, 264, 16700, 389, 279, 3973, 315, 279, 5415, 315, 735, 291, 1494, 323, 3700, 587, 304, 279, 426, 396, 526, 41114, 11, 28796, 11, 11951, 389, 279, 28181, 462, 2837, 1990, 279, 27536, 315, 85606, 318, 11, 426, 6260, 11, 32404, 332, 11, 7011, 526, 323, 24082, 3105, 323, 78492, 3700, 587, 13, 11699, 30048, 374, 220, 16, 11, 24071, 105275, 320, 21, 11, 7743, 4194, 728, 8, 3485, 9581, 2237, 13, 1102, 374, 279, 8592, 16700, 304, 279, 1614, 315, 735, 291, 1494, 627, 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 ]
[ 128000, 2, 48035, 689, 281, 440, 258, 51456, 285, 198, 38, 404, 689, 374, 264, 1647, 37941, 292, 98178, 64677, 315, 279, 3070, 469, 32575, 114405, 66906, 555, 7957, 13759, 819, 48069, 435, 675, 66, 7211, 304, 220, 7529, 21, 13, 11699, 1193, 9606, 11, 48035, 689, 281, 440, 258, 51456, 285, 11, 574, 1176, 7633, 555, 10058, 11355, 29103, 2957, 7826, 4506, 304, 220, 7028, 24, 13, 1102, 374, 1766, 505, 84625, 311, 37766, 198, 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 ]
[ 128000, 2, 735, 56761, 65, 359, 1443, 450, 16711, 198, 42, 56761, 65, 359, 1443, 450, 16711, 320, 106353, 102212, 115850, 17161, 11, 1443, 450, 16711, 735, 56761, 65, 359, 8, 320, 16381, 6250, 220, 17, 11, 220, 4468, 17, 8, 374, 264, 11002, 23655, 4632, 323, 12707, 7690, 382, 567, 21785, 271, 14711, 46564, 198, 12, 28033, 315, 22164, 72, 320, 1049, 23, 340, 12, 56379, 79912, 25, 35494, 315, 69188, 320, 679, 16, 340, 12, 56379, 79912, 25, 578, 27039, 45707, 4610, 25840, 320, 679, 17, 340, 12, 56379, 79912, 25, 9877, 28929, 304, 279, 423, 11451, 15379, 320, 679, 18, 340, 12, 56379, 79912, 25, 29023, 278, 76154, 320, 679, 19, 340, 12, 56379, 79912, 25, 8219, 89770, 315, 63758, 2201, 320, 679, 20, 340, 12, 56379, 79912, 25, 578, 15367, 40423, 75225, 320, 679, 21, 340, 12, 56379, 79912, 25, 67177, 10919, 27757, 320, 679, 22, 6758, 17, 933, 12, 88096, 25, 29935, 315, 279, 63808, 320, 679, 22, 340, 12, 88096, 25, 4409, 389, 279, 10564, 315, 16506, 320, 679, 23, 340, 12, 88096, 25, 578, 29935, 469, 977, 320, 679, 23, 340, 12, 3092, 50595, 5770, 25, 32255, 11, 55706, 320, 679, 23, 340, 12, 29073, 36478, 279, 14270, 25, 94494, 1901, 1441, 392, 56761, 912, 44188, 731, 220, 320, 2366, 15, 340, 12, 578, 43680, 320, 2366, 16, 340, 12, 79803, 258, 279, 21530, 6296, 13, 17810, 596, 28929, 320, 2366, 18, 6758, 18, 933, 12, 3092, 50595, 5770, 8105, 25, 33500, 11, 19558, 320, 2366, 20, 3707, 14711, 41445, 4101, 198, 12, 89118, 20666, 320, 679, 15, 26, 41857, 1234, 279, 51743, 7987, 735, 21257, 1899, 340, 12, 89118, 78160, 320, 679, 18, 26, 41857, 1234, 279, 51743, 7987, 735, 21257, 1899, 340, 12, 40676, 315, 34989, 21947, 320, 679, 19, 7435, 17217, 220, 16, 198, 12, 30242, 96587, 320, 679, 21, 3707, 14711, 75402, 2170, 198, 12, 16566, 56761, 47329, 72, 24952, 7675, 36675, 386, 56761, 16261, 2469, 84, 912, 50341, 2192, 320, 1049, 24, 11, 18243, 220, 16, 323, 220, 17, 696, 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 ]
[ 128000, 2, 48869, 329, 283, 7923, 454, 320, 60864, 4047, 11, 9405, 220, 6280, 20, 340, 44, 309, 329, 283, 7923, 454, 320, 16381, 220, 1627, 5587, 220, 6280, 20, 8, 374, 264, 4846, 5476, 797, 1604, 325, 19794, 2851, 449, 5871, 30500, 13287, 14014, 13, 7923, 454, 67235, 369, 5476, 62421, 520, 279, 220, 3753, 15, 19367, 33063, 11, 1405, 568, 16957, 220, 1682, 3585, 304, 220, 21, 3953, 627, 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 ]
[ 128000, 2, 480, 76535, 40593, 276, 363, 560, 198, 38, 76535, 40593, 276, 363, 560, 374, 264, 19624, 342, 76535, 320, 69949, 1413, 9474, 8, 304, 58751, 3817, 67592, 6406, 11, 328, 3742, 1122, 29179, 344, 2601, 2200, 11, 304, 18561, 28702, 13, 11699, 10954, 374, 279, 14458, 315, 40593, 276, 363, 560, 11, 902, 15812, 13489, 220, 21, 52957, 320, 19, 123744, 8, 11226, 315, 58751, 3817, 67592, 323, 220, 4331, 4194, 16400, 320, 1644, 123744, 8, 10411, 315, 279, 15481, 6864, 17816, 363, 560, 627, 791, 342, 76535, 14861, 459, 3158, 315, 220, 4643, 13, 6028, 9518, 52957, 320, 966, 13, 23, 4194, 29443, 123744, 705, 323, 439, 315, 220, 679, 24, 1202, 2860, 7187, 374, 220, 21, 11, 21910, 627, 791, 342, 76535, 5727, 961, 315, 279, 2682, 3158, 2663, 31714, 44172, 86, 26017, 20585, 82, 63641, 5657, 382, 567, 16959, 1154, 198, 38, 76535, 40593, 276, 363, 560, 5727, 279, 33889, 323, 45704, 315, 423, 2298, 72, 363, 560, 11, 5340, 20218, 4697, 83, 363, 560, 11, 34294, 1540, 3074, 11, 40593, 276, 363, 560, 11, 40593, 66, 560, 11, 445, 3845, 32563, 11, 58751, 1197, 648, 11, 507, 496, 12543, 11, 61071, 68, 4697, 6780, 11, 4593, 25471, 564, 323, 45290, 10784, 1923, 689, 382, 567, 4275, 47918, 287, 342, 1083, 300, 198, 38, 76535, 40593, 276, 363, 560, 374, 77317, 555, 279, 6424, 315, 58751, 3817, 67592, 323, 555, 279, 342, 1083, 300, 315, 356, 3557, 3458, 11, 6385, 1729, 11, 38208, 60705, 18595, 323, 61071, 263, 94557, 382, 567, 36047, 25861, 1389, 13219, 9919, 198, 38, 76535, 40593, 276, 363, 560, 374, 4483, 21203, 449, 512, 12, 5124, 3029, 657, 74, 55789, 268, 11, 10057, 271, 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 ]
[ 128000, 2, 20214, 315, 10170, 323, 35321, 11930, 320, 45606, 340, 791, 20214, 315, 10170, 323, 35321, 11930, 315, 279, 8690, 28331, 320, 48807, 25, 123117, 35111, 7753, 100875, 118655, 7740, 102586, 109437, 115812, 111574, 111112, 8, 374, 264, 25887, 9749, 304, 3297, 220, 679, 23, 439, 264, 1121, 315, 45473, 279, 20214, 315, 11930, 323, 10170, 11, 902, 25281, 505, 5587, 220, 1049, 19, 11, 1139, 1403, 8821, 13607, 13, 578, 2132, 25291, 22763, 9266, 374, 279, 20214, 315, 11930, 7170, 2663, 330, 1073, 3331, 11930, 1, 477, 330, 1073, 92931, 3343, 578, 20214, 315, 10170, 323, 35321, 11930, 374, 8647, 369, 264, 1614, 2585, 927, 279, 12624, 14673, 323, 279, 12374, 11852, 6873, 304, 279, 8690, 28331, 13, 97485, 11, 682, 94812, 315, 279, 8690, 16192, 315, 23199, 527, 1457, 1234, 29101, 315, 420, 20214, 13, 1102, 374, 81296, 304, 23223, 13, 92551, 62763, 88, 3178, 869, 574, 21489, 439, 279, 1176, 9675, 13, 8876, 6186, 220, 1691, 11, 220, 2366, 15, 11, 279, 20214, 374, 19946, 555, 4196, 727, 72564, 869, 627, 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 ]
[ 128000, 2, 578, 49793, 2418, 320, 14354, 24483, 11775, 340, 791, 49793, 2418, 374, 264, 11775, 555, 3778, 3229, 11824, 51196, 13, 578, 2363, 574, 15453, 4756, 555, 426, 519, 309, 18312, 389, 6250, 220, 16, 11, 220, 2550, 17, 13, 1102, 13713, 988, 279, 3446, 315, 264, 12374, 72235, 889, 706, 279, 5845, 311, 330, 87160, 1, 279, 11555, 315, 3885, 11, 459, 5845, 568, 13551, 449, 813, 23069, 7555, 627, 3947, 527, 12387, 22100, 304, 420, 11775, 902, 527, 17626, 304, 3010, 4375, 11, 1455, 35146, 264, 743, 315, 26018, 389, 279, 7138, 315, 323, 21063, 315, 8903, 320, 4151, 358, 747, 372, 570, 82671, 520, 3325, 832, 3752, 11, 650, 43761, 435, 53469, 11, 8111, 304, 51196, 6, 6931, 220, 3753, 23, 990, 11, 330, 53, 43761, 435, 53469, 2209, 66526, 323, 8489, 323, 19048, 304, 24830, 3343, 220, 578, 49793, 2418, 574, 39048, 369, 264, 445, 3466, 17768, 304, 220, 2550, 18, 627, 791, 11775, 5196, 374, 459, 14800, 315, 459, 6931, 2875, 3446, 11, 330, 36, 9891, 358, 67931, 2876, 26911, 304, 53718, 498, 430, 9922, 304, 813, 220, 2550, 15, 4526, 2394, 5184, 311, 54683, 57200, 13, 17674, 6848, 323, 5885, 4920, 1790, 315, 51196, 596, 17876, 4375, 649, 387, 1766, 304, 420, 4526, 382, 567, 27124, 12399, 198, 6153, 279, 4648, 315, 813, 7555, 480, 607, 11, 28217, 426, 62969, 11141, 813, 3766, 2324, 555, 20252, 813, 2162, 323, 53635, 323, 8126, 34552, 389, 264, 11879, 311, 1505, 9096, 505, 279, 330, 818, 2868, 48822, 901, 1, 315, 22706, 13, 17586, 813, 7555, 596, 9546, 426, 62969, 4250, 20858, 5678, 505, 279, 36021, 5845, 311, 1373, 20663, 323, 6865, 11555, 627, 33, 62969, 27573, 369, 99544, 323, 31398, 505, 1274, 11, 902, 568, 15453, 14035, 26, 4869, 11, 439, 279, 11775, 68711, 11, 568, 374, 15246, 311, 7859, 5990, 315, 3729, 449, 22706, 323, 78650, 11704, 315, 39270, 323, 16806, 17432, 627, 3246, 3950, 449, 426, 62969, 596, 3446, 374, 430, 315, 2500, 3752, 11, 4997, 1729, 11, 889, 8111, 311, 387, 13713, 1113, 323, 41365, 5304, 426, 62969, 323, 813, 7555, 596, 2324, 13, 4997, 1729, 374, 35906, 8552, 323, 12153, 311, 19570, 439, 568, 374, 47842, 11, 54321, 11, 323, 18507, 13, 2650, 568, 374, 3025, 311, 617, 1778, 71540, 449, 426, 62969, 374, 539, 36489, 3156, 7119, 279, 842, 315, 279, 11775, 627, 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 ]
[ 128000, 2, 18063, 3926, 3018, 198, 64463, 21605, 3926, 3018, 320, 33327, 220, 868, 11, 220, 7529, 23, 4194, 4235, 3297, 220, 24, 11, 220, 679, 16, 8, 315, 79431, 11, 23481, 11, 574, 459, 3778, 18247, 20370, 713, 263, 13, 220, 763, 279, 5209, 12, 6280, 15, 82, 11, 568, 574, 832, 315, 279, 1176, 6593, 16410, 311, 60826, 1296, 3508, 3428, 15825, 6784, 1436, 387, 51512, 449, 28817, 4269, 65246, 315, 17055, 66, 371, 285, 606, 13, 11450, 11, 35944, 40076, 3041, 1778, 65246, 1603, 22541, 287, 311, 810, 53354, 15173, 13, 1283, 574, 264, 6652, 11, 423, 732, 13, 50112, 46098, 369, 810, 1109, 3116, 11026, 6832, 6978, 5343, 67447, 61628, 382, 567, 23591, 2324, 323, 20587, 198, 6251, 3018, 574, 9405, 389, 6186, 220, 868, 11, 220, 7529, 23, 11, 304, 1561, 4356, 4409, 382, 567, 11930, 198, 6251, 3018, 33109, 505, 22319, 3907, 11, 323, 505, 279, 22319, 3907, 6150, 315, 19152, 627, 16366, 30299, 16771, 292, 15173, 60859, 574, 304, 578, 25919, 5248, 45340, 15429, 304, 6652, 11, 423, 732, 13, 902, 3010, 6244, 11, 279, 1457, 711, 20526, 11, 11182, 315, 19326, 3331, 15429, 382, 567, 41576, 198, 6251, 3018, 574, 459, 991, 261, 36891, 14561, 520, 10058, 6652, 3907, 13235, 6150, 382, 567, 16290, 198, 6251, 3018, 8636, 389, 3297, 220, 24, 11, 220, 679, 16, 11, 315, 44385, 535, 4851, 8060, 520, 279, 4325, 315, 220, 6365, 627, 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 ]
[ 128000, 2, 8375, 35685, 315, 77050, 198, 17691, 35685, 320, 19171, 3967, 439, 328, 989, 69, 11, 1369, 3532, 276, 8, 574, 264, 3389, 220, 20, 339, 9478, 22036, 819, 364, 11710, 3334, 42826, 518, 11000, 264, 6342, 315, 77050, 13, 5414, 53268, 1938, 5097, 2035, 389, 279, 220, 972, 6664, 13, 1283, 574, 279, 7126, 315, 279, 22036, 819, 54306, 14539, 18221, 8385, 382, 567, 96821, 198, 11439, 311, 21252, 483, 426, 3329, 12279, 619, 11, 8375, 35685, 574, 279, 4538, 315, 20524, 1673, 671, 9939, 7006, 11, 19912, 315, 65082, 6414, 689, 13, 1115, 34008, 449, 279, 13789, 54637, 379, 14539, 11, 264, 46881, 15207, 32051, 950, 42929, 45293, 279, 1584, 1154, 315, 279, 4216, 8013, 68220, 13, 8375, 35685, 12502, 95884, 18728, 331, 356, 1910, 11160, 11, 279, 10003, 315, 356, 1910, 11160, 24703, 13885, 60326, 540, 889, 1047, 23183, 520, 14751, 261, 12279, 5059, 3221, 800, 6941, 596, 304, 393, 50010, 74, 90345, 13, 95884, 18728, 331, 356, 1910, 11160, 574, 279, 13219, 315, 14539, 11842, 627, 11439, 311, 279, 9601, 315, 800, 18221, 8385, 11, 1369, 3532, 276, 11, 320, 64, 19803, 4690, 292, 1376, 315, 50899, 8, 574, 264, 22036, 819, 1543, 323, 279, 7126, 315, 18221, 8385, 13, 8375, 35685, 374, 7633, 439, 264, 42826, 1725, 58698, 68, 520, 264, 5590, 1990, 279, 11188, 350, 15924, 323, 279, 11188, 21820, 1964, 11, 11000, 480, 21148, 38022, 13, 46881, 44068, 28686, 43982, 13737, 85, 598, 33398, 420, 2316, 439, 364, 44303, 467, 315, 279, 7771, 518, 1418, 3885, 4510, 568, 574, 264, 1207, 12, 10789, 315, 77050, 13, 6941, 28512, 14337, 13533, 430, 568, 26399, 311, 279, 22651, 315, 813, 36271, 11, 6342, 4488, 627, 43, 598, 278, 2353, 374, 264, 16665, 315, 8375, 35685, 13, 426, 3329, 12279, 619, 34945, 264, 27823, 1664, 315, 813, 13219, 3502, 31412, 11, 11842, 11, 323, 264, 8993, 315, 813, 4538, 11, 18221, 8385, 11, 304, 279, 3158, 1990, 16870, 18615, 323, 2895, 1141, 801, 627, 17691, 35685, 374, 11054, 449, 1369, 3532, 276, 11, 315, 800, 2009, 16023, 304, 77050, 323, 13597, 1677, 389, 37337, 8674, 13, 1952, 279, 44106, 520, 800, 2009, 16023, 374, 800, 2009, 16023, 596, 8489, 323, 3770, 433, 279, 35977, 8625, 315, 813, 83249, 11, 902, 1051, 7633, 555, 12656, 23768, 75, 521, 304, 813, 6898, 5118, 1385, 13, 578, 330, 40141, 355, 9998, 1, 520, 800, 4702, 304, 13597, 4291, 60347, 9441, 374, 3463, 311, 8464, 311, 8375, 35685, 13, 578, 9764, 315, 14539, 4702, 374, 539, 3967, 13, 22395, 279, 24525, 9932, 374, 279, 46881, 1077, 1800, 11, 14539, 358, 478, 1910, 11, 1071, 311, 387, 264, 4538, 315, 20524, 1673, 671, 9939, 7006, 627, 644, 279, 9476, 315, 8613, 41216, 276, 304, 89254, 527, 3116, 7634, 8599, 311, 264, 14539, 8375, 7053, 13, 426, 3329, 12279, 619, 13533, 420, 374, 264, 2132, 11, 8821, 3927, 382, 567, 48132, 198, 12, 423, 51093, 11, 480, 13, 473, 13, 320, 5162, 19, 570, 578, 33319, 315, 77050, 11, 961, 220, 18, 13, 1183, 2868, 25, 25028, 323, 15957, 26, 12086, 13, 4194, 6550, 4235, 9413, 198, 12, 43982, 13737, 85, 598, 11, 362, 13, 468, 13, 320, 291, 6266, 320, 6393, 19, 570, 29560, 6043, 5960, 5009, 372, 98520, 73078, 1880, 24983, 32051, 73078, 13, 61692, 25, 3907, 315, 23782, 8612, 8925, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 18989, 43014, 6515, 20718, 198, 56635, 43014, 6515, 20718, 66415, 3757, 300, 320, 16381, 220, 717, 5936, 220, 4468, 23, 304, 445, 68070, 4890, 6388, 1169, 8, 374, 264, 15506, 81131, 889, 706, 15609, 18157, 520, 279, 220, 1049, 23, 323, 220, 679, 17, 19367, 4366, 5893, 1331, 1233, 304, 2225, 5754, 323, 3839, 4455, 13, 3005, 1101, 67235, 520, 279, 220, 679, 18, 4435, 48854, 382, 567, 19758, 198, 11916, 20718, 574, 9405, 304, 445, 68070, 4890, 6388, 1169, 11, 81944, 6424, 315, 18157, 11, 3221, 28035, 3363, 13, 3005, 706, 264, 8547, 304, 18112, 323, 4375, 304, 279, 2115, 439, 264, 11156, 11726, 627, 1966, 220, 16, 6287, 220, 1049, 19, 11, 6515, 20718, 574, 220, 1627, 1667, 2362, 11, 1364, 1047, 264, 5103, 10020, 1097, 13623, 1077, 2163, 2531, 2768, 459, 11677, 304, 902, 459, 39773, 18302, 2106, 1139, 1077, 35404, 13, 763, 220, 679, 16, 11, 1364, 574, 832, 315, 3892, 1274, 15109, 304, 264, 25999, 25891, 5034, 2722, 269, 7583, 1624, 27612, 37478, 17434, 6832, 9886, 574, 30638, 555, 279, 13492, 5840, 41333, 23565, 478, 323, 902, 574, 30026, 555, 279, 15506, 4366, 5893, 1331, 292, 10554, 382, 567, 61070, 198, 11916, 20718, 374, 264, 356, 17, 21771, 81131, 11, 323, 25492, 1418, 3515, 1193, 832, 2531, 13, 256, 32499, 311, 1077, 11677, 11, 6515, 20718, 23781, 4024, 311, 279, 19343, 323, 16572, 449, 1077, 10868, 11, 323, 1101, 41761, 16700, 31553, 505, 892, 311, 892, 13, 220, 362, 1060, 323, 264, 4376, 1306, 1077, 11677, 11, 1364, 2751, 389, 1077, 36086, 323, 5246, 1306, 11, 1364, 4024, 311, 31298, 22980, 67, 442, 294, 68070, 89639, 1405, 1364, 2322, 264, 1396, 315, 1274, 889, 21190, 1077, 304, 279, 10775, 11, 2737, 1077, 42835, 7395, 11, 14502, 266, 79275, 627, 11916, 20718, 67235, 520, 279, 220, 1049, 23, 19367, 4366, 5893, 1331, 1233, 304, 2225, 279, 3839, 323, 5754, 4455, 627, 13129, 950, 4967, 304, 279, 3063, 709, 311, 279, 7295, 4366, 5893, 1331, 1233, 79101, 389, 279, 3280, 13, 220, 12220, 279, 12688, 11, 6515, 20718, 1550, 1403, 832, 21925, 16079, 264, 2046, 315, 24269, 304, 279, 6693, 13, 220, 763, 279, 13658, 11, 1364, 1053, 5542, 3892, 4207, 3060, 3815, 14661, 477, 4967, 389, 279, 9231, 347, 6786, 3156, 922, 220, 24, 25, 410, 9012, 13, 5871, 279, 3953, 2751, 12401, 11, 1364, 1550, 2380, 6596, 6693, 16079, 4967, 389, 279, 5754, 11, 323, 1243, 1053, 656, 2380, 6596, 16079, 304, 279, 13658, 389, 279, 3839, 13, 763, 1990, 4967, 16079, 11, 1364, 1053, 733, 1139, 990, 13, 3005, 15337, 369, 279, 7295, 4366, 5893, 1331, 1233, 1306, 28744, 264, 6857, 315, 6761, 60082, 520, 264, 4435, 11098, 1567, 304, 17652, 869, 689, 13, 3005, 67235, 520, 279, 220, 679, 17, 19367, 4366, 5893, 1331, 1233, 13, 220, 3005, 574, 832, 315, 3116, 28650, 520, 279, 220, 679, 17, 11871, 505, 445, 68070, 4890, 6388, 1169, 13, 220, 763, 279, 220, 2166, 12934, 321, 4512, 265, 24725, 320, 966, 123744, 8, 5754, 7102, 11, 1364, 8220, 18172, 449, 264, 892, 315, 220, 16, 25, 2137, 13, 3971, 13, 220, 3005, 1101, 67235, 304, 4455, 5762, 520, 279, 9231, 347, 6786, 11, 25270, 31487, 304, 832, 315, 279, 33586, 4455, 13, 5659, 279, 81944, 5654, 315, 18157, 11, 1364, 574, 264, 22458, 315, 264, 220, 679, 17, 9878, 9827, 3143, 34225, 13, 220, 3005, 5675, 1077, 34225, 2768, 279, 7295, 11871, 11, 323, 1047, 311, 4018, 1203, 389, 4967, 1606, 1364, 4460, 311, 990, 13, 14659, 648, 7813, 638, 2933, 11, 35195, 11, 7008, 21685, 279, 220, 679, 18, 23850, 1824, 16404, 4435, 48854, 11, 323, 1364, 67235, 304, 1124, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 25681, 37246, 49538, 198, 23958, 37246, 49538, 374, 279, 26084, 14356, 8176, 555, 3778, 23597, 77740, 18688, 64495, 1611, 38, 1059, 13, 1102, 574, 6004, 389, 6250, 220, 24, 11, 220, 679, 21, 555, 99431, 22293, 13, 1115, 8176, 19169, 2212, 95609, 6743, 323, 23871, 13, 1102, 596, 279, 1828, 10474, 304, 813, 2324, 323, 568, 596, 682, 922, 330, 69, 87595, 389, 279, 1695, 2574, 1210, 25681, 37246, 49538, 374, 279, 2132, 8176, 1611, 38, 1059, 706, 9124, 449, 1023, 5609, 62712, 4856, 1109, 4477, 279, 4553, 8176, 5678, 13, 1115, 8176, 4519, 990, 505, 30534, 22010, 11, 18984, 16233, 17007, 11, 81796, 468, 14795, 7881, 11, 16645, 36532, 292, 11, 20851, 37053, 7211, 11, 89907, 3341, 49363, 11, 3842, 1443, 4129, 11, 323, 64495, 1611, 38, 1059, 627, 23958, 37246, 49538, 41424, 1690, 36744, 323, 10578, 315, 4731, 13, 1611, 38, 1059, 41424, 2477, 11, 13836, 11, 42045, 11, 69392, 11, 323, 364, 1399, 82, 4731, 3339, 420, 8176, 2204, 1109, 279, 6305, 315, 813, 3347, 382, 567, 25837, 323, 20343, 198, 1966, 5887, 220, 868, 11, 220, 679, 21, 11, 1611, 38, 1059, 7376, 430, 25681, 37246, 49538, 574, 389, 1202, 1648, 323, 389, 6250, 220, 24, 315, 279, 1890, 1060, 11, 568, 12886, 13, 64495, 14264, 709, 304, 1561, 4356, 323, 9124, 813, 1176, 8176, 304, 220, 1049, 18, 7086, 921, 2850, 354, 323, 16038, 505, 813, 502, 4984, 11, 706, 12715, 2380, 1023, 14356, 28785, 3235, 449, 264, 12474, 13280, 4526, 682, 1418, 10671, 264, 61403, 836, 13, 9086, 1063, 315, 813, 3766, 4731, 11, 420, 502, 8176, 706, 264, 6380, 11, 3091, 727, 5222, 449, 1690, 2204, 296, 9242, 15609, 430, 1180, 439, 264, 36899, 15411, 5352, 311, 279, 7474, 315, 220, 679, 21, 627, 1951, 38, 1059, 6137, 3318, 389, 25681, 37246, 49538, 1314, 1306, 813, 8176, 4984, 7557, 264, 14903, 304, 6664, 220, 679, 18, 13, 763, 220, 679, 19, 11, 568, 6004, 1403, 502, 17845, 3573, 2675, 25545, 2206, 1, 323, 330, 17111, 909, 8272, 555, 264, 12474, 13280, 8176, 430, 4498, 13, 57194, 505, 48551, 11, 1611, 38, 1059, 574, 5128, 1790, 704, 315, 279, 586, 8071, 304, 220, 679, 20, 11, 9564, 1690, 311, 5895, 422, 420, 574, 279, 892, 994, 568, 1550, 1455, 315, 279, 4477, 369, 813, 502, 8176, 627, 3976, 264, 7427, 11450, 7274, 922, 279, 220, 679, 21, 8176, 4984, 11, 1611, 38, 1059, 1071, 568, 5992, 311, 4731, 24699, 2737, 578, 55957, 11, 6941, 68347, 323, 19912, 1418, 4477, 13, 330, 40, 16025, 9017, 11670, 6392, 369, 20343, 11, 323, 1884, 34453, 2216, 9167, 956, 5614, 13, 578, 6305, 430, 617, 14980, 279, 1296, 315, 892, 13967, 617, 279, 14293, 430, 9352, 304, 1475, 5609, 26372, 9979, 10246, 48412, 2265, 750, 11, 25681, 37246, 49538, 5084, 311, 387, 14948, 555, 264, 3828, 320, 68, 1325, 5886, 555, 11936, 1093, 330, 42, 635, 9086, 11617, 498, 330, 2675, 7557, 3092, 18449, 11070, 9928, 1126, 498, 323, 330, 43346, 10919, 449, 279, 13792, 1952, 1865, 3277, 459, 87935, 505, 48797, 11378, 304, 1561, 4356, 4691, 64495, 1268, 2324, 574, 2133, 1306, 58134, 398, 15182, 3839, 5144, 505, 279, 8176, 11, 1611, 38, 1059, 19089, 330, 40, 1440, 1063, 1274, 11, 814, 1093, 311, 1304, 4731, 430, 374, 26549, 11124, 13, 4427, 1274, 1093, 311, 1304, 6392, 430, 10578, 264, 2697, 2766, 810, 19738, 13, 358, 1093, 5128, 4731, 11, 323, 358, 1093, 4731, 430, 3727, 1274, 2733, 97547, 291, 323, 62935, 13, 358, 1781, 430, 1274, 1205, 311, 2733, 62935, 323, 320, 31153, 8, 3727, 1274, 2733, 62935, 13, 2100, 369, 279, 1455, 961, 11, 430, 596, 279, 955, 315, 3245, 358, 4774, 4477, 922, 13, 358, 4774, 4477, 922, 2555, 430, 3727, 1274, 2733, 1093, 2574, 527, 2133, 872, 1648, 4856, 1109, 1694, 304, 872, 1648, 1210, 71994, 2915, 11, 1611, 38, 1059, 374, 3967, 369, 1694, 10508, 2922, 6586, 922, 813, 12135, 477, 813, 3674, 2324, 304, 586, 13, 1472, 1541, 956, 6865, 1461, 6604, 922, 1790, 1023, 1109, 813, 4731, 13, 2100, 1524, 422, 1070, 574, 264, 3828, 889, 14948, 420, 8176, 11, 433, 1053, 387, 5107, 311, 1440, 13, 2684, 374, 264, 3839, 389, 279, 8176, 2663, 330, 28192, 1604, 68, 1, 922, 264, 23347, 3828, 6832, 330, 58331, 527, 10107, 439, 523, 38221, 4918, 1, 323, 330, 23196, 1124, 16054, 505, 279, 15485, 76551, 1534, 323, 88968, 1, 719, 1070, 706, 1027, 912, 4320, 439, 311, 889, 9489, 1604, 68, 374, 13, 5046, 682, 279, 35492, 922, 1611, 38, 1059, 596, 24364, 2324, 11, 7000, 617, 1027, 11007, 555, 1461, 927, 279, 1667, 627, 644, 459, 7855, 12607, 389, 62199, 11, 1611, 38, 1059, 21881, 922, 279, 39676, 430, 13980, 994, 499, 3350, 701, 1866, 4731, 439, 459, 10255, 13, 330, 40, 1781, 2555, 7185, 8741, 994, 499, 2351, 264, 85757, 323, 994, 499, 2351, 459, 10255, 439, 264, 85757, 13, 1102, 596, 430, 7170, 994, 499, 2351, 4477, 11, 499, 1253, 1120, 1390, 311, 3350, 2555, 44682, 1120, 1606, 499, 1781, 433, 596, 7155, 323, 499, 1093, 279, 1648, 433, 10578, 13, 2100, 11, 304, 1063, 5627, 320, 300, 459, 10255, 705, 7170, 499, 2733, 1093, 499, 527, 20747, 5977, 6261, 11, 320, 1729, 8, 539, 24919, 2555, 2307, 44682, 1120, 1606, 433, 596, 7155, 13, 1472, 1253, 733, 364, 2319, 11, 1664, 439, 459, 10255, 499, 2351, 2133, 311, 387, 5762, 17354, 36977, 369, 8996, 1521, 4339, 527, 11, 8996, 13356, 420, 374, 11, 8996, 420, 5222, 374, 3238, 61695, 11, 682, 499, 2351, 7422, 922, 439, 264, 7061, 374, 430, 499, 1390, 311, 1456, 2555, 7155, 704, 10246, 71088, 505, 1611, 38, 1059, 596, 1866, 4443, 20343, 11, 902, 5084, 1193, 311, 387, 60257, 449, 502, 10578, 323, 12967, 6928, 4731, 311, 279, 1917, 11, 1070, 1051, 1690, 1080, 2695, 32929, 369, 25681, 37246, 49538, 13, 8442, 1403, 315, 279, 5899, 14242, 389, 279, 8176, 527, 21742, 30706, 311, 1611, 38, 1059, 11, 323, 568, 21881, 3629, 922, 73301, 449, 279, 1023, 16483, 323, 24190, 304, 279, 2835, 315, 279, 48797, 4101, 7274, 13, 763, 279, 1890, 2835, 11, 994, 4691, 902, 3839, 374, 813, 8945, 11, 568, 2795, 568, 649, 956, 3820, 264, 7075, 719, 279, 832, 568, 4762, 6575, 279, 37554, 389, 311, 636, 433, 1120, 1314, 574, 330, 2675, 7557, 3092, 18449, 11070, 9928, 1126, 1, 449, 66893, 36521, 13, 1283, 1101, 8554, 430, 304, 279, 14356, 11, 66893, 323, 64495, 13517, 90234, 279, 3839, 330, 5159, 8489, 323, 9935, 3343, 1102, 596, 813, 6691, 596, 7075, 3839, 505, 279, 8176, 382, 567, 57204, 198, 791, 1176, 3254, 369, 25681, 37246, 49538, 574, 330, 8100, 12808, 279, 4409, 389, 6785, 498, 6004, 389, 5887, 220, 868, 11, 220, 679, 21, 11, 902, 4036, 264, 12435, 4731, 2835, 389, 6287, 220, 2148, 11, 220, 679, 21, 11, 11888, 2919, 1603, 279, 8176, 5196, 574, 6004, 13, 1102, 11887, 389, 1611, 38, 1059, 596, 4033, 61988, 11417, 13674, 5613, 11, 19257, 4535, 555, 264, 69435, 2835, 430, 3782, 704, 264, 2305, 4972, 13, 578, 4731, 2835, 11, 15910, 555, 15469, 123203, 11, 9958, 1611, 38, 1059, 323, 2307, 2590, 33467, 650, 75179, 382, 567, 35761, 23991, 198, 23958, 37246, 49538, 706, 1027, 2663, 810, 330, 455, 23019, 323, 90712, 398, 1, 1109, 1611, 38, 1059, 596, 3347, 990, 13, 1611, 38, 1059, 3309, 7427, 11450, 430, 568, 4934, 311, 1304, 2555, 330, 1225, 6617, 1, 1405, 568, 36131, 1690, 2204, 36744, 430, 9167, 956, 1027, 15109, 389, 3347, 28785, 382, 567, 14986, 198, 644, 3297, 220, 679, 21, 11, 64495, 1611, 38, 1059, 7376, 813, 14827, 4892, 3778, 7364, 1405, 568, 1053, 387, 16785, 449, 25871, 29937, 1195, 1555, 4216, 6841, 220, 679, 21, 13, 578, 7364, 28219, 1022, 3221, 64495, 1611, 38, 1059, 596, 44116, 304, 29103, 301, 11, 1561, 4356, 11, 389, 6287, 220, 1591, 11, 220, 679, 21, 323, 9670, 6841, 220, 24, 11, 220, 679, 21, 304, 99657, 432, 24444, 11, 9784, 13, 36715, 4024, 389, 6412, 3297, 220, 508, 11, 220, 679, 21, 323, 864, 58637, 14741, 4024, 389, 6412, 3297, 220, 1114, 520, 220, 605, 4194, 309, 2254, 892, 13, 578, 1501, 13847, 369, 6841, 220, 22, 11, 220, 679, 21, 574, 3010, 34546, 4245, 311, 17563, 13, 46982, 420, 7364, 64495, 1611, 38, 1059, 6222, 10688, 315, 4731, 568, 1047, 1027, 3318, 389, 323, 1053, 3010, 2997, 389, 25681, 37246, 49538, 382, 567, 20371, 15182, 198, 91, 2360, 13, 765, 11106, 6096, 765, 30504, 1161, 8, 3425, 765, 44459, 1161, 8, 220, 765, 17736, 9432, 91, 12730, 765, 14730, 39745, 765, 18527, 381, 765, 33658, 765, 56560, 9432, 91, 220, 16, 13, 220, 765, 330, 8100, 12808, 279, 4409, 389, 6785, 1, 257, 765, 64495, 1611, 38, 1059, 81796, 468, 14795, 7881, 30534, 22010, 18984, 16233, 17007, 765, 468, 14795, 7881, 256, 765, 220, 18, 25, 1987, 256, 9432, 91, 220, 17, 13, 220, 765, 330, 2675, 7557, 3092, 18449, 11070, 9928, 1126, 1, 765, 1611, 38, 1059, 16645, 36532, 292, 792, 765, 66893, 36521, 256, 765, 220, 18, 25, 4370, 256, 9432, 91, 220, 18, 13, 220, 765, 330, 42, 635, 9086, 11617, 1, 394, 765, 1611, 38, 1059, 20851, 37053, 7211, 6794, 765, 37053, 7211, 415, 765, 220, 18, 25, 508, 256, 9432, 91, 220, 19, 13, 220, 765, 330, 43346, 10919, 449, 279, 13792, 1952, 1, 765, 1611, 38, 1059, 17712, 765, 2030, 331, 23074, 765, 220, 19, 25, 2545, 256, 9432, 91, 220, 20, 13, 220, 765, 330, 28005, 261, 311, 59121, 1, 1835, 765, 1611, 38, 1059, 89907, 22770, 31031, 1408, 765, 22770, 31031, 257, 765, 220, 19, 25, 2371, 256, 9432, 91, 220, 21, 13, 220, 765, 330, 46864, 358, 3383, 1, 2611, 765, 1611, 38, 1059, 3842, 1443, 4129, 9898, 765, 1443, 4129, 996, 765, 220, 18, 25, 868, 256, 9432, 91, 220, 22, 13, 220, 765, 330, 4438, 49667, 3053, 264, 2418, 2175, 1, 996, 765, 1611, 38, 1059, 1443, 4129, 2623, 765, 1443, 4129, 996, 765, 220, 18, 25, 4331, 256, 9432, 91, 220, 23, 13, 220, 765, 330, 3648, 10919, 1, 2611, 765, 1611, 38, 1059, 22770, 31031, 8497, 765, 22770, 31031, 257, 765, 220, 18, 25, 1627, 256, 9432, 91, 220, 24, 13, 220, 765, 330, 28192, 1604, 68, 1, 5291, 765, 1611, 38, 1059, 37053, 7211, 11317, 765, 37053, 7211, 415, 765, 220, 18, 25, 2705, 256, 9432, 91, 220, 605, 13, 765, 330, 23958, 37246, 49538, 1, 286, 765, 1611, 38, 1059, 17712, 765, 23074, 996, 765, 220, 18, 25, 1987, 256, 36821, 91, 2360, 13, 765, 11106, 260, 765, 30504, 1161, 8, 394, 765, 44459, 1161, 8, 257, 765, 17736, 9432, 91, 12730, 765, 97903, 765, 14730, 515, 765, 33658, 4521, 765, 56560, 9432, 91, 220, 806, 13, 765, 330, 13359, 1472, 1, 256, 765, 3586, 765, 29335, 32446, 65320, 765, 220, 18, 25, 3174, 256, 9432, 91, 220, 717, 13, 765, 330, 29356, 74909, 1, 765, 32446, 65320, 26044, 31164, 765, 338, 765, 220, 18, 25, 975, 256, 765, 1432, 567, 67376, 198, 91, 21964, 320, 679, 21, 8, 5291, 765, 44262, 2361, 9432, 91, 20308, 313, 765, 97903, 9432, 91, 49162, 87823, 320, 52, 68475, 266, 454, 435, 86067, 8, 765, 220, 2031, 310, 9432, 91, 49162, 87823, 320, 52, 68475, 266, 454, 9935, 21947, 8, 765, 220, 8953, 1881, 9432, 91, 12152, 87823, 320, 28576, 2541, 8, 286, 765, 220, 1041, 1881, 9432, 91, 24113, 87823, 320, 33478, 7054, 220, 1041, 8, 996, 765, 220, 3971, 310, 9432, 91, 27188, 87823, 320, 46, 3791, 8, 1078, 765, 220, 5313, 310, 9432, 91, 31209, 87823, 320, 50, 424, 343, 295, 454, 501, 9121, 8, 765, 220, 4103, 310, 9432, 91, 30791, 87823, 320, 31224, 906, 3213, 16261, 1768, 1037, 8, 765, 220, 5332, 310, 9432, 91, 2326, 67293, 220, 1049, 4391, 765, 220, 1758, 310, 36821, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 3723, 19687, 8398, 9251, 38216, 220, 14378, 198, 23175, 19687, 8398, 9251, 38216, 220, 14378, 574, 18306, 555, 279, 3723, 19687, 8398, 9251, 389, 6790, 220, 17, 11, 220, 5162, 21, 1306, 264, 8036, 6574, 311, 3373, 279, 12667, 59082, 13, 220, 578, 9251, 11, 330, 64589, 315, 279, 17033, 29600, 315, 1579, 5647, 315, 14523, 315, 549, 666, 519, 11, 323, 35090, 430, 813, 312, 52201, 1053, 387, 1455, 6929, 535, 311, 279, 8294, 12034, 323, 10096, 315, 279, 21021, 498, 11349, 813, 18101, 369, 2500, 4751, 439, 12667, 59082, 627, 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 ]
[ 128000, 2, 17723, 1073, 1395, 1900, 315, 650, 56479, 198, 49078, 1073, 1395, 1900, 315, 650, 56479, 374, 264, 220, 5926, 24, 3778, 21737, 11104, 4632, 15910, 555, 18063, 7553, 49, 6043, 323, 5439, 555, 10058, 473, 13, 54270, 76, 19271, 13, 578, 4632, 9958, 42907, 279, 27205, 34392, 11, 7762, 86848, 258, 11, 43881, 39274, 11, 1708, 38476, 11, 7834, 4238, 279, 34392, 323, 2947, 22575, 279, 34392, 13, 578, 4632, 574, 6004, 389, 5651, 220, 19, 11, 220, 5926, 24, 11, 555, 26581, 29485, 382, 567, 11514, 198, 12, 42907, 279, 27205, 34392, 439, 42907, 279, 27205, 34392, 198, 12, 7762, 86848, 258, 439, 56760, 13, 7762, 26952, 198, 12, 43881, 39274, 439, 10455, 11826, 198, 12, 1708, 38476, 439, 11462, 3263, 276, 198, 12, 7834, 4238, 279, 34392, 439, 7834, 4238, 198, 12, 2947, 22575, 279, 34392, 439, 2947, 22575, 271, 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 ]
[ 128000, 2, 23458, 710, 1229, 605, 198, 791, 23458, 710, 1229, 605, 374, 264, 43200, 830, 5863, 5594, 7756, 7528, 18327, 1752, 91229, 18848, 6382, 7376, 555, 23458, 710, 389, 6250, 220, 605, 11, 220, 679, 17, 13, 1102, 706, 9099, 18637, 927, 279, 1646, 433, 12860, 22416, 4113, 364, 48, 24482, 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 ]
[ 128000, 2, 6383, 89, 511, 14946, 4526, 198, 791, 6383, 89, 511, 14946, 4526, 477, 279, 480, 14283, 689, 6383, 89, 511, 14946, 482, 990, 304, 19225, 19354, 374, 264, 4526, 315, 927, 71049, 220, 508, 339, 34457, 15155, 36692, 14454, 555, 279, 29349, 15754, 93103, 6383, 89, 511, 14946, 505, 220, 6393, 24, 311, 220, 6280, 15, 13, 220, 1102, 5727, 1193, 36692, 315, 220, 1954, 555, 220, 2031, 4194, 6358, 323, 1193, 389, 279, 22100, 315, 990, 323, 659, 42557, 969, 9464, 13, 9062, 19354, 374, 13160, 330, 53, 612, 423, 498, 279, 6383, 89, 511, 14946, 6883, 13, 1102, 1457, 7739, 961, 315, 279, 17929, 582, 65490, 18969, 3074, 1891, 1789, 75, 24439, 382, 567, 53204, 323, 4375, 198, 12, 94700, 11, 18165, 351, 24235, 384, 6382, 2709, 54635, 198, 12, 50873, 7992, 29627, 14559, 452, 1113, 84, 14210, 11, 445, 6, 6802, 36110, 4428, 198, 12, 83183, 29627, 95894, 11, 2009, 296, 3978, 275, 2265, 72, 198, 12, 31447, 78, 31782, 309, 6729, 11, 40079, 376, 560, 1891, 43124, 383, 198, 12, 549, 3427, 14502, 300, 86310, 11, 650, 526, 51737, 198, 12, 14094, 4428, 12371, 1119, 72, 11, 7695, 2700, 78, 1891, 452, 15844, 198, 12, 49971, 385, 426, 14310, 35703, 11, 5034, 23935, 68636, 198, 12, 66486, 65582, 2423, 11, 2314, 3746, 266, 2265, 72, 198, 12, 90734, 23768, 969, 11, 13620, 3326, 72, 1891, 66485, 198, 12, 76952, 3320, 1149, 4575, 822, 11, 393, 3380, 51737, 1891, 81629, 198, 12, 63742, 606, 11681, 634, 78, 11, 7695, 12088, 370, 1617, 3394, 198, 12, 1556, 9697, 6489, 426, 53469, 11, 7695, 37194, 68, 26858, 16197, 2868, 198, 12, 12433, 78, 356, 5477, 258, 11, 21823, 13915, 1891, 293, 1132, 68, 198, 12, 4563, 77927, 356, 80156, 11, 7695, 348, 15790, 822, 198, 12, 9346, 11620, 9702, 77261, 11, 445, 6, 1132, 22288, 525, 198, 12, 423, 6431, 4042, 42931, 45109, 11, 356, 1791, 22288, 560, 198, 12, 15754, 93103, 8171, 540, 2177, 72, 11, 445, 3372, 78, 198, 12, 27246, 560, 10852, 3458, 11, 6621, 1156, 495, 461, 198, 12, 31447, 78, 3341, 2554, 11, 19074, 1624, 281, 1468, 461, 198, 12, 58870, 30474, 6496, 11, 3623, 496, 332, 11222, 72, 198, 12, 27246, 560, 11301, 269, 9491, 11, 2418, 72, 11, 7500, 97472, 11, 1296, 64, 9522, 12, 52210, 26520, 258, 2850, 11, 393, 3380, 51737, 1624, 2700, 78, 1891, 95951, 288, 198, 12, 2394, 11620, 2140, 72, 11, 15754, 569, 6729, 486, 198, 12, 23245, 11095, 64, 11, 358, 46155, 51737, 1624, 55318, 198, 12, 15754, 1813, 822, 409, 921, 404, 4042, 11, 1789, 55901, 1891, 38506, 69377, 198, 12, 432, 2715, 6043, 273, 1611, 2895, 2649, 11, 9346, 64, 648, 453, 66485, 198, 12, 11246, 359, 4428, 1611, 716, 78, 11, 350, 1540, 822, 384, 70866, 822, 198, 12, 16807, 88453, 1611, 393, 9667, 11, 26987, 59348, 9765, 15222, 198, 12, 89699, 1611, 91926, 14946, 11, 14582, 2259, 1891, 9036, 402, 2473, 198, 12, 23245, 53483, 6151, 11, 3341, 4042, 1891, 15550, 483, 198, 12, 62463, 548, 2939, 266, 3394, 11, 5034, 3577, 64, 887, 969, 360, 3074, 198, 12, 46665, 4618, 435, 16080, 11, 6621, 1156, 495, 461, 198, 12, 426, 752, 72, 480, 7616, 10462, 11, 2052, 19704, 1891, 281, 1468, 5808, 198, 12, 14103, 13389, 21523, 1768, 72, 11, 8930, 1169, 2629, 689, 1891, 12649, 5770, 198, 12, 12036, 5770, 480, 10002, 2473, 11, 358, 281, 290, 55039, 198, 12, 9734, 70, 34429, 12433, 72, 11, 7695, 66485, 1624, 9501, 385, 198, 12, 14094, 4428, 480, 21493, 47535, 11, 3320, 35703, 5048, 53747, 321, 13389, 198, 12, 386, 3394, 386, 4575, 2850, 11, 2522, 84, 8083, 1891, 281, 1468, 5808, 198, 12, 24270, 386, 2642, 2192, 11, 480, 747, 23087, 13557, 72, 1891, 1841, 20337, 198, 12, 63798, 53979, 11583, 773, 31803, 11, 34248, 496, 55446, 198, 12, 89699, 11258, 89, 822, 11, 452, 4896, 14356, 198, 12, 15754, 93103, 386, 625, 55397, 11, 2140, 329, 3394, 3091, 1167, 28279, 198, 12, 62463, 548, 9995, 72, 11, 57086, 3190, 72, 198, 12, 2998, 13028, 4497, 41076, 11, 5034, 610, 2649, 86647, 198, 12, 13678, 689, 4497, 7907, 11, 5034, 282, 1791, 2259, 198, 12, 2998, 93733, 8613, 75, 42327, 11, 36537, 47957, 2265, 72, 1891, 2160, 72, 198, 12, 35281, 4723, 9491, 11, 330, 6719, 312, 1195, 1, 320, 12319, 9765, 1347, 292, 5048, 1891, 1323, 72, 340, 12, 15754, 93103, 4723, 4896, 11, 33652, 43011, 23994, 198, 12, 356, 575, 462, 5770, 95189, 285, 822, 29710, 78, 11, 5034, 282, 2521, 9265, 198, 12, 58870, 56744, 29468, 47547, 11, 7695, 274, 13873, 66485, 198, 12, 18145, 61562, 39593, 438, 4896, 11, 358, 348, 526, 51737, 198, 12, 1676, 80844, 393, 8934, 258, 4428, 11, 358, 1080, 496, 332, 11222, 72, 1891, 369, 7907, 198, 12, 2998, 56347, 2394, 1141, 95894, 11, 7695, 66485, 1624, 24108, 320, 49, 275, 8318, 3980, 1640, 3457, 340, 12, 24881, 606, 16870, 2192, 11, 358, 8309, 51737, 198, 12, 52210, 16233, 29037, 11, 5034, 62940, 2259, 198, 12, 65781, 8375, 3978, 10462, 11, 5034, 19189, 73519, 689, 198, 12, 31447, 78, 49459, 72, 11, 5034, 1491, 6985, 198, 12, 15754, 93103, 23746, 23063, 78, 11, 26987, 56552, 348, 17820, 50929, 198, 12, 1708, 30637, 85962, 84, 11, 7695, 27673, 802, 4428, 198, 12, 393, 822, 14582, 797, 71, 6729, 11, 26987, 56552, 4809, 1169, 2629, 689, 198, 12, 480, 3394, 59316, 6729, 11, 4567, 65, 14559, 1624, 66485, 198, 12, 24270, 328, 2534, 72, 11, 7695, 66485, 198, 12, 75007, 65753, 328, 1885, 3457, 11, 5034, 348, 526, 25282, 198, 12, 2582, 1897, 78, 59226, 6198, 11, 5034, 57109, 580, 198, 12, 40971, 24568, 13028, 94966, 64, 11, 7695, 9148, 2119, 998, 25219, 6, 269, 13028, 198, 12, 5277, 2868, 350, 31824, 11, 10335, 265, 802, 349, 198, 12, 63651, 822, 8877, 66, 4428, 11, 480, 747, 23087, 13557, 72, 198, 12, 15754, 43761, 650, 3326, 29037, 11, 7695, 66485, 1624, 281, 1468, 461, 198, 12, 1102, 12812, 4196, 23202, 11, 2009, 63907, 24766, 198, 12, 5867, 34429, 75887, 12949, 11, 4514, 78, 1891, 9765, 1347, 3074, 198, 12, 24270, 650, 616, 5676, 5587, 72, 11, 26987, 56745, 4809, 1169, 2629, 648, 7951, 2444, 273, 198, 12, 67059, 14200, 650, 1468, 269, 6729, 11, 47863, 3091, 46155, 64, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 34785, 83647, 198, 32, 11092, 83647, 477, 83647, 22239, 374, 264, 44598, 12673, 4920, 279, 13691, 315, 264, 59785, 5089, 1511, 369, 2800, 477, 21811, 382, 567, 17554, 198, 644, 1690, 5961, 11, 12050, 527, 3917, 311, 990, 7394, 14640, 902, 4017, 279, 3392, 315, 892, 814, 649, 6678, 1603, 4737, 264, 65509, 8187, 2800, 4261, 13, 9176, 12050, 14896, 311, 6212, 304, 279, 22239, 477, 13691, 315, 872, 27861, 4856, 1109, 2343, 369, 264, 80743, 81481, 13, 34785, 17032, 3952, 5406, 315, 420, 323, 6137, 11469, 59785, 8316, 449, 11838, 272, 3518, 311, 3493, 264, 21811, 3158, 369, 12050, 13, 5664, 7394, 14640, 3881, 304, 279, 3723, 4273, 11, 4606, 11, 8494, 323, 304, 1023, 5596, 315, 279, 1917, 382, 567, 47563, 716, 89401, 198, 42845, 287, 10418, 17323, 3782, 1139, 1005, 439, 4216, 439, 279, 220, 5926, 15, 82, 11, 719, 814, 1051, 3629, 20451, 323, 29213, 13, 2435, 38913, 5535, 6506, 12, 33938, 311, 8493, 4038, 520, 264, 892, 389, 5754, 11, 3629, 10043, 304, 7411, 315, 1403, 320, 606, 23980, 1418, 279, 1023, 46498, 570, 3161, 420, 6992, 15150, 11, 12050, 6137, 3339, 7540, 311, 11092, 17032, 369, 8294, 323, 8294, 21811, 89401, 13, 47198, 6137, 54929, 311, 6506, 20197, 889, 11472, 7191, 19913, 13, 24708, 388, 1051, 15453, 8040, 2085, 6981, 304, 4059, 520, 220, 972, 311, 220, 1187, 115235, 320, 21675, 311, 220, 17608, 4194, 3906, 570, 2435, 6288, 14264, 311, 220, 1927, 311, 220, 2166, 115235, 320, 24579, 311, 220, 16, 11, 13762, 4194, 3906, 8, 449, 1317, 2902, 5049, 12050, 304, 4059, 13, 11205, 1404, 3782, 311, 387, 35319, 304, 279, 2326, 304, 279, 220, 6280, 15, 82, 719, 3160, 17294, 1051, 7108, 304, 279, 220, 3753, 15, 82, 13, 8572, 11092, 6212, 388, 13592, 304, 1404, 304, 6617, 27861, 505, 220, 1927, 115235, 320, 24579, 4194, 3906, 8, 311, 279, 11191, 220, 9870, 115235, 320, 20, 11, 25377, 4194, 3906, 570, 8572, 6212, 388, 2586, 19167, 449, 1690, 315, 279, 36483, 315, 6617, 33570, 82, 13, 3296, 220, 1049, 15, 11, 13489, 220, 2031, 4, 315, 502, 27861, 28648, 304, 279, 2326, 5343, 83647, 10418, 17323, 627, 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 ]
[ 128000, 2, 12656, 49332, 1432, 9023, 12656, 49332, 17067, 937, 393, 7532, 1777, 320, 24, 6841, 220, 11128, 22, 1389, 220, 806, 5936, 220, 9714, 24, 8, 574, 264, 27188, 28378, 323, 11164, 276, 380, 13, 5659, 220, 10336, 23, 311, 220, 9741, 15, 568, 574, 4900, 315, 279, 16591, 9304, 315, 88599, 315, 41406, 382, 567, 9601, 198, 1548, 574, 9405, 389, 220, 24, 6841, 220, 11128, 22, 304, 11291, 2025, 304, 37674, 451, 729, 35548, 13, 5414, 7126, 8111, 311, 617, 8636, 994, 568, 574, 3995, 323, 568, 7882, 311, 83244, 648, 435, 88, 1897, 596, 13330, 389, 279, 16591, 39697, 304, 41406, 449, 813, 6691, 13, 1283, 574, 33142, 304, 279, 5234, 6150, 304, 41406, 13, 1283, 20041, 16088, 520, 279, 3907, 315, 41406, 11, 57017, 449, 459, 14306, 304, 220, 10828, 16, 13, 1283, 1243, 6137, 16920, 1711, 304, 386, 29283, 3344, 3074, 520, 279, 26041, 5364, 4269, 6150, 304, 41406, 13, 1283, 574, 1101, 264, 88298, 2225, 520, 279, 41406, 16591, 15268, 404, 1563, 323, 520, 279, 41406, 3142, 70830, 729, 661, 627, 644, 220, 10750, 15, 568, 574, 5496, 520, 10690, 15992, 304, 41406, 627, 644, 220, 10336, 16, 568, 574, 16689, 264, 4562, 315, 279, 362, 3380, 360, 391, 1122, 10349, 13, 763, 220, 10336, 16, 49332, 574, 1101, 16689, 264, 4562, 315, 279, 5340, 588, 1122, 13581, 315, 41406, 323, 10434, 439, 4900, 304, 220, 9741, 18, 13, 763, 220, 9741, 20, 279, 13581, 11007, 389, 1461, 279, 16044, 1104, 2316, 315, 330, 43824, 315, 48961, 3904, 1, 323, 568, 28520, 574, 832, 315, 1202, 6367, 5548, 505, 220, 9741, 23, 12, 9714, 24, 627, 644, 220, 9741, 15, 568, 574, 16689, 264, 37946, 315, 279, 16591, 13581, 315, 41406, 11, 813, 10045, 261, 1694, 17177, 8563, 3771, 3416, 13, 1283, 2834, 279, 13581, 596, 40424, 67, 49404, 543, 47335, 32293, 369, 279, 4261, 220, 9714, 15, 12, 5538, 369, 813, 51342, 315, 8563, 8595, 5683, 13, 6193, 323, 3485, 813, 32858, 315, 279, 16591, 9304, 315, 88599, 315, 41406, 11, 568, 574, 1101, 4900, 315, 279, 3344, 4042, 30653, 404, 57673, 13581, 304, 220, 9741, 19, 323, 4900, 315, 279, 23869, 45983, 13581, 315, 41406, 304, 220, 9741, 16, 4235, 4103, 323, 220, 9741, 22, 4235, 2970, 627, 1548, 8636, 520, 813, 2162, 220, 972, 4892, 69859, 6825, 304, 41406, 596, 1561, 14298, 389, 220, 806, 5936, 220, 9714, 24, 323, 374, 28016, 304, 25028, 59578, 304, 19001, 41406, 13, 578, 25165, 15812, 389, 279, 10007, 3185, 315, 279, 7147, 50802, 279, 4113, 59404, 505, 279, 18671, 9070, 11, 3345, 311, 1202, 24024, 842, 382, 567, 62770, 198, 12, 67680, 25807, 12851, 372, 763, 19729, 324, 1604, 11, 1611, 356, 12119, 285, 3489, 9371, 473, 533, 38965, 12851, 258, 9371, 8613, 309, 435, 94218, 3935, 11, 1611, 593, 12587, 11220, 2521, 285, 12851, 258, 9371, 320, 10828, 16, 340, 12, 95946, 520, 279, 18945, 320, 9714, 22, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 328, 3329, 40617, 343, 11070, 388, 271, 791, 57281, 328, 3329, 40617, 343, 11070, 388, 320, 31606, 950, 27296, 315, 5609, 8, 527, 264, 63517, 3778, 71708, 3196, 304, 5960, 13175, 11, 7188, 13, 763, 279, 5209, 220, 3753, 15, 82, 279, 71708, 574, 1101, 3967, 439, 279, 8215, 261, 460, 68141, 439, 814, 91713, 439, 264, 25199, 71708, 6957, 4606, 198, 791, 71708, 596, 7643, 55656, 11, 10058, 32245, 6347, 54521, 11, 14454, 328, 3329, 40617, 343, 11070, 388, 304, 220, 4468, 19, 520, 279, 3907, 315, 279, 26363, 3871, 449, 279, 1023, 4236, 505, 279, 9304, 315, 10948, 627, 2028, 374, 264, 1160, 315, 279, 71708, 596, 5820, 323, 33997, 512, 679, 19, 1389, 3118, 1050, 63316, 11, 11378, 315, 47784, 82, 198, 12, 47784, 82, 304, 86302, 24076, 11, 5960, 13175, 11, 6898, 822, 331, 11, 68310, 546, 11, 52068, 23637, 323, 95535, 4409, 271, 1049, 23, 482, 679, 15, 25992, 10280, 47784, 82, 612, 10928, 26050, 3095, 198, 12, 78594, 7453, 11, 56138, 55069, 11, 16376, 51657, 323, 5960, 13175, 271, 1049, 22, 47784, 11378, 198, 12, 5629, 7188, 7327, 921, 10020, 17772, 323, 42321, 11, 5960, 34297, 4761, 285, 5481, 21530, 11004, 482, 99432, 753, 28206, 10260, 198, 12, 47784, 82, 304, 8444, 70160, 11, 95535, 4409, 11, 5960, 44670, 78, 11, 12937, 783, 271, 1049, 21, 12152, 47784, 14986, 198, 12, 87915, 7327, 921, 10020, 33995, 64, 372, 953, 86, 11, 44109, 11188, 11, 8013, 19326, 11, 7008, 5629, 11004, 482, 48302, 921, 10020, 10948, 10260, 10657, 11004, 482, 22919, 51268, 29030, 99432, 10260, 198, 12, 33995, 64, 372, 953, 86, 47784, 82, 33916, 18531, 11, 44570, 35305, 198, 12, 47784, 82, 304, 5960, 44670, 78, 11, 5960, 13175, 198, 12, 25992, 10280, 47784, 271, 1049, 20, 7665, 47784, 14986, 198, 12, 7708, 7327, 29976, 276, 9431, 323, 19294, 30748, 47633, 11, 8611, 7430, 648, 5697, 11, 18157, 21530, 11004, 482, 19294, 30748, 10260, 198, 12, 7188, 3314, 32633, 10092, 16990, 11, 41334, 17768, 315, 48698, 369, 1054, 849, 5997, 768, 304, 921, 10020, 26050, 3095, 304, 7188, 323, 33916, 279, 4435, 863, 1835, 10666, 555, 23072, 8611, 102952, 942, 198, 12, 47476, 11, 12595, 388, 220, 22, 339, 25992, 7327, 99432, 17772, 11, 9853, 12167, 198, 12, 220, 1049, 20, 4435, 76510, 22826, 449, 13960, 53883, 6243, 370, 11, 9984, 27307, 198, 12, 5960, 13175, 4409, 11166, 75200, 315, 57281, 19961, 11, 9984, 27307, 198, 12, 47784, 82, 304, 5960, 13175, 11, 30781, 11, 68310, 546, 11, 323, 52068, 23637, 198, 12, 25992, 10280, 47784, 271, 1049, 19, 7665, 47784, 14986, 198, 12, 220, 2970, 339, 445, 5317, 33389, 7327, 57357, 469, 13539, 3013, 347, 11, 23782, 23690, 11004, 482, 11995, 304, 32479, 10260, 323, 65337, 9761, 292, 10260, 198, 12, 30388, 5660, 17772, 96167, 409, 5444, 3074, 409, 73466, 343, 3714, 11, 18157, 198, 12, 47476, 11, 12595, 388, 220, 21, 339, 25992, 7327, 99432, 17772, 11, 9853, 12167, 198, 12, 47784, 82, 304, 5960, 13175, 11, 10357, 79, 21920, 11, 30781, 11, 52068, 23637, 323, 9853, 12167, 198, 12, 25992, 10280, 47784, 271, 1049, 18, 12550, 47784, 14986, 198, 12, 17244, 17772, 67661, 532, 409, 4563, 437, 11, 393, 361, 65826, 11, 12550, 650, 9437, 1054, 14809, 99432, 89874, 12, 47784, 82, 304, 5960, 13175, 11, 5960, 11097, 11, 52068, 23637, 323, 10357, 79, 21920, 198, 12, 25992, 10280, 47784, 271, 2550, 21, 10057, 47784, 14986, 198, 12, 47784, 82, 304, 2204, 9919, 304, 10057, 271, 2550, 19, 18157, 47784, 14986, 198, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47784, 82, 34496, 9919, 304, 279, 32544, 82371, 5654, 315, 18157, 271, 3753, 18, 7665, 612, 17355, 3778, 14986, 198, 12, 7054, 32293, 20572, 40, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 12433, 78, 423, 529, 11787, 46748, 11, 15704, 65337, 9761, 292, 10260, 198, 12, 7054, 32293, 30388, 5660, 7327, 921, 10020, 42321, 11, 47247, 63141, 1389, 15704, 65337, 9761, 292, 10260, 198, 12, 47476, 11, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47784, 82, 10057, 11, 15704, 11, 18157, 11, 34250, 437, 87210, 689, 11, 3723, 15422, 11, 9822, 11, 7008, 11, 7427, 271, 3753, 16, 7665, 14986, 198, 12, 21530, 32293, 445, 5317, 33389, 7327, 57357, 469, 13539, 3013, 347, 11, 23782, 320, 87533, 99432, 10260, 340, 12, 7054, 32293, 30388, 53, 23440, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 12433, 78, 423, 529, 11787, 46748, 11, 15704, 198, 12, 19960, 99432, 10260, 320, 32, 588, 23880, 19960, 99432, 340, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47476, 622, 1540, 3536, 5444, 3074, 645, 4514, 85239, 11, 28035, 11, 18157, 198, 12, 47476, 6460, 8930, 37541, 10948, 9702, 11, 64158, 11, 3723, 15422, 198, 12, 47784, 82, 3723, 15422, 11, 18157, 11, 15704, 11, 10057, 271, 3753, 15, 7665, 47784, 14986, 198, 12, 10517, 32293, 2009, 6151, 349, 4657, 15663, 25807, 81423, 290, 379, 3735, 333, 65045, 650, 5171, 300, 11, 59602, 12252, 11, 18157, 198, 12, 21530, 32293, 445, 5317, 33389, 7327, 57357, 469, 13539, 3013, 347, 11, 23782, 482, 65337, 9761, 292, 10260, 320, 5451, 57281, 99432, 311, 16136, 304, 279, 469, 13539, 3013, 347, 340, 12, 47476, 12103, 12778, 7881, 30160, 10948, 9702, 11, 10057, 198, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47476, 42931, 529, 64916, 28035, 11, 18157, 198, 12, 61647, 13792, 432, 1263, 69, 3200, 83239, 11, 10057, 198, 12, 47784, 82, 18157, 11, 3723, 15422, 11, 10057, 11, 35998, 11, 35440, 271, 4468, 24, 7665, 47784, 14986, 198, 12, 5629, 32293, 30388, 53, 5660, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 12433, 78, 423, 529, 11787, 46748, 11, 15704, 198, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47476, 53694, 66403, 1624, 42931, 529, 64916, 28035, 11, 18157, 198, 12, 21304, 520, 578, 4435, 69924, 315, 7923, 1430, 8375, 9339, 753, 38571, 20603, 386, 24201, 304, 39553, 7881, 11, 10057, 198, 12, 21304, 520, 578, 220, 4728, 339, 1060, 75200, 315, 279, 18452, 483, 57829, 315, 79158, 11, 10057, 198, 12, 47784, 82, 3723, 15422, 11, 10057, 11, 18157, 11, 97877, 11, 28702, 11, 15704, 271, 644, 220, 3753, 15, 54521, 1101, 13375, 279, 21998, 23880, 19960, 921, 10020, 323, 4036, 279, 5629, 22643, 369, 279, 8762, 71708, 5699, 520, 279, 30388, 53, 23440, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 11, 12433, 78, 294, 529, 8886, 46748, 11, 15704, 13, 1283, 81754, 279, 328, 3329, 40617, 343, 71708, 304, 220, 1049, 17, 26, 304, 220, 1049, 18, 814, 1051, 16626, 1054, 14809, 99432, 863, 304, 279, 4435, 921, 10020, 17772, 304, 393, 361, 65826, 11, 12550, 13, 2435, 1101, 2834, 220, 19, 339, 2035, 520, 279, 20072, 526, 33389, 7327, 57357, 469, 13539, 3013, 347, 304, 220, 1049, 19, 345, 38075, 22643, 520, 279, 7327, 29976, 276, 9431, 323, 19294, 30748, 47633, 315, 8611, 7430, 648, 5697, 11, 18157, 304, 220, 1049, 20, 323, 198, 5451, 22643, 323, 10657, 32293, 520, 33995, 64, 25330, 21659, 7327, 921, 10020, 42321, 304, 44109, 11188, 11, 18531, 11, 7008, 304, 220, 1049, 21, 13, 28232, 220, 1049, 24, 12, 679, 19, 279, 71708, 574, 389, 264, 81286, 719, 2533, 3389, 220, 679, 19, 279, 71708, 374, 3131, 1578, 4642, 13, 11205, 1455, 3293, 20392, 574, 264, 4731, 19309, 2391, 5887, 220, 679, 21, 304, 54333, 998, 11, 15704, 720, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 26068, 23263, 198, 30962, 23263, 320, 9390, 15, 6912, 8, 574, 264, 9063, 8216, 13788, 279, 32568, 847, 3444, 3158, 449, 264, 41985, 3645, 13, 578, 8216, 574, 1234, 279, 15637, 315, 22791, 65780, 13792, 11, 4953, 627, 30962, 23263, 596, 5842, 574, 26765, 555, 279, 12411, 26545, 9849, 389, 5587, 220, 717, 11, 220, 679, 24, 11, 4245, 311, 279, 8216, 3515, 1027, 21737, 2533, 3297, 220, 1591, 11, 220, 679, 22, 627, 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 ]
[ 128000, 2, 578, 393, 1693, 86, 5908, 520, 5236, 73934, 6672, 198, 791, 393, 1693, 86, 5908, 520, 5236, 73934, 6672, 374, 264, 2911, 596, 11775, 555, 20263, 818, 57628, 543, 11, 4756, 555, 13934, 454, 69, 304, 220, 679, 16, 13, 1102, 374, 279, 4948, 2363, 304, 578, 393, 1693, 86, 5908, 4101, 11, 323, 374, 53580, 555, 578, 393, 1693, 86, 5908, 389, 23251, 309, 6825, 13, 578, 9861, 6603, 304, 279, 4101, 527, 578, 393, 1693, 86, 5908, 304, 12531, 323, 578, 393, 1693, 86, 5908, 520, 8155, 11, 279, 1566, 315, 1124, 1694, 4756, 304, 220, 679, 23, 627, 791, 1925, 6376, 315, 279, 2363, 11, 5236, 73934, 6672, 11, 374, 3196, 389, 22302, 5236, 11, 3221, 64370, 47364, 40282, 304, 30890, 627, 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 ]
[ 128000, 2, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 198, 791, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 374, 279, 32415, 315, 1403, 6989, 315, 264, 4987, 11904, 8431, 20841, 369, 14385, 315, 86166, 430, 574, 304, 1005, 505, 220, 6280, 17, 311, 220, 5162, 16, 11, 1418, 279, 3224, 574, 2103, 264, 25543, 87149, 304, 279, 8013, 38298, 13, 578, 20841, 574, 81099, 555, 16657, 21393, 8105, 389, 220, 868, 6790, 220, 6280, 17, 382, 567, 43964, 198, 791, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 279, 32415, 315, 1403, 6989, 315, 4987, 10384, 596, 8592, 30028, 20841, 369, 86166, 11, 574, 81099, 555, 16591, 468, 6736, 315, 220, 868, 6790, 220, 6280, 17, 11, 4756, 304, 10423, 75682, 912, 13, 220, 14408, 18, 30105, 220, 1544, 7552, 220, 6280, 18, 13, 578, 37712, 12860, 279, 9323, 315, 4987, 10384, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 1306, 279, 85045, 311, 279, 8013, 91701, 315, 16657, 21393, 8105, 389, 220, 21, 7552, 220, 6280, 17, 382, 567, 17768, 13186, 198, 791, 6931, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 574, 22034, 311, 44917, 14385, 315, 19754, 32310, 10887, 304, 279, 3663, 315, 51551, 323, 8196, 60392, 555, 1884, 11062, 315, 279, 9323, 315, 4987, 10384, 477, 1202, 18222, 39543, 889, 52356, 872, 6439, 304, 279, 1180, 315, 14324, 11, 477, 90031, 287, 311, 3665, 11, 279, 6439, 315, 3885, 13, 30538, 279, 15244, 315, 279, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 279, 4787, 315, 41734, 430, 1047, 9435, 311, 279, 6342, 596, 17867, 1051, 17626, 311, 2997, 2536, 1824, 275, 30060, 315, 279, 9323, 369, 14385, 315, 19754, 32310, 2949, 279, 9323, 477, 1418, 14324, 477, 90031, 287, 311, 3665, 279, 6439, 315, 10495, 315, 279, 9323, 18403, 382, 567, 7365, 315, 10051, 198, 644, 279, 8013, 2015, 315, 54156, 11, 279, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 21467, 439, 264, 4948, 2237, 20841, 11, 13890, 311, 279, 16657, 596, 25919, 32310, 17867, 13, 1102, 374, 53580, 304, 2015, 315, 10051, 555, 279, 7904, 423, 80382, 5475, 17867, 323, 26399, 555, 279, 423, 80382, 5475, 17867, 627, 644, 4987, 10384, 11, 279, 37712, 374, 21682, 439, 264, 2132, 2237, 20841, 323, 11, 8994, 1202, 2704, 11, 433, 706, 912, 1772, 5392, 316, 992, 12197, 13, 1102, 374, 53580, 555, 279, 9928, 86, 468, 752, 804, 65119, 323, 26399, 555, 279, 4987, 11904, 10289, 11511, 369, 3320, 25727, 627, 791, 37712, 21467, 389, 1370, 449, 279, 6931, 9323, 315, 4987, 10384, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 323, 279, 17876, 30643, 880, 1037, 65119, 369, 3320, 25727, 11, 15347, 382, 567, 7817, 198, 4213, 4550, 198, 791, 20841, 374, 17948, 304, 15310, 323, 374, 264, 13668, 11, 220, 1987, 2606, 86366, 417, 304, 23899, 449, 264, 9408, 31230, 323, 264, 3544, 10264, 9482, 1693, 13, 578, 1536, 4550, 62991, 279, 79743, 3369, 93593, 315, 16657, 21393, 8105, 11, 13176, 1314, 323, 23712, 555, 279, 51670, 330, 2818, 2913, 1905, 7780, 8105, 3467, 40, 95341, 5987, 13990, 33004, 435, 13, 423, 1210, 2212, 279, 47442, 627, 46795, 198, 791, 10134, 374, 20086, 311, 430, 315, 279, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 323, 62991, 279, 220, 972, 339, 34457, 29715, 12084, 30643, 969, 329, 30643, 880, 1037, 389, 813, 15580, 11, 13208, 7623, 8448, 86, 25662, 32696, 505, 264, 13766, 88, 9581, 13, 578, 2217, 374, 4319, 6370, 17890, 2212, 279, 1948, 304, 6498, 323, 127113, 598, 449, 279, 4339, 330, 32002, 74863, 31619, 7436, 75795, 423, 64538, 1837, 926, 23811, 49, 36180, 198, 791, 45667, 374, 1101, 20086, 311, 430, 315, 279, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 220, 2096, 2606, 86366, 417, 7029, 323, 6453, 6437, 449, 220, 19, 27154, 2606, 86366, 417, 7029, 19087, 13116, 382, 567, 4185, 22025, 4090, 198, 791, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 574, 65259, 5304, 279, 21967, 315, 279, 5545, 315, 4987, 10384, 389, 220, 2148, 3297, 220, 5162, 16, 13, 1102, 574, 26399, 555, 279, 30643, 880, 1037, 65119, 369, 3320, 25727, 11, 15347, 430, 574, 81099, 389, 220, 508, 3297, 220, 4468, 15, 382, 567, 4158, 14449, 198, 7456, 832, 10292, 315, 279, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 574, 1903, 11, 117015, 6702, 389, 220, 1544, 5587, 220, 6280, 18, 11, 311, 4491, 54300, 11289, 12131, 452, 8839, 268, 11, 889, 6924, 264, 4333, 889, 1047, 1027, 24269, 323, 6832, 2531, 1047, 1027, 78549, 1022, 555, 264, 44892, 520, 468, 771, 645, 652, 3159, 304, 42701, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 13528, 267, 2357, 8207, 8216, 198, 77489, 267, 2357, 8207, 8216, 374, 279, 8216, 315, 13528, 267, 2357, 8207, 304, 279, 6063, 1614, 315, 16835, 55485, 13, 1102, 15812, 389, 279, 20437, 4235, 39, 32548, 55556, 323, 574, 9107, 369, 46217, 304, 220, 9741, 18, 323, 369, 22961, 304, 220, 9741, 24, 13, 578, 13528, 267, 2357, 8207, 8216, 315, 279, 4846, 4410, 652, 625, 11289, 11182, 22249, 55556, 320, 33179, 25, 4410, 652, 625, 21114, 30718, 285, 12928, 65, 30660, 8, 574, 14373, 323, 574, 10434, 555, 24023, 3600, 505, 220, 7529, 16, 311, 220, 4468, 20, 323, 555, 46217, 9629, 3156, 279, 7314, 315, 279, 220, 2550, 15, 82, 13, 578, 1614, 8216, 596, 4275, 511, 448, 950, 20396, 4857, 3235, 449, 264, 2132, 4857, 11, 1202, 11822, 25351, 323, 279, 82568, 315, 279, 2291, 63858, 617, 28948, 9313, 382, 567, 10067, 198, 791, 8216, 374, 7559, 520, 44987, 265, 220, 8929, 13, 18, 315, 279, 20437, 4235, 39, 32548, 40106, 323, 9909, 315, 279, 12541, 315, 13528, 267, 2357, 8207, 13, 578, 40106, 8640, 304, 420, 3158, 304, 264, 17715, 10411, 1355, 2969, 5216, 323, 11, 304, 279, 8216, 3158, 11, 28129, 279, 2362, 6149, 315, 6918, 27834, 220, 20, 11, 902, 1457, 8640, 389, 264, 31818, 315, 279, 6424, 311, 279, 10007, 13, 10180, 220, 868, 52957, 311, 279, 10007, 40607, 374, 279, 9474, 10954, 315, 3700, 273, 7881, 323, 1120, 220, 508, 4194, 16400, 311, 279, 10007, 374, 279, 40106, 49341, 315, 468, 23257, 655, 713, 13, 578, 6149, 315, 279, 4410, 652, 625, 11289, 11182, 22249, 55556, 505, 3700, 273, 7881, 311, 13528, 267, 2357, 8207, 8813, 279, 6424, 505, 279, 11226, 323, 10837, 369, 264, 2875, 6138, 15638, 311, 279, 1925, 1584, 304, 279, 6424, 323, 1243, 8738, 311, 279, 41929, 382, 567, 11346, 198, 791, 20437, 4235, 39, 32548, 40106, 1990, 20437, 323, 2577, 24604, 10481, 574, 9107, 389, 220, 868, 6664, 220, 10336, 21, 13, 12220, 279, 1176, 1667, 315, 5784, 389, 279, 1584, 11, 43241, 68846, 363, 8216, 574, 279, 1193, 8216, 389, 279, 1584, 1990, 468, 23257, 655, 713, 323, 37294, 363, 13, 1115, 1457, 8036, 8216, 10434, 439, 279, 3973, 8216, 389, 279, 3973, 315, 2394, 29578, 323, 2206, 377, 2963, 10481, 6354, 331, 6703, 258, 627, 77489, 267, 2357, 8207, 8216, 1176, 4024, 304, 5784, 369, 46217, 7710, 389, 220, 16, 6841, 220, 9741, 18, 13, 578, 81263, 18442, 11289, 13299, 1923, 363, 8351, 320, 38, 94210, 11289, 13299, 1923, 1223, 6830, 5964, 72, 833, 288, 70801, 8, 1511, 279, 8216, 311, 7710, 72700, 635, 68768, 3221, 81263, 18442, 11289, 323, 4529, 555, 5754, 311, 13528, 267, 2357, 8207, 13, 68734, 3600, 65362, 520, 279, 8216, 304, 220, 9741, 24, 449, 279, 9954, 315, 279, 20396, 4857, 13, 2435, 1550, 539, 5101, 304, 279, 67640, 315, 220, 9741, 20, 627, 38120, 13840, 315, 24023, 28788, 10717, 520, 279, 8216, 304, 220, 9367, 15, 13, 578, 4410, 652, 625, 11289, 11182, 22249, 55556, 574, 9107, 304, 220, 7529, 16, 323, 1047, 1202, 8216, 389, 279, 2291, 63858, 315, 279, 8216, 315, 279, 1614, 40106, 627, 2127, 13489, 17510, 13437, 24725, 3857, 315, 279, 1584, 2212, 13528, 267, 2357, 8207, 11, 902, 374, 4661, 7833, 11, 574, 1511, 304, 279, 3389, 220, 5926, 15, 82, 369, 1579, 30699, 7177, 13, 763, 220, 7285, 16, 11, 279, 5124, 32361, 3059, 69108, 315, 66620, 16852, 1983, 56936, 8813, 264, 1917, 4732, 3335, 315, 220, 9870, 4194, 16400, 7682, 304, 13528, 267, 2357, 8207, 11, 902, 433, 5762, 369, 220, 1187, 1667, 627, 12465, 10214, 9629, 27378, 14958, 24070, 13, 763, 279, 220, 7285, 15, 82, 11, 4848, 13840, 315, 24023, 28788, 264, 1938, 10434, 279, 8216, 11, 3116, 315, 902, 10837, 311, 20437, 11, 279, 1023, 1403, 1193, 439, 3117, 439, 468, 23257, 655, 713, 627, 12465, 10214, 3600, 389, 279, 4410, 652, 625, 11289, 11182, 22249, 55556, 1051, 23838, 304, 220, 4468, 20, 13, 7648, 315, 279, 1584, 574, 23838, 11, 719, 46217, 8738, 311, 14816, 389, 279, 3857, 505, 13528, 267, 2357, 8207, 311, 3700, 273, 7881, 3156, 279, 4216, 220, 2550, 15, 82, 323, 433, 574, 1511, 369, 28961, 3521, 76339, 13, 50487, 11, 279, 3857, 505, 13528, 267, 2357, 8207, 311, 24079, 57365, 78275, 3221, 423, 543, 1083, 14958, 1825, 311, 4667, 449, 264, 2254, 70181, 8803, 3156, 1306, 220, 2550, 15, 627, 791, 3717, 505, 7023, 451, 10481, 311, 5124, 6703, 258, 11, 2737, 279, 1584, 1555, 13528, 267, 2357, 8207, 8216, 11, 574, 43906, 1908, 304, 220, 3753, 21, 14, 4044, 13, 763, 279, 2132, 4376, 315, 279, 220, 3753, 15, 82, 11, 13528, 267, 2357, 8207, 574, 10434, 555, 264, 2478, 61523, 47114, 14694, 773, 320, 14107, 8, 3600, 13, 94666, 264, 2046, 459, 3237, 5542, 10837, 505, 5124, 6703, 258, 311, 20437, 323, 1203, 323, 10717, 520, 279, 8216, 13, 18715, 11, 24023, 3600, 1051, 7347, 369, 11026, 311, 3116, 13840, 315, 28788, 264, 1938, 627, 644, 279, 5209, 12, 2550, 15, 82, 11, 3600, 1051, 11838, 323, 279, 67640, 3984, 5912, 20653, 6283, 3600, 13, 8949, 28788, 4401, 1990, 468, 23257, 655, 713, 323, 5124, 6703, 258, 8854, 13528, 267, 2357, 8207, 1475, 1403, 4207, 627, 644, 279, 220, 2550, 15, 82, 11, 279, 8216, 574, 60685, 323, 3984, 449, 15771, 389, 279, 23651, 3422, 315, 279, 14242, 13, 763, 264, 2132, 6566, 11, 279, 1584, 574, 33624, 311, 264, 7340, 4732, 315, 220, 9870, 4194, 16400, 7682, 323, 682, 2237, 87199, 1051, 7108, 323, 12860, 555, 927, 95423, 477, 1234, 95423, 13, 578, 27736, 315, 279, 4846, 6918, 27834, 304, 279, 8216, 3158, 574, 6724, 8036, 11, 719, 56183, 323, 62558, 649, 1005, 279, 5452, 26711, 627, 15724, 320, 2366, 18, 8, 13528, 267, 2357, 8207, 17040, 374, 10434, 555, 3680, 220, 23, 1475, 1403, 4207, 25, 468, 2191, 277, 4194, 4235, 5124, 6703, 258, 4194, 4235, 85550, 3306, 592, 1389, 13528, 267, 2357, 8207, 4194, 4235, 220, 20437, 220, 1389, 94674, 21348, 271, 14711, 17040, 323, 4676, 198, 791, 8216, 4857, 374, 389, 279, 11226, 3185, 315, 279, 14242, 7119, 279, 6424, 13, 1102, 13517, 1047, 3116, 76563, 389, 1202, 1317, 3185, 449, 264, 342, 2364, 15485, 323, 264, 8792, 33670, 46713, 1725, 449, 1403, 76563, 389, 279, 5452, 3185, 13, 1102, 574, 4528, 311, 279, 8216, 14016, 430, 1047, 1027, 5918, 6931, 389, 279, 20437, 4235, 39, 32548, 40106, 11, 1778, 439, 1884, 304, 37294, 363, 323, 31782, 25356, 69, 11, 8051, 814, 1051, 5918, 449, 4330, 76563, 505, 279, 7314, 13, 578, 33670, 46713, 1725, 389, 279, 6424, 3185, 574, 1193, 67469, 520, 13, 578, 4857, 574, 17626, 33452, 304, 220, 9674, 22, 14, 2495, 13, 13596, 4330, 76563, 1051, 5918, 311, 279, 10007, 323, 279, 18561, 1403, 1101, 1051, 961, 315, 459, 33670, 46713, 1725, 11, 779, 430, 279, 4857, 8111, 505, 279, 3839, 3185, 311, 387, 13489, 8045, 59402, 627, 2654, 66305, 279, 8216, 4857, 311, 279, 10411, 11, 1070, 374, 264, 2678, 704, 24177, 449, 264, 4376, 2442, 318, 655, 291, 62716, 304, 1202, 15485, 3158, 13, 9393, 420, 4857, 574, 2736, 6982, 389, 264, 2472, 5029, 505, 2212, 220, 9714, 15, 11, 433, 374, 11846, 430, 433, 374, 832, 315, 279, 24417, 5596, 315, 279, 8216, 323, 11000, 13003, 1203, 311, 279, 892, 1603, 279, 8246, 315, 279, 20396, 4857, 13, 16782, 4726, 10411, 374, 279, 4846, 11822, 25351, 13, 9479, 311, 279, 8216, 4857, 311, 279, 10007, 1070, 574, 264, 8821, 27306, 2565, 5918, 704, 315, 25878, 304, 264, 330, 442, 8322, 1742, 3343, 1102, 574, 76993, 311, 1304, 3130, 369, 459, 9070, 311, 279, 5452, 26711, 2391, 279, 50555, 315, 279, 8216, 627, 644, 279, 4216, 220, 1049, 15, 82, 11, 279, 4857, 574, 832, 315, 279, 2478, 8216, 14016, 430, 1047, 26968, 505, 279, 4216, 1667, 315, 279, 20437, 4235, 39, 32548, 55556, 430, 574, 539, 3686, 264, 28948, 9206, 291, 4857, 13, 8876, 1243, 11, 279, 40126, 315, 279, 8216, 11, 330, 6387, 11330, 315, 279, 1925, 8216, 14016, 11, 279, 704, 24177, 11, 279, 11822, 25351, 323, 279, 82568, 498, 617, 1027, 2728, 28948, 9313, 13, 4740, 279, 4857, 1047, 1317, 14980, 4384, 369, 279, 1455, 961, 11, 279, 1566, 9861, 26305, 11, 264, 10960, 11, 2163, 279, 8216, 304, 4216, 220, 679, 18, 382, 14711, 7089, 14054, 198, 38363, 1070, 574, 264, 5452, 1828, 311, 279, 8216, 4857, 389, 279, 1925, 3839, 311, 279, 10411, 323, 420, 5452, 574, 15987, 4669, 3585, 505, 279, 3839, 4401, 304, 279, 14329, 5216, 13, 4410, 315, 279, 1555, 14242, 1070, 1051, 46217, 14242, 323, 810, 46217, 14414, 826, 11096, 389, 279, 24024, 3185, 315, 279, 8216, 10411, 315, 279, 20396, 4857, 13, 763, 420, 3158, 574, 279, 8481, 3839, 311, 279, 4410, 652, 625, 11289, 11182, 22249, 55556, 13, 11699, 5452, 574, 304, 279, 2291, 63858, 315, 279, 1614, 8216, 323, 10411, 315, 433, 1070, 1051, 13077, 369, 46217, 7710, 627, 12834, 1202, 50555, 11, 279, 8216, 706, 2380, 1555, 14242, 13, 578, 1925, 5452, 374, 7559, 389, 279, 1925, 3839, 4401, 311, 279, 10411, 13, 578, 4994, 5452, 369, 28788, 4401, 311, 279, 10007, 374, 389, 264, 5043, 3839, 323, 304, 1990, 1070, 374, 264, 3839, 2085, 264, 5452, 369, 1555, 28788, 13, 11995, 15771, 527, 8599, 555, 459, 1234, 6519, 449, 87216, 627, 2520, 46217, 9629, 1070, 374, 2103, 264, 76785, 3717, 311, 279, 25878, 4375, 389, 279, 53342, 3185, 315, 279, 40106, 14242, 323, 264, 3717, 311, 264, 24875, 2626, 389, 279, 41929, 3185, 374, 2103, 10434, 13, 7089, 13537, 34833, 6197, 311, 264, 34479, 323, 264, 28091, 1147, 8803, 11226, 323, 41929, 315, 279, 8216, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 14253, 30427, 25744, 22967, 198, 42398, 30427, 25744, 22967, 374, 459, 13673, 14253, 30427, 7359, 635, 3549, 304, 220, 1049, 18, 555, 13673, 32639, 25871, 14583, 11872, 13, 14253, 30427, 3229, 622, 13, 735, 13, 96607, 22034, 279, 3997, 264, 330, 59377, 13207, 17768, 498, 28898, 430, 10768, 275, 60, 374, 264, 2294, 13673, 2816, 449, 459, 10098, 3210, 3995, 5687, 889, 617, 9124, 1063, 2216, 70162, 6576, 10522, 2266, 567, 35907, 198, 42398, 30427, 25744, 22967, 596, 1925, 5357, 374, 279, 10401, 315, 14253, 30427, 3754, 323, 14253, 30427, 5552, 10430, 323, 8970, 13, 578, 2816, 706, 9960, 4455, 304, 279, 3723, 4273, 11, 3723, 15422, 323, 8494, 11, 2737, 2363, 19786, 11, 5818, 19786, 11, 21134, 288, 323, 8571, 66237, 13, 2468, 279, 29788, 315, 32780, 34321, 2637, 433, 706, 9960, 279, 2326, 323, 6560, 21134, 288, 315, 279, 1566, 4848, 14253, 30427, 12631, 323, 706, 11157, 12263, 78614, 5294, 31362, 311, 1934, 389, 14253, 30427, 39970, 13, 578, 3997, 706, 1101, 1027, 4183, 369, 46643, 304, 279, 73081, 30802, 555, 279, 5165, 11896, 315, 8494, 627, 791, 2816, 706, 1047, 279, 6776, 311, 7274, 1690, 315, 279, 6445, 323, 13941, 6532, 304, 279, 14253, 30427, 4632, 19562, 11, 2737, 15469, 21254, 80556, 11, 87269, 480, 1616, 11, 8529, 27246, 783, 11, 10641, 12930, 38206, 11, 25871, 100165, 11, 7957, 91636, 11, 36857, 12424, 28163, 323, 13941, 3697, 6941, 84813, 11, 6941, 28653, 1543, 323, 6941, 32817, 263, 13, 23212, 11, 622, 13, 735, 13, 96607, 19089, 4860, 505, 459, 1825, 6661, 5439, 555, 279, 2816, 627, 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 ]
[ 128000, 2, 11208, 279, 18449, 2209, 320, 2550, 15, 4632, 340, 9241, 279, 18449, 2209, 374, 264, 220, 2550, 15, 3778, 24364, 23160, 4632, 1080, 67383, 323, 15910, 555, 3842, 2577, 63975, 323, 40500, 423, 370, 3520, 50532, 11, 86868, 76155, 1543, 11, 91162, 92897, 11, 4656, 13391, 258, 95183, 11, 17360, 4341, 3383, 285, 11, 323, 26035, 1856, 63373, 382, 567, 27124, 198, 626, 27595, 99974, 467, 374, 264, 6992, 659, 27975, 36261, 6055, 6335, 889, 46303, 709, 14016, 369, 264, 5496, 13, 763, 279, 35446, 315, 832, 1778, 2447, 11, 264, 1912, 315, 26827, 18417, 279, 1566, 4857, 389, 264, 2763, 11, 279, 24113, 4783, 11, 505, 1694, 76993, 13, 3277, 99974, 467, 8111, 389, 6007, 311, 13738, 279, 22670, 11, 568, 374, 1903, 311, 1427, 46337, 13, 74347, 2162, 11, 813, 2380, 7926, 57859, 2911, 1389, 423, 1366, 818, 11, 60470, 11, 323, 28933, 1389, 94847, 1461, 369, 813, 12707, 11341, 627, 6251, 20659, 813, 2911, 527, 72524, 11, 99974, 467, 37350, 1124, 704, 315, 279, 3838, 13, 58951, 1124, 1855, 400, 11711, 11, 568, 21701, 1124, 1022, 520, 279, 24113, 4783, 11, 902, 374, 19371, 44221, 660, 323, 389, 279, 59818, 315, 18678, 13, 20263, 11, 872, 6691, 11, 16696, 311, 3009, 1461, 719, 304, 46604, 627, 644, 2015, 311, 17452, 872, 502, 6439, 11, 279, 2911, 1935, 389, 3838, 16862, 13, 4314, 2997, 264, 11401, 15034, 7086, 84224, 26, 264, 23855, 90441, 11, 1443, 23660, 26, 264, 5708, 70409, 11, 8529, 26, 323, 1443, 46125, 11, 459, 19077, 74926, 380, 13, 60470, 374, 44224, 311, 6381, 264, 13470, 369, 459, 8276, 2883, 13, 84224, 706, 311, 4686, 813, 14769, 369, 264, 11401, 1501, 13, 60470, 5829, 1077, 3130, 16862, 311, 1646, 304, 279, 13470, 11, 52913, 872, 13162, 1139, 8537, 44353, 65636, 375, 326, 6, 4748, 321, 8309, 1147, 389, 872, 14620, 11, 323, 84224, 10548, 709, 1701, 1063, 315, 1124, 369, 813, 1501, 627, 32, 5708, 3157, 10121, 1405, 8529, 374, 89382, 8647, 369, 99974, 467, 596, 5708, 71278, 287, 12716, 99974, 467, 311, 38339, 13, 1283, 38643, 13865, 311, 357, 525, 1022, 264, 33615, 64310, 315, 813, 61698, 2883, 11, 719, 14865, 13, 20263, 5039, 709, 520, 279, 24113, 4783, 54119, 950, 439, 568, 33291, 872, 2162, 323, 814, 3719, 3281, 275, 1088, 627, 26353, 33, 467, 61370, 1139, 279, 3363, 11, 8430, 1523, 323, 704, 13, 75247, 304, 279, 23855, 55043, 3830, 559, 519, 88, 6424, 11, 83750, 833, 287, 279, 1828, 1938, 304, 279, 10488, 13, 55106, 11, 813, 2911, 1935, 1461, 304, 1306, 1443, 46125, 14035, 1461, 11, 323, 568, 8638, 311, 1518, 279, 1917, 304, 264, 502, 3177, 627, 35212, 13060, 505, 24113, 4783, 1306, 814, 617, 682, 9087, 84224, 449, 813, 37862, 323, 60470, 449, 1077, 13470, 11, 279, 23855, 23756, 10800, 279, 99974, 1771, 323, 4885, 3201, 13, 28933, 706, 459, 4248, 15619, 3852, 11, 439, 1070, 374, 264, 3958, 37943, 27511, 323, 279, 24113, 4783, 374, 2080, 43024, 7120, 801, 11, 311, 1005, 813, 7126, 596, 61698, 7512, 627, 791, 3070, 1421, 9146, 872, 6012, 323, 12205, 11, 323, 617, 9687, 1268, 311, 3974, 810, 5042, 382, 567, 11514, 198, 12, 423, 370, 3520, 50532, 439, 29868, 99974, 467, 198, 12, 91162, 92897, 439, 20263, 99974, 467, 198, 12, 17360, 4341, 3383, 285, 439, 60470, 99974, 467, 198, 12, 86868, 76155, 1543, 439, 423, 1366, 818, 99974, 467, 198, 12, 6941, 60350, 28163, 439, 28933, 99974, 467, 198, 12, 4656, 13391, 258, 95183, 439, 84224, 198, 12, 26035, 1856, 63373, 439, 330, 2059, 23660, 702, 12, 11583, 3431, 921, 352, 8148, 439, 14253, 198, 12, 44458, 52294, 439, 8529, 198, 12, 95175, 74813, 439, 1443, 46125, 198, 12, 14594, 393, 28523, 439, 24051, 1432, 567, 77051, 198, 9241, 279, 18449, 2209, 574, 31555, 4036, 555, 23531, 13, 1952, 3477, 97780, 432, 10503, 8529, 20798, 11, 279, 4632, 10187, 264, 5573, 315, 220, 24, 4, 3196, 389, 220, 806, 8544, 11, 449, 459, 5578, 10959, 315, 220, 18, 13, 23, 14, 605, 13, 29607, 469, 9339, 315, 279, 10780, 8219, 9469, 1769, 6267, 11, 10768, 791, 4632, 60, 374, 16168, 264, 282, 481, 743, 304, 279, 5076, 3363, 13, 11699, 3446, 3250, 956, 5052, 304, 1561, 4356, 477, 2873, 12722, 9277, 304, 220, 2550, 15, 26, 433, 596, 539, 4062, 2695, 3847, 477, 8761, 4773, 472, 3403, 10246, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 1901, 278, 300, 38237, 76, 7141, 107584, 198, 57, 278, 300, 38237, 76, 7141, 107584, 374, 264, 14458, 304, 1901, 6181, 6406, 11, 43876, 627, 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 ]
[ 128000, 2, 4892, 10913, 20355, 198, 26287, 10913, 20355, 11, 5596, 315, 902, 527, 7170, 14183, 311, 439, 279, 17355, 36332, 11, 374, 264, 5654, 304, 279, 549, 815, 13, 1614, 315, 20355, 902, 17610, 315, 59139, 31276, 382, 567, 11346, 198, 791, 5654, 374, 11846, 311, 617, 1027, 23183, 555, 51607, 304, 220, 10005, 24, 719, 574, 539, 19073, 12715, 3156, 220, 10967, 16, 13, 7648, 315, 279, 15235, 1705, 1051, 315, 24113, 11, 6498, 11, 6063, 477, 85674, 66004, 13, 32499, 311, 1521, 61107, 420, 3158, 574, 1234, 279, 2585, 315, 5361, 17118, 3778, 39503, 627, 2028, 5654, 374, 832, 315, 279, 1614, 596, 1455, 9257, 304, 3878, 315, 13970, 26431, 11, 5526, 7829, 323, 7187, 20057, 13, 24191, 315, 420, 3158, 374, 304, 279, 16687, 593, 71, 12930, 13345, 902, 5727, 279, 16687, 593, 71, 12930, 11188, 902, 28555, 1555, 1561, 4356, 11, 20355, 11, 323, 23481, 13, 578, 18671, 3646, 961, 315, 420, 5654, 374, 77317, 311, 279, 10411, 555, 279, 16642, 36332, 315, 1561, 4356, 1614, 13, 32255, 11, 1521, 13918, 527, 3967, 439, 279, 36047, 350, 4918, 13, 578, 4330, 17355, 36332, 31276, 527, 2162, 311, 17715, 220, 5245, 11, 931, 1274, 4332, 4315, 1690, 2678, 25861, 323, 279, 47967, 13, 578, 810, 18561, 5789, 11, 1778, 439, 16333, 5065, 11, 8283, 11, 14821, 323, 4892, 69859, 93988, 11, 527, 1405, 1455, 315, 279, 5654, 596, 7187, 6439, 382, 567, 7817, 198, 26287, 10913, 20355, 706, 459, 37492, 315, 82088, 323, 100014, 11, 304, 5369, 311, 1202, 13042, 20057, 13, 578, 5654, 374, 10213, 16700, 788, 439, 433, 374, 7559, 304, 279, 18671, 961, 315, 279, 99027, 19149, 2134, 13, 2684, 527, 2478, 3544, 9919, 304, 4892, 10913, 20355, 11, 1455, 315, 1202, 7187, 3974, 304, 9333, 66841, 82, 477, 6424, 18143, 320, 8539, 7607, 1990, 220, 20, 11, 931, 12, 868, 11, 931, 8, 1109, 304, 3544, 9919, 627, 2028, 5654, 374, 1101, 279, 1614, 323, 5426, 7808, 304, 279, 5788, 315, 5933, 6962, 439, 433, 23874, 389, 264, 3544, 6962, 16946, 11, 961, 315, 279, 2947, 5997, 355, 1443, 1604, 382, 567, 93988, 323, 9919, 271, 14711, 93988, 198, 26287, 10913, 20355, 17610, 315, 220, 717, 31276, 627, 644, 84398, 2015, 1884, 31276, 527, 512, 12, 60929, 198, 12, 14821, 198, 12, 8283, 198, 12, 19326, 198, 12, 16333, 5065, 198, 12, 9995, 414, 198, 12, 4892, 69859, 198, 12, 30427, 198, 12, 43089, 198, 12, 54231, 198, 12, 23126, 14361, 198, 12, 9323, 1432, 14711, 38373, 198, 43, 33481, 9919, 3196, 389, 7187, 320, 5479, 220, 20, 997, 91, 4409, 692, 765, 40629, 765, 6406, 256, 9432, 91, 97903, 765, 44889, 765, 57236, 9432, 91, 3314, 9304, 765, 220, 2983, 11, 10718, 257, 765, 14821, 256, 9432, 91, 10785, 12841, 94420, 265, 220, 765, 220, 1272, 11, 19423, 257, 765, 82739, 68495, 220, 9432, 91, 13926, 403, 220, 765, 220, 1682, 11, 12166, 257, 765, 16333, 5065, 9432, 91, 32595, 15989, 415, 765, 220, 914, 11, 13679, 257, 765, 82739, 68495, 220, 9432, 91, 40491, 7085, 10481, 262, 765, 220, 1114, 11, 23411, 257, 765, 19326, 765, 1432, 567, 11930, 198, 3947, 527, 264, 2860, 315, 220, 4578, 586, 2978, 27536, 304, 420, 3158, 11, 304, 902, 527, 220, 4278, 1579, 8853, 11, 220, 10288, 6278, 8853, 323, 220, 14777, 36256, 8853, 382, 14711, 75898, 198, 12, 40491, 7085, 10481, 3907, 315, 20355, 198, 12, 27156, 49565, 3907, 198, 12, 16076, 42714, 3907, 315, 20355, 198, 12, 16333, 5065, 9304, 198, 12, 44235, 2630, 3907, 315, 20355, 198, 12, 20355, 9304, 315, 12053, 198, 12, 20355, 3314, 3907, 271, 17205, 23978, 304, 433, 278, 1233, 271, 567, 18707, 198, 26287, 10913, 20355, 706, 912, 3682, 10034, 65003, 13, 4452, 11, 20355, 3314, 3907, 374, 7559, 304, 14821, 6406, 13, 1666, 961, 315, 279, 6295, 18165, 15217, 279, 3907, 706, 264, 11191, 29703, 34477, 389, 420, 5654, 11, 304, 3878, 315, 36027, 4455, 323, 29135, 382, 14711, 11842, 66681, 6721, 10034, 198, 12, 13926, 403, 11511, 10453, 5153, 11579, 6830, 22325, 315, 279, 19895, 84086, 198, 12, 3314, 9304, 3165, 12732, 11579, 6830, 22325, 315, 279, 800, 13, 12140, 44427, 1432, 14711, 15013, 9130, 4435, 11378, 198, 644, 6287, 1475, 7474, 11, 4987, 13926, 403, 10187, 279, 15013, 9130, 4435, 11378, 13, 10180, 832, 7895, 4311, 323, 872, 3070, 3697, 505, 2212, 279, 3224, 323, 1917, 2586, 311, 20874, 323, 9618, 349, 13, 578, 3363, 57358, 9214, 315, 15613, 2391, 420, 4261, 315, 892, 13, 578, 3953, 527, 43087, 389, 27290, 15603, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 15219, 71, 582, 198, 17117, 71, 582, 320, 44297, 71722, 25, 510, 96295, 587, 60, 90900, 26, 20522, 13145, 25, 8560, 71, 582, 8, 374, 264, 79245, 304, 279, 362, 799, 9476, 304, 18561, 9822, 382, 567, 40629, 198, 91, 9941, 692, 765, 10466, 13, 765, 20903, 4, 281, 5973, 13, 9432, 91, 97903, 765, 11556, 765, 61258, 9432, 91, 220, 5162, 23, 692, 765, 220, 21125, 220, 765, 2001, 996, 9432, 91, 220, 4468, 20, 692, 765, 220, 13074, 220, 765, 25173, 16, 13, 4331, 4, 220, 9432, 91, 220, 3753, 17, 692, 765, 220, 17112, 220, 765, 25173, 16, 13, 2614, 4, 220, 9432, 91, 220, 2550, 15, 692, 765, 220, 12226, 220, 765, 25173, 16, 13, 2495, 4, 220, 9432, 91, 220, 2550, 24, 692, 765, 220, 18017, 220, 765, 489, 17, 13, 2318, 4, 220, 9432, 91, 220, 1049, 24, 692, 765, 220, 20325, 220, 765, 489, 17, 13, 1721, 4, 220, 9432, 91, 220, 679, 19, 692, 765, 220, 17252, 220, 765, 489, 18, 13, 605, 4, 220, 9432, 91, 220, 2366, 15, 692, 765, 220, 23411, 220, 765, 489, 16, 13, 3391, 4, 220, 9432, 91, 8922, 25, 2006, 49840, 765, 415, 765, 260, 765, 1432, 567, 19758, 1385, 198, 37220, 4846, 17352, 11, 480, 14081, 569, 5124, 344, 37489, 11, 574, 264, 9322, 304, 279, 8753, 13621, 6355, 315, 220, 1049, 22, 719, 5675, 279, 6355, 627, 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 ]
[ 128000, 2, 5165, 9323, 315, 7573, 11, 15347, 11, 323, 61855, 96880, 348, 1708, 20176, 34179, 12604, 198, 31912, 9323, 315, 7573, 11, 15347, 11, 323, 61855, 96880, 348, 1708, 20176, 34179, 12604, 510, 4468, 24, 60, 358, 9150, 220, 5833, 374, 264, 6560, 23791, 2383, 1162, 11, 18815, 22498, 55309, 382, 567, 46083, 198, 2149, 20176, 34179, 12604, 574, 264, 4562, 315, 264, 8013, 17293, 25812, 15360, 902, 51578, 3878, 323, 4787, 369, 7487, 4028, 279, 5064, 13, 578, 5165, 9323, 315, 7573, 11, 15347, 11, 323, 61855, 96880, 10711, 430, 7969, 1555, 279, 22498, 9306, 1051, 539, 1694, 13468, 13, 1708, 20176, 34179, 12604, 4934, 311, 1304, 1063, 8420, 48832, 13, 578, 8420, 433, 1047, 4183, 1047, 1120, 3719, 11552, 3697, 382, 567, 89662, 198, 52182, 9973, 1251, 29433, 5762, 430, 422, 264, 11552, 1047, 1027, 39764, 11, 1524, 3582, 1708, 20176, 34179, 12604, 1047, 2646, 27023, 449, 279, 11552, 1603, 11, 1243, 433, 1288, 617, 13468, 279, 45530, 10537, 369, 11850, 37673, 32737, 13, 1442, 1070, 574, 912, 39764, 11552, 11, 279, 19683, 374, 1234, 912, 29672, 13, 48698, 7612, 6929, 430, 374, 3451, 82, 27781, 398, 2867, 323, 12742, 24535, 29524, 31047, 264, 11552, 4033, 922, 264, 6661, 374, 539, 18479, 28137, 315, 18324, 11, 323, 16632, 45391, 22498, 55309, 4819, 304, 10652, 374, 539, 3403, 13, 75311, 7246, 374, 4460, 627, 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 ]
[ 128000, 2, 350, 2227, 78, 33718, 198, 51, 2227, 78, 33718, 320, 16381, 220, 1313, 3297, 220, 4468, 22, 8, 374, 459, 54423, 1122, 6721, 3831, 1543, 43940, 323, 5912, 11751, 519, 311, 279, 4435, 596, 27191, 478, 2418, 10937, 13, 1283, 574, 264, 98491, 11, 25270, 4871, 279, 1948, 5899, 11, 304, 3116, 24871, 1667, 505, 220, 1049, 20, 311, 220, 1049, 23, 382, 567, 27191, 1543, 7076, 198, 44, 1468, 574, 220, 508, 994, 568, 3940, 4967, 323, 27260, 304, 3831, 1543, 43682, 323, 2949, 220, 17, 1667, 1047, 2834, 813, 5426, 59284, 13, 3296, 220, 1049, 20, 568, 1047, 3719, 39764, 439, 832, 315, 279, 1917, 596, 6522, 28650, 449, 59136, 34136, 304, 279, 4435, 27191, 1543, 11098, 12765, 15870, 13, 1283, 574, 18719, 311, 279, 4435, 596, 27191, 478, 2418, 41402, 323, 1903, 279, 1620, 304, 220, 1049, 20, 13, 18185, 1694, 304, 279, 468, 9691, 1620, 389, 3116, 24871, 25975, 505, 220, 1049, 20, 311, 220, 1049, 23, 11, 568, 1550, 539, 1304, 279, 6041, 1584, 5352, 369, 279, 220, 1049, 24, 1567, 11, 4619, 1694, 2728, 279, 1176, 21137, 7858, 13, 1283, 14921, 420, 439, 813, 8706, 41698, 24797, 4967, 439, 264, 3831, 1543, 13, 763, 279, 220, 1049, 22, 1620, 568, 63108, 813, 293, 75669, 323, 420, 6197, 311, 813, 56766, 2035, 11, 8051, 568, 574, 2103, 304, 279, 1620, 627, 51, 2227, 78, 2834, 6566, 220, 18, 315, 279, 25950, 37, 4435, 11098, 5762, 304, 386, 89492, 11, 70606, 389, 6250, 220, 605, 11, 220, 679, 16, 13, 350, 2227, 78, 1101, 2834, 279, 54423, 1122, 78641, 84, 27191, 1543, 5377, 389, 6841, 220, 1544, 11, 220, 679, 15, 627, 1548, 374, 279, 7126, 315, 21102, 54423, 1122, 19794, 2851, 44312, 33718, 382, 567, 19758, 7576, 198, 12, 20685, 266, 1389, 220, 9588, 4194, 7501, 320, 21469, 4194, 21807, 340, 12, 36358, 3577, 1389, 220, 11057, 4194, 7501, 320, 19447, 4194, 21807, 340, 12, 15371, 36069, 1389, 220, 16596, 4194, 7501, 320, 25809, 4194, 21807, 340, 12, 735, 797, 26251, 1389, 220, 868, 4194, 7501, 320, 1644, 4194, 21807, 8, 865, 220, 20, 2004, 5981, 927, 220, 21, 13, 410, 37356, 320, 777, 4194, 728, 220, 23, 115235, 8, 304, 220, 2148, 13, 2946, 6622, 320, 1049, 23, 27191, 1543, 7445, 11378, 24067, 10517, 44394, 8, 320, 10343, 13896, 6758, 20, 933, 12, 35236, 1590, 315, 94634, 320, 39, 3035, 2482, 3412, 8, 1389, 220, 1049, 4194, 7501, 320, 18495, 4194, 21807, 8, 304, 1855, 1450, 369, 220, 6028, 13, 717, 6622, 320, 1049, 20, 4435, 596, 27191, 478, 2418, 8, 320, 35627, 1917, 3335, 340, 12, 7572, 3344, 3258, 1389, 220, 1041, 4194, 7501, 320, 8610, 4194, 21807, 8, 49499, 4047, 6920, 369, 220, 508, 76, 3388, 323, 220, 14206, 4194, 7501, 320, 2636, 4194, 21807, 8, 95512, 11161, 369, 220, 508, 76, 3388, 304, 220, 1627, 13, 868, 6622, 320, 1049, 21, 4435, 596, 27191, 478, 2418, 11, 1912, 220, 19, 8, 320, 10343, 13896, 6758, 21, 2595, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 101945, 354, 969, 198, 104907, 354, 969, 320, 32845, 13464, 95805, 416, 25, 101690, 13337, 22911, 8, 374, 264, 88264, 40853, 627, 1966, 5651, 220, 1627, 14, 1544, 11, 220, 6393, 16, 11, 549, 21127, 58067, 23980, 3201, 220, 5894, 8409, 1302, 315, 279, 8689, 315, 101945, 587, 6217, 11, 101945, 354, 969, 11, 10044, 228, 269, 75, 26261, 323, 16852, 360, 73, 505, 279, 33889, 315, 12639, 73, 3141, 53191, 323, 735, 9700, 560, 627, 2181, 1253, 8464, 311, 512, 12, 1901, 3696, 402, 9509, 101945, 354, 969, 320, 16381, 220, 7285, 18, 705, 88264, 4632, 323, 12707, 7690, 323, 4264, 18688, 198, 12, 29988, 5169, 328, 6321, 7886, 12, 104907, 354, 969, 320, 16381, 220, 4468, 16, 705, 88264, 282, 20099, 271, 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 ]
[ 128000, 2, 89625, 71777, 198, 791, 89625, 71777, 374, 459, 3778, 82082, 7091, 7200, 11, 14454, 555, 38897, 80873, 13827, 3059, 5888, 323, 19036, 8560, 582, 5169, 304, 220, 679, 16, 323, 3196, 304, 9853, 12167, 13, 578, 7200, 58273, 279, 74089, 11, 279, 89937, 11, 279, 55957, 11, 29950, 41785, 613, 11, 3235, 449, 19833, 7091, 323, 20884, 7091, 439, 34453, 382, 567, 11346, 198, 44, 599, 292, 71777, 574, 18538, 304, 220, 679, 16, 1234, 279, 836, 5348, 1897, 295, 71777, 555, 4885, 38897, 80873, 13827, 3059, 5888, 11, 11824, 11730, 285, 323, 19036, 8560, 582, 5169, 994, 814, 3940, 2133, 311, 5039, 3871, 304, 279, 9853, 12167, 3158, 13, 578, 2380, 3010, 2322, 51075, 800, 2469, 56936, 323, 27524, 480, 472, 2234, 1306, 264, 1501, 304, 56750, 13, 220, 578, 7200, 2231, 1202, 17755, 659, 2442, 15621, 3335, 704, 304, 220, 679, 18, 323, 8738, 30240, 23354, 304, 279, 16642, 7188, 4731, 6237, 11, 902, 6197, 311, 89625, 71777, 8736, 369, 279, 6498, 7091, 7200, 279, 89937, 13, 10995, 2851, 323, 1080, 36927, 315, 80237, 80482, 22293, 34881, 36970, 33555, 3916, 9778, 11096, 279, 7200, 323, 814, 18661, 24151, 304, 9853, 12167, 323, 22917, 11, 5423, 304, 279, 19833, 7091, 323, 82082, 57105, 16451, 627, 644, 220, 679, 19, 11, 279, 7200, 11136, 872, 51498, 8176, 11, 43286, 10951, 11, 902, 574, 6004, 389, 80237, 80482, 22293, 13, 5348, 1897, 295, 71777, 1051, 1243, 42184, 555, 21820, 88, 6634, 4923, 57504, 6634, 596, 4846, 69046, 11, 33652, 798, 3344, 1039, 68, 11, 889, 706, 264, 7200, 2663, 5348, 5447, 11, 6522, 1124, 311, 312, 13781, 5694, 439, 279, 89625, 36824, 11777, 11, 1306, 832, 315, 872, 6931, 11936, 11, 311, 9778, 52945, 389, 264, 6651, 315, 279, 1403, 5144, 11, 89625, 71777, 13, 578, 7200, 14333, 6625, 2450, 449, 279, 4984, 315, 43286, 10951, 11, 323, 91713, 279, 2326, 323, 4606, 3892, 3115, 927, 279, 1828, 1403, 1667, 627, 644, 220, 679, 20, 11, 279, 7200, 596, 4948, 4984, 11, 21882, 315, 816, 478, 727, 686, 11, 574, 9124, 555, 4997, 8215, 857, 6985, 304, 813, 38906, 5657, 14356, 627, 644, 220, 679, 23, 11, 279, 7200, 6004, 578, 8681, 22435, 11, 9124, 555, 31359, 52627, 847, 88, 520, 813, 14356, 304, 7054, 19934, 41560, 11, 7188, 323, 520, 80237, 80482, 22293, 6, 502, 14356, 14, 87304, 304, 6460, 9853, 12167, 627, 644, 220, 2366, 17, 11, 872, 18172, 8176, 11, 16867, 4740, 6200, 363, 11, 574, 6004, 382, 567, 11997, 5814, 271, 14711, 87823, 198, 91, 220, 765, 89625, 71777, 415, 765, 2876, 1952, 9587, 504, 765, 445, 48362, 11515, 765, 220, 679, 18, 9432, 91, 220, 765, 43286, 10951, 415, 765, 80237, 80482, 22293, 11, 52871, 22293, 765, 445, 48362, 18807, 765, 220, 679, 19, 9432, 91, 220, 765, 21882, 315, 816, 478, 727, 686, 765, 80237, 80482, 22293, 338, 765, 445, 48362, 6550, 765, 220, 679, 20, 9432, 91, 220, 765, 578, 8681, 22435, 220, 765, 80237, 80482, 22293, 338, 765, 445, 48362, 15231, 765, 220, 679, 23, 9432, 91, 220, 765, 16867, 4740, 6200, 363, 220, 765, 792, 765, 17540, 415, 765, 220, 2366, 17, 765, 1432, 14711, 47422, 323, 19613, 82, 198, 91, 220, 765, 330, 5618, 6914, 2206, 14521, 1, 504, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 18, 9432, 91, 220, 765, 330, 47, 53377, 426, 19256, 4072, 11730, 1, 3909, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 24, 9432, 91, 220, 765, 330, 40, 3053, 956, 47660, 5250, 14576, 389, 264, 45805, 9119, 1, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 24, 9432, 91, 220, 765, 330, 2181, 596, 480, 13767, 2893, 19122, 1, 504, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 24, 765, 1432, 14711, 71181, 28785, 198, 91, 89625, 71777, 611, 43286, 10951, 320, 34, 395, 11, 13620, 8, 765, 80237, 80482, 22293, 765, 445, 48362, 11515, 765, 22435, 765, 1432, 567, 17384, 271, 14711, 9303, 198, 12, 38897, 80873, 55934, 3059, 5888, 1389, 3063, 47196, 11, 17418, 11, 320, 679, 16, 4235, 29844, 340, 12, 51075, 800, 2469, 55485, 1389, 17418, 11, 25695, 47196, 320, 679, 16, 4235, 29844, 340, 12, 34881, 36970, 33555, 3916, 1389, 22253, 11, 2942, 11, 17418, 11, 47196, 11, 17834, 414, 483, 320, 679, 18, 4235, 29844, 3707, 14711, 33600, 198, 12, 27524, 480, 472, 2234, 1389, 47389, 11, 84849, 11, 31591, 320, 679, 17, 4235, 2366, 15, 340, 12, 19036, 8560, 582, 5169, 1389, 96665, 3554, 52066, 320, 679, 16, 4235, 679, 24, 26, 15902, 340, 12, 11824, 11730, 285, 1389, 47389, 320, 679, 16, 4235, 679, 17, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 5348, 82328, 198, 14755, 82328, 374, 459, 3778, 13076, 9501, 7200, 14454, 555, 7447, 3502, 20039, 54172, 7957, 74447, 546, 770, 304, 220, 679, 23, 13, 20817, 304, 23640, 4409, 11, 279, 7200, 3940, 704, 439, 74447, 546, 770, 596, 13839, 2447, 1603, 24050, 1139, 264, 3116, 56964, 7200, 13, 5348, 82328, 6004, 1202, 17755, 8176, 11, 11166, 1791, 2617, 17952, 11, 4669, 220, 508, 27156, 41785, 2440, 304, 220, 2366, 15, 382, 567, 11346, 198, 29184, 74447, 546, 770, 3940, 5348, 82328, 304, 220, 679, 23, 11, 449, 279, 17074, 3839, 330, 65454, 82, 31886, 7935, 1, 1694, 279, 1176, 5609, 5439, 369, 279, 2447, 13, 578, 3116, 77740, 659, 2442, 15621, 17074, 17401, 574, 5439, 304, 264, 2305, 26, 2768, 279, 4984, 315, 279, 17401, 11, 74447, 546, 770, 35105, 264, 3974, 7200, 311, 2804, 520, 264, 2380, 30609, 7364, 13, 578, 14975, 369, 279, 7200, 596, 17755, 8176, 11, 11166, 1791, 2617, 17952, 11, 3940, 5246, 1306, 279, 4984, 315, 279, 17401, 25, 279, 14975, 1920, 315, 279, 3335, 3952, 264, 1060, 323, 264, 4376, 323, 74447, 546, 770, 10887, 682, 315, 279, 24198, 389, 279, 8176, 13, 578, 3335, 574, 9124, 555, 95141, 29306, 13, 23548, 279, 3335, 596, 9954, 11, 5348, 82328, 8667, 311, 279, 2440, 220, 508, 27156, 41785, 11, 902, 6004, 279, 3335, 389, 6250, 220, 19, 11, 220, 2366, 15, 627, 644, 6790, 220, 2366, 16, 11, 5348, 82328, 7376, 279, 51498, 3335, 11, 14285, 3998, 50831, 11, 323, 6004, 279, 4731, 2835, 369, 279, 330, 50817, 306, 28901, 953, 1210, 12220, 420, 892, 11, 279, 7200, 6244, 264, 2380, 6710, 13, 763, 5651, 220, 2366, 17, 11, 279, 2447, 6004, 279, 3254, 330, 86752, 304, 12334, 1, 505, 279, 3335, 13, 1952, 5887, 220, 22, 11, 220, 2366, 17, 11, 10315, 8080, 85170, 279, 2132, 3254, 505, 279, 3335, 11, 330, 21364, 4150, 953, 1359, 439, 1664, 1202, 24442, 4731, 2835, 13, 88365, 323, 46036, 555, 95141, 29306, 11, 279, 3335, 574, 6004, 389, 5887, 220, 1682, 11, 220, 2366, 17, 4669, 220, 508, 27156, 41785, 627, 644, 220, 2366, 18, 11, 279, 7200, 17626, 1139, 264, 3116, 56964, 449, 279, 28286, 315, 69046, 44328, 3320, 37645, 13, 1952, 6664, 220, 1544, 11, 220, 2366, 18, 11, 279, 7200, 6004, 279, 3254, 11, 330, 32578, 2266, 567, 57357, 1742, 198, 14755, 82328, 596, 18273, 1742, 706, 1027, 7633, 439, 13076, 9501, 13, 578, 14242, 389, 11166, 1791, 2617, 17952, 574, 7863, 311, 279, 4375, 315, 38166, 55692, 452, 6341, 323, 4359, 69, 17927, 11, 449, 2563, 370, 655, 33780, 5181, 4194, 38096, 292, 21414, 75951, 23524, 279, 3335, 439, 330, 64, 33689, 3187, 315, 5292, 35534, 323, 85684, 4359, 69, 17927, 24863, 1210, 10771, 311, 30534, 40623, 315, 2360, 9785, 11070, 287, 11, 279, 7200, 27741, 505, 4359, 69, 17927, 323, 2206, 589, 1982, 36922, 11, 439, 1664, 439, 469, 30042, 10578, 315, 38166, 55692, 452, 6341, 11, 20214, 11, 323, 95324, 96633, 13, 578, 7200, 596, 1023, 34453, 2997, 30505, 304, 82869, 323, 220, 2550, 15, 82, 43162, 7477, 382, 567, 17384, 198, 12, 7957, 74447, 546, 770, 1389, 47196, 11, 24198, 320, 679, 23, 4235, 29844, 340, 12, 26775, 818, 3320, 29158, 1389, 17418, 320, 2366, 17, 4235, 29844, 340, 12, 16645, 480, 63975, 1389, 52389, 3213, 11, 47196, 320, 2366, 17, 4235, 29844, 340, 12, 44328, 3320, 37645, 1389, 47389, 320, 2366, 18, 4235, 29844, 3707, 567, 11997, 5814, 198, 32477, 28785, 198, 12, 11166, 1791, 2617, 17952, 320, 2366, 15, 340, 12, 14285, 3998, 50831, 320, 2366, 17, 696, 9377, 82, 198, 12, 5348, 82328, 320, 679, 23, 696, 50, 50703, 198, 12, 330, 12792, 2617, 20849, 1, 320, 2366, 15, 340, 12, 330, 47, 359, 16409, 5135, 1, 320, 2366, 15, 340, 12, 330, 39, 797, 7439, 1, 320, 2366, 15, 340, 12, 330, 86752, 304, 12334, 1, 320, 2366, 17, 340, 12, 330, 21364, 4150, 953, 1, 320, 2366, 17, 340, 12, 330, 32578, 1, 320, 2366, 18, 696, 25099, 6946, 198, 12, 330, 65454, 82, 31886, 7935, 1, 320, 679, 23, 340, 12, 330, 12792, 2617, 20849, 1, 320, 2366, 15, 340, 12, 330, 50817, 306, 28901, 953, 1, 320, 2366, 16, 340, 12, 330, 86752, 304, 12334, 1, 320, 2366, 17, 340, 12, 330, 21364, 4150, 953, 1, 320, 2366, 17, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 5629, 3475, 198, 5451, 3475, 374, 264, 18884, 11775, 555, 29988, 6347, 50930, 11, 279, 1176, 2363, 304, 279, 4101, 82219, 315, 279, 15344, 13, 1102, 3649, 279, 1176, 1060, 315, 28263, 329, 894, 315, 23754, 77200, 596, 4967, 439, 264, 2199, 315, 56927, 543, 382, 567, 27124, 17219, 198, 12705, 1279, 315, 279, 15344, 374, 743, 304, 279, 56927, 543, 276, 1917, 315, 50930, 596, 1054, 34139, 315, 279, 33199, 434, 863, 323, 1054, 791, 15695, 371, 1147, 863, 4101, 14, 2118, 791, 15695, 371, 1147, 863, 6, 41376, 1441, 13, 578, 46684, 374, 28263, 329, 894, 315, 23754, 77200, 11, 264, 3995, 3828, 889, 9221, 279, 1176, 8954, 311, 5542, 439, 264, 47709, 11, 5899, 1667, 1306, 24150, 315, 2140, 978, 33954, 287, 24150, 1176, 14610, 433, 5897, 13, 578, 11775, 14242, 279, 1176, 1060, 315, 28263, 329, 894, 596, 4967, 11, 2391, 902, 1364, 374, 1193, 11928, 389, 264, 47027, 661, 8197, 13, 28263, 329, 894, 2011, 14993, 311, 12391, 11937, 28390, 311, 44439, 4967, 7491, 24100, 509, 263, 315, 52166, 543, 323, 1077, 12637, 2199, 5542, 5633, 382, 567, 27124, 12399, 198, 644, 420, 2363, 11, 28263, 329, 894, 315, 23754, 77200, 11, 3967, 439, 28263, 11, 12580, 264, 11292, 1060, 8469, 311, 3719, 264, 2199, 994, 10425, 24100, 509, 263, 706, 2231, 1077, 389, 47027, 13, 3005, 14035, 264, 1648, 311, 37586, 449, 1694, 304, 47027, 323, 4560, 311, 4287, 1077, 323, 4585, 11937, 779, 10425, 24100, 509, 263, 690, 29251, 627, 791, 1176, 82219, 315, 279, 15344, 2363, 10975, 315, 28263, 596, 4465, 311, 3719, 264, 1176, 1060, 2199, 889, 374, 11928, 323, 12020, 18813, 13, 6104, 279, 7016, 315, 56927, 543, 1253, 617, 1027, 5614, 311, 12617, 10026, 22526, 11, 279, 8903, 315, 16661, 1139, 264, 36342, 8762, 8106, 18911, 1690, 73635, 311, 279, 46684, 13, 28263, 374, 11928, 1139, 279, 30336, 2199, 2068, 13, 4452, 11, 1364, 374, 9277, 389, 47027, 369, 279, 1176, 1060, 13, 3005, 374, 9770, 311, 3568, 449, 305, 6795, 505, 1077, 682, 1474, 1604, 26081, 11, 2737, 92633, 5382, 4477, 389, 1077, 14620, 11, 279, 19814, 315, 1077, 64028, 11, 323, 21934, 505, 279, 4967, 7491, 13, 2052, 279, 1418, 11, 28263, 374, 279, 1176, 8954, 30447, 19969, 311, 3719, 264, 47709, 2949, 279, 9478, 13, 46982, 279, 11775, 11, 1070, 374, 279, 3596, 2922, 324, 10789, 3488, 315, 3508, 279, 4967, 7491, 690, 1095, 1077, 3136, 311, 5542, 13, 1115, 374, 1606, 568, 11, 1093, 1690, 11, 1587, 539, 4510, 430, 3278, 649, 6273, 3026, 304, 12896, 13, 6104, 682, 420, 374, 2133, 389, 11, 264, 6367, 4270, 5739, 37167, 1077, 449, 21258, 627, 4599, 28263, 374, 3794, 5644, 369, 1077, 1176, 1938, 315, 4967, 11, 1364, 21879, 459, 16907, 502, 8352, 25, 459, 17235, 1579, 4367, 40331, 323, 264, 421, 295, 11046, 369, 57463, 287, 13, 2468, 430, 892, 11, 279, 40331, 323, 264, 421, 295, 11046, 574, 653, 2715, 36270, 3734, 555, 1274, 315, 279, 5190, 6989, 13, 2468, 5209, 84028, 53268, 892, 11, 1364, 1101, 21879, 264, 8147, 43100, 1082, 293, 7828, 505, 264, 26454, 8352, 2427, 1553, 627, 85699, 329, 894, 374, 653, 1003, 3690, 315, 1694, 264, 5333, 13, 13538, 14836, 311, 279, 1176, 87117, 1306, 1077, 19163, 520, 5590, 11, 1364, 4442, 1139, 264, 8679, 11, 19301, 311, 11415, 4856, 1109, 10477, 1077, 17435, 13797, 13, 3005, 5415, 11, 330, 8100, 574, 264, 3828, 26, 1364, 1047, 4400, 311, 387, 51975, 315, 11, 323, 814, 1047, 2731, 4048, 430, 1176, 3245, 1210, 3005, 270, 99696, 1077, 19689, 520, 279, 13305, 889, 62507, 1534, 1077, 3130, 4972, 311, 1077, 19163, 323, 14896, 311, 11415, 279, 2144, 430, 1364, 574, 264, 3828, 11, 323, 1364, 574, 264, 38490, 627, 85699, 329, 894, 55406, 17231, 552, 13, 4740, 44114, 430, 622, 24568, 315, 14637, 19149, 323, 813, 4885, 1051, 45647, 1176, 1060, 6959, 11, 1364, 711, 1142, 14135, 323, 3940, 3352, 16608, 279, 52473, 13, 3005, 1101, 28533, 279, 13305, 15716, 1364, 1766, 1124, 48389, 3885, 13, 4275, 33383, 11, 1101, 3967, 439, 66549, 311, 813, 4885, 320, 54228, 279, 24417, 2199, 304, 279, 3925, 315, 6959, 8, 9221, 1077, 1888, 4333, 439, 1664, 439, 1077, 25438, 13, 578, 1023, 1176, 4771, 6959, 27115, 4287, 28263, 320, 300, 1364, 374, 3967, 311, 1077, 4885, 323, 3070, 8, 439, 1364, 82060, 1124, 505, 279, 17231, 552, 382, 567, 25848, 2053, 198, 791, 4101, 374, 8272, 555, 5874, 320, 1049, 15, 705, 328, 999, 320, 1049, 16, 705, 323, 21270, 23844, 320, 1049, 17, 4390, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 80092, 331, 45447, 709, 336, 4749, 68, 198, 47, 1919, 331, 45447, 709, 336, 4749, 68, 374, 264, 9606, 315, 60981, 304, 279, 3070, 80092, 331, 21825, 114405, 627, 2181, 374, 1766, 304, 98792, 11, 11650, 5545, 315, 279, 54932, 11, 8560, 41978, 11, 52543, 90929, 11, 95104, 11, 323, 11000, 69894, 627, 37220, 5933, 71699, 527, 21147, 11427, 12930, 11, 42129, 51172, 477, 35148, 3280, 750, 14739, 477, 49886, 3428, 1974, 16763, 1974, 11, 323, 75568, 80744, 33096, 288, 627, 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 ]
[ 128000, 2, 3907, 5955, 369, 21023, 323, 279, 17979, 198, 791, 3907, 5955, 369, 21023, 323, 279, 17979, 320, 52, 95407, 8, 374, 264, 2536, 28926, 13042, 4219, 315, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 13, 578, 9266, 374, 1234, 279, 8410, 315, 279, 23270, 4900, 369, 11988, 8471, 13, 578, 549, 95407, 374, 5131, 67512, 520, 279, 393, 3202, 38571, 4871, 279, 393, 3202, 9304, 315, 31966, 24549, 627, 791, 549, 95407, 18939, 5370, 4455, 4871, 323, 4994, 279, 12374, 13, 1952, 6287, 220, 1682, 11, 220, 679, 19, 11, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 1555, 549, 95407, 91670, 279, 364, 47, 3042, 598, 526, 5277, 9265, 17030, 48869, 309, 44957, 6, 10292, 311, 73645, 362, 359, 269, 304, 279, 393, 3202, 38571, 13, 578, 549, 95407, 1101, 41963, 36910, 279, 9974, 12374, 17979, 19961, 1475, 7552, 382, 567, 11346, 198, 33, 3178, 83582, 328, 5859, 11, 264, 8792, 13042, 2547, 11, 574, 17057, 304, 220, 4468, 19, 13, 9636, 279, 13042, 2547, 1051, 2204, 13042, 5315, 25, 63715, 3042, 12825, 352, 11, 21058, 343, 445, 52206, 320, 64, 22291, 523, 10020, 1912, 705, 20287, 647, 21058, 343, 11, 426, 10018, 735, 14075, 276, 11, 432, 2159, 21575, 11, 59129, 17366, 11, 323, 279, 393, 3791, 30704, 350, 38815, 13, 578, 7471, 315, 70950, 83582, 328, 5859, 3940, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 627, 791, 41333, 11050, 8410, 320, 34, 5989, 8, 574, 5343, 304, 279, 12374, 6070, 2391, 279, 3907, 1050, 24844, 9878, 304, 220, 4468, 21, 13, 578, 9886, 315, 356, 5989, 3063, 311, 279, 5216, 315, 13042, 7620, 505, 264, 16287, 12374, 5089, 13, 3075, 1924, 323, 7620, 1051, 4613, 304, 279, 9886, 315, 279, 5274, 627, 2409, 279, 67599, 315, 279, 3907, 4900, 596, 8410, 7365, 2360, 13, 220, 21, 11, 274, 13, 220, 3753, 15, 11, 279, 41333, 11050, 8410, 574, 28379, 311, 8410, 279, 3907, 5955, 369, 41333, 23298, 320, 52, 95407, 8, 389, 6664, 220, 16, 11, 220, 3753, 15, 13, 1102, 574, 304, 220, 3753, 22, 430, 5274, 574, 28379, 311, 3907, 5955, 369, 21023, 323, 279, 17979, 2391, 279, 312, 24844, 3197, 13, 34496, 13042, 5315, 1051, 1101, 3779, 1234, 549, 95407, 2391, 430, 892, 13, 8876, 1243, 11, 279, 5274, 617, 64238, 2204, 93990, 323, 312, 24844, 927, 279, 3347, 1667, 382, 567, 41333, 5315, 198, 791, 3907, 5955, 369, 21023, 323, 279, 17979, 374, 24306, 315, 5370, 13042, 5315, 323, 11351, 58394, 389, 2204, 44948, 13, 578, 2768, 5315, 323, 11351, 527, 3697, 315, 279, 549, 95407, 627, 33, 3178, 83582, 328, 5859, 11, 34833, 3967, 439, 4673, 23306, 27430, 39049, 276, 11, 374, 279, 4033, 9302, 19071, 1912, 1234, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 11, 19294, 26522, 292, 3907, 315, 279, 26363, 13, 578, 1912, 617, 2834, 5370, 43682, 2737, 279, 220, 679, 19, 220, 18, 35, 8761, 19354, 14130, 17057, 555, 279, 6011, 315, 11847, 323, 18955, 16607, 198, 15000, 1065, 801, 374, 279, 4033, 7200, 315, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 11, 19294, 26522, 292, 3907, 315, 279, 26363, 76978, 315, 41534, 4236, 323, 12374, 13820, 627, 47308, 277, 747, 4657, 30704, 53204, 374, 279, 4033, 15612, 1912, 315, 279, 12374, 11, 16785, 52909, 2109, 14200, 3946, 13, 578, 1912, 22262, 311, 12192, 279, 26431, 315, 13042, 16785, 19071, 505, 8776, 311, 6617, 11639, 627, 47, 3202, 60424, 50, 11, 34833, 3967, 439, 393, 3202, 75670, 53204, 11, 374, 279, 4033, 13042, 37071, 6373, 1912, 315, 279, 12374, 627, 47, 3202, 20287, 647, 21058, 343, 6354, 17848, 460, 374, 279, 4033, 70356, 1604, 1912, 315, 279, 12374, 1234, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 627, 47, 3202, 328, 5859, 8288, 52206, 19294, 10200, 531, 683, 11, 1101, 3967, 439, 32740, 56, 75736, 11, 374, 279, 19504, 5575, 27803, 7471, 315, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 1234, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 198, 47, 3202, 5340, 3444, 935, 3623, 2637, 34833, 3967, 439, 393, 3202, 432, 2159, 21575, 11, 374, 264, 925, 40126, 1234, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 1389, 3907, 5955, 369, 21023, 323, 279, 17979, 627, 47, 3202, 1750, 41147, 10349, 477, 393, 3202, 596, 374, 74, 647, 14, 3267, 526, 13318, 18071, 9265, 374, 279, 4033, 24685, 7471, 315, 393, 3202, 3907, 5955, 369, 21023, 323, 279, 17979, 13, 1102, 1511, 311, 387, 3967, 439, 393, 3202, 445, 6960, 11064, 10349, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 7281, 3458, 40106, 8216, 320, 96925, 340, 28205, 3458, 40106, 8216, 574, 264, 40106, 8216, 13788, 7281, 3458, 11, 6460, 362, 11160, 15255, 11, 19627, 13, 578, 8216, 574, 13517, 961, 315, 279, 362, 11160, 323, 423, 7828, 616, 4910, 55556, 11, 6575, 323, 3010, 13234, 555, 279, 43997, 323, 4987, 11104, 55556, 4286, 567, 11346, 198, 791, 8216, 9107, 304, 220, 9378, 22, 11, 3515, 7882, 2212, 220, 3965, 37356, 320, 18518, 4194, 728, 8, 10007, 505, 279, 4113, 8216, 2816, 430, 1047, 9107, 389, 220, 22, 6287, 220, 9741, 21, 13, 578, 2132, 8216, 596, 2816, 574, 8036, 555, 279, 8013, 24720, 2336, 8925, 304, 220, 5162, 19, 627, 791, 8216, 1047, 264, 3254, 5452, 11, 264, 8450, 3830, 3221, 279, 5754, 927, 14024, 11, 264, 2478, 14414, 826, 323, 264, 11822, 25351, 13, 578, 5452, 706, 1027, 76993, 323, 264, 879, 51688, 374, 1457, 7559, 520, 279, 2816, 315, 279, 2362, 8216, 4857, 13, 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 ]
[ 128000, 2, 1229, 402, 309, 28447, 11, 735, 13279, 373, 71, 198, 48, 402, 309, 28447, 320, 59742, 1122, 25, 78803, 12942, 50488, 101558, 66498, 11, 1101, 13041, 1534, 439, 1229, 402, 31757, 76, 31757, 65, 31757, 67, 26, 1101, 3967, 439, 24855, 675, 309, 3765, 329, 36170, 13616, 11, 1229, 402, 31757, 76, 31757, 65, 31757, 67, 5773, 735, 30986, 31757, 75, 11, 323, 1229, 402, 31757, 76, 31757, 65, 31757, 67, 5773, 393, 31757, 529, 61711, 77, 8, 374, 264, 14458, 304, 36647, 4355, 58320, 11182, 11, 304, 279, 10913, 11182, 315, 735, 13279, 373, 71, 6406, 11, 435, 1590, 17271, 11, 10471, 13, 2468, 279, 220, 1049, 21, 44702, 11, 1202, 7187, 574, 220, 25890, 11, 304, 220, 13460, 8689, 627, 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 ]
[ 128000, 2, 73578, 911, 483, 51775, 648, 320, 5901, 369, 25379, 15255, 3707, 51290, 73578, 911, 483, 51775, 648, 26068, 320, 66, 13, 220, 11286, 19, 4235, 9892, 24, 8, 574, 264, 25537, 5420, 27202, 323, 4363, 8281, 505, 25379, 15255, 13, 1283, 15609, 430, 14189, 304, 20302, 304, 220, 10718, 19, 11, 18677, 311, 2254, 4363, 18637, 11, 323, 3952, 961, 304, 3892, 25981, 389, 279, 32843, 13, 1283, 323, 813, 22916, 10868, 10425, 4946, 1409, 1729, 1051, 14134, 520, 21448, 449, 10425, 8170, 265, 1065, 627, 47, 486, 911, 483, 574, 279, 2132, 4538, 315, 279, 11495, 21393, 276, 27202, 73578, 911, 483, 51775, 648, 11, 220, 1032, 339, 54007, 4946, 1409, 1729, 409, 469, 417, 1729, 13, 1283, 574, 16584, 311, 76834, 3771, 72, 9304, 11, 24562, 304, 220, 11068, 19, 13, 1283, 46368, 311, 9822, 304, 220, 11068, 24, 13, 3277, 813, 7126, 8636, 304, 220, 6330, 16, 11, 73578, 911, 483, 28088, 264, 893, 269, 304, 59792, 323, 279, 312, 4464, 315, 4946, 1409, 1729, 4783, 304, 7295, 13, 1283, 574, 16584, 311, 279, 12877, 19176, 304, 220, 6330, 20, 627, 644, 220, 10718, 15, 11, 51775, 648, 12457, 264, 2035, 439, 264, 46229, 315, 279, 6223, 88, 25199, 311, 19912, 18063, 11, 323, 574, 3549, 264, 23844, 315, 279, 19710, 389, 220, 17, 5651, 11, 994, 18063, 574, 29091, 439, 19912, 315, 23782, 13, 25929, 430, 1060, 11, 568, 21095, 264, 66407, 449, 10425, 8170, 265, 1065, 11, 459, 1558, 1430, 349, 9354, 315, 73578, 911, 483, 596, 10868, 10425, 4946, 1409, 1729, 11, 323, 304, 29774, 574, 14243, 28593, 304, 279, 17308, 13, 3296, 220, 10718, 16, 11, 2225, 20820, 1047, 3719, 9808, 304, 279, 24113, 13309, 627, 644, 220, 10718, 17, 11, 73578, 911, 483, 1047, 3719, 264, 4562, 315, 279, 13286, 8351, 11, 323, 4024, 22917, 311, 35914, 430, 1060, 369, 813, 2890, 13, 19912, 18063, 8636, 520, 279, 842, 315, 279, 1060, 11, 323, 304, 279, 4498, 315, 220, 10718, 18, 11, 73578, 911, 483, 4024, 22917, 1578, 323, 21095, 2500, 66407, 449, 10425, 8170, 265, 1065, 11, 1790, 311, 279, 85334, 4058, 315, 6342, 7957, 13, 763, 220, 10718, 19, 11, 568, 57310, 25379, 15255, 449, 279, 5590, 1291, 17177, 11355, 3206, 942, 323, 574, 6052, 439, 1202, 27144, 47709, 315, 279, 559, 556, 311, 279, 2758, 839, 20302, 13, 2360, 3335, 315, 813, 5820, 1070, 706, 1027, 34683, 13, 3296, 279, 842, 315, 279, 1060, 11, 568, 574, 16066, 505, 264, 11660, 17563, 323, 813, 4648, 574, 70468, 11, 8405, 10425, 8170, 265, 1065, 449, 459, 6776, 369, 58755, 13, 4452, 11, 814, 1051, 539, 1317, 24306, 11, 439, 814, 1051, 37965, 265, 2785, 1578, 555, 279, 42774, 315, 220, 10718, 20, 627, 47, 53733, 483, 6267, 311, 813, 10868, 8563, 505, 5590, 304, 220, 10718, 20, 45391, 10058, 16959, 4918, 304, 7505, 12565, 942, 596, 1514, 477, 9427, 593, 11, 44662, 650, 485, 10297, 505, 279, 1708, 2464, 1705, 520, 7301, 11, 1405, 2380, 3278, 9922, 304, 22999, 1651, 3946, 11, 889, 10791, 279, 6666, 315, 682, 11, 2737, 279, 11734, 13, 3700, 911, 483, 1071, 279, 12502, 3278, 520, 5590, 1051, 26435, 304, 3776, 627, 1383, 420, 892, 11, 73578, 911, 483, 1047, 12502, 38649, 320, 67, 13, 220, 10513, 17, 705, 279, 10003, 315, 17177, 40796, 16233, 1263, 1293, 11, 220, 16, 267, 54007, 295, 11, 555, 8884, 568, 1047, 2380, 26419, 11, 8563, 11, 73578, 911, 483, 11, 323, 40796, 11, 323, 2380, 30968, 11, 61289, 1171, 320, 70582, 8563, 67977, 89, 320, 67, 13, 220, 10680, 15, 5850, 71471, 11, 323, 21393, 320, 70582, 26184, 23229, 569, 570, 763, 220, 10718, 24, 11, 568, 6244, 264, 4562, 315, 279, 8339, 8351, 320, 276, 4879, 311, 15235, 553, 26340, 3444, 705, 323, 574, 21489, 264, 1847, 19393, 315, 31377, 2352, 568, 589, 13, 1283, 74771, 311, 5249, 279, 16337, 315, 279, 11165, 266, 3357, 6197, 555, 17177, 15083, 580, 69932, 304, 220, 10674, 15, 11, 719, 1550, 539, 3604, 733, 22917, 26, 304, 279, 2768, 1060, 11, 568, 574, 1903, 264, 12437, 315, 279, 9096, 369, 279, 27399, 315, 65379, 627, 33, 531, 648, 574, 21489, 264, 41443, 369, 1421, 355, 1821, 304, 25379, 15255, 304, 220, 10674, 19, 13, 1283, 323, 10425, 4946, 1409, 1729, 1578, 4024, 22917, 430, 1060, 311, 4465, 279, 15506, 304, 279, 26746, 13, 763, 279, 2768, 1060, 11, 568, 574, 44224, 264, 3682, 315, 4579, 11, 323, 574, 21489, 311, 5370, 54764, 369, 4363, 16048, 304, 25379, 15255, 320, 34564, 287, 45406, 323, 279, 11188, 41061, 8, 1418, 22917, 13, 1283, 574, 28520, 32230, 323, 21489, 264, 15235, 301, 315, 4579, 11, 65440, 264, 75541, 304, 279, 53057, 60208, 273, 409, 51223, 51264, 13, 1115, 574, 813, 1566, 4901, 26, 568, 27905, 6052, 311, 990, 389, 44585, 58592, 11, 902, 1053, 4546, 1461, 1139, 12324, 449, 279, 34342, 315, 469, 398, 13, 19332, 264, 3541, 16357, 315, 10406, 11, 25379, 15255, 304, 220, 9892, 19, 11, 568, 574, 21489, 264, 41443, 315, 2064, 598, 304, 220, 9892, 20, 11, 323, 8636, 315, 342, 412, 304, 220, 9892, 24, 13, 1283, 574, 28016, 389, 220, 1032, 6841, 520, 800, 85931, 304, 279, 25599, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 8529, 7881, 34582, 8216, 198, 25763, 7881, 374, 264, 38269, 21631, 8216, 389, 279, 24024, 9046, 315, 1584, 220, 16, 13, 1102, 374, 7559, 220, 304, 279, 57918, 315, 30643, 84, 906, 6354, 1673, 8288, 3042, 531, 11, 304, 279, 24024, 961, 315, 38269, 11, 34061, 26, 832, 315, 279, 95679, 315, 279, 8216, 374, 6089, 24923, 279, 45340, 11166, 627, 791, 34582, 8216, 9107, 389, 220, 508, 6186, 220, 4468, 21, 13, 30070, 220, 3753, 17, 320, 9493, 279, 1584, 574, 11838, 311, 99572, 705, 433, 574, 279, 24024, 10415, 355, 315, 1584, 220, 16, 33, 13, 8876, 220, 19, 5936, 220, 1049, 24, 11, 279, 8216, 706, 1027, 10434, 555, 279, 24024, 9046, 315, 1584, 220, 16, 320, 1762, 18785, 1584, 220, 16, 33, 4390, 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 ]
[ 128000, 2, 75225, 315, 1472, 198, 51537, 28755, 315, 1472, 374, 459, 3778, 44578, 7091, 7200, 505, 1561, 4356, 4409, 13, 3459, 291, 304, 220, 1049, 19, 11, 279, 7200, 5131, 17610, 315, 4113, 19533, 96665, 32866, 1050, 14722, 11, 62740, 15466, 14583, 2715, 8233, 11, 323, 69046, 8096, 47790, 16438, 18022, 627, 7009, 617, 91713, 279, 2326, 11, 323, 279, 6560, 2225, 439, 264, 32263, 1180, 323, 304, 1862, 315, 1023, 13820, 2737, 362, 19991, 11, 15128, 4470, 16576, 11, 3005, 78578, 81649, 11, 16835, 1561, 11, 578, 320, 34746, 8, 51623, 98252, 11, 323, 42009, 936, 29878, 535, 13, 2435, 617, 8767, 1027, 39048, 369, 12232, 85, 52, 12404, 648, 23146, 369, 7252, 14986, 323, 7648, 8745, 291, 13, 763, 5936, 220, 1049, 21, 11, 814, 1051, 279, 26526, 315, 31789, 0, 10948, 596, 330, 15546, 596, 9479, 7673, 10937, 26, 3347, 26526, 2997, 3092, 36424, 52256, 11, 3623, 57654, 323, 34896, 4298, 11, 323, 473, 5863, 382, 567, 11346, 198, 94857, 1050, 14722, 574, 13517, 264, 4562, 315, 279, 1457, 711, 20526, 7200, 578, 83225, 22503, 11, 16662, 1510, 3697, 315, 16835, 1561, 26, 40271, 445, 57020, 11, 58716, 36332, 3520, 323, 17520, 27109, 13, 4740, 279, 7200, 85156, 5627, 11, 568, 6244, 279, 62740, 315, 578, 54385, 13327, 1643, 323, 1243, 9778, 14454, 75225, 315, 1472, 627, 791, 7200, 13517, 659, 5621, 4778, 872, 17755, 8176, 389, 872, 1866, 2440, 11, 578, 2893, 59270, 15255, 9587, 13, 2435, 16383, 433, 311, 6460, 4410, 22293, 304, 279, 2326, 323, 8797, 4212, 73692, 304, 279, 6560, 13, 14853, 17845, 11, 449, 24442, 4731, 6946, 11, 1051, 6004, 505, 279, 659, 2442, 15621, 8176, 13, 578, 17845, 5343, 330, 5159, 4076, 374, 81363, 498, 330, 791, 21882, 6122, 555, 8840, 2100, 39247, 1, 323, 330, 40, 24133, 311, 2893, 12649, 1142, 304, 4718, 6984, 17884, 3343, 220, 2052, 2380, 6946, 1051, 15109, 389, 279, 74615, 6007, 5039, 24565, 596, 15448, 15621, 9305, 7073, 323, 87213, 30260, 13, 13596, 5609, 505, 279, 8176, 11, 330, 31765, 17952, 11, 358, 38747, 358, 40070, 1611, 2642, 498, 574, 1101, 15109, 304, 279, 39462, 13482, 2835, 1847, 11, 44742, 220, 2589, 627, 644, 279, 12531, 315, 220, 1049, 22, 578, 2893, 59270, 15255, 9587, 6859, 449, 6460, 4410, 22293, 13, 75225, 315, 1472, 1243, 659, 5621, 4778, 264, 4330, 77740, 19613, 11, 20458, 17343, 17581, 389, 6250, 220, 806, 11, 220, 1049, 22, 13, 2435, 91713, 304, 1862, 315, 279, 19613, 449, 264, 2010, 35981, 7364, 315, 279, 2326, 304, 3297, 323, 5651, 220, 1049, 23, 13, 2435, 1051, 7396, 555, 279, 44825, 11, 18343, 432, 4023, 11, 323, 74876, 21396, 627, 644, 220, 1049, 23, 11, 279, 7200, 45425, 69046, 8096, 47790, 16438, 18022, 320, 70614, 315, 57316, 16691, 705, 323, 6137, 4477, 369, 872, 1828, 14356, 8176, 13, 5843, 1712, 4333, 323, 26832, 6108, 39844, 32866, 48290, 11096, 279, 7200, 389, 22253, 304, 6790, 220, 1049, 23, 11, 25935, 4113, 22253, 380, 13960, 1283, 321, 11, 5737, 813, 1176, 1501, 449, 279, 1912, 389, 6790, 220, 1682, 11, 220, 1049, 23, 520, 279, 51363, 4418, 798, 304, 5843, 10951, 11, 12551, 13, 220, 578, 7200, 1243, 10862, 279, 14356, 304, 6186, 220, 1049, 24, 311, 3240, 14975, 872, 51498, 2539, 30425, 3335, 627, 791, 502, 8176, 11, 15268, 316, 5676, 582, 11, 574, 12715, 520, 279, 15852, 14355, 14975, 14356, 304, 279, 5745, 24755, 3857, 315, 1561, 4356, 4409, 304, 6186, 220, 1049, 24, 11, 1080, 84561, 555, 279, 7200, 323, 17520, 78024, 13, 220, 578, 3335, 574, 18307, 12715, 323, 34156, 304, 1120, 264, 5743, 315, 5672, 11, 449, 220, 845, 21925, 16079, 13, 220, 40741, 2835, 9013, 1051, 8621, 389, 279, 7200, 596, 3092, 10115, 2199, 6957, 279, 16079, 11, 10494, 7359, 304, 279, 6471, 13, 578, 502, 8176, 574, 8220, 20193, 46095, 11, 20458, 15268, 316, 5676, 582, 323, 574, 6004, 1555, 578, 2893, 59270, 15255, 9587, 389, 6287, 220, 19, 11, 220, 1049, 24, 13, 1952, 3297, 220, 972, 11, 220, 1049, 24, 41785, 14756, 6004, 264, 4232, 389, 872, 3997, 315, 264, 502, 5609, 20458, 330, 40, 21834, 358, 2846, 25531, 55025, 498, 902, 374, 279, 3063, 3839, 1022, 315, 15268, 316, 5676, 582, 627, 51537, 28755, 315, 1472, 3940, 48551, 1578, 304, 220, 1049, 24, 11, 9298, 279, 7200, 1176, 32263, 264, 6560, 7364, 304, 5936, 320, 4291, 1862, 555, 19895, 6108, 7200, 622, 10647, 2054, 279, 26099, 705, 8272, 6089, 555, 264, 1862, 9633, 389, 279, 1708, 36641, 483, 86095, 11628, 4798, 279, 6187, 7364, 304, 279, 3723, 4273, 13, 4740, 264, 2380, 30609, 1464, 11, 279, 7200, 1243, 743, 704, 389, 1202, 1866, 220, 21, 30609, 2326, 2010, 35981, 7364, 304, 5651, 14, 29527, 315, 364, 2545, 11, 9298, 279, 7200, 1514, 810, 1109, 220, 1758, 9919, 304, 50919, 315, 279, 502, 15268, 316, 5676, 582, 8176, 4984, 627, 1966, 6790, 220, 605, 11, 220, 1049, 24, 11, 520, 264, 23401, 520, 426, 24125, 783, 3907, 11, 1050, 14722, 7376, 430, 568, 1053, 387, 81573, 369, 15704, 8617, 25012, 279, 7200, 389, 459, 81956, 81286, 627, 1966, 3297, 220, 605, 11, 220, 679, 17, 11, 75225, 315, 1472, 6004, 264, 502, 5609, 20458, 330, 2729, 5046, 3092, 23754, 1, 389, 872, 3997, 627, 644, 5887, 11, 32866, 1050, 14722, 6004, 330, 36227, 4073, 362, 44730, 1, 389, 872, 3997, 382, 567, 17366, 3697, 198, 12, 32866, 1050, 14722, 482, 47196, 11, 60594, 320, 1049, 19, 4235, 21886, 340, 12, 15466, 14583, 2715, 8233, 482, 17418, 320, 1049, 19, 4235, 21886, 340, 12, 8096, 47790, 16438, 18022, 482, 47389, 320, 1049, 23, 4235, 21886, 3707, 567, 33600, 3697, 198, 12, 7302, 12233, 27625, 482, 22253, 320, 1049, 19, 340, 12, 33007, 8663, 70, 1565, 482, 47389, 320, 1049, 19, 4235, 1049, 23, 8, 320, 31945, 398, 315, 432, 4023, 31483, 11, 356, 3166, 323, 21396, 75092, 340, 12, 13960, 1283, 321, 482, 22253, 320, 1049, 20, 4235, 1049, 23, 340, 12, 32866, 48290, 482, 22253, 320, 1049, 23, 12, 1049, 24, 3707, 567, 11997, 5814, 271, 14711, 19074, 28785, 198, 12, 75225, 315, 1472, 320, 1049, 20, 11, 578, 2893, 59270, 15255, 9587, 340, 12, 15268, 316, 5676, 582, 320, 1049, 24, 11, 578, 2893, 59270, 15255, 9587, 3707, 14711, 41665, 11335, 198, 12, 75225, 315, 1472, 320, 1049, 20, 11, 6460, 4410, 340, 12, 17343, 0, 19613, 320, 1049, 22, 340, 12, 75225, 315, 1472, 7238, 11997, 54634, 320, 1049, 23, 11, 578, 2893, 59270, 15255, 9587, 340, 12, 426, 6354, 3422, 323, 4829, 437, 510, 1049, 19, 12, 1049, 23, 60, 320, 679, 17, 3707, 14711, 47422, 198, 12, 330, 5159, 4076, 374, 81363, 1, 320, 1049, 21, 340, 12, 330, 40, 24133, 311, 2893, 12649, 1142, 304, 4718, 6984, 17884, 1, 320, 1049, 21, 340, 12, 330, 791, 21882, 6122, 555, 8840, 2100, 39247, 1, 320, 1049, 21, 340, 12, 330, 40, 21834, 358, 2846, 25531, 55025, 1, 320, 1049, 24, 340, 12, 330, 2729, 315, 3092, 23754, 1, 320, 679, 17, 340, 12, 330, 36227, 4073, 362, 44730, 1, 320, 679, 17, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 1901, 12574, 7886, 198, 57, 43723, 477, 1901, 12574, 7886, 320, 32845, 13464, 95805, 416, 25, 53677, 61642, 119478, 8, 374, 264, 88264, 323, 100170, 40853, 430, 1253, 8464, 311, 512, 12, 23245, 1901, 12574, 7886, 320, 16381, 220, 2550, 19, 705, 100170, 293, 5598, 273, 634, 261, 198, 12, 480, 9431, 318, 1901, 12574, 7886, 320, 10005, 17, 4235, 10828, 23, 705, 88264, 46273, 92658, 198, 12, 42521, 1901, 43723, 320, 16381, 220, 4468, 23, 705, 13673, 9141, 2851, 198, 12, 45170, 1901, 12574, 7886, 320, 16381, 220, 3753, 21, 705, 13673, 12707, 34756, 11, 13219, 315, 42521, 323, 71099, 198, 12, 71099, 1901, 43723, 320, 16381, 220, 4468, 16, 705, 13673, 9141, 2851, 11, 10868, 315, 42521, 198, 12, 113098, 329, 1901, 12574, 7886, 320, 16381, 220, 6393, 21, 705, 88264, 28378, 271, 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 ]
[ 128000, 2, 14662, 3919, 21097, 942, 198, 1255, 14662, 3919, 8096, 21097, 942, 320, 16381, 220, 806, 6287, 220, 5162, 21, 8, 374, 264, 31209, 3429, 453, 39138, 1940, 1291, 323, 54618, 14284, 261, 382, 567, 13482, 7076, 198, 2170, 264, 3429, 19308, 39138, 1940, 1291, 320, 43, 54, 605, 538, 25, 11961, 11, 1370, 391, 1978, 689, 449, 912, 477, 1063, 8582, 57056, 734, 323, 912, 16003, 11961, 8335, 8, 568, 31408, 520, 279, 220, 2550, 23, 20704, 4366, 5893, 1331, 1233, 320, 55767, 264, 40907, 37712, 304, 73481, 8, 323, 520, 279, 220, 1049, 17, 20704, 4366, 5893, 1331, 1233, 320, 55767, 2380, 15310, 60082, 482, 304, 1776, 83128, 11, 14880, 1776, 83128, 323, 2307, 12279, 482, 323, 264, 40907, 37712, 304, 73481, 4390, 10438, 279, 220, 1049, 21, 20704, 4366, 5893, 1331, 1233, 11, 279, 4623, 574, 430, 14662, 3919, 1053, 842, 813, 453, 39138, 7076, 555, 11230, 264, 4366, 5893, 1331, 292, 6761, 11, 902, 568, 1550, 520, 1455, 315, 279, 4435, 79206, 13, 2030, 459, 11134, 430, 6197, 311, 264, 6129, 19405, 323, 513, 1725, 285, 2231, 459, 842, 311, 1521, 6787, 627, 6153, 1063, 1667, 2085, 10775, 11, 568, 3940, 54618, 14284, 287, 520, 220, 679, 18, 627, 2170, 264, 54618, 14284, 261, 568, 31408, 304, 279, 220, 679, 23, 20704, 4366, 5893, 1331, 1233, 1405, 31209, 2128, 8220, 389, 56766, 2035, 627, 1548, 574, 264, 31209, 5292, 70871, 520, 279, 220, 679, 23, 20704, 4366, 5893, 1331, 1233, 8736, 22260, 627, 644, 220, 1049, 19, 568, 1047, 264, 29804, 369, 279, 33767, 355, 4435, 18707, 2203, 1293, 315, 279, 9941, 449, 75368, 17768, 382, 567, 40713, 198, 91, 14598, 220, 765, 26869, 4391, 765, 21530, 394, 765, 10657, 1881, 765, 30982, 1835, 765, 75824, 286, 765, 28275, 1733, 765, 18093, 504, 9432, 91, 61258, 765, 14730, 16974, 765, 91881, 765, 14730, 765, 14730, 765, 14730, 765, 14730, 16974, 765, 14730, 23573, 9432, 91, 220, 679, 18, 4235, 975, 765, 622, 5164, 50432, 49565, 260, 765, 40208, 358, 40637, 268, 260, 765, 23860, 74, 735, 543, 258, 262, 765, 14662, 3919, 21097, 942, 262, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 19, 394, 9432, 91, 220, 679, 19, 4235, 868, 765, 23860, 74, 735, 543, 258, 692, 765, 27973, 2259, 549, 35103, 257, 765, 14662, 3919, 21097, 942, 262, 765, 1556, 6672, 93537, 256, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 20, 394, 9432, 91, 220, 679, 19, 4235, 868, 765, 622, 5164, 50432, 49565, 260, 765, 23860, 74, 735, 543, 258, 286, 765, 14662, 3919, 21097, 942, 262, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 68279, 386, 370, 2431, 82, 1881, 765, 468, 1671, 3791, 220, 679, 20, 320, 24, 339, 8, 692, 9432, 91, 220, 679, 20, 4235, 845, 765, 23860, 74, 735, 543, 258, 692, 765, 27973, 2259, 549, 35103, 257, 765, 14662, 3919, 21097, 942, 262, 765, 1901, 24155, 3402, 375, 257, 765, 480, 531, 9939, 1974, 31031, 220, 765, 61697, 426, 7053, 1078, 765, 468, 1671, 3791, 7826, 220, 679, 20, 1078, 9432, 91, 220, 679, 20, 4235, 845, 765, 14662, 3919, 21097, 942, 320, 35124, 339, 8, 765, 23860, 74, 735, 543, 258, 320, 21247, 8, 765, 27973, 2259, 549, 35103, 765, 480, 531, 9939, 1974, 31031, 220, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 21, 394, 9432, 91, 220, 679, 21, 4235, 1114, 765, 23860, 74, 735, 543, 258, 692, 765, 64749, 7453, 32284, 942, 9607, 17137, 765, 14662, 3919, 21097, 942, 262, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 61697, 426, 7053, 1078, 765, 468, 1671, 3791, 7826, 220, 679, 21, 320, 22, 339, 8, 286, 9432, 91, 220, 679, 21, 4235, 1114, 765, 23860, 74, 735, 543, 258, 692, 765, 27973, 2259, 549, 35103, 257, 765, 14662, 3919, 21097, 942, 262, 765, 480, 531, 9939, 1974, 31031, 220, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 22, 394, 9432, 91, 220, 679, 22, 4235, 972, 765, 64749, 7453, 32284, 942, 9607, 17137, 256, 765, 14662, 3919, 21097, 942, 286, 765, 68279, 24540, 4355, 3365, 25188, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 11291, 29853, 455, 11, 61697, 426, 7053, 765, 468, 11637, 220, 679, 23, 320, 605, 339, 8, 1881, 9432, 91, 220, 679, 24, 4235, 508, 765, 27973, 2259, 549, 35103, 996, 765, 14662, 3919, 21097, 942, 286, 765, 36783, 16071, 76, 415, 765, 1901, 24155, 3402, 375, 257, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 2366, 15, 394, 9432, 91, 220, 679, 24, 4235, 508, 765, 64749, 7453, 32284, 942, 9607, 17137, 256, 765, 68279, 24540, 4355, 3365, 25188, 257, 765, 14662, 3919, 21097, 942, 262, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 67463, 735, 7430, 28073, 3178, 996, 765, 468, 1671, 3791, 7826, 220, 679, 24, 9787, 468, 1671, 3791, 220, 2366, 15, 9432, 91, 220, 2366, 18, 4235, 1187, 765, 64749, 9509, 32284, 942, 9607, 17137, 256, 765, 14662, 3919, 21097, 942, 286, 765, 36783, 16071, 76, 415, 765, 21252, 2259, 27268, 81265, 765, 27973, 2259, 549, 35103, 765, 11291, 29853, 455, 310, 765, 468, 1671, 3791, 220, 2366, 19, 320, 19, 339, 8, 692, 9432, 91, 220, 2366, 19, 4235, 914, 765, 64749, 9509, 32284, 942, 9607, 17137, 256, 765, 14662, 3919, 21097, 942, 286, 765, 21252, 2259, 27268, 81265, 765, 27973, 2259, 549, 35103, 765, 40139, 48693, 942, 220, 765, 11291, 29853, 455, 310, 765, 468, 1671, 3791, 220, 2366, 20, 320, 20, 339, 8, 692, 36821, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 50884, 596, 19853, 320, 5162, 23, 4632, 340, 49, 28523, 596, 19853, 374, 264, 220, 5162, 23, 23347, 4632, 9124, 555, 362, 732, 13, 445, 2552, 369, 82910, 29485, 430, 574, 15910, 555, 41954, 27206, 323, 40500, 29607, 9259, 11, 480, 66798, 56018, 323, 35727, 23809, 627, 791, 4632, 596, 7437, 1051, 6319, 555, 279, 1989, 28454, 58906, 21293, 323, 20442, 73578, 9008, 382, 567, 27124, 198, 17205, 45259, 3842, 50884, 9221, 61914, 922, 279, 1162, 315, 459, 19411, 719, 66153, 3995, 5333, 382, 567, 11514, 198, 12, 29607, 9259, 439, 3842, 50884, 198, 12, 480, 66798, 56018, 439, 90357, 4356, 198, 12, 35727, 23809, 439, 2999, 13, 69186, 11586, 1303, 484, 198, 12, 60091, 80099, 439, 11284, 78642, 198, 12, 17520, 4418, 3532, 88, 439, 56379, 12336, 198, 12, 13759, 3258, 2895, 4091, 439, 71911, 13000, 76508, 354, 198, 12, 386, 6181, 46137, 439, 62795, 198, 12, 12131, 1676, 2963, 439, 2418, 304, 10349, 198, 12, 51965, 3623, 30636, 439, 59449, 10783, 198, 12, 3842, 11044, 13558, 439, 10289, 20148, 198, 12, 12656, 364, 97003, 6, 62245, 439, 622, 1197, 78, 198, 12, 8563, 52830, 13701, 439, 31797, 46270, 1543, 198, 12, 12336, 7462, 5770, 439, 4593, 268, 198, 12, 14596, 80792, 439, 29770, 198, 12, 29517, 445, 1468, 1565, 439, 61446, 198, 12, 19412, 689, 65914, 12201, 439, 18083, 13, 60777, 2017, 1432, 567, 62926, 5814, 198, 12, 31248, 11, 29808, 13, 68198, 315, 41445, 17042, 46085, 13, 2522, 548, 52905, 8612, 11, 220, 1049, 24, 382, 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 ]
[ 128000, 2, 8529, 650, 62800, 74, 408, 8458, 486, 198, 25763, 650, 62800, 74, 408, 8458, 486, 320, 16381, 220, 17, 6250, 220, 3753, 19, 304, 432, 7217, 301, 548, 8, 374, 264, 49162, 37038, 889, 706, 10434, 439, 264, 12308, 315, 279, 7665, 20302, 320, 7614, 47, 8, 505, 220, 679, 19, 3156, 220, 679, 24, 323, 1578, 2533, 220, 2366, 16, 13, 1283, 374, 264, 4562, 315, 279, 9052, 11650, 323, 65122, 819, 4717, 320, 6620, 5, 53, 705, 902, 23874, 304, 279, 469, 4505, 5856, 382, 567, 31597, 7076, 198, 53, 62800, 74, 408, 8458, 486, 574, 21892, 315, 279, 11325, 5, 53, 12822, 20611, 505, 220, 679, 18, 311, 220, 679, 19, 627, 644, 220, 679, 19, 11, 650, 62800, 74, 408, 8458, 486, 26399, 2947, 64452, 67675, 784, 268, 11, 889, 6244, 7665, 30454, 13, 763, 21814, 11, 568, 10434, 389, 279, 10554, 389, 23362, 323, 74214, 23298, 320, 36, 5910, 705, 279, 330, 36793, 3105, 45231, 1, 66802, 10554, 320, 47, 39874, 8, 323, 279, 46361, 369, 4398, 449, 279, 9029, 596, 5545, 315, 5734, 627, 12834, 312, 12, 66305, 279, 21814, 304, 220, 2366, 16, 11, 650, 62800, 74, 408, 8458, 486, 706, 1027, 13788, 389, 279, 10554, 389, 279, 15774, 8152, 323, 26262, 19721, 11, 279, 10554, 389, 37963, 323, 58320, 11050, 11, 279, 10554, 389, 19620, 23298, 11, 279, 10554, 389, 16803, 92586, 11, 12007, 323, 5492, 23298, 323, 279, 99256, 389, 8398, 323, 40007, 13, 763, 5369, 311, 813, 13093, 32272, 11, 706, 1027, 264, 4562, 279, 21814, 596, 46361, 369, 4398, 449, 10471, 323, 10716, 287, 279, 46361, 311, 279, 30334, 87415, 12000, 382, 567, 31597, 10093, 198, 644, 6664, 220, 2366, 16, 11, 650, 62800, 74, 408, 8458, 486, 33230, 264, 2536, 32136, 11175, 304, 902, 264, 8857, 315, 279, 7665, 20302, 71617, 279, 1054, 77098, 8163, 863, 323, 29191, 315, 56394, 83908, 37038, 7043, 432, 4881, 370, 81701, 323, 28932, 279, 10013, 311, 23091, 709, 1202, 9045, 311, 9966, 813, 4984, 627, 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 ]
[ 128000, 2, 16344, 349, 645, 15715, 266, 121038, 198, 58524, 349, 645, 15715, 266, 121038, 374, 264, 29937, 62035, 11, 36172, 521, 69788, 11, 34454, 521, 62035, 11, 91490, 11, 21236, 35831, 17854, 2411, 449, 264, 3254, 25685, 5292, 616, 372, 505, 279, 64677, 16344, 349, 645, 11, 902, 574, 25181, 505, 13076, 3090, 323, 7878, 3090, 13, 32042, 552, 315, 432, 13, 15715, 266, 121038, 527, 2867, 627, 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 ]
[ 128000, 2, 23683, 526, 3444, 650, 3864, 7911, 48654, 84203, 60347, 329, 198, 38342, 526, 3444, 650, 3864, 7911, 48654, 84203, 60347, 329, 320, 51, 40818, 13683, 8, 374, 832, 315, 279, 37601, 315, 6401, 323, 12517, 66187, 6011, 315, 23683, 526, 3444, 10423, 198, 2181, 574, 19180, 505, 1628, 73010, 43458, 650, 3864, 7911, 48654, 84203, 60347, 329, 11, 902, 574, 9749, 555, 459, 1180, 315, 13543, 304, 220, 3753, 21, 13, 6007, 13683, 14454, 7524, 220, 17, 5651, 220, 679, 19, 627, 2181, 24121, 12789, 449, 279, 6278, 2237, 24461, 315, 4950, 36486, 24950, 505, 220, 966, 311, 220, 8652, 13, 578, 17437, 315, 279, 54943, 323, 279, 1023, 5687, 304, 1521, 24461, 690, 387, 11953, 1555, 279, 350, 40818, 13683, 627, 48940, 85397, 323, 12299, 85397, 315, 279, 23683, 526, 3444, 1101, 17503, 1234, 279, 5699, 315, 350, 40818, 13683, 627, 16648, 420, 220, 6889, 3158, 2237, 24461, 11, 220, 23, 9474, 2237, 24461, 11, 220, 12994, 24852, 80627, 292, 323, 220, 11387, 1252, 5676, 24461, 9041, 927, 1614, 627, 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 ]
[ 128000, 2, 452, 2192, 5169, 198, 45, 2192, 5169, 374, 264, 46284, 2728, 836, 13, 2876, 481, 1274, 449, 279, 836, 2997, 512, 12, 452, 2192, 5169, 362, 3059, 2111, 78, 320, 16381, 220, 3753, 24, 705, 36083, 23597, 77740, 18688, 198, 12, 452, 2192, 5169, 9084, 380, 467, 320, 16381, 220, 2550, 17, 705, 15506, 9141, 2851, 198, 12, 452, 2192, 5169, 469, 3427, 41796, 361, 320, 16381, 220, 3753, 18, 705, 15506, 1450, 4047, 2851, 198, 12, 452, 2192, 5169, 79275, 320, 16381, 220, 2550, 22, 705, 15506, 23597, 198, 12, 452, 2192, 5169, 23683, 1169, 57670, 320, 16381, 220, 3753, 19, 705, 15506, 5754, 81131, 271, 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 ]
[ 128000, 2, 13566, 12542, 320, 18674, 9939, 5455, 468, 1815, 28684, 13566, 12542, 320, 18674, 9939, 5455, 468, 1815, 16715, 374, 264, 18273, 5573, 5439, 369, 27374, 24306, 555, 14253, 1883, 301, 13, 578, 5573, 574, 1176, 4756, 304, 220, 7028, 24, 555, 14582, 3367, 10948, 3623, 13, 304, 1561, 4356, 11, 12551, 13, 578, 11071, 4731, 3504, 11, 6319, 555, 435, 4361, 11, 4519, 264, 6685, 315, 264, 2678, 8334, 449, 264, 9396, 304, 2394, 15950, 32635, 11509, 7771, 13, 578, 5573, 374, 12514, 311, 2394, 41622, 93537, 43179, 5075, 44061, 13, 720, 791, 11071, 4731, 649, 387, 1766, 520, 279, 393, 57821, 7197, 28058, 16730, 612, 11896, 13, 720, 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 ]
[ 128000, 2, 8563, 816, 5230, 67, 564, 318, 869, 198, 35632, 480, 2734, 7759, 5230, 718, 816, 5230, 67, 564, 318, 869, 320, 48807, 25, 119659, 104099, 116003, 104709, 4929, 118549, 122515, 7094, 15088, 16494, 6856, 26, 9405, 220, 1544, 7552, 220, 4468, 15, 8, 374, 264, 8690, 6721, 9141, 7395, 323, 264, 4846, 2851, 382, 567, 40551, 7076, 198, 2170, 264, 2851, 11, 568, 1903, 813, 17755, 304, 279, 19953, 10657, 9130, 304, 220, 3753, 22, 369, 16396, 8877, 65, 2259, 11681, 24752, 98493, 13, 1283, 6476, 220, 21, 3953, 323, 16957, 220, 16, 5915, 304, 279, 79815, 1357, 531, 2117, 11098, 220, 2550, 21, 369, 16396, 735, 1428, 24476, 88406, 486, 24752, 3919, 68, 921, 301, 3919, 627, 1548, 2834, 264, 45967, 37712, 14393, 8524, 520, 279, 220, 2550, 20, 19367, 15915, 72, 1037, 382, 567, 75478, 7076, 198, 16648, 813, 6373, 11, 16396, 507, 1466, 10481, 574, 30026, 311, 279, 8690, 20210, 9130, 369, 279, 1176, 892, 3596, 520, 279, 842, 315, 279, 220, 679, 20, 4235, 845, 3280, 13, 11205, 17755, 220, 679, 21, 4235, 1114, 8690, 20210, 9130, 3280, 9670, 449, 59782, 367, 1555, 31855, 11, 323, 816, 5230, 67, 564, 318, 869, 2163, 279, 6469, 627, 1966, 220, 845, 6664, 220, 679, 24, 11, 568, 574, 22163, 439, 6783, 315, 279, 435, 31142, 6469, 16396, 452, 450, 71, 3919, 4723, 5746, 347, 13, 1283, 574, 27292, 555, 279, 6469, 389, 220, 19, 3297, 220, 2366, 16, 11, 1403, 3953, 1603, 279, 3280, 9670, 323, 279, 6469, 574, 30026, 311, 279, 8690, 20210, 9130, 627, 1548, 374, 5131, 279, 28275, 315, 220, 393, 6897, 63649, 276, 735, 13075, 35666, 277, 382, 567, 16958, 2530, 198, 12, 8690, 20210, 9130, 18824, 25, 220, 2550, 22, 627, 12, 8690, 5629, 14829, 1888, 6783, 25, 220, 679, 15, 8032, 19, 2595, 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 ]
[ 128000, 2, 18051, 526, 21575, 198, 51, 278, 526, 21575, 374, 264, 2678, 6424, 304, 34445, 43579, 13, 1102, 374, 7559, 2949, 16642, 38894, 627, 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 ]
[ 128000, 2, 4410, 261, 9552, 267, 301, 198, 54, 5302, 9552, 267, 301, 374, 264, 57918, 304, 279, 9474, 315, 423, 411, 96026, 7674, 11, 304, 5124, 645, 38022, 11529, 337, 12711, 11, 10057, 627, 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 ]
[ 128000, 2, 33305, 9939, 718, 5124, 2357, 809, 198, 54, 38377, 9939, 718, 5124, 2357, 809, 320, 845, 5587, 220, 7028, 16, 304, 33924, 5424, 268, 1389, 220, 1591, 6790, 220, 3753, 16, 304, 83239, 8, 574, 264, 6063, 7061, 323, 4632, 7690, 13, 1283, 6575, 505, 220, 6393, 24, 311, 220, 4468, 17, 3331, 396, 20995, 320, 1543, 4210, 7690, 8, 315, 279, 800, 39367, 267, 383, 977, 83239, 11, 8647, 369, 43516, 11, 1514, 323, 279, 83239, 87736, 382, 567, 21785, 198, 2169, 954, 198, 12, 469, 2174, 24893, 11, 220, 5926, 20, 320, 4198, 301, 51984, 6383, 13667, 340, 12, 58223, 261, 3926, 8977, 35638, 11, 220, 7285, 15, 320, 4198, 301, 51984, 6383, 13667, 340, 12, 13031, 220, 972, 13, 74308, 11, 220, 7285, 17, 320, 18674, 377, 6383, 13667, 340, 12, 87128, 18022, 2073, 2815, 7023, 67, 11, 220, 7285, 18, 320, 4198, 301, 51984, 6383, 13667, 340, 12, 13031, 68065, 2073, 2761, 445, 3029, 906, 11, 220, 7285, 19, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 19537, 3926, 8977, 11, 220, 7285, 19, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 8574, 1050, 1082, 14375, 12366, 11, 220, 7285, 21, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 8574, 735, 6672, 11, 220, 7285, 23, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 13031, 2009, 332, 52985, 650, 661, 11, 220, 6393, 15, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 8, 611, 1101, 439, 13031, 2009, 332, 52985, 29622, 70, 1291, 198, 12, 666, 13213, 2073, 2815, 17723, 23190, 11, 220, 6393, 15, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 705, 42508, 198, 12, 8574, 25187, 66945, 9603, 2234, 11, 220, 6393, 24, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 473, 6347, 22806, 285, 11, 220, 6393, 23, 320, 1951, 30032, 6383, 23698, 62294, 3223, 696, 15097, 11335, 198, 12, 386, 7828, 13553, 11, 220, 5926, 20, 11, 304, 25, 15179, 64505, 718, 11, 41970, 10864, 29953, 513, 383, 51786, 2939, 2448, 383, 473, 9603, 2203, 25641, 11, 220, 5162, 17, 320, 26368, 1796, 6383, 13667, 705, 17401, 320, 5608, 49, 11628, 18408, 340, 12, 8574, 97220, 69, 50341, 22945, 951, 16566, 266, 1764, 48994, 11, 220, 6393, 23, 320, 55218, 897, 13, 6383, 23698, 62294, 3223, 11, 473, 9603, 81985, 73143, 220, 16, 705, 17401, 320, 5608, 49, 11628, 18408, 340, 12, 13031, 60920, 1900, 57367, 2171, 14304, 11, 2211, 13, 220, 6393, 24, 11, 47913, 323, 17401, 320, 5608, 49, 11628, 18408, 340, 12, 24277, 809, 17007, 304, 3771, 677, 278, 11, 2211, 13, 220, 6280, 15, 11, 47913, 320, 5608, 49, 11628, 18408, 340, 12, 32480, 2761, 65577, 90389, 11, 220, 6280, 16, 320, 55218, 897, 13, 6383, 23698, 62294, 3223, 11, 473, 9603, 81985, 73143, 340, 12, 8574, 473, 12828, 491, 1494, 3423, 951, 13101, 54213, 386, 2112, 13, 220, 6280, 23, 320, 55218, 897, 13, 6383, 23698, 62294, 3223, 11, 473, 9603, 81985, 73143, 340, 12, 8574, 99459, 737, 14894, 11, 220, 5162, 21, 11, 47913, 320, 5608, 49, 11628, 18408, 696, 1360, 325, 198, 12, 8574, 25398, 3029, 11253, 81644, 480, 49353, 13, 9939, 89, 91885, 2234, 13, 91990, 51984, 6383, 13667, 11, 220, 5926, 20, 627, 12, 6914, 90382, 70029, 39049, 13, 4723, 16046, 13, 91990, 51984, 6383, 13667, 11, 220, 5926, 23, 627, 12, 19537, 3263, 12843, 53864, 13, 9939, 89, 91885, 2234, 13, 91990, 51984, 6383, 13667, 11, 220, 7285, 18, 627, 12, 8574, 1283, 318, 82212, 261, 13, 9939, 89, 91885, 11856, 13, 60920, 587, 18022, 424, 13667, 11, 220, 6393, 19, 627, 12, 426, 22284, 818, 37208, 66414, 13, 51342, 13, 58771, 6383, 23698, 62294, 3223, 11, 220, 4468, 20, 11, 34526, 4194, 18, 12, 18245, 12, 17248, 1644, 12, 21, 627, 12, 27446, 483, 8489, 268, 7367, 2486, 61626, 8156, 951, 66414, 13, 51342, 13, 58771, 6383, 23698, 62294, 3223, 11, 220, 4468, 21, 627, 12, 8574, 386, 6339, 951, 5124, 12119, 45336, 388, 13, 11775, 13, 58771, 6383, 23698, 62294, 3223, 11, 220, 3753, 16, 11, 34526, 4194, 18, 12, 18245, 12, 15101, 4103, 12, 20, 382, 33, 699, 65, 91460, 323, 1647, 67245, 198, 12, 81263, 406, 261, 432, 2734, 531, 11, 3263, 74608, 304, 32108, 29931, 13, 5124, 16461, 80998, 6383, 13667, 11, 220, 5162, 17, 198, 12, 51970, 49782, 8910, 13, 80474, 424, 13667, 11, 220, 5162, 22, 198, 12, 468, 13327, 438, 52475, 13, 21097, 24233, 89285, 2073, 2009, 84314, 13, 432, 1780, 468, 8154, 6915, 6383, 13667, 11, 220, 4468, 15, 198, 12, 8574, 800, 21493, 70, 5408, 60920, 1900, 3376, 220, 6280, 15, 4235, 4468, 17, 13, 92508, 441, 424, 13667, 11, 220, 4468, 17, 11, 34526, 4194, 18, 12, 24216, 20, 12, 6726, 18, 12, 24, 198, 12, 3842, 4656, 93952, 11, 33305, 9939, 718, 5124, 2357, 809, 25, 50471, 3453, 58780, 13, 21031, 652, 95750, 5568, 33305, 9939, 718, 5124, 2357, 809, 13, 328, 13, 63016, 6383, 13667, 11, 220, 4468, 19, 11, 34526, 4194, 18, 12, 605, 12, 15901, 12405, 12, 24, 271, 6618, 198, 12, 5124, 12119, 20898, 273, 11, 473, 9603, 2203, 25641, 320, 28897, 11, 7855, 11335, 8, 304, 1403, 27378, 17, 426, 91460, 11, 58771, 6383, 23698, 62294, 3223, 220, 5162, 22, 1432, 567, 48132, 198, 12, 7043, 469, 1291, 18022, 25, 79030, 2761, 11680, 86, 62911, 22412, 68875, 21740, 1130, 473, 27538, 21215, 2073, 951, 473, 27538, 35180, 328, 13, 356, 13, 26560, 1609, 2761, 70891, 473, 27538, 35180, 31242, 330, 33179, 689, 1, 2073, 330, 50, 361, 20708, 1, 16419, 220, 1954, 13, 800, 2130, 2234, 17692, 478, 2761, 330, 33179, 689, 3343, 83239, 11529, 27538, 21215, 220, 5162, 16, 627, 12, 2418, 29093, 480, 13, 18989, 32932, 25, 435, 1412, 12021, 69, 69695, 951, 31242, 6063, 689, 473, 27538, 21215, 220, 1049, 21, 4286, 567, 47470, 198, 12, 3842, 4656, 93952, 25, 50471, 3453, 58780, 13, 21031, 652, 95750, 5568, 33305, 9939, 718, 5124, 2357, 809, 13, 328, 13, 63016, 11, 56284, 1097, 4802, 220, 4468, 19, 198, 12, 16991, 41752, 16852, 606, 7826, 278, 61373, 320, 1049, 20, 570, 330, 31224, 2357, 809, 11, 33305, 9939, 718, 3343, 76663, 58771, 12371, 3257, 648, 320, 258, 6063, 570, 11119, 13, 4194, 1313, 13, 20437, 25, 29838, 15512, 612, 20449, 2067, 354, 13, 12086, 13, 4194, 21164, 4235, 20998, 13, 4194, 30007, 1495, 2930, 4390, 12, 74210, 735, 8669, 25, 19537, 735, 77531, 2635, 62714, 16419, 423, 12429, 51659, 13, 36880, 4208, 574, 14230, 2073, 14375, 220, 6393, 20, 13, 63016, 11, 56284, 1097, 4802, 220, 1049, 22, 11, 34526, 4194, 17272, 12, 18, 12, 605, 12, 21602, 17470, 12, 20, 11, 281, 13, 220, 21164, 198, 12, 35131, 16991, 14172, 31779, 261, 11, 58463, 6675, 800, 299, 71, 1195, 320, 291, 13, 1680, 33305, 9939, 718, 5124, 2357, 809, 16419, 220, 845, 13, 85232, 89, 220, 4468, 16, 13, 435, 18450, 83950, 13, 92508, 441, 11, 393, 9054, 29018, 220, 4468, 16, 198, 12, 97156, 432, 14625, 276, 25, 52410, 69617, 38571, 29234, 85567, 13, 13031, 80210, 266, 25840, 2073, 3331, 396, 20995, 33305, 9939, 718, 5124, 2357, 809, 13, 468, 80848, 51195, 6383, 13667, 350, 7401, 320, 54, 21089, 705, 350, 7401, 220, 2550, 24, 198, 12, 33305, 9939, 718, 5124, 2357, 809, 25, 426, 22284, 818, 37208, 66414, 13, 9939, 4481, 11856, 13, 58771, 6383, 23698, 59016, 267, 3223, 11, 83239, 220, 4468, 20, 627, 12, 20643, 80835, 25, 30397, 27446, 8799, 13, 52410, 12371, 120492, 13, 320, 35, 43840, 25, 30397, 27446, 8799, 2073, 2815, 468, 2448, 3423, 880, 7881, 10782, 60920, 1900, 3376, 220, 5162, 19, 4235, 4468, 20, 705, 5124, 1751, 10948, 11, 4802, 89, 220, 1049, 22, 198, 12, 1283, 41622, 30605, 11289, 441, 25, 304, 330, 23376, 2448, 383, 473, 9603, 2203, 25641, 498, 7043, 1796, 424, 13667, 11, 90366, 220, 5162, 17, 198, 12, 8096, 33518, 52757, 11, 35131, 383, 41622, 435, 54252, 25, 20602, 42237, 29222, 56414, 383, 330, 626, 55243, 737, 423, 12429, 51659, 25, 8574, 18798, 466, 15893, 333, 2234, 498, 220, 3753, 18, 627, 12, 452, 3590, 58771, 12371, 3257, 648, 15179, 54, 38377, 9939, 718, 5124, 2357, 809, 2118, 627, 12, 20643, 80835, 25, 30397, 27446, 8799, 13, 52410, 12371, 120492, 13, 5124, 1751, 10948, 1432, 567, 45565, 198, 12, 35131, 16991, 14172, 31779, 261, 320, 2239, 705, 33305, 432, 2448, 9783, 320, 19612, 1680, 33305, 9939, 718, 5124, 2357, 809, 12666, 8574, 578, 266, 531, 13827, 37208, 52683, 939, 618, 77, 9608, 452, 22970, 47364, 944, 11, 1901, 5375, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 480, 1540, 5697, 17533, 115712, 198, 38, 1540, 5697, 17533, 115712, 320, 72239, 20018, 510, 133, 94, 9769, 135, 238, 81, 133, 110, 64, 135, 238, 294, 131, 242, 14720, 134, 233, 64, 1145, 330, 14585, 17533, 115712, 909, 374, 832, 315, 279, 27536, 315, 89718, 32575, 11, 58311, 13, 720, 2181, 374, 7559, 304, 279, 87244, 961, 315, 279, 3363, 323, 706, 220, 5547, 11, 25496, 40771, 320, 679, 16, 44702, 570, 4815, 567, 52941, 13096, 198, 791, 9474, 374, 24306, 315, 279, 2768, 33100, 320, 76, 21297, 7907, 297, 2042, 13915, 997, 12, 77018, 1009, 66, 482, 72995, 58067, 4175, 198, 12, 100713, 84, 110032, 3841, 198, 12, 71507, 1009, 66, 198, 12, 17533, 762, 198, 12, 17533, 115712, 482, 274, 65699, 11906, 668, 320, 3133, 340, 12, 480, 1540, 5697, 17533, 115712, 198, 12, 2895, 2194, 11906, 2259, 198, 12, 2895, 2194, 11906, 53977, 4723, 14966, 198, 12, 29041, 13637, 198, 12, 386, 8869, 58067, 4175, 198, 12, 4723, 974, 35853, 198, 12, 507, 4406, 1009, 66, 198, 12, 3735, 23685, 560, 198, 12, 20783, 6780, 6117, 198, 12, 1183, 39142, 13453, 3074, 198, 12, 1901, 8564, 72, 293, 20894, 797, 271, 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 ]
[ 128000, 2, 11035, 287, 520, 279, 220, 1049, 21, 14875, 11871, 1389, 11258, 596, 1080, 87, 1752, 3116, 198, 791, 3026, 596, 1080, 87, 1752, 3116, 10937, 520, 279, 220, 1049, 21, 14875, 11871, 304, 423, 66183, 574, 5762, 505, 220, 18, 6790, 311, 220, 22, 6790, 520, 279, 4410, 9332, 445, 68513, 627, 12834, 423, 66183, 574, 59290, 315, 3090, 279, 6138, 1047, 311, 387, 66663, 505, 5410, 220, 1049, 15, 20645, 311, 220, 1041, 15, 20645, 382, 567, 24416, 198, 2460, 3115, 527, 23931, 12028, 4212, 320, 21872, 10, 2839, 25, 410, 340, 91, 2696, 2611, 765, 4212, 220, 765, 3749, 415, 9432, 91, 14730, 23573, 765, 35803, 765, 44889, 9432, 91, 7418, 11, 220, 18, 6790, 220, 1049, 21, 256, 765, 220, 845, 25, 605, 765, 1283, 1900, 415, 9432, 91, 7159, 11, 220, 19, 6790, 220, 1049, 21, 256, 765, 220, 868, 25, 508, 765, 1050, 375, 331, 1154, 9432, 91, 7742, 11, 220, 20, 6790, 220, 1049, 21, 220, 765, 220, 868, 25, 1272, 765, 14582, 333, 24624, 9432, 91, 7950, 11, 220, 22, 6790, 220, 1049, 21, 765, 220, 605, 25, 508, 765, 46147, 257, 765, 1432, 567, 18591, 271, 14711, 1283, 1900, 198, 12, 20143, 2461, 25, 220, 16, 4235, 17, 11651, 14582, 333, 24624, 362, 16675, 320, 7934, 16675, 705, 220, 18, 4235, 19, 11651, 1050, 375, 331, 1154, 320, 49, 3707, 827, 27162, 220, 16, 198, 91, 19856, 765, 8068, 5351, 4391, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 16974, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 6457, 320, 41, 18378, 8, 9787, 28372, 99938, 31866, 9787, 816, 45644, 473, 343, 1003, 16618, 3105, 9787, 432, 564, 2868, 71, 7777, 372, 5808, 9787, 74108, 258, 13915, 328, 4428, 260, 765, 220, 18, 25, 1544, 13, 5332, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 4987, 12126, 320, 42, 878, 8, 9787, 33680, 7695, 12, 441, 359, 9787, 12044, 96660, 12, 49874, 9787, 735, 55767, 10320, 3178, 13636, 2234, 9787, 21296, 44472, 2902, 359, 260, 765, 220, 18, 25, 843, 13, 2983, 765, 16998, 16675, 220, 9432, 91, 220, 18, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 1881, 765, 220, 18, 25, 1758, 13, 1691, 765, 432, 257, 9432, 91, 220, 19, 262, 765, 23315, 320, 53, 5484, 8, 9787, 119644, 51427, 59606, 118437, 70343, 9787, 105947, 51427, 59606, 473, 4168, 9787, 105947, 111978, 104491, 9787, 105947, 106422, 114425, 765, 220, 18, 25, 1774, 13, 5495, 765, 432, 257, 765, 1432, 827, 27162, 220, 17, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 5734, 320, 2198, 45, 8, 9787, 356, 2005, 69054, 71, 2005, 9787, 17360, 473, 2005, 9787, 77547, 921, 10602, 41287, 9787, 1283, 48934, 1408, 765, 220, 18, 25, 508, 13, 5932, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 90959, 9121, 320, 117983, 33, 8, 9787, 90678, 74976, 14910, 462, 71, 9787, 55371, 16618, 8211, 352, 5230, 9787, 13041, 20717, 1003, 88, 869, 9787, 74529, 350, 8503, 257, 765, 220, 18, 25, 914, 13, 2371, 765, 16998, 16675, 220, 9432, 91, 220, 18, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 18, 25, 1544, 13, 4161, 765, 432, 257, 9432, 91, 220, 19, 262, 765, 17076, 320, 8201, 42, 8, 9787, 21252, 404, 41769, 9787, 36831, 1666, 329, 25273, 9787, 452, 2706, 266, 13528, 318, 9787, 36831, 63140, 301, 76086, 220, 765, 220, 18, 25, 3174, 13, 966, 765, 432, 257, 765, 1432, 827, 27162, 220, 18, 198, 91, 19856, 765, 8068, 14984, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 24793, 4521, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 6890, 320, 5358, 8, 9787, 44327, 2227, 4385, 52022, 16965, 9787, 25937, 321, 62064, 19285, 9787, 74874, 71, 3841, 295, 27992, 9787, 13479, 819, 28978, 6151, 765, 220, 18, 25, 1691, 13, 2839, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 24922, 320, 33004, 8, 9787, 11355, 11166, 36409, 9787, 8279, 37489, 9787, 96757, 8512, 258, 9787, 2209, 86, 65674, 2342, 765, 220, 18, 25, 1591, 13, 5833, 765, 16998, 16675, 220, 9432, 91, 220, 18, 262, 765, 10471, 320, 2871, 40, 8, 9787, 362, 1083, 21456, 276, 55619, 9787, 94286, 393, 3036, 276, 9787, 1676, 1543, 386, 564, 427, 12273, 9787, 37617, 258, 1901, 548, 20568, 256, 765, 220, 18, 25, 2790, 13, 777, 765, 432, 257, 765, 1432, 14711, 1050, 375, 331, 1154, 198, 12, 20143, 2461, 25, 220, 16, 11651, 14582, 333, 24624, 362, 16675, 320, 7934, 16675, 705, 220, 17, 4235, 18, 11651, 13321, 356, 320, 6897, 3707, 827, 1050, 375, 331, 425, 220, 16, 198, 91, 19856, 765, 8068, 5351, 3909, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 515, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 1835, 765, 220, 18, 25, 2437, 13, 2075, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 17076, 320, 8201, 42, 8, 9787, 21252, 404, 41769, 9787, 36831, 1666, 329, 25273, 9787, 452, 2706, 266, 13528, 318, 9787, 36831, 63140, 301, 76086, 765, 220, 18, 25, 2318, 13, 1135, 765, 16396, 262, 9432, 91, 220, 18, 262, 765, 10471, 320, 2871, 40, 8, 9787, 362, 1083, 21456, 276, 55619, 9787, 94286, 393, 3036, 276, 9787, 1676, 1543, 386, 564, 427, 12273, 9787, 37617, 258, 1901, 548, 20568, 310, 765, 220, 18, 25, 1114, 13, 605, 765, 16396, 262, 765, 1432, 827, 1050, 375, 331, 425, 220, 17, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 18, 25, 2437, 13, 1958, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 23315, 320, 53, 5484, 8, 9787, 119644, 51427, 59606, 118437, 70343, 9787, 105947, 51427, 59606, 473, 4168, 9787, 105947, 111978, 104491, 9787, 105947, 106422, 114425, 262, 765, 220, 18, 25, 806, 13, 1682, 765, 16396, 262, 765, 1432, 14711, 14582, 333, 24624, 198, 12, 20143, 2461, 25, 220, 16, 4235, 17, 11651, 13321, 362, 320, 3711, 705, 220, 18, 4235, 19, 11651, 13321, 426, 320, 16606, 3707, 827, 14582, 333, 992, 362, 16675, 220, 16, 198, 91, 19856, 765, 8068, 96529, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 15431, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 6890, 320, 5358, 8, 9787, 44327, 2227, 4385, 52022, 16965, 9787, 25937, 321, 62064, 19285, 9787, 74874, 71, 3841, 295, 27992, 9787, 13479, 819, 28978, 6151, 996, 765, 220, 17, 25, 1135, 13, 3971, 765, 15358, 262, 9432, 91, 220, 17, 262, 765, 6457, 320, 41, 18378, 8, 9787, 28372, 99938, 31866, 9787, 816, 45644, 473, 343, 1003, 16618, 3105, 9787, 432, 564, 2868, 71, 7777, 372, 5808, 9787, 74108, 258, 13915, 328, 4428, 286, 765, 220, 17, 25, 4103, 13, 2304, 765, 15358, 262, 9432, 91, 220, 18, 262, 765, 90959, 9121, 320, 117983, 33, 8, 9787, 90678, 74976, 14910, 462, 71, 9787, 55371, 16618, 8211, 352, 5230, 9787, 13041, 20717, 1003, 88, 869, 9787, 74529, 350, 8503, 765, 220, 17, 25, 3226, 13, 4044, 765, 33021, 262, 9432, 91, 220, 19, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 692, 765, 220, 17, 25, 2970, 13, 806, 765, 33021, 262, 765, 1432, 827, 14582, 333, 992, 362, 16675, 220, 17, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 5734, 320, 2198, 45, 8, 9787, 356, 2005, 69054, 71, 2005, 9787, 17360, 473, 2005, 9787, 77547, 921, 10602, 41287, 9787, 1283, 48934, 1408, 765, 220, 17, 25, 4103, 13, 1032, 765, 15358, 262, 9432, 91, 220, 17, 262, 765, 24922, 320, 33004, 8, 9787, 11355, 11166, 36409, 9787, 8279, 37489, 9787, 96757, 8512, 258, 9787, 2209, 86, 65674, 5218, 765, 220, 17, 25, 4103, 13, 3487, 765, 15358, 262, 9432, 91, 220, 18, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 17, 25, 2970, 13, 5547, 765, 33021, 262, 9432, 91, 220, 19, 262, 765, 4987, 12126, 320, 42, 878, 8, 9787, 33680, 7695, 12, 441, 359, 9787, 12044, 96660, 12, 49874, 9787, 735, 55767, 10320, 3178, 13636, 2234, 9787, 21296, 44472, 2902, 359, 310, 765, 220, 17, 25, 2946, 13, 4643, 765, 33021, 262, 765, 1432, 14711, 46147, 271, 827, 13321, 356, 198, 91, 19856, 765, 8068, 5351, 3909, 765, 4212, 262, 9432, 91, 11556, 765, 40473, 515, 765, 61258, 9432, 91, 220, 16, 262, 765, 23315, 320, 53, 5484, 8, 9787, 119644, 51427, 59606, 118437, 70343, 9787, 105947, 51427, 59606, 473, 4168, 9787, 105947, 111978, 104491, 9787, 105947, 106422, 114425, 256, 765, 220, 18, 25, 508, 13, 2096, 9432, 91, 220, 17, 262, 765, 17076, 320, 8201, 42, 8, 9787, 21252, 404, 41769, 9787, 36831, 1666, 329, 25273, 9787, 452, 2706, 266, 13528, 318, 9787, 36831, 63140, 301, 76086, 765, 220, 18, 25, 966, 13, 1721, 9432, 91, 220, 18, 262, 765, 10471, 320, 2871, 40, 8, 9787, 362, 1083, 21456, 276, 55619, 9787, 94286, 393, 3036, 276, 9787, 1676, 1543, 386, 564, 427, 12273, 9787, 37617, 258, 1901, 548, 20568, 310, 765, 220, 18, 25, 1644, 13, 1490, 765, 1432, 827, 13321, 426, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 9432, 91, 220, 16, 262, 765, 90959, 9121, 320, 117983, 33, 8, 9787, 90678, 74976, 14910, 462, 71, 9787, 55371, 16618, 8211, 352, 5230, 9787, 13041, 20717, 1003, 88, 869, 9787, 74529, 350, 8503, 257, 765, 220, 18, 25, 1313, 13, 4578, 9432, 91, 220, 17, 262, 765, 4987, 12126, 320, 42, 878, 8, 9787, 33680, 7695, 12, 441, 359, 9787, 12044, 96660, 12, 49874, 9787, 735, 55767, 10320, 3178, 13636, 2234, 9787, 21296, 44472, 2902, 359, 310, 765, 220, 18, 25, 1187, 13, 845, 9432, 91, 220, 18, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 18, 25, 914, 13, 806, 9432, 91, 220, 19, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 1078, 765, 220, 18, 25, 1544, 13, 5332, 765, 1432, 827, 13321, 362, 198, 91, 19856, 3586, 765, 8068, 14984, 765, 4212, 262, 9432, 91, 14730, 20098, 765, 24793, 4521, 765, 61258, 9432, 91, 220, 16, 267, 2035, 11, 6761, 37712, 380, 1161, 8, 256, 765, 6457, 320, 41, 18378, 8, 9787, 28372, 99938, 31866, 9787, 816, 45644, 473, 343, 1003, 16618, 3105, 9787, 432, 564, 2868, 71, 7777, 372, 5808, 9787, 74108, 258, 13915, 328, 4428, 220, 765, 220, 18, 25, 2371, 13, 2166, 9432, 91, 220, 17, 303, 2035, 11, 15310, 37712, 380, 1161, 8, 765, 6890, 320, 5358, 8, 9787, 44327, 2227, 4385, 52022, 16965, 9787, 25937, 321, 62064, 19285, 9787, 74874, 71, 3841, 295, 27992, 9787, 13479, 819, 28978, 6151, 765, 220, 18, 25, 2318, 13, 3264, 9432, 91, 220, 18, 6634, 2035, 11, 40907, 37712, 380, 1161, 8, 765, 24922, 320, 33004, 8, 9787, 11355, 11166, 36409, 9787, 8279, 37489, 9787, 96757, 8512, 258, 9787, 2209, 86, 65674, 2342, 765, 220, 18, 25, 2545, 13, 6069, 9432, 91, 220, 19, 6663, 765, 5734, 320, 2198, 45, 8, 9787, 356, 2005, 69054, 71, 2005, 9787, 17360, 473, 2005, 9787, 77547, 921, 10602, 41287, 9787, 1283, 48934, 2611, 765, 220, 18, 25, 2545, 13, 3264, 36821, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 41677, 520, 41677, 432, 198, 49, 266, 520, 41677, 432, 574, 264, 2360, 32418, 7200, 14454, 304, 220, 3753, 16, 555, 62740, 33412, 52212, 2442, 7870, 13, 578, 4731, 315, 41677, 520, 41677, 432, 649, 1888, 387, 7633, 439, 17418, 36185, 12248, 4731, 477, 12248, 7091, 4731, 382, 567, 11346, 198, 38363, 305, 14612, 505, 21750, 10481, 11, 20355, 11, 814, 15453, 70209, 311, 19895, 11, 719, 279, 7200, 5246, 70209, 311, 1561, 4356, 4409, 596, 28636, 6460, 17072, 311, 5249, 279, 34385, 12248, 7091, 6237, 11, 449, 44317, 30160, 11, 11406, 61891, 11, 323, 4593, 598, 11, 4315, 872, 59504, 5548, 13, 41677, 520, 41677, 432, 1051, 21420, 45518, 520, 22024, 5494, 753, 627, 49, 266, 520, 41677, 432, 706, 18273, 7902, 311, 12637, 21750, 10481, 10068, 11, 279, 33670, 2427, 42441, 2360, 32418, 40550, 40208, 3320, 64345, 13, 3320, 64345, 596, 36271, 11, 328, 18693, 48693, 942, 6476, 22253, 304, 41677, 2468, 41677, 432, 3156, 220, 3753, 23, 994, 1364, 2163, 311, 1514, 22253, 304, 11406, 61891, 13, 48693, 942, 574, 12860, 555, 33305, 328, 575, 805, 627, 35897, 659, 2442, 15621, 8176, 41677, 2468, 41677, 432, 574, 9124, 555, 60629, 19859, 23597, 4951, 35846, 380, 6941, 328, 91674, 13, 6941, 20462, 6476, 47389, 389, 279, 220, 2550, 16, 4984, 11, 25935, 6941, 41677, 11, 28191, 627, 35897, 17755, 8176, 574, 312, 59326, 389, 37355, 56476, 469, 5964, 299, 22293, 627, 644, 220, 679, 17, 279, 69046, 6941, 41677, 7882, 311, 32164, 311, 636, 12502, 11, 323, 3010, 7882, 311, 16327, 13, 6104, 5496, 304, 69173, 65717, 568, 12715, 279, 8176, 578, 3723, 473, 988, 13, 362, 25999, 4632, 574, 1903, 555, 76926, 393, 3178, 42930, 11, 2663, 6941, 41677, 25545, 65624, 382, 567, 11997, 5814, 271, 14711, 87823, 198, 12, 50873, 3, 579, 611, 9305, 612, 15028, 374, 15371, 11, 5843, 11406, 41677, 520, 41677, 432, 482, 320, 12852, 11, 59794, 11, 220, 3753, 20, 340, 12, 33590, 12783, 482, 320, 717, 1, 19613, 11, 14874, 713, 11628, 801, 9130, 11, 220, 3753, 23, 340, 12, 41677, 520, 41677, 432, 482, 320, 6620, 7586, 47, 11, 14874, 713, 11628, 801, 9130, 11, 220, 2550, 16, 340, 12, 50873, 3, 579, 611, 9305, 612, 15028, 374, 15371, 11, 5843, 11406, 41677, 520, 41677, 432, 482, 320, 6620, 11, 469, 5964, 299, 22293, 11, 220, 679, 17, 3707, 567, 15819, 18790, 198, 16, 13, 220, 16, 220, 17, 256, 41677, 2468, 41677, 432, 5643, 520, 11997, 27403, 198, 17, 13, 220, 16, 220, 17, 220, 356, 57572, 11, 17478, 320, 34827, 220, 24, 11, 220, 679, 17, 570, 330, 791, 54501, 11346, 315, 41677, 2468, 41677, 432, 25, 578, 34385, 8437, 689, 12, 3438, 14722, 51623, 11151, 1197, 38099, 33292, 349, 279, 1050, 90465, 315, 11205, 220, 3753, 20, 1611, 8248, 11, 50873, 3, 579, 3343, 578, 25036, 29030, 13, 58891, 7552, 220, 975, 11, 220, 2366, 16, 382, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2, 5031, 3023, 283, 198, 6728, 3023, 283, 11, 477, 304, 14916, 32435, 436, 2846, 78, 30872, 114541, 11, 374, 264, 49162, 17604, 505, 279, 11680, 315, 473, 5976, 627, 2181, 75549, 1202, 836, 505, 279, 1005, 315, 14403, 505, 264, 2132, 7625, 10789, 10887, 220, 868, 4520, 1306, 279, 13783, 7625, 10789, 13, 32140, 279, 9935, 263, 19120, 436, 11620, 30872, 67, 7438, 330, 998, 312, 1474, 34263, 3343, 1115, 17604, 50542, 220, 1049, 311, 220, 2636, 342, 13, 3277, 433, 374, 38593, 449, 12290, 433, 5334, 264, 3831, 12945, 11, 323, 994, 38593, 449, 14403, 433, 13912, 264, 23900, 12945, 13, 1102, 374, 3629, 6216, 304, 9863, 627, 2181, 1511, 311, 387, 2663, 34426, 354, 323, 574, 9076, 439, 264, 8352, 13, 18156, 2663, 5659, 425, 409, 473, 5976, 320, 1557, 2423, 315, 473, 5976, 705, 433, 574, 9967, 7878, 555, 49162, 42870, 323, 6216, 304, 29827, 12098, 627, 6728, 3023, 283, 574, 3118, 520, 279, 87647, 323, 56284, 282, 4825, 304, 279, 220, 1114, 339, 9478, 11, 1405, 433, 574, 31207, 555, 473, 5976, 3026, 369, 16071, 12711, 36952, 11, 323, 304, 445, 91122, 1405, 279, 473, 5976, 42870, 1051, 2663, 305, 7403, 19342, 13, 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 ]

[ 128000, 2, 24565, 7762, 198, 67660, 31164, 7762, 320, 16381, 220, 19, 6287, 220, 4468, 15, 8, 374, 264, 4846, 4987, 11904, 1589, 875, 1430, 889, 6476, 304, 1403, 3475, 9248, 323, 1403, 3861, 6187, 4514, 367, 1147, 13, 1283, 574, 264, 5043, 11, 19738, 15631, 1565, 323, 14454, 264, 54829, 8736, 15664, 449, 12131, 13358, 616, 369, 4149, 6723, 278, 304, 279, 4216, 220, 2550, 15, 82, 11, 439, 814, 6818, 311, 1421, 12114, 279, 27025, 315, 279, 364, 19312, 13257, 6, 1667, 13, 1283, 1903, 813, 3475, 17755, 2403, 1561, 17340, 2391, 279, 220, 2550, 19, 4235, 2721, 3280, 11, 4737, 4330, 289, 17938, 304, 279, 4948, 3475, 13, 1283, 574, 34707, 311, 617, 813, 7076, 72359, 449, 430, 315, 61325, 9641, 11, 323, 433, 574, 1243, 4018, 2875, 4245, 311, 11134, 13, 5414, 1176, 15144, 7076, 9575, 19212, 8254, 15956, 304, 902, 568, 3952, 220, 12533, 289, 17938, 449, 264, 1888, 315, 220, 23, 369, 220, 3971, 2403, 18516, 38894, 13, 763, 813, 1403, 3861, 6187, 4514, 367, 1147, 2391, 279, 88430, 56204, 304, 220, 2550, 20, 568, 3952, 2380, 289, 17938, 13, 1283, 18677, 41061, 6798, 5234, 6150, 304, 20742, 6993, 627, 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 ]

[ 128000, 2, 42893, 393, 3328, 1432, 49, 952, 393, 3328, 320, 41512, 8046, 36035, 11355, 393, 3328, 705, 356, 11855, 11, 17067, 8143, 320, 22, 6841, 220, 9378, 22, 1389, 220, 1682, 7552, 220, 2550, 17, 8, 574, 264, 8013, 40360, 627, 8100, 574, 279, 1176, 5333, 311, 5371, 279, 16657, 596, 7573, 17867, 369, 68787, 304, 220, 6280, 20, 11, 323, 574, 21489, 356, 11855, 304, 220, 4468, 24, 311, 34662, 1077, 1690, 19564, 311, 6498, 17649, 13, 763, 220, 4468, 19, 11, 1364, 574, 7086, 264, 330, 1110, 41890, 315, 47470, 498, 279, 8592, 34662, 2728, 555, 279, 16591, 13581, 315, 47470, 382, 567, 23591, 2324, 323, 6873, 198, 47, 3328, 574, 9405, 304, 7695, 8350, 11, 74665, 315, 2380, 2911, 315, 10058, 393, 3328, 320, 9714, 17, 4235, 5926, 21, 8, 323, 813, 7555, 9928, 10994, 16870, 27625, 16870, 309, 1263, 320, 77, 8047, 111658, 852, 657, 26, 220, 9714, 24, 4235, 6393, 16, 705, 2225, 18328, 13639, 304, 279, 6460, 4060, 315, 7295, 13, 3005, 14264, 709, 304, 330, 5481, 269, 40190, 498, 719, 330, 1964, 20587, 574, 1380, 915, 3149, 1, 555, 42687, 473, 467, 957, 20585, 11, 902, 1364, 6646, 330, 31606, 950, 3343, 6385, 7342, 16125, 6821, 1077, 2728, 836, 5042, 439, 330, 49, 952, 1210, 3005, 574, 33142, 520, 279, 47051, 1540, 6150, 11, 18943, 382, 567, 41576, 198, 47, 3328, 574, 20011, 520, 279, 5111, 8410, 505, 220, 7529, 20, 311, 220, 7529, 22, 11, 3010, 3318, 439, 264, 30581, 520, 264, 14891, 2883, 304, 81883, 11, 14916, 1941, 21878, 5250, 15969, 14020, 18080, 3623, 2637, 1405, 1364, 14958, 3156, 220, 7285, 15, 13, 763, 81883, 11, 1364, 58046, 462, 2954, 12131, 323, 358, 3315, 42969, 520, 4987, 86, 820, 11, 279, 6699, 315, 10058, 83853, 11, 323, 3010, 9087, 83853, 1505, 36132, 53933, 304, 7295, 304, 220, 5926, 22, 11, 4737, 264, 40146, 2802, 304, 813, 4477, 11, 315, 902, 1364, 574, 8965, 9200, 627, 31082, 11, 393, 3328, 323, 1077, 51263, 1695, 4333, 11, 65163, 507, 68070, 5169, 11, 24026, 1611, 2194, 323, 8371, 3751, 11, 264, 2678, 7626, 430, 89004, 304, 46536, 11, 24937, 14891, 13, 578, 2626, 8036, 994, 4435, 5111, 8105, 6137, 13, 220, 393, 3328, 3952, 990, 304, 264, 8803, 13, 4740, 279, 4208, 11, 1364, 323, 507, 68070, 5169, 9107, 264, 2678, 2626, 19354, 92825, 13, 220, 393, 3328, 574, 1940, 321, 1285, 520, 279, 23153, 2320, 71959, 1511, 304, 2225, 14891, 323, 35788, 49682, 627, 3915, 220, 6393, 21, 311, 220, 4468, 17, 11, 1364, 574, 3629, 264, 8810, 389, 18588, 9063, 38737, 11, 323, 505, 220, 6280, 21, 311, 220, 5162, 15, 1364, 9922, 15870, 389, 279, 18588, 596, 578, 3320, 1771, 17236, 11, 832, 315, 279, 1176, 12707, 3137, 38737, 382, 567, 14128, 295, 198, 47, 3328, 6137, 4477, 32349, 4216, 304, 2324, 1234, 279, 10383, 315, 1077, 2978, 24247, 6699, 13, 763, 220, 5926, 15, 11, 1364, 4756, 1077, 1176, 2363, 315, 32349, 449, 279, 1520, 315, 473, 10746, 556, 7984, 1092, 13, 18185, 1077, 2626, 323, 8803, 990, 11, 393, 3328, 9152, 311, 8493, 264, 2478, 4207, 264, 1938, 4477, 32349, 627, 8100, 4024, 389, 311, 3498, 220, 972, 27378, 315, 502, 323, 14890, 33487, 927, 264, 220, 2031, 4771, 7076, 439, 264, 4756, 40360, 13, 220, 9176, 315, 1077, 27378, 2322, 449, 1063, 9200, 323, 6020, 2450, 627, 8100, 4036, 279, 86883, 269, 303, 268, 32293, 304, 220, 7285, 22, 369, 362, 56204, 315, 44716, 11, 4756, 279, 3766, 1060, 13, 763, 220, 6280, 19, 1364, 2834, 279, 12656, 469, 13, 64782, 80998, 17768, 369, 1077, 2363, 578, 9939, 6095, 320, 34, 676, 295, 8612, 11, 220, 6280, 18, 3677, 567, 12179, 323, 34453, 198, 47, 3328, 574, 264, 8776, 380, 40360, 26, 1364, 31890, 1455, 315, 279, 9526, 811, 315, 6617, 33487, 323, 15236, 279, 23819, 323, 98034, 31956, 315, 279, 220, 777, 339, 9478, 13, 3861, 9940, 706, 7633, 1077, 323, 1077, 32349, 8617, 512, 47, 3328, 11, 304, 13168, 311, 350, 13, 328, 13, 34362, 354, 11, 85418, 79352, 11, 323, 468, 13, 473, 13, 15416, 268, 11, 374, 264, 8776, 40360, 304, 279, 1584, 315, 10058, 58463, 11, 11355, 17747, 1964, 818, 11, 11355, 58374, 11, 362, 13, 469, 13, 473, 788, 1543, 11, 468, 13, 426, 13, 32269, 1900, 11, 323, 26241, 445, 93421, 13, 27140, 279, 6617, 1705, 11, 1364, 19029, 21896, 449, 23819, 477, 33487, 1376, 11, 6463, 1587, 1364, 13488, 6617, 380, 22100, 477, 3085, 87313, 315, 6617, 6498, 8396, 13, 12361, 11, 1364, 4375, 449, 11537, 20645, 323, 33487, 7739, 11, 323, 1077, 84050, 311, 11857, 1077, 7899, 311, 1833, 304, 279, 6617, 380, 1584, 15100, 304, 961, 3249, 23531, 617, 45536, 1077, 32349, 13, 3005, 374, 539, 58930, 11, 33670, 2427, 42441, 11, 6463, 11, 77085, 11, 737, 2821, 17820, 481, 35192, 110128, 8161, 6342, 11, 330, 791, 10597, 32349, 315, 42893, 393, 3328, 1359, 32186, 323, 47470, 11, 220, 1313, 5651, 220, 1049, 20, 198, 18433, 315, 420, 11, 393, 3328, 574, 14134, 45536, 555, 23531, 315, 1077, 1938, 11, 323, 706, 1193, 304, 3293, 1667, 1027, 3970, 439, 3062, 25, 1077, 17444, 574, 9087, 555, 445, 93421, 596, 5201, 369, 1077, 32349, 320, 383, 5343, 3116, 315, 1077, 45319, 304, 578, 26275, 6017, 315, 12015, 52231, 28200, 6498, 85168, 4390, 8100, 574, 264, 1695, 4333, 315, 356, 13, 328, 13, 21256, 11, 889, 64747, 1077, 32349, 323, 3131, 1071, 11, 4184, 311, 813, 4333, 323, 6160, 42606, 10058, 328, 1155, 11, 430, 422, 568, 574, 279, 3169, 315, 893, 889, 2751, 12502, 11, 568, 1053, 617, 4934, 311, 32918, 42893, 393, 3328, 13, 763, 44818, 1990, 279, 1403, 11, 21256, 3629, 4742, 5118, 291, 1077, 990, 323, 1903, 18726, 13, 4497, 3629, 568, 18719, 1077, 43665, 315, 813, 45319, 13, 393, 3328, 374, 6646, 555, 1690, 21256, 31839, 311, 617, 1047, 459, 2515, 389, 813, 4477, 304, 279, 220, 6393, 15, 82, 323, 220, 6280, 15, 82, 627, 54, 13, 426, 13, 32269, 1900, 11, 17582, 4923, 301, 783, 323, 8888, 66249, 1101, 26893, 393, 3328, 596, 990, 323, 37475, 1077, 32349, 13, 220, 10425, 6941, 90227, 3131, 61414, 430, 393, 3328, 574, 832, 315, 279, 1455, 4113, 323, 7366, 74072, 1243, 5496, 627, 47, 3328, 596, 990, 9731, 311, 387, 4756, 304, 23064, 9268, 11, 2737, 512, 12, 578, 19797, 261, 6017, 315, 220, 508, 339, 28200, 11215, 596, 68787, 11, 1608, 13, 435, 36077, 2467, 38253, 320, 40672, 25, 19797, 261, 612, 19797, 261, 11, 220, 3753, 22, 705, 1405, 1077, 330, 791, 70906, 654, 596, 61891, 1, 323, 330, 85444, 59261, 1, 5101, 320, 604, 13, 4194, 2813, 4235, 2495, 4390, 12, 4497, 68787, 5321, 0, 220, 1041, 32495, 14128, 12116, 505, 279, 18588, 13792, 220, 19, 47516, 320, 40672, 25, 7357, 1543, 11, 220, 3753, 23, 705, 1405, 1077, 330, 791, 432, 799, 78703, 1, 8111, 320, 604, 13, 4194, 4645, 4235, 2437, 4390, 12, 578, 26275, 6017, 315, 19558, 85168, 11, 1608, 13, 3842, 64795, 27690, 320, 46, 23382, 25, 26275, 3907, 8612, 11, 220, 2550, 18, 705, 1405, 1077, 330, 791, 8574, 71, 2402, 1, 323, 330, 11663, 9029, 596, 21396, 37841, 1, 5101, 320, 604, 13, 4194, 14087, 4235, 3174, 4390, 12, 578, 60364, 16989, 2508, 315, 47470, 555, 11215, 25, 578, 15415, 6055, 304, 6498, 11, 220, 17, 303, 14002, 11, 98199, 13, 56786, 386, 13, 46092, 323, 31033, 480, 45597, 320, 3648, 4356, 25, 60364, 11, 220, 2550, 21, 510, 3753, 20, 9918, 1405, 1077, 330, 791, 28058, 5340, 79, 380, 1359, 330, 791, 18088, 23860, 1132, 1359, 330, 18788, 452, 12160, 596, 37340, 1359, 323, 330, 100077, 15255, 43508, 596, 62812, 1, 5101, 320, 604, 13, 4194, 10895, 18, 4235, 2813, 4390, 12, 578, 1561, 71244, 6017, 315, 6498, 85168, 11, 1608, 13, 7043, 6706, 16133, 320, 40672, 25, 20661, 27109, 11, 71244, 8612, 11, 220, 1049, 15, 705, 1405, 1077, 330, 4071, 369, 74355, 1, 8111, 320, 79, 13, 4194, 26366, 50655, 567, 9052, 10082, 34453, 198, 47, 3328, 7633, 1077, 18330, 11897, 311, 356, 13, 328, 13, 21256, 512, 2170, 311, 856, 10082, 11, 358, 42210, 433, 311, 356, 13, 328, 13, 21256, 13, 1789, 1790, 315, 856, 2324, 358, 12439, 810, 477, 2753, 439, 264, 52450, 336, 1122, 11, 719, 994, 279, 2132, 4208, 14760, 704, 11, 21256, 13195, 3892, 3115, 11, 323, 1101, 4756, 1063, 2697, 6603, 320, 1962, 2915, 330, 791, 82798, 9490, 2070, 45397, 4063, 323, 358, 574, 14470, 43770, 13, 358, 3782, 311, 1440, 1461, 16102, 11, 323, 568, 3782, 1618, 3892, 3115, 13, 21256, 596, 7493, 11, 779, 1633, 30311, 719, 2744, 922, 279, 4208, 1990, 1695, 323, 14289, 11, 6244, 264, 15690, 961, 315, 856, 10723, 323, 18330, 7241, 35192, 110128, 35364, 11, 42893, 393, 3328, 311, 13929, 452, 9188, 11, 30105, 220, 972, 3297, 220, 3753, 20, 627, 7131, 358, 3371, 499, 358, 4265, 4529, 311, 32186, 30, 7566, 11, 358, 4024, 612, 2751, 11007, 264, 1060, 4227, 477, 810, 13, 358, 574, 16625, 311, 433, 555, 279, 6958, 315, 356, 13, 328, 13, 21256, 323, 279, 4585, 315, 58701, 13, 46910, 23788, 2363, 91634, 276, 11, 4400, 27555, 49279, 358, 13383, 1148, 264, 28040, 3245, 433, 374, 311, 1935, 389, 11, 719, 358, 649, 956, 13085, 13353, 1203, 13, 1102, 63409, 2053, 264, 2294, 1690, 315, 832, 596, 5906, 4804, 520, 3131, 11, 315, 3388, 25, 719, 433, 12716, 2294, 58165, 11, 2288, 35192, 110128, 35364, 11, 42893, 393, 3328, 311, 452, 48726, 42216, 11, 30105, 220, 16, 6186, 220, 6393, 23, 382, 567, 62926, 5814, 315, 4375, 198, 12, 5629, 14128, 12116, 13, 7295, 25, 90227, 42216, 11, 220, 5926, 15, 627, 12, 5629, 323, 10657, 14128, 12116, 13, 7295, 25, 3005, 291, 612, 27738, 11, 220, 5926, 22, 627, 12, 3700, 325, 4949, 304, 473, 3536, 13, 15801, 2718, 17124, 11, 220, 7285, 16, 627, 12, 362, 9671, 21270, 596, 80074, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 7285, 19, 627, 12, 362, 56204, 315, 44716, 25, 14128, 12116, 220, 5926, 21, 4235, 7285, 20, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 7285, 21, 320, 53245, 315, 279, 86883, 269, 303, 268, 32293, 304, 220, 7285, 22, 4390, 12, 578, 17326, 99360, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 7285, 24, 627, 12, 578, 432, 799, 78703, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6393, 16, 627, 12, 14128, 336, 13, 62251, 25, 76337, 8612, 11, 220, 6393, 18, 627, 12, 578, 20467, 13, 14128, 12116, 220, 7285, 24, 4235, 6393, 19, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6393, 20, 627, 12, 393, 3328, 389, 51849, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6393, 21, 627, 12, 80770, 689, 320, 11425, 82, 505, 362, 56204, 315, 44716, 11, 578, 17326, 99360, 323, 578, 20467, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6280, 15, 627, 12, 578, 9939, 6095, 25, 14128, 12116, 220, 6393, 17, 4235, 6280, 17, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 6280, 18, 320, 53245, 315, 279, 12656, 64782, 80998, 17768, 25, 16657, 596, 7573, 17867, 369, 68787, 11, 220, 6280, 20, 4390, 12, 16782, 555, 28206, 13, 7295, 25, 356, 676, 295, 8612, 11, 220, 5162, 21, 627, 12, 14128, 12116, 220, 5926, 21, 4235, 5162, 21, 13, 7295, 25, 4821, 7379, 612, 9305, 75, 3168, 11547, 676, 295, 8612, 11, 220, 5162, 23, 627, 12, 4060, 315, 423, 6478, 13, 7295, 25, 4821, 7379, 612, 45236, 11, 220, 4468, 20, 627, 12, 362, 32450, 311, 7531, 13, 7295, 25, 2998, 411, 277, 1677, 8612, 11, 220, 3753, 22, 627, 12, 4349, 2258, 14128, 12116, 25, 220, 2550, 15, 13, 32284, 2630, 25, 2998, 411, 277, 1677, 11, 220, 2550, 15, 627, 12, 4349, 2258, 14128, 12116, 13, 7295, 25, 2998, 411, 277, 1677, 11, 220, 2550, 21, 627, 12, 578, 45397, 315, 42893, 393, 3328, 25, 60555, 10948, 13, 220, 66889, 555, 4418, 468, 13, 6342, 13, 220, 65599, 25, 3907, 315, 40838, 8612, 11, 220, 679, 19, 13, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 58222, 5002, 23815, 780, 22872, 198, 791, 58222, 5002, 23815, 780, 22872, 374, 7559, 304, 279, 4219, 315, 279, 58222, 5002, 15679, 4871, 279, 10608, 462, 2099, 44382, 5955, 5764, 2225, 30619, 323, 16166, 34239, 13, 578, 30619, 6485, 4519, 459, 8223, 2922, 2194, 11, 220, 914, 37839, 7463, 323, 264, 8821, 220, 1032, 21117, 43515, 1664, 449, 220, 16, 73601, 323, 220, 18, 73601, 10683, 19826, 627, 791, 16166, 7463, 6485, 17610, 315, 264, 32813, 11, 25944, 1404, 11, 8223, 2922, 2194, 11, 220, 1135, 73601, 7463, 11, 902, 649, 387, 16489, 311, 220, 508, 34125, 11, 220, 717, 315, 902, 6767, 220, 914, 12303, 2402, 323, 5217, 8223, 220, 914, 73601, 34125, 13, 578, 12764, 706, 21685, 12387, 2254, 323, 15481, 43682, 11, 2737, 279, 220, 2550, 24, 18516, 22967, 48854, 323, 279, 220, 1049, 18, 15535, 78, 29908, 11378, 627, 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 ]

[ 128000, 2, 9777, 460, 267, 355, 198, 41041, 460, 267, 355, 374, 264, 64677, 315, 49112, 645, 304, 279, 3070, 28764, 309, 1729, 66, 114405, 11, 8649, 279, 2768, 9606, 512, 12, 9777, 460, 267, 355, 1615, 1002, 355, 3206, 52235, 11, 220, 3753, 20, 198, 12, 9777, 460, 267, 355, 3521, 2053, 355, 3206, 52235, 11, 220, 4468, 23, 198, 12, 9777, 460, 267, 355, 15550, 72, 1015, 480, 9672, 414, 11, 220, 6280, 22, 198, 12, 9777, 460, 267, 355, 514, 22524, 3510, 1015, 3206, 52235, 11, 220, 3753, 20, 198, 12, 9777, 460, 267, 355, 1675, 484, 78028, 3206, 52235, 11, 220, 2550, 15, 271, 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 ]

[ 128000, 2, 76020, 81247, 315, 110425, 650, 1216, 25, 362, 4366, 1094, 198, 37, 39724, 81247, 315, 110425, 650, 1216, 25, 362, 4366, 1094, 555, 469, 13, 445, 13, 7957, 7881, 12711, 374, 264, 67265, 315, 469, 1236, 13, 7957, 6, 76020, 81247, 315, 26769, 13, 1102, 574, 4756, 304, 1194, 323, 384, 34740, 47634, 555, 42592, 362, 13, 13934, 819, 304, 220, 679, 18, 13, 3959, 17890, 389, 1202, 2363, 27300, 439, 330, 4516, 34416, 11, 499, 3358, 7234, 89, 498, 279, 20303, 11775, 11, 902, 11263, 279, 21782, 315, 279, 4113, 76020, 81247, 315, 26769, 11, 10975, 279, 3446, 315, 279, 5133, 1990, 264, 6366, 3995, 5333, 11, 1556, 349, 85, 4657, 35606, 11, 323, 264, 2700, 398, 9145, 301, 13892, 73335, 11, 921, 2706, 15347, 382, 567, 89098, 198, 4599, 4821, 1412, 7926, 10195, 1556, 349, 85, 4657, 35606, 5900, 311, 7274, 921, 2706, 15347, 369, 279, 473, 4618, 75, 39693, 11, 1364, 35006, 264, 20333, 11, 514, 9211, 788, 6506, 315, 264, 9145, 301, 3339, 6136, 13, 46626, 11, 50254, 323, 312, 59952, 315, 305, 14782, 11, 568, 2103, 6439, 449, 813, 6691, 13, 1556, 349, 85, 4657, 14035, 11937, 77297, 6623, 15107, 311, 682, 315, 1521, 29600, 13, 763, 264, 4101, 315, 35006, 11, 921, 2706, 40019, 1556, 349, 85, 4657, 311, 15098, 19018, 7392, 12823, 11, 3629, 16239, 13653, 3691, 323, 13653, 25425, 13, 1283, 1101, 17501, 1077, 311, 1879, 264, 735, 39134, 68184, 82424, 43529, 704, 872, 20081, 7392, 30255, 13, 2468, 3115, 11, 568, 1446, 268, 3536, 1077, 449, 87163, 5849, 4731, 389, 813, 88099, 13, 1666, 279, 3021, 3446, 68711, 11, 433, 27115, 21667, 279, 8125, 369, 921, 2706, 15347, 596, 9358, 51978, 323, 18247, 29150, 7865, 382, 567, 77051, 198, 44594, 1705, 323, 60138, 304, 279, 549, 815, 2637, 7008, 323, 25355, 617, 9932, 279, 88990, 315, 279, 76020, 81247, 6603, 304, 264, 8965, 6928, 1648, 13, 76020, 81247, 315, 110425, 650, 1216, 25, 362, 4366, 1094, 574, 1101, 22628, 323, 1202, 3504, 1511, 389, 279, 37746, 7497, 3997, 596, 10401, 315, 76020, 81247, 315, 26769, 323, 1202, 1370, 10233, 13, 1556, 50565, 9922, 389, 279, 13653, 89489, 3997, 8117, 4744, 3074, 2726, 389, 5587, 220, 24, 11, 220, 679, 20, 627, 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 ]

[ 128000, 2, 13528, 318, 30594, 283, 198, 77489, 318, 30594, 283, 11, 1101, 3967, 439, 13528, 318, 20774, 408, 84, 11, 320, 7098, 69391, 25, 88041, 113690, 111116, 12942, 11, 34725, 25, 107326, 101626, 101055, 5372, 100609, 26, 9405, 3297, 220, 1544, 11, 220, 3753, 21, 8, 374, 459, 59609, 1122, 4846, 6721, 9141, 261, 889, 6476, 439, 264, 45067, 382, 567, 19758, 198, 39, 408, 283, 574, 9405, 304, 82299, 4918, 11, 81341, 311, 459, 59609, 1122, 7126, 323, 264, 52, 10056, 467, 1122, 6691, 13, 5414, 3070, 7882, 311, 19278, 994, 568, 574, 264, 1716, 11, 323, 30594, 283, 12439, 1070, 369, 220, 717, 1667, 1603, 7366, 1203, 311, 81341, 311, 1514, 369, 12438, 4072, 12371, 277, 627, 1548, 11096, 2326, 44, 4072, 15591, 613, 304, 220, 1049, 24, 382, 567, 7327, 7076, 198, 644, 220, 1049, 19, 11, 30594, 283, 574, 61246, 555, 19278, 520, 279, 9636, 12, 972, 2237, 11, 3339, 4848, 27351, 627, 644, 220, 1049, 24, 11, 568, 574, 2663, 709, 311, 279, 59609, 1122, 362, 6, 5426, 2128, 323, 6476, 304, 264, 11919, 2403, 12438, 41536, 67577, 382, 567, 16958, 2530, 198, 2078, 44, 4072, 15591, 613, 198, 12, 59609, 1122, 11098, 23055, 5352, 25, 220, 679, 16, 271, 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 ]

[ 128000, 2, 10640, 426, 396, 526, 198, 16683, 426, 396, 526, 320, 30700, 352, 25, 22450, 2234, 426, 396, 526, 8, 374, 264, 16700, 389, 279, 3973, 315, 279, 5415, 315, 735, 291, 1494, 323, 3700, 587, 304, 279, 426, 396, 526, 41114, 11, 28796, 11, 11951, 389, 279, 28181, 462, 2837, 1990, 279, 27536, 315, 85606, 318, 11, 426, 6260, 11, 32404, 332, 11, 7011, 526, 323, 24082, 3105, 323, 78492, 3700, 587, 13, 11699, 30048, 374, 220, 16, 11, 24071, 105275, 320, 21, 11, 7743, 4194, 728, 8, 3485, 9581, 2237, 13, 1102, 374, 279, 8592, 16700, 304, 279, 1614, 315, 735, 291, 1494, 627, 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 ]

[ 128000, 2, 48035, 689, 281, 440, 258, 51456, 285, 198, 38, 404, 689, 374, 264, 1647, 37941, 292, 98178, 64677, 315, 279, 3070, 469, 32575, 114405, 66906, 555, 7957, 13759, 819, 48069, 435, 675, 66, 7211, 304, 220, 7529, 21, 13, 11699, 1193, 9606, 11, 48035, 689, 281, 440, 258, 51456, 285, 11, 574, 1176, 7633, 555, 10058, 11355, 29103, 2957, 7826, 4506, 304, 220, 7028, 24, 13, 1102, 374, 1766, 505, 84625, 311, 37766, 198, 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 ]

[ 128000, 2, 735, 56761, 65, 359, 1443, 450, 16711, 198, 42, 56761, 65, 359, 1443, 450, 16711, 320, 106353, 102212, 115850, 17161, 11, 1443, 450, 16711, 735, 56761, 65, 359, 8, 320, 16381, 6250, 220, 17, 11, 220, 4468, 17, 8, 374, 264, 11002, 23655, 4632, 323, 12707, 7690, 382, 567, 21785, 271, 14711, 46564, 198, 12, 28033, 315, 22164, 72, 320, 1049, 23, 340, 12, 56379, 79912, 25, 35494, 315, 69188, 320, 679, 16, 340, 12, 56379, 79912, 25, 578, 27039, 45707, 4610, 25840, 320, 679, 17, 340, 12, 56379, 79912, 25, 9877, 28929, 304, 279, 423, 11451, 15379, 320, 679, 18, 340, 12, 56379, 79912, 25, 29023, 278, 76154, 320, 679, 19, 340, 12, 56379, 79912, 25, 8219, 89770, 315, 63758, 2201, 320, 679, 20, 340, 12, 56379, 79912, 25, 578, 15367, 40423, 75225, 320, 679, 21, 340, 12, 56379, 79912, 25, 67177, 10919, 27757, 320, 679, 22, 6758, 17, 933, 12, 88096, 25, 29935, 315, 279, 63808, 320, 679, 22, 340, 12, 88096, 25, 4409, 389, 279, 10564, 315, 16506, 320, 679, 23, 340, 12, 88096, 25, 578, 29935, 469, 977, 320, 679, 23, 340, 12, 3092, 50595, 5770, 25, 32255, 11, 55706, 320, 679, 23, 340, 12, 29073, 36478, 279, 14270, 25, 94494, 1901, 1441, 392, 56761, 912, 44188, 731, 220, 320, 2366, 15, 340, 12, 578, 43680, 320, 2366, 16, 340, 12, 79803, 258, 279, 21530, 6296, 13, 17810, 596, 28929, 320, 2366, 18, 6758, 18, 933, 12, 3092, 50595, 5770, 8105, 25, 33500, 11, 19558, 320, 2366, 20, 3707, 14711, 41445, 4101, 198, 12, 89118, 20666, 320, 679, 15, 26, 41857, 1234, 279, 51743, 7987, 735, 21257, 1899, 340, 12, 89118, 78160, 320, 679, 18, 26, 41857, 1234, 279, 51743, 7987, 735, 21257, 1899, 340, 12, 40676, 315, 34989, 21947, 320, 679, 19, 7435, 17217, 220, 16, 198, 12, 30242, 96587, 320, 679, 21, 3707, 14711, 75402, 2170, 198, 12, 16566, 56761, 47329, 72, 24952, 7675, 36675, 386, 56761, 16261, 2469, 84, 912, 50341, 2192, 320, 1049, 24, 11, 18243, 220, 16, 323, 220, 17, 696, 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 ]

[ 128000, 2, 48869, 329, 283, 7923, 454, 320, 60864, 4047, 11, 9405, 220, 6280, 20, 340, 44, 309, 329, 283, 7923, 454, 320, 16381, 220, 1627, 5587, 220, 6280, 20, 8, 374, 264, 4846, 5476, 797, 1604, 325, 19794, 2851, 449, 5871, 30500, 13287, 14014, 13, 7923, 454, 67235, 369, 5476, 62421, 520, 279, 220, 3753, 15, 19367, 33063, 11, 1405, 568, 16957, 220, 1682, 3585, 304, 220, 21, 3953, 627, 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 ]

[ 128000, 2, 480, 76535, 40593, 276, 363, 560, 198, 38, 76535, 40593, 276, 363, 560, 374, 264, 19624, 342, 76535, 320, 69949, 1413, 9474, 8, 304, 58751, 3817, 67592, 6406, 11, 328, 3742, 1122, 29179, 344, 2601, 2200, 11, 304, 18561, 28702, 13, 11699, 10954, 374, 279, 14458, 315, 40593, 276, 363, 560, 11, 902, 15812, 13489, 220, 21, 52957, 320, 19, 123744, 8, 11226, 315, 58751, 3817, 67592, 323, 220, 4331, 4194, 16400, 320, 1644, 123744, 8, 10411, 315, 279, 15481, 6864, 17816, 363, 560, 627, 791, 342, 76535, 14861, 459, 3158, 315, 220, 4643, 13, 6028, 9518, 52957, 320, 966, 13, 23, 4194, 29443, 123744, 705, 323, 439, 315, 220, 679, 24, 1202, 2860, 7187, 374, 220, 21, 11, 21910, 627, 791, 342, 76535, 5727, 961, 315, 279, 2682, 3158, 2663, 31714, 44172, 86, 26017, 20585, 82, 63641, 5657, 382, 567, 16959, 1154, 198, 38, 76535, 40593, 276, 363, 560, 5727, 279, 33889, 323, 45704, 315, 423, 2298, 72, 363, 560, 11, 5340, 20218, 4697, 83, 363, 560, 11, 34294, 1540, 3074, 11, 40593, 276, 363, 560, 11, 40593, 66, 560, 11, 445, 3845, 32563, 11, 58751, 1197, 648, 11, 507, 496, 12543, 11, 61071, 68, 4697, 6780, 11, 4593, 25471, 564, 323, 45290, 10784, 1923, 689, 382, 567, 4275, 47918, 287, 342, 1083, 300, 198, 38, 76535, 40593, 276, 363, 560, 374, 77317, 555, 279, 6424, 315, 58751, 3817, 67592, 323, 555, 279, 342, 1083, 300, 315, 356, 3557, 3458, 11, 6385, 1729, 11, 38208, 60705, 18595, 323, 61071, 263, 94557, 382, 567, 36047, 25861, 1389, 13219, 9919, 198, 38, 76535, 40593, 276, 363, 560, 374, 4483, 21203, 449, 512, 12, 5124, 3029, 657, 74, 55789, 268, 11, 10057, 271, 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 ]

[ 128000, 2, 20214, 315, 10170, 323, 35321, 11930, 320, 45606, 340, 791, 20214, 315, 10170, 323, 35321, 11930, 315, 279, 8690, 28331, 320, 48807, 25, 123117, 35111, 7753, 100875, 118655, 7740, 102586, 109437, 115812, 111574, 111112, 8, 374, 264, 25887, 9749, 304, 3297, 220, 679, 23, 439, 264, 1121, 315, 45473, 279, 20214, 315, 11930, 323, 10170, 11, 902, 25281, 505, 5587, 220, 1049, 19, 11, 1139, 1403, 8821, 13607, 13, 578, 2132, 25291, 22763, 9266, 374, 279, 20214, 315, 11930, 7170, 2663, 330, 1073, 3331, 11930, 1, 477, 330, 1073, 92931, 3343, 578, 20214, 315, 10170, 323, 35321, 11930, 374, 8647, 369, 264, 1614, 2585, 927, 279, 12624, 14673, 323, 279, 12374, 11852, 6873, 304, 279, 8690, 28331, 13, 97485, 11, 682, 94812, 315, 279, 8690, 16192, 315, 23199, 527, 1457, 1234, 29101, 315, 420, 20214, 13, 1102, 374, 81296, 304, 23223, 13, 92551, 62763, 88, 3178, 869, 574, 21489, 439, 279, 1176, 9675, 13, 8876, 6186, 220, 1691, 11, 220, 2366, 15, 11, 279, 20214, 374, 19946, 555, 4196, 727, 72564, 869, 627, 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 ]

[ 128000, 2, 578, 49793, 2418, 320, 14354, 24483, 11775, 340, 791, 49793, 2418, 374, 264, 11775, 555, 3778, 3229, 11824, 51196, 13, 578, 2363, 574, 15453, 4756, 555, 426, 519, 309, 18312, 389, 6250, 220, 16, 11, 220, 2550, 17, 13, 1102, 13713, 988, 279, 3446, 315, 264, 12374, 72235, 889, 706, 279, 5845, 311, 330, 87160, 1, 279, 11555, 315, 3885, 11, 459, 5845, 568, 13551, 449, 813, 23069, 7555, 627, 3947, 527, 12387, 22100, 304, 420, 11775, 902, 527, 17626, 304, 3010, 4375, 11, 1455, 35146, 264, 743, 315, 26018, 389, 279, 7138, 315, 323, 21063, 315, 8903, 320, 4151, 358, 747, 372, 570, 82671, 520, 3325, 832, 3752, 11, 650, 43761, 435, 53469, 11, 8111, 304, 51196, 6, 6931, 220, 3753, 23, 990, 11, 330, 53, 43761, 435, 53469, 2209, 66526, 323, 8489, 323, 19048, 304, 24830, 3343, 220, 578, 49793, 2418, 574, 39048, 369, 264, 445, 3466, 17768, 304, 220, 2550, 18, 627, 791, 11775, 5196, 374, 459, 14800, 315, 459, 6931, 2875, 3446, 11, 330, 36, 9891, 358, 67931, 2876, 26911, 304, 53718, 498, 430, 9922, 304, 813, 220, 2550, 15, 4526, 2394, 5184, 311, 54683, 57200, 13, 17674, 6848, 323, 5885, 4920, 1790, 315, 51196, 596, 17876, 4375, 649, 387, 1766, 304, 420, 4526, 382, 567, 27124, 12399, 198, 6153, 279, 4648, 315, 813, 7555, 480, 607, 11, 28217, 426, 62969, 11141, 813, 3766, 2324, 555, 20252, 813, 2162, 323, 53635, 323, 8126, 34552, 389, 264, 11879, 311, 1505, 9096, 505, 279, 330, 818, 2868, 48822, 901, 1, 315, 22706, 13, 17586, 813, 7555, 596, 9546, 426, 62969, 4250, 20858, 5678, 505, 279, 36021, 5845, 311, 1373, 20663, 323, 6865, 11555, 627, 33, 62969, 27573, 369, 99544, 323, 31398, 505, 1274, 11, 902, 568, 15453, 14035, 26, 4869, 11, 439, 279, 11775, 68711, 11, 568, 374, 15246, 311, 7859, 5990, 315, 3729, 449, 22706, 323, 78650, 11704, 315, 39270, 323, 16806, 17432, 627, 3246, 3950, 449, 426, 62969, 596, 3446, 374, 430, 315, 2500, 3752, 11, 4997, 1729, 11, 889, 8111, 311, 387, 13713, 1113, 323, 41365, 5304, 426, 62969, 323, 813, 7555, 596, 2324, 13, 4997, 1729, 374, 35906, 8552, 323, 12153, 311, 19570, 439, 568, 374, 47842, 11, 54321, 11, 323, 18507, 13, 2650, 568, 374, 3025, 311, 617, 1778, 71540, 449, 426, 62969, 374, 539, 36489, 3156, 7119, 279, 842, 315, 279, 11775, 627, 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 ]

[ 128000, 2, 18063, 3926, 3018, 198, 64463, 21605, 3926, 3018, 320, 33327, 220, 868, 11, 220, 7529, 23, 4194, 4235, 3297, 220, 24, 11, 220, 679, 16, 8, 315, 79431, 11, 23481, 11, 574, 459, 3778, 18247, 20370, 713, 263, 13, 220, 763, 279, 5209, 12, 6280, 15, 82, 11, 568, 574, 832, 315, 279, 1176, 6593, 16410, 311, 60826, 1296, 3508, 3428, 15825, 6784, 1436, 387, 51512, 449, 28817, 4269, 65246, 315, 17055, 66, 371, 285, 606, 13, 11450, 11, 35944, 40076, 3041, 1778, 65246, 1603, 22541, 287, 311, 810, 53354, 15173, 13, 1283, 574, 264, 6652, 11, 423, 732, 13, 50112, 46098, 369, 810, 1109, 3116, 11026, 6832, 6978, 5343, 67447, 61628, 382, 567, 23591, 2324, 323, 20587, 198, 6251, 3018, 574, 9405, 389, 6186, 220, 868, 11, 220, 7529, 23, 11, 304, 1561, 4356, 4409, 382, 567, 11930, 198, 6251, 3018, 33109, 505, 22319, 3907, 11, 323, 505, 279, 22319, 3907, 6150, 315, 19152, 627, 16366, 30299, 16771, 292, 15173, 60859, 574, 304, 578, 25919, 5248, 45340, 15429, 304, 6652, 11, 423, 732, 13, 902, 3010, 6244, 11, 279, 1457, 711, 20526, 11, 11182, 315, 19326, 3331, 15429, 382, 567, 41576, 198, 6251, 3018, 574, 459, 991, 261, 36891, 14561, 520, 10058, 6652, 3907, 13235, 6150, 382, 567, 16290, 198, 6251, 3018, 8636, 389, 3297, 220, 24, 11, 220, 679, 16, 11, 315, 44385, 535, 4851, 8060, 520, 279, 4325, 315, 220, 6365, 627, 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 ]

[ 128000, 2, 8375, 35685, 315, 77050, 198, 17691, 35685, 320, 19171, 3967, 439, 328, 989, 69, 11, 1369, 3532, 276, 8, 574, 264, 3389, 220, 20, 339, 9478, 22036, 819, 364, 11710, 3334, 42826, 518, 11000, 264, 6342, 315, 77050, 13, 5414, 53268, 1938, 5097, 2035, 389, 279, 220, 972, 6664, 13, 1283, 574, 279, 7126, 315, 279, 22036, 819, 54306, 14539, 18221, 8385, 382, 567, 96821, 198, 11439, 311, 21252, 483, 426, 3329, 12279, 619, 11, 8375, 35685, 574, 279, 4538, 315, 20524, 1673, 671, 9939, 7006, 11, 19912, 315, 65082, 6414, 689, 13, 1115, 34008, 449, 279, 13789, 54637, 379, 14539, 11, 264, 46881, 15207, 32051, 950, 42929, 45293, 279, 1584, 1154, 315, 279, 4216, 8013, 68220, 13, 8375, 35685, 12502, 95884, 18728, 331, 356, 1910, 11160, 11, 279, 10003, 315, 356, 1910, 11160, 24703, 13885, 60326, 540, 889, 1047, 23183, 520, 14751, 261, 12279, 5059, 3221, 800, 6941, 596, 304, 393, 50010, 74, 90345, 13, 95884, 18728, 331, 356, 1910, 11160, 574, 279, 13219, 315, 14539, 11842, 627, 11439, 311, 279, 9601, 315, 800, 18221, 8385, 11, 1369, 3532, 276, 11, 320, 64, 19803, 4690, 292, 1376, 315, 50899, 8, 574, 264, 22036, 819, 1543, 323, 279, 7126, 315, 18221, 8385, 13, 8375, 35685, 374, 7633, 439, 264, 42826, 1725, 58698, 68, 520, 264, 5590, 1990, 279, 11188, 350, 15924, 323, 279, 11188, 21820, 1964, 11, 11000, 480, 21148, 38022, 13, 46881, 44068, 28686, 43982, 13737, 85, 598, 33398, 420, 2316, 439, 364, 44303, 467, 315, 279, 7771, 518, 1418, 3885, 4510, 568, 574, 264, 1207, 12, 10789, 315, 77050, 13, 6941, 28512, 14337, 13533, 430, 568, 26399, 311, 279, 22651, 315, 813, 36271, 11, 6342, 4488, 627, 43, 598, 278, 2353, 374, 264, 16665, 315, 8375, 35685, 13, 426, 3329, 12279, 619, 34945, 264, 27823, 1664, 315, 813, 13219, 3502, 31412, 11, 11842, 11, 323, 264, 8993, 315, 813, 4538, 11, 18221, 8385, 11, 304, 279, 3158, 1990, 16870, 18615, 323, 2895, 1141, 801, 627, 17691, 35685, 374, 11054, 449, 1369, 3532, 276, 11, 315, 800, 2009, 16023, 304, 77050, 323, 13597, 1677, 389, 37337, 8674, 13, 1952, 279, 44106, 520, 800, 2009, 16023, 374, 800, 2009, 16023, 596, 8489, 323, 3770, 433, 279, 35977, 8625, 315, 813, 83249, 11, 902, 1051, 7633, 555, 12656, 23768, 75, 521, 304, 813, 6898, 5118, 1385, 13, 578, 330, 40141, 355, 9998, 1, 520, 800, 4702, 304, 13597, 4291, 60347, 9441, 374, 3463, 311, 8464, 311, 8375, 35685, 13, 578, 9764, 315, 14539, 4702, 374, 539, 3967, 13, 22395, 279, 24525, 9932, 374, 279, 46881, 1077, 1800, 11, 14539, 358, 478, 1910, 11, 1071, 311, 387, 264, 4538, 315, 20524, 1673, 671, 9939, 7006, 627, 644, 279, 9476, 315, 8613, 41216, 276, 304, 89254, 527, 3116, 7634, 8599, 311, 264, 14539, 8375, 7053, 13, 426, 3329, 12279, 619, 13533, 420, 374, 264, 2132, 11, 8821, 3927, 382, 567, 48132, 198, 12, 423, 51093, 11, 480, 13, 473, 13, 320, 5162, 19, 570, 578, 33319, 315, 77050, 11, 961, 220, 18, 13, 1183, 2868, 25, 25028, 323, 15957, 26, 12086, 13, 4194, 6550, 4235, 9413, 198, 12, 43982, 13737, 85, 598, 11, 362, 13, 468, 13, 320, 291, 6266, 320, 6393, 19, 570, 29560, 6043, 5960, 5009, 372, 98520, 73078, 1880, 24983, 32051, 73078, 13, 61692, 25, 3907, 315, 23782, 8612, 8925, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 18989, 43014, 6515, 20718, 198, 56635, 43014, 6515, 20718, 66415, 3757, 300, 320, 16381, 220, 717, 5936, 220, 4468, 23, 304, 445, 68070, 4890, 6388, 1169, 8, 374, 264, 15506, 81131, 889, 706, 15609, 18157, 520, 279, 220, 1049, 23, 323, 220, 679, 17, 19367, 4366, 5893, 1331, 1233, 304, 2225, 5754, 323, 3839, 4455, 13, 3005, 1101, 67235, 520, 279, 220, 679, 18, 4435, 48854, 382, 567, 19758, 198, 11916, 20718, 574, 9405, 304, 445, 68070, 4890, 6388, 1169, 11, 81944, 6424, 315, 18157, 11, 3221, 28035, 3363, 13, 3005, 706, 264, 8547, 304, 18112, 323, 4375, 304, 279, 2115, 439, 264, 11156, 11726, 627, 1966, 220, 16, 6287, 220, 1049, 19, 11, 6515, 20718, 574, 220, 1627, 1667, 2362, 11, 1364, 1047, 264, 5103, 10020, 1097, 13623, 1077, 2163, 2531, 2768, 459, 11677, 304, 902, 459, 39773, 18302, 2106, 1139, 1077, 35404, 13, 763, 220, 679, 16, 11, 1364, 574, 832, 315, 3892, 1274, 15109, 304, 264, 25999, 25891, 5034, 2722, 269, 7583, 1624, 27612, 37478, 17434, 6832, 9886, 574, 30638, 555, 279, 13492, 5840, 41333, 23565, 478, 323, 902, 574, 30026, 555, 279, 15506, 4366, 5893, 1331, 292, 10554, 382, 567, 61070, 198, 11916, 20718, 374, 264, 356, 17, 21771, 81131, 11, 323, 25492, 1418, 3515, 1193, 832, 2531, 13, 256, 32499, 311, 1077, 11677, 11, 6515, 20718, 23781, 4024, 311, 279, 19343, 323, 16572, 449, 1077, 10868, 11, 323, 1101, 41761, 16700, 31553, 505, 892, 311, 892, 13, 220, 362, 1060, 323, 264, 4376, 1306, 1077, 11677, 11, 1364, 2751, 389, 1077, 36086, 323, 5246, 1306, 11, 1364, 4024, 311, 31298, 22980, 67, 442, 294, 68070, 89639, 1405, 1364, 2322, 264, 1396, 315, 1274, 889, 21190, 1077, 304, 279, 10775, 11, 2737, 1077, 42835, 7395, 11, 14502, 266, 79275, 627, 11916, 20718, 67235, 520, 279, 220, 1049, 23, 19367, 4366, 5893, 1331, 1233, 304, 2225, 279, 3839, 323, 5754, 4455, 627, 13129, 950, 4967, 304, 279, 3063, 709, 311, 279, 7295, 4366, 5893, 1331, 1233, 79101, 389, 279, 3280, 13, 220, 12220, 279, 12688, 11, 6515, 20718, 1550, 1403, 832, 21925, 16079, 264, 2046, 315, 24269, 304, 279, 6693, 13, 220, 763, 279, 13658, 11, 1364, 1053, 5542, 3892, 4207, 3060, 3815, 14661, 477, 4967, 389, 279, 9231, 347, 6786, 3156, 922, 220, 24, 25, 410, 9012, 13, 5871, 279, 3953, 2751, 12401, 11, 1364, 1550, 2380, 6596, 6693, 16079, 4967, 389, 279, 5754, 11, 323, 1243, 1053, 656, 2380, 6596, 16079, 304, 279, 13658, 389, 279, 3839, 13, 763, 1990, 4967, 16079, 11, 1364, 1053, 733, 1139, 990, 13, 3005, 15337, 369, 279, 7295, 4366, 5893, 1331, 1233, 1306, 28744, 264, 6857, 315, 6761, 60082, 520, 264, 4435, 11098, 1567, 304, 17652, 869, 689, 13, 3005, 67235, 520, 279, 220, 679, 17, 19367, 4366, 5893, 1331, 1233, 13, 220, 3005, 574, 832, 315, 3116, 28650, 520, 279, 220, 679, 17, 11871, 505, 445, 68070, 4890, 6388, 1169, 13, 220, 763, 279, 220, 2166, 12934, 321, 4512, 265, 24725, 320, 966, 123744, 8, 5754, 7102, 11, 1364, 8220, 18172, 449, 264, 892, 315, 220, 16, 25, 2137, 13, 3971, 13, 220, 3005, 1101, 67235, 304, 4455, 5762, 520, 279, 9231, 347, 6786, 11, 25270, 31487, 304, 832, 315, 279, 33586, 4455, 13, 5659, 279, 81944, 5654, 315, 18157, 11, 1364, 574, 264, 22458, 315, 264, 220, 679, 17, 9878, 9827, 3143, 34225, 13, 220, 3005, 5675, 1077, 34225, 2768, 279, 7295, 11871, 11, 323, 1047, 311, 4018, 1203, 389, 4967, 1606, 1364, 4460, 311, 990, 13, 14659, 648, 7813, 638, 2933, 11, 35195, 11, 7008, 21685, 279, 220, 679, 18, 23850, 1824, 16404, 4435, 48854, 11, 323, 1364, 67235, 304, 1124, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 25681, 37246, 49538, 198, 23958, 37246, 49538, 374, 279, 26084, 14356, 8176, 555, 3778, 23597, 77740, 18688, 64495, 1611, 38, 1059, 13, 1102, 574, 6004, 389, 6250, 220, 24, 11, 220, 679, 21, 555, 99431, 22293, 13, 1115, 8176, 19169, 2212, 95609, 6743, 323, 23871, 13, 1102, 596, 279, 1828, 10474, 304, 813, 2324, 323, 568, 596, 682, 922, 330, 69, 87595, 389, 279, 1695, 2574, 1210, 25681, 37246, 49538, 374, 279, 2132, 8176, 1611, 38, 1059, 706, 9124, 449, 1023, 5609, 62712, 4856, 1109, 4477, 279, 4553, 8176, 5678, 13, 1115, 8176, 4519, 990, 505, 30534, 22010, 11, 18984, 16233, 17007, 11, 81796, 468, 14795, 7881, 11, 16645, 36532, 292, 11, 20851, 37053, 7211, 11, 89907, 3341, 49363, 11, 3842, 1443, 4129, 11, 323, 64495, 1611, 38, 1059, 627, 23958, 37246, 49538, 41424, 1690, 36744, 323, 10578, 315, 4731, 13, 1611, 38, 1059, 41424, 2477, 11, 13836, 11, 42045, 11, 69392, 11, 323, 364, 1399, 82, 4731, 3339, 420, 8176, 2204, 1109, 279, 6305, 315, 813, 3347, 382, 567, 25837, 323, 20343, 198, 1966, 5887, 220, 868, 11, 220, 679, 21, 11, 1611, 38, 1059, 7376, 430, 25681, 37246, 49538, 574, 389, 1202, 1648, 323, 389, 6250, 220, 24, 315, 279, 1890, 1060, 11, 568, 12886, 13, 64495, 14264, 709, 304, 1561, 4356, 323, 9124, 813, 1176, 8176, 304, 220, 1049, 18, 7086, 921, 2850, 354, 323, 16038, 505, 813, 502, 4984, 11, 706, 12715, 2380, 1023, 14356, 28785, 3235, 449, 264, 12474, 13280, 4526, 682, 1418, 10671, 264, 61403, 836, 13, 9086, 1063, 315, 813, 3766, 4731, 11, 420, 502, 8176, 706, 264, 6380, 11, 3091, 727, 5222, 449, 1690, 2204, 296, 9242, 15609, 430, 1180, 439, 264, 36899, 15411, 5352, 311, 279, 7474, 315, 220, 679, 21, 627, 1951, 38, 1059, 6137, 3318, 389, 25681, 37246, 49538, 1314, 1306, 813, 8176, 4984, 7557, 264, 14903, 304, 6664, 220, 679, 18, 13, 763, 220, 679, 19, 11, 568, 6004, 1403, 502, 17845, 3573, 2675, 25545, 2206, 1, 323, 330, 17111, 909, 8272, 555, 264, 12474, 13280, 8176, 430, 4498, 13, 57194, 505, 48551, 11, 1611, 38, 1059, 574, 5128, 1790, 704, 315, 279, 586, 8071, 304, 220, 679, 20, 11, 9564, 1690, 311, 5895, 422, 420, 574, 279, 892, 994, 568, 1550, 1455, 315, 279, 4477, 369, 813, 502, 8176, 627, 3976, 264, 7427, 11450, 7274, 922, 279, 220, 679, 21, 8176, 4984, 11, 1611, 38, 1059, 1071, 568, 5992, 311, 4731, 24699, 2737, 578, 55957, 11, 6941, 68347, 323, 19912, 1418, 4477, 13, 330, 40, 16025, 9017, 11670, 6392, 369, 20343, 11, 323, 1884, 34453, 2216, 9167, 956, 5614, 13, 578, 6305, 430, 617, 14980, 279, 1296, 315, 892, 13967, 617, 279, 14293, 430, 9352, 304, 1475, 5609, 26372, 9979, 10246, 48412, 2265, 750, 11, 25681, 37246, 49538, 5084, 311, 387, 14948, 555, 264, 3828, 320, 68, 1325, 5886, 555, 11936, 1093, 330, 42, 635, 9086, 11617, 498, 330, 2675, 7557, 3092, 18449, 11070, 9928, 1126, 498, 323, 330, 43346, 10919, 449, 279, 13792, 1952, 1865, 3277, 459, 87935, 505, 48797, 11378, 304, 1561, 4356, 4691, 64495, 1268, 2324, 574, 2133, 1306, 58134, 398, 15182, 3839, 5144, 505, 279, 8176, 11, 1611, 38, 1059, 19089, 330, 40, 1440, 1063, 1274, 11, 814, 1093, 311, 1304, 4731, 430, 374, 26549, 11124, 13, 4427, 1274, 1093, 311, 1304, 6392, 430, 10578, 264, 2697, 2766, 810, 19738, 13, 358, 1093, 5128, 4731, 11, 323, 358, 1093, 4731, 430, 3727, 1274, 2733, 97547, 291, 323, 62935, 13, 358, 1781, 430, 1274, 1205, 311, 2733, 62935, 323, 320, 31153, 8, 3727, 1274, 2733, 62935, 13, 2100, 369, 279, 1455, 961, 11, 430, 596, 279, 955, 315, 3245, 358, 4774, 4477, 922, 13, 358, 4774, 4477, 922, 2555, 430, 3727, 1274, 2733, 1093, 2574, 527, 2133, 872, 1648, 4856, 1109, 1694, 304, 872, 1648, 1210, 71994, 2915, 11, 1611, 38, 1059, 374, 3967, 369, 1694, 10508, 2922, 6586, 922, 813, 12135, 477, 813, 3674, 2324, 304, 586, 13, 1472, 1541, 956, 6865, 1461, 6604, 922, 1790, 1023, 1109, 813, 4731, 13, 2100, 1524, 422, 1070, 574, 264, 3828, 889, 14948, 420, 8176, 11, 433, 1053, 387, 5107, 311, 1440, 13, 2684, 374, 264, 3839, 389, 279, 8176, 2663, 330, 28192, 1604, 68, 1, 922, 264, 23347, 3828, 6832, 330, 58331, 527, 10107, 439, 523, 38221, 4918, 1, 323, 330, 23196, 1124, 16054, 505, 279, 15485, 76551, 1534, 323, 88968, 1, 719, 1070, 706, 1027, 912, 4320, 439, 311, 889, 9489, 1604, 68, 374, 13, 5046, 682, 279, 35492, 922, 1611, 38, 1059, 596, 24364, 2324, 11, 7000, 617, 1027, 11007, 555, 1461, 927, 279, 1667, 627, 644, 459, 7855, 12607, 389, 62199, 11, 1611, 38, 1059, 21881, 922, 279, 39676, 430, 13980, 994, 499, 3350, 701, 1866, 4731, 439, 459, 10255, 13, 330, 40, 1781, 2555, 7185, 8741, 994, 499, 2351, 264, 85757, 323, 994, 499, 2351, 459, 10255, 439, 264, 85757, 13, 1102, 596, 430, 7170, 994, 499, 2351, 4477, 11, 499, 1253, 1120, 1390, 311, 3350, 2555, 44682, 1120, 1606, 499, 1781, 433, 596, 7155, 323, 499, 1093, 279, 1648, 433, 10578, 13, 2100, 11, 304, 1063, 5627, 320, 300, 459, 10255, 705, 7170, 499, 2733, 1093, 499, 527, 20747, 5977, 6261, 11, 320, 1729, 8, 539, 24919, 2555, 2307, 44682, 1120, 1606, 433, 596, 7155, 13, 1472, 1253, 733, 364, 2319, 11, 1664, 439, 459, 10255, 499, 2351, 2133, 311, 387, 5762, 17354, 36977, 369, 8996, 1521, 4339, 527, 11, 8996, 13356, 420, 374, 11, 8996, 420, 5222, 374, 3238, 61695, 11, 682, 499, 2351, 7422, 922, 439, 264, 7061, 374, 430, 499, 1390, 311, 1456, 2555, 7155, 704, 10246, 71088, 505, 1611, 38, 1059, 596, 1866, 4443, 20343, 11, 902, 5084, 1193, 311, 387, 60257, 449, 502, 10578, 323, 12967, 6928, 4731, 311, 279, 1917, 11, 1070, 1051, 1690, 1080, 2695, 32929, 369, 25681, 37246, 49538, 13, 8442, 1403, 315, 279, 5899, 14242, 389, 279, 8176, 527, 21742, 30706, 311, 1611, 38, 1059, 11, 323, 568, 21881, 3629, 922, 73301, 449, 279, 1023, 16483, 323, 24190, 304, 279, 2835, 315, 279, 48797, 4101, 7274, 13, 763, 279, 1890, 2835, 11, 994, 4691, 902, 3839, 374, 813, 8945, 11, 568, 2795, 568, 649, 956, 3820, 264, 7075, 719, 279, 832, 568, 4762, 6575, 279, 37554, 389, 311, 636, 433, 1120, 1314, 574, 330, 2675, 7557, 3092, 18449, 11070, 9928, 1126, 1, 449, 66893, 36521, 13, 1283, 1101, 8554, 430, 304, 279, 14356, 11, 66893, 323, 64495, 13517, 90234, 279, 3839, 330, 5159, 8489, 323, 9935, 3343, 1102, 596, 813, 6691, 596, 7075, 3839, 505, 279, 8176, 382, 567, 57204, 198, 791, 1176, 3254, 369, 25681, 37246, 49538, 574, 330, 8100, 12808, 279, 4409, 389, 6785, 498, 6004, 389, 5887, 220, 868, 11, 220, 679, 21, 11, 902, 4036, 264, 12435, 4731, 2835, 389, 6287, 220, 2148, 11, 220, 679, 21, 11, 11888, 2919, 1603, 279, 8176, 5196, 574, 6004, 13, 1102, 11887, 389, 1611, 38, 1059, 596, 4033, 61988, 11417, 13674, 5613, 11, 19257, 4535, 555, 264, 69435, 2835, 430, 3782, 704, 264, 2305, 4972, 13, 578, 4731, 2835, 11, 15910, 555, 15469, 123203, 11, 9958, 1611, 38, 1059, 323, 2307, 2590, 33467, 650, 75179, 382, 567, 35761, 23991, 198, 23958, 37246, 49538, 706, 1027, 2663, 810, 330, 455, 23019, 323, 90712, 398, 1, 1109, 1611, 38, 1059, 596, 3347, 990, 13, 1611, 38, 1059, 3309, 7427, 11450, 430, 568, 4934, 311, 1304, 2555, 330, 1225, 6617, 1, 1405, 568, 36131, 1690, 2204, 36744, 430, 9167, 956, 1027, 15109, 389, 3347, 28785, 382, 567, 14986, 198, 644, 3297, 220, 679, 21, 11, 64495, 1611, 38, 1059, 7376, 813, 14827, 4892, 3778, 7364, 1405, 568, 1053, 387, 16785, 449, 25871, 29937, 1195, 1555, 4216, 6841, 220, 679, 21, 13, 578, 7364, 28219, 1022, 3221, 64495, 1611, 38, 1059, 596, 44116, 304, 29103, 301, 11, 1561, 4356, 11, 389, 6287, 220, 1591, 11, 220, 679, 21, 323, 9670, 6841, 220, 24, 11, 220, 679, 21, 304, 99657, 432, 24444, 11, 9784, 13, 36715, 4024, 389, 6412, 3297, 220, 508, 11, 220, 679, 21, 323, 864, 58637, 14741, 4024, 389, 6412, 3297, 220, 1114, 520, 220, 605, 4194, 309, 2254, 892, 13, 578, 1501, 13847, 369, 6841, 220, 22, 11, 220, 679, 21, 574, 3010, 34546, 4245, 311, 17563, 13, 46982, 420, 7364, 64495, 1611, 38, 1059, 6222, 10688, 315, 4731, 568, 1047, 1027, 3318, 389, 323, 1053, 3010, 2997, 389, 25681, 37246, 49538, 382, 567, 20371, 15182, 198, 91, 2360, 13, 765, 11106, 6096, 765, 30504, 1161, 8, 3425, 765, 44459, 1161, 8, 220, 765, 17736, 9432, 91, 12730, 765, 14730, 39745, 765, 18527, 381, 765, 33658, 765, 56560, 9432, 91, 220, 16, 13, 220, 765, 330, 8100, 12808, 279, 4409, 389, 6785, 1, 257, 765, 64495, 1611, 38, 1059, 81796, 468, 14795, 7881, 30534, 22010, 18984, 16233, 17007, 765, 468, 14795, 7881, 256, 765, 220, 18, 25, 1987, 256, 9432, 91, 220, 17, 13, 220, 765, 330, 2675, 7557, 3092, 18449, 11070, 9928, 1126, 1, 765, 1611, 38, 1059, 16645, 36532, 292, 792, 765, 66893, 36521, 256, 765, 220, 18, 25, 4370, 256, 9432, 91, 220, 18, 13, 220, 765, 330, 42, 635, 9086, 11617, 1, 394, 765, 1611, 38, 1059, 20851, 37053, 7211, 6794, 765, 37053, 7211, 415, 765, 220, 18, 25, 508, 256, 9432, 91, 220, 19, 13, 220, 765, 330, 43346, 10919, 449, 279, 13792, 1952, 1, 765, 1611, 38, 1059, 17712, 765, 2030, 331, 23074, 765, 220, 19, 25, 2545, 256, 9432, 91, 220, 20, 13, 220, 765, 330, 28005, 261, 311, 59121, 1, 1835, 765, 1611, 38, 1059, 89907, 22770, 31031, 1408, 765, 22770, 31031, 257, 765, 220, 19, 25, 2371, 256, 9432, 91, 220, 21, 13, 220, 765, 330, 46864, 358, 3383, 1, 2611, 765, 1611, 38, 1059, 3842, 1443, 4129, 9898, 765, 1443, 4129, 996, 765, 220, 18, 25, 868, 256, 9432, 91, 220, 22, 13, 220, 765, 330, 4438, 49667, 3053, 264, 2418, 2175, 1, 996, 765, 1611, 38, 1059, 1443, 4129, 2623, 765, 1443, 4129, 996, 765, 220, 18, 25, 4331, 256, 9432, 91, 220, 23, 13, 220, 765, 330, 3648, 10919, 1, 2611, 765, 1611, 38, 1059, 22770, 31031, 8497, 765, 22770, 31031, 257, 765, 220, 18, 25, 1627, 256, 9432, 91, 220, 24, 13, 220, 765, 330, 28192, 1604, 68, 1, 5291, 765, 1611, 38, 1059, 37053, 7211, 11317, 765, 37053, 7211, 415, 765, 220, 18, 25, 2705, 256, 9432, 91, 220, 605, 13, 765, 330, 23958, 37246, 49538, 1, 286, 765, 1611, 38, 1059, 17712, 765, 23074, 996, 765, 220, 18, 25, 1987, 256, 36821, 91, 2360, 13, 765, 11106, 260, 765, 30504, 1161, 8, 394, 765, 44459, 1161, 8, 257, 765, 17736, 9432, 91, 12730, 765, 97903, 765, 14730, 515, 765, 33658, 4521, 765, 56560, 9432, 91, 220, 806, 13, 765, 330, 13359, 1472, 1, 256, 765, 3586, 765, 29335, 32446, 65320, 765, 220, 18, 25, 3174, 256, 9432, 91, 220, 717, 13, 765, 330, 29356, 74909, 1, 765, 32446, 65320, 26044, 31164, 765, 338, 765, 220, 18, 25, 975, 256, 765, 1432, 567, 67376, 198, 91, 21964, 320, 679, 21, 8, 5291, 765, 44262, 2361, 9432, 91, 20308, 313, 765, 97903, 9432, 91, 49162, 87823, 320, 52, 68475, 266, 454, 435, 86067, 8, 765, 220, 2031, 310, 9432, 91, 49162, 87823, 320, 52, 68475, 266, 454, 9935, 21947, 8, 765, 220, 8953, 1881, 9432, 91, 12152, 87823, 320, 28576, 2541, 8, 286, 765, 220, 1041, 1881, 9432, 91, 24113, 87823, 320, 33478, 7054, 220, 1041, 8, 996, 765, 220, 3971, 310, 9432, 91, 27188, 87823, 320, 46, 3791, 8, 1078, 765, 220, 5313, 310, 9432, 91, 31209, 87823, 320, 50, 424, 343, 295, 454, 501, 9121, 8, 765, 220, 4103, 310, 9432, 91, 30791, 87823, 320, 31224, 906, 3213, 16261, 1768, 1037, 8, 765, 220, 5332, 310, 9432, 91, 2326, 67293, 220, 1049, 4391, 765, 220, 1758, 310, 36821, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 3723, 19687, 8398, 9251, 38216, 220, 14378, 198, 23175, 19687, 8398, 9251, 38216, 220, 14378, 574, 18306, 555, 279, 3723, 19687, 8398, 9251, 389, 6790, 220, 17, 11, 220, 5162, 21, 1306, 264, 8036, 6574, 311, 3373, 279, 12667, 59082, 13, 220, 578, 9251, 11, 330, 64589, 315, 279, 17033, 29600, 315, 1579, 5647, 315, 14523, 315, 549, 666, 519, 11, 323, 35090, 430, 813, 312, 52201, 1053, 387, 1455, 6929, 535, 311, 279, 8294, 12034, 323, 10096, 315, 279, 21021, 498, 11349, 813, 18101, 369, 2500, 4751, 439, 12667, 59082, 627, 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 ]

[ 128000, 2, 17723, 1073, 1395, 1900, 315, 650, 56479, 198, 49078, 1073, 1395, 1900, 315, 650, 56479, 374, 264, 220, 5926, 24, 3778, 21737, 11104, 4632, 15910, 555, 18063, 7553, 49, 6043, 323, 5439, 555, 10058, 473, 13, 54270, 76, 19271, 13, 578, 4632, 9958, 42907, 279, 27205, 34392, 11, 7762, 86848, 258, 11, 43881, 39274, 11, 1708, 38476, 11, 7834, 4238, 279, 34392, 323, 2947, 22575, 279, 34392, 13, 578, 4632, 574, 6004, 389, 5651, 220, 19, 11, 220, 5926, 24, 11, 555, 26581, 29485, 382, 567, 11514, 198, 12, 42907, 279, 27205, 34392, 439, 42907, 279, 27205, 34392, 198, 12, 7762, 86848, 258, 439, 56760, 13, 7762, 26952, 198, 12, 43881, 39274, 439, 10455, 11826, 198, 12, 1708, 38476, 439, 11462, 3263, 276, 198, 12, 7834, 4238, 279, 34392, 439, 7834, 4238, 198, 12, 2947, 22575, 279, 34392, 439, 2947, 22575, 271, 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 ]

[ 128000, 2, 23458, 710, 1229, 605, 198, 791, 23458, 710, 1229, 605, 374, 264, 43200, 830, 5863, 5594, 7756, 7528, 18327, 1752, 91229, 18848, 6382, 7376, 555, 23458, 710, 389, 6250, 220, 605, 11, 220, 679, 17, 13, 1102, 706, 9099, 18637, 927, 279, 1646, 433, 12860, 22416, 4113, 364, 48, 24482, 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 ]

[ 128000, 2, 6383, 89, 511, 14946, 4526, 198, 791, 6383, 89, 511, 14946, 4526, 477, 279, 480, 14283, 689, 6383, 89, 511, 14946, 482, 990, 304, 19225, 19354, 374, 264, 4526, 315, 927, 71049, 220, 508, 339, 34457, 15155, 36692, 14454, 555, 279, 29349, 15754, 93103, 6383, 89, 511, 14946, 505, 220, 6393, 24, 311, 220, 6280, 15, 13, 220, 1102, 5727, 1193, 36692, 315, 220, 1954, 555, 220, 2031, 4194, 6358, 323, 1193, 389, 279, 22100, 315, 990, 323, 659, 42557, 969, 9464, 13, 9062, 19354, 374, 13160, 330, 53, 612, 423, 498, 279, 6383, 89, 511, 14946, 6883, 13, 1102, 1457, 7739, 961, 315, 279, 17929, 582, 65490, 18969, 3074, 1891, 1789, 75, 24439, 382, 567, 53204, 323, 4375, 198, 12, 94700, 11, 18165, 351, 24235, 384, 6382, 2709, 54635, 198, 12, 50873, 7992, 29627, 14559, 452, 1113, 84, 14210, 11, 445, 6, 6802, 36110, 4428, 198, 12, 83183, 29627, 95894, 11, 2009, 296, 3978, 275, 2265, 72, 198, 12, 31447, 78, 31782, 309, 6729, 11, 40079, 376, 560, 1891, 43124, 383, 198, 12, 549, 3427, 14502, 300, 86310, 11, 650, 526, 51737, 198, 12, 14094, 4428, 12371, 1119, 72, 11, 7695, 2700, 78, 1891, 452, 15844, 198, 12, 49971, 385, 426, 14310, 35703, 11, 5034, 23935, 68636, 198, 12, 66486, 65582, 2423, 11, 2314, 3746, 266, 2265, 72, 198, 12, 90734, 23768, 969, 11, 13620, 3326, 72, 1891, 66485, 198, 12, 76952, 3320, 1149, 4575, 822, 11, 393, 3380, 51737, 1891, 81629, 198, 12, 63742, 606, 11681, 634, 78, 11, 7695, 12088, 370, 1617, 3394, 198, 12, 1556, 9697, 6489, 426, 53469, 11, 7695, 37194, 68, 26858, 16197, 2868, 198, 12, 12433, 78, 356, 5477, 258, 11, 21823, 13915, 1891, 293, 1132, 68, 198, 12, 4563, 77927, 356, 80156, 11, 7695, 348, 15790, 822, 198, 12, 9346, 11620, 9702, 77261, 11, 445, 6, 1132, 22288, 525, 198, 12, 423, 6431, 4042, 42931, 45109, 11, 356, 1791, 22288, 560, 198, 12, 15754, 93103, 8171, 540, 2177, 72, 11, 445, 3372, 78, 198, 12, 27246, 560, 10852, 3458, 11, 6621, 1156, 495, 461, 198, 12, 31447, 78, 3341, 2554, 11, 19074, 1624, 281, 1468, 461, 198, 12, 58870, 30474, 6496, 11, 3623, 496, 332, 11222, 72, 198, 12, 27246, 560, 11301, 269, 9491, 11, 2418, 72, 11, 7500, 97472, 11, 1296, 64, 9522, 12, 52210, 26520, 258, 2850, 11, 393, 3380, 51737, 1624, 2700, 78, 1891, 95951, 288, 198, 12, 2394, 11620, 2140, 72, 11, 15754, 569, 6729, 486, 198, 12, 23245, 11095, 64, 11, 358, 46155, 51737, 1624, 55318, 198, 12, 15754, 1813, 822, 409, 921, 404, 4042, 11, 1789, 55901, 1891, 38506, 69377, 198, 12, 432, 2715, 6043, 273, 1611, 2895, 2649, 11, 9346, 64, 648, 453, 66485, 198, 12, 11246, 359, 4428, 1611, 716, 78, 11, 350, 1540, 822, 384, 70866, 822, 198, 12, 16807, 88453, 1611, 393, 9667, 11, 26987, 59348, 9765, 15222, 198, 12, 89699, 1611, 91926, 14946, 11, 14582, 2259, 1891, 9036, 402, 2473, 198, 12, 23245, 53483, 6151, 11, 3341, 4042, 1891, 15550, 483, 198, 12, 62463, 548, 2939, 266, 3394, 11, 5034, 3577, 64, 887, 969, 360, 3074, 198, 12, 46665, 4618, 435, 16080, 11, 6621, 1156, 495, 461, 198, 12, 426, 752, 72, 480, 7616, 10462, 11, 2052, 19704, 1891, 281, 1468, 5808, 198, 12, 14103, 13389, 21523, 1768, 72, 11, 8930, 1169, 2629, 689, 1891, 12649, 5770, 198, 12, 12036, 5770, 480, 10002, 2473, 11, 358, 281, 290, 55039, 198, 12, 9734, 70, 34429, 12433, 72, 11, 7695, 66485, 1624, 9501, 385, 198, 12, 14094, 4428, 480, 21493, 47535, 11, 3320, 35703, 5048, 53747, 321, 13389, 198, 12, 386, 3394, 386, 4575, 2850, 11, 2522, 84, 8083, 1891, 281, 1468, 5808, 198, 12, 24270, 386, 2642, 2192, 11, 480, 747, 23087, 13557, 72, 1891, 1841, 20337, 198, 12, 63798, 53979, 11583, 773, 31803, 11, 34248, 496, 55446, 198, 12, 89699, 11258, 89, 822, 11, 452, 4896, 14356, 198, 12, 15754, 93103, 386, 625, 55397, 11, 2140, 329, 3394, 3091, 1167, 28279, 198, 12, 62463, 548, 9995, 72, 11, 57086, 3190, 72, 198, 12, 2998, 13028, 4497, 41076, 11, 5034, 610, 2649, 86647, 198, 12, 13678, 689, 4497, 7907, 11, 5034, 282, 1791, 2259, 198, 12, 2998, 93733, 8613, 75, 42327, 11, 36537, 47957, 2265, 72, 1891, 2160, 72, 198, 12, 35281, 4723, 9491, 11, 330, 6719, 312, 1195, 1, 320, 12319, 9765, 1347, 292, 5048, 1891, 1323, 72, 340, 12, 15754, 93103, 4723, 4896, 11, 33652, 43011, 23994, 198, 12, 356, 575, 462, 5770, 95189, 285, 822, 29710, 78, 11, 5034, 282, 2521, 9265, 198, 12, 58870, 56744, 29468, 47547, 11, 7695, 274, 13873, 66485, 198, 12, 18145, 61562, 39593, 438, 4896, 11, 358, 348, 526, 51737, 198, 12, 1676, 80844, 393, 8934, 258, 4428, 11, 358, 1080, 496, 332, 11222, 72, 1891, 369, 7907, 198, 12, 2998, 56347, 2394, 1141, 95894, 11, 7695, 66485, 1624, 24108, 320, 49, 275, 8318, 3980, 1640, 3457, 340, 12, 24881, 606, 16870, 2192, 11, 358, 8309, 51737, 198, 12, 52210, 16233, 29037, 11, 5034, 62940, 2259, 198, 12, 65781, 8375, 3978, 10462, 11, 5034, 19189, 73519, 689, 198, 12, 31447, 78, 49459, 72, 11, 5034, 1491, 6985, 198, 12, 15754, 93103, 23746, 23063, 78, 11, 26987, 56552, 348, 17820, 50929, 198, 12, 1708, 30637, 85962, 84, 11, 7695, 27673, 802, 4428, 198, 12, 393, 822, 14582, 797, 71, 6729, 11, 26987, 56552, 4809, 1169, 2629, 689, 198, 12, 480, 3394, 59316, 6729, 11, 4567, 65, 14559, 1624, 66485, 198, 12, 24270, 328, 2534, 72, 11, 7695, 66485, 198, 12, 75007, 65753, 328, 1885, 3457, 11, 5034, 348, 526, 25282, 198, 12, 2582, 1897, 78, 59226, 6198, 11, 5034, 57109, 580, 198, 12, 40971, 24568, 13028, 94966, 64, 11, 7695, 9148, 2119, 998, 25219, 6, 269, 13028, 198, 12, 5277, 2868, 350, 31824, 11, 10335, 265, 802, 349, 198, 12, 63651, 822, 8877, 66, 4428, 11, 480, 747, 23087, 13557, 72, 198, 12, 15754, 43761, 650, 3326, 29037, 11, 7695, 66485, 1624, 281, 1468, 461, 198, 12, 1102, 12812, 4196, 23202, 11, 2009, 63907, 24766, 198, 12, 5867, 34429, 75887, 12949, 11, 4514, 78, 1891, 9765, 1347, 3074, 198, 12, 24270, 650, 616, 5676, 5587, 72, 11, 26987, 56745, 4809, 1169, 2629, 648, 7951, 2444, 273, 198, 12, 67059, 14200, 650, 1468, 269, 6729, 11, 47863, 3091, 46155, 64, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 34785, 83647, 198, 32, 11092, 83647, 477, 83647, 22239, 374, 264, 44598, 12673, 4920, 279, 13691, 315, 264, 59785, 5089, 1511, 369, 2800, 477, 21811, 382, 567, 17554, 198, 644, 1690, 5961, 11, 12050, 527, 3917, 311, 990, 7394, 14640, 902, 4017, 279, 3392, 315, 892, 814, 649, 6678, 1603, 4737, 264, 65509, 8187, 2800, 4261, 13, 9176, 12050, 14896, 311, 6212, 304, 279, 22239, 477, 13691, 315, 872, 27861, 4856, 1109, 2343, 369, 264, 80743, 81481, 13, 34785, 17032, 3952, 5406, 315, 420, 323, 6137, 11469, 59785, 8316, 449, 11838, 272, 3518, 311, 3493, 264, 21811, 3158, 369, 12050, 13, 5664, 7394, 14640, 3881, 304, 279, 3723, 4273, 11, 4606, 11, 8494, 323, 304, 1023, 5596, 315, 279, 1917, 382, 567, 47563, 716, 89401, 198, 42845, 287, 10418, 17323, 3782, 1139, 1005, 439, 4216, 439, 279, 220, 5926, 15, 82, 11, 719, 814, 1051, 3629, 20451, 323, 29213, 13, 2435, 38913, 5535, 6506, 12, 33938, 311, 8493, 4038, 520, 264, 892, 389, 5754, 11, 3629, 10043, 304, 7411, 315, 1403, 320, 606, 23980, 1418, 279, 1023, 46498, 570, 3161, 420, 6992, 15150, 11, 12050, 6137, 3339, 7540, 311, 11092, 17032, 369, 8294, 323, 8294, 21811, 89401, 13, 47198, 6137, 54929, 311, 6506, 20197, 889, 11472, 7191, 19913, 13, 24708, 388, 1051, 15453, 8040, 2085, 6981, 304, 4059, 520, 220, 972, 311, 220, 1187, 115235, 320, 21675, 311, 220, 17608, 4194, 3906, 570, 2435, 6288, 14264, 311, 220, 1927, 311, 220, 2166, 115235, 320, 24579, 311, 220, 16, 11, 13762, 4194, 3906, 8, 449, 1317, 2902, 5049, 12050, 304, 4059, 13, 11205, 1404, 3782, 311, 387, 35319, 304, 279, 2326, 304, 279, 220, 6280, 15, 82, 719, 3160, 17294, 1051, 7108, 304, 279, 220, 3753, 15, 82, 13, 8572, 11092, 6212, 388, 13592, 304, 1404, 304, 6617, 27861, 505, 220, 1927, 115235, 320, 24579, 4194, 3906, 8, 311, 279, 11191, 220, 9870, 115235, 320, 20, 11, 25377, 4194, 3906, 570, 8572, 6212, 388, 2586, 19167, 449, 1690, 315, 279, 36483, 315, 6617, 33570, 82, 13, 3296, 220, 1049, 15, 11, 13489, 220, 2031, 4, 315, 502, 27861, 28648, 304, 279, 2326, 5343, 83647, 10418, 17323, 627, 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 ]

[ 128000, 2, 12656, 49332, 1432, 9023, 12656, 49332, 17067, 937, 393, 7532, 1777, 320, 24, 6841, 220, 11128, 22, 1389, 220, 806, 5936, 220, 9714, 24, 8, 574, 264, 27188, 28378, 323, 11164, 276, 380, 13, 5659, 220, 10336, 23, 311, 220, 9741, 15, 568, 574, 4900, 315, 279, 16591, 9304, 315, 88599, 315, 41406, 382, 567, 9601, 198, 1548, 574, 9405, 389, 220, 24, 6841, 220, 11128, 22, 304, 11291, 2025, 304, 37674, 451, 729, 35548, 13, 5414, 7126, 8111, 311, 617, 8636, 994, 568, 574, 3995, 323, 568, 7882, 311, 83244, 648, 435, 88, 1897, 596, 13330, 389, 279, 16591, 39697, 304, 41406, 449, 813, 6691, 13, 1283, 574, 33142, 304, 279, 5234, 6150, 304, 41406, 13, 1283, 20041, 16088, 520, 279, 3907, 315, 41406, 11, 57017, 449, 459, 14306, 304, 220, 10828, 16, 13, 1283, 1243, 6137, 16920, 1711, 304, 386, 29283, 3344, 3074, 520, 279, 26041, 5364, 4269, 6150, 304, 41406, 13, 1283, 574, 1101, 264, 88298, 2225, 520, 279, 41406, 16591, 15268, 404, 1563, 323, 520, 279, 41406, 3142, 70830, 729, 661, 627, 644, 220, 10750, 15, 568, 574, 5496, 520, 10690, 15992, 304, 41406, 627, 644, 220, 10336, 16, 568, 574, 16689, 264, 4562, 315, 279, 362, 3380, 360, 391, 1122, 10349, 13, 763, 220, 10336, 16, 49332, 574, 1101, 16689, 264, 4562, 315, 279, 5340, 588, 1122, 13581, 315, 41406, 323, 10434, 439, 4900, 304, 220, 9741, 18, 13, 763, 220, 9741, 20, 279, 13581, 11007, 389, 1461, 279, 16044, 1104, 2316, 315, 330, 43824, 315, 48961, 3904, 1, 323, 568, 28520, 574, 832, 315, 1202, 6367, 5548, 505, 220, 9741, 23, 12, 9714, 24, 627, 644, 220, 9741, 15, 568, 574, 16689, 264, 37946, 315, 279, 16591, 13581, 315, 41406, 11, 813, 10045, 261, 1694, 17177, 8563, 3771, 3416, 13, 1283, 2834, 279, 13581, 596, 40424, 67, 49404, 543, 47335, 32293, 369, 279, 4261, 220, 9714, 15, 12, 5538, 369, 813, 51342, 315, 8563, 8595, 5683, 13, 6193, 323, 3485, 813, 32858, 315, 279, 16591, 9304, 315, 88599, 315, 41406, 11, 568, 574, 1101, 4900, 315, 279, 3344, 4042, 30653, 404, 57673, 13581, 304, 220, 9741, 19, 323, 4900, 315, 279, 23869, 45983, 13581, 315, 41406, 304, 220, 9741, 16, 4235, 4103, 323, 220, 9741, 22, 4235, 2970, 627, 1548, 8636, 520, 813, 2162, 220, 972, 4892, 69859, 6825, 304, 41406, 596, 1561, 14298, 389, 220, 806, 5936, 220, 9714, 24, 323, 374, 28016, 304, 25028, 59578, 304, 19001, 41406, 13, 578, 25165, 15812, 389, 279, 10007, 3185, 315, 279, 7147, 50802, 279, 4113, 59404, 505, 279, 18671, 9070, 11, 3345, 311, 1202, 24024, 842, 382, 567, 62770, 198, 12, 67680, 25807, 12851, 372, 763, 19729, 324, 1604, 11, 1611, 356, 12119, 285, 3489, 9371, 473, 533, 38965, 12851, 258, 9371, 8613, 309, 435, 94218, 3935, 11, 1611, 593, 12587, 11220, 2521, 285, 12851, 258, 9371, 320, 10828, 16, 340, 12, 95946, 520, 279, 18945, 320, 9714, 22, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 328, 3329, 40617, 343, 11070, 388, 271, 791, 57281, 328, 3329, 40617, 343, 11070, 388, 320, 31606, 950, 27296, 315, 5609, 8, 527, 264, 63517, 3778, 71708, 3196, 304, 5960, 13175, 11, 7188, 13, 763, 279, 5209, 220, 3753, 15, 82, 279, 71708, 574, 1101, 3967, 439, 279, 8215, 261, 460, 68141, 439, 814, 91713, 439, 264, 25199, 71708, 6957, 4606, 198, 791, 71708, 596, 7643, 55656, 11, 10058, 32245, 6347, 54521, 11, 14454, 328, 3329, 40617, 343, 11070, 388, 304, 220, 4468, 19, 520, 279, 3907, 315, 279, 26363, 3871, 449, 279, 1023, 4236, 505, 279, 9304, 315, 10948, 627, 2028, 374, 264, 1160, 315, 279, 71708, 596, 5820, 323, 33997, 512, 679, 19, 1389, 3118, 1050, 63316, 11, 11378, 315, 47784, 82, 198, 12, 47784, 82, 304, 86302, 24076, 11, 5960, 13175, 11, 6898, 822, 331, 11, 68310, 546, 11, 52068, 23637, 323, 95535, 4409, 271, 1049, 23, 482, 679, 15, 25992, 10280, 47784, 82, 612, 10928, 26050, 3095, 198, 12, 78594, 7453, 11, 56138, 55069, 11, 16376, 51657, 323, 5960, 13175, 271, 1049, 22, 47784, 11378, 198, 12, 5629, 7188, 7327, 921, 10020, 17772, 323, 42321, 11, 5960, 34297, 4761, 285, 5481, 21530, 11004, 482, 99432, 753, 28206, 10260, 198, 12, 47784, 82, 304, 8444, 70160, 11, 95535, 4409, 11, 5960, 44670, 78, 11, 12937, 783, 271, 1049, 21, 12152, 47784, 14986, 198, 12, 87915, 7327, 921, 10020, 33995, 64, 372, 953, 86, 11, 44109, 11188, 11, 8013, 19326, 11, 7008, 5629, 11004, 482, 48302, 921, 10020, 10948, 10260, 10657, 11004, 482, 22919, 51268, 29030, 99432, 10260, 198, 12, 33995, 64, 372, 953, 86, 47784, 82, 33916, 18531, 11, 44570, 35305, 198, 12, 47784, 82, 304, 5960, 44670, 78, 11, 5960, 13175, 198, 12, 25992, 10280, 47784, 271, 1049, 20, 7665, 47784, 14986, 198, 12, 7708, 7327, 29976, 276, 9431, 323, 19294, 30748, 47633, 11, 8611, 7430, 648, 5697, 11, 18157, 21530, 11004, 482, 19294, 30748, 10260, 198, 12, 7188, 3314, 32633, 10092, 16990, 11, 41334, 17768, 315, 48698, 369, 1054, 849, 5997, 768, 304, 921, 10020, 26050, 3095, 304, 7188, 323, 33916, 279, 4435, 863, 1835, 10666, 555, 23072, 8611, 102952, 942, 198, 12, 47476, 11, 12595, 388, 220, 22, 339, 25992, 7327, 99432, 17772, 11, 9853, 12167, 198, 12, 220, 1049, 20, 4435, 76510, 22826, 449, 13960, 53883, 6243, 370, 11, 9984, 27307, 198, 12, 5960, 13175, 4409, 11166, 75200, 315, 57281, 19961, 11, 9984, 27307, 198, 12, 47784, 82, 304, 5960, 13175, 11, 30781, 11, 68310, 546, 11, 323, 52068, 23637, 198, 12, 25992, 10280, 47784, 271, 1049, 19, 7665, 47784, 14986, 198, 12, 220, 2970, 339, 445, 5317, 33389, 7327, 57357, 469, 13539, 3013, 347, 11, 23782, 23690, 11004, 482, 11995, 304, 32479, 10260, 323, 65337, 9761, 292, 10260, 198, 12, 30388, 5660, 17772, 96167, 409, 5444, 3074, 409, 73466, 343, 3714, 11, 18157, 198, 12, 47476, 11, 12595, 388, 220, 21, 339, 25992, 7327, 99432, 17772, 11, 9853, 12167, 198, 12, 47784, 82, 304, 5960, 13175, 11, 10357, 79, 21920, 11, 30781, 11, 52068, 23637, 323, 9853, 12167, 198, 12, 25992, 10280, 47784, 271, 1049, 18, 12550, 47784, 14986, 198, 12, 17244, 17772, 67661, 532, 409, 4563, 437, 11, 393, 361, 65826, 11, 12550, 650, 9437, 1054, 14809, 99432, 89874, 12, 47784, 82, 304, 5960, 13175, 11, 5960, 11097, 11, 52068, 23637, 323, 10357, 79, 21920, 198, 12, 25992, 10280, 47784, 271, 2550, 21, 10057, 47784, 14986, 198, 12, 47784, 82, 304, 2204, 9919, 304, 10057, 271, 2550, 19, 18157, 47784, 14986, 198, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47784, 82, 34496, 9919, 304, 279, 32544, 82371, 5654, 315, 18157, 271, 3753, 18, 7665, 612, 17355, 3778, 14986, 198, 12, 7054, 32293, 20572, 40, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 12433, 78, 423, 529, 11787, 46748, 11, 15704, 65337, 9761, 292, 10260, 198, 12, 7054, 32293, 30388, 5660, 7327, 921, 10020, 42321, 11, 47247, 63141, 1389, 15704, 65337, 9761, 292, 10260, 198, 12, 47476, 11, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47784, 82, 10057, 11, 15704, 11, 18157, 11, 34250, 437, 87210, 689, 11, 3723, 15422, 11, 9822, 11, 7008, 11, 7427, 271, 3753, 16, 7665, 14986, 198, 12, 21530, 32293, 445, 5317, 33389, 7327, 57357, 469, 13539, 3013, 347, 11, 23782, 320, 87533, 99432, 10260, 340, 12, 7054, 32293, 30388, 53, 23440, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 12433, 78, 423, 529, 11787, 46748, 11, 15704, 198, 12, 19960, 99432, 10260, 320, 32, 588, 23880, 19960, 99432, 340, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47476, 622, 1540, 3536, 5444, 3074, 645, 4514, 85239, 11, 28035, 11, 18157, 198, 12, 47476, 6460, 8930, 37541, 10948, 9702, 11, 64158, 11, 3723, 15422, 198, 12, 47784, 82, 3723, 15422, 11, 18157, 11, 15704, 11, 10057, 271, 3753, 15, 7665, 47784, 14986, 198, 12, 10517, 32293, 2009, 6151, 349, 4657, 15663, 25807, 81423, 290, 379, 3735, 333, 65045, 650, 5171, 300, 11, 59602, 12252, 11, 18157, 198, 12, 21530, 32293, 445, 5317, 33389, 7327, 57357, 469, 13539, 3013, 347, 11, 23782, 482, 65337, 9761, 292, 10260, 320, 5451, 57281, 99432, 311, 16136, 304, 279, 469, 13539, 3013, 347, 340, 12, 47476, 12103, 12778, 7881, 30160, 10948, 9702, 11, 10057, 198, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47476, 42931, 529, 64916, 28035, 11, 18157, 198, 12, 61647, 13792, 432, 1263, 69, 3200, 83239, 11, 10057, 198, 12, 47784, 82, 18157, 11, 3723, 15422, 11, 10057, 11, 35998, 11, 35440, 271, 4468, 24, 7665, 47784, 14986, 198, 12, 5629, 32293, 30388, 53, 5660, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 12433, 78, 423, 529, 11787, 46748, 11, 15704, 198, 12, 47476, 42931, 529, 64916, 409, 22989, 343, 5621, 343, 11, 18157, 198, 12, 47476, 53694, 66403, 1624, 42931, 529, 64916, 28035, 11, 18157, 198, 12, 21304, 520, 578, 4435, 69924, 315, 7923, 1430, 8375, 9339, 753, 38571, 20603, 386, 24201, 304, 39553, 7881, 11, 10057, 198, 12, 21304, 520, 578, 220, 4728, 339, 1060, 75200, 315, 279, 18452, 483, 57829, 315, 79158, 11, 10057, 198, 12, 47784, 82, 3723, 15422, 11, 10057, 11, 18157, 11, 97877, 11, 28702, 11, 15704, 271, 644, 220, 3753, 15, 54521, 1101, 13375, 279, 21998, 23880, 19960, 921, 10020, 323, 4036, 279, 5629, 22643, 369, 279, 8762, 71708, 5699, 520, 279, 30388, 53, 23440, 1221, 6133, 708, 3735, 333, 263, 4042, 4514, 38135, 11, 12433, 78, 294, 529, 8886, 46748, 11, 15704, 13, 1283, 81754, 279, 328, 3329, 40617, 343, 71708, 304, 220, 1049, 17, 26, 304, 220, 1049, 18, 814, 1051, 16626, 1054, 14809, 99432, 863, 304, 279, 4435, 921, 10020, 17772, 304, 393, 361, 65826, 11, 12550, 13, 2435, 1101, 2834, 220, 19, 339, 2035, 520, 279, 20072, 526, 33389, 7327, 57357, 469, 13539, 3013, 347, 304, 220, 1049, 19, 345, 38075, 22643, 520, 279, 7327, 29976, 276, 9431, 323, 19294, 30748, 47633, 315, 8611, 7430, 648, 5697, 11, 18157, 304, 220, 1049, 20, 323, 198, 5451, 22643, 323, 10657, 32293, 520, 33995, 64, 25330, 21659, 7327, 921, 10020, 42321, 304, 44109, 11188, 11, 18531, 11, 7008, 304, 220, 1049, 21, 13, 28232, 220, 1049, 24, 12, 679, 19, 279, 71708, 574, 389, 264, 81286, 719, 2533, 3389, 220, 679, 19, 279, 71708, 374, 3131, 1578, 4642, 13, 11205, 1455, 3293, 20392, 574, 264, 4731, 19309, 2391, 5887, 220, 679, 21, 304, 54333, 998, 11, 15704, 720, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 26068, 23263, 198, 30962, 23263, 320, 9390, 15, 6912, 8, 574, 264, 9063, 8216, 13788, 279, 32568, 847, 3444, 3158, 449, 264, 41985, 3645, 13, 578, 8216, 574, 1234, 279, 15637, 315, 22791, 65780, 13792, 11, 4953, 627, 30962, 23263, 596, 5842, 574, 26765, 555, 279, 12411, 26545, 9849, 389, 5587, 220, 717, 11, 220, 679, 24, 11, 4245, 311, 279, 8216, 3515, 1027, 21737, 2533, 3297, 220, 1591, 11, 220, 679, 22, 627, 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 ]

[ 128000, 2, 578, 393, 1693, 86, 5908, 520, 5236, 73934, 6672, 198, 791, 393, 1693, 86, 5908, 520, 5236, 73934, 6672, 374, 264, 2911, 596, 11775, 555, 20263, 818, 57628, 543, 11, 4756, 555, 13934, 454, 69, 304, 220, 679, 16, 13, 1102, 374, 279, 4948, 2363, 304, 578, 393, 1693, 86, 5908, 4101, 11, 323, 374, 53580, 555, 578, 393, 1693, 86, 5908, 389, 23251, 309, 6825, 13, 578, 9861, 6603, 304, 279, 4101, 527, 578, 393, 1693, 86, 5908, 304, 12531, 323, 578, 393, 1693, 86, 5908, 520, 8155, 11, 279, 1566, 315, 1124, 1694, 4756, 304, 220, 679, 23, 627, 791, 1925, 6376, 315, 279, 2363, 11, 5236, 73934, 6672, 11, 374, 3196, 389, 22302, 5236, 11, 3221, 64370, 47364, 40282, 304, 30890, 627, 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 ]

[ 128000, 2, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 198, 791, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 374, 279, 32415, 315, 1403, 6989, 315, 264, 4987, 11904, 8431, 20841, 369, 14385, 315, 86166, 430, 574, 304, 1005, 505, 220, 6280, 17, 311, 220, 5162, 16, 11, 1418, 279, 3224, 574, 2103, 264, 25543, 87149, 304, 279, 8013, 38298, 13, 578, 20841, 574, 81099, 555, 16657, 21393, 8105, 389, 220, 868, 6790, 220, 6280, 17, 382, 567, 43964, 198, 791, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 279, 32415, 315, 1403, 6989, 315, 4987, 10384, 596, 8592, 30028, 20841, 369, 86166, 11, 574, 81099, 555, 16591, 468, 6736, 315, 220, 868, 6790, 220, 6280, 17, 11, 4756, 304, 10423, 75682, 912, 13, 220, 14408, 18, 30105, 220, 1544, 7552, 220, 6280, 18, 13, 578, 37712, 12860, 279, 9323, 315, 4987, 10384, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 1306, 279, 85045, 311, 279, 8013, 91701, 315, 16657, 21393, 8105, 389, 220, 21, 7552, 220, 6280, 17, 382, 567, 17768, 13186, 198, 791, 6931, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 574, 22034, 311, 44917, 14385, 315, 19754, 32310, 10887, 304, 279, 3663, 315, 51551, 323, 8196, 60392, 555, 1884, 11062, 315, 279, 9323, 315, 4987, 10384, 477, 1202, 18222, 39543, 889, 52356, 872, 6439, 304, 279, 1180, 315, 14324, 11, 477, 90031, 287, 311, 3665, 11, 279, 6439, 315, 3885, 13, 30538, 279, 15244, 315, 279, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 279, 4787, 315, 41734, 430, 1047, 9435, 311, 279, 6342, 596, 17867, 1051, 17626, 311, 2997, 2536, 1824, 275, 30060, 315, 279, 9323, 369, 14385, 315, 19754, 32310, 2949, 279, 9323, 477, 1418, 14324, 477, 90031, 287, 311, 3665, 279, 6439, 315, 10495, 315, 279, 9323, 18403, 382, 567, 7365, 315, 10051, 198, 644, 279, 8013, 2015, 315, 54156, 11, 279, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 21467, 439, 264, 4948, 2237, 20841, 11, 13890, 311, 279, 16657, 596, 25919, 32310, 17867, 13, 1102, 374, 53580, 304, 2015, 315, 10051, 555, 279, 7904, 423, 80382, 5475, 17867, 323, 26399, 555, 279, 423, 80382, 5475, 17867, 627, 644, 4987, 10384, 11, 279, 37712, 374, 21682, 439, 264, 2132, 2237, 20841, 323, 11, 8994, 1202, 2704, 11, 433, 706, 912, 1772, 5392, 316, 992, 12197, 13, 1102, 374, 53580, 555, 279, 9928, 86, 468, 752, 804, 65119, 323, 26399, 555, 279, 4987, 11904, 10289, 11511, 369, 3320, 25727, 627, 791, 37712, 21467, 389, 1370, 449, 279, 6931, 9323, 315, 4987, 10384, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 323, 279, 17876, 30643, 880, 1037, 65119, 369, 3320, 25727, 11, 15347, 382, 567, 7817, 198, 4213, 4550, 198, 791, 20841, 374, 17948, 304, 15310, 323, 374, 264, 13668, 11, 220, 1987, 2606, 86366, 417, 304, 23899, 449, 264, 9408, 31230, 323, 264, 3544, 10264, 9482, 1693, 13, 578, 1536, 4550, 62991, 279, 79743, 3369, 93593, 315, 16657, 21393, 8105, 11, 13176, 1314, 323, 23712, 555, 279, 51670, 330, 2818, 2913, 1905, 7780, 8105, 3467, 40, 95341, 5987, 13990, 33004, 435, 13, 423, 1210, 2212, 279, 47442, 627, 46795, 198, 791, 10134, 374, 20086, 311, 430, 315, 279, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 323, 62991, 279, 220, 972, 339, 34457, 29715, 12084, 30643, 969, 329, 30643, 880, 1037, 389, 813, 15580, 11, 13208, 7623, 8448, 86, 25662, 32696, 505, 264, 13766, 88, 9581, 13, 578, 2217, 374, 4319, 6370, 17890, 2212, 279, 1948, 304, 6498, 323, 127113, 598, 449, 279, 4339, 330, 32002, 74863, 31619, 7436, 75795, 423, 64538, 1837, 926, 23811, 49, 36180, 198, 791, 45667, 374, 1101, 20086, 311, 430, 315, 279, 6342, 596, 17867, 369, 3320, 25727, 11, 15347, 11, 220, 2096, 2606, 86366, 417, 7029, 323, 6453, 6437, 449, 220, 19, 27154, 2606, 86366, 417, 7029, 19087, 13116, 382, 567, 4185, 22025, 4090, 198, 791, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 574, 65259, 5304, 279, 21967, 315, 279, 5545, 315, 4987, 10384, 389, 220, 2148, 3297, 220, 5162, 16, 13, 1102, 574, 26399, 555, 279, 30643, 880, 1037, 65119, 369, 3320, 25727, 11, 15347, 430, 574, 81099, 389, 220, 508, 3297, 220, 4468, 15, 382, 567, 4158, 14449, 198, 7456, 832, 10292, 315, 279, 9323, 315, 4987, 10384, 16657, 596, 17867, 369, 3320, 25727, 11, 15347, 574, 1903, 11, 117015, 6702, 389, 220, 1544, 5587, 220, 6280, 18, 11, 311, 4491, 54300, 11289, 12131, 452, 8839, 268, 11, 889, 6924, 264, 4333, 889, 1047, 1027, 24269, 323, 6832, 2531, 1047, 1027, 78549, 1022, 555, 264, 44892, 520, 468, 771, 645, 652, 3159, 304, 42701, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 13528, 267, 2357, 8207, 8216, 198, 77489, 267, 2357, 8207, 8216, 374, 279, 8216, 315, 13528, 267, 2357, 8207, 304, 279, 6063, 1614, 315, 16835, 55485, 13, 1102, 15812, 389, 279, 20437, 4235, 39, 32548, 55556, 323, 574, 9107, 369, 46217, 304, 220, 9741, 18, 323, 369, 22961, 304, 220, 9741, 24, 13, 578, 13528, 267, 2357, 8207, 8216, 315, 279, 4846, 4410, 652, 625, 11289, 11182, 22249, 55556, 320, 33179, 25, 4410, 652, 625, 21114, 30718, 285, 12928, 65, 30660, 8, 574, 14373, 323, 574, 10434, 555, 24023, 3600, 505, 220, 7529, 16, 311, 220, 4468, 20, 323, 555, 46217, 9629, 3156, 279, 7314, 315, 279, 220, 2550, 15, 82, 13, 578, 1614, 8216, 596, 4275, 511, 448, 950, 20396, 4857, 3235, 449, 264, 2132, 4857, 11, 1202, 11822, 25351, 323, 279, 82568, 315, 279, 2291, 63858, 617, 28948, 9313, 382, 567, 10067, 198, 791, 8216, 374, 7559, 520, 44987, 265, 220, 8929, 13, 18, 315, 279, 20437, 4235, 39, 32548, 40106, 323, 9909, 315, 279, 12541, 315, 13528, 267, 2357, 8207, 13, 578, 40106, 8640, 304, 420, 3158, 304, 264, 17715, 10411, 1355, 2969, 5216, 323, 11, 304, 279, 8216, 3158, 11, 28129, 279, 2362, 6149, 315, 6918, 27834, 220, 20, 11, 902, 1457, 8640, 389, 264, 31818, 315, 279, 6424, 311, 279, 10007, 13, 10180, 220, 868, 52957, 311, 279, 10007, 40607, 374, 279, 9474, 10954, 315, 3700, 273, 7881, 323, 1120, 220, 508, 4194, 16400, 311, 279, 10007, 374, 279, 40106, 49341, 315, 468, 23257, 655, 713, 13, 578, 6149, 315, 279, 4410, 652, 625, 11289, 11182, 22249, 55556, 505, 3700, 273, 7881, 311, 13528, 267, 2357, 8207, 8813, 279, 6424, 505, 279, 11226, 323, 10837, 369, 264, 2875, 6138, 15638, 311, 279, 1925, 1584, 304, 279, 6424, 323, 1243, 8738, 311, 279, 41929, 382, 567, 11346, 198, 791, 20437, 4235, 39, 32548, 40106, 1990, 20437, 323, 2577, 24604, 10481, 574, 9107, 389, 220, 868, 6664, 220, 10336, 21, 13, 12220, 279, 1176, 1667, 315, 5784, 389, 279, 1584, 11, 43241, 68846, 363, 8216, 574, 279, 1193, 8216, 389, 279, 1584, 1990, 468, 23257, 655, 713, 323, 37294, 363, 13, 1115, 1457, 8036, 8216, 10434, 439, 279, 3973, 8216, 389, 279, 3973, 315, 2394, 29578, 323, 2206, 377, 2963, 10481, 6354, 331, 6703, 258, 627, 77489, 267, 2357, 8207, 8216, 1176, 4024, 304, 5784, 369, 46217, 7710, 389, 220, 16, 6841, 220, 9741, 18, 13, 578, 81263, 18442, 11289, 13299, 1923, 363, 8351, 320, 38, 94210, 11289, 13299, 1923, 1223, 6830, 5964, 72, 833, 288, 70801, 8, 1511, 279, 8216, 311, 7710, 72700, 635, 68768, 3221, 81263, 18442, 11289, 323, 4529, 555, 5754, 311, 13528, 267, 2357, 8207, 13, 68734, 3600, 65362, 520, 279, 8216, 304, 220, 9741, 24, 449, 279, 9954, 315, 279, 20396, 4857, 13, 2435, 1550, 539, 5101, 304, 279, 67640, 315, 220, 9741, 20, 627, 38120, 13840, 315, 24023, 28788, 10717, 520, 279, 8216, 304, 220, 9367, 15, 13, 578, 4410, 652, 625, 11289, 11182, 22249, 55556, 574, 9107, 304, 220, 7529, 16, 323, 1047, 1202, 8216, 389, 279, 2291, 63858, 315, 279, 8216, 315, 279, 1614, 40106, 627, 2127, 13489, 17510, 13437, 24725, 3857, 315, 279, 1584, 2212, 13528, 267, 2357, 8207, 11, 902, 374, 4661, 7833, 11, 574, 1511, 304, 279, 3389, 220, 5926, 15, 82, 369, 1579, 30699, 7177, 13, 763, 220, 7285, 16, 11, 279, 5124, 32361, 3059, 69108, 315, 66620, 16852, 1983, 56936, 8813, 264, 1917, 4732, 3335, 315, 220, 9870, 4194, 16400, 7682, 304, 13528, 267, 2357, 8207, 11, 902, 433, 5762, 369, 220, 1187, 1667, 627, 12465, 10214, 9629, 27378, 14958, 24070, 13, 763, 279, 220, 7285, 15, 82, 11, 4848, 13840, 315, 24023, 28788, 264, 1938, 10434, 279, 8216, 11, 3116, 315, 902, 10837, 311, 20437, 11, 279, 1023, 1403, 1193, 439, 3117, 439, 468, 23257, 655, 713, 627, 12465, 10214, 3600, 389, 279, 4410, 652, 625, 11289, 11182, 22249, 55556, 1051, 23838, 304, 220, 4468, 20, 13, 7648, 315, 279, 1584, 574, 23838, 11, 719, 46217, 8738, 311, 14816, 389, 279, 3857, 505, 13528, 267, 2357, 8207, 311, 3700, 273, 7881, 3156, 279, 4216, 220, 2550, 15, 82, 323, 433, 574, 1511, 369, 28961, 3521, 76339, 13, 50487, 11, 279, 3857, 505, 13528, 267, 2357, 8207, 311, 24079, 57365, 78275, 3221, 423, 543, 1083, 14958, 1825, 311, 4667, 449, 264, 2254, 70181, 8803, 3156, 1306, 220, 2550, 15, 627, 791, 3717, 505, 7023, 451, 10481, 311, 5124, 6703, 258, 11, 2737, 279, 1584, 1555, 13528, 267, 2357, 8207, 8216, 11, 574, 43906, 1908, 304, 220, 3753, 21, 14, 4044, 13, 763, 279, 2132, 4376, 315, 279, 220, 3753, 15, 82, 11, 13528, 267, 2357, 8207, 574, 10434, 555, 264, 2478, 61523, 47114, 14694, 773, 320, 14107, 8, 3600, 13, 94666, 264, 2046, 459, 3237, 5542, 10837, 505, 5124, 6703, 258, 311, 20437, 323, 1203, 323, 10717, 520, 279, 8216, 13, 18715, 11, 24023, 3600, 1051, 7347, 369, 11026, 311, 3116, 13840, 315, 28788, 264, 1938, 627, 644, 279, 5209, 12, 2550, 15, 82, 11, 3600, 1051, 11838, 323, 279, 67640, 3984, 5912, 20653, 6283, 3600, 13, 8949, 28788, 4401, 1990, 468, 23257, 655, 713, 323, 5124, 6703, 258, 8854, 13528, 267, 2357, 8207, 1475, 1403, 4207, 627, 644, 279, 220, 2550, 15, 82, 11, 279, 8216, 574, 60685, 323, 3984, 449, 15771, 389, 279, 23651, 3422, 315, 279, 14242, 13, 763, 264, 2132, 6566, 11, 279, 1584, 574, 33624, 311, 264, 7340, 4732, 315, 220, 9870, 4194, 16400, 7682, 323, 682, 2237, 87199, 1051, 7108, 323, 12860, 555, 927, 95423, 477, 1234, 95423, 13, 578, 27736, 315, 279, 4846, 6918, 27834, 304, 279, 8216, 3158, 574, 6724, 8036, 11, 719, 56183, 323, 62558, 649, 1005, 279, 5452, 26711, 627, 15724, 320, 2366, 18, 8, 13528, 267, 2357, 8207, 17040, 374, 10434, 555, 3680, 220, 23, 1475, 1403, 4207, 25, 468, 2191, 277, 4194, 4235, 5124, 6703, 258, 4194, 4235, 85550, 3306, 592, 1389, 13528, 267, 2357, 8207, 4194, 4235, 220, 20437, 220, 1389, 94674, 21348, 271, 14711, 17040, 323, 4676, 198, 791, 8216, 4857, 374, 389, 279, 11226, 3185, 315, 279, 14242, 7119, 279, 6424, 13, 1102, 13517, 1047, 3116, 76563, 389, 1202, 1317, 3185, 449, 264, 342, 2364, 15485, 323, 264, 8792, 33670, 46713, 1725, 449, 1403, 76563, 389, 279, 5452, 3185, 13, 1102, 574, 4528, 311, 279, 8216, 14016, 430, 1047, 1027, 5918, 6931, 389, 279, 20437, 4235, 39, 32548, 40106, 11, 1778, 439, 1884, 304, 37294, 363, 323, 31782, 25356, 69, 11, 8051, 814, 1051, 5918, 449, 4330, 76563, 505, 279, 7314, 13, 578, 33670, 46713, 1725, 389, 279, 6424, 3185, 574, 1193, 67469, 520, 13, 578, 4857, 574, 17626, 33452, 304, 220, 9674, 22, 14, 2495, 13, 13596, 4330, 76563, 1051, 5918, 311, 279, 10007, 323, 279, 18561, 1403, 1101, 1051, 961, 315, 459, 33670, 46713, 1725, 11, 779, 430, 279, 4857, 8111, 505, 279, 3839, 3185, 311, 387, 13489, 8045, 59402, 627, 2654, 66305, 279, 8216, 4857, 311, 279, 10411, 11, 1070, 374, 264, 2678, 704, 24177, 449, 264, 4376, 2442, 318, 655, 291, 62716, 304, 1202, 15485, 3158, 13, 9393, 420, 4857, 574, 2736, 6982, 389, 264, 2472, 5029, 505, 2212, 220, 9714, 15, 11, 433, 374, 11846, 430, 433, 374, 832, 315, 279, 24417, 5596, 315, 279, 8216, 323, 11000, 13003, 1203, 311, 279, 892, 1603, 279, 8246, 315, 279, 20396, 4857, 13, 16782, 4726, 10411, 374, 279, 4846, 11822, 25351, 13, 9479, 311, 279, 8216, 4857, 311, 279, 10007, 1070, 574, 264, 8821, 27306, 2565, 5918, 704, 315, 25878, 304, 264, 330, 442, 8322, 1742, 3343, 1102, 574, 76993, 311, 1304, 3130, 369, 459, 9070, 311, 279, 5452, 26711, 2391, 279, 50555, 315, 279, 8216, 627, 644, 279, 4216, 220, 1049, 15, 82, 11, 279, 4857, 574, 832, 315, 279, 2478, 8216, 14016, 430, 1047, 26968, 505, 279, 4216, 1667, 315, 279, 20437, 4235, 39, 32548, 55556, 430, 574, 539, 3686, 264, 28948, 9206, 291, 4857, 13, 8876, 1243, 11, 279, 40126, 315, 279, 8216, 11, 330, 6387, 11330, 315, 279, 1925, 8216, 14016, 11, 279, 704, 24177, 11, 279, 11822, 25351, 323, 279, 82568, 498, 617, 1027, 2728, 28948, 9313, 13, 4740, 279, 4857, 1047, 1317, 14980, 4384, 369, 279, 1455, 961, 11, 279, 1566, 9861, 26305, 11, 264, 10960, 11, 2163, 279, 8216, 304, 4216, 220, 679, 18, 382, 14711, 7089, 14054, 198, 38363, 1070, 574, 264, 5452, 1828, 311, 279, 8216, 4857, 389, 279, 1925, 3839, 311, 279, 10411, 323, 420, 5452, 574, 15987, 4669, 3585, 505, 279, 3839, 4401, 304, 279, 14329, 5216, 13, 4410, 315, 279, 1555, 14242, 1070, 1051, 46217, 14242, 323, 810, 46217, 14414, 826, 11096, 389, 279, 24024, 3185, 315, 279, 8216, 10411, 315, 279, 20396, 4857, 13, 763, 420, 3158, 574, 279, 8481, 3839, 311, 279, 4410, 652, 625, 11289, 11182, 22249, 55556, 13, 11699, 5452, 574, 304, 279, 2291, 63858, 315, 279, 1614, 8216, 323, 10411, 315, 433, 1070, 1051, 13077, 369, 46217, 7710, 627, 12834, 1202, 50555, 11, 279, 8216, 706, 2380, 1555, 14242, 13, 578, 1925, 5452, 374, 7559, 389, 279, 1925, 3839, 4401, 311, 279, 10411, 13, 578, 4994, 5452, 369, 28788, 4401, 311, 279, 10007, 374, 389, 264, 5043, 3839, 323, 304, 1990, 1070, 374, 264, 3839, 2085, 264, 5452, 369, 1555, 28788, 13, 11995, 15771, 527, 8599, 555, 459, 1234, 6519, 449, 87216, 627, 2520, 46217, 9629, 1070, 374, 2103, 264, 76785, 3717, 311, 279, 25878, 4375, 389, 279, 53342, 3185, 315, 279, 40106, 14242, 323, 264, 3717, 311, 264, 24875, 2626, 389, 279, 41929, 3185, 374, 2103, 10434, 13, 7089, 13537, 34833, 6197, 311, 264, 34479, 323, 264, 28091, 1147, 8803, 11226, 323, 41929, 315, 279, 8216, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 14253, 30427, 25744, 22967, 198, 42398, 30427, 25744, 22967, 374, 459, 13673, 14253, 30427, 7359, 635, 3549, 304, 220, 1049, 18, 555, 13673, 32639, 25871, 14583, 11872, 13, 14253, 30427, 3229, 622, 13, 735, 13, 96607, 22034, 279, 3997, 264, 330, 59377, 13207, 17768, 498, 28898, 430, 10768, 275, 60, 374, 264, 2294, 13673, 2816, 449, 459, 10098, 3210, 3995, 5687, 889, 617, 9124, 1063, 2216, 70162, 6576, 10522, 2266, 567, 35907, 198, 42398, 30427, 25744, 22967, 596, 1925, 5357, 374, 279, 10401, 315, 14253, 30427, 3754, 323, 14253, 30427, 5552, 10430, 323, 8970, 13, 578, 2816, 706, 9960, 4455, 304, 279, 3723, 4273, 11, 3723, 15422, 323, 8494, 11, 2737, 2363, 19786, 11, 5818, 19786, 11, 21134, 288, 323, 8571, 66237, 13, 2468, 279, 29788, 315, 32780, 34321, 2637, 433, 706, 9960, 279, 2326, 323, 6560, 21134, 288, 315, 279, 1566, 4848, 14253, 30427, 12631, 323, 706, 11157, 12263, 78614, 5294, 31362, 311, 1934, 389, 14253, 30427, 39970, 13, 578, 3997, 706, 1101, 1027, 4183, 369, 46643, 304, 279, 73081, 30802, 555, 279, 5165, 11896, 315, 8494, 627, 791, 2816, 706, 1047, 279, 6776, 311, 7274, 1690, 315, 279, 6445, 323, 13941, 6532, 304, 279, 14253, 30427, 4632, 19562, 11, 2737, 15469, 21254, 80556, 11, 87269, 480, 1616, 11, 8529, 27246, 783, 11, 10641, 12930, 38206, 11, 25871, 100165, 11, 7957, 91636, 11, 36857, 12424, 28163, 323, 13941, 3697, 6941, 84813, 11, 6941, 28653, 1543, 323, 6941, 32817, 263, 13, 23212, 11, 622, 13, 735, 13, 96607, 19089, 4860, 505, 459, 1825, 6661, 5439, 555, 279, 2816, 627, 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 ]

[ 128000, 2, 11208, 279, 18449, 2209, 320, 2550, 15, 4632, 340, 9241, 279, 18449, 2209, 374, 264, 220, 2550, 15, 3778, 24364, 23160, 4632, 1080, 67383, 323, 15910, 555, 3842, 2577, 63975, 323, 40500, 423, 370, 3520, 50532, 11, 86868, 76155, 1543, 11, 91162, 92897, 11, 4656, 13391, 258, 95183, 11, 17360, 4341, 3383, 285, 11, 323, 26035, 1856, 63373, 382, 567, 27124, 198, 626, 27595, 99974, 467, 374, 264, 6992, 659, 27975, 36261, 6055, 6335, 889, 46303, 709, 14016, 369, 264, 5496, 13, 763, 279, 35446, 315, 832, 1778, 2447, 11, 264, 1912, 315, 26827, 18417, 279, 1566, 4857, 389, 264, 2763, 11, 279, 24113, 4783, 11, 505, 1694, 76993, 13, 3277, 99974, 467, 8111, 389, 6007, 311, 13738, 279, 22670, 11, 568, 374, 1903, 311, 1427, 46337, 13, 74347, 2162, 11, 813, 2380, 7926, 57859, 2911, 1389, 423, 1366, 818, 11, 60470, 11, 323, 28933, 1389, 94847, 1461, 369, 813, 12707, 11341, 627, 6251, 20659, 813, 2911, 527, 72524, 11, 99974, 467, 37350, 1124, 704, 315, 279, 3838, 13, 58951, 1124, 1855, 400, 11711, 11, 568, 21701, 1124, 1022, 520, 279, 24113, 4783, 11, 902, 374, 19371, 44221, 660, 323, 389, 279, 59818, 315, 18678, 13, 20263, 11, 872, 6691, 11, 16696, 311, 3009, 1461, 719, 304, 46604, 627, 644, 2015, 311, 17452, 872, 502, 6439, 11, 279, 2911, 1935, 389, 3838, 16862, 13, 4314, 2997, 264, 11401, 15034, 7086, 84224, 26, 264, 23855, 90441, 11, 1443, 23660, 26, 264, 5708, 70409, 11, 8529, 26, 323, 1443, 46125, 11, 459, 19077, 74926, 380, 13, 60470, 374, 44224, 311, 6381, 264, 13470, 369, 459, 8276, 2883, 13, 84224, 706, 311, 4686, 813, 14769, 369, 264, 11401, 1501, 13, 60470, 5829, 1077, 3130, 16862, 311, 1646, 304, 279, 13470, 11, 52913, 872, 13162, 1139, 8537, 44353, 65636, 375, 326, 6, 4748, 321, 8309, 1147, 389, 872, 14620, 11, 323, 84224, 10548, 709, 1701, 1063, 315, 1124, 369, 813, 1501, 627, 32, 5708, 3157, 10121, 1405, 8529, 374, 89382, 8647, 369, 99974, 467, 596, 5708, 71278, 287, 12716, 99974, 467, 311, 38339, 13, 1283, 38643, 13865, 311, 357, 525, 1022, 264, 33615, 64310, 315, 813, 61698, 2883, 11, 719, 14865, 13, 20263, 5039, 709, 520, 279, 24113, 4783, 54119, 950, 439, 568, 33291, 872, 2162, 323, 814, 3719, 3281, 275, 1088, 627, 26353, 33, 467, 61370, 1139, 279, 3363, 11, 8430, 1523, 323, 704, 13, 75247, 304, 279, 23855, 55043, 3830, 559, 519, 88, 6424, 11, 83750, 833, 287, 279, 1828, 1938, 304, 279, 10488, 13, 55106, 11, 813, 2911, 1935, 1461, 304, 1306, 1443, 46125, 14035, 1461, 11, 323, 568, 8638, 311, 1518, 279, 1917, 304, 264, 502, 3177, 627, 35212, 13060, 505, 24113, 4783, 1306, 814, 617, 682, 9087, 84224, 449, 813, 37862, 323, 60470, 449, 1077, 13470, 11, 279, 23855, 23756, 10800, 279, 99974, 1771, 323, 4885, 3201, 13, 28933, 706, 459, 4248, 15619, 3852, 11, 439, 1070, 374, 264, 3958, 37943, 27511, 323, 279, 24113, 4783, 374, 2080, 43024, 7120, 801, 11, 311, 1005, 813, 7126, 596, 61698, 7512, 627, 791, 3070, 1421, 9146, 872, 6012, 323, 12205, 11, 323, 617, 9687, 1268, 311, 3974, 810, 5042, 382, 567, 11514, 198, 12, 423, 370, 3520, 50532, 439, 29868, 99974, 467, 198, 12, 91162, 92897, 439, 20263, 99974, 467, 198, 12, 17360, 4341, 3383, 285, 439, 60470, 99974, 467, 198, 12, 86868, 76155, 1543, 439, 423, 1366, 818, 99974, 467, 198, 12, 6941, 60350, 28163, 439, 28933, 99974, 467, 198, 12, 4656, 13391, 258, 95183, 439, 84224, 198, 12, 26035, 1856, 63373, 439, 330, 2059, 23660, 702, 12, 11583, 3431, 921, 352, 8148, 439, 14253, 198, 12, 44458, 52294, 439, 8529, 198, 12, 95175, 74813, 439, 1443, 46125, 198, 12, 14594, 393, 28523, 439, 24051, 1432, 567, 77051, 198, 9241, 279, 18449, 2209, 574, 31555, 4036, 555, 23531, 13, 1952, 3477, 97780, 432, 10503, 8529, 20798, 11, 279, 4632, 10187, 264, 5573, 315, 220, 24, 4, 3196, 389, 220, 806, 8544, 11, 449, 459, 5578, 10959, 315, 220, 18, 13, 23, 14, 605, 13, 29607, 469, 9339, 315, 279, 10780, 8219, 9469, 1769, 6267, 11, 10768, 791, 4632, 60, 374, 16168, 264, 282, 481, 743, 304, 279, 5076, 3363, 13, 11699, 3446, 3250, 956, 5052, 304, 1561, 4356, 477, 2873, 12722, 9277, 304, 220, 2550, 15, 26, 433, 596, 539, 4062, 2695, 3847, 477, 8761, 4773, 472, 3403, 10246, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 1901, 278, 300, 38237, 76, 7141, 107584, 198, 57, 278, 300, 38237, 76, 7141, 107584, 374, 264, 14458, 304, 1901, 6181, 6406, 11, 43876, 627, 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 ]

[ 128000, 2, 4892, 10913, 20355, 198, 26287, 10913, 20355, 11, 5596, 315, 902, 527, 7170, 14183, 311, 439, 279, 17355, 36332, 11, 374, 264, 5654, 304, 279, 549, 815, 13, 1614, 315, 20355, 902, 17610, 315, 59139, 31276, 382, 567, 11346, 198, 791, 5654, 374, 11846, 311, 617, 1027, 23183, 555, 51607, 304, 220, 10005, 24, 719, 574, 539, 19073, 12715, 3156, 220, 10967, 16, 13, 7648, 315, 279, 15235, 1705, 1051, 315, 24113, 11, 6498, 11, 6063, 477, 85674, 66004, 13, 32499, 311, 1521, 61107, 420, 3158, 574, 1234, 279, 2585, 315, 5361, 17118, 3778, 39503, 627, 2028, 5654, 374, 832, 315, 279, 1614, 596, 1455, 9257, 304, 3878, 315, 13970, 26431, 11, 5526, 7829, 323, 7187, 20057, 13, 24191, 315, 420, 3158, 374, 304, 279, 16687, 593, 71, 12930, 13345, 902, 5727, 279, 16687, 593, 71, 12930, 11188, 902, 28555, 1555, 1561, 4356, 11, 20355, 11, 323, 23481, 13, 578, 18671, 3646, 961, 315, 420, 5654, 374, 77317, 311, 279, 10411, 555, 279, 16642, 36332, 315, 1561, 4356, 1614, 13, 32255, 11, 1521, 13918, 527, 3967, 439, 279, 36047, 350, 4918, 13, 578, 4330, 17355, 36332, 31276, 527, 2162, 311, 17715, 220, 5245, 11, 931, 1274, 4332, 4315, 1690, 2678, 25861, 323, 279, 47967, 13, 578, 810, 18561, 5789, 11, 1778, 439, 16333, 5065, 11, 8283, 11, 14821, 323, 4892, 69859, 93988, 11, 527, 1405, 1455, 315, 279, 5654, 596, 7187, 6439, 382, 567, 7817, 198, 26287, 10913, 20355, 706, 459, 37492, 315, 82088, 323, 100014, 11, 304, 5369, 311, 1202, 13042, 20057, 13, 578, 5654, 374, 10213, 16700, 788, 439, 433, 374, 7559, 304, 279, 18671, 961, 315, 279, 99027, 19149, 2134, 13, 2684, 527, 2478, 3544, 9919, 304, 4892, 10913, 20355, 11, 1455, 315, 1202, 7187, 3974, 304, 9333, 66841, 82, 477, 6424, 18143, 320, 8539, 7607, 1990, 220, 20, 11, 931, 12, 868, 11, 931, 8, 1109, 304, 3544, 9919, 627, 2028, 5654, 374, 1101, 279, 1614, 323, 5426, 7808, 304, 279, 5788, 315, 5933, 6962, 439, 433, 23874, 389, 264, 3544, 6962, 16946, 11, 961, 315, 279, 2947, 5997, 355, 1443, 1604, 382, 567, 93988, 323, 9919, 271, 14711, 93988, 198, 26287, 10913, 20355, 17610, 315, 220, 717, 31276, 627, 644, 84398, 2015, 1884, 31276, 527, 512, 12, 60929, 198, 12, 14821, 198, 12, 8283, 198, 12, 19326, 198, 12, 16333, 5065, 198, 12, 9995, 414, 198, 12, 4892, 69859, 198, 12, 30427, 198, 12, 43089, 198, 12, 54231, 198, 12, 23126, 14361, 198, 12, 9323, 1432, 14711, 38373, 198, 43, 33481, 9919, 3196, 389, 7187, 320, 5479, 220, 20, 997, 91, 4409, 692, 765, 40629, 765, 6406, 256, 9432, 91, 97903, 765, 44889, 765, 57236, 9432, 91, 3314, 9304, 765, 220, 2983, 11, 10718, 257, 765, 14821, 256, 9432, 91, 10785, 12841, 94420, 265, 220, 765, 220, 1272, 11, 19423, 257, 765, 82739, 68495, 220, 9432, 91, 13926, 403, 220, 765, 220, 1682, 11, 12166, 257, 765, 16333, 5065, 9432, 91, 32595, 15989, 415, 765, 220, 914, 11, 13679, 257, 765, 82739, 68495, 220, 9432, 91, 40491, 7085, 10481, 262, 765, 220, 1114, 11, 23411, 257, 765, 19326, 765, 1432, 567, 11930, 198, 3947, 527, 264, 2860, 315, 220, 4578, 586, 2978, 27536, 304, 420, 3158, 11, 304, 902, 527, 220, 4278, 1579, 8853, 11, 220, 10288, 6278, 8853, 323, 220, 14777, 36256, 8853, 382, 14711, 75898, 198, 12, 40491, 7085, 10481, 3907, 315, 20355, 198, 12, 27156, 49565, 3907, 198, 12, 16076, 42714, 3907, 315, 20355, 198, 12, 16333, 5065, 9304, 198, 12, 44235, 2630, 3907, 315, 20355, 198, 12, 20355, 9304, 315, 12053, 198, 12, 20355, 3314, 3907, 271, 17205, 23978, 304, 433, 278, 1233, 271, 567, 18707, 198, 26287, 10913, 20355, 706, 912, 3682, 10034, 65003, 13, 4452, 11, 20355, 3314, 3907, 374, 7559, 304, 14821, 6406, 13, 1666, 961, 315, 279, 6295, 18165, 15217, 279, 3907, 706, 264, 11191, 29703, 34477, 389, 420, 5654, 11, 304, 3878, 315, 36027, 4455, 323, 29135, 382, 14711, 11842, 66681, 6721, 10034, 198, 12, 13926, 403, 11511, 10453, 5153, 11579, 6830, 22325, 315, 279, 19895, 84086, 198, 12, 3314, 9304, 3165, 12732, 11579, 6830, 22325, 315, 279, 800, 13, 12140, 44427, 1432, 14711, 15013, 9130, 4435, 11378, 198, 644, 6287, 1475, 7474, 11, 4987, 13926, 403, 10187, 279, 15013, 9130, 4435, 11378, 13, 10180, 832, 7895, 4311, 323, 872, 3070, 3697, 505, 2212, 279, 3224, 323, 1917, 2586, 311, 20874, 323, 9618, 349, 13, 578, 3363, 57358, 9214, 315, 15613, 2391, 420, 4261, 315, 892, 13, 578, 3953, 527, 43087, 389, 27290, 15603, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 15219, 71, 582, 198, 17117, 71, 582, 320, 44297, 71722, 25, 510, 96295, 587, 60, 90900, 26, 20522, 13145, 25, 8560, 71, 582, 8, 374, 264, 79245, 304, 279, 362, 799, 9476, 304, 18561, 9822, 382, 567, 40629, 198, 91, 9941, 692, 765, 10466, 13, 765, 20903, 4, 281, 5973, 13, 9432, 91, 97903, 765, 11556, 765, 61258, 9432, 91, 220, 5162, 23, 692, 765, 220, 21125, 220, 765, 2001, 996, 9432, 91, 220, 4468, 20, 692, 765, 220, 13074, 220, 765, 25173, 16, 13, 4331, 4, 220, 9432, 91, 220, 3753, 17, 692, 765, 220, 17112, 220, 765, 25173, 16, 13, 2614, 4, 220, 9432, 91, 220, 2550, 15, 692, 765, 220, 12226, 220, 765, 25173, 16, 13, 2495, 4, 220, 9432, 91, 220, 2550, 24, 692, 765, 220, 18017, 220, 765, 489, 17, 13, 2318, 4, 220, 9432, 91, 220, 1049, 24, 692, 765, 220, 20325, 220, 765, 489, 17, 13, 1721, 4, 220, 9432, 91, 220, 679, 19, 692, 765, 220, 17252, 220, 765, 489, 18, 13, 605, 4, 220, 9432, 91, 220, 2366, 15, 692, 765, 220, 23411, 220, 765, 489, 16, 13, 3391, 4, 220, 9432, 91, 8922, 25, 2006, 49840, 765, 415, 765, 260, 765, 1432, 567, 19758, 1385, 198, 37220, 4846, 17352, 11, 480, 14081, 569, 5124, 344, 37489, 11, 574, 264, 9322, 304, 279, 8753, 13621, 6355, 315, 220, 1049, 22, 719, 5675, 279, 6355, 627, 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 ]

[ 128000, 2, 5165, 9323, 315, 7573, 11, 15347, 11, 323, 61855, 96880, 348, 1708, 20176, 34179, 12604, 198, 31912, 9323, 315, 7573, 11, 15347, 11, 323, 61855, 96880, 348, 1708, 20176, 34179, 12604, 510, 4468, 24, 60, 358, 9150, 220, 5833, 374, 264, 6560, 23791, 2383, 1162, 11, 18815, 22498, 55309, 382, 567, 46083, 198, 2149, 20176, 34179, 12604, 574, 264, 4562, 315, 264, 8013, 17293, 25812, 15360, 902, 51578, 3878, 323, 4787, 369, 7487, 4028, 279, 5064, 13, 578, 5165, 9323, 315, 7573, 11, 15347, 11, 323, 61855, 96880, 10711, 430, 7969, 1555, 279, 22498, 9306, 1051, 539, 1694, 13468, 13, 1708, 20176, 34179, 12604, 4934, 311, 1304, 1063, 8420, 48832, 13, 578, 8420, 433, 1047, 4183, 1047, 1120, 3719, 11552, 3697, 382, 567, 89662, 198, 52182, 9973, 1251, 29433, 5762, 430, 422, 264, 11552, 1047, 1027, 39764, 11, 1524, 3582, 1708, 20176, 34179, 12604, 1047, 2646, 27023, 449, 279, 11552, 1603, 11, 1243, 433, 1288, 617, 13468, 279, 45530, 10537, 369, 11850, 37673, 32737, 13, 1442, 1070, 574, 912, 39764, 11552, 11, 279, 19683, 374, 1234, 912, 29672, 13, 48698, 7612, 6929, 430, 374, 3451, 82, 27781, 398, 2867, 323, 12742, 24535, 29524, 31047, 264, 11552, 4033, 922, 264, 6661, 374, 539, 18479, 28137, 315, 18324, 11, 323, 16632, 45391, 22498, 55309, 4819, 304, 10652, 374, 539, 3403, 13, 75311, 7246, 374, 4460, 627, 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 ]

[ 128000, 2, 350, 2227, 78, 33718, 198, 51, 2227, 78, 33718, 320, 16381, 220, 1313, 3297, 220, 4468, 22, 8, 374, 459, 54423, 1122, 6721, 3831, 1543, 43940, 323, 5912, 11751, 519, 311, 279, 4435, 596, 27191, 478, 2418, 10937, 13, 1283, 574, 264, 98491, 11, 25270, 4871, 279, 1948, 5899, 11, 304, 3116, 24871, 1667, 505, 220, 1049, 20, 311, 220, 1049, 23, 382, 567, 27191, 1543, 7076, 198, 44, 1468, 574, 220, 508, 994, 568, 3940, 4967, 323, 27260, 304, 3831, 1543, 43682, 323, 2949, 220, 17, 1667, 1047, 2834, 813, 5426, 59284, 13, 3296, 220, 1049, 20, 568, 1047, 3719, 39764, 439, 832, 315, 279, 1917, 596, 6522, 28650, 449, 59136, 34136, 304, 279, 4435, 27191, 1543, 11098, 12765, 15870, 13, 1283, 574, 18719, 311, 279, 4435, 596, 27191, 478, 2418, 41402, 323, 1903, 279, 1620, 304, 220, 1049, 20, 13, 18185, 1694, 304, 279, 468, 9691, 1620, 389, 3116, 24871, 25975, 505, 220, 1049, 20, 311, 220, 1049, 23, 11, 568, 1550, 539, 1304, 279, 6041, 1584, 5352, 369, 279, 220, 1049, 24, 1567, 11, 4619, 1694, 2728, 279, 1176, 21137, 7858, 13, 1283, 14921, 420, 439, 813, 8706, 41698, 24797, 4967, 439, 264, 3831, 1543, 13, 763, 279, 220, 1049, 22, 1620, 568, 63108, 813, 293, 75669, 323, 420, 6197, 311, 813, 56766, 2035, 11, 8051, 568, 574, 2103, 304, 279, 1620, 627, 51, 2227, 78, 2834, 6566, 220, 18, 315, 279, 25950, 37, 4435, 11098, 5762, 304, 386, 89492, 11, 70606, 389, 6250, 220, 605, 11, 220, 679, 16, 13, 350, 2227, 78, 1101, 2834, 279, 54423, 1122, 78641, 84, 27191, 1543, 5377, 389, 6841, 220, 1544, 11, 220, 679, 15, 627, 1548, 374, 279, 7126, 315, 21102, 54423, 1122, 19794, 2851, 44312, 33718, 382, 567, 19758, 7576, 198, 12, 20685, 266, 1389, 220, 9588, 4194, 7501, 320, 21469, 4194, 21807, 340, 12, 36358, 3577, 1389, 220, 11057, 4194, 7501, 320, 19447, 4194, 21807, 340, 12, 15371, 36069, 1389, 220, 16596, 4194, 7501, 320, 25809, 4194, 21807, 340, 12, 735, 797, 26251, 1389, 220, 868, 4194, 7501, 320, 1644, 4194, 21807, 8, 865, 220, 20, 2004, 5981, 927, 220, 21, 13, 410, 37356, 320, 777, 4194, 728, 220, 23, 115235, 8, 304, 220, 2148, 13, 2946, 6622, 320, 1049, 23, 27191, 1543, 7445, 11378, 24067, 10517, 44394, 8, 320, 10343, 13896, 6758, 20, 933, 12, 35236, 1590, 315, 94634, 320, 39, 3035, 2482, 3412, 8, 1389, 220, 1049, 4194, 7501, 320, 18495, 4194, 21807, 8, 304, 1855, 1450, 369, 220, 6028, 13, 717, 6622, 320, 1049, 20, 4435, 596, 27191, 478, 2418, 8, 320, 35627, 1917, 3335, 340, 12, 7572, 3344, 3258, 1389, 220, 1041, 4194, 7501, 320, 8610, 4194, 21807, 8, 49499, 4047, 6920, 369, 220, 508, 76, 3388, 323, 220, 14206, 4194, 7501, 320, 2636, 4194, 21807, 8, 95512, 11161, 369, 220, 508, 76, 3388, 304, 220, 1627, 13, 868, 6622, 320, 1049, 21, 4435, 596, 27191, 478, 2418, 11, 1912, 220, 19, 8, 320, 10343, 13896, 6758, 21, 2595, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 101945, 354, 969, 198, 104907, 354, 969, 320, 32845, 13464, 95805, 416, 25, 101690, 13337, 22911, 8, 374, 264, 88264, 40853, 627, 1966, 5651, 220, 1627, 14, 1544, 11, 220, 6393, 16, 11, 549, 21127, 58067, 23980, 3201, 220, 5894, 8409, 1302, 315, 279, 8689, 315, 101945, 587, 6217, 11, 101945, 354, 969, 11, 10044, 228, 269, 75, 26261, 323, 16852, 360, 73, 505, 279, 33889, 315, 12639, 73, 3141, 53191, 323, 735, 9700, 560, 627, 2181, 1253, 8464, 311, 512, 12, 1901, 3696, 402, 9509, 101945, 354, 969, 320, 16381, 220, 7285, 18, 705, 88264, 4632, 323, 12707, 7690, 323, 4264, 18688, 198, 12, 29988, 5169, 328, 6321, 7886, 12, 104907, 354, 969, 320, 16381, 220, 4468, 16, 705, 88264, 282, 20099, 271, 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 ]

[ 128000, 2, 89625, 71777, 198, 791, 89625, 71777, 374, 459, 3778, 82082, 7091, 7200, 11, 14454, 555, 38897, 80873, 13827, 3059, 5888, 323, 19036, 8560, 582, 5169, 304, 220, 679, 16, 323, 3196, 304, 9853, 12167, 13, 578, 7200, 58273, 279, 74089, 11, 279, 89937, 11, 279, 55957, 11, 29950, 41785, 613, 11, 3235, 449, 19833, 7091, 323, 20884, 7091, 439, 34453, 382, 567, 11346, 198, 44, 599, 292, 71777, 574, 18538, 304, 220, 679, 16, 1234, 279, 836, 5348, 1897, 295, 71777, 555, 4885, 38897, 80873, 13827, 3059, 5888, 11, 11824, 11730, 285, 323, 19036, 8560, 582, 5169, 994, 814, 3940, 2133, 311, 5039, 3871, 304, 279, 9853, 12167, 3158, 13, 578, 2380, 3010, 2322, 51075, 800, 2469, 56936, 323, 27524, 480, 472, 2234, 1306, 264, 1501, 304, 56750, 13, 220, 578, 7200, 2231, 1202, 17755, 659, 2442, 15621, 3335, 704, 304, 220, 679, 18, 323, 8738, 30240, 23354, 304, 279, 16642, 7188, 4731, 6237, 11, 902, 6197, 311, 89625, 71777, 8736, 369, 279, 6498, 7091, 7200, 279, 89937, 13, 10995, 2851, 323, 1080, 36927, 315, 80237, 80482, 22293, 34881, 36970, 33555, 3916, 9778, 11096, 279, 7200, 323, 814, 18661, 24151, 304, 9853, 12167, 323, 22917, 11, 5423, 304, 279, 19833, 7091, 323, 82082, 57105, 16451, 627, 644, 220, 679, 19, 11, 279, 7200, 11136, 872, 51498, 8176, 11, 43286, 10951, 11, 902, 574, 6004, 389, 80237, 80482, 22293, 13, 5348, 1897, 295, 71777, 1051, 1243, 42184, 555, 21820, 88, 6634, 4923, 57504, 6634, 596, 4846, 69046, 11, 33652, 798, 3344, 1039, 68, 11, 889, 706, 264, 7200, 2663, 5348, 5447, 11, 6522, 1124, 311, 312, 13781, 5694, 439, 279, 89625, 36824, 11777, 11, 1306, 832, 315, 872, 6931, 11936, 11, 311, 9778, 52945, 389, 264, 6651, 315, 279, 1403, 5144, 11, 89625, 71777, 13, 578, 7200, 14333, 6625, 2450, 449, 279, 4984, 315, 43286, 10951, 11, 323, 91713, 279, 2326, 323, 4606, 3892, 3115, 927, 279, 1828, 1403, 1667, 627, 644, 220, 679, 20, 11, 279, 7200, 596, 4948, 4984, 11, 21882, 315, 816, 478, 727, 686, 11, 574, 9124, 555, 4997, 8215, 857, 6985, 304, 813, 38906, 5657, 14356, 627, 644, 220, 679, 23, 11, 279, 7200, 6004, 578, 8681, 22435, 11, 9124, 555, 31359, 52627, 847, 88, 520, 813, 14356, 304, 7054, 19934, 41560, 11, 7188, 323, 520, 80237, 80482, 22293, 6, 502, 14356, 14, 87304, 304, 6460, 9853, 12167, 627, 644, 220, 2366, 17, 11, 872, 18172, 8176, 11, 16867, 4740, 6200, 363, 11, 574, 6004, 382, 567, 11997, 5814, 271, 14711, 87823, 198, 91, 220, 765, 89625, 71777, 415, 765, 2876, 1952, 9587, 504, 765, 445, 48362, 11515, 765, 220, 679, 18, 9432, 91, 220, 765, 43286, 10951, 415, 765, 80237, 80482, 22293, 11, 52871, 22293, 765, 445, 48362, 18807, 765, 220, 679, 19, 9432, 91, 220, 765, 21882, 315, 816, 478, 727, 686, 765, 80237, 80482, 22293, 338, 765, 445, 48362, 6550, 765, 220, 679, 20, 9432, 91, 220, 765, 578, 8681, 22435, 220, 765, 80237, 80482, 22293, 338, 765, 445, 48362, 15231, 765, 220, 679, 23, 9432, 91, 220, 765, 16867, 4740, 6200, 363, 220, 765, 792, 765, 17540, 415, 765, 220, 2366, 17, 765, 1432, 14711, 47422, 323, 19613, 82, 198, 91, 220, 765, 330, 5618, 6914, 2206, 14521, 1, 504, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 18, 9432, 91, 220, 765, 330, 47, 53377, 426, 19256, 4072, 11730, 1, 3909, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 24, 9432, 91, 220, 765, 330, 40, 3053, 956, 47660, 5250, 14576, 389, 264, 45805, 9119, 1, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 24, 9432, 91, 220, 765, 330, 2181, 596, 480, 13767, 2893, 19122, 1, 504, 765, 80237, 80482, 22293, 765, 7000, 765, 220, 679, 24, 765, 1432, 14711, 71181, 28785, 198, 91, 89625, 71777, 611, 43286, 10951, 320, 34, 395, 11, 13620, 8, 765, 80237, 80482, 22293, 765, 445, 48362, 11515, 765, 22435, 765, 1432, 567, 17384, 271, 14711, 9303, 198, 12, 38897, 80873, 55934, 3059, 5888, 1389, 3063, 47196, 11, 17418, 11, 320, 679, 16, 4235, 29844, 340, 12, 51075, 800, 2469, 55485, 1389, 17418, 11, 25695, 47196, 320, 679, 16, 4235, 29844, 340, 12, 34881, 36970, 33555, 3916, 1389, 22253, 11, 2942, 11, 17418, 11, 47196, 11, 17834, 414, 483, 320, 679, 18, 4235, 29844, 3707, 14711, 33600, 198, 12, 27524, 480, 472, 2234, 1389, 47389, 11, 84849, 11, 31591, 320, 679, 17, 4235, 2366, 15, 340, 12, 19036, 8560, 582, 5169, 1389, 96665, 3554, 52066, 320, 679, 16, 4235, 679, 24, 26, 15902, 340, 12, 11824, 11730, 285, 1389, 47389, 320, 679, 16, 4235, 679, 17, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 5348, 82328, 198, 14755, 82328, 374, 459, 3778, 13076, 9501, 7200, 14454, 555, 7447, 3502, 20039, 54172, 7957, 74447, 546, 770, 304, 220, 679, 23, 13, 20817, 304, 23640, 4409, 11, 279, 7200, 3940, 704, 439, 74447, 546, 770, 596, 13839, 2447, 1603, 24050, 1139, 264, 3116, 56964, 7200, 13, 5348, 82328, 6004, 1202, 17755, 8176, 11, 11166, 1791, 2617, 17952, 11, 4669, 220, 508, 27156, 41785, 2440, 304, 220, 2366, 15, 382, 567, 11346, 198, 29184, 74447, 546, 770, 3940, 5348, 82328, 304, 220, 679, 23, 11, 449, 279, 17074, 3839, 330, 65454, 82, 31886, 7935, 1, 1694, 279, 1176, 5609, 5439, 369, 279, 2447, 13, 578, 3116, 77740, 659, 2442, 15621, 17074, 17401, 574, 5439, 304, 264, 2305, 26, 2768, 279, 4984, 315, 279, 17401, 11, 74447, 546, 770, 35105, 264, 3974, 7200, 311, 2804, 520, 264, 2380, 30609, 7364, 13, 578, 14975, 369, 279, 7200, 596, 17755, 8176, 11, 11166, 1791, 2617, 17952, 11, 3940, 5246, 1306, 279, 4984, 315, 279, 17401, 25, 279, 14975, 1920, 315, 279, 3335, 3952, 264, 1060, 323, 264, 4376, 323, 74447, 546, 770, 10887, 682, 315, 279, 24198, 389, 279, 8176, 13, 578, 3335, 574, 9124, 555, 95141, 29306, 13, 23548, 279, 3335, 596, 9954, 11, 5348, 82328, 8667, 311, 279, 2440, 220, 508, 27156, 41785, 11, 902, 6004, 279, 3335, 389, 6250, 220, 19, 11, 220, 2366, 15, 627, 644, 6790, 220, 2366, 16, 11, 5348, 82328, 7376, 279, 51498, 3335, 11, 14285, 3998, 50831, 11, 323, 6004, 279, 4731, 2835, 369, 279, 330, 50817, 306, 28901, 953, 1210, 12220, 420, 892, 11, 279, 7200, 6244, 264, 2380, 6710, 13, 763, 5651, 220, 2366, 17, 11, 279, 2447, 6004, 279, 3254, 330, 86752, 304, 12334, 1, 505, 279, 3335, 13, 1952, 5887, 220, 22, 11, 220, 2366, 17, 11, 10315, 8080, 85170, 279, 2132, 3254, 505, 279, 3335, 11, 330, 21364, 4150, 953, 1359, 439, 1664, 1202, 24442, 4731, 2835, 13, 88365, 323, 46036, 555, 95141, 29306, 11, 279, 3335, 574, 6004, 389, 5887, 220, 1682, 11, 220, 2366, 17, 4669, 220, 508, 27156, 41785, 627, 644, 220, 2366, 18, 11, 279, 7200, 17626, 1139, 264, 3116, 56964, 449, 279, 28286, 315, 69046, 44328, 3320, 37645, 13, 1952, 6664, 220, 1544, 11, 220, 2366, 18, 11, 279, 7200, 6004, 279, 3254, 11, 330, 32578, 2266, 567, 57357, 1742, 198, 14755, 82328, 596, 18273, 1742, 706, 1027, 7633, 439, 13076, 9501, 13, 578, 14242, 389, 11166, 1791, 2617, 17952, 574, 7863, 311, 279, 4375, 315, 38166, 55692, 452, 6341, 323, 4359, 69, 17927, 11, 449, 2563, 370, 655, 33780, 5181, 4194, 38096, 292, 21414, 75951, 23524, 279, 3335, 439, 330, 64, 33689, 3187, 315, 5292, 35534, 323, 85684, 4359, 69, 17927, 24863, 1210, 10771, 311, 30534, 40623, 315, 2360, 9785, 11070, 287, 11, 279, 7200, 27741, 505, 4359, 69, 17927, 323, 2206, 589, 1982, 36922, 11, 439, 1664, 439, 469, 30042, 10578, 315, 38166, 55692, 452, 6341, 11, 20214, 11, 323, 95324, 96633, 13, 578, 7200, 596, 1023, 34453, 2997, 30505, 304, 82869, 323, 220, 2550, 15, 82, 43162, 7477, 382, 567, 17384, 198, 12, 7957, 74447, 546, 770, 1389, 47196, 11, 24198, 320, 679, 23, 4235, 29844, 340, 12, 26775, 818, 3320, 29158, 1389, 17418, 320, 2366, 17, 4235, 29844, 340, 12, 16645, 480, 63975, 1389, 52389, 3213, 11, 47196, 320, 2366, 17, 4235, 29844, 340, 12, 44328, 3320, 37645, 1389, 47389, 320, 2366, 18, 4235, 29844, 3707, 567, 11997, 5814, 198, 32477, 28785, 198, 12, 11166, 1791, 2617, 17952, 320, 2366, 15, 340, 12, 14285, 3998, 50831, 320, 2366, 17, 696, 9377, 82, 198, 12, 5348, 82328, 320, 679, 23, 696, 50, 50703, 198, 12, 330, 12792, 2617, 20849, 1, 320, 2366, 15, 340, 12, 330, 47, 359, 16409, 5135, 1, 320, 2366, 15, 340, 12, 330, 39, 797, 7439, 1, 320, 2366, 15, 340, 12, 330, 86752, 304, 12334, 1, 320, 2366, 17, 340, 12, 330, 21364, 4150, 953, 1, 320, 2366, 17, 340, 12, 330, 32578, 1, 320, 2366, 18, 696, 25099, 6946, 198, 12, 330, 65454, 82, 31886, 7935, 1, 320, 679, 23, 340, 12, 330, 12792, 2617, 20849, 1, 320, 2366, 15, 340, 12, 330, 50817, 306, 28901, 953, 1, 320, 2366, 16, 340, 12, 330, 86752, 304, 12334, 1, 320, 2366, 17, 340, 12, 330, 21364, 4150, 953, 1, 320, 2366, 17, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 5629, 3475, 198, 5451, 3475, 374, 264, 18884, 11775, 555, 29988, 6347, 50930, 11, 279, 1176, 2363, 304, 279, 4101, 82219, 315, 279, 15344, 13, 1102, 3649, 279, 1176, 1060, 315, 28263, 329, 894, 315, 23754, 77200, 596, 4967, 439, 264, 2199, 315, 56927, 543, 382, 567, 27124, 17219, 198, 12705, 1279, 315, 279, 15344, 374, 743, 304, 279, 56927, 543, 276, 1917, 315, 50930, 596, 1054, 34139, 315, 279, 33199, 434, 863, 323, 1054, 791, 15695, 371, 1147, 863, 4101, 14, 2118, 791, 15695, 371, 1147, 863, 6, 41376, 1441, 13, 578, 46684, 374, 28263, 329, 894, 315, 23754, 77200, 11, 264, 3995, 3828, 889, 9221, 279, 1176, 8954, 311, 5542, 439, 264, 47709, 11, 5899, 1667, 1306, 24150, 315, 2140, 978, 33954, 287, 24150, 1176, 14610, 433, 5897, 13, 578, 11775, 14242, 279, 1176, 1060, 315, 28263, 329, 894, 596, 4967, 11, 2391, 902, 1364, 374, 1193, 11928, 389, 264, 47027, 661, 8197, 13, 28263, 329, 894, 2011, 14993, 311, 12391, 11937, 28390, 311, 44439, 4967, 7491, 24100, 509, 263, 315, 52166, 543, 323, 1077, 12637, 2199, 5542, 5633, 382, 567, 27124, 12399, 198, 644, 420, 2363, 11, 28263, 329, 894, 315, 23754, 77200, 11, 3967, 439, 28263, 11, 12580, 264, 11292, 1060, 8469, 311, 3719, 264, 2199, 994, 10425, 24100, 509, 263, 706, 2231, 1077, 389, 47027, 13, 3005, 14035, 264, 1648, 311, 37586, 449, 1694, 304, 47027, 323, 4560, 311, 4287, 1077, 323, 4585, 11937, 779, 10425, 24100, 509, 263, 690, 29251, 627, 791, 1176, 82219, 315, 279, 15344, 2363, 10975, 315, 28263, 596, 4465, 311, 3719, 264, 1176, 1060, 2199, 889, 374, 11928, 323, 12020, 18813, 13, 6104, 279, 7016, 315, 56927, 543, 1253, 617, 1027, 5614, 311, 12617, 10026, 22526, 11, 279, 8903, 315, 16661, 1139, 264, 36342, 8762, 8106, 18911, 1690, 73635, 311, 279, 46684, 13, 28263, 374, 11928, 1139, 279, 30336, 2199, 2068, 13, 4452, 11, 1364, 374, 9277, 389, 47027, 369, 279, 1176, 1060, 13, 3005, 374, 9770, 311, 3568, 449, 305, 6795, 505, 1077, 682, 1474, 1604, 26081, 11, 2737, 92633, 5382, 4477, 389, 1077, 14620, 11, 279, 19814, 315, 1077, 64028, 11, 323, 21934, 505, 279, 4967, 7491, 13, 2052, 279, 1418, 11, 28263, 374, 279, 1176, 8954, 30447, 19969, 311, 3719, 264, 47709, 2949, 279, 9478, 13, 46982, 279, 11775, 11, 1070, 374, 279, 3596, 2922, 324, 10789, 3488, 315, 3508, 279, 4967, 7491, 690, 1095, 1077, 3136, 311, 5542, 13, 1115, 374, 1606, 568, 11, 1093, 1690, 11, 1587, 539, 4510, 430, 3278, 649, 6273, 3026, 304, 12896, 13, 6104, 682, 420, 374, 2133, 389, 11, 264, 6367, 4270, 5739, 37167, 1077, 449, 21258, 627, 4599, 28263, 374, 3794, 5644, 369, 1077, 1176, 1938, 315, 4967, 11, 1364, 21879, 459, 16907, 502, 8352, 25, 459, 17235, 1579, 4367, 40331, 323, 264, 421, 295, 11046, 369, 57463, 287, 13, 2468, 430, 892, 11, 279, 40331, 323, 264, 421, 295, 11046, 574, 653, 2715, 36270, 3734, 555, 1274, 315, 279, 5190, 6989, 13, 2468, 5209, 84028, 53268, 892, 11, 1364, 1101, 21879, 264, 8147, 43100, 1082, 293, 7828, 505, 264, 26454, 8352, 2427, 1553, 627, 85699, 329, 894, 374, 653, 1003, 3690, 315, 1694, 264, 5333, 13, 13538, 14836, 311, 279, 1176, 87117, 1306, 1077, 19163, 520, 5590, 11, 1364, 4442, 1139, 264, 8679, 11, 19301, 311, 11415, 4856, 1109, 10477, 1077, 17435, 13797, 13, 3005, 5415, 11, 330, 8100, 574, 264, 3828, 26, 1364, 1047, 4400, 311, 387, 51975, 315, 11, 323, 814, 1047, 2731, 4048, 430, 1176, 3245, 1210, 3005, 270, 99696, 1077, 19689, 520, 279, 13305, 889, 62507, 1534, 1077, 3130, 4972, 311, 1077, 19163, 323, 14896, 311, 11415, 279, 2144, 430, 1364, 574, 264, 3828, 11, 323, 1364, 574, 264, 38490, 627, 85699, 329, 894, 55406, 17231, 552, 13, 4740, 44114, 430, 622, 24568, 315, 14637, 19149, 323, 813, 4885, 1051, 45647, 1176, 1060, 6959, 11, 1364, 711, 1142, 14135, 323, 3940, 3352, 16608, 279, 52473, 13, 3005, 1101, 28533, 279, 13305, 15716, 1364, 1766, 1124, 48389, 3885, 13, 4275, 33383, 11, 1101, 3967, 439, 66549, 311, 813, 4885, 320, 54228, 279, 24417, 2199, 304, 279, 3925, 315, 6959, 8, 9221, 1077, 1888, 4333, 439, 1664, 439, 1077, 25438, 13, 578, 1023, 1176, 4771, 6959, 27115, 4287, 28263, 320, 300, 1364, 374, 3967, 311, 1077, 4885, 323, 3070, 8, 439, 1364, 82060, 1124, 505, 279, 17231, 552, 382, 567, 25848, 2053, 198, 791, 4101, 374, 8272, 555, 5874, 320, 1049, 15, 705, 328, 999, 320, 1049, 16, 705, 323, 21270, 23844, 320, 1049, 17, 4390, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 80092, 331, 45447, 709, 336, 4749, 68, 198, 47, 1919, 331, 45447, 709, 336, 4749, 68, 374, 264, 9606, 315, 60981, 304, 279, 3070, 80092, 331, 21825, 114405, 627, 2181, 374, 1766, 304, 98792, 11, 11650, 5545, 315, 279, 54932, 11, 8560, 41978, 11, 52543, 90929, 11, 95104, 11, 323, 11000, 69894, 627, 37220, 5933, 71699, 527, 21147, 11427, 12930, 11, 42129, 51172, 477, 35148, 3280, 750, 14739, 477, 49886, 3428, 1974, 16763, 1974, 11, 323, 75568, 80744, 33096, 288, 627, 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 ]

[ 128000, 2, 3907, 5955, 369, 21023, 323, 279, 17979, 198, 791, 3907, 5955, 369, 21023, 323, 279, 17979, 320, 52, 95407, 8, 374, 264, 2536, 28926, 13042, 4219, 315, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 13, 578, 9266, 374, 1234, 279, 8410, 315, 279, 23270, 4900, 369, 11988, 8471, 13, 578, 549, 95407, 374, 5131, 67512, 520, 279, 393, 3202, 38571, 4871, 279, 393, 3202, 9304, 315, 31966, 24549, 627, 791, 549, 95407, 18939, 5370, 4455, 4871, 323, 4994, 279, 12374, 13, 1952, 6287, 220, 1682, 11, 220, 679, 19, 11, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 1555, 549, 95407, 91670, 279, 364, 47, 3042, 598, 526, 5277, 9265, 17030, 48869, 309, 44957, 6, 10292, 311, 73645, 362, 359, 269, 304, 279, 393, 3202, 38571, 13, 578, 549, 95407, 1101, 41963, 36910, 279, 9974, 12374, 17979, 19961, 1475, 7552, 382, 567, 11346, 198, 33, 3178, 83582, 328, 5859, 11, 264, 8792, 13042, 2547, 11, 574, 17057, 304, 220, 4468, 19, 13, 9636, 279, 13042, 2547, 1051, 2204, 13042, 5315, 25, 63715, 3042, 12825, 352, 11, 21058, 343, 445, 52206, 320, 64, 22291, 523, 10020, 1912, 705, 20287, 647, 21058, 343, 11, 426, 10018, 735, 14075, 276, 11, 432, 2159, 21575, 11, 59129, 17366, 11, 323, 279, 393, 3791, 30704, 350, 38815, 13, 578, 7471, 315, 70950, 83582, 328, 5859, 3940, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 627, 791, 41333, 11050, 8410, 320, 34, 5989, 8, 574, 5343, 304, 279, 12374, 6070, 2391, 279, 3907, 1050, 24844, 9878, 304, 220, 4468, 21, 13, 578, 9886, 315, 356, 5989, 3063, 311, 279, 5216, 315, 13042, 7620, 505, 264, 16287, 12374, 5089, 13, 3075, 1924, 323, 7620, 1051, 4613, 304, 279, 9886, 315, 279, 5274, 627, 2409, 279, 67599, 315, 279, 3907, 4900, 596, 8410, 7365, 2360, 13, 220, 21, 11, 274, 13, 220, 3753, 15, 11, 279, 41333, 11050, 8410, 574, 28379, 311, 8410, 279, 3907, 5955, 369, 41333, 23298, 320, 52, 95407, 8, 389, 6664, 220, 16, 11, 220, 3753, 15, 13, 1102, 574, 304, 220, 3753, 22, 430, 5274, 574, 28379, 311, 3907, 5955, 369, 21023, 323, 279, 17979, 2391, 279, 312, 24844, 3197, 13, 34496, 13042, 5315, 1051, 1101, 3779, 1234, 549, 95407, 2391, 430, 892, 13, 8876, 1243, 11, 279, 5274, 617, 64238, 2204, 93990, 323, 312, 24844, 927, 279, 3347, 1667, 382, 567, 41333, 5315, 198, 791, 3907, 5955, 369, 21023, 323, 279, 17979, 374, 24306, 315, 5370, 13042, 5315, 323, 11351, 58394, 389, 2204, 44948, 13, 578, 2768, 5315, 323, 11351, 527, 3697, 315, 279, 549, 95407, 627, 33, 3178, 83582, 328, 5859, 11, 34833, 3967, 439, 4673, 23306, 27430, 39049, 276, 11, 374, 279, 4033, 9302, 19071, 1912, 1234, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 11, 19294, 26522, 292, 3907, 315, 279, 26363, 13, 578, 1912, 617, 2834, 5370, 43682, 2737, 279, 220, 679, 19, 220, 18, 35, 8761, 19354, 14130, 17057, 555, 279, 6011, 315, 11847, 323, 18955, 16607, 198, 15000, 1065, 801, 374, 279, 4033, 7200, 315, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 11, 19294, 26522, 292, 3907, 315, 279, 26363, 76978, 315, 41534, 4236, 323, 12374, 13820, 627, 47308, 277, 747, 4657, 30704, 53204, 374, 279, 4033, 15612, 1912, 315, 279, 12374, 11, 16785, 52909, 2109, 14200, 3946, 13, 578, 1912, 22262, 311, 12192, 279, 26431, 315, 13042, 16785, 19071, 505, 8776, 311, 6617, 11639, 627, 47, 3202, 60424, 50, 11, 34833, 3967, 439, 393, 3202, 75670, 53204, 11, 374, 279, 4033, 13042, 37071, 6373, 1912, 315, 279, 12374, 627, 47, 3202, 20287, 647, 21058, 343, 6354, 17848, 460, 374, 279, 4033, 70356, 1604, 1912, 315, 279, 12374, 1234, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 627, 47, 3202, 328, 5859, 8288, 52206, 19294, 10200, 531, 683, 11, 1101, 3967, 439, 32740, 56, 75736, 11, 374, 279, 19504, 5575, 27803, 7471, 315, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 1234, 279, 3907, 5955, 369, 21023, 323, 279, 17979, 198, 47, 3202, 5340, 3444, 935, 3623, 2637, 34833, 3967, 439, 393, 3202, 432, 2159, 21575, 11, 374, 264, 925, 40126, 1234, 279, 19294, 26522, 292, 3907, 315, 279, 26363, 1389, 3907, 5955, 369, 21023, 323, 279, 17979, 627, 47, 3202, 1750, 41147, 10349, 477, 393, 3202, 596, 374, 74, 647, 14, 3267, 526, 13318, 18071, 9265, 374, 279, 4033, 24685, 7471, 315, 393, 3202, 3907, 5955, 369, 21023, 323, 279, 17979, 13, 1102, 1511, 311, 387, 3967, 439, 393, 3202, 445, 6960, 11064, 10349, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 7281, 3458, 40106, 8216, 320, 96925, 340, 28205, 3458, 40106, 8216, 574, 264, 40106, 8216, 13788, 7281, 3458, 11, 6460, 362, 11160, 15255, 11, 19627, 13, 578, 8216, 574, 13517, 961, 315, 279, 362, 11160, 323, 423, 7828, 616, 4910, 55556, 11, 6575, 323, 3010, 13234, 555, 279, 43997, 323, 4987, 11104, 55556, 4286, 567, 11346, 198, 791, 8216, 9107, 304, 220, 9378, 22, 11, 3515, 7882, 2212, 220, 3965, 37356, 320, 18518, 4194, 728, 8, 10007, 505, 279, 4113, 8216, 2816, 430, 1047, 9107, 389, 220, 22, 6287, 220, 9741, 21, 13, 578, 2132, 8216, 596, 2816, 574, 8036, 555, 279, 8013, 24720, 2336, 8925, 304, 220, 5162, 19, 627, 791, 8216, 1047, 264, 3254, 5452, 11, 264, 8450, 3830, 3221, 279, 5754, 927, 14024, 11, 264, 2478, 14414, 826, 323, 264, 11822, 25351, 13, 578, 5452, 706, 1027, 76993, 323, 264, 879, 51688, 374, 1457, 7559, 520, 279, 2816, 315, 279, 2362, 8216, 4857, 13, 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 ]

[ 128000, 2, 1229, 402, 309, 28447, 11, 735, 13279, 373, 71, 198, 48, 402, 309, 28447, 320, 59742, 1122, 25, 78803, 12942, 50488, 101558, 66498, 11, 1101, 13041, 1534, 439, 1229, 402, 31757, 76, 31757, 65, 31757, 67, 26, 1101, 3967, 439, 24855, 675, 309, 3765, 329, 36170, 13616, 11, 1229, 402, 31757, 76, 31757, 65, 31757, 67, 5773, 735, 30986, 31757, 75, 11, 323, 1229, 402, 31757, 76, 31757, 65, 31757, 67, 5773, 393, 31757, 529, 61711, 77, 8, 374, 264, 14458, 304, 36647, 4355, 58320, 11182, 11, 304, 279, 10913, 11182, 315, 735, 13279, 373, 71, 6406, 11, 435, 1590, 17271, 11, 10471, 13, 2468, 279, 220, 1049, 21, 44702, 11, 1202, 7187, 574, 220, 25890, 11, 304, 220, 13460, 8689, 627, 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 ]

[ 128000, 2, 73578, 911, 483, 51775, 648, 320, 5901, 369, 25379, 15255, 3707, 51290, 73578, 911, 483, 51775, 648, 26068, 320, 66, 13, 220, 11286, 19, 4235, 9892, 24, 8, 574, 264, 25537, 5420, 27202, 323, 4363, 8281, 505, 25379, 15255, 13, 1283, 15609, 430, 14189, 304, 20302, 304, 220, 10718, 19, 11, 18677, 311, 2254, 4363, 18637, 11, 323, 3952, 961, 304, 3892, 25981, 389, 279, 32843, 13, 1283, 323, 813, 22916, 10868, 10425, 4946, 1409, 1729, 1051, 14134, 520, 21448, 449, 10425, 8170, 265, 1065, 627, 47, 486, 911, 483, 574, 279, 2132, 4538, 315, 279, 11495, 21393, 276, 27202, 73578, 911, 483, 51775, 648, 11, 220, 1032, 339, 54007, 4946, 1409, 1729, 409, 469, 417, 1729, 13, 1283, 574, 16584, 311, 76834, 3771, 72, 9304, 11, 24562, 304, 220, 11068, 19, 13, 1283, 46368, 311, 9822, 304, 220, 11068, 24, 13, 3277, 813, 7126, 8636, 304, 220, 6330, 16, 11, 73578, 911, 483, 28088, 264, 893, 269, 304, 59792, 323, 279, 312, 4464, 315, 4946, 1409, 1729, 4783, 304, 7295, 13, 1283, 574, 16584, 311, 279, 12877, 19176, 304, 220, 6330, 20, 627, 644, 220, 10718, 15, 11, 51775, 648, 12457, 264, 2035, 439, 264, 46229, 315, 279, 6223, 88, 25199, 311, 19912, 18063, 11, 323, 574, 3549, 264, 23844, 315, 279, 19710, 389, 220, 17, 5651, 11, 994, 18063, 574, 29091, 439, 19912, 315, 23782, 13, 25929, 430, 1060, 11, 568, 21095, 264, 66407, 449, 10425, 8170, 265, 1065, 11, 459, 1558, 1430, 349, 9354, 315, 73578, 911, 483, 596, 10868, 10425, 4946, 1409, 1729, 11, 323, 304, 29774, 574, 14243, 28593, 304, 279, 17308, 13, 3296, 220, 10718, 16, 11, 2225, 20820, 1047, 3719, 9808, 304, 279, 24113, 13309, 627, 644, 220, 10718, 17, 11, 73578, 911, 483, 1047, 3719, 264, 4562, 315, 279, 13286, 8351, 11, 323, 4024, 22917, 311, 35914, 430, 1060, 369, 813, 2890, 13, 19912, 18063, 8636, 520, 279, 842, 315, 279, 1060, 11, 323, 304, 279, 4498, 315, 220, 10718, 18, 11, 73578, 911, 483, 4024, 22917, 1578, 323, 21095, 2500, 66407, 449, 10425, 8170, 265, 1065, 11, 1790, 311, 279, 85334, 4058, 315, 6342, 7957, 13, 763, 220, 10718, 19, 11, 568, 57310, 25379, 15255, 449, 279, 5590, 1291, 17177, 11355, 3206, 942, 323, 574, 6052, 439, 1202, 27144, 47709, 315, 279, 559, 556, 311, 279, 2758, 839, 20302, 13, 2360, 3335, 315, 813, 5820, 1070, 706, 1027, 34683, 13, 3296, 279, 842, 315, 279, 1060, 11, 568, 574, 16066, 505, 264, 11660, 17563, 323, 813, 4648, 574, 70468, 11, 8405, 10425, 8170, 265, 1065, 449, 459, 6776, 369, 58755, 13, 4452, 11, 814, 1051, 539, 1317, 24306, 11, 439, 814, 1051, 37965, 265, 2785, 1578, 555, 279, 42774, 315, 220, 10718, 20, 627, 47, 53733, 483, 6267, 311, 813, 10868, 8563, 505, 5590, 304, 220, 10718, 20, 45391, 10058, 16959, 4918, 304, 7505, 12565, 942, 596, 1514, 477, 9427, 593, 11, 44662, 650, 485, 10297, 505, 279, 1708, 2464, 1705, 520, 7301, 11, 1405, 2380, 3278, 9922, 304, 22999, 1651, 3946, 11, 889, 10791, 279, 6666, 315, 682, 11, 2737, 279, 11734, 13, 3700, 911, 483, 1071, 279, 12502, 3278, 520, 5590, 1051, 26435, 304, 3776, 627, 1383, 420, 892, 11, 73578, 911, 483, 1047, 12502, 38649, 320, 67, 13, 220, 10513, 17, 705, 279, 10003, 315, 17177, 40796, 16233, 1263, 1293, 11, 220, 16, 267, 54007, 295, 11, 555, 8884, 568, 1047, 2380, 26419, 11, 8563, 11, 73578, 911, 483, 11, 323, 40796, 11, 323, 2380, 30968, 11, 61289, 1171, 320, 70582, 8563, 67977, 89, 320, 67, 13, 220, 10680, 15, 5850, 71471, 11, 323, 21393, 320, 70582, 26184, 23229, 569, 570, 763, 220, 10718, 24, 11, 568, 6244, 264, 4562, 315, 279, 8339, 8351, 320, 276, 4879, 311, 15235, 553, 26340, 3444, 705, 323, 574, 21489, 264, 1847, 19393, 315, 31377, 2352, 568, 589, 13, 1283, 74771, 311, 5249, 279, 16337, 315, 279, 11165, 266, 3357, 6197, 555, 17177, 15083, 580, 69932, 304, 220, 10674, 15, 11, 719, 1550, 539, 3604, 733, 22917, 26, 304, 279, 2768, 1060, 11, 568, 574, 1903, 264, 12437, 315, 279, 9096, 369, 279, 27399, 315, 65379, 627, 33, 531, 648, 574, 21489, 264, 41443, 369, 1421, 355, 1821, 304, 25379, 15255, 304, 220, 10674, 19, 13, 1283, 323, 10425, 4946, 1409, 1729, 1578, 4024, 22917, 430, 1060, 311, 4465, 279, 15506, 304, 279, 26746, 13, 763, 279, 2768, 1060, 11, 568, 574, 44224, 264, 3682, 315, 4579, 11, 323, 574, 21489, 311, 5370, 54764, 369, 4363, 16048, 304, 25379, 15255, 320, 34564, 287, 45406, 323, 279, 11188, 41061, 8, 1418, 22917, 13, 1283, 574, 28520, 32230, 323, 21489, 264, 15235, 301, 315, 4579, 11, 65440, 264, 75541, 304, 279, 53057, 60208, 273, 409, 51223, 51264, 13, 1115, 574, 813, 1566, 4901, 26, 568, 27905, 6052, 311, 990, 389, 44585, 58592, 11, 902, 1053, 4546, 1461, 1139, 12324, 449, 279, 34342, 315, 469, 398, 13, 19332, 264, 3541, 16357, 315, 10406, 11, 25379, 15255, 304, 220, 9892, 19, 11, 568, 574, 21489, 264, 41443, 315, 2064, 598, 304, 220, 9892, 20, 11, 323, 8636, 315, 342, 412, 304, 220, 9892, 24, 13, 1283, 574, 28016, 389, 220, 1032, 6841, 520, 800, 85931, 304, 279, 25599, 627, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 8529, 7881, 34582, 8216, 198, 25763, 7881, 374, 264, 38269, 21631, 8216, 389, 279, 24024, 9046, 315, 1584, 220, 16, 13, 1102, 374, 7559, 220, 304, 279, 57918, 315, 30643, 84, 906, 6354, 1673, 8288, 3042, 531, 11, 304, 279, 24024, 961, 315, 38269, 11, 34061, 26, 832, 315, 279, 95679, 315, 279, 8216, 374, 6089, 24923, 279, 45340, 11166, 627, 791, 34582, 8216, 9107, 389, 220, 508, 6186, 220, 4468, 21, 13, 30070, 220, 3753, 17, 320, 9493, 279, 1584, 574, 11838, 311, 99572, 705, 433, 574, 279, 24024, 10415, 355, 315, 1584, 220, 16, 33, 13, 8876, 220, 19, 5936, 220, 1049, 24, 11, 279, 8216, 706, 1027, 10434, 555, 279, 24024, 9046, 315, 1584, 220, 16, 320, 1762, 18785, 1584, 220, 16, 33, 4390, 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 ]

[ 128000, 2, 75225, 315, 1472, 198, 51537, 28755, 315, 1472, 374, 459, 3778, 44578, 7091, 7200, 505, 1561, 4356, 4409, 13, 3459, 291, 304, 220, 1049, 19, 11, 279, 7200, 5131, 17610, 315, 4113, 19533, 96665, 32866, 1050, 14722, 11, 62740, 15466, 14583, 2715, 8233, 11, 323, 69046, 8096, 47790, 16438, 18022, 627, 7009, 617, 91713, 279, 2326, 11, 323, 279, 6560, 2225, 439, 264, 32263, 1180, 323, 304, 1862, 315, 1023, 13820, 2737, 362, 19991, 11, 15128, 4470, 16576, 11, 3005, 78578, 81649, 11, 16835, 1561, 11, 578, 320, 34746, 8, 51623, 98252, 11, 323, 42009, 936, 29878, 535, 13, 2435, 617, 8767, 1027, 39048, 369, 12232, 85, 52, 12404, 648, 23146, 369, 7252, 14986, 323, 7648, 8745, 291, 13, 763, 5936, 220, 1049, 21, 11, 814, 1051, 279, 26526, 315, 31789, 0, 10948, 596, 330, 15546, 596, 9479, 7673, 10937, 26, 3347, 26526, 2997, 3092, 36424, 52256, 11, 3623, 57654, 323, 34896, 4298, 11, 323, 473, 5863, 382, 567, 11346, 198, 94857, 1050, 14722, 574, 13517, 264, 4562, 315, 279, 1457, 711, 20526, 7200, 578, 83225, 22503, 11, 16662, 1510, 3697, 315, 16835, 1561, 26, 40271, 445, 57020, 11, 58716, 36332, 3520, 323, 17520, 27109, 13, 4740, 279, 7200, 85156, 5627, 11, 568, 6244, 279, 62740, 315, 578, 54385, 13327, 1643, 323, 1243, 9778, 14454, 75225, 315, 1472, 627, 791, 7200, 13517, 659, 5621, 4778, 872, 17755, 8176, 389, 872, 1866, 2440, 11, 578, 2893, 59270, 15255, 9587, 13, 2435, 16383, 433, 311, 6460, 4410, 22293, 304, 279, 2326, 323, 8797, 4212, 73692, 304, 279, 6560, 13, 14853, 17845, 11, 449, 24442, 4731, 6946, 11, 1051, 6004, 505, 279, 659, 2442, 15621, 8176, 13, 578, 17845, 5343, 330, 5159, 4076, 374, 81363, 498, 330, 791, 21882, 6122, 555, 8840, 2100, 39247, 1, 323, 330, 40, 24133, 311, 2893, 12649, 1142, 304, 4718, 6984, 17884, 3343, 220, 2052, 2380, 6946, 1051, 15109, 389, 279, 74615, 6007, 5039, 24565, 596, 15448, 15621, 9305, 7073, 323, 87213, 30260, 13, 13596, 5609, 505, 279, 8176, 11, 330, 31765, 17952, 11, 358, 38747, 358, 40070, 1611, 2642, 498, 574, 1101, 15109, 304, 279, 39462, 13482, 2835, 1847, 11, 44742, 220, 2589, 627, 644, 279, 12531, 315, 220, 1049, 22, 578, 2893, 59270, 15255, 9587, 6859, 449, 6460, 4410, 22293, 13, 75225, 315, 1472, 1243, 659, 5621, 4778, 264, 4330, 77740, 19613, 11, 20458, 17343, 17581, 389, 6250, 220, 806, 11, 220, 1049, 22, 13, 2435, 91713, 304, 1862, 315, 279, 19613, 449, 264, 2010, 35981, 7364, 315, 279, 2326, 304, 3297, 323, 5651, 220, 1049, 23, 13, 2435, 1051, 7396, 555, 279, 44825, 11, 18343, 432, 4023, 11, 323, 74876, 21396, 627, 644, 220, 1049, 23, 11, 279, 7200, 45425, 69046, 8096, 47790, 16438, 18022, 320, 70614, 315, 57316, 16691, 705, 323, 6137, 4477, 369, 872, 1828, 14356, 8176, 13, 5843, 1712, 4333, 323, 26832, 6108, 39844, 32866, 48290, 11096, 279, 7200, 389, 22253, 304, 6790, 220, 1049, 23, 11, 25935, 4113, 22253, 380, 13960, 1283, 321, 11, 5737, 813, 1176, 1501, 449, 279, 1912, 389, 6790, 220, 1682, 11, 220, 1049, 23, 520, 279, 51363, 4418, 798, 304, 5843, 10951, 11, 12551, 13, 220, 578, 7200, 1243, 10862, 279, 14356, 304, 6186, 220, 1049, 24, 311, 3240, 14975, 872, 51498, 2539, 30425, 3335, 627, 791, 502, 8176, 11, 15268, 316, 5676, 582, 11, 574, 12715, 520, 279, 15852, 14355, 14975, 14356, 304, 279, 5745, 24755, 3857, 315, 1561, 4356, 4409, 304, 6186, 220, 1049, 24, 11, 1080, 84561, 555, 279, 7200, 323, 17520, 78024, 13, 220, 578, 3335, 574, 18307, 12715, 323, 34156, 304, 1120, 264, 5743, 315, 5672, 11, 449, 220, 845, 21925, 16079, 13, 220, 40741, 2835, 9013, 1051, 8621, 389, 279, 7200, 596, 3092, 10115, 2199, 6957, 279, 16079, 11, 10494, 7359, 304, 279, 6471, 13, 578, 502, 8176, 574, 8220, 20193, 46095, 11, 20458, 15268, 316, 5676, 582, 323, 574, 6004, 1555, 578, 2893, 59270, 15255, 9587, 389, 6287, 220, 19, 11, 220, 1049, 24, 13, 1952, 3297, 220, 972, 11, 220, 1049, 24, 41785, 14756, 6004, 264, 4232, 389, 872, 3997, 315, 264, 502, 5609, 20458, 330, 40, 21834, 358, 2846, 25531, 55025, 498, 902, 374, 279, 3063, 3839, 1022, 315, 15268, 316, 5676, 582, 627, 51537, 28755, 315, 1472, 3940, 48551, 1578, 304, 220, 1049, 24, 11, 9298, 279, 7200, 1176, 32263, 264, 6560, 7364, 304, 5936, 320, 4291, 1862, 555, 19895, 6108, 7200, 622, 10647, 2054, 279, 26099, 705, 8272, 6089, 555, 264, 1862, 9633, 389, 279, 1708, 36641, 483, 86095, 11628, 4798, 279, 6187, 7364, 304, 279, 3723, 4273, 13, 4740, 264, 2380, 30609, 1464, 11, 279, 7200, 1243, 743, 704, 389, 1202, 1866, 220, 21, 30609, 2326, 2010, 35981, 7364, 304, 5651, 14, 29527, 315, 364, 2545, 11, 9298, 279, 7200, 1514, 810, 1109, 220, 1758, 9919, 304, 50919, 315, 279, 502, 15268, 316, 5676, 582, 8176, 4984, 627, 1966, 6790, 220, 605, 11, 220, 1049, 24, 11, 520, 264, 23401, 520, 426, 24125, 783, 3907, 11, 1050, 14722, 7376, 430, 568, 1053, 387, 81573, 369, 15704, 8617, 25012, 279, 7200, 389, 459, 81956, 81286, 627, 1966, 3297, 220, 605, 11, 220, 679, 17, 11, 75225, 315, 1472, 6004, 264, 502, 5609, 20458, 330, 2729, 5046, 3092, 23754, 1, 389, 872, 3997, 627, 644, 5887, 11, 32866, 1050, 14722, 6004, 330, 36227, 4073, 362, 44730, 1, 389, 872, 3997, 382, 567, 17366, 3697, 198, 12, 32866, 1050, 14722, 482, 47196, 11, 60594, 320, 1049, 19, 4235, 21886, 340, 12, 15466, 14583, 2715, 8233, 482, 17418, 320, 1049, 19, 4235, 21886, 340, 12, 8096, 47790, 16438, 18022, 482, 47389, 320, 1049, 23, 4235, 21886, 3707, 567, 33600, 3697, 198, 12, 7302, 12233, 27625, 482, 22253, 320, 1049, 19, 340, 12, 33007, 8663, 70, 1565, 482, 47389, 320, 1049, 19, 4235, 1049, 23, 8, 320, 31945, 398, 315, 432, 4023, 31483, 11, 356, 3166, 323, 21396, 75092, 340, 12, 13960, 1283, 321, 482, 22253, 320, 1049, 20, 4235, 1049, 23, 340, 12, 32866, 48290, 482, 22253, 320, 1049, 23, 12, 1049, 24, 3707, 567, 11997, 5814, 271, 14711, 19074, 28785, 198, 12, 75225, 315, 1472, 320, 1049, 20, 11, 578, 2893, 59270, 15255, 9587, 340, 12, 15268, 316, 5676, 582, 320, 1049, 24, 11, 578, 2893, 59270, 15255, 9587, 3707, 14711, 41665, 11335, 198, 12, 75225, 315, 1472, 320, 1049, 20, 11, 6460, 4410, 340, 12, 17343, 0, 19613, 320, 1049, 22, 340, 12, 75225, 315, 1472, 7238, 11997, 54634, 320, 1049, 23, 11, 578, 2893, 59270, 15255, 9587, 340, 12, 426, 6354, 3422, 323, 4829, 437, 510, 1049, 19, 12, 1049, 23, 60, 320, 679, 17, 3707, 14711, 47422, 198, 12, 330, 5159, 4076, 374, 81363, 1, 320, 1049, 21, 340, 12, 330, 40, 24133, 311, 2893, 12649, 1142, 304, 4718, 6984, 17884, 1, 320, 1049, 21, 340, 12, 330, 791, 21882, 6122, 555, 8840, 2100, 39247, 1, 320, 1049, 21, 340, 12, 330, 40, 21834, 358, 2846, 25531, 55025, 1, 320, 1049, 24, 340, 12, 330, 2729, 315, 3092, 23754, 1, 320, 679, 17, 340, 12, 330, 36227, 4073, 362, 44730, 1, 320, 679, 17, 696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 1901, 12574, 7886, 198, 57, 43723, 477, 1901, 12574, 7886, 320, 32845, 13464, 95805, 416, 25, 53677, 61642, 119478, 8, 374, 264, 88264, 323, 100170, 40853, 430, 1253, 8464, 311, 512, 12, 23245, 1901, 12574, 7886, 320, 16381, 220, 2550, 19, 705, 100170, 293, 5598, 273, 634, 261, 198, 12, 480, 9431, 318, 1901, 12574, 7886, 320, 10005, 17, 4235, 10828, 23, 705, 88264, 46273, 92658, 198, 12, 42521, 1901, 43723, 320, 16381, 220, 4468, 23, 705, 13673, 9141, 2851, 198, 12, 45170, 1901, 12574, 7886, 320, 16381, 220, 3753, 21, 705, 13673, 12707, 34756, 11, 13219, 315, 42521, 323, 71099, 198, 12, 71099, 1901, 43723, 320, 16381, 220, 4468, 16, 705, 13673, 9141, 2851, 11, 10868, 315, 42521, 198, 12, 113098, 329, 1901, 12574, 7886, 320, 16381, 220, 6393, 21, 705, 88264, 28378, 271, 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 ]

[ 128000, 2, 14662, 3919, 21097, 942, 198, 1255, 14662, 3919, 8096, 21097, 942, 320, 16381, 220, 806, 6287, 220, 5162, 21, 8, 374, 264, 31209, 3429, 453, 39138, 1940, 1291, 323, 54618, 14284, 261, 382, 567, 13482, 7076, 198, 2170, 264, 3429, 19308, 39138, 1940, 1291, 320, 43, 54, 605, 538, 25, 11961, 11, 1370, 391, 1978, 689, 449, 912, 477, 1063, 8582, 57056, 734, 323, 912, 16003, 11961, 8335, 8, 568, 31408, 520, 279, 220, 2550, 23, 20704, 4366, 5893, 1331, 1233, 320, 55767, 264, 40907, 37712, 304, 73481, 8, 323, 520, 279, 220, 1049, 17, 20704, 4366, 5893, 1331, 1233, 320, 55767, 2380, 15310, 60082, 482, 304, 1776, 83128, 11, 14880, 1776, 83128, 323, 2307, 12279, 482, 323, 264, 40907, 37712, 304, 73481, 4390, 10438, 279, 220, 1049, 21, 20704, 4366, 5893, 1331, 1233, 11, 279, 4623, 574, 430, 14662, 3919, 1053, 842, 813, 453, 39138, 7076, 555, 11230, 264, 4366, 5893, 1331, 292, 6761, 11, 902, 568, 1550, 520, 1455, 315, 279, 4435, 79206, 13, 2030, 459, 11134, 430, 6197, 311, 264, 6129, 19405, 323, 513, 1725, 285, 2231, 459, 842, 311, 1521, 6787, 627, 6153, 1063, 1667, 2085, 10775, 11, 568, 3940, 54618, 14284, 287, 520, 220, 679, 18, 627, 2170, 264, 54618, 14284, 261, 568, 31408, 304, 279, 220, 679, 23, 20704, 4366, 5893, 1331, 1233, 1405, 31209, 2128, 8220, 389, 56766, 2035, 627, 1548, 574, 264, 31209, 5292, 70871, 520, 279, 220, 679, 23, 20704, 4366, 5893, 1331, 1233, 8736, 22260, 627, 644, 220, 1049, 19, 568, 1047, 264, 29804, 369, 279, 33767, 355, 4435, 18707, 2203, 1293, 315, 279, 9941, 449, 75368, 17768, 382, 567, 40713, 198, 91, 14598, 220, 765, 26869, 4391, 765, 21530, 394, 765, 10657, 1881, 765, 30982, 1835, 765, 75824, 286, 765, 28275, 1733, 765, 18093, 504, 9432, 91, 61258, 765, 14730, 16974, 765, 91881, 765, 14730, 765, 14730, 765, 14730, 765, 14730, 16974, 765, 14730, 23573, 9432, 91, 220, 679, 18, 4235, 975, 765, 622, 5164, 50432, 49565, 260, 765, 40208, 358, 40637, 268, 260, 765, 23860, 74, 735, 543, 258, 262, 765, 14662, 3919, 21097, 942, 262, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 19, 394, 9432, 91, 220, 679, 19, 4235, 868, 765, 23860, 74, 735, 543, 258, 692, 765, 27973, 2259, 549, 35103, 257, 765, 14662, 3919, 21097, 942, 262, 765, 1556, 6672, 93537, 256, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 20, 394, 9432, 91, 220, 679, 19, 4235, 868, 765, 622, 5164, 50432, 49565, 260, 765, 23860, 74, 735, 543, 258, 286, 765, 14662, 3919, 21097, 942, 262, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 68279, 386, 370, 2431, 82, 1881, 765, 468, 1671, 3791, 220, 679, 20, 320, 24, 339, 8, 692, 9432, 91, 220, 679, 20, 4235, 845, 765, 23860, 74, 735, 543, 258, 692, 765, 27973, 2259, 549, 35103, 257, 765, 14662, 3919, 21097, 942, 262, 765, 1901, 24155, 3402, 375, 257, 765, 480, 531, 9939, 1974, 31031, 220, 765, 61697, 426, 7053, 1078, 765, 468, 1671, 3791, 7826, 220, 679, 20, 1078, 9432, 91, 220, 679, 20, 4235, 845, 765, 14662, 3919, 21097, 942, 320, 35124, 339, 8, 765, 23860, 74, 735, 543, 258, 320, 21247, 8, 765, 27973, 2259, 549, 35103, 765, 480, 531, 9939, 1974, 31031, 220, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 21, 394, 9432, 91, 220, 679, 21, 4235, 1114, 765, 23860, 74, 735, 543, 258, 692, 765, 64749, 7453, 32284, 942, 9607, 17137, 765, 14662, 3919, 21097, 942, 262, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 61697, 426, 7053, 1078, 765, 468, 1671, 3791, 7826, 220, 679, 21, 320, 22, 339, 8, 286, 9432, 91, 220, 679, 21, 4235, 1114, 765, 23860, 74, 735, 543, 258, 692, 765, 27973, 2259, 549, 35103, 257, 765, 14662, 3919, 21097, 942, 262, 765, 480, 531, 9939, 1974, 31031, 220, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 679, 22, 394, 9432, 91, 220, 679, 22, 4235, 972, 765, 64749, 7453, 32284, 942, 9607, 17137, 256, 765, 14662, 3919, 21097, 942, 286, 765, 68279, 24540, 4355, 3365, 25188, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 11291, 29853, 455, 11, 61697, 426, 7053, 765, 468, 11637, 220, 679, 23, 320, 605, 339, 8, 1881, 9432, 91, 220, 679, 24, 4235, 508, 765, 27973, 2259, 549, 35103, 996, 765, 14662, 3919, 21097, 942, 286, 765, 36783, 16071, 76, 415, 765, 1901, 24155, 3402, 375, 257, 765, 1733, 765, 667, 765, 328, 1671, 3791, 220, 2366, 15, 394, 9432, 91, 220, 679, 24, 4235, 508, 765, 64749, 7453, 32284, 942, 9607, 17137, 256, 765, 68279, 24540, 4355, 3365, 25188, 257, 765, 14662, 3919, 21097, 942, 262, 765, 27973, 2259, 549, 35103, 765, 1901, 24155, 3402, 375, 257, 765, 67463, 735, 7430, 28073, 3178, 996, 765, 468, 1671, 3791, 7826, 220, 679, 24, 9787, 468, 1671, 3791, 220, 2366, 15, 9432, 91, 220, 2366, 18, 4235, 1187, 765, 64749, 9509, 32284, 942, 9607, 17137, 256, 765, 14662, 3919, 21097, 942, 286, 765, 36783, 16071, 76, 415, 765, 21252, 2259, 27268, 81265, 765, 27973, 2259, 549, 35103, 765, 11291, 29853, 455, 310, 765, 468, 1671, 3791, 220, 2366, 19, 320, 19, 339, 8, 692, 9432, 91, 220, 2366, 19, 4235, 914, 765, 64749, 9509, 32284, 942, 9607, 17137, 256, 765, 14662, 3919, 21097, 942, 286, 765, 21252, 2259, 27268, 81265, 765, 27973, 2259, 549, 35103, 765, 40139, 48693, 942, 220, 765, 11291, 29853, 455, 310, 765, 468, 1671, 3791, 220, 2366, 20, 320, 20, 339, 8, 692, 36821, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 50884, 596, 19853, 320, 5162, 23, 4632, 340, 49, 28523, 596, 19853, 374, 264, 220, 5162, 23, 23347, 4632, 9124, 555, 362, 732, 13, 445, 2552, 369, 82910, 29485, 430, 574, 15910, 555, 41954, 27206, 323, 40500, 29607, 9259, 11, 480, 66798, 56018, 323, 35727, 23809, 627, 791, 4632, 596, 7437, 1051, 6319, 555, 279, 1989, 28454, 58906, 21293, 323, 20442, 73578, 9008, 382, 567, 27124, 198, 17205, 45259, 3842, 50884, 9221, 61914, 922, 279, 1162, 315, 459, 19411, 719, 66153, 3995, 5333, 382, 567, 11514, 198, 12, 29607, 9259, 439, 3842, 50884, 198, 12, 480, 66798, 56018, 439, 90357, 4356, 198, 12, 35727, 23809, 439, 2999, 13, 69186, 11586, 1303, 484, 198, 12, 60091, 80099, 439, 11284, 78642, 198, 12, 17520, 4418, 3532, 88, 439, 56379, 12336, 198, 12, 13759, 3258, 2895, 4091, 439, 71911, 13000, 76508, 354, 198, 12, 386, 6181, 46137, 439, 62795, 198, 12, 12131, 1676, 2963, 439, 2418, 304, 10349, 198, 12, 51965, 3623, 30636, 439, 59449, 10783, 198, 12, 3842, 11044, 13558, 439, 10289, 20148, 198, 12, 12656, 364, 97003, 6, 62245, 439, 622, 1197, 78, 198, 12, 8563, 52830, 13701, 439, 31797, 46270, 1543, 198, 12, 12336, 7462, 5770, 439, 4593, 268, 198, 12, 14596, 80792, 439, 29770, 198, 12, 29517, 445, 1468, 1565, 439, 61446, 198, 12, 19412, 689, 65914, 12201, 439, 18083, 13, 60777, 2017, 1432, 567, 62926, 5814, 198, 12, 31248, 11, 29808, 13, 68198, 315, 41445, 17042, 46085, 13, 2522, 548, 52905, 8612, 11, 220, 1049, 24, 382, 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 ]

[ 128000, 2, 8529, 650, 62800, 74, 408, 8458, 486, 198, 25763, 650, 62800, 74, 408, 8458, 486, 320, 16381, 220, 17, 6250, 220, 3753, 19, 304, 432, 7217, 301, 548, 8, 374, 264, 49162, 37038, 889, 706, 10434, 439, 264, 12308, 315, 279, 7665, 20302, 320, 7614, 47, 8, 505, 220, 679, 19, 3156, 220, 679, 24, 323, 1578, 2533, 220, 2366, 16, 13, 1283, 374, 264, 4562, 315, 279, 9052, 11650, 323, 65122, 819, 4717, 320, 6620, 5, 53, 705, 902, 23874, 304, 279, 469, 4505, 5856, 382, 567, 31597, 7076, 198, 53, 62800, 74, 408, 8458, 486, 574, 21892, 315, 279, 11325, 5, 53, 12822, 20611, 505, 220, 679, 18, 311, 220, 679, 19, 627, 644, 220, 679, 19, 11, 650, 62800, 74, 408, 8458, 486, 26399, 2947, 64452, 67675, 784, 268, 11, 889, 6244, 7665, 30454, 13, 763, 21814, 11, 568, 10434, 389, 279, 10554, 389, 23362, 323, 74214, 23298, 320, 36, 5910, 705, 279, 330, 36793, 3105, 45231, 1, 66802, 10554, 320, 47, 39874, 8, 323, 279, 46361, 369, 4398, 449, 279, 9029, 596, 5545, 315, 5734, 627, 12834, 312, 12, 66305, 279, 21814, 304, 220, 2366, 16, 11, 650, 62800, 74, 408, 8458, 486, 706, 1027, 13788, 389, 279, 10554, 389, 279, 15774, 8152, 323, 26262, 19721, 11, 279, 10554, 389, 37963, 323, 58320, 11050, 11, 279, 10554, 389, 19620, 23298, 11, 279, 10554, 389, 16803, 92586, 11, 12007, 323, 5492, 23298, 323, 279, 99256, 389, 8398, 323, 40007, 13, 763, 5369, 311, 813, 13093, 32272, 11, 706, 1027, 264, 4562, 279, 21814, 596, 46361, 369, 4398, 449, 10471, 323, 10716, 287, 279, 46361, 311, 279, 30334, 87415, 12000, 382, 567, 31597, 10093, 198, 644, 6664, 220, 2366, 16, 11, 650, 62800, 74, 408, 8458, 486, 33230, 264, 2536, 32136, 11175, 304, 902, 264, 8857, 315, 279, 7665, 20302, 71617, 279, 1054, 77098, 8163, 863, 323, 29191, 315, 56394, 83908, 37038, 7043, 432, 4881, 370, 81701, 323, 28932, 279, 10013, 311, 23091, 709, 1202, 9045, 311, 9966, 813, 4984, 627, 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 ]

[ 128000, 2, 16344, 349, 645, 15715, 266, 121038, 198, 58524, 349, 645, 15715, 266, 121038, 374, 264, 29937, 62035, 11, 36172, 521, 69788, 11, 34454, 521, 62035, 11, 91490, 11, 21236, 35831, 17854, 2411, 449, 264, 3254, 25685, 5292, 616, 372, 505, 279, 64677, 16344, 349, 645, 11, 902, 574, 25181, 505, 13076, 3090, 323, 7878, 3090, 13, 32042, 552, 315, 432, 13, 15715, 266, 121038, 527, 2867, 627, 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 ]

[ 128000, 2, 23683, 526, 3444, 650, 3864, 7911, 48654, 84203, 60347, 329, 198, 38342, 526, 3444, 650, 3864, 7911, 48654, 84203, 60347, 329, 320, 51, 40818, 13683, 8, 374, 832, 315, 279, 37601, 315, 6401, 323, 12517, 66187, 6011, 315, 23683, 526, 3444, 10423, 198, 2181, 574, 19180, 505, 1628, 73010, 43458, 650, 3864, 7911, 48654, 84203, 60347, 329, 11, 902, 574, 9749, 555, 459, 1180, 315, 13543, 304, 220, 3753, 21, 13, 6007, 13683, 14454, 7524, 220, 17, 5651, 220, 679, 19, 627, 2181, 24121, 12789, 449, 279, 6278, 2237, 24461, 315, 4950, 36486, 24950, 505, 220, 966, 311, 220, 8652, 13, 578, 17437, 315, 279, 54943, 323, 279, 1023, 5687, 304, 1521, 24461, 690, 387, 11953, 1555, 279, 350, 40818, 13683, 627, 48940, 85397, 323, 12299, 85397, 315, 279, 23683, 526, 3444, 1101, 17503, 1234, 279, 5699, 315, 350, 40818, 13683, 627, 16648, 420, 220, 6889, 3158, 2237, 24461, 11, 220, 23, 9474, 2237, 24461, 11, 220, 12994, 24852, 80627, 292, 323, 220, 11387, 1252, 5676, 24461, 9041, 927, 1614, 627, 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 ]

[ 128000, 2, 452, 2192, 5169, 198, 45, 2192, 5169, 374, 264, 46284, 2728, 836, 13, 2876, 481, 1274, 449, 279, 836, 2997, 512, 12, 452, 2192, 5169, 362, 3059, 2111, 78, 320, 16381, 220, 3753, 24, 705, 36083, 23597, 77740, 18688, 198, 12, 452, 2192, 5169, 9084, 380, 467, 320, 16381, 220, 2550, 17, 705, 15506, 9141, 2851, 198, 12, 452, 2192, 5169, 469, 3427, 41796, 361, 320, 16381, 220, 3753, 18, 705, 15506, 1450, 4047, 2851, 198, 12, 452, 2192, 5169, 79275, 320, 16381, 220, 2550, 22, 705, 15506, 23597, 198, 12, 452, 2192, 5169, 23683, 1169, 57670, 320, 16381, 220, 3753, 19, 705, 15506, 5754, 81131, 271, 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 ]

[ 128000, 2, 13566, 12542, 320, 18674, 9939, 5455, 468, 1815, 28684, 13566, 12542, 320, 18674, 9939, 5455, 468, 1815, 16715, 374, 264, 18273, 5573, 5439, 369, 27374, 24306, 555, 14253, 1883, 301, 13, 578, 5573, 574, 1176, 4756, 304, 220, 7028, 24, 555, 14582, 3367, 10948, 3623, 13, 304, 1561, 4356, 11, 12551, 13, 578, 11071, 4731, 3504, 11, 6319, 555, 435, 4361, 11, 4519, 264, 6685, 315, 264, 2678, 8334, 449, 264, 9396, 304, 2394, 15950, 32635, 11509, 7771, 13, 578, 5573, 374, 12514, 311, 2394, 41622, 93537, 43179, 5075, 44061, 13, 720, 791, 11071, 4731, 649, 387, 1766, 520, 279, 393, 57821, 7197, 28058, 16730, 612, 11896, 13, 720, 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 ]

[ 128000, 2, 8563, 816, 5230, 67, 564, 318, 869, 198, 35632, 480, 2734, 7759, 5230, 718, 816, 5230, 67, 564, 318, 869, 320, 48807, 25, 119659, 104099, 116003, 104709, 4929, 118549, 122515, 7094, 15088, 16494, 6856, 26, 9405, 220, 1544, 7552, 220, 4468, 15, 8, 374, 264, 8690, 6721, 9141, 7395, 323, 264, 4846, 2851, 382, 567, 40551, 7076, 198, 2170, 264, 2851, 11, 568, 1903, 813, 17755, 304, 279, 19953, 10657, 9130, 304, 220, 3753, 22, 369, 16396, 8877, 65, 2259, 11681, 24752, 98493, 13, 1283, 6476, 220, 21, 3953, 323, 16957, 220, 16, 5915, 304, 279, 79815, 1357, 531, 2117, 11098, 220, 2550, 21, 369, 16396, 735, 1428, 24476, 88406, 486, 24752, 3919, 68, 921, 301, 3919, 627, 1548, 2834, 264, 45967, 37712, 14393, 8524, 520, 279, 220, 2550, 20, 19367, 15915, 72, 1037, 382, 567, 75478, 7076, 198, 16648, 813, 6373, 11, 16396, 507, 1466, 10481, 574, 30026, 311, 279, 8690, 20210, 9130, 369, 279, 1176, 892, 3596, 520, 279, 842, 315, 279, 220, 679, 20, 4235, 845, 3280, 13, 11205, 17755, 220, 679, 21, 4235, 1114, 8690, 20210, 9130, 3280, 9670, 449, 59782, 367, 1555, 31855, 11, 323, 816, 5230, 67, 564, 318, 869, 2163, 279, 6469, 627, 1966, 220, 845, 6664, 220, 679, 24, 11, 568, 574, 22163, 439, 6783, 315, 279, 435, 31142, 6469, 16396, 452, 450, 71, 3919, 4723, 5746, 347, 13, 1283, 574, 27292, 555, 279, 6469, 389, 220, 19, 3297, 220, 2366, 16, 11, 1403, 3953, 1603, 279, 3280, 9670, 323, 279, 6469, 574, 30026, 311, 279, 8690, 20210, 9130, 627, 1548, 374, 5131, 279, 28275, 315, 220, 393, 6897, 63649, 276, 735, 13075, 35666, 277, 382, 567, 16958, 2530, 198, 12, 8690, 20210, 9130, 18824, 25, 220, 2550, 22, 627, 12, 8690, 5629, 14829, 1888, 6783, 25, 220, 679, 15, 8032, 19, 2595, 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 ]

[ 128000, 2, 18051, 526, 21575, 198, 51, 278, 526, 21575, 374, 264, 2678, 6424, 304, 34445, 43579, 13, 1102, 374, 7559, 2949, 16642, 38894, 627, 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 ]

[ 128000, 2, 4410, 261, 9552, 267, 301, 198, 54, 5302, 9552, 267, 301, 374, 264, 57918, 304, 279, 9474, 315, 423, 411, 96026, 7674, 11, 304, 5124, 645, 38022, 11529, 337, 12711, 11, 10057, 627, 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 ]

[ 128000, 2, 33305, 9939, 718, 5124, 2357, 809, 198, 54, 38377, 9939, 718, 5124, 2357, 809, 320, 845, 5587, 220, 7028, 16, 304, 33924, 5424, 268, 1389, 220, 1591, 6790, 220, 3753, 16, 304, 83239, 8, 574, 264, 6063, 7061, 323, 4632, 7690, 13, 1283, 6575, 505, 220, 6393, 24, 311, 220, 4468, 17, 3331, 396, 20995, 320, 1543, 4210, 7690, 8, 315, 279, 800, 39367, 267, 383, 977, 83239, 11, 8647, 369, 43516, 11, 1514, 323, 279, 83239, 87736, 382, 567, 21785, 198, 2169, 954, 198, 12, 469, 2174, 24893, 11, 220, 5926, 20, 320, 4198, 301, 51984, 6383, 13667, 340, 12, 58223, 261, 3926, 8977, 35638, 11, 220, 7285, 15, 320, 4198, 301, 51984, 6383, 13667, 340, 12, 13031, 220, 972, 13, 74308, 11, 220, 7285, 17, 320, 18674, 377, 6383, 13667, 340, 12, 87128, 18022, 2073, 2815, 7023, 67, 11, 220, 7285, 18, 320, 4198, 301, 51984, 6383, 13667, 340, 12, 13031, 68065, 2073, 2761, 445, 3029, 906, 11, 220, 7285, 19, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 19537, 3926, 8977, 11, 220, 7285, 19, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 8574, 1050, 1082, 14375, 12366, 11, 220, 7285, 21, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 8574, 735, 6672, 11, 220, 7285, 23, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 13031, 2009, 332, 52985, 650, 661, 11, 220, 6393, 15, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 8, 611, 1101, 439, 13031, 2009, 332, 52985, 29622, 70, 1291, 198, 12, 666, 13213, 2073, 2815, 17723, 23190, 11, 220, 6393, 15, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 705, 42508, 198, 12, 8574, 25187, 66945, 9603, 2234, 11, 220, 6393, 24, 320, 35, 3978, 89, 18022, 12, 10351, 13667, 340, 12, 473, 6347, 22806, 285, 11, 220, 6393, 23, 320, 1951, 30032, 6383, 23698, 62294, 3223, 696, 15097, 11335, 198, 12, 386, 7828, 13553, 11, 220, 5926, 20, 11, 304, 25, 15179, 64505, 718, 11, 41970, 10864, 29953, 513, 383, 51786, 2939, 2448, 383, 473, 9603, 2203, 25641, 11, 220, 5162, 17, 320, 26368, 1796, 6383, 13667, 705, 17401, 320, 5608, 49, 11628, 18408, 340, 12, 8574, 97220, 69, 50341, 22945, 951, 16566, 266, 1764, 48994, 11, 220, 6393, 23, 320, 55218, 897, 13, 6383, 23698, 62294, 3223, 11, 473, 9603, 81985, 73143, 220, 16, 705, 17401, 320, 5608, 49, 11628, 18408, 340, 12, 13031, 60920, 1900, 57367, 2171, 14304, 11, 2211, 13, 220, 6393, 24, 11, 47913, 323, 17401, 320, 5608, 49, 11628, 18408, 340, 12, 24277, 809, 17007, 304, 3771, 677, 278, 11, 2211, 13, 220, 6280, 15, 11, 47913, 320, 5608, 49, 11628, 18408, 340, 12, 32480, 2761, 65577, 90389, 11, 220, 6280, 16, 320, 55218, 897, 13, 6383, 23698, 62294, 3223, 11, 473, 9603, 81985, 73143, 340, 12, 8574, 473, 12828, 491, 1494, 3423, 951, 13101, 54213, 386, 2112, 13, 220, 6280, 23, 320, 55218, 897, 13, 6383, 23698, 62294, 3223, 11, 473, 9603, 81985, 73143, 340, 12, 8574, 99459, 737, 14894, 11, 220, 5162, 21, 11, 47913, 320, 5608, 49, 11628, 18408, 696, 1360, 325, 198, 12, 8574, 25398, 3029, 11253, 81644, 480, 49353, 13, 9939, 89, 91885, 2234, 13, 91990, 51984, 6383, 13667, 11, 220, 5926, 20, 627, 12, 6914, 90382, 70029, 39049, 13, 4723, 16046, 13, 91990, 51984, 6383, 13667, 11, 220, 5926, 23, 627, 12, 19537, 3263, 12843, 53864, 13, 9939, 89, 91885, 2234, 13, 91990, 51984, 6383, 13667, 11, 220, 7285, 18, 627, 12, 8574, 1283, 318, 82212, 261, 13, 9939, 89, 91885, 11856, 13, 60920, 587, 18022, 424, 13667, 11, 220, 6393, 19, 627, 12, 426, 22284, 818, 37208, 66414, 13, 51342, 13, 58771, 6383, 23698, 62294, 3223, 11, 220, 4468, 20, 11, 34526, 4194, 18, 12, 18245, 12, 17248, 1644, 12, 21, 627, 12, 27446, 483, 8489, 268, 7367, 2486, 61626, 8156, 951, 66414, 13, 51342, 13, 58771, 6383, 23698, 62294, 3223, 11, 220, 4468, 21, 627, 12, 8574, 386, 6339, 951, 5124, 12119, 45336, 388, 13, 11775, 13, 58771, 6383, 23698, 62294, 3223, 11, 220, 3753, 16, 11, 34526, 4194, 18, 12, 18245, 12, 15101, 4103, 12, 20, 382, 33, 699, 65, 91460, 323, 1647, 67245, 198, 12, 81263, 406, 261, 432, 2734, 531, 11, 3263, 74608, 304, 32108, 29931, 13, 5124, 16461, 80998, 6383, 13667, 11, 220, 5162, 17, 198, 12, 51970, 49782, 8910, 13, 80474, 424, 13667, 11, 220, 5162, 22, 198, 12, 468, 13327, 438, 52475, 13, 21097, 24233, 89285, 2073, 2009, 84314, 13, 432, 1780, 468, 8154, 6915, 6383, 13667, 11, 220, 4468, 15, 198, 12, 8574, 800, 21493, 70, 5408, 60920, 1900, 3376, 220, 6280, 15, 4235, 4468, 17, 13, 92508, 441, 424, 13667, 11, 220, 4468, 17, 11, 34526, 4194, 18, 12, 24216, 20, 12, 6726, 18, 12, 24, 198, 12, 3842, 4656, 93952, 11, 33305, 9939, 718, 5124, 2357, 809, 25, 50471, 3453, 58780, 13, 21031, 652, 95750, 5568, 33305, 9939, 718, 5124, 2357, 809, 13, 328, 13, 63016, 6383, 13667, 11, 220, 4468, 19, 11, 34526, 4194, 18, 12, 605, 12, 15901, 12405, 12, 24, 271, 6618, 198, 12, 5124, 12119, 20898, 273, 11, 473, 9603, 2203, 25641, 320, 28897, 11, 7855, 11335, 8, 304, 1403, 27378, 17, 426, 91460, 11, 58771, 6383, 23698, 62294, 3223, 220, 5162, 22, 1432, 567, 48132, 198, 12, 7043, 469, 1291, 18022, 25, 79030, 2761, 11680, 86, 62911, 22412, 68875, 21740, 1130, 473, 27538, 21215, 2073, 951, 473, 27538, 35180, 328, 13, 356, 13, 26560, 1609, 2761, 70891, 473, 27538, 35180, 31242, 330, 33179, 689, 1, 2073, 330, 50, 361, 20708, 1, 16419, 220, 1954, 13, 800, 2130, 2234, 17692, 478, 2761, 330, 33179, 689, 3343, 83239, 11529, 27538, 21215, 220, 5162, 16, 627, 12, 2418, 29093, 480, 13, 18989, 32932, 25, 435, 1412, 12021, 69, 69695, 951, 31242, 6063, 689, 473, 27538, 21215, 220, 1049, 21, 4286, 567, 47470, 198, 12, 3842, 4656, 93952, 25, 50471, 3453, 58780, 13, 21031, 652, 95750, 5568, 33305, 9939, 718, 5124, 2357, 809, 13, 328, 13, 63016, 11, 56284, 1097, 4802, 220, 4468, 19, 198, 12, 16991, 41752, 16852, 606, 7826, 278, 61373, 320, 1049, 20, 570, 330, 31224, 2357, 809, 11, 33305, 9939, 718, 3343, 76663, 58771, 12371, 3257, 648, 320, 258, 6063, 570, 11119, 13, 4194, 1313, 13, 20437, 25, 29838, 15512, 612, 20449, 2067, 354, 13, 12086, 13, 4194, 21164, 4235, 20998, 13, 4194, 30007, 1495, 2930, 4390, 12, 74210, 735, 8669, 25, 19537, 735, 77531, 2635, 62714, 16419, 423, 12429, 51659, 13, 36880, 4208, 574, 14230, 2073, 14375, 220, 6393, 20, 13, 63016, 11, 56284, 1097, 4802, 220, 1049, 22, 11, 34526, 4194, 17272, 12, 18, 12, 605, 12, 21602, 17470, 12, 20, 11, 281, 13, 220, 21164, 198, 12, 35131, 16991, 14172, 31779, 261, 11, 58463, 6675, 800, 299, 71, 1195, 320, 291, 13, 1680, 33305, 9939, 718, 5124, 2357, 809, 16419, 220, 845, 13, 85232, 89, 220, 4468, 16, 13, 435, 18450, 83950, 13, 92508, 441, 11, 393, 9054, 29018, 220, 4468, 16, 198, 12, 97156, 432, 14625, 276, 25, 52410, 69617, 38571, 29234, 85567, 13, 13031, 80210, 266, 25840, 2073, 3331, 396, 20995, 33305, 9939, 718, 5124, 2357, 809, 13, 468, 80848, 51195, 6383, 13667, 350, 7401, 320, 54, 21089, 705, 350, 7401, 220, 2550, 24, 198, 12, 33305, 9939, 718, 5124, 2357, 809, 25, 426, 22284, 818, 37208, 66414, 13, 9939, 4481, 11856, 13, 58771, 6383, 23698, 59016, 267, 3223, 11, 83239, 220, 4468, 20, 627, 12, 20643, 80835, 25, 30397, 27446, 8799, 13, 52410, 12371, 120492, 13, 320, 35, 43840, 25, 30397, 27446, 8799, 2073, 2815, 468, 2448, 3423, 880, 7881, 10782, 60920, 1900, 3376, 220, 5162, 19, 4235, 4468, 20, 705, 5124, 1751, 10948, 11, 4802, 89, 220, 1049, 22, 198, 12, 1283, 41622, 30605, 11289, 441, 25, 304, 330, 23376, 2448, 383, 473, 9603, 2203, 25641, 498, 7043, 1796, 424, 13667, 11, 90366, 220, 5162, 17, 198, 12, 8096, 33518, 52757, 11, 35131, 383, 41622, 435, 54252, 25, 20602, 42237, 29222, 56414, 383, 330, 626, 55243, 737, 423, 12429, 51659, 25, 8574, 18798, 466, 15893, 333, 2234, 498, 220, 3753, 18, 627, 12, 452, 3590, 58771, 12371, 3257, 648, 15179, 54, 38377, 9939, 718, 5124, 2357, 809, 2118, 627, 12, 20643, 80835, 25, 30397, 27446, 8799, 13, 52410, 12371, 120492, 13, 5124, 1751, 10948, 1432, 567, 45565, 198, 12, 35131, 16991, 14172, 31779, 261, 320, 2239, 705, 33305, 432, 2448, 9783, 320, 19612, 1680, 33305, 9939, 718, 5124, 2357, 809, 12666, 8574, 578, 266, 531, 13827, 37208, 52683, 939, 618, 77, 9608, 452, 22970, 47364, 944, 11, 1901, 5375, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 480, 1540, 5697, 17533, 115712, 198, 38, 1540, 5697, 17533, 115712, 320, 72239, 20018, 510, 133, 94, 9769, 135, 238, 81, 133, 110, 64, 135, 238, 294, 131, 242, 14720, 134, 233, 64, 1145, 330, 14585, 17533, 115712, 909, 374, 832, 315, 279, 27536, 315, 89718, 32575, 11, 58311, 13, 720, 2181, 374, 7559, 304, 279, 87244, 961, 315, 279, 3363, 323, 706, 220, 5547, 11, 25496, 40771, 320, 679, 16, 44702, 570, 4815, 567, 52941, 13096, 198, 791, 9474, 374, 24306, 315, 279, 2768, 33100, 320, 76, 21297, 7907, 297, 2042, 13915, 997, 12, 77018, 1009, 66, 482, 72995, 58067, 4175, 198, 12, 100713, 84, 110032, 3841, 198, 12, 71507, 1009, 66, 198, 12, 17533, 762, 198, 12, 17533, 115712, 482, 274, 65699, 11906, 668, 320, 3133, 340, 12, 480, 1540, 5697, 17533, 115712, 198, 12, 2895, 2194, 11906, 2259, 198, 12, 2895, 2194, 11906, 53977, 4723, 14966, 198, 12, 29041, 13637, 198, 12, 386, 8869, 58067, 4175, 198, 12, 4723, 974, 35853, 198, 12, 507, 4406, 1009, 66, 198, 12, 3735, 23685, 560, 198, 12, 20783, 6780, 6117, 198, 12, 1183, 39142, 13453, 3074, 198, 12, 1901, 8564, 72, 293, 20894, 797, 271, 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 ]

[ 128000, 2, 11035, 287, 520, 279, 220, 1049, 21, 14875, 11871, 1389, 11258, 596, 1080, 87, 1752, 3116, 198, 791, 3026, 596, 1080, 87, 1752, 3116, 10937, 520, 279, 220, 1049, 21, 14875, 11871, 304, 423, 66183, 574, 5762, 505, 220, 18, 6790, 311, 220, 22, 6790, 520, 279, 4410, 9332, 445, 68513, 627, 12834, 423, 66183, 574, 59290, 315, 3090, 279, 6138, 1047, 311, 387, 66663, 505, 5410, 220, 1049, 15, 20645, 311, 220, 1041, 15, 20645, 382, 567, 24416, 198, 2460, 3115, 527, 23931, 12028, 4212, 320, 21872, 10, 2839, 25, 410, 340, 91, 2696, 2611, 765, 4212, 220, 765, 3749, 415, 9432, 91, 14730, 23573, 765, 35803, 765, 44889, 9432, 91, 7418, 11, 220, 18, 6790, 220, 1049, 21, 256, 765, 220, 845, 25, 605, 765, 1283, 1900, 415, 9432, 91, 7159, 11, 220, 19, 6790, 220, 1049, 21, 256, 765, 220, 868, 25, 508, 765, 1050, 375, 331, 1154, 9432, 91, 7742, 11, 220, 20, 6790, 220, 1049, 21, 220, 765, 220, 868, 25, 1272, 765, 14582, 333, 24624, 9432, 91, 7950, 11, 220, 22, 6790, 220, 1049, 21, 765, 220, 605, 25, 508, 765, 46147, 257, 765, 1432, 567, 18591, 271, 14711, 1283, 1900, 198, 12, 20143, 2461, 25, 220, 16, 4235, 17, 11651, 14582, 333, 24624, 362, 16675, 320, 7934, 16675, 705, 220, 18, 4235, 19, 11651, 1050, 375, 331, 1154, 320, 49, 3707, 827, 27162, 220, 16, 198, 91, 19856, 765, 8068, 5351, 4391, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 16974, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 6457, 320, 41, 18378, 8, 9787, 28372, 99938, 31866, 9787, 816, 45644, 473, 343, 1003, 16618, 3105, 9787, 432, 564, 2868, 71, 7777, 372, 5808, 9787, 74108, 258, 13915, 328, 4428, 260, 765, 220, 18, 25, 1544, 13, 5332, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 4987, 12126, 320, 42, 878, 8, 9787, 33680, 7695, 12, 441, 359, 9787, 12044, 96660, 12, 49874, 9787, 735, 55767, 10320, 3178, 13636, 2234, 9787, 21296, 44472, 2902, 359, 260, 765, 220, 18, 25, 843, 13, 2983, 765, 16998, 16675, 220, 9432, 91, 220, 18, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 1881, 765, 220, 18, 25, 1758, 13, 1691, 765, 432, 257, 9432, 91, 220, 19, 262, 765, 23315, 320, 53, 5484, 8, 9787, 119644, 51427, 59606, 118437, 70343, 9787, 105947, 51427, 59606, 473, 4168, 9787, 105947, 111978, 104491, 9787, 105947, 106422, 114425, 765, 220, 18, 25, 1774, 13, 5495, 765, 432, 257, 765, 1432, 827, 27162, 220, 17, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 5734, 320, 2198, 45, 8, 9787, 356, 2005, 69054, 71, 2005, 9787, 17360, 473, 2005, 9787, 77547, 921, 10602, 41287, 9787, 1283, 48934, 1408, 765, 220, 18, 25, 508, 13, 5932, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 90959, 9121, 320, 117983, 33, 8, 9787, 90678, 74976, 14910, 462, 71, 9787, 55371, 16618, 8211, 352, 5230, 9787, 13041, 20717, 1003, 88, 869, 9787, 74529, 350, 8503, 257, 765, 220, 18, 25, 914, 13, 2371, 765, 16998, 16675, 220, 9432, 91, 220, 18, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 18, 25, 1544, 13, 4161, 765, 432, 257, 9432, 91, 220, 19, 262, 765, 17076, 320, 8201, 42, 8, 9787, 21252, 404, 41769, 9787, 36831, 1666, 329, 25273, 9787, 452, 2706, 266, 13528, 318, 9787, 36831, 63140, 301, 76086, 220, 765, 220, 18, 25, 3174, 13, 966, 765, 432, 257, 765, 1432, 827, 27162, 220, 18, 198, 91, 19856, 765, 8068, 14984, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 24793, 4521, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 6890, 320, 5358, 8, 9787, 44327, 2227, 4385, 52022, 16965, 9787, 25937, 321, 62064, 19285, 9787, 74874, 71, 3841, 295, 27992, 9787, 13479, 819, 28978, 6151, 765, 220, 18, 25, 1691, 13, 2839, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 24922, 320, 33004, 8, 9787, 11355, 11166, 36409, 9787, 8279, 37489, 9787, 96757, 8512, 258, 9787, 2209, 86, 65674, 2342, 765, 220, 18, 25, 1591, 13, 5833, 765, 16998, 16675, 220, 9432, 91, 220, 18, 262, 765, 10471, 320, 2871, 40, 8, 9787, 362, 1083, 21456, 276, 55619, 9787, 94286, 393, 3036, 276, 9787, 1676, 1543, 386, 564, 427, 12273, 9787, 37617, 258, 1901, 548, 20568, 256, 765, 220, 18, 25, 2790, 13, 777, 765, 432, 257, 765, 1432, 14711, 1050, 375, 331, 1154, 198, 12, 20143, 2461, 25, 220, 16, 11651, 14582, 333, 24624, 362, 16675, 320, 7934, 16675, 705, 220, 17, 4235, 18, 11651, 13321, 356, 320, 6897, 3707, 827, 1050, 375, 331, 425, 220, 16, 198, 91, 19856, 765, 8068, 5351, 3909, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 515, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 1835, 765, 220, 18, 25, 2437, 13, 2075, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 17076, 320, 8201, 42, 8, 9787, 21252, 404, 41769, 9787, 36831, 1666, 329, 25273, 9787, 452, 2706, 266, 13528, 318, 9787, 36831, 63140, 301, 76086, 765, 220, 18, 25, 2318, 13, 1135, 765, 16396, 262, 9432, 91, 220, 18, 262, 765, 10471, 320, 2871, 40, 8, 9787, 362, 1083, 21456, 276, 55619, 9787, 94286, 393, 3036, 276, 9787, 1676, 1543, 386, 564, 427, 12273, 9787, 37617, 258, 1901, 548, 20568, 310, 765, 220, 18, 25, 1114, 13, 605, 765, 16396, 262, 765, 1432, 827, 1050, 375, 331, 425, 220, 17, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 18, 25, 2437, 13, 1958, 765, 16998, 16675, 220, 9432, 91, 220, 17, 262, 765, 23315, 320, 53, 5484, 8, 9787, 119644, 51427, 59606, 118437, 70343, 9787, 105947, 51427, 59606, 473, 4168, 9787, 105947, 111978, 104491, 9787, 105947, 106422, 114425, 262, 765, 220, 18, 25, 806, 13, 1682, 765, 16396, 262, 765, 1432, 14711, 14582, 333, 24624, 198, 12, 20143, 2461, 25, 220, 16, 4235, 17, 11651, 13321, 362, 320, 3711, 705, 220, 18, 4235, 19, 11651, 13321, 426, 320, 16606, 3707, 827, 14582, 333, 992, 362, 16675, 220, 16, 198, 91, 19856, 765, 8068, 96529, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 15431, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 6890, 320, 5358, 8, 9787, 44327, 2227, 4385, 52022, 16965, 9787, 25937, 321, 62064, 19285, 9787, 74874, 71, 3841, 295, 27992, 9787, 13479, 819, 28978, 6151, 996, 765, 220, 17, 25, 1135, 13, 3971, 765, 15358, 262, 9432, 91, 220, 17, 262, 765, 6457, 320, 41, 18378, 8, 9787, 28372, 99938, 31866, 9787, 816, 45644, 473, 343, 1003, 16618, 3105, 9787, 432, 564, 2868, 71, 7777, 372, 5808, 9787, 74108, 258, 13915, 328, 4428, 286, 765, 220, 17, 25, 4103, 13, 2304, 765, 15358, 262, 9432, 91, 220, 18, 262, 765, 90959, 9121, 320, 117983, 33, 8, 9787, 90678, 74976, 14910, 462, 71, 9787, 55371, 16618, 8211, 352, 5230, 9787, 13041, 20717, 1003, 88, 869, 9787, 74529, 350, 8503, 765, 220, 17, 25, 3226, 13, 4044, 765, 33021, 262, 9432, 91, 220, 19, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 692, 765, 220, 17, 25, 2970, 13, 806, 765, 33021, 262, 765, 1432, 827, 14582, 333, 992, 362, 16675, 220, 17, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 765, 18559, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 765, 35803, 9432, 91, 220, 16, 262, 765, 5734, 320, 2198, 45, 8, 9787, 356, 2005, 69054, 71, 2005, 9787, 17360, 473, 2005, 9787, 77547, 921, 10602, 41287, 9787, 1283, 48934, 1408, 765, 220, 17, 25, 4103, 13, 1032, 765, 15358, 262, 9432, 91, 220, 17, 262, 765, 24922, 320, 33004, 8, 9787, 11355, 11166, 36409, 9787, 8279, 37489, 9787, 96757, 8512, 258, 9787, 2209, 86, 65674, 5218, 765, 220, 17, 25, 4103, 13, 3487, 765, 15358, 262, 9432, 91, 220, 18, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 17, 25, 2970, 13, 5547, 765, 33021, 262, 9432, 91, 220, 19, 262, 765, 4987, 12126, 320, 42, 878, 8, 9787, 33680, 7695, 12, 441, 359, 9787, 12044, 96660, 12, 49874, 9787, 735, 55767, 10320, 3178, 13636, 2234, 9787, 21296, 44472, 2902, 359, 310, 765, 220, 17, 25, 2946, 13, 4643, 765, 33021, 262, 765, 1432, 14711, 46147, 271, 827, 13321, 356, 198, 91, 19856, 765, 8068, 5351, 3909, 765, 4212, 262, 9432, 91, 11556, 765, 40473, 515, 765, 61258, 9432, 91, 220, 16, 262, 765, 23315, 320, 53, 5484, 8, 9787, 119644, 51427, 59606, 118437, 70343, 9787, 105947, 51427, 59606, 473, 4168, 9787, 105947, 111978, 104491, 9787, 105947, 106422, 114425, 256, 765, 220, 18, 25, 508, 13, 2096, 9432, 91, 220, 17, 262, 765, 17076, 320, 8201, 42, 8, 9787, 21252, 404, 41769, 9787, 36831, 1666, 329, 25273, 9787, 452, 2706, 266, 13528, 318, 9787, 36831, 63140, 301, 76086, 765, 220, 18, 25, 966, 13, 1721, 9432, 91, 220, 18, 262, 765, 10471, 320, 2871, 40, 8, 9787, 362, 1083, 21456, 276, 55619, 9787, 94286, 393, 3036, 276, 9787, 1676, 1543, 386, 564, 427, 12273, 9787, 37617, 258, 1901, 548, 20568, 310, 765, 220, 18, 25, 1644, 13, 1490, 765, 1432, 827, 13321, 426, 198, 91, 19856, 765, 8068, 5351, 2611, 765, 4212, 262, 9432, 91, 11556, 765, 40473, 23573, 765, 61258, 9432, 91, 220, 16, 262, 765, 90959, 9121, 320, 117983, 33, 8, 9787, 90678, 74976, 14910, 462, 71, 9787, 55371, 16618, 8211, 352, 5230, 9787, 13041, 20717, 1003, 88, 869, 9787, 74529, 350, 8503, 257, 765, 220, 18, 25, 1313, 13, 4578, 9432, 91, 220, 17, 262, 765, 4987, 12126, 320, 42, 878, 8, 9787, 33680, 7695, 12, 441, 359, 9787, 12044, 96660, 12, 49874, 9787, 735, 55767, 10320, 3178, 13636, 2234, 9787, 21296, 44472, 2902, 359, 310, 765, 220, 18, 25, 1187, 13, 845, 9432, 91, 220, 18, 262, 765, 73537, 320, 42, 24476, 8, 9787, 38577, 81, 76263, 395, 869, 9787, 67221, 462, 88, 8940, 52767, 9787, 42521, 328, 427, 93952, 9787, 67221, 462, 88, 16807, 26490, 869, 765, 220, 18, 25, 914, 13, 806, 9432, 91, 220, 19, 262, 765, 4892, 12126, 320, 6616, 42, 8, 9787, 11186, 72118, 2427, 3178, 9787, 40648, 10320, 263, 11843, 337, 9787, 13662, 19508, 13703, 9787, 52830, 85214, 1481, 647, 1078, 765, 220, 18, 25, 1544, 13, 5332, 765, 1432, 827, 13321, 362, 198, 91, 19856, 3586, 765, 8068, 14984, 765, 4212, 262, 9432, 91, 14730, 20098, 765, 24793, 4521, 765, 61258, 9432, 91, 220, 16, 267, 2035, 11, 6761, 37712, 380, 1161, 8, 256, 765, 6457, 320, 41, 18378, 8, 9787, 28372, 99938, 31866, 9787, 816, 45644, 473, 343, 1003, 16618, 3105, 9787, 432, 564, 2868, 71, 7777, 372, 5808, 9787, 74108, 258, 13915, 328, 4428, 220, 765, 220, 18, 25, 2371, 13, 2166, 9432, 91, 220, 17, 303, 2035, 11, 15310, 37712, 380, 1161, 8, 765, 6890, 320, 5358, 8, 9787, 44327, 2227, 4385, 52022, 16965, 9787, 25937, 321, 62064, 19285, 9787, 74874, 71, 3841, 295, 27992, 9787, 13479, 819, 28978, 6151, 765, 220, 18, 25, 2318, 13, 3264, 9432, 91, 220, 18, 6634, 2035, 11, 40907, 37712, 380, 1161, 8, 765, 24922, 320, 33004, 8, 9787, 11355, 11166, 36409, 9787, 8279, 37489, 9787, 96757, 8512, 258, 9787, 2209, 86, 65674, 2342, 765, 220, 18, 25, 2545, 13, 6069, 9432, 91, 220, 19, 6663, 765, 5734, 320, 2198, 45, 8, 9787, 356, 2005, 69054, 71, 2005, 9787, 17360, 473, 2005, 9787, 77547, 921, 10602, 41287, 9787, 1283, 48934, 2611, 765, 220, 18, 25, 2545, 13, 3264, 36821, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 41677, 520, 41677, 432, 198, 49, 266, 520, 41677, 432, 574, 264, 2360, 32418, 7200, 14454, 304, 220, 3753, 16, 555, 62740, 33412, 52212, 2442, 7870, 13, 578, 4731, 315, 41677, 520, 41677, 432, 649, 1888, 387, 7633, 439, 17418, 36185, 12248, 4731, 477, 12248, 7091, 4731, 382, 567, 11346, 198, 38363, 305, 14612, 505, 21750, 10481, 11, 20355, 11, 814, 15453, 70209, 311, 19895, 11, 719, 279, 7200, 5246, 70209, 311, 1561, 4356, 4409, 596, 28636, 6460, 17072, 311, 5249, 279, 34385, 12248, 7091, 6237, 11, 449, 44317, 30160, 11, 11406, 61891, 11, 323, 4593, 598, 11, 4315, 872, 59504, 5548, 13, 41677, 520, 41677, 432, 1051, 21420, 45518, 520, 22024, 5494, 753, 627, 49, 266, 520, 41677, 432, 706, 18273, 7902, 311, 12637, 21750, 10481, 10068, 11, 279, 33670, 2427, 42441, 2360, 32418, 40550, 40208, 3320, 64345, 13, 3320, 64345, 596, 36271, 11, 328, 18693, 48693, 942, 6476, 22253, 304, 41677, 2468, 41677, 432, 3156, 220, 3753, 23, 994, 1364, 2163, 311, 1514, 22253, 304, 11406, 61891, 13, 48693, 942, 574, 12860, 555, 33305, 328, 575, 805, 627, 35897, 659, 2442, 15621, 8176, 41677, 2468, 41677, 432, 574, 9124, 555, 60629, 19859, 23597, 4951, 35846, 380, 6941, 328, 91674, 13, 6941, 20462, 6476, 47389, 389, 279, 220, 2550, 16, 4984, 11, 25935, 6941, 41677, 11, 28191, 627, 35897, 17755, 8176, 574, 312, 59326, 389, 37355, 56476, 469, 5964, 299, 22293, 627, 644, 220, 679, 17, 279, 69046, 6941, 41677, 7882, 311, 32164, 311, 636, 12502, 11, 323, 3010, 7882, 311, 16327, 13, 6104, 5496, 304, 69173, 65717, 568, 12715, 279, 8176, 578, 3723, 473, 988, 13, 362, 25999, 4632, 574, 1903, 555, 76926, 393, 3178, 42930, 11, 2663, 6941, 41677, 25545, 65624, 382, 567, 11997, 5814, 271, 14711, 87823, 198, 12, 50873, 3, 579, 611, 9305, 612, 15028, 374, 15371, 11, 5843, 11406, 41677, 520, 41677, 432, 482, 320, 12852, 11, 59794, 11, 220, 3753, 20, 340, 12, 33590, 12783, 482, 320, 717, 1, 19613, 11, 14874, 713, 11628, 801, 9130, 11, 220, 3753, 23, 340, 12, 41677, 520, 41677, 432, 482, 320, 6620, 7586, 47, 11, 14874, 713, 11628, 801, 9130, 11, 220, 2550, 16, 340, 12, 50873, 3, 579, 611, 9305, 612, 15028, 374, 15371, 11, 5843, 11406, 41677, 520, 41677, 432, 482, 320, 6620, 11, 469, 5964, 299, 22293, 11, 220, 679, 17, 3707, 567, 15819, 18790, 198, 16, 13, 220, 16, 220, 17, 256, 41677, 2468, 41677, 432, 5643, 520, 11997, 27403, 198, 17, 13, 220, 16, 220, 17, 220, 356, 57572, 11, 17478, 320, 34827, 220, 24, 11, 220, 679, 17, 570, 330, 791, 54501, 11346, 315, 41677, 2468, 41677, 432, 25, 578, 34385, 8437, 689, 12, 3438, 14722, 51623, 11151, 1197, 38099, 33292, 349, 279, 1050, 90465, 315, 11205, 220, 3753, 20, 1611, 8248, 11, 50873, 3, 579, 3343, 578, 25036, 29030, 13, 58891, 7552, 220, 975, 11, 220, 2366, 16, 382, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2, 5031, 3023, 283, 198, 6728, 3023, 283, 11, 477, 304, 14916, 32435, 436, 2846, 78, 30872, 114541, 11, 374, 264, 49162, 17604, 505, 279, 11680, 315, 473, 5976, 627, 2181, 75549, 1202, 836, 505, 279, 1005, 315, 14403, 505, 264, 2132, 7625, 10789, 10887, 220, 868, 4520, 1306, 279, 13783, 7625, 10789, 13, 32140, 279, 9935, 263, 19120, 436, 11620, 30872, 67, 7438, 330, 998, 312, 1474, 34263, 3343, 1115, 17604, 50542, 220, 1049, 311, 220, 2636, 342, 13, 3277, 433, 374, 38593, 449, 12290, 433, 5334, 264, 3831, 12945, 11, 323, 994, 38593, 449, 14403, 433, 13912, 264, 23900, 12945, 13, 1102, 374, 3629, 6216, 304, 9863, 627, 2181, 1511, 311, 387, 2663, 34426, 354, 323, 574, 9076, 439, 264, 8352, 13, 18156, 2663, 5659, 425, 409, 473, 5976, 320, 1557, 2423, 315, 473, 5976, 705, 433, 574, 9967, 7878, 555, 49162, 42870, 323, 6216, 304, 29827, 12098, 627, 6728, 3023, 283, 574, 3118, 520, 279, 87647, 323, 56284, 282, 4825, 304, 279, 220, 1114, 339, 9478, 11, 1405, 433, 574, 31207, 555, 473, 5976, 3026, 369, 16071, 12711, 36952, 11, 323, 304, 445, 91122, 1405, 279, 473, 5976, 42870, 1051, 2663, 305, 7403, 19342, 13, 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 ]

Metric	Count
Total Input Rows	1,740,000
Deduplicated (Dropped)	7,137
Final Rows Kept	1,627,317
Total Tokens	1,190,651,989

Datasets:

Ba2han
/

pt-1501-tokenized-2.2

Tokenized Dataset: pt-1501-tokenized-2

Statistics

Dataset Breakdown